第 24787 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":["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 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":["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 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 = [[q011, q111, qa11, qr11], [011], [011, X11, _11], _11, q011, qa11, qr11, [[q011, 011, q111, X11, R], [q011, _11, qr11, _11, S], [q111, _11, qa11, _11, L]]]

derived = [[q011, q111, qa11, qr11], [011], [011, X11, _11], [[q011, _11, qr11, _11, S], [q011, 011, q111, X11, R], [q111, _11, qa11, _11, 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

([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。