NFA到DFA的子集合構造基礎 · 脈衝 R07
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-20261014-advance-20261112-r07-subset-construction-nfa-to-dfa-foundations · 2026-10-14 · 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. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s0","m0","f0","e10","e20","d0"],"alphabet":["a0","b0"],"start_state":"s0","final_states":["f0"],"transitions":[["s0",null,"m0"],["s0",null,"d0"],["m0","a0","m0"],["m0","b0","f0"],["f0",null,"e10"],["e10",null,"e20"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s0, [d0, m0, s0], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s0, [d0, m0, s0], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
2. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s1","m1","f1","e11","e21","d1"],"alphabet":["a1","b1"],"start_state":"s1","final_states":["f1"],"transitions":[["s1",null,"m1"],["s1",null,"d1"],["m1","a1","m1"],["m1","b1","f1"],["f1",null,"e11"],["e11",null,"e21"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s1, [d1, m1, s1], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s1, [d1, m1, s1], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
3. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s2","m2","f2","e12","e22","d2"],"alphabet":["a2","b2"],"start_state":"s2","final_states":["f2"],"transitions":[["s2",null,"m2"],["s2",null,"d2"],["m2","a2","m2"],["m2","b2","f2"],["f2",null,"e12"],["e12",null,"e22"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s2, [d2, m2, s2], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s2, [d2, m2, s2], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
4. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s3","m3","f3","e13","e23","d3"],"alphabet":["a3","b3"],"start_state":"s3","final_states":["f3"],"transitions":[["s3",null,"m3"],["s3",null,"d3"],["m3","a3","m3"],["m3","b3","f3"],["f3",null,"e13"],["e13",null,"e23"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s3, [d3, m3, s3], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s3, [d3, m3, s3], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
5. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s4","m4","f4","e14","e24","d4"],"alphabet":["a4","b4"],"start_state":"s4","final_states":["f4"],"transitions":[["s4",null,"m4"],["s4",null,"d4"],["m4","a4","m4"],["m4","b4","f4"],["f4",null,"e14"],["e14",null,"e24"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s4, [d4, m4, s4], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s4, [d4, m4, s4], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
6. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s5","m5","f5","e15","e25","d5"],"alphabet":["a5","b5"],"start_state":"s5","final_states":["f5"],"transitions":[["s5",null,"m5"],["s5",null,"d5"],["m5","a5","m5"],["m5","b5","f5"],["f5",null,"e15"],["e15",null,"e25"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s5, [d5, m5, s5], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s5, [d5, m5, s5], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
7. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s6","m6","f6","e16","e26","d6"],"alphabet":["a6","b6"],"start_state":"s6","final_states":["f6"],"transitions":[["s6",null,"m6"],["s6",null,"d6"],["m6","a6","m6"],["m6","b6","f6"],["f6",null,"e16"],["e16",null,"e26"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s6, [d6, m6, s6], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s6, [d6, m6, s6], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
8. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s7","m7","f7","e17","e27","d7"],"alphabet":["a7","b7"],"start_state":"s7","final_states":["f7"],"transitions":[["s7",null,"m7"],["s7",null,"d7"],["m7","a7","m7"],["m7","b7","f7"],["f7",null,"e17"],["e17",null,"e27"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s7, [d7, m7, s7], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s7, [d7, m7, s7], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
9. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s8","m8","f8","e18","e28","d8"],"alphabet":["a8","b8"],"start_state":"s8","final_states":["f8"],"transitions":[["s8",null,"m8"],["s8",null,"d8"],["m8","a8","m8"],["m8","b8","f8"],["f8",null,"e18"],["e18",null,"e28"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s8, [d8, m8, s8], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s8, [d8, m8, s8], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
10. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s9","m9","f9","e19","e29","d9"],"alphabet":["a9","b9"],"start_state":"s9","final_states":["f9"],"transitions":[["s9",null,"m9"],["s9",null,"d9"],["m9","a9","m9"],["m9","b9","f9"],["f9",null,"e19"],["e19",null,"e29"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s9, [d9, m9, s9], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s9, [d9, m9, s9], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
11. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；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"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s10, [d10, m10, s10], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s10, [d10, m10, s10], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
12. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s11","m11","f11","e111","e211","d11"],"alphabet":["a11","b11"],"start_state":"s11","final_states":["f11"],"transitions":[["s11",null,"m11"],["s11",null,"d11"],["m11","a11","m11"],["m11","b11","f11"],["f11",null,"e111"],["e111",null,"e211"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s11, [d11, m11, s11], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s11, [d11, m11, s11], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
13. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s12","m12","f12","e112","e212","d12"],"alphabet":["a12","b12"],"start_state":"s12","final_states":["f12"],"transitions":[["s12",null,"m12"],["s12",null,"d12"],["m12","a12","m12"],["m12","b12","f12"],["f12",null,"e112"],["e112",null,"e212"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s12, [d12, m12, s12], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s12, [d12, m12, s12], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
14. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s13","m13","f13","e113","e213","d13"],"alphabet":["a13","b13"],"start_state":"s13","final_states":["f13"],"transitions":[["s13",null,"m13"],["s13",null,"d13"],["m13","a13","m13"],["m13","b13","f13"],["f13",null,"e113"],["e113",null,"e213"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s13, [d13, m13, s13], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s13, [d13, m13, s13], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
15. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s14","m14","f14","e114","e214","d14"],"alphabet":["a14","b14"],"start_state":"s14","final_states":["f14"],"transitions":[["s14",null,"m14"],["s14",null,"d14"],["m14","a14","m14"],["m14","b14","f14"],["f14",null,"e114"],["e114",null,"e214"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s14, [d14, m14, s14], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s14, [d14, m14, s14], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
16. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s15","m15","f15","e115","e215","d15"],"alphabet":["a15","b15"],"start_state":"s15","final_states":["f15"],"transitions":[["s15",null,"m15"],["s15",null,"d15"],["m15","a15","m15"],["m15","b15","f15"],["f15",null,"e115"],["e115",null,"e215"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s15, [d15, m15, s15], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s15, [d15, m15, s15], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
17. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s16","m16","f16","e116","e216","d16"],"alphabet":["a16","b16"],"start_state":"s16","final_states":["f16"],"transitions":[["s16",null,"m16"],["s16",null,"d16"],["m16","a16","m16"],["m16","b16","f16"],["f16",null,"e116"],["e116",null,"e216"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s16, [d16, m16, s16], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s16, [d16, m16, s16], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
18. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s17","m17","f17","e117","e217","d17"],"alphabet":["a17","b17"],"start_state":"s17","final_states":["f17"],"transitions":[["s17",null,"m17"],["s17",null,"d17"],["m17","a17","m17"],["m17","b17","f17"],["f17",null,"e117"],["e117",null,"e217"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s17, [d17, m17, s17], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s17, [d17, m17, s17], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
19. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s18","m18","f18","e118","e218","d18"],"alphabet":["a18","b18"],"start_state":"s18","final_states":["f18"],"transitions":[["s18",null,"m18"],["s18",null,"d18"],["m18","a18","m18"],["m18","b18","f18"],["f18",null,"e118"],["e118",null,"e218"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s18, [d18, m18, s18], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s18, [d18, m18, s18], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
20. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s19","m19","f19","e119","e219","d19"],"alphabet":["a19","b19"],"start_state":"s19","final_states":["f19"],"transitions":[["s19",null,"m19"],["s19",null,"d19"],["m19","a19","m19"],["m19","b19","f19"],["f19",null,"e119"],["e119",null,"e219"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s19, [d19, m19, s19], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s19, [d19, m19, s19], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
21. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s20","m20","f20","e120","e220","d20"],"alphabet":["a20","b20"],"start_state":"s20","final_states":["f20"],"transitions":[["s20",null,"m20"],["s20",null,"d20"],["m20","a20","m20"],["m20","b20","f20"],["f20",null,"e120"],["e120",null,"e220"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s20, [d20, m20, s20], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s20, [d20, m20, s20], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
22. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s21","m21","f21","e121","e221","d21"],"alphabet":["a21","b21"],"start_state":"s21","final_states":["f21"],"transitions":[["s21",null,"m21"],["s21",null,"d21"],["m21","a21","m21"],["m21","b21","f21"],["f21",null,"e121"],["e121",null,"e221"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s21, [d21, m21, s21], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s21, [d21, m21, s21], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
23. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s22","m22","f22","e122","e222","d22"],"alphabet":["a22","b22"],"start_state":"s22","final_states":["f22"],"transitions":[["s22",null,"m22"],["s22",null,"d22"],["m22","a22","m22"],["m22","b22","f22"],["f22",null,"e122"],["e122",null,"e222"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s22, [d22, m22, s22], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s22, [d22, m22, s22], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
24. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s23","m23","f23","e123","e223","d23"],"alphabet":["a23","b23"],"start_state":"s23","final_states":["f23"],"transitions":[["s23",null,"m23"],["s23",null,"d23"],["m23","a23","m23"],["m23","b23","f23"],["f23",null,"e123"],["e123",null,"e223"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s23, [d23, m23, s23], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s23, [d23, m23, s23], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
25. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-epsilon-start；資料={"states":["s24","m24","f24","e124","e224","d24"],"alphabet":["a24","b24"],"start_state":"s24","final_states":["f24"],"transitions":[["s24",null,"m24"],["s24",null,"d24"],["m24","a24","m24"],["m24","b24","f24"],["f24",null,"e124"],["e124",null,"e224"]]}。請依 [NFA_start, DFA_start_subset, epsilon_closed_certificate, certificate] 欄序回答。
查看答案與解釋
(s24, [d24, m24, s24], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)
Wave6第六層核對=(s24, [d24, m24, s24], 是, DFA_start_is_epsilon_closure_of_the_NFA_start_singleton)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-epsilon-start · candidate
26. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s0","m0","f0","e10","e20","d0"],"alphabet":["a0","b0"],"start_state":"s0","final_states":["f0"],"transitions":[["s0",null,"m0"],["s0",null,"d0"],["m0","a0","m0"],["m0","b0","f0"],["f0",null,"e10"],["e10",null,"e20"]],"subset":["s0","m0","d0"],"symbol":"a0"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d0, m0, s0], a0, [m0], [m0], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d0, m0, s0], a0, [m0], [m0], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
27. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s1","m1","f1","e11","e21","d1"],"alphabet":["a1","b1"],"start_state":"s1","final_states":["f1"],"transitions":[["s1",null,"m1"],["s1",null,"d1"],["m1","a1","m1"],["m1","b1","f1"],["f1",null,"e11"],["e11",null,"e21"]],"subset":["s1","m1","d1"],"symbol":"b1"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d1, m1, s1], b1, [f1], [e11, e21, f1], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d1, m1, s1], b1, [f1], [e11, e21, f1], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
28. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s2","m2","f2","e12","e22","d2"],"alphabet":["a2","b2"],"start_state":"s2","final_states":["f2"],"transitions":[["s2",null,"m2"],["s2",null,"d2"],["m2","a2","m2"],["m2","b2","f2"],["f2",null,"e12"],["e12",null,"e22"]],"subset":["s2","m2","d2"],"symbol":"a2"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d2, m2, s2], a2, [m2], [m2], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d2, m2, s2], a2, [m2], [m2], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
29. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s3","m3","f3","e13","e23","d3"],"alphabet":["a3","b3"],"start_state":"s3","final_states":["f3"],"transitions":[["s3",null,"m3"],["s3",null,"d3"],["m3","a3","m3"],["m3","b3","f3"],["f3",null,"e13"],["e13",null,"e23"]],"subset":["s3","m3","d3"],"symbol":"b3"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d3, m3, s3], b3, [f3], [e13, e23, f3], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d3, m3, s3], b3, [f3], [e13, e23, f3], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
30. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s4","m4","f4","e14","e24","d4"],"alphabet":["a4","b4"],"start_state":"s4","final_states":["f4"],"transitions":[["s4",null,"m4"],["s4",null,"d4"],["m4","a4","m4"],["m4","b4","f4"],["f4",null,"e14"],["e14",null,"e24"]],"subset":["s4","m4","d4"],"symbol":"a4"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d4, m4, s4], a4, [m4], [m4], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d4, m4, s4], a4, [m4], [m4], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
31. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s5","m5","f5","e15","e25","d5"],"alphabet":["a5","b5"],"start_state":"s5","final_states":["f5"],"transitions":[["s5",null,"m5"],["s5",null,"d5"],["m5","a5","m5"],["m5","b5","f5"],["f5",null,"e15"],["e15",null,"e25"]],"subset":["s5","m5","d5"],"symbol":"b5"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d5, m5, s5], b5, [f5], [e15, e25, f5], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d5, m5, s5], b5, [f5], [e15, e25, f5], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
32. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s6","m6","f6","e16","e26","d6"],"alphabet":["a6","b6"],"start_state":"s6","final_states":["f6"],"transitions":[["s6",null,"m6"],["s6",null,"d6"],["m6","a6","m6"],["m6","b6","f6"],["f6",null,"e16"],["e16",null,"e26"]],"subset":["s6","m6","d6"],"symbol":"a6"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d6, m6, s6], a6, [m6], [m6], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d6, m6, s6], a6, [m6], [m6], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
33. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s7","m7","f7","e17","e27","d7"],"alphabet":["a7","b7"],"start_state":"s7","final_states":["f7"],"transitions":[["s7",null,"m7"],["s7",null,"d7"],["m7","a7","m7"],["m7","b7","f7"],["f7",null,"e17"],["e17",null,"e27"]],"subset":["s7","m7","d7"],"symbol":"b7"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d7, m7, s7], b7, [f7], [e17, e27, f7], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d7, m7, s7], b7, [f7], [e17, e27, f7], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
34. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s8","m8","f8","e18","e28","d8"],"alphabet":["a8","b8"],"start_state":"s8","final_states":["f8"],"transitions":[["s8",null,"m8"],["s8",null,"d8"],["m8","a8","m8"],["m8","b8","f8"],["f8",null,"e18"],["e18",null,"e28"]],"subset":["s8","m8","d8"],"symbol":"a8"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d8, m8, s8], a8, [m8], [m8], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d8, m8, s8], a8, [m8], [m8], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
35. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s9","m9","f9","e19","e29","d9"],"alphabet":["a9","b9"],"start_state":"s9","final_states":["f9"],"transitions":[["s9",null,"m9"],["s9",null,"d9"],["m9","a9","m9"],["m9","b9","f9"],["f9",null,"e19"],["e19",null,"e29"]],"subset":["s9","m9","d9"],"symbol":"b9"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d9, m9, s9], b9, [f9], [e19, e29, f9], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d9, m9, s9], b9, [f9], [e19, e29, f9], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
36. NFA到DFA的子集合構造
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 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d10, m10, s10], a10, [m10], [m10], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d10, m10, s10], a10, [m10], [m10], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
37. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s11","m11","f11","e111","e211","d11"],"alphabet":["a11","b11"],"start_state":"s11","final_states":["f11"],"transitions":[["s11",null,"m11"],["s11",null,"d11"],["m11","a11","m11"],["m11","b11","f11"],["f11",null,"e111"],["e111",null,"e211"]],"subset":["s11","m11","d11"],"symbol":"b11"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d11, m11, s11], b11, [f11], [e111, e211, f11], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d11, m11, s11], b11, [f11], [e111, e211, f11], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
38. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s12","m12","f12","e112","e212","d12"],"alphabet":["a12","b12"],"start_state":"s12","final_states":["f12"],"transitions":[["s12",null,"m12"],["s12",null,"d12"],["m12","a12","m12"],["m12","b12","f12"],["f12",null,"e112"],["e112",null,"e212"]],"subset":["s12","m12","d12"],"symbol":"a12"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d12, m12, s12], a12, [m12], [m12], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d12, m12, s12], a12, [m12], [m12], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
39. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s13","m13","f13","e113","e213","d13"],"alphabet":["a13","b13"],"start_state":"s13","final_states":["f13"],"transitions":[["s13",null,"m13"],["s13",null,"d13"],["m13","a13","m13"],["m13","b13","f13"],["f13",null,"e113"],["e113",null,"e213"]],"subset":["s13","m13","d13"],"symbol":"b13"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d13, m13, s13], b13, [f13], [e113, e213, f13], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d13, m13, s13], b13, [f13], [e113, e213, f13], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
40. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s14","m14","f14","e114","e214","d14"],"alphabet":["a14","b14"],"start_state":"s14","final_states":["f14"],"transitions":[["s14",null,"m14"],["s14",null,"d14"],["m14","a14","m14"],["m14","b14","f14"],["f14",null,"e114"],["e114",null,"e214"]],"subset":["s14","m14","d14"],"symbol":"a14"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d14, m14, s14], a14, [m14], [m14], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d14, m14, s14], a14, [m14], [m14], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
41. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s15","m15","f15","e115","e215","d15"],"alphabet":["a15","b15"],"start_state":"s15","final_states":["f15"],"transitions":[["s15",null,"m15"],["s15",null,"d15"],["m15","a15","m15"],["m15","b15","f15"],["f15",null,"e115"],["e115",null,"e215"]],"subset":["s15","m15","d15"],"symbol":"b15"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d15, m15, s15], b15, [f15], [e115, e215, f15], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d15, m15, s15], b15, [f15], [e115, e215, f15], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
42. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s16","m16","f16","e116","e216","d16"],"alphabet":["a16","b16"],"start_state":"s16","final_states":["f16"],"transitions":[["s16",null,"m16"],["s16",null,"d16"],["m16","a16","m16"],["m16","b16","f16"],["f16",null,"e116"],["e116",null,"e216"]],"subset":["s16","m16","d16"],"symbol":"a16"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d16, m16, s16], a16, [m16], [m16], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d16, m16, s16], a16, [m16], [m16], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
43. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s17","m17","f17","e117","e217","d17"],"alphabet":["a17","b17"],"start_state":"s17","final_states":["f17"],"transitions":[["s17",null,"m17"],["s17",null,"d17"],["m17","a17","m17"],["m17","b17","f17"],["f17",null,"e117"],["e117",null,"e217"]],"subset":["s17","m17","d17"],"symbol":"b17"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d17, m17, s17], b17, [f17], [e117, e217, f17], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d17, m17, s17], b17, [f17], [e117, e217, f17], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
44. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s18","m18","f18","e118","e218","d18"],"alphabet":["a18","b18"],"start_state":"s18","final_states":["f18"],"transitions":[["s18",null,"m18"],["s18",null,"d18"],["m18","a18","m18"],["m18","b18","f18"],["f18",null,"e118"],["e118",null,"e218"]],"subset":["s18","m18","d18"],"symbol":"a18"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d18, m18, s18], a18, [m18], [m18], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d18, m18, s18], a18, [m18], [m18], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
45. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s19","m19","f19","e119","e219","d19"],"alphabet":["a19","b19"],"start_state":"s19","final_states":["f19"],"transitions":[["s19",null,"m19"],["s19",null,"d19"],["m19","a19","m19"],["m19","b19","f19"],["f19",null,"e119"],["e119",null,"e219"]],"subset":["s19","m19","d19"],"symbol":"b19"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d19, m19, s19], b19, [f19], [e119, e219, f19], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d19, m19, s19], b19, [f19], [e119, e219, f19], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
46. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s20","m20","f20","e120","e220","d20"],"alphabet":["a20","b20"],"start_state":"s20","final_states":["f20"],"transitions":[["s20",null,"m20"],["s20",null,"d20"],["m20","a20","m20"],["m20","b20","f20"],["f20",null,"e120"],["e120",null,"e220"]],"subset":["s20","m20","d20"],"symbol":"a20"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d20, m20, s20], a20, [m20], [m20], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d20, m20, s20], a20, [m20], [m20], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
47. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s21","m21","f21","e121","e221","d21"],"alphabet":["a21","b21"],"start_state":"s21","final_states":["f21"],"transitions":[["s21",null,"m21"],["s21",null,"d21"],["m21","a21","m21"],["m21","b21","f21"],["f21",null,"e121"],["e121",null,"e221"]],"subset":["s21","m21","d21"],"symbol":"b21"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d21, m21, s21], b21, [f21], [e121, e221, f21], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d21, m21, s21], b21, [f21], [e121, e221, f21], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
48. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s22","m22","f22","e122","e222","d22"],"alphabet":["a22","b22"],"start_state":"s22","final_states":["f22"],"transitions":[["s22",null,"m22"],["s22",null,"d22"],["m22","a22","m22"],["m22","b22","f22"],["f22",null,"e122"],["e122",null,"e222"]],"subset":["s22","m22","d22"],"symbol":"a22"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d22, m22, s22], a22, [m22], [m22], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d22, m22, s22], a22, [m22], [m22], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
49. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s23","m23","f23","e123","e223","d23"],"alphabet":["a23","b23"],"start_state":"s23","final_states":["f23"],"transitions":[["s23",null,"m23"],["s23",null,"d23"],["m23","a23","m23"],["m23","b23","f23"],["f23",null,"e123"],["e123",null,"e223"]],"subset":["s23","m23","d23"],"symbol":"b23"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d23, m23, s23], b23, [f23], [e123, e223, f23], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d23, m23, s23], b23, [f23], [e123, e223, f23], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
50. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-symbol-transition；資料={"states":["s24","m24","f24","e124","e224","d24"],"alphabet":["a24","b24"],"start_state":"s24","final_states":["f24"],"transitions":[["s24",null,"m24"],["s24",null,"d24"],["m24","a24","m24"],["m24","b24","f24"],["f24",null,"e124"],["e124",null,"e224"]],"subset":["s24","m24","d24"],"symbol":"a24"}。請依 [subset, symbol, symbol_targets, epsilon_closed_targets, empty_dead_state, certificate] 欄序回答。
對給定S依序做move(S,a)再closure；不偷偷先把任意S取closure。從epsilon-closed start讀字的reachable subsets另由prefix invariant約束。
查看答案與解釋
([d24, m24, s24], a24, [m24], [m24], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)
Wave6第六層核對=([d24, m24, s24], a24, [m24], [m24], 否, delta_D_equals_epsilon_closure_after_symbol_move_and_empty_subset_is_a_legal_dead_state)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-symbol-transition · candidate
51. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s0","m0","f0","e10","e20","d0"],"alphabet":["a0","b0"],"start_state":"s0","final_states":["f0"],"transitions":[["s0",null,"m0"],["s0",null,"d0"],["m0","a0","m0"],["m0","b0","f0"],["f0",null,"e10"],["e10",null,"e20"]],"subset":["f0","m0"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f0, m0], [f0], [f0], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f0, m0], [f0], [f0], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
52. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s1","m1","f1","e11","e21","d1"],"alphabet":["a1","b1"],"start_state":"s1","final_states":["f1"],"transitions":[["s1",null,"m1"],["s1",null,"d1"],["m1","a1","m1"],["m1","b1","f1"],["f1",null,"e11"],["e11",null,"e21"]],"subset":["m1","d1"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d1, m1], [f1], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d1, m1], [f1], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
53. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s2","m2","f2","e12","e22","d2"],"alphabet":["a2","b2"],"start_state":"s2","final_states":["f2"],"transitions":[["s2",null,"m2"],["s2",null,"d2"],["m2","a2","m2"],["m2","b2","f2"],["f2",null,"e12"],["e12",null,"e22"]],"subset":["f2","m2"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f2, m2], [f2], [f2], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f2, m2], [f2], [f2], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
54. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s3","m3","f3","e13","e23","d3"],"alphabet":["a3","b3"],"start_state":"s3","final_states":["f3"],"transitions":[["s3",null,"m3"],["s3",null,"d3"],["m3","a3","m3"],["m3","b3","f3"],["f3",null,"e13"],["e13",null,"e23"]],"subset":["m3","d3"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d3, m3], [f3], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d3, m3], [f3], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
55. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s4","m4","f4","e14","e24","d4"],"alphabet":["a4","b4"],"start_state":"s4","final_states":["f4"],"transitions":[["s4",null,"m4"],["s4",null,"d4"],["m4","a4","m4"],["m4","b4","f4"],["f4",null,"e14"],["e14",null,"e24"]],"subset":["f4","m4"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f4, m4], [f4], [f4], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f4, m4], [f4], [f4], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
56. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s5","m5","f5","e15","e25","d5"],"alphabet":["a5","b5"],"start_state":"s5","final_states":["f5"],"transitions":[["s5",null,"m5"],["s5",null,"d5"],["m5","a5","m5"],["m5","b5","f5"],["f5",null,"e15"],["e15",null,"e25"]],"subset":["m5","d5"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d5, m5], [f5], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d5, m5], [f5], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
57. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s6","m6","f6","e16","e26","d6"],"alphabet":["a6","b6"],"start_state":"s6","final_states":["f6"],"transitions":[["s6",null,"m6"],["s6",null,"d6"],["m6","a6","m6"],["m6","b6","f6"],["f6",null,"e16"],["e16",null,"e26"]],"subset":["f6","m6"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f6, m6], [f6], [f6], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f6, m6], [f6], [f6], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
58. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s7","m7","f7","e17","e27","d7"],"alphabet":["a7","b7"],"start_state":"s7","final_states":["f7"],"transitions":[["s7",null,"m7"],["s7",null,"d7"],["m7","a7","m7"],["m7","b7","f7"],["f7",null,"e17"],["e17",null,"e27"]],"subset":["m7","d7"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d7, m7], [f7], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d7, m7], [f7], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
59. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s8","m8","f8","e18","e28","d8"],"alphabet":["a8","b8"],"start_state":"s8","final_states":["f8"],"transitions":[["s8",null,"m8"],["s8",null,"d8"],["m8","a8","m8"],["m8","b8","f8"],["f8",null,"e18"],["e18",null,"e28"]],"subset":["f8","m8"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f8, m8], [f8], [f8], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f8, m8], [f8], [f8], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
60. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s9","m9","f9","e19","e29","d9"],"alphabet":["a9","b9"],"start_state":"s9","final_states":["f9"],"transitions":[["s9",null,"m9"],["s9",null,"d9"],["m9","a9","m9"],["m9","b9","f9"],["f9",null,"e19"],["e19",null,"e29"]],"subset":["m9","d9"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d9, m9], [f9], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d9, m9], [f9], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
61. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；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":["f10","m10"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f10, m10], [f10], [f10], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f10, m10], [f10], [f10], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
62. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s11","m11","f11","e111","e211","d11"],"alphabet":["a11","b11"],"start_state":"s11","final_states":["f11"],"transitions":[["s11",null,"m11"],["s11",null,"d11"],["m11","a11","m11"],["m11","b11","f11"],["f11",null,"e111"],["e111",null,"e211"]],"subset":["m11","d11"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d11, m11], [f11], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d11, m11], [f11], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
63. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s12","m12","f12","e112","e212","d12"],"alphabet":["a12","b12"],"start_state":"s12","final_states":["f12"],"transitions":[["s12",null,"m12"],["s12",null,"d12"],["m12","a12","m12"],["m12","b12","f12"],["f12",null,"e112"],["e112",null,"e212"]],"subset":["f12","m12"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f12, m12], [f12], [f12], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f12, m12], [f12], [f12], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
64. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s13","m13","f13","e113","e213","d13"],"alphabet":["a13","b13"],"start_state":"s13","final_states":["f13"],"transitions":[["s13",null,"m13"],["s13",null,"d13"],["m13","a13","m13"],["m13","b13","f13"],["f13",null,"e113"],["e113",null,"e213"]],"subset":["m13","d13"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d13, m13], [f13], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d13, m13], [f13], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
65. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s14","m14","f14","e114","e214","d14"],"alphabet":["a14","b14"],"start_state":"s14","final_states":["f14"],"transitions":[["s14",null,"m14"],["s14",null,"d14"],["m14","a14","m14"],["m14","b14","f14"],["f14",null,"e114"],["e114",null,"e214"]],"subset":["f14","m14"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f14, m14], [f14], [f14], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f14, m14], [f14], [f14], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
66. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s15","m15","f15","e115","e215","d15"],"alphabet":["a15","b15"],"start_state":"s15","final_states":["f15"],"transitions":[["s15",null,"m15"],["s15",null,"d15"],["m15","a15","m15"],["m15","b15","f15"],["f15",null,"e115"],["e115",null,"e215"]],"subset":["m15","d15"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d15, m15], [f15], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d15, m15], [f15], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
67. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s16","m16","f16","e116","e216","d16"],"alphabet":["a16","b16"],"start_state":"s16","final_states":["f16"],"transitions":[["s16",null,"m16"],["s16",null,"d16"],["m16","a16","m16"],["m16","b16","f16"],["f16",null,"e116"],["e116",null,"e216"]],"subset":["f16","m16"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f16, m16], [f16], [f16], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f16, m16], [f16], [f16], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
68. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s17","m17","f17","e117","e217","d17"],"alphabet":["a17","b17"],"start_state":"s17","final_states":["f17"],"transitions":[["s17",null,"m17"],["s17",null,"d17"],["m17","a17","m17"],["m17","b17","f17"],["f17",null,"e117"],["e117",null,"e217"]],"subset":["m17","d17"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d17, m17], [f17], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d17, m17], [f17], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
69. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s18","m18","f18","e118","e218","d18"],"alphabet":["a18","b18"],"start_state":"s18","final_states":["f18"],"transitions":[["s18",null,"m18"],["s18",null,"d18"],["m18","a18","m18"],["m18","b18","f18"],["f18",null,"e118"],["e118",null,"e218"]],"subset":["f18","m18"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f18, m18], [f18], [f18], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f18, m18], [f18], [f18], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
70. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s19","m19","f19","e119","e219","d19"],"alphabet":["a19","b19"],"start_state":"s19","final_states":["f19"],"transitions":[["s19",null,"m19"],["s19",null,"d19"],["m19","a19","m19"],["m19","b19","f19"],["f19",null,"e119"],["e119",null,"e219"]],"subset":["m19","d19"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d19, m19], [f19], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d19, m19], [f19], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
71. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s20","m20","f20","e120","e220","d20"],"alphabet":["a20","b20"],"start_state":"s20","final_states":["f20"],"transitions":[["s20",null,"m20"],["s20",null,"d20"],["m20","a20","m20"],["m20","b20","f20"],["f20",null,"e120"],["e120",null,"e220"]],"subset":["f20","m20"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f20, m20], [f20], [f20], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f20, m20], [f20], [f20], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
72. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s21","m21","f21","e121","e221","d21"],"alphabet":["a21","b21"],"start_state":"s21","final_states":["f21"],"transitions":[["s21",null,"m21"],["s21",null,"d21"],["m21","a21","m21"],["m21","b21","f21"],["f21",null,"e121"],["e121",null,"e221"]],"subset":["m21","d21"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d21, m21], [f21], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d21, m21], [f21], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
73. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s22","m22","f22","e122","e222","d22"],"alphabet":["a22","b22"],"start_state":"s22","final_states":["f22"],"transitions":[["s22",null,"m22"],["s22",null,"d22"],["m22","a22","m22"],["m22","b22","f22"],["f22",null,"e122"],["e122",null,"e222"]],"subset":["f22","m22"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f22, m22], [f22], [f22], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f22, m22], [f22], [f22], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
74. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s23","m23","f23","e123","e223","d23"],"alphabet":["a23","b23"],"start_state":"s23","final_states":["f23"],"transitions":[["s23",null,"m23"],["s23",null,"d23"],["m23","a23","m23"],["m23","b23","f23"],["f23",null,"e123"],["e123",null,"e223"]],"subset":["m23","d23"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([d23, m23], [f23], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([d23, m23], [f23], [], 否, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
75. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-accepting-subset；資料={"states":["s24","m24","f24","e124","e224","d24"],"alphabet":["a24","b24"],"start_state":"s24","final_states":["f24"],"transitions":[["s24",null,"m24"],["s24",null,"d24"],["m24","a24","m24"],["m24","b24","f24"],["f24",null,"e124"],["e124",null,"e224"]],"subset":["f24","m24"]}。請依 [subset, NFA_final_states, intersection, accepting_subset, certificate] 欄序回答。
查看答案與解釋
([f24, m24], [f24], [f24], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)
Wave6第六層核對=([f24, m24], [f24], [f24], 是, DFA_subset_accepts_exactly_when_it_intersects_the_NFA_final_set)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-accepting-subset · candidate
76. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s0","m0","f0","e10","e20","d0"],"alphabet":["a0","b0"],"start_state":"s0","final_states":["f0"],"transitions":[["s0",null,"m0"],["s0",null,"d0"],["m0","a0","m0"],["m0","b0","f0"],["f0",null,"e10"],["e10",null,"e20"]],"input":["b0"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([b0], [[d0, m0, s0], [e10, e20, f0]], [[d0, m0, s0], [e10, e20, f0]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([b0], [[d0, m0, s0], [e10, e20, f0]], [[d0, m0, s0], [e10, e20, f0]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
77. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s1","m1","f1","e11","e21","d1"],"alphabet":["a1","b1"],"start_state":"s1","final_states":["f1"],"transitions":[["s1",null,"m1"],["s1",null,"d1"],["m1","a1","m1"],["m1","b1","f1"],["f1",null,"e11"],["e11",null,"e21"]],"input":["a1","b1"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a1, b1], [[d1, m1, s1], [m1], [e11, e21, f1]], [[d1, m1, s1], [m1], [e11, e21, f1]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a1, b1], [[d1, m1, s1], [m1], [e11, e21, f1]], [[d1, m1, s1], [m1], [e11, e21, f1]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
78. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s2","m2","f2","e12","e22","d2"],"alphabet":["a2","b2"],"start_state":"s2","final_states":["f2"],"transitions":[["s2",null,"m2"],["s2",null,"d2"],["m2","a2","m2"],["m2","b2","f2"],["f2",null,"e12"],["e12",null,"e22"]],"input":["a2","a2","b2"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a2, a2, b2], [[d2, m2, s2], [m2], [m2], [e12, e22, f2]], [[d2, m2, s2], [m2], [m2], [e12, e22, f2]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a2, a2, b2], [[d2, m2, s2], [m2], [m2], [e12, e22, f2]], [[d2, m2, s2], [m2], [m2], [e12, e22, f2]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
79. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s3","m3","f3","e13","e23","d3"],"alphabet":["a3","b3"],"start_state":"s3","final_states":["f3"],"transitions":[["s3",null,"m3"],["s3",null,"d3"],["m3","a3","m3"],["m3","b3","f3"],["f3",null,"e13"],["e13",null,"e23"]],"input":["a3","a3","a3","b3"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a3, a3, a3, b3], [[d3, m3, s3], [m3], [m3], [m3], [e13, e23, f3]], [[d3, m3, s3], [m3], [m3], [m3], [e13, e23, f3]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a3, a3, a3, b3], [[d3, m3, s3], [m3], [m3], [m3], [e13, e23, f3]], [[d3, m3, s3], [m3], [m3], [m3], [e13, e23, f3]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
80. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s4","m4","f4","e14","e24","d4"],"alphabet":["a4","b4"],"start_state":"s4","final_states":["f4"],"transitions":[["s4",null,"m4"],["s4",null,"d4"],["m4","a4","m4"],["m4","b4","f4"],["f4",null,"e14"],["e14",null,"e24"]],"input":["b4"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([b4], [[d4, m4, s4], [e14, e24, f4]], [[d4, m4, s4], [e14, e24, f4]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([b4], [[d4, m4, s4], [e14, e24, f4]], [[d4, m4, s4], [e14, e24, f4]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
81. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s5","m5","f5","e15","e25","d5"],"alphabet":["a5","b5"],"start_state":"s5","final_states":["f5"],"transitions":[["s5",null,"m5"],["s5",null,"d5"],["m5","a5","m5"],["m5","b5","f5"],["f5",null,"e15"],["e15",null,"e25"]],"input":["a5","b5"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a5, b5], [[d5, m5, s5], [m5], [e15, e25, f5]], [[d5, m5, s5], [m5], [e15, e25, f5]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a5, b5], [[d5, m5, s5], [m5], [e15, e25, f5]], [[d5, m5, s5], [m5], [e15, e25, f5]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
82. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s6","m6","f6","e16","e26","d6"],"alphabet":["a6","b6"],"start_state":"s6","final_states":["f6"],"transitions":[["s6",null,"m6"],["s6",null,"d6"],["m6","a6","m6"],["m6","b6","f6"],["f6",null,"e16"],["e16",null,"e26"]],"input":["a6","a6","b6"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a6, a6, b6], [[d6, m6, s6], [m6], [m6], [e16, e26, f6]], [[d6, m6, s6], [m6], [m6], [e16, e26, f6]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a6, a6, b6], [[d6, m6, s6], [m6], [m6], [e16, e26, f6]], [[d6, m6, s6], [m6], [m6], [e16, e26, f6]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
83. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s7","m7","f7","e17","e27","d7"],"alphabet":["a7","b7"],"start_state":"s7","final_states":["f7"],"transitions":[["s7",null,"m7"],["s7",null,"d7"],["m7","a7","m7"],["m7","b7","f7"],["f7",null,"e17"],["e17",null,"e27"]],"input":["a7","a7","a7","b7"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a7, a7, a7, b7], [[d7, m7, s7], [m7], [m7], [m7], [e17, e27, f7]], [[d7, m7, s7], [m7], [m7], [m7], [e17, e27, f7]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a7, a7, a7, b7], [[d7, m7, s7], [m7], [m7], [m7], [e17, e27, f7]], [[d7, m7, s7], [m7], [m7], [m7], [e17, e27, f7]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
84. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s8","m8","f8","e18","e28","d8"],"alphabet":["a8","b8"],"start_state":"s8","final_states":["f8"],"transitions":[["s8",null,"m8"],["s8",null,"d8"],["m8","a8","m8"],["m8","b8","f8"],["f8",null,"e18"],["e18",null,"e28"]],"input":["b8"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([b8], [[d8, m8, s8], [e18, e28, f8]], [[d8, m8, s8], [e18, e28, f8]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([b8], [[d8, m8, s8], [e18, e28, f8]], [[d8, m8, s8], [e18, e28, f8]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
85. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s9","m9","f9","e19","e29","d9"],"alphabet":["a9","b9"],"start_state":"s9","final_states":["f9"],"transitions":[["s9",null,"m9"],["s9",null,"d9"],["m9","a9","m9"],["m9","b9","f9"],["f9",null,"e19"],["e19",null,"e29"]],"input":["a9","b9"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a9, b9], [[d9, m9, s9], [m9], [e19, e29, f9]], [[d9, m9, s9], [m9], [e19, e29, f9]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a9, b9], [[d9, m9, s9], [m9], [e19, e29, f9]], [[d9, m9, s9], [m9], [e19, e29, f9]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
86. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；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"]],"input":["a10","a10","b10"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a10, a10, b10], [[d10, m10, s10], [m10], [m10], [e110, e210, f10]], [[d10, m10, s10], [m10], [m10], [e110, e210, f10]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a10, a10, b10], [[d10, m10, s10], [m10], [m10], [e110, e210, f10]], [[d10, m10, s10], [m10], [m10], [e110, e210, f10]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
87. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s11","m11","f11","e111","e211","d11"],"alphabet":["a11","b11"],"start_state":"s11","final_states":["f11"],"transitions":[["s11",null,"m11"],["s11",null,"d11"],["m11","a11","m11"],["m11","b11","f11"],["f11",null,"e111"],["e111",null,"e211"]],"input":["a11","a11","a11","b11"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a11, a11, a11, b11], [[d11, m11, s11], [m11], [m11], [m11], [e111, e211, f11]], [[d11, m11, s11], [m11], [m11], [m11], [e111, e211, f11]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a11, a11, a11, b11], [[d11, m11, s11], [m11], [m11], [m11], [e111, e211, f11]], [[d11, m11, s11], [m11], [m11], [m11], [e111, e211, f11]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
88. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s12","m12","f12","e112","e212","d12"],"alphabet":["a12","b12"],"start_state":"s12","final_states":["f12"],"transitions":[["s12",null,"m12"],["s12",null,"d12"],["m12","a12","m12"],["m12","b12","f12"],["f12",null,"e112"],["e112",null,"e212"]],"input":["b12"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([b12], [[d12, m12, s12], [e112, e212, f12]], [[d12, m12, s12], [e112, e212, f12]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([b12], [[d12, m12, s12], [e112, e212, f12]], [[d12, m12, s12], [e112, e212, f12]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
89. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s13","m13","f13","e113","e213","d13"],"alphabet":["a13","b13"],"start_state":"s13","final_states":["f13"],"transitions":[["s13",null,"m13"],["s13",null,"d13"],["m13","a13","m13"],["m13","b13","f13"],["f13",null,"e113"],["e113",null,"e213"]],"input":["a13","b13"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a13, b13], [[d13, m13, s13], [m13], [e113, e213, f13]], [[d13, m13, s13], [m13], [e113, e213, f13]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a13, b13], [[d13, m13, s13], [m13], [e113, e213, f13]], [[d13, m13, s13], [m13], [e113, e213, f13]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
90. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s14","m14","f14","e114","e214","d14"],"alphabet":["a14","b14"],"start_state":"s14","final_states":["f14"],"transitions":[["s14",null,"m14"],["s14",null,"d14"],["m14","a14","m14"],["m14","b14","f14"],["f14",null,"e114"],["e114",null,"e214"]],"input":["a14","a14","b14"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a14, a14, b14], [[d14, m14, s14], [m14], [m14], [e114, e214, f14]], [[d14, m14, s14], [m14], [m14], [e114, e214, f14]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a14, a14, b14], [[d14, m14, s14], [m14], [m14], [e114, e214, f14]], [[d14, m14, s14], [m14], [m14], [e114, e214, f14]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
91. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s15","m15","f15","e115","e215","d15"],"alphabet":["a15","b15"],"start_state":"s15","final_states":["f15"],"transitions":[["s15",null,"m15"],["s15",null,"d15"],["m15","a15","m15"],["m15","b15","f15"],["f15",null,"e115"],["e115",null,"e215"]],"input":["a15","a15","a15","b15"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a15, a15, a15, b15], [[d15, m15, s15], [m15], [m15], [m15], [e115, e215, f15]], [[d15, m15, s15], [m15], [m15], [m15], [e115, e215, f15]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a15, a15, a15, b15], [[d15, m15, s15], [m15], [m15], [m15], [e115, e215, f15]], [[d15, m15, s15], [m15], [m15], [m15], [e115, e215, f15]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
92. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s16","m16","f16","e116","e216","d16"],"alphabet":["a16","b16"],"start_state":"s16","final_states":["f16"],"transitions":[["s16",null,"m16"],["s16",null,"d16"],["m16","a16","m16"],["m16","b16","f16"],["f16",null,"e116"],["e116",null,"e216"]],"input":["b16"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([b16], [[d16, m16, s16], [e116, e216, f16]], [[d16, m16, s16], [e116, e216, f16]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([b16], [[d16, m16, s16], [e116, e216, f16]], [[d16, m16, s16], [e116, e216, f16]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
93. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s17","m17","f17","e117","e217","d17"],"alphabet":["a17","b17"],"start_state":"s17","final_states":["f17"],"transitions":[["s17",null,"m17"],["s17",null,"d17"],["m17","a17","m17"],["m17","b17","f17"],["f17",null,"e117"],["e117",null,"e217"]],"input":["a17","b17"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a17, b17], [[d17, m17, s17], [m17], [e117, e217, f17]], [[d17, m17, s17], [m17], [e117, e217, f17]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a17, b17], [[d17, m17, s17], [m17], [e117, e217, f17]], [[d17, m17, s17], [m17], [e117, e217, f17]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
94. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s18","m18","f18","e118","e218","d18"],"alphabet":["a18","b18"],"start_state":"s18","final_states":["f18"],"transitions":[["s18",null,"m18"],["s18",null,"d18"],["m18","a18","m18"],["m18","b18","f18"],["f18",null,"e118"],["e118",null,"e218"]],"input":["a18","a18","b18"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a18, a18, b18], [[d18, m18, s18], [m18], [m18], [e118, e218, f18]], [[d18, m18, s18], [m18], [m18], [e118, e218, f18]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a18, a18, b18], [[d18, m18, s18], [m18], [m18], [e118, e218, f18]], [[d18, m18, s18], [m18], [m18], [e118, e218, f18]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
95. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s19","m19","f19","e119","e219","d19"],"alphabet":["a19","b19"],"start_state":"s19","final_states":["f19"],"transitions":[["s19",null,"m19"],["s19",null,"d19"],["m19","a19","m19"],["m19","b19","f19"],["f19",null,"e119"],["e119",null,"e219"]],"input":["a19","a19","a19","b19"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a19, a19, a19, b19], [[d19, m19, s19], [m19], [m19], [m19], [e119, e219, f19]], [[d19, m19, s19], [m19], [m19], [m19], [e119, e219, f19]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a19, a19, a19, b19], [[d19, m19, s19], [m19], [m19], [m19], [e119, e219, f19]], [[d19, m19, s19], [m19], [m19], [m19], [e119, e219, f19]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
96. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s20","m20","f20","e120","e220","d20"],"alphabet":["a20","b20"],"start_state":"s20","final_states":["f20"],"transitions":[["s20",null,"m20"],["s20",null,"d20"],["m20","a20","m20"],["m20","b20","f20"],["f20",null,"e120"],["e120",null,"e220"]],"input":["b20"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([b20], [[d20, m20, s20], [e120, e220, f20]], [[d20, m20, s20], [e120, e220, f20]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([b20], [[d20, m20, s20], [e120, e220, f20]], [[d20, m20, s20], [e120, e220, f20]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
97. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s21","m21","f21","e121","e221","d21"],"alphabet":["a21","b21"],"start_state":"s21","final_states":["f21"],"transitions":[["s21",null,"m21"],["s21",null,"d21"],["m21","a21","m21"],["m21","b21","f21"],["f21",null,"e121"],["e121",null,"e221"]],"input":["a21","b21"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a21, b21], [[d21, m21, s21], [m21], [e121, e221, f21]], [[d21, m21, s21], [m21], [e121, e221, f21]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a21, b21], [[d21, m21, s21], [m21], [e121, e221, f21]], [[d21, m21, s21], [m21], [e121, e221, f21]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
98. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s22","m22","f22","e122","e222","d22"],"alphabet":["a22","b22"],"start_state":"s22","final_states":["f22"],"transitions":[["s22",null,"m22"],["s22",null,"d22"],["m22","a22","m22"],["m22","b22","f22"],["f22",null,"e122"],["e122",null,"e222"]],"input":["a22","a22","b22"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a22, a22, b22], [[d22, m22, s22], [m22], [m22], [e122, e222, f22]], [[d22, m22, s22], [m22], [m22], [e122, e222, f22]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a22, a22, b22], [[d22, m22, s22], [m22], [m22], [e122, e222, f22]], [[d22, m22, s22], [m22], [m22], [e122, e222, f22]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
99. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s23","m23","f23","e123","e223","d23"],"alphabet":["a23","b23"],"start_state":"s23","final_states":["f23"],"transitions":[["s23",null,"m23"],["s23",null,"d23"],["m23","a23","m23"],["m23","b23","f23"],["f23",null,"e123"],["e123",null,"e223"]],"input":["a23","a23","a23","b23"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([a23, a23, a23, b23], [[d23, m23, s23], [m23], [m23], [m23], [e123, e223, f23]], [[d23, m23, s23], [m23], [m23], [m23], [e123, e223, f23]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([a23, a23, a23, b23], [[d23, m23, s23], [m23], [m23], [m23], [e123, e223, f23]], [[d23, m23, s23], [m23], [m23], [m23], [e123, e223, f23]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
100. NFA到DFA的子集合構造
epsilon-closed start、move後closure與accepting-subset交集規則。操作=subsetdfa-full-word-trace-invariant；資料={"states":["s24","m24","f24","e124","e224","d24"],"alphabet":["a24","b24"],"start_state":"s24","final_states":["f24"],"transitions":[["s24",null,"m24"],["s24",null,"d24"],["m24","a24","m24"],["m24","b24","f24"],["f24",null,"e124"],["e124",null,"e224"]],"input":["b24"]}。請依 [input, DFA_prefix_subsets, direct_NFA_prefix_subsets, prefix_invariant, accepted, certificate, finite_tests_language_equivalence_claim, boundary] 欄序回答。
最後固定的否只是不由有限word tests宣稱一般語言等價，不否定本word的prefix_invariant、accepted或子集合構造的一般定理。
查看答案與解釋
([b24], [[d24, m24, s24], [e124, e224, f24]], [[d24, m24, s24], [e124, e224, f24]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)
Wave6第六層核對=([b24], [[d24, m24, s24], [e124, e224, f24]], [[d24, m24, s24], [e124, e224, f24]], 是, 是, each_DFA_prefix_subset_equals_all_epsilon_closed_NFA_states_reachable_after_that_prefix, 否, finite_word_tests_do_not_prove_language_equivalence_without_the_prefix_induction_invariant)；依完整明示資料獨立重算；empty subset是合法dead state，DFA prefix subset須等於全部epsilon-closed NFA reachable states；language equivalence依任意word prefix induction；有限accept/reject tests不足。
本題逐步詳解（AI 二次覆核）
NFA到DFA的子集合構造 · qf-mod43-subsetdfa-full-word-trace-invariant · candidate
原始題目 JSONL · 驗收報告