Turing機判定模型基礎 · 脈衝 R05
本批已通過 Schema、去重、來源快照與獨立答案重算；仍未標記為人工審定。
本題庫已有對應的中英逐步詳解。原題的 candidate 與英文 ai_candidate 狀態保留；AI 覆核、有限計算與 Lean 形式證明分開標示。
batch-20261015-advance-20261113-r05-turing-machine-decision-model-foundations · 2026-10-15 · 100 題
欄序為來源綁定的呈現補充；原始 JSONL 與數學答案不變。
欄序與來源綁定資料
1. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q00","q10","qa0","qr0"],"input_alphabet":["00"],"tape_alphabet":["00","X0","_0"],"blank":"_0","start_state":"q00","accept_state":"qa0","reject_state":"qr0","transitions":[["q00","00","q10","X0","R"],["q00","_0","qr0","_0","S"],["q10","_0","qa0","_0","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q00, q10, qa0, qr0], [00], [00, X0, _0], _0, q00, qa0, qr0, [[q00, _0, qr0, _0, S], [q00, 00, q10, X0, R], [q10, _0, qa0, _0, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q00, q10, qa0, qr0], [00], [00, X0, _0], _0, q00, qa0, qr0, [[q00, _0, qr0, _0, S], [q00, 00, q10, X0, R], [q10, _0, qa0, _0, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
2. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q01","q11","qa1","qr1"],"input_alphabet":["01"],"tape_alphabet":["01","X1","_1"],"blank":"_1","start_state":"q01","accept_state":"qa1","reject_state":"qr1","transitions":[["q01","01","q11","X1","R"],["q01","_1","qr1","_1","S"],["q11","_1","qa1","_1","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q01, q11, qa1, qr1], [01], [01, X1, _1], _1, q01, qa1, qr1, [[q01, _1, qr1, _1, S], [q01, 01, q11, X1, R], [q11, _1, qa1, _1, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q01, q11, qa1, qr1], [01], [01, X1, _1], _1, q01, qa1, qr1, [[q01, _1, qr1, _1, S], [q01, 01, q11, X1, R], [q11, _1, qa1, _1, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
3. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q02","q12","qa2","qr2"],"input_alphabet":["02"],"tape_alphabet":["02","X2","_2"],"blank":"_2","start_state":"q02","accept_state":"qa2","reject_state":"qr2","transitions":[["q02","02","q12","X2","R"],["q02","_2","qr2","_2","S"],["q12","_2","qa2","_2","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q02, q12, qa2, qr2], [02], [02, X2, _2], _2, q02, qa2, qr2, [[q02, _2, qr2, _2, S], [q02, 02, q12, X2, R], [q12, _2, qa2, _2, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q02, q12, qa2, qr2], [02], [02, X2, _2], _2, q02, qa2, qr2, [[q02, _2, qr2, _2, S], [q02, 02, q12, X2, R], [q12, _2, qa2, _2, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
4. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q03","q13","qa3","qr3"],"input_alphabet":["03"],"tape_alphabet":["03","X3","_3"],"blank":"_3","start_state":"q03","accept_state":"qa3","reject_state":"qr3","transitions":[["q03","03","q13","X3","R"],["q03","_3","qr3","_3","S"],["q13","_3","qa3","_3","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q03, q13, qa3, qr3], [03], [03, X3, _3], _3, q03, qa3, qr3, [[q03, _3, qr3, _3, S], [q03, 03, q13, X3, R], [q13, _3, qa3, _3, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q03, q13, qa3, qr3], [03], [03, X3, _3], _3, q03, qa3, qr3, [[q03, _3, qr3, _3, S], [q03, 03, q13, X3, R], [q13, _3, qa3, _3, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
5. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q04","q14","qa4","qr4"],"input_alphabet":["04"],"tape_alphabet":["04","X4","_4"],"blank":"_4","start_state":"q04","accept_state":"qa4","reject_state":"qr4","transitions":[["q04","04","q14","X4","R"],["q04","_4","qr4","_4","S"],["q14","_4","qa4","_4","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q04, q14, qa4, qr4], [04], [04, X4, _4], _4, q04, qa4, qr4, [[q04, _4, qr4, _4, S], [q04, 04, q14, X4, R], [q14, _4, qa4, _4, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q04, q14, qa4, qr4], [04], [04, X4, _4], _4, q04, qa4, qr4, [[q04, _4, qr4, _4, S], [q04, 04, q14, X4, R], [q14, _4, qa4, _4, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
6. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q05","q15","qa5","qr5"],"input_alphabet":["05"],"tape_alphabet":["05","X5","_5"],"blank":"_5","start_state":"q05","accept_state":"qa5","reject_state":"qr5","transitions":[["q05","05","q15","X5","R"],["q05","_5","qr5","_5","S"],["q15","_5","qa5","_5","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q05, q15, qa5, qr5], [05], [05, X5, _5], _5, q05, qa5, qr5, [[q05, _5, qr5, _5, S], [q05, 05, q15, X5, R], [q15, _5, qa5, _5, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q05, q15, qa5, qr5], [05], [05, X5, _5], _5, q05, qa5, qr5, [[q05, _5, qr5, _5, S], [q05, 05, q15, X5, R], [q15, _5, qa5, _5, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
7. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q06","q16","qa6","qr6"],"input_alphabet":["06"],"tape_alphabet":["06","X6","_6"],"blank":"_6","start_state":"q06","accept_state":"qa6","reject_state":"qr6","transitions":[["q06","06","q16","X6","R"],["q06","_6","qr6","_6","S"],["q16","_6","qa6","_6","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q06, q16, qa6, qr6], [06], [06, X6, _6], _6, q06, qa6, qr6, [[q06, _6, qr6, _6, S], [q06, 06, q16, X6, R], [q16, _6, qa6, _6, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q06, q16, qa6, qr6], [06], [06, X6, _6], _6, q06, qa6, qr6, [[q06, _6, qr6, _6, S], [q06, 06, q16, X6, R], [q16, _6, qa6, _6, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
8. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q07","q17","qa7","qr7"],"input_alphabet":["07"],"tape_alphabet":["07","X7","_7"],"blank":"_7","start_state":"q07","accept_state":"qa7","reject_state":"qr7","transitions":[["q07","07","q17","X7","R"],["q07","_7","qr7","_7","S"],["q17","_7","qa7","_7","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q07, q17, qa7, qr7], [07], [07, X7, _7], _7, q07, qa7, qr7, [[q07, _7, qr7, _7, S], [q07, 07, q17, X7, R], [q17, _7, qa7, _7, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q07, q17, qa7, qr7], [07], [07, X7, _7], _7, q07, qa7, qr7, [[q07, _7, qr7, _7, S], [q07, 07, q17, X7, R], [q17, _7, qa7, _7, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
9. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q08","q18","qa8","qr8"],"input_alphabet":["08"],"tape_alphabet":["08","X8","_8"],"blank":"_8","start_state":"q08","accept_state":"qa8","reject_state":"qr8","transitions":[["q08","08","q18","X8","R"],["q08","_8","qr8","_8","S"],["q18","_8","qa8","_8","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q08, q18, qa8, qr8], [08], [08, X8, _8], _8, q08, qa8, qr8, [[q08, _8, qr8, _8, S], [q08, 08, q18, X8, R], [q18, _8, qa8, _8, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q08, q18, qa8, qr8], [08], [08, X8, _8], _8, q08, qa8, qr8, [[q08, _8, qr8, _8, S], [q08, 08, q18, X8, R], [q18, _8, qa8, _8, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
10. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q09","q19","qa9","qr9"],"input_alphabet":["09"],"tape_alphabet":["09","X9","_9"],"blank":"_9","start_state":"q09","accept_state":"qa9","reject_state":"qr9","transitions":[["q09","09","q19","X9","R"],["q09","_9","qr9","_9","S"],["q19","_9","qa9","_9","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q09, q19, qa9, qr9], [09], [09, X9, _9], _9, q09, qa9, qr9, [[q09, _9, qr9, _9, S], [q09, 09, q19, X9, R], [q19, _9, qa9, _9, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q09, q19, qa9, qr9], [09], [09, X9, _9], _9, q09, qa9, qr9, [[q09, _9, qr9, _9, S], [q09, 09, q19, X9, R], [q19, _9, qa9, _9, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
11. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q010","q110","qa10","qr10"],"input_alphabet":["010"],"tape_alphabet":["010","X10","_10"],"blank":"_10","start_state":"q010","accept_state":"qa10","reject_state":"qr10","transitions":[["q010","010","q110","X10","R"],["q010","_10","qr10","_10","S"],["q110","_10","qa10","_10","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q010, q110, qa10, qr10], [010], [010, X10, _10], _10, q010, qa10, qr10, [[q010, _10, qr10, _10, S], [q010, 010, q110, X10, R], [q110, _10, qa10, _10, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q010, q110, qa10, qr10], [010], [010, X10, _10], _10, q010, qa10, qr10, [[q010, _10, qr10, _10, S], [q010, 010, q110, X10, R], [q110, _10, qa10, _10, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
12. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q011","q111","qa11","qr11"],"input_alphabet":["011"],"tape_alphabet":["011","X11","_11"],"blank":"_11","start_state":"q011","accept_state":"qa11","reject_state":"qr11","transitions":[["q011","011","q111","X11","R"],["q011","_11","qr11","_11","S"],["q111","_11","qa11","_11","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q011, q111, qa11, qr11], [011], [011, X11, _11], _11, q011, qa11, qr11, [[q011, _11, qr11, _11, S], [q011, 011, q111, X11, R], [q111, _11, qa11, _11, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q011, q111, qa11, qr11], [011], [011, X11, _11], _11, q011, qa11, qr11, [[q011, _11, qr11, _11, S], [q011, 011, q111, X11, R], [q111, _11, qa11, _11, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
13. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q012","q112","qa12","qr12"],"input_alphabet":["012"],"tape_alphabet":["012","X12","_12"],"blank":"_12","start_state":"q012","accept_state":"qa12","reject_state":"qr12","transitions":[["q012","012","q112","X12","R"],["q012","_12","qr12","_12","S"],["q112","_12","qa12","_12","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q012, q112, qa12, qr12], [012], [012, X12, _12], _12, q012, qa12, qr12, [[q012, _12, qr12, _12, S], [q012, 012, q112, X12, R], [q112, _12, qa12, _12, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q012, q112, qa12, qr12], [012], [012, X12, _12], _12, q012, qa12, qr12, [[q012, _12, qr12, _12, S], [q012, 012, q112, X12, R], [q112, _12, qa12, _12, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
14. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q013","q113","qa13","qr13"],"input_alphabet":["013"],"tape_alphabet":["013","X13","_13"],"blank":"_13","start_state":"q013","accept_state":"qa13","reject_state":"qr13","transitions":[["q013","013","q113","X13","R"],["q013","_13","qr13","_13","S"],["q113","_13","qa13","_13","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q013, q113, qa13, qr13], [013], [013, X13, _13], _13, q013, qa13, qr13, [[q013, _13, qr13, _13, S], [q013, 013, q113, X13, R], [q113, _13, qa13, _13, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q013, q113, qa13, qr13], [013], [013, X13, _13], _13, q013, qa13, qr13, [[q013, _13, qr13, _13, S], [q013, 013, q113, X13, R], [q113, _13, qa13, _13, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
15. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q014","q114","qa14","qr14"],"input_alphabet":["014"],"tape_alphabet":["014","X14","_14"],"blank":"_14","start_state":"q014","accept_state":"qa14","reject_state":"qr14","transitions":[["q014","014","q114","X14","R"],["q014","_14","qr14","_14","S"],["q114","_14","qa14","_14","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q014, q114, qa14, qr14], [014], [014, X14, _14], _14, q014, qa14, qr14, [[q014, _14, qr14, _14, S], [q014, 014, q114, X14, R], [q114, _14, qa14, _14, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q014, q114, qa14, qr14], [014], [014, X14, _14], _14, q014, qa14, qr14, [[q014, _14, qr14, _14, S], [q014, 014, q114, X14, R], [q114, _14, qa14, _14, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
16. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q015","q115","qa15","qr15"],"input_alphabet":["015"],"tape_alphabet":["015","X15","_15"],"blank":"_15","start_state":"q015","accept_state":"qa15","reject_state":"qr15","transitions":[["q015","015","q115","X15","R"],["q015","_15","qr15","_15","S"],["q115","_15","qa15","_15","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q015, q115, qa15, qr15], [015], [015, X15, _15], _15, q015, qa15, qr15, [[q015, _15, qr15, _15, S], [q015, 015, q115, X15, R], [q115, _15, qa15, _15, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q015, q115, qa15, qr15], [015], [015, X15, _15], _15, q015, qa15, qr15, [[q015, _15, qr15, _15, S], [q015, 015, q115, X15, R], [q115, _15, qa15, _15, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
17. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q016","q116","qa16","qr16"],"input_alphabet":["016"],"tape_alphabet":["016","X16","_16"],"blank":"_16","start_state":"q016","accept_state":"qa16","reject_state":"qr16","transitions":[["q016","016","q116","X16","R"],["q016","_16","qr16","_16","S"],["q116","_16","qa16","_16","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q016, q116, qa16, qr16], [016], [016, X16, _16], _16, q016, qa16, qr16, [[q016, _16, qr16, _16, S], [q016, 016, q116, X16, R], [q116, _16, qa16, _16, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q016, q116, qa16, qr16], [016], [016, X16, _16], _16, q016, qa16, qr16, [[q016, _16, qr16, _16, S], [q016, 016, q116, X16, R], [q116, _16, qa16, _16, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
18. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q017","q117","qa17","qr17"],"input_alphabet":["017"],"tape_alphabet":["017","X17","_17"],"blank":"_17","start_state":"q017","accept_state":"qa17","reject_state":"qr17","transitions":[["q017","017","q117","X17","R"],["q017","_17","qr17","_17","S"],["q117","_17","qa17","_17","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q017, q117, qa17, qr17], [017], [017, X17, _17], _17, q017, qa17, qr17, [[q017, _17, qr17, _17, S], [q017, 017, q117, X17, R], [q117, _17, qa17, _17, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q017, q117, qa17, qr17], [017], [017, X17, _17], _17, q017, qa17, qr17, [[q017, _17, qr17, _17, S], [q017, 017, q117, X17, R], [q117, _17, qa17, _17, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
19. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q018","q118","qa18","qr18"],"input_alphabet":["018"],"tape_alphabet":["018","X18","_18"],"blank":"_18","start_state":"q018","accept_state":"qa18","reject_state":"qr18","transitions":[["q018","018","q118","X18","R"],["q018","_18","qr18","_18","S"],["q118","_18","qa18","_18","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q018, q118, qa18, qr18], [018], [018, X18, _18], _18, q018, qa18, qr18, [[q018, _18, qr18, _18, S], [q018, 018, q118, X18, R], [q118, _18, qa18, _18, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q018, q118, qa18, qr18], [018], [018, X18, _18], _18, q018, qa18, qr18, [[q018, _18, qr18, _18, S], [q018, 018, q118, X18, R], [q118, _18, qa18, _18, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
20. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q019","q119","qa19","qr19"],"input_alphabet":["019"],"tape_alphabet":["019","X19","_19"],"blank":"_19","start_state":"q019","accept_state":"qa19","reject_state":"qr19","transitions":[["q019","019","q119","X19","R"],["q019","_19","qr19","_19","S"],["q119","_19","qa19","_19","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q019, q119, qa19, qr19], [019], [019, X19, _19], _19, q019, qa19, qr19, [[q019, _19, qr19, _19, S], [q019, 019, q119, X19, R], [q119, _19, qa19, _19, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q019, q119, qa19, qr19], [019], [019, X19, _19], _19, q019, qa19, qr19, [[q019, _19, qr19, _19, S], [q019, 019, q119, X19, R], [q119, _19, qa19, _19, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
21. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q020","q120","qa20","qr20"],"input_alphabet":["020"],"tape_alphabet":["020","X20","_20"],"blank":"_20","start_state":"q020","accept_state":"qa20","reject_state":"qr20","transitions":[["q020","020","q120","X20","R"],["q020","_20","qr20","_20","S"],["q120","_20","qa20","_20","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q020, q120, qa20, qr20], [020], [020, X20, _20], _20, q020, qa20, qr20, [[q020, _20, qr20, _20, S], [q020, 020, q120, X20, R], [q120, _20, qa20, _20, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q020, q120, qa20, qr20], [020], [020, X20, _20], _20, q020, qa20, qr20, [[q020, _20, qr20, _20, S], [q020, 020, q120, X20, R], [q120, _20, qa20, _20, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
22. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q021","q121","qa21","qr21"],"input_alphabet":["021"],"tape_alphabet":["021","X21","_21"],"blank":"_21","start_state":"q021","accept_state":"qa21","reject_state":"qr21","transitions":[["q021","021","q121","X21","R"],["q021","_21","qr21","_21","S"],["q121","_21","qa21","_21","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q021, q121, qa21, qr21], [021], [021, X21, _21], _21, q021, qa21, qr21, [[q021, _21, qr21, _21, S], [q021, 021, q121, X21, R], [q121, _21, qa21, _21, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q021, q121, qa21, qr21], [021], [021, X21, _21], _21, q021, qa21, qr21, [[q021, _21, qr21, _21, S], [q021, 021, q121, X21, R], [q121, _21, qa21, _21, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
23. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q022","q122","qa22","qr22"],"input_alphabet":["022"],"tape_alphabet":["022","X22","_22"],"blank":"_22","start_state":"q022","accept_state":"qa22","reject_state":"qr22","transitions":[["q022","022","q122","X22","R"],["q022","_22","qr22","_22","S"],["q122","_22","qa22","_22","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q022, q122, qa22, qr22], [022], [022, X22, _22], _22, q022, qa22, qr22, [[q022, _22, qr22, _22, S], [q022, 022, q122, X22, R], [q122, _22, qa22, _22, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q022, q122, qa22, qr22], [022], [022, X22, _22], _22, q022, qa22, qr22, [[q022, _22, qr22, _22, S], [q022, 022, q122, X22, R], [q122, _22, qa22, _22, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
24. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q023","q123","qa23","qr23"],"input_alphabet":["023"],"tape_alphabet":["023","X23","_23"],"blank":"_23","start_state":"q023","accept_state":"qa23","reject_state":"qr23","transitions":[["q023","023","q123","X23","R"],["q023","_23","qr23","_23","S"],["q123","_23","qa23","_23","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q023, q123, qa23, qr23], [023], [023, X23, _23], _23, q023, qa23, qr23, [[q023, _23, qr23, _23, S], [q023, 023, q123, X23, R], [q123, _23, qa23, _23, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q023, q123, qa23, qr23], [023], [023, X23, _23], _23, q023, qa23, qr23, [[q023, _23, qr23, _23, S], [q023, 023, q123, X23, R], [q123, _23, qa23, _23, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
25. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-signature-qualification；資料={"states":["q024","q124","qa24","qr24"],"input_alphabet":["024"],"tape_alphabet":["024","X24","_24"],"blank":"_24","start_state":"q024","accept_state":"qa24","reject_state":"qr24","transitions":[["q024","024","q124","X24","R"],["q024","_24","qr24","_24","S"],["q124","_24","qa24","_24","L"]]}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention] 欄序回答。
查看答案與解釋
([q024, q124, qa24, qr24], [024], [024, X24, _24], _24, q024, qa24, qr24, [[q024, _24, qr24, _24, S], [q024, 024, q124, X24, R], [q124, _24, qa24, _24, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)
Wave6第七層核對=([q024, q124, qa24, qr24], [024], [024, X24, _24], _24, q024, qa24, qr24, [[q024, _24, qr24, _24, S], [q024, 024, q124, X24, R], [q124, _24, qa24, _24, L]], 是, deterministic_single_tape_signature_with_halting_states_without_outgoing_transitions)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-signature-qualification · candidate
26. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q00","q10","qa0","qr0"],"input_alphabet":["00"],"tape_alphabet":["00","X0","_0"],"blank":"_0","start_state":"q00","accept_state":"qa0","reject_state":"qr0","transitions":[["q00","00","q10","X0","R"],["q00","_0","qr0","_0","S"],["q10","_0","qa0","_0","L"]],"input":["00"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([00], 2, [[q00, 0, [[0, 00]]], [q10, 1, [[0, X0]]], [qa0, 0, [[0, X0]]]], [step, step], qa0, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([00], 2, [[q00, 0, [[0, 00]]], [q10, 1, [[0, X0]]], [qa0, 0, [[0, X0]]]], [step, step], qa0, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
27. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q01","q11","qa1","qr1"],"input_alphabet":["01"],"tape_alphabet":["01","X1","_1"],"blank":"_1","start_state":"q01","accept_state":"qa1","reject_state":"qr1","transitions":[["q01","01","q11","X1","R"],["q01","_1","qr1","_1","S"],["q11","_1","qa1","_1","L"]],"input":["01"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([01], 2, [[q01, 0, [[0, 01]]], [q11, 1, [[0, X1]]], [qa1, 0, [[0, X1]]]], [step, step], qa1, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([01], 2, [[q01, 0, [[0, 01]]], [q11, 1, [[0, X1]]], [qa1, 0, [[0, X1]]]], [step, step], qa1, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
28. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q02","q12","qa2","qr2"],"input_alphabet":["02"],"tape_alphabet":["02","X2","_2"],"blank":"_2","start_state":"q02","accept_state":"qa2","reject_state":"qr2","transitions":[["q02","02","q12","X2","R"],["q02","_2","qr2","_2","S"],["q12","_2","qa2","_2","L"]],"input":["02"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([02], 2, [[q02, 0, [[0, 02]]], [q12, 1, [[0, X2]]], [qa2, 0, [[0, X2]]]], [step, step], qa2, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([02], 2, [[q02, 0, [[0, 02]]], [q12, 1, [[0, X2]]], [qa2, 0, [[0, X2]]]], [step, step], qa2, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
29. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q03","q13","qa3","qr3"],"input_alphabet":["03"],"tape_alphabet":["03","X3","_3"],"blank":"_3","start_state":"q03","accept_state":"qa3","reject_state":"qr3","transitions":[["q03","03","q13","X3","R"],["q03","_3","qr3","_3","S"],["q13","_3","qa3","_3","L"]],"input":["03"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([03], 2, [[q03, 0, [[0, 03]]], [q13, 1, [[0, X3]]], [qa3, 0, [[0, X3]]]], [step, step], qa3, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([03], 2, [[q03, 0, [[0, 03]]], [q13, 1, [[0, X3]]], [qa3, 0, [[0, X3]]]], [step, step], qa3, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
30. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q04","q14","qa4","qr4"],"input_alphabet":["04"],"tape_alphabet":["04","X4","_4"],"blank":"_4","start_state":"q04","accept_state":"qa4","reject_state":"qr4","transitions":[["q04","04","q14","X4","R"],["q04","_4","qr4","_4","S"],["q14","_4","qa4","_4","L"]],"input":["04"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([04], 2, [[q04, 0, [[0, 04]]], [q14, 1, [[0, X4]]], [qa4, 0, [[0, X4]]]], [step, step], qa4, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([04], 2, [[q04, 0, [[0, 04]]], [q14, 1, [[0, X4]]], [qa4, 0, [[0, X4]]]], [step, step], qa4, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
31. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q05","q15","qa5","qr5"],"input_alphabet":["05"],"tape_alphabet":["05","X5","_5"],"blank":"_5","start_state":"q05","accept_state":"qa5","reject_state":"qr5","transitions":[["q05","05","q15","X5","R"],["q05","_5","qr5","_5","S"],["q15","_5","qa5","_5","L"]],"input":["05"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([05], 2, [[q05, 0, [[0, 05]]], [q15, 1, [[0, X5]]], [qa5, 0, [[0, X5]]]], [step, step], qa5, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([05], 2, [[q05, 0, [[0, 05]]], [q15, 1, [[0, X5]]], [qa5, 0, [[0, X5]]]], [step, step], qa5, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
32. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q06","q16","qa6","qr6"],"input_alphabet":["06"],"tape_alphabet":["06","X6","_6"],"blank":"_6","start_state":"q06","accept_state":"qa6","reject_state":"qr6","transitions":[["q06","06","q16","X6","R"],["q06","_6","qr6","_6","S"],["q16","_6","qa6","_6","L"]],"input":["06"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([06], 2, [[q06, 0, [[0, 06]]], [q16, 1, [[0, X6]]], [qa6, 0, [[0, X6]]]], [step, step], qa6, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([06], 2, [[q06, 0, [[0, 06]]], [q16, 1, [[0, X6]]], [qa6, 0, [[0, X6]]]], [step, step], qa6, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
33. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q07","q17","qa7","qr7"],"input_alphabet":["07"],"tape_alphabet":["07","X7","_7"],"blank":"_7","start_state":"q07","accept_state":"qa7","reject_state":"qr7","transitions":[["q07","07","q17","X7","R"],["q07","_7","qr7","_7","S"],["q17","_7","qa7","_7","L"]],"input":["07"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([07], 2, [[q07, 0, [[0, 07]]], [q17, 1, [[0, X7]]], [qa7, 0, [[0, X7]]]], [step, step], qa7, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([07], 2, [[q07, 0, [[0, 07]]], [q17, 1, [[0, X7]]], [qa7, 0, [[0, X7]]]], [step, step], qa7, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
34. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q08","q18","qa8","qr8"],"input_alphabet":["08"],"tape_alphabet":["08","X8","_8"],"blank":"_8","start_state":"q08","accept_state":"qa8","reject_state":"qr8","transitions":[["q08","08","q18","X8","R"],["q08","_8","qr8","_8","S"],["q18","_8","qa8","_8","L"]],"input":["08"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([08], 2, [[q08, 0, [[0, 08]]], [q18, 1, [[0, X8]]], [qa8, 0, [[0, X8]]]], [step, step], qa8, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([08], 2, [[q08, 0, [[0, 08]]], [q18, 1, [[0, X8]]], [qa8, 0, [[0, X8]]]], [step, step], qa8, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
35. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q09","q19","qa9","qr9"],"input_alphabet":["09"],"tape_alphabet":["09","X9","_9"],"blank":"_9","start_state":"q09","accept_state":"qa9","reject_state":"qr9","transitions":[["q09","09","q19","X9","R"],["q09","_9","qr9","_9","S"],["q19","_9","qa9","_9","L"]],"input":["09"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([09], 2, [[q09, 0, [[0, 09]]], [q19, 1, [[0, X9]]], [qa9, 0, [[0, X9]]]], [step, step], qa9, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([09], 2, [[q09, 0, [[0, 09]]], [q19, 1, [[0, X9]]], [qa9, 0, [[0, X9]]]], [step, step], qa9, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
36. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q010","q110","qa10","qr10"],"input_alphabet":["010"],"tape_alphabet":["010","X10","_10"],"blank":"_10","start_state":"q010","accept_state":"qa10","reject_state":"qr10","transitions":[["q010","010","q110","X10","R"],["q010","_10","qr10","_10","S"],["q110","_10","qa10","_10","L"]],"input":["010"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([010], 2, [[q010, 0, [[0, 010]]], [q110, 1, [[0, X10]]], [qa10, 0, [[0, X10]]]], [step, step], qa10, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([010], 2, [[q010, 0, [[0, 010]]], [q110, 1, [[0, X10]]], [qa10, 0, [[0, X10]]]], [step, step], qa10, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
37. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q011","q111","qa11","qr11"],"input_alphabet":["011"],"tape_alphabet":["011","X11","_11"],"blank":"_11","start_state":"q011","accept_state":"qa11","reject_state":"qr11","transitions":[["q011","011","q111","X11","R"],["q011","_11","qr11","_11","S"],["q111","_11","qa11","_11","L"]],"input":["011"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([011], 2, [[q011, 0, [[0, 011]]], [q111, 1, [[0, X11]]], [qa11, 0, [[0, X11]]]], [step, step], qa11, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([011], 2, [[q011, 0, [[0, 011]]], [q111, 1, [[0, X11]]], [qa11, 0, [[0, X11]]]], [step, step], qa11, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
38. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q012","q112","qa12","qr12"],"input_alphabet":["012"],"tape_alphabet":["012","X12","_12"],"blank":"_12","start_state":"q012","accept_state":"qa12","reject_state":"qr12","transitions":[["q012","012","q112","X12","R"],["q012","_12","qr12","_12","S"],["q112","_12","qa12","_12","L"]],"input":["012"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([012], 2, [[q012, 0, [[0, 012]]], [q112, 1, [[0, X12]]], [qa12, 0, [[0, X12]]]], [step, step], qa12, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([012], 2, [[q012, 0, [[0, 012]]], [q112, 1, [[0, X12]]], [qa12, 0, [[0, X12]]]], [step, step], qa12, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
39. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q013","q113","qa13","qr13"],"input_alphabet":["013"],"tape_alphabet":["013","X13","_13"],"blank":"_13","start_state":"q013","accept_state":"qa13","reject_state":"qr13","transitions":[["q013","013","q113","X13","R"],["q013","_13","qr13","_13","S"],["q113","_13","qa13","_13","L"]],"input":["013"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([013], 2, [[q013, 0, [[0, 013]]], [q113, 1, [[0, X13]]], [qa13, 0, [[0, X13]]]], [step, step], qa13, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([013], 2, [[q013, 0, [[0, 013]]], [q113, 1, [[0, X13]]], [qa13, 0, [[0, X13]]]], [step, step], qa13, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
40. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q014","q114","qa14","qr14"],"input_alphabet":["014"],"tape_alphabet":["014","X14","_14"],"blank":"_14","start_state":"q014","accept_state":"qa14","reject_state":"qr14","transitions":[["q014","014","q114","X14","R"],["q014","_14","qr14","_14","S"],["q114","_14","qa14","_14","L"]],"input":["014"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([014], 2, [[q014, 0, [[0, 014]]], [q114, 1, [[0, X14]]], [qa14, 0, [[0, X14]]]], [step, step], qa14, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([014], 2, [[q014, 0, [[0, 014]]], [q114, 1, [[0, X14]]], [qa14, 0, [[0, X14]]]], [step, step], qa14, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
41. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q015","q115","qa15","qr15"],"input_alphabet":["015"],"tape_alphabet":["015","X15","_15"],"blank":"_15","start_state":"q015","accept_state":"qa15","reject_state":"qr15","transitions":[["q015","015","q115","X15","R"],["q015","_15","qr15","_15","S"],["q115","_15","qa15","_15","L"]],"input":["015"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([015], 2, [[q015, 0, [[0, 015]]], [q115, 1, [[0, X15]]], [qa15, 0, [[0, X15]]]], [step, step], qa15, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([015], 2, [[q015, 0, [[0, 015]]], [q115, 1, [[0, X15]]], [qa15, 0, [[0, X15]]]], [step, step], qa15, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
42. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q016","q116","qa16","qr16"],"input_alphabet":["016"],"tape_alphabet":["016","X16","_16"],"blank":"_16","start_state":"q016","accept_state":"qa16","reject_state":"qr16","transitions":[["q016","016","q116","X16","R"],["q016","_16","qr16","_16","S"],["q116","_16","qa16","_16","L"]],"input":["016"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([016], 2, [[q016, 0, [[0, 016]]], [q116, 1, [[0, X16]]], [qa16, 0, [[0, X16]]]], [step, step], qa16, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([016], 2, [[q016, 0, [[0, 016]]], [q116, 1, [[0, X16]]], [qa16, 0, [[0, X16]]]], [step, step], qa16, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
43. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q017","q117","qa17","qr17"],"input_alphabet":["017"],"tape_alphabet":["017","X17","_17"],"blank":"_17","start_state":"q017","accept_state":"qa17","reject_state":"qr17","transitions":[["q017","017","q117","X17","R"],["q017","_17","qr17","_17","S"],["q117","_17","qa17","_17","L"]],"input":["017"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([017], 2, [[q017, 0, [[0, 017]]], [q117, 1, [[0, X17]]], [qa17, 0, [[0, X17]]]], [step, step], qa17, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([017], 2, [[q017, 0, [[0, 017]]], [q117, 1, [[0, X17]]], [qa17, 0, [[0, X17]]]], [step, step], qa17, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
44. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q018","q118","qa18","qr18"],"input_alphabet":["018"],"tape_alphabet":["018","X18","_18"],"blank":"_18","start_state":"q018","accept_state":"qa18","reject_state":"qr18","transitions":[["q018","018","q118","X18","R"],["q018","_18","qr18","_18","S"],["q118","_18","qa18","_18","L"]],"input":["018"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([018], 2, [[q018, 0, [[0, 018]]], [q118, 1, [[0, X18]]], [qa18, 0, [[0, X18]]]], [step, step], qa18, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([018], 2, [[q018, 0, [[0, 018]]], [q118, 1, [[0, X18]]], [qa18, 0, [[0, X18]]]], [step, step], qa18, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
45. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q019","q119","qa19","qr19"],"input_alphabet":["019"],"tape_alphabet":["019","X19","_19"],"blank":"_19","start_state":"q019","accept_state":"qa19","reject_state":"qr19","transitions":[["q019","019","q119","X19","R"],["q019","_19","qr19","_19","S"],["q119","_19","qa19","_19","L"]],"input":["019"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([019], 2, [[q019, 0, [[0, 019]]], [q119, 1, [[0, X19]]], [qa19, 0, [[0, X19]]]], [step, step], qa19, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([019], 2, [[q019, 0, [[0, 019]]], [q119, 1, [[0, X19]]], [qa19, 0, [[0, X19]]]], [step, step], qa19, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
46. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q020","q120","qa20","qr20"],"input_alphabet":["020"],"tape_alphabet":["020","X20","_20"],"blank":"_20","start_state":"q020","accept_state":"qa20","reject_state":"qr20","transitions":[["q020","020","q120","X20","R"],["q020","_20","qr20","_20","S"],["q120","_20","qa20","_20","L"]],"input":["020"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([020], 2, [[q020, 0, [[0, 020]]], [q120, 1, [[0, X20]]], [qa20, 0, [[0, X20]]]], [step, step], qa20, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([020], 2, [[q020, 0, [[0, 020]]], [q120, 1, [[0, X20]]], [qa20, 0, [[0, X20]]]], [step, step], qa20, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
47. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q021","q121","qa21","qr21"],"input_alphabet":["021"],"tape_alphabet":["021","X21","_21"],"blank":"_21","start_state":"q021","accept_state":"qa21","reject_state":"qr21","transitions":[["q021","021","q121","X21","R"],["q021","_21","qr21","_21","S"],["q121","_21","qa21","_21","L"]],"input":["021"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([021], 2, [[q021, 0, [[0, 021]]], [q121, 1, [[0, X21]]], [qa21, 0, [[0, X21]]]], [step, step], qa21, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([021], 2, [[q021, 0, [[0, 021]]], [q121, 1, [[0, X21]]], [qa21, 0, [[0, X21]]]], [step, step], qa21, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
48. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q022","q122","qa22","qr22"],"input_alphabet":["022"],"tape_alphabet":["022","X22","_22"],"blank":"_22","start_state":"q022","accept_state":"qa22","reject_state":"qr22","transitions":[["q022","022","q122","X22","R"],["q022","_22","qr22","_22","S"],["q122","_22","qa22","_22","L"]],"input":["022"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([022], 2, [[q022, 0, [[0, 022]]], [q122, 1, [[0, X22]]], [qa22, 0, [[0, X22]]]], [step, step], qa22, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([022], 2, [[q022, 0, [[0, 022]]], [q122, 1, [[0, X22]]], [qa22, 0, [[0, X22]]]], [step, step], qa22, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
49. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q023","q123","qa23","qr23"],"input_alphabet":["023"],"tape_alphabet":["023","X23","_23"],"blank":"_23","start_state":"q023","accept_state":"qa23","reject_state":"qr23","transitions":[["q023","023","q123","X23","R"],["q023","_23","qr23","_23","S"],["q123","_23","qa23","_23","L"]],"input":["023"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([023], 2, [[q023, 0, [[0, 023]]], [q123, 1, [[0, X23]]], [qa23, 0, [[0, X23]]]], [step, step], qa23, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([023], 2, [[q023, 0, [[0, 023]]], [q123, 1, [[0, X23]]], [qa23, 0, [[0, X23]]]], [step, step], qa23, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
50. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-exact-step-trace；資料={"states":["q024","q124","qa24","qr24"],"input_alphabet":["024"],"tape_alphabet":["024","X24","_24"],"blank":"_24","start_state":"q024","accept_state":"qa24","reject_state":"qr24","transitions":[["q024","024","q124","X24","R"],["q024","_24","qr24","_24","S"],["q124","_24","qa24","_24","L"]],"input":["024"],"steps":2}。請依 [input, step_budget, configurations, step_outcomes, final_state, local_outcome, global_decider_certificate, boundary] 欄序回答。
stuck代表當前讀字沒有transition，不自動當reject；未在budget內停機也不證無窮loop。
查看答案與解釋
([024], 2, [[q024, 0, [[0, 024]]], [q124, 1, [[0, X24]]], [qa24, 0, [[0, X24]]]], [step, step], qa24, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)
Wave6第七層核對=([024], 2, [[q024, 0, [[0, 024]]], [q124, 1, [[0, X24]]], [qa24, 0, [[0, X24]]]], [step, step], qa24, accept, 否, finite_trace_is_input_local_and_does_not_certify_a_global_decider)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-exact-step-trace · candidate
51. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a0","b0"],"tape_alphabet":["a0","b0","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a0","scan","a0","R"],["scan","b0","accept","b0","S"],["scan","_","reject","_","S"]],"target_symbol":"b0"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a0, b0], [_, a0, b0], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a0, scan, a0, R], [scan, b0, accept, b0, S]], b0, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a0, b0], [_, a0, b0], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a0, scan, a0, R], [scan, b0, accept, b0, S]], b0, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
52. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a1","b1"],"tape_alphabet":["a1","b1","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a1","scan","a1","R"],["scan","b1","accept","b1","S"],["scan","_","reject","_","S"]],"target_symbol":"b1"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a1, b1], [_, a1, b1], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a1, scan, a1, R], [scan, b1, accept, b1, S]], b1, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a1, b1], [_, a1, b1], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a1, scan, a1, R], [scan, b1, accept, b1, S]], b1, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
53. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a2","b2"],"tape_alphabet":["a2","b2","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a2","scan","a2","R"],["scan","b2","accept","b2","S"],["scan","_","reject","_","S"]],"target_symbol":"b2"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a2, b2], [_, a2, b2], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a2, scan, a2, R], [scan, b2, accept, b2, S]], b2, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a2, b2], [_, a2, b2], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a2, scan, a2, R], [scan, b2, accept, b2, S]], b2, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
54. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a3","b3"],"tape_alphabet":["a3","b3","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a3","scan","a3","R"],["scan","b3","accept","b3","S"],["scan","_","reject","_","S"]],"target_symbol":"b3"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a3, b3], [_, a3, b3], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a3, scan, a3, R], [scan, b3, accept, b3, S]], b3, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a3, b3], [_, a3, b3], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a3, scan, a3, R], [scan, b3, accept, b3, S]], b3, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
55. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a4","b4"],"tape_alphabet":["a4","b4","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a4","scan","a4","R"],["scan","b4","accept","b4","S"],["scan","_","reject","_","S"]],"target_symbol":"b4"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a4, b4], [_, a4, b4], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a4, scan, a4, R], [scan, b4, accept, b4, S]], b4, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a4, b4], [_, a4, b4], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a4, scan, a4, R], [scan, b4, accept, b4, S]], b4, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
56. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a5","b5"],"tape_alphabet":["a5","b5","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a5","scan","a5","R"],["scan","b5","accept","b5","S"],["scan","_","reject","_","S"]],"target_symbol":"b5"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a5, b5], [_, a5, b5], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a5, scan, a5, R], [scan, b5, accept, b5, S]], b5, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a5, b5], [_, a5, b5], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a5, scan, a5, R], [scan, b5, accept, b5, S]], b5, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
57. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a6","b6"],"tape_alphabet":["a6","b6","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a6","scan","a6","R"],["scan","b6","accept","b6","S"],["scan","_","reject","_","S"]],"target_symbol":"b6"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a6, b6], [_, a6, b6], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a6, scan, a6, R], [scan, b6, accept, b6, S]], b6, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a6, b6], [_, a6, b6], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a6, scan, a6, R], [scan, b6, accept, b6, S]], b6, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
58. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a7","b7"],"tape_alphabet":["a7","b7","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a7","scan","a7","R"],["scan","b7","accept","b7","S"],["scan","_","reject","_","S"]],"target_symbol":"b7"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a7, b7], [_, a7, b7], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a7, scan, a7, R], [scan, b7, accept, b7, S]], b7, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a7, b7], [_, a7, b7], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a7, scan, a7, R], [scan, b7, accept, b7, S]], b7, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
59. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a8","b8"],"tape_alphabet":["a8","b8","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a8","scan","a8","R"],["scan","b8","accept","b8","S"],["scan","_","reject","_","S"]],"target_symbol":"b8"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a8, b8], [_, a8, b8], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a8, scan, a8, R], [scan, b8, accept, b8, S]], b8, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a8, b8], [_, a8, b8], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a8, scan, a8, R], [scan, b8, accept, b8, S]], b8, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
60. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a9","b9"],"tape_alphabet":["a9","b9","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a9","scan","a9","R"],["scan","b9","accept","b9","S"],["scan","_","reject","_","S"]],"target_symbol":"b9"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a9, b9], [_, a9, b9], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a9, scan, a9, R], [scan, b9, accept, b9, S]], b9, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a9, b9], [_, a9, b9], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a9, scan, a9, R], [scan, b9, accept, b9, S]], b9, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
61. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a10","b10"],"tape_alphabet":["a10","b10","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a10","scan","a10","R"],["scan","b10","accept","b10","S"],["scan","_","reject","_","S"]],"target_symbol":"b10"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a10, b10], [_, a10, b10], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a10, scan, a10, R], [scan, b10, accept, b10, S]], b10, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a10, b10], [_, a10, b10], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a10, scan, a10, R], [scan, b10, accept, b10, S]], b10, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
62. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a11","b11"],"tape_alphabet":["a11","b11","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a11","scan","a11","R"],["scan","b11","accept","b11","S"],["scan","_","reject","_","S"]],"target_symbol":"b11"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a11, b11], [_, a11, b11], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a11, scan, a11, R], [scan, b11, accept, b11, S]], b11, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a11, b11], [_, a11, b11], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a11, scan, a11, R], [scan, b11, accept, b11, S]], b11, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
63. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a12","b12"],"tape_alphabet":["a12","b12","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a12","scan","a12","R"],["scan","b12","accept","b12","S"],["scan","_","reject","_","S"]],"target_symbol":"b12"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a12, b12], [_, a12, b12], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a12, scan, a12, R], [scan, b12, accept, b12, S]], b12, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a12, b12], [_, a12, b12], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a12, scan, a12, R], [scan, b12, accept, b12, S]], b12, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
64. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a13","b13"],"tape_alphabet":["a13","b13","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a13","scan","a13","R"],["scan","b13","accept","b13","S"],["scan","_","reject","_","S"]],"target_symbol":"b13"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a13, b13], [_, a13, b13], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a13, scan, a13, R], [scan, b13, accept, b13, S]], b13, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a13, b13], [_, a13, b13], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a13, scan, a13, R], [scan, b13, accept, b13, S]], b13, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
65. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a14","b14"],"tape_alphabet":["a14","b14","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a14","scan","a14","R"],["scan","b14","accept","b14","S"],["scan","_","reject","_","S"]],"target_symbol":"b14"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a14, b14], [_, a14, b14], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a14, scan, a14, R], [scan, b14, accept, b14, S]], b14, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a14, b14], [_, a14, b14], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a14, scan, a14, R], [scan, b14, accept, b14, S]], b14, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
66. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a15","b15"],"tape_alphabet":["a15","b15","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a15","scan","a15","R"],["scan","b15","accept","b15","S"],["scan","_","reject","_","S"]],"target_symbol":"b15"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a15, b15], [_, a15, b15], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a15, scan, a15, R], [scan, b15, accept, b15, S]], b15, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a15, b15], [_, a15, b15], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a15, scan, a15, R], [scan, b15, accept, b15, S]], b15, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
67. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a16","b16"],"tape_alphabet":["a16","b16","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a16","scan","a16","R"],["scan","b16","accept","b16","S"],["scan","_","reject","_","S"]],"target_symbol":"b16"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a16, b16], [_, a16, b16], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a16, scan, a16, R], [scan, b16, accept, b16, S]], b16, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a16, b16], [_, a16, b16], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a16, scan, a16, R], [scan, b16, accept, b16, S]], b16, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
68. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a17","b17"],"tape_alphabet":["a17","b17","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a17","scan","a17","R"],["scan","b17","accept","b17","S"],["scan","_","reject","_","S"]],"target_symbol":"b17"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a17, b17], [_, a17, b17], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a17, scan, a17, R], [scan, b17, accept, b17, S]], b17, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a17, b17], [_, a17, b17], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a17, scan, a17, R], [scan, b17, accept, b17, S]], b17, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
69. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a18","b18"],"tape_alphabet":["a18","b18","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a18","scan","a18","R"],["scan","b18","accept","b18","S"],["scan","_","reject","_","S"]],"target_symbol":"b18"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a18, b18], [_, a18, b18], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a18, scan, a18, R], [scan, b18, accept, b18, S]], b18, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a18, b18], [_, a18, b18], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a18, scan, a18, R], [scan, b18, accept, b18, S]], b18, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
70. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a19","b19"],"tape_alphabet":["a19","b19","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a19","scan","a19","R"],["scan","b19","accept","b19","S"],["scan","_","reject","_","S"]],"target_symbol":"b19"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a19, b19], [_, a19, b19], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a19, scan, a19, R], [scan, b19, accept, b19, S]], b19, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a19, b19], [_, a19, b19], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a19, scan, a19, R], [scan, b19, accept, b19, S]], b19, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
71. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a20","b20"],"tape_alphabet":["a20","b20","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a20","scan","a20","R"],["scan","b20","accept","b20","S"],["scan","_","reject","_","S"]],"target_symbol":"b20"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a20, b20], [_, a20, b20], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a20, scan, a20, R], [scan, b20, accept, b20, S]], b20, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a20, b20], [_, a20, b20], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a20, scan, a20, R], [scan, b20, accept, b20, S]], b20, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
72. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a21","b21"],"tape_alphabet":["a21","b21","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a21","scan","a21","R"],["scan","b21","accept","b21","S"],["scan","_","reject","_","S"]],"target_symbol":"b21"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a21, b21], [_, a21, b21], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a21, scan, a21, R], [scan, b21, accept, b21, S]], b21, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a21, b21], [_, a21, b21], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a21, scan, a21, R], [scan, b21, accept, b21, S]], b21, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
73. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a22","b22"],"tape_alphabet":["a22","b22","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a22","scan","a22","R"],["scan","b22","accept","b22","S"],["scan","_","reject","_","S"]],"target_symbol":"b22"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a22, b22], [_, a22, b22], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a22, scan, a22, R], [scan, b22, accept, b22, S]], b22, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a22, b22], [_, a22, b22], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a22, scan, a22, R], [scan, b22, accept, b22, S]], b22, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
74. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a23","b23"],"tape_alphabet":["a23","b23","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a23","scan","a23","R"],["scan","b23","accept","b23","S"],["scan","_","reject","_","S"]],"target_symbol":"b23"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a23, b23], [_, a23, b23], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a23, scan, a23, R], [scan, b23, accept, b23, S]], b23, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a23, b23], [_, a23, b23], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a23, scan, a23, R], [scan, b23, accept, b23, S]], b23, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
75. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-global-decider-ranking；資料={"states":["scan","accept","reject"],"input_alphabet":["a24","b24"],"tape_alphabet":["a24","b24","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a24","scan","a24","R"],["scan","b24","accept","b24","S"],["scan","_","reject","_","S"]],"target_symbol":"b24"}。請依 [states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, target_symbol, ranking, decrease_rule, step_bound, schema_decider_certificate, certificate] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a24, b24], [_, a24, b24], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a24, scan, a24, R], [scan, b24, accept, b24, S]], b24, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)
Wave6第七層核對=([accept, reject, scan], [a24, b24], [_, a24, b24], _, scan, accept, reject, [[scan, _, reject, _, S], [scan, a24, scan, a24, R], [scan, b24, accept, b24, S]], b24, ranking=unscanned_input_cells_plus_one, strictly_decreases_on_every_scan_step, |w|+1, 是, global_termination_and_answer_correctness_certificate_for_all_words)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-global-decider-ranking · candidate
76. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a0","b0"],"tape_alphabet":["a0","b0","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a0","scan","a0","R"],["scan","b0","accept","b0","S"],["scan","_","scan","_","S"]],"target_symbol":"b0","input":["a0","a0"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a0, b0], [_, a0, b0], [[scan, _, scan, _, S], [scan, a0, scan, a0, R], [scan, b0, accept, b0, S]], b0, [a0, a0], [scan, 2, [[0, a0], [1, a0]]], [scan, 2, [[0, a0], [1, a0]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a0, b0], [_, a0, b0], [[scan, _, scan, _, S], [scan, a0, scan, a0, R], [scan, b0, accept, b0, S]], b0, [a0, a0], [scan, 2, [[0, a0], [1, a0]]], [scan, 2, [[0, a0], [1, a0]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
77. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a1","b1"],"tape_alphabet":["a1","b1","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a1","scan","a1","R"],["scan","b1","accept","b1","S"],["scan","_","scan","_","S"]],"target_symbol":"b1","input":["a1","a1"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a1, b1], [_, a1, b1], [[scan, _, scan, _, S], [scan, a1, scan, a1, R], [scan, b1, accept, b1, S]], b1, [a1, a1], [scan, 2, [[0, a1], [1, a1]]], [scan, 2, [[0, a1], [1, a1]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a1, b1], [_, a1, b1], [[scan, _, scan, _, S], [scan, a1, scan, a1, R], [scan, b1, accept, b1, S]], b1, [a1, a1], [scan, 2, [[0, a1], [1, a1]]], [scan, 2, [[0, a1], [1, a1]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
78. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a2","b2"],"tape_alphabet":["a2","b2","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a2","scan","a2","R"],["scan","b2","accept","b2","S"],["scan","_","scan","_","S"]],"target_symbol":"b2","input":["a2","a2"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a2, b2], [_, a2, b2], [[scan, _, scan, _, S], [scan, a2, scan, a2, R], [scan, b2, accept, b2, S]], b2, [a2, a2], [scan, 2, [[0, a2], [1, a2]]], [scan, 2, [[0, a2], [1, a2]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a2, b2], [_, a2, b2], [[scan, _, scan, _, S], [scan, a2, scan, a2, R], [scan, b2, accept, b2, S]], b2, [a2, a2], [scan, 2, [[0, a2], [1, a2]]], [scan, 2, [[0, a2], [1, a2]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
79. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a3","b3"],"tape_alphabet":["a3","b3","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a3","scan","a3","R"],["scan","b3","accept","b3","S"],["scan","_","scan","_","S"]],"target_symbol":"b3","input":["a3","a3"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a3, b3], [_, a3, b3], [[scan, _, scan, _, S], [scan, a3, scan, a3, R], [scan, b3, accept, b3, S]], b3, [a3, a3], [scan, 2, [[0, a3], [1, a3]]], [scan, 2, [[0, a3], [1, a3]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a3, b3], [_, a3, b3], [[scan, _, scan, _, S], [scan, a3, scan, a3, R], [scan, b3, accept, b3, S]], b3, [a3, a3], [scan, 2, [[0, a3], [1, a3]]], [scan, 2, [[0, a3], [1, a3]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
80. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a4","b4"],"tape_alphabet":["a4","b4","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a4","scan","a4","R"],["scan","b4","accept","b4","S"],["scan","_","scan","_","S"]],"target_symbol":"b4","input":["a4","a4"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a4, b4], [_, a4, b4], [[scan, _, scan, _, S], [scan, a4, scan, a4, R], [scan, b4, accept, b4, S]], b4, [a4, a4], [scan, 2, [[0, a4], [1, a4]]], [scan, 2, [[0, a4], [1, a4]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a4, b4], [_, a4, b4], [[scan, _, scan, _, S], [scan, a4, scan, a4, R], [scan, b4, accept, b4, S]], b4, [a4, a4], [scan, 2, [[0, a4], [1, a4]]], [scan, 2, [[0, a4], [1, a4]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
81. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a5","b5"],"tape_alphabet":["a5","b5","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a5","scan","a5","R"],["scan","b5","accept","b5","S"],["scan","_","scan","_","S"]],"target_symbol":"b5","input":["a5","a5"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a5, b5], [_, a5, b5], [[scan, _, scan, _, S], [scan, a5, scan, a5, R], [scan, b5, accept, b5, S]], b5, [a5, a5], [scan, 2, [[0, a5], [1, a5]]], [scan, 2, [[0, a5], [1, a5]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a5, b5], [_, a5, b5], [[scan, _, scan, _, S], [scan, a5, scan, a5, R], [scan, b5, accept, b5, S]], b5, [a5, a5], [scan, 2, [[0, a5], [1, a5]]], [scan, 2, [[0, a5], [1, a5]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
82. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a6","b6"],"tape_alphabet":["a6","b6","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a6","scan","a6","R"],["scan","b6","accept","b6","S"],["scan","_","scan","_","S"]],"target_symbol":"b6","input":["a6","a6"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a6, b6], [_, a6, b6], [[scan, _, scan, _, S], [scan, a6, scan, a6, R], [scan, b6, accept, b6, S]], b6, [a6, a6], [scan, 2, [[0, a6], [1, a6]]], [scan, 2, [[0, a6], [1, a6]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a6, b6], [_, a6, b6], [[scan, _, scan, _, S], [scan, a6, scan, a6, R], [scan, b6, accept, b6, S]], b6, [a6, a6], [scan, 2, [[0, a6], [1, a6]]], [scan, 2, [[0, a6], [1, a6]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
83. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a7","b7"],"tape_alphabet":["a7","b7","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a7","scan","a7","R"],["scan","b7","accept","b7","S"],["scan","_","scan","_","S"]],"target_symbol":"b7","input":["a7","a7"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a7, b7], [_, a7, b7], [[scan, _, scan, _, S], [scan, a7, scan, a7, R], [scan, b7, accept, b7, S]], b7, [a7, a7], [scan, 2, [[0, a7], [1, a7]]], [scan, 2, [[0, a7], [1, a7]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a7, b7], [_, a7, b7], [[scan, _, scan, _, S], [scan, a7, scan, a7, R], [scan, b7, accept, b7, S]], b7, [a7, a7], [scan, 2, [[0, a7], [1, a7]]], [scan, 2, [[0, a7], [1, a7]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
84. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a8","b8"],"tape_alphabet":["a8","b8","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a8","scan","a8","R"],["scan","b8","accept","b8","S"],["scan","_","scan","_","S"]],"target_symbol":"b8","input":["a8","a8"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a8, b8], [_, a8, b8], [[scan, _, scan, _, S], [scan, a8, scan, a8, R], [scan, b8, accept, b8, S]], b8, [a8, a8], [scan, 2, [[0, a8], [1, a8]]], [scan, 2, [[0, a8], [1, a8]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a8, b8], [_, a8, b8], [[scan, _, scan, _, S], [scan, a8, scan, a8, R], [scan, b8, accept, b8, S]], b8, [a8, a8], [scan, 2, [[0, a8], [1, a8]]], [scan, 2, [[0, a8], [1, a8]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
85. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a9","b9"],"tape_alphabet":["a9","b9","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a9","scan","a9","R"],["scan","b9","accept","b9","S"],["scan","_","scan","_","S"]],"target_symbol":"b9","input":["a9","a9"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a9, b9], [_, a9, b9], [[scan, _, scan, _, S], [scan, a9, scan, a9, R], [scan, b9, accept, b9, S]], b9, [a9, a9], [scan, 2, [[0, a9], [1, a9]]], [scan, 2, [[0, a9], [1, a9]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a9, b9], [_, a9, b9], [[scan, _, scan, _, S], [scan, a9, scan, a9, R], [scan, b9, accept, b9, S]], b9, [a9, a9], [scan, 2, [[0, a9], [1, a9]]], [scan, 2, [[0, a9], [1, a9]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
86. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a10","b10"],"tape_alphabet":["a10","b10","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a10","scan","a10","R"],["scan","b10","accept","b10","S"],["scan","_","scan","_","S"]],"target_symbol":"b10","input":["a10","a10"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a10, b10], [_, a10, b10], [[scan, _, scan, _, S], [scan, a10, scan, a10, R], [scan, b10, accept, b10, S]], b10, [a10, a10], [scan, 2, [[0, a10], [1, a10]]], [scan, 2, [[0, a10], [1, a10]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a10, b10], [_, a10, b10], [[scan, _, scan, _, S], [scan, a10, scan, a10, R], [scan, b10, accept, b10, S]], b10, [a10, a10], [scan, 2, [[0, a10], [1, a10]]], [scan, 2, [[0, a10], [1, a10]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
87. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a11","b11"],"tape_alphabet":["a11","b11","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a11","scan","a11","R"],["scan","b11","accept","b11","S"],["scan","_","scan","_","S"]],"target_symbol":"b11","input":["a11","a11"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a11, b11], [_, a11, b11], [[scan, _, scan, _, S], [scan, a11, scan, a11, R], [scan, b11, accept, b11, S]], b11, [a11, a11], [scan, 2, [[0, a11], [1, a11]]], [scan, 2, [[0, a11], [1, a11]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a11, b11], [_, a11, b11], [[scan, _, scan, _, S], [scan, a11, scan, a11, R], [scan, b11, accept, b11, S]], b11, [a11, a11], [scan, 2, [[0, a11], [1, a11]]], [scan, 2, [[0, a11], [1, a11]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
88. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a12","b12"],"tape_alphabet":["a12","b12","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a12","scan","a12","R"],["scan","b12","accept","b12","S"],["scan","_","scan","_","S"]],"target_symbol":"b12","input":["a12","a12"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a12, b12], [_, a12, b12], [[scan, _, scan, _, S], [scan, a12, scan, a12, R], [scan, b12, accept, b12, S]], b12, [a12, a12], [scan, 2, [[0, a12], [1, a12]]], [scan, 2, [[0, a12], [1, a12]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a12, b12], [_, a12, b12], [[scan, _, scan, _, S], [scan, a12, scan, a12, R], [scan, b12, accept, b12, S]], b12, [a12, a12], [scan, 2, [[0, a12], [1, a12]]], [scan, 2, [[0, a12], [1, a12]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
89. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a13","b13"],"tape_alphabet":["a13","b13","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a13","scan","a13","R"],["scan","b13","accept","b13","S"],["scan","_","scan","_","S"]],"target_symbol":"b13","input":["a13","a13"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a13, b13], [_, a13, b13], [[scan, _, scan, _, S], [scan, a13, scan, a13, R], [scan, b13, accept, b13, S]], b13, [a13, a13], [scan, 2, [[0, a13], [1, a13]]], [scan, 2, [[0, a13], [1, a13]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a13, b13], [_, a13, b13], [[scan, _, scan, _, S], [scan, a13, scan, a13, R], [scan, b13, accept, b13, S]], b13, [a13, a13], [scan, 2, [[0, a13], [1, a13]]], [scan, 2, [[0, a13], [1, a13]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
90. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a14","b14"],"tape_alphabet":["a14","b14","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a14","scan","a14","R"],["scan","b14","accept","b14","S"],["scan","_","scan","_","S"]],"target_symbol":"b14","input":["a14","a14"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a14, b14], [_, a14, b14], [[scan, _, scan, _, S], [scan, a14, scan, a14, R], [scan, b14, accept, b14, S]], b14, [a14, a14], [scan, 2, [[0, a14], [1, a14]]], [scan, 2, [[0, a14], [1, a14]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a14, b14], [_, a14, b14], [[scan, _, scan, _, S], [scan, a14, scan, a14, R], [scan, b14, accept, b14, S]], b14, [a14, a14], [scan, 2, [[0, a14], [1, a14]]], [scan, 2, [[0, a14], [1, a14]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
91. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a15","b15"],"tape_alphabet":["a15","b15","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a15","scan","a15","R"],["scan","b15","accept","b15","S"],["scan","_","scan","_","S"]],"target_symbol":"b15","input":["a15","a15"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a15, b15], [_, a15, b15], [[scan, _, scan, _, S], [scan, a15, scan, a15, R], [scan, b15, accept, b15, S]], b15, [a15, a15], [scan, 2, [[0, a15], [1, a15]]], [scan, 2, [[0, a15], [1, a15]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a15, b15], [_, a15, b15], [[scan, _, scan, _, S], [scan, a15, scan, a15, R], [scan, b15, accept, b15, S]], b15, [a15, a15], [scan, 2, [[0, a15], [1, a15]]], [scan, 2, [[0, a15], [1, a15]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
92. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a16","b16"],"tape_alphabet":["a16","b16","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a16","scan","a16","R"],["scan","b16","accept","b16","S"],["scan","_","scan","_","S"]],"target_symbol":"b16","input":["a16","a16"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a16, b16], [_, a16, b16], [[scan, _, scan, _, S], [scan, a16, scan, a16, R], [scan, b16, accept, b16, S]], b16, [a16, a16], [scan, 2, [[0, a16], [1, a16]]], [scan, 2, [[0, a16], [1, a16]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a16, b16], [_, a16, b16], [[scan, _, scan, _, S], [scan, a16, scan, a16, R], [scan, b16, accept, b16, S]], b16, [a16, a16], [scan, 2, [[0, a16], [1, a16]]], [scan, 2, [[0, a16], [1, a16]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
93. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a17","b17"],"tape_alphabet":["a17","b17","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a17","scan","a17","R"],["scan","b17","accept","b17","S"],["scan","_","scan","_","S"]],"target_symbol":"b17","input":["a17","a17"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a17, b17], [_, a17, b17], [[scan, _, scan, _, S], [scan, a17, scan, a17, R], [scan, b17, accept, b17, S]], b17, [a17, a17], [scan, 2, [[0, a17], [1, a17]]], [scan, 2, [[0, a17], [1, a17]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a17, b17], [_, a17, b17], [[scan, _, scan, _, S], [scan, a17, scan, a17, R], [scan, b17, accept, b17, S]], b17, [a17, a17], [scan, 2, [[0, a17], [1, a17]]], [scan, 2, [[0, a17], [1, a17]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
94. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a18","b18"],"tape_alphabet":["a18","b18","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a18","scan","a18","R"],["scan","b18","accept","b18","S"],["scan","_","scan","_","S"]],"target_symbol":"b18","input":["a18","a18"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a18, b18], [_, a18, b18], [[scan, _, scan, _, S], [scan, a18, scan, a18, R], [scan, b18, accept, b18, S]], b18, [a18, a18], [scan, 2, [[0, a18], [1, a18]]], [scan, 2, [[0, a18], [1, a18]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a18, b18], [_, a18, b18], [[scan, _, scan, _, S], [scan, a18, scan, a18, R], [scan, b18, accept, b18, S]], b18, [a18, a18], [scan, 2, [[0, a18], [1, a18]]], [scan, 2, [[0, a18], [1, a18]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
95. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a19","b19"],"tape_alphabet":["a19","b19","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a19","scan","a19","R"],["scan","b19","accept","b19","S"],["scan","_","scan","_","S"]],"target_symbol":"b19","input":["a19","a19"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a19, b19], [_, a19, b19], [[scan, _, scan, _, S], [scan, a19, scan, a19, R], [scan, b19, accept, b19, S]], b19, [a19, a19], [scan, 2, [[0, a19], [1, a19]]], [scan, 2, [[0, a19], [1, a19]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a19, b19], [_, a19, b19], [[scan, _, scan, _, S], [scan, a19, scan, a19, R], [scan, b19, accept, b19, S]], b19, [a19, a19], [scan, 2, [[0, a19], [1, a19]]], [scan, 2, [[0, a19], [1, a19]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
96. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a20","b20"],"tape_alphabet":["a20","b20","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a20","scan","a20","R"],["scan","b20","accept","b20","S"],["scan","_","scan","_","S"]],"target_symbol":"b20","input":["a20","a20"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a20, b20], [_, a20, b20], [[scan, _, scan, _, S], [scan, a20, scan, a20, R], [scan, b20, accept, b20, S]], b20, [a20, a20], [scan, 2, [[0, a20], [1, a20]]], [scan, 2, [[0, a20], [1, a20]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a20, b20], [_, a20, b20], [[scan, _, scan, _, S], [scan, a20, scan, a20, R], [scan, b20, accept, b20, S]], b20, [a20, a20], [scan, 2, [[0, a20], [1, a20]]], [scan, 2, [[0, a20], [1, a20]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
97. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a21","b21"],"tape_alphabet":["a21","b21","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a21","scan","a21","R"],["scan","b21","accept","b21","S"],["scan","_","scan","_","S"]],"target_symbol":"b21","input":["a21","a21"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a21, b21], [_, a21, b21], [[scan, _, scan, _, S], [scan, a21, scan, a21, R], [scan, b21, accept, b21, S]], b21, [a21, a21], [scan, 2, [[0, a21], [1, a21]]], [scan, 2, [[0, a21], [1, a21]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a21, b21], [_, a21, b21], [[scan, _, scan, _, S], [scan, a21, scan, a21, R], [scan, b21, accept, b21, S]], b21, [a21, a21], [scan, 2, [[0, a21], [1, a21]]], [scan, 2, [[0, a21], [1, a21]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
98. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a22","b22"],"tape_alphabet":["a22","b22","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a22","scan","a22","R"],["scan","b22","accept","b22","S"],["scan","_","scan","_","S"]],"target_symbol":"b22","input":["a22","a22"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a22, b22], [_, a22, b22], [[scan, _, scan, _, S], [scan, a22, scan, a22, R], [scan, b22, accept, b22, S]], b22, [a22, a22], [scan, 2, [[0, a22], [1, a22]]], [scan, 2, [[0, a22], [1, a22]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a22, b22], [_, a22, b22], [[scan, _, scan, _, S], [scan, a22, scan, a22, R], [scan, b22, accept, b22, S]], b22, [a22, a22], [scan, 2, [[0, a22], [1, a22]]], [scan, 2, [[0, a22], [1, a22]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
99. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a23","b23"],"tape_alphabet":["a23","b23","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a23","scan","a23","R"],["scan","b23","accept","b23","S"],["scan","_","scan","_","S"]],"target_symbol":"b23","input":["a23","a23"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a23, b23], [_, a23, b23], [[scan, _, scan, _, S], [scan, a23, scan, a23, R], [scan, b23, accept, b23, S]], b23, [a23, a23], [scan, 2, [[0, a23], [1, a23]]], [scan, 2, [[0, a23], [1, a23]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a23, b23], [_, a23, b23], [[scan, _, scan, _, S], [scan, a23, scan, a23, R], [scan, b23, accept, b23, S]], b23, [a23, a23], [scan, 2, [[0, a23], [1, a23]]], [scan, 2, [[0, a23], [1, a23]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
100. Turing機判定模型
deterministic single-tape signature、exact configuration semantics與decider total-correctness boundary。操作=tm-recognizer-loop-boundary；資料={"states":["scan","accept","reject"],"input_alphabet":["a24","b24"],"tape_alphabet":["a24","b24","_"],"blank":"_","start_state":"scan","accept_state":"accept","reject_state":"reject","transitions":[["scan","a24","scan","a24","R"],["scan","b24","accept","b24","S"],["scan","_","scan","_","S"]],"target_symbol":"b24","input":["a24","a24"]}。請依 [states, input_alphabet, tape_alphabet, transitions, target_symbol, input, loop_configuration, next_configuration, exact_self_loop, decider, boundary] 欄序回答。
查看答案與解釋
([accept, reject, scan], [a24, b24], [_, a24, b24], [[scan, _, scan, _, S], [scan, a24, scan, a24, R], [scan, b24, accept, b24, S]], b24, [a24, a24], [scan, 2, [[0, a24], [1, a24]]], [scan, 2, [[0, a24], [1, a24]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)
Wave6第七層核對=([accept, reject, scan], [a24, b24], [_, a24, b24], [[scan, _, scan, _, S], [scan, a24, scan, a24, R], [scan, b24, accept, b24, S]], b24, [a24, a24], [scan, 2, [[0, a24], [1, a24]]], [scan, 2, [[0, a24], [1, a24]]], 是, 否, explicit_blank_self_loop_proves_this_recognizer_is_not_a_decider_on_the_target_free_input)；依完整明示資料獨立重算；finite trace只證指定input；global decider需forall-input ranking/step-bound與answer correctness；recognizer可loop；bounded failure不證reject或nontermination，單一halt trace不證decider。
本題逐步詳解（AI 二次覆核）
Turing機判定模型 · qf-mod44-tm-recognizer-loop-boundary · candidate
原始題目 JSONL · 驗收報告