{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0001","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"symbol\",\"value\":\"a\"}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {type:\"symbol\",value:\"a\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {type:\"symbol\",value:\"a\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186001,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"symbol","value":"a"},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{type:\"symbol\",value:\"a\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0002","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186002,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0003","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186003,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0004","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186004,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0005","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186005,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0006","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186006,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"symbol","value":"c"},{"type":"star","child":{"type":"symbol","value":"a"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0007","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186007,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0008","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186008,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0009","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186009,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0010","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186010,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0011","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{type:\"symbol\",value:\"b\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{type:\"symbol\",value:\"b\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186011,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"symbol","value":"b"},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{type:\"symbol\",value:\"b\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0012","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186012,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0013","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186013,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0014","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186014,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0015","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186015,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0016","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{type:\"symbol\",value:\"a\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{type:\"symbol\",value:\"a\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186016,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"symbol","value":"a"},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{type:\"symbol\",value:\"a\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0017","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186017,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0018","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186018,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0019","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186019,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0020","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186020,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0021","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186021,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"symbol","value":"c"},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0022","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186022,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0023","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186023,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0024","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186024,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0025","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-ast-qualification；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 是, typed_AST_symbols_in_alphabet)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-ast-qualification","seed":202611186025,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"domain":"Exact_typed_regular_expression","operation":"regex-ast-qualification","semantic_template":"regex-ast-qualification|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0026","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"symbol\",\"value\":\"a\"},\"max_length\":1}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {type:\"symbol\",value:\"a\"}, 1, [[a]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {type:\"symbol\",value:\"a\"}, 1, [[a]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186026,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"symbol","value":"a"},"max_length":1,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:1,regex:{type:\"symbol\",value:\"a\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0027","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"max_length\":2}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, 2, [[b, c]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, 2, [[b, c]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186027,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"max_length":2,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:2,regex:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0028","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"max_length\":3}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, 3, [[c, a, b]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, 3, [[c, a, b]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186028,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},"max_length":3,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:3,regex:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0029","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},\"max_length\":4}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, 4, [[a, b, c, a]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, 4, [[a, b, c, a]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186029,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},"max_length":4,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:4,regex:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0030","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"max_length\":5}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, 5, [[b, c, a, b, c]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, 5, [[b, c, a, b, c]], 1, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186030,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"max_length":5,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:5,regex:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0031","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"max_length\":1}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}, 1, [[], [a], [c]], 3, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}, 1, [[], [a], [c]], 3, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186031,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"symbol","value":"c"},{"type":"star","child":{"type":"symbol","value":"a"}}]},"max_length":1,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:1,regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0032","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"max_length\":2}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, 2, [[], [b], [a, b], [b, b]], 4, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, 2, [[], [b], [a, b], [b, b]], 4, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186032,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"max_length":2,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:2,regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0033","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},\"max_length\":3}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}, 3, [[], [c], [c, c], [b, c, a], [c, c, c]], 5, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}, 3, [[], [c], [c, c], [b, c, a], [c, c, c]], 5, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186033,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"max_length":3,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:3,regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0034","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"max_length\":4}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}, 4, [[], [a], [a, a], [a, a, a], [a, a, a, a], [c, a, b, c]], 6, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}, 4, [[], [a], [a, a], [a, a, a], [a, a, a, a], [c, a, b, c]], 6, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186034,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"max_length":4,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:4,regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0035","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"max_length\":5}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, 5, [[], [b], [b, b], [b, b, b], [b, b, b, b], [a, b, c, a, b], [b, b, b, b, b]], 7, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, 5, [[], [b], [b, b], [b, b, b], [b, b, b, b], [a, b, c, a, b], [b, b, b, b, b]], 7, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186035,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"max_length":5,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:5,regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0036","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"max_length\":1}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{type:\"symbol\",value:\"b\"}],type:\"union\"}],type:\"union\"}, 1, [[], [a], [b], [c]], 4, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{type:\"symbol\",value:\"b\"}],type:\"union\"}],type:\"union\"}, 1, [[], [a], [b], [c]], 4, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186036,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"symbol","value":"b"},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"max_length":1,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:1,regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{type:\"symbol\",value:\"b\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0037","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"max_length\":2}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 2, [[], [a], [b], [a, a], [b, b], [c, a]], 6, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 2, [[], [a], [b], [a, a], [b, b], [c, a]], 6, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186037,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"max_length":2,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:2,regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0038","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},\"max_length\":3}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 3, [[], [b], [c], [b, b], [c, c], [a, b, c], [b, b, b], [c, c, c]], 8, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 3, [[], [b], [c], [b, b], [c, c], [a, b, c], [b, b, b], [c, c, c]], 8, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186038,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"max_length":3,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:3,regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0039","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"max_length\":4}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 4, [[], [a], [c], [a, a], [c, c], [a, a, a], [c, c, c], [a, a, a, a], [b, c, a, b], [c, c, c, c]], 10, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 4, [[], [a], [c], [a, a], [c, c], [a, a, a], [c, c, c], [a, a, a, a], [b, c, a, b], [c, c, c, c]], 10, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186039,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"max_length":4,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:4,regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0040","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"max_length\":5}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 5, [[], [a], [b], [a, a], [b, b], [a, a, a], [b, b, b], [a, a, a, a], [b, b, b, b], [a, a, a, a, a], [b, b, b, b, b], [c, a, b, c, a]], 12, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, 5, [[], [a], [b], [a, a], [b, b], [a, a, a], [b, b, b], [a, a, a, a], [b, b, b, b], [a, a, a, a, a], [b, b, b, b, b], [c, a, b, c, a]], 12, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186040,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"max_length":5,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:5,regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0041","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"max_length\":1}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{type:\"symbol\",value:\"a\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 1, [[], [a], [b], [c]], 4, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{type:\"symbol\",value:\"a\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 1, [[], [a], [b], [c]], 4, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186041,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"symbol","value":"a"},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"max_length":1,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:1,regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{type:\"symbol\",value:\"a\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0042","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"max_length\":2}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 2, [[], [a], [b], [c], [a, a], [b, b], [b, c], [c, c]], 8, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 2, [[], [a], [b], [c], [a, a], [b, b], [b, c], [c, c]], 8, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186042,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"max_length":2,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:2,regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0043","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},\"max_length\":3}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 3, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, a, b], [c, c, c]], 11, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 3, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, a, b], [c, c, c]], 11, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186043,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"max_length":3,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:3,regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0044","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"max_length\":4}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 4, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, c, c], [a, a, a, a], [a, b, c, a], [b, b, b, b], [c, c, c, c]], 14, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 4, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, c, c], [a, a, a, a], [a, b, c, a], [b, b, b, b], [c, c, c, c]], 14, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186044,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"max_length":4,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:4,regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0045","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"max_length\":5}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 5, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, c, c], [a, a, a, a], [b, b, b, b], [c, c, c, c], [a, a, a, a, a], [b, b, b, b, b], [b, c, a, b, c], [c, c, c, c, c]], 17, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 5, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, c, c], [a, a, a, a], [b, b, b, b], [c, c, c, c], [a, a, a, a, a], [b, b, b, b, b], [b, c, a, b, c], [c, c, c, c, c]], 17, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186045,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"max_length":5,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:5,regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0046","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"max_length\":1}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 1, [[], [a], [b], [c]], 4, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 1, [[], [a], [b], [c]], 4, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186046,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"symbol","value":"c"},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"max_length":1,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:1,regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0047","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"max_length\":2}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 2, [[], [a], [b], [c], [a, a], [a, b], [b, b], [c, c]], 8, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 2, [[], [a], [b], [c], [a, a], [a, b], [b, b], [c, c]], 8, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186047,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"max_length":2,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:2,regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0048","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},\"max_length\":3}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 3, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [b, c, a], [c, c, c]], 11, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 3, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [b, c, a], [c, c, c]], 11, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186048,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"max_length":3,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:3,regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0049","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"max_length\":4}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 4, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, c, c], [a, a, a, a], [b, b, b, b], [c, a, b, c], [c, c, c, c]], 14, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 4, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, c, c], [a, a, a, a], [b, b, b, b], [c, a, b, c], [c, c, c, c]], 14, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186049,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"max_length":4,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:4,regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0050","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-bounded-language；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"max_length\":5}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 5, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, c, c], [a, a, a, a], [b, b, b, b], [c, c, c, c], [a, a, a, a, a], [a, b, c, a, b], [b, b, b, b, b], [c, c, c, c, c]], 17, 是, epsilon_cycles_terminate_by_extensional_dedup)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, 5, [[], [a], [b], [c], [a, a], [b, b], [c, c], [a, a, a], [b, b, b], [c, c, c], [a, a, a, a], [b, b, b, b], [c, c, c, c], [a, a, a, a, a], [a, b, c, a, b], [b, b, b, b, b], [c, c, c, c, c]], 17, 是, epsilon_cycles_terminate_by_extensional_dedup)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-bounded-language","seed":202611186050,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"max_length":5,"domain":"Exact_typed_regular_expression","operation":"regex-bounded-language","semantic_template":"regex-bounded-language|{alphabet:[\"a\",\"b\",\"c\"],max_length:5,regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0051","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"symbol\",\"value\":\"a\"},\"word\":[]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {type:\"symbol\",value:\"a\"}, [], 否, [], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {type:\"symbol\",value:\"a\"}, [], 否, [], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186051,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"symbol","value":"a"},"word":[],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{type:\"symbol\",value:\"a\"},word:[]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0052","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"word\":[\"b\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [b], 否, [], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [b], 否, [], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186052,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"word":["b"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"},word:[\"b\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0053","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"word\":[\"c\",\"a\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [c, a], 否, [], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [c, a], 否, [], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186053,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},"word":["c","a"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"},word:[\"c\",\"a\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0054","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},\"word\":[\"a\",\"b\",\"c\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [a, b, c], 否, [], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [a, b, c], 否, [], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186054,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},"word":["a","b","c"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"},word:[\"a\",\"b\",\"c\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0055","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"word\":[\"b\",\"c\",\"a\",\"b\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [b, c, a, b], 否, [], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [b, c, a, b], 否, [], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186055,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"word":["b","c","a","b"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"},word:[\"b\",\"c\",\"a\",\"b\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0056","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"word\":[]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}, [], 是, [[]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}, [], 是, [[]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186056,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"symbol","value":"c"},{"type":"star","child":{"type":"symbol","value":"a"}}]},"word":[],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"},word:[]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0057","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"word\":[\"a\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, [a], 否, [[b]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, [a], 否, [[b]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186057,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"word":["a"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"},word:[\"a\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0058","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},\"word\":[\"b\",\"c\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}, [b, c], 否, [[c, c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}, [b, c], 否, [[c, c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186058,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"word":["b","c"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"},word:[\"b\",\"c\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0059","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"word\":[\"c\",\"a\",\"b\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}, [c, a, b], 否, [[a, a, a]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}, [c, a, b], 否, [[a, a, a]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186059,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"word":["c","a","b"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"},word:[\"c\",\"a\",\"b\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0060","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"word\":[\"a\",\"b\",\"c\",\"a\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, [a, b, c, a], 否, [[b, b, b, b]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}, [a, b, c, a], 否, [[b, b, b, b]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186060,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"word":["a","b","c","a"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"},word:[\"a\",\"b\",\"c\",\"a\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0061","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"word\":[]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{type:\"symbol\",value:\"b\"}],type:\"union\"}],type:\"union\"}, [], 是, [[]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{type:\"symbol\",value:\"b\"}],type:\"union\"}],type:\"union\"}, [], 是, [[]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186061,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"symbol","value":"b"},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"word":[],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{type:\"symbol\",value:\"b\"}],type:\"union\"}],type:\"union\"},word:[]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0062","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"word\":[\"c\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, [c], 否, [[a], [b]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, [c], 否, [[a], [b]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186062,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"word":["c"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"},word:[\"c\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0063","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},\"word\":[\"a\",\"b\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, [a, b], 否, [[b, b], [c, c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, [a, b], 否, [[b, b], [c, c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186063,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"word":["a","b"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"},word:[\"a\",\"b\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0064","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"word\":[\"b\",\"c\",\"a\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, [b, c, a], 否, [[a, a, a], [c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, [b, c, a], 否, [[a, a, a], [c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186064,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"word":["b","c","a"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"},word:[\"b\",\"c\",\"a\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0065","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"word\":[\"c\",\"a\",\"b\",\"c\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, [c, a, b, c], 否, [[a, a, a, a], [b, b, b, b]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}, [c, a, b, c], 否, [[a, a, a, a], [b, b, b, b]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186065,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"word":["c","a","b","c"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"},word:[\"c\",\"a\",\"b\",\"c\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0066","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"word\":[]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{type:\"symbol\",value:\"a\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [], 是, [[]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{type:\"symbol\",value:\"a\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [], 是, [[]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186066,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"symbol","value":"a"},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"word":[],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{type:\"symbol\",value:\"a\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0067","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"word\":[\"b\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [b], 是, [[a], [b], [c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [b], 是, [[a], [b], [c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186067,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"word":["b"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[\"b\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0068","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},\"word\":[\"c\",\"a\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [c, a], 否, [[a, a], [b, b], [c, c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [c, a], 否, [[a, a], [b, b], [c, c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186068,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"word":["c","a"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[\"c\",\"a\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0069","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"word\":[\"a\",\"b\",\"c\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [a, b, c], 否, [[a, a, a], [b, b, b], [c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [a, b, c], 否, [[a, a, a], [b, b, b], [c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186069,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"word":["a","b","c"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[\"a\",\"b\",\"c\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0070","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"word\":[\"b\",\"c\",\"a\",\"b\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [b, c, a, b], 否, [[a, a, a, a], [b, b, b, b], [c, c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [b, c, a, b], 否, [[a, a, a, a], [b, b, b, b], [c, c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186070,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"word":["b","c","a","b"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[\"b\",\"c\",\"a\",\"b\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0071","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"word\":[]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [], 是, [[]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [], 是, [[]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186071,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"symbol","value":"c"},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"word":[],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{type:\"symbol\",value:\"c\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0072","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"word\":[\"a\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [a], 是, [[a], [b], [c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [a], 是, [[a], [b], [c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186072,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"word":["a"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[\"a\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0073","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},\"word\":[\"b\",\"c\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [b, c], 否, [[a, a], [b, b], [c, c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [b, c], 否, [[a, a], [b, b], [c, c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186073,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},"word":["b","c"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[\"b\",\"c\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0074","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},\"word\":[\"c\",\"a\",\"b\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [c, a, b], 否, [[a, a, a], [b, b, b], [c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [c, a, b], 否, [[a, a, a], [b, b, b], [c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186074,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},"word":["c","a","b"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[\"c\",\"a\",\"b\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0075","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-word-membership；資料={\"alphabet\":[\"a\",\"b\",\"c\"],\"regex\":{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"union\",\"children\":[{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"c\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"a\"}}]},{\"type\":\"star\",\"child\":{\"type\":\"symbol\",\"value\":\"b\"}}]},\"word\":[\"a\",\"b\",\"c\",\"a\"]}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [a, b, c, a], 否, [[a, a, a, a], [b, b, b, b], [c, c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)","explanation_zh":"Wave6第十二層核對=([a, b, c], {children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}, [a, b, c, a], 否, [[a, a, a, a], [b, b, b, b], [c, c, c, c]], complete_membership_not_absence_from_an_insufficient_bound)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-word-membership","seed":202611186075,"parameters":{"alphabet":["a","b","c"],"regex":{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"union","children":[{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},{"type":"star","child":{"type":"symbol","value":"c"}}]},{"type":"star","child":{"type":"symbol","value":"a"}}]},{"type":"star","child":{"type":"symbol","value":"b"}}]},"word":["a","b","c","a"],"domain":"Exact_typed_regular_expression","operation":"regex-word-membership","semantic_template":"regex-word-membership|{alphabet:[\"a\",\"b\",\"c\"],regex:{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"a\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"c\"},type:\"star\"},{children:[{child:{type:\"symbol\",value:\"b\"},type:\"star\"},{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}],type:\"union\"}],type:\"union\"}],type:\"union\"}],type:\"union\"},word:[\"a\",\"b\",\"c\",\"a\"]}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0076","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"empty_vs_epsilon\",\"model\":{\"alphabet\":[]}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(empty_vs_epsilon, [], [], [[]], 否, empty_language_not_language_containing_empty_word)","explanation_zh":"Wave6第十二層核對=(empty_vs_epsilon, [], [], [[]], 否, empty_language_not_language_containing_empty_word)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186076,"parameters":{"mode":"empty_vs_epsilon","model":{"alphabet":[]},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"empty_vs_epsilon\",model:{alphabet:[]}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0077","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"wildcard_confusion\",\"model\":{\"alphabet\":[\"a\",\"b\"],\"token\":\"*\"}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(wildcard_confusion, [a, b], *, 否, shell_wildcard_is_not_a_core_regex_AST_node)","explanation_zh":"Wave6第十二層核對=(wildcard_confusion, [a, b], *, 否, shell_wildcard_is_not_a_core_regex_AST_node)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186077,"parameters":{"mode":"wildcard_confusion","model":{"alphabet":["a","b"],"token":"*"},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"wildcard_confusion\",model:{alphabet:[\"a\",\"b\"],token:\"*\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0078","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"wildcard_confusion\",\"model\":{\"alphabet\":[\"a\",\"b\"],\"token\":\"?\"}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(wildcard_confusion, [a, b], ?, 否, shell_wildcard_is_not_a_core_regex_AST_node)","explanation_zh":"Wave6第十二層核對=(wildcard_confusion, [a, b], ?, 否, shell_wildcard_is_not_a_core_regex_AST_node)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186078,"parameters":{"mode":"wildcard_confusion","model":{"alphabet":["a","b"],"token":"?"},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"wildcard_confusion\",model:{alphabet:[\"a\",\"b\"],token:\"?\"}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0079","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"a\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"}]}]},\"max_length\":1}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 1, [[]], [[]], 是, 2, [[]], [[], [a, a]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 1, [[]], [[]], 是, 2, [[]], [[], [a, a]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186079,"parameters":{"mode":"bounded_equality","model":{"alphabet":["a"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"a"}]}]},"max_length":1},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"a\"],left:{type:\"epsilon\"},max_length:1,right:{children:[{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0080","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"a\"}]},\"max_length\":2}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [[a, b]], [[b, a]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [[a, b]], [[b, a]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186080,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"a"}]},"max_length":2},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"},max_length:2,right:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0081","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"b\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"}]}]},\"max_length\":2}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 2, [[]], [[]], 是, 3, [[]], [[], [b, b, b]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 2, [[]], [[]], 是, 3, [[]], [[], [b, b, b]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186081,"parameters":{"mode":"bounded_equality","model":{"alphabet":["b"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"}]}]},"max_length":2},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"b\"],left:{type:\"epsilon\"},max_length:2,right:{children:[{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0082","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"max_length\":3}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [[b, b, c]], [[c, b, b]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [[b, b, c]], [[c, b, b]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186082,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"}]},"max_length":3},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"},max_length:3,right:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0083","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"c\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"}]}]},\"max_length\":3}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 3, [[]], [[]], 是, 4, [[]], [[], [c, c, c, c]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 3, [[]], [[]], 是, 4, [[]], [[], [c, c, c, c]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":1,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186083,"parameters":{"mode":"bounded_equality","model":{"alphabet":["c"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"}]}]},"max_length":3},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"c\"],left:{type:\"epsilon\"},max_length:3,right:{children:[{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0084","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"max_length\":4}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [[c, c, c, a]], [[a, c, c, c]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [[c, c, c, a]], [[a, c, c, c]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186084,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"}]},"max_length":4},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"},max_length:4,right:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0085","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"a\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"}]}]},\"max_length\":4}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 4, [[]], [[]], 是, 5, [[]], [[], [a, a, a, a, a]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 4, [[]], [[]], 是, 5, [[]], [[], [a, a, a, a, a]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186085,"parameters":{"mode":"bounded_equality","model":{"alphabet":["a"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"}]}]},"max_length":4},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"a\"],left:{type:\"epsilon\"},max_length:4,right:{children:[{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0086","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"}]},\"max_length\":5}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [[a, a, a, a, b]], [[b, a, a, a, a]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [[a, a, a, a, b]], [[b, a, a, a, a]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186086,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"}]},"max_length":5},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"},max_length:5,right:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0087","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"b\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"}]}]},\"max_length\":5}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 5, [[]], [[]], 是, 6, [[]], [[], [b, b, b, b, b, b]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 5, [[]], [[]], 是, 6, [[]], [[], [b, b, b, b, b, b]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186087,"parameters":{"mode":"bounded_equality","model":{"alphabet":["b"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"}]}]},"max_length":5},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"b\"],left:{type:\"epsilon\"},max_length:5,right:{children:[{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0088","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"max_length\":2}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [[b, c]], [[c, b]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [[b, c]], [[c, b]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186088,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"b"}]},"max_length":2},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"},max_length:2,right:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0089","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"c\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"}]}]},\"max_length\":6}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 6, [[]], [[]], 是, 7, [[]], [[], [c, c, c, c, c, c, c]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 6, [[]], [[]], 是, 7, [[]], [[], [c, c, c, c, c, c, c]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186089,"parameters":{"mode":"bounded_equality","model":{"alphabet":["c"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"}]}]},"max_length":6},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"c\"],left:{type:\"epsilon\"},max_length:6,right:{children:[{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0090","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"max_length\":3}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [[c, c, a]], [[a, c, c]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [[c, c, a]], [[a, c, c]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186090,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"}]},"max_length":3},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"},max_length:3,right:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0091","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"a\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"}]}]},\"max_length\":7}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 7, [[]], [[]], 是, 8, [[]], [[], [a, a, a, a, a, a, a, a]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 7, [[]], [[]], 是, 8, [[]], [[], [a, a, a, a, a, a, a, a]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186091,"parameters":{"mode":"bounded_equality","model":{"alphabet":["a"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"}]}]},"max_length":7},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"a\"],left:{type:\"epsilon\"},max_length:7,right:{children:[{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0092","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"}]},\"max_length\":4}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [[a, a, a, b]], [[b, a, a, a]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [[a, a, a, b]], [[b, a, a, a]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":2,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186092,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"}]},"max_length":4},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"},max_length:4,right:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0093","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"b\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"}]}]},\"max_length\":1}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 1, [[]], [[]], 是, 2, [[]], [[], [b, b]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 1, [[]], [[]], 是, 2, [[]], [[], [b, b]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186093,"parameters":{"mode":"bounded_equality","model":{"alphabet":["b"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"b"}]}]},"max_length":1},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"b\"],left:{type:\"epsilon\"},max_length:1,right:{children:[{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0094","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"max_length\":5}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [[b, b, b, b, c]], [[c, b, b, b, b]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [[b, b, b, b, c]], [[c, b, b, b, b]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186094,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"}]},"max_length":5},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"},max_length:5,right:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0095","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"c\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"c\"}]}]},\"max_length\":2}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 2, [[]], [[]], 是, 3, [[]], [[], [c, c, c]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 2, [[]], [[]], 是, 3, [[]], [[], [c, c, c]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186095,"parameters":{"mode":"bounded_equality","model":{"alphabet":["c"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"c"},{"type":"symbol","value":"c"}]}]},"max_length":2},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"c\"],left:{type:\"epsilon\"},max_length:2,right:{children:[{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0096","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"a\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"max_length\":2}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [[c, a]], [[a, c]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, [[c, a]], [[a, c]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186096,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"a"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"c"}]},"max_length":2},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"},max_length:2,right:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0097","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"a\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"}]}]},\"max_length\":3}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 3, [[]], [[]], 是, 4, [[]], [[], [a, a, a, a]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 3, [[]], [[]], 是, 4, [[]], [[], [a, a, a, a]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186097,"parameters":{"mode":"bounded_equality","model":{"alphabet":["a"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"}]}]},"max_length":3},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"a\"],left:{type:\"epsilon\"},max_length:3,right:{children:[{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0098","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"a\"},{\"type\":\"symbol\",\"value\":\"a\"}]},\"max_length\":3}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [[a, a, b]], [[b, a, a]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}, [[a, a, b]], [[b, a, a]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186098,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"a"},{"type":"symbol","value":"a"},{"type":"symbol","value":"b"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"a"},{"type":"symbol","value":"a"}]},"max_length":3},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"},max_length:3,right:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"a\"},{type:\"symbol\",value:\"a\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0099","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"bounded_equality\",\"model\":{\"alphabet\":[\"b\"],\"left\":{\"type\":\"epsilon\"},\"right\":{\"type\":\"union\",\"children\":[{\"type\":\"epsilon\"},{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"}]}]},\"max_length\":4}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(bounded_equality, 4, [[]], [[]], 是, 5, [[]], [[], [b, b, b, b, b]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)","explanation_zh":"Wave6第十二層核對=(bounded_equality, 4, [[]], [[]], 是, 5, [[]], [[], [b, b, b, b, b]], 是, 否, bounded_language_equality_does_not_prove_regex_equivalence)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186099,"parameters":{"mode":"bounded_equality","model":{"alphabet":["b"],"left":{"type":"epsilon"},"right":{"type":"union","children":[{"type":"epsilon"},{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"}]}]},"max_length":4},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"bounded_equality\",model:{alphabet:[\"b\"],left:{type:\"epsilon\"},max_length:4,right:{children:[{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"},{type:\"epsilon\"}],type:\"union\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}
{"schema_version":"ocme-question-v0.1","id":"q-20261015-advance-20261118-r06-regular-expression-0100","batch_id":"batch-20261015-advance-20261118-r06-regular-expression-foundations","language":"zh-Hant","source_mko_ids":["mko-regular-expression"],"title_zh":"正規表示式","stem_zh":"typed regex AST、finite alphabet與完整word semantics責任。操作=regex-boundary；資料={\"mode\":\"concat_order\",\"model\":{\"alphabet\":[\"a\",\"b\",\"c\"],\"left\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"c\"}]},\"right\":{\"type\":\"concat\",\"children\":[{\"type\":\"symbol\",\"value\":\"c\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"},{\"type\":\"symbol\",\"value\":\"b\"}]},\"max_length\":4}}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。","answer":{"kind":"expression","value":"(concat_order, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [[b, b, b, c]], [[c, b, b, b]], 否, 否, concatenation_order_is_semantic)","explanation_zh":"Wave6第十二層核對=(concat_order, {children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"}, {children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}, [[b, b, b, c]], [[c, b, b, b]], 否, 否, concatenation_order_is_semantic)；依完整明示資料獨立重算；empty language、epsilon、union、ordered concat與star嚴格區分並處理epsilon cycle；bounded enumeration不證unbounded equivalence；shell wildcard不是核心AST。"},"difficulty":{"band":"undergraduate_core","level":3,"skills":["正規表示式"]},"variant":{"family_id":"qf-mod49-regex-boundary","seed":202611186100,"parameters":{"mode":"concat_order","model":{"alphabet":["a","b","c"],"left":{"type":"concat","children":[{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"c"}]},"right":{"type":"concat","children":[{"type":"symbol","value":"c"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"},{"type":"symbol","value":"b"}]},"max_length":4},"domain":"Exact_typed_regular_expression","operation":"regex-boundary","semantic_template":"regex-boundary|{mode:\"concat_order\",model:{alphabet:[\"a\",\"b\",\"c\"],left:{children:[{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"c\"}],type:\"concat\"},max_length:4,right:{children:[{type:\"symbol\",value:\"c\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"},{type:\"symbol\",value:\"b\"}],type:\"concat\"}}}"}},"verification":{"status":"candidate","checks":["producer_exact_finite_or_symbolic_model","producer_source_snapshot_check","producer_substantive_template_deduplication","producer_json_schema"],"warning_zh":"候選須主端重算；不構成一般limit theorem、coverage、number-theory或language theorem證明、人工審定、Lean或Evidence。"},"provenance":{"generator_role":"question_producer","generator_model":"model_unknown","generated_at":"2026-10-15","contract_version":"ocme-question-factory-v0.1"}}