{
  "schema_version": "ocme-reviewed-question-reader-v1",
  "question_id": "q-20261014-advance-20261101-r07-finite-automaton-0050",
  "pilot_number": "R0031-16300",
  "number": 16300,
  "family_id": "qf-mod32-dfa-word-trace",
  "title": {
    "zh-Hant": "第 16300 題：確定有限自動機",
    "en": "Question 16300: Retain the Initial State and Every Ordered Symbol Transition"
  },
  "original_question": {
    "schema_version": "ocme-question-v0.1",
    "id": "q-20261014-advance-20261101-r07-finite-automaton-0050",
    "batch_id": "batch-20261014-advance-20261101-r07-finite-automaton-foundations",
    "language": "zh-Hant",
    "source_mko_ids": [
      "mko-finite-automaton"
    ],
    "title_zh": "確定有限自動機",
    "stem_zh": "完整有限DFA總轉移表與有序有限word。操作=dfa-word-trace；資料={\"state_count\":3,\"alphabet_count\":2,\"transition\":[[0,2],[2,0],[0,0]],\"start\":0,\"accepting\":[0],\"word\":[0,0,0,1,1]}。請依 [word,state_trace,final_state] 欄序回答。",
    "answer": {
      "kind": "expression",
      "value": "([0, 0, 0, 1, 1], [0, 0, 0, 0, 2, 0], 0)",
      "explanation_zh": "Wave5根節點核對=([0, 0, 0, 1, 1], [0, 0, 0, 0, 2, 0], 0)；依完整明示資料重算；唯一初始狀態、接受子集且逐符號追蹤；空字留在初始狀態；不引入NFA或epsilon transition；有限trace不證語言等價或regularity。"
    },
    "difficulty": {
      "band": "undergraduate_core",
      "level": 3,
      "skills": [
        "確定有限自動機"
      ]
    },
    "variant": {
      "family_id": "qf-mod32-dfa-word-trace",
      "seed": 202611017050,
      "parameters": {
        "state_count": 3,
        "alphabet_count": 2,
        "transition": [
          [
            0,
            2
          ],
          [
            2,
            0
          ],
          [
            0,
            0
          ]
        ],
        "start": 0,
        "accepting": [
          0
        ],
        "word": [
          0,
          0,
          0,
          1,
          1
        ],
        "domain": "Complete_deterministic_finite_automaton",
        "operation": "dfa-word-trace",
        "semantic_template": "qf-mod32-dfa-word-trace/{\"accepting\":[0],\"alphabet_count\":2,\"start\":0,\"state_count\":3,\"transition\":[[0,2],[2,0],[0,0]],\"word\":[0,0,0,1,1]}"
      }
    },
    "verification": {
      "status": "candidate",
      "checks": [
        "producer_exact_finite_or_symbolic_model",
        "producer_source_snapshot_check",
        "producer_substantive_template_deduplication",
        "producer_json_schema"
      ],
      "warning_zh": "候選須由主端獨立重算；不構成人工審定、一般compactness／a.s.定理／maximum matching／語言等價、Lean或形式Evidence。"
    },
    "provenance": {
      "generator_role": "question_producer",
      "generator_model": "model_unknown",
      "generated_at": "2026-10-14",
      "contract_version": "ocme-question-factory-v0.1"
    }
  },
  "original_english_edition": {
    "schema_version": "ocme-question-localization-v0.1",
    "question_id": "q-20261014-advance-20261101-r07-finite-automaton-0050",
    "batch_id": "batch-20261014-advance-20261101-r07-finite-automaton-foundations",
    "locale": "en",
    "translation_state": "ai_candidate",
    "source": {
      "question_sha256": "3c4ea320ca5a00748c60910e8bd842a2cb5f766328d395bccab7711231167eaa",
      "family_id": "qf-mod32-dfa-word-trace",
      "seed": 202611017050,
      "semantic_template": "qf-mod32-dfa-word-trace/{\"accepting\":[0],\"alphabet_count\":2,\"start\":0,\"state_count\":3,\"transition\":[[0,2],[2,0],[0,0]],\"word\":[0,0,0,1,1]}"
    },
    "fields": {
      "title": "Retain the Initial State and Every Ordered Symbol Transition",
      "stem": "Use a complete deterministic finite automaton with states=Fin(3)={0,…,2}, alphabet=Fin(2)={0,…,1}, total row-state/column-symbol transition=[[0, 2], [2, 0], [0, 0]], unique start=0, and increasing accepting subset=[0]. Every transition output lies in this same state set. There are no epsilon transitions or nondeterministic branches. Read a finite word in symbol order; the empty word leaves the automaton at its start state. Word=[0, 0, 0, 1, 1]. Give (word,state_trace,final_state), with state_trace length equal to word length plus one.",
      "answer": {
        "kind": "expression",
        "value": "([0, 0, 0, 1, 1], [0, 0, 0, 0, 2, 0], 0)",
        "explanation": "Start at the specified state and apply one table lookup per symbol. Include the initial state even for an empty word. A trace is not a language-equivalence proof. The exact result, retaining the requested order, is ([0, 0, 0, 1, 1], [0, 0, 0, 0, 2, 0], 0)."
      },
      "skills": [
        "Retain the Initial State and Every Ordered Symbol Transition"
      ],
      "verification_warning": "This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."
    }
  },
  "givens": [
    {
      "id": "G001",
      "text": {
        "zh-Hant": "完整有限DFA總轉移表與有序有限word。操作=dfa-word-trace；資料={\"state_count\":3,\"alphabet_count\":2,\"transition\":[[0,2],[2,0],[0,0]],\"start\":0,\"accepting\":[0],\"word\":[0,0,0,1,1]}。請依 [word,state_trace,final_state] 欄序回答。",
        "en": "Use a complete deterministic finite automaton with states=Fin(3)={0,…,2}, alphabet=Fin(2)={0,…,1}, total row-state/column-symbol transition=[[0, 2], [2, 0], [0, 0]], unique start=0, and increasing accepting subset=[0]. Every transition output lies in this same state set. There are no epsilon transitions or nondeterministic branches. Read a finite word in symbol order; the empty word leaves the automaton at its start state. Word=[0, 0, 0, 1, 1]. Give (word,state_trace,final_state), with state_trace length equal to word length plus one."
      }
    }
  ],
  "steps": [
    {
      "id": "S001",
      "uses": [
        "G001"
      ],
      "before": "DFA total state-symbol cell count := mul(3, 2)",
      "after": "DFA total state-symbol cell count = 6",
      "relation": "calculation",
      "rule_id": "exact_rational_arithmetic",
      "conditions": [],
      "explanation": {
        "zh-Hant": "依原始欄位角色與已核中間量精確計算，保留分母、正負號、索引及完整載體。",
        "en": "Compute exactly from original field roles and established intermediates,retaining denominators,signs,indices and the complete carrier."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "以精確有理數重算 DFA total state-symbol cell count，不以小數近似替代。",
          "en": "Recompute DFA total state-symbol cell count with exact rational arithmetic, not rounded decimals."
        }
      },
      "arithmetic": {
        "operation": "mul",
        "inputs": [
          "3",
          "2"
        ],
        "output": "6",
        "label": "DFA total state-symbol cell count"
      }
    },
    {
      "id": "S002",
      "uses": [
        "G001",
        "S001"
      ],
      "before": "same complete states Fin(3);alphabet Fin(2);row-state column-symbol table=[[0, 2], [2, 0], [0, 0]]",
      "after": "single original start=0;canonical accepting subset=[0];required transition cells=6",
      "relation": "implies",
      "rule_id": "dfa_complete_typed_carriers_start_and_accepting_subset",
      "conditions": [],
      "explanation": {
        "zh-Hant": "先固定狀態、字母、唯一初始點與接受子集；表的每列對應狀態、每欄對應符號，輸出仍須在同一狀態集。不是只核本字用到的幾格。",
        "en": "Fix states,alphabet,one start state and accepting subset.Rows index states and columns index symbols;every output must remain in the same state set.Check the whole table,not just cells visited by this word."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S003",
      "uses": [
        "G001",
        "S002"
      ],
      "before": "original transition cell state=0;symbol=0;complete original row=[0, 2]",
      "after": "single same-carrier next state=0",
      "relation": "implies",
      "rule_id": "dfa_every_state_symbol_total_deterministic_cell",
      "conditions": [],
      "explanation": {
        "zh-Hant": "每個(state,symbol)都恰有一個合法輸出，沒有缺格、分支或epsilon轉移；因此完整typed表才給總且確定的DFA資格。",
        "en": "Each(state,symbol)has exactly one valid output,with no missing cell,branch or epsilon transition.This complete typed table supplies total deterministic DFA qualification."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S004",
      "uses": [
        "G001",
        "S003"
      ],
      "before": "original transition cell state=0;symbol=1;complete original row=[0, 2]",
      "after": "single same-carrier next state=2",
      "relation": "implies",
      "rule_id": "dfa_every_state_symbol_total_deterministic_cell",
      "conditions": [],
      "explanation": {
        "zh-Hant": "每個(state,symbol)都恰有一個合法輸出，沒有缺格、分支或epsilon轉移；因此完整typed表才給總且確定的DFA資格。",
        "en": "Each(state,symbol)has exactly one valid output,with no missing cell,branch or epsilon transition.This complete typed table supplies total deterministic DFA qualification."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S005",
      "uses": [
        "G001",
        "S004"
      ],
      "before": "original transition cell state=1;symbol=0;complete original row=[2, 0]",
      "after": "single same-carrier next state=2",
      "relation": "implies",
      "rule_id": "dfa_every_state_symbol_total_deterministic_cell",
      "conditions": [],
      "explanation": {
        "zh-Hant": "每個(state,symbol)都恰有一個合法輸出，沒有缺格、分支或epsilon轉移；因此完整typed表才給總且確定的DFA資格。",
        "en": "Each(state,symbol)has exactly one valid output,with no missing cell,branch or epsilon transition.This complete typed table supplies total deterministic DFA qualification."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S006",
      "uses": [
        "G001",
        "S005"
      ],
      "before": "original transition cell state=1;symbol=1;complete original row=[2, 0]",
      "after": "single same-carrier next state=0",
      "relation": "implies",
      "rule_id": "dfa_every_state_symbol_total_deterministic_cell",
      "conditions": [],
      "explanation": {
        "zh-Hant": "每個(state,symbol)都恰有一個合法輸出，沒有缺格、分支或epsilon轉移；因此完整typed表才給總且確定的DFA資格。",
        "en": "Each(state,symbol)has exactly one valid output,with no missing cell,branch or epsilon transition.This complete typed table supplies total deterministic DFA qualification."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S007",
      "uses": [
        "G001",
        "S006"
      ],
      "before": "original transition cell state=2;symbol=0;complete original row=[0, 0]",
      "after": "single same-carrier next state=0",
      "relation": "implies",
      "rule_id": "dfa_every_state_symbol_total_deterministic_cell",
      "conditions": [],
      "explanation": {
        "zh-Hant": "每個(state,symbol)都恰有一個合法輸出，沒有缺格、分支或epsilon轉移；因此完整typed表才給總且確定的DFA資格。",
        "en": "Each(state,symbol)has exactly one valid output,with no missing cell,branch or epsilon transition.This complete typed table supplies total deterministic DFA qualification."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S008",
      "uses": [
        "G001",
        "S007"
      ],
      "before": "original transition cell state=2;symbol=1;complete original row=[0, 0]",
      "after": "single same-carrier next state=0",
      "relation": "implies",
      "rule_id": "dfa_every_state_symbol_total_deterministic_cell",
      "conditions": [],
      "explanation": {
        "zh-Hant": "每個(state,symbol)都恰有一個合法輸出，沒有缺格、分支或epsilon轉移；因此完整typed表才給總且確定的DFA資格。",
        "en": "Each(state,symbol)has exactly one valid output,with no missing cell,branch or epsilon transition.This complete typed table supplies total deterministic DFA qualification."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S009",
      "uses": [
        "G001",
        "S008"
      ],
      "before": "original ordered word=[0, 0, 0, 1, 1];original start=0",
      "after": "initial trace before consuming any symbol=[0]",
      "relation": "implies",
      "rule_id": "dfa_initial_state_before_first_symbol_including_empty_word",
      "conditions": [],
      "explanation": {
        "zh-Hant": "trace先放初始狀態；空字不消耗符號、不做假轉移，最後就是start。",
        "en": "Place the initial state in the trace before reading symbols.The empty word consumes nothing and performs no invented transition;its final state is the start."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S010",
      "uses": [
        "G001",
        "S009"
      ],
      "before": "word position=0;original symbol=0;current state=0;original state row=[0, 2]",
      "after": "lookup column=0;next state=0;prefix trace=[0, 0]",
      "relation": "implies",
      "rule_id": "dfa_each_original_symbol_one_ordered_table_lookup",
      "conditions": [],
      "explanation": {
        "zh-Hant": "按原字順序一次查一欄，不反轉字或交換state/symbol角色；每消耗一符號恰加一狀態，所以總trace長度為字長加1。",
        "en": "Read the original symbol order with one column lookup per symbol.Do not reverse the word or swap state/symbol roles.Each consumed symbol adds one state,so trace length is word length plus1."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S011",
      "uses": [
        "G001",
        "S010"
      ],
      "before": "word position=1;original symbol=0;current state=0;original state row=[0, 2]",
      "after": "lookup column=0;next state=0;prefix trace=[0, 0, 0]",
      "relation": "implies",
      "rule_id": "dfa_each_original_symbol_one_ordered_table_lookup",
      "conditions": [],
      "explanation": {
        "zh-Hant": "按原字順序一次查一欄，不反轉字或交換state/symbol角色；每消耗一符號恰加一狀態，所以總trace長度為字長加1。",
        "en": "Read the original symbol order with one column lookup per symbol.Do not reverse the word or swap state/symbol roles.Each consumed symbol adds one state,so trace length is word length plus1."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S012",
      "uses": [
        "G001",
        "S011"
      ],
      "before": "word position=2;original symbol=0;current state=0;original state row=[0, 2]",
      "after": "lookup column=0;next state=0;prefix trace=[0, 0, 0, 0]",
      "relation": "implies",
      "rule_id": "dfa_each_original_symbol_one_ordered_table_lookup",
      "conditions": [],
      "explanation": {
        "zh-Hant": "按原字順序一次查一欄，不反轉字或交換state/symbol角色；每消耗一符號恰加一狀態，所以總trace長度為字長加1。",
        "en": "Read the original symbol order with one column lookup per symbol.Do not reverse the word or swap state/symbol roles.Each consumed symbol adds one state,so trace length is word length plus1."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S013",
      "uses": [
        "G001",
        "S012"
      ],
      "before": "word position=3;original symbol=1;current state=0;original state row=[0, 2]",
      "after": "lookup column=1;next state=2;prefix trace=[0, 0, 0, 0, 2]",
      "relation": "implies",
      "rule_id": "dfa_each_original_symbol_one_ordered_table_lookup",
      "conditions": [],
      "explanation": {
        "zh-Hant": "按原字順序一次查一欄，不反轉字或交換state/symbol角色；每消耗一符號恰加一狀態，所以總trace長度為字長加1。",
        "en": "Read the original symbol order with one column lookup per symbol.Do not reverse the word or swap state/symbol roles.Each consumed symbol adds one state,so trace length is word length plus1."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    },
    {
      "id": "S014",
      "uses": [
        "G001",
        "S013"
      ],
      "before": "word position=4;original symbol=1;current state=2;original state row=[0, 0]",
      "after": "lookup column=1;next state=0;prefix trace=[0, 0, 0, 0, 2, 0]",
      "relation": "implies",
      "rule_id": "dfa_each_original_symbol_one_ordered_table_lookup",
      "conditions": [],
      "explanation": {
        "zh-Hant": "按原字順序一次查一欄，不反轉字或交換state/symbol角色；每消耗一符號恰加一狀態，所以總trace長度為字長加1。",
        "en": "Read the original symbol order with one column lookup per symbol.Do not reverse the word or swap state/symbol roles.Each consumed symbol adds one state,so trace length is word length plus1."
      },
      "reverse_audit": {
        "kind": "premise_and_result_audit",
        "explanation": {
          "zh-Hant": "回到原始資料與本步條件核對，不把單向推論誤稱等價。",
          "en": "Check against the original data and this step's premises; a one-way implication is not an equivalence."
        }
      },
      "arithmetic": null
    }
  ],
  "math_model": {
    "result": [
      [
        0,
        0,
        0,
        1,
        1
      ],
      [
        0,
        0,
        0,
        0,
        2,
        0
      ],
      0
    ]
  },
  "conclusion": {
    "canonical_value": "([0, 0, 0, 1, 1], [0, 0, 0, 0, 2, 0], 0)",
    "explanation": {
      "zh-Hant": "依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。",
      "en": "The full substitutions and premise checks give the original answer; source identity,format and status are unchanged."
    }
  },
  "definition_note": {
    "zh-Hant": "沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。",
    "en": "Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate."
  },
  "source": {
    "input_commit": "0f7be61e2c22317a4075561dc822c87d881a50db",
    "question_binding": {
      "batch_id": "batch-20261014-advance-20261101-r07-finite-automaton-foundations",
      "batch_path": "public/data/questions/batches/batch-20261014-advance-20261101-r07-finite-automaton-foundations/questions.jsonl",
      "batch_sha256": "cc361a5cbdded68d55459b0a925afa736e4bb0954cd0ef8f46578fc2479e26ed",
      "original_line": 50,
      "original_line_sha256": "fe2e5b5bf546ea2118a8880795c7aa0153fe45e36fb83f2815832a6c11cf04a8",
      "question_compact_sha256": "3c4ea320ca5a00748c60910e8bd842a2cb5f766328d395bccab7711231167eaa",
      "english_row_compact_sha256": "c3ea18d8a8c94aff2034cf5190e267a22f49638cd936643293441a487434d962",
      "english_manifest_path": "public/data/i18n/editions/batch-20261014-advance-20261101-r07-finite-automaton-foundations.en.json",
      "english_rows_path": "public/data/i18n/questions/batch-20261014-advance-20261101-r07-finite-automaton-foundations.en.jsonl"
    },
    "mko_bindings": {
      "mko-finite-automaton": {
        "sha256": "6bae5f7a3af28d2877efade8771bee1a1adcddd1d88f055671859e37e3d0c0c8",
        "english_sha256": "b092929e0950241d81acaec1a1ad62c6c520d910717ea23c2581deea8ae52abe",
        "original_path": "public/data/mko/finite-automaton.json",
        "english_path": "public/data/i18n/editions/mko-finite-automaton.en.json"
      }
    },
    "selected_manifest_sha256": "5233edba9654a6cffd8b6b2d83c932f82ded15f9c0b7c733bd049943e672acff",
    "selected_part_sha256": "633793a5f242dece0a240bd92f77a33c587d12463e0beaedd8f70a14c70cf9e7",
    "original_candidate_sha256": "fba045db3f5aafdfeedad0155579cfe215b84adb5e69cee4e263c95c3f10e065",
    "original_candidate_line_sha256": "fba045db3f5aafdfeedad0155579cfe215b84adb5e69cee4e263c95c3f10e065"
  },
  "historical_source_state": {
    "review_state": {
      "derivation": "candidate_authored_and_locally_checked",
      "source_question_state": "candidate",
      "independent_AI_or_human_review": "NOT_PERFORMED",
      "formalization": "not_formalized",
      "Lean": "NOT_RUN"
    },
    "scope_note": {
      "zh-Hant": "來源綁定教學推導候選；精確核對不等於獨立AI／人工審查或一般形式證明。原題、答案、MKO、公式、AST與歷史不變。",
      "en": "Source-bound pedagogical derivation candidate.Exact checking is not independent AI/human review or general formal proof.Original questions,answers,MKOs,formulas,ASTs and history remain unchanged."
    },
    "label": "Frozen producer metadata; current per-question review is separate below."
  },
  "revision": {
    "id": "review-20261026-007-p32",
    "review_date": "2026-10-26",
    "owner_authorized_reader_publication": true,
    "scope": "One hundred sixty family prototypes and their mathematical/bilingual reasoning variants, stems, boundary statements and every distinct explanation shape were reviewed in a context independent of the producer; parameter substitutions, source bindings, full math models, both answer strings and every arithmetic step were independently reconstructed per question from the original parameters only, with negative controls. This grouped method does not claim a separate literal AI reading of every repeated sentence or an extra AI voter.",
    "review_receipts": {
      "semantic_review_sha256": "55bb21783e2125ecf1e67e42f83fd25bec0ccd493f911f4bb937a5e9d6f9369a",
      "question_first_witness_sha256": "754ddf2a6039c5ef4aae78a538c6e9a1e9a58d4825aee194e869a27b8a4c95bb"
    },
    "status": "second_context_reviewed",
    "mathematical_semantics": true,
    "bilingual_semantics": true,
    "steps_reviewed": 14,
    "method": "family_template_semantic_review_plus_independent_per_instance_reconstruction",
    "exact_question_first_check": {
      "model_sha256": "9c4c04309a37aa4d87b0e2a7641ed39a0c3e3e3fd9c5abd505703f64b630a5a9",
      "arithmetic_steps": 1
    },
    "uses_answer_as_premise": false,
    "human_review": "NOT_PERFORMED",
    "formalization": "not_formalized",
    "Lean": "NOT_RUN",
    "Canonical_truth_promotion": false,
    "authority": "Owner-authorized reviewed reader publication; original question/candidate states remain historical and unchanged."
  }
}