R0046-23986 · q-20261014-advance-20261112-r07-subset-construction-nfa-to-dfa-0036
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s10","m10","f10","e110","e210","d10"],"alphabet":["a10","b10"],"start_state":"s10","final_states":["f10"],"transitions":[["s10",null,"m10"],["s10",null,"d10"],["m10","a10","m10"],["m10","b10","f10"],["f10",null,"e110"],["e110",null,"e210"]],"subset":["s10","m10","d10"],"symbol":"a10"}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。
G001 — epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s10","m10","f10","e110","e210","d10"],"alphabet":["a10","b10"],"start_state":"s10","final_states":["f10"],"transitions":[["s10",null,"m10"],["s10",null,"d10"],["m10","a10","m10"],["m10","b10","f10"],["f10",null,"e110"],["e110",null,"e210"]],"subset":["s10","m10","d10"],"symbol":"a10"}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。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。
操作前
source operation=subsetdfa-symbol-transition;original snapshot and mathematics retained
操作後
explicit ordered source output fields=[subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate]
條件：無
保留原題介面快照，本頁直接列來源欄序，不需JavaScript。radius由原mode選6／11欄，不補欄；No與實際否定依來源責任分清。
規則：source_ordered_interface_explicit_without_javascript · 依賴：G001
操作前
ORIGINAL states=[s10, m10, f10, e110, e210, d10],alphabet=[a10, b10],start=s10;ORIGINAL transition order=[[s10, null, m10], [s10, null, d10], [m10, a10, m10], [m10, b10, f10], [f10, null, e110], [e110, null, e210]]
操作後
final set normalized UTF16=[f10];states nonempty,alphabet/finals/relation MAYEMPTY;DUPLICATE triples rejected in THIS model
條件：無
此題與前一NFA節點不同：transition triple須唯一，finals須排序。所有subset都是真carrier子集合；不偷用舊wrapper的duplicate／final-order慣例。
規則：subsetdfa_qualified_NFA_signature_DUPLICATE_edges_REJECTED_here · 依賴：G001, S001
操作前
Subset DFA ORIGINAL one-symbol transition:EXACT ORIGINAL supplied S=[d10, m10, s10];symbol=a10;ALL matching ORIGINAL edge rows=[[2, m10, m10]]
操作後
direct symbol targets=[m10];NO EPS preclosure inserted into S;now close ONLY these targets
條件：無
任意給定S未必已EPS-closed，先preclose會改本題運算；定義明示先move(S,a)再closure。empty move得到合法empty dead state。
規則：subsetdfa_GIVEN_S_symbol_move_BEFORE_closure_NO_preclose · 依賴：G001, S002
操作前
Subset DFA ORIGINAL one-symbol transition post-symbol EPS closure:stage=0;seed set=[m10];previous set=[m10]
操作後
ALL [ORIGINAL edge index,from,to,enabled] EPS rows=[[0, s10, m10, 否], [1, s10, d10, 否], [4, f10, e110, 否], [5, e110, e210, 否]];next set=[m10];stable=是
條件：無
新增state都有前一層有限EPS路徑，任何含seed的EPS封閉集合都必含每層；有限states使飽和終止，得到完整且最小closure，不消耗input。
規則：subsetdfa_ALL_EPS_fixedpoint_reachability_not_input_consumption · 依賴：G001, S003
S004 · 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。S003 · 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。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。([d10, m10, s10], a10, [m10], [m10], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
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。
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。
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: fee5044685e3ef054057b094ab75a4a9b8549e99263b7b6a1b0eeeb4cbad32b6candidate record SHA-256: 35155d2897a844e28c2b4d1f220ab2a7b2e5f8301f853941f7b7d894a7e96ea0semantic review receipt SHA-256: a7c0d888ade6d307703c4222c4137c78c0d2448babdcba2fa3446fe6fdd343c1question-first witness SHA-256: c9571f97a37d503ad6a61034cc00108543a05c37ef246d1c4962f55136a3de02Lean: NOT_RUN · human review: NOT_PERFORMED