第 24779 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":["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 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":["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 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 = [[q03, q13, qa3, qr3], [03], [03, X3, _3], _3, q03, qa3, qr3, [[q03, 03, q13, X3, R], [q03, _3, qr3, _3, S], [q13, _3, qa3, _3, L]]]

derived = [[q03, q13, qa3, qr3], [03], [03, X3, _3], [[q03, _3, qr3, _3, S], [q03, 03, q13, X3, R], [q13, _3, qa3, _3, 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

([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。