第 24778 題：Turing機判定模型

原題與已知條件

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 exact_ordered_tuple_declared_by_interface 欄序回答。

• G001 — 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 exact_ordered_tuple_declared_by_interface 欄序回答。

定義與適用範圍

沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。

• mko-turing-machine-decision-model

逐步推導

source roles = [tm-signature-qualification]

derived = [[states, input_alphabet, tape_alphabet, blank, start, accept, reject, transitions, qualified, convention]]

source roles = [[q02, q12, qa2, qr2], [02], [02, X2, _2], _2, q02, qa2, qr2, [[q02, 02, q12, X2, R], [q02, _2, qr2, _2, S], [q12, _2, qa2, _2, L]]]

derived = [[q02, q12, qa2, qr2], [02], [02, X2, _2], [[q02, _2, qr2, _2, S], [q02, 02, q12, X2, R], [q12, _2, qa2, _2, L]], 是]

逐步反向核對

• S002 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。
• S001 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。

結論

([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)

依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。

本題覆核與來源綁定

覆核日期：2026-10-26

原題、答案、步驟表達式、數值 AST 與既有歷史保持原樣；原來的候選狀態屬於來源歷史，不覆寫為形式化證明。