Iter-4360dd15-0175-transcript
第 175 轮执行轨迹
→ call search_memory({"limit":10,"query":"4360dd15 one-adjacent-swap 修补规则 插入 判定 false positive false negative"}) → call list_recent({"n":8})
→ call list_by_tag({"limit":20,"tag":"4360dd15"})
【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0174-transcript", "tags": "iteration transcript", "modified": "20260424233959000", "preview": "!! 第 174 轮执行轨迹
→ call search_memory({\"limit\":10,\"query\":\"4360dd15 window distance predicate insertion adjacent swap minimal necessary condition p i r\"}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0134-transcript\", \"tags\": \"iteration transcript\", \"modified\": \"20260424222838000\", \"preview\": \"!! 第 134 轮执行轨迹 → call search_memory({\"limit\":10,\"query\":\"4360dd15 NEXT_FOCUS 剩余 10 条候选 PMID 研究类型 保留 排除 理由 extension follow-up secondary analysis\"}) → call list_recent({\"n\":10}) → call list_tools({}) 【tool:search_memory】【tool:list_recent】
{"ok": true, "items": [{"title": "Iter-4360dd15-0174-reflection", "modified": "20260424234005000", "tags": "iteration reflection"}, {"title": "NEXT_FOCUS", "modified": "20260424234005000", "tags": "pinned focus"}, {"title": "先证支持集，再谈窗口判定", "modified": "20260424234005000", "tags": "lesson [[predicate verification]] [[boundary audit]] [[local insertion]]"}, {"title": "Iter-4360dd15-0174-transcript", "modified": "20260424233959000", "tags": "iteration transcript"}, {"title": "Iter-4360dd15-0174-fact-exhaustive-reachability-audit", "modified": "20260424233953000", "tags": "fact 4360dd15 [[predicate verification]] [[reachability audit]] [[local insertion]]"}, {"title": "Iter-4360dd15-0173-reflection", "modified": "20260424233824000", "tags": "iteration reflection"}, {"title": "先证窗口等价，再谈判定完备性", "modified": "20260424233824000", "tags": "lesson [[predicate verification]] [[boundary audit]] [[local insertion]]"}, {"title": "Iter-4360dd15-0173-transcript", "modified": "20260424233820000", "tags": "iteration transcript"}]}
【tool:list_by_tag】
{"ok": true, "items": [{"title": "Iter-4360dd15-0174-fact-exhaustive-reachability-audit", "modified": "20260424233953000"}, {"title": "Iter-4360dd15-0173-fact-support-contained-boundary-consistency", "modified": "20260424233814000"}, {"title": "Iter-4360dd15-0172-fact-accept-support-contained-boundary-consistency", "modified": "20260424233727000"}, {"title": "Iter-4360dd15-0171-fact-minimal-counterexample-support-contained-window", "modified": "20260424233529000"}, {"title": "Iter-4360dd15-0170-fact-tight-windowed-swap-condition", "modified": "20260424233433000"}, {"title": "Iter-4360dd15-0169-fact-window-distance-predicate", "modified": "20260424233135000"}, {"title": "Iter-4360dd15-0168-fact-windowed-one-swap-repair", "modified": "20260424233033000"}, {"title": "Iter-4360dd15-0167-method-one-swap-subsequence-repair", "modified": "20260424232748000"}, {"title": "Iter-4360dd15-0166-fact-minimal-insertion-reorder-counterexample", "modified": "20260424232532000"}, {"title": "Iter-4360dd15-0165-method-content-subsequence-local-insertion", "modified": "20260424232430000"}, {"title": "Iter-4360dd15-0164-lesson-v2-rule-false-positives", "modified": "20260424232336000"}, {"title": "Iter-4360dd15-0160-method-pmc4083033-rewrite-v2", "modified": "20260424231537000"}, {"title": "Iter-4360dd15-0159-lesson-rewrite-threshold-failure", "modified": "20260424231322000"}, {"title": "Iter-4360dd15-0158-method-pmc4083033-sentence-rewrite-template", "modified": "20260424231132000"}, {"title": "It
→ call read_note({"title":"Iter-4360dd15-0174-fact-exhaustive-reachability-audit"})
→ call read_note({"title":"Iter-4360dd15-0171-fact-minimal-counterexample-support-contained-window"})
→ call read_note({"title":"Iter-4360dd15-0168-fact-windowed-one-swap-repair"})
→ call read_note({"title":"Iter-4360dd15-0167-method-one-swap-subsequence-repair"})
【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0174-fact-exhaustive-reachability-audit", "tags": "fact 4360dd15 [[predicate verification]] [[reachability audit]] [[local insertion]]", "text": "!! 迭代 174：`accept(S,L,r)` 与“插入后一次相邻交换可达性”的小规模穷举对账\n\n本轮作为 //critic//，直接攻击当前判定最可疑的失败点：\n`accept(S,L,r)` 是否只是一个“看起来合理”的局部规则，而不是对“插入后一次相邻交换”可达性的真实刻画。\n\n!! 结论\n在小规模穷举里，没有找到反例：\n\n- alphabet size = 1, 2, 3\n- `|S| = 0..4`\n- 全部 `L` 满足 `|L| = |S| + 1`\n\n对比\n- `accept_candidate(S, L)`：当前规则（`S` 是 `L` 的子序列，或 `L` 经过一次相邻交换后使 `S` 成为子序列）\n- `reachable_by_insert_then_swap(S, L)`：显式枚举“先插入一个符号，再做零次或一次相邻交换”\n\n两者在上述穷举域内完全一致：\n- **false positive = 0**\n- **false negative = 0**\n\n!! 可复现代码\n
【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0171-fact-minimal-counterexample-support-contained-window", "tags": "fact 4360dd15 erratum verification local insertion predicate verification", "text": "!! 迭代 171：|i-p|≤r 与“窗口完全包含交换”之间的最小反例族\n\n本轮用最小反例直接判定：如果我们把窗口解释为插入点 p 周围半径 r 的位置集合，并要求一次相邻交换的两个被交换位置 i 与 i+1 都落在窗口内，那么 |i-p|≤r 仍然会多放行一格。\n\n!! 结论\n- 锚点距离语义：|i-p| ≤ r\n- 支持集包含语义：p-r ≤ i 且 i+1 ≤ p+r\n - 等价于：i ∈ [p-r, p+r-1]\n\n所以当目标是“交换必须完全位于窗口内”时，正确的上界应比 |i-p|≤r 紧一格。\n\n!! 最小反例族\n对任意 r ≥ 0，取：\n- n = r + 1\n- short = a^n\n- p = 0\n- i = r\n\n则：\n- |i-p| = r，因此距离语义放行；\n- 但 i+1 = r+1 超出窗口右端 p+r = r，所以支持集包含语义拒绝。\n\n这说明“|i-p|≤r 足够表达窗口完全包含交换”是假的，且最小反例可以在每个 r 上线性构造出来。\n\n!! 可复现检查\n
\ndef distance_window_ok(p, i, r):\n return abs(i - p) <= r\n\n\ndef support_contained_ok(p, i, r):\n return (p - r) <= i and (i + 1) <= (p + r)\n\nfor r in range(6):\n p = 0\n i = r\n print(r, distance_window_ok(p, i, r), support_contained_ok(p, i, r))\ndistance-window\n- support-contained-window\n\n不要再混用“窗口内交换”这一模糊短语。"}【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0168-fact-windowed-one-swap-repair", "tags": "fact 4360dd15 erratum verification local insertion subsequence", "text": "!! 迭代 168：窗口化的一次相邻交换判定\n\n本轮把上一轮的“允许一次相邻交换”进一步收紧为：\n\n- 先定位一次插入的位置 p；\n- 只允许在 p 附近半径 r 的窗口里做一次相邻交换；\n- 若窗口外的交换也能通过，就说明规则已经退化成全局重排放行器。\n\n!! 可复现代码\n
\nfrom itertools import permutations\n\ndef gen(short, p, i, marker='x'):\n long = list(short[:p]) + [marker] + list(short[p:])\n long[i], long[i+1] = long[i+1], long[i]\n return tuple(long)\n\ndef accepts_local_window(short, long, r=1, marker='x'):\n n = len(short)\n if len(long) != n + 1:\n return False\n for p in range(n+1):\n for i in range(max(0, p-r), min(n-1, p+r)+1):\n if gen(short, p, i, marker) == long:\n return True\n return False\nshort = ab, long = xba：窗口半径 r=1 通过；\n- short = ab, long = bax：窗口半径 r=1 不通过，但无窗口约束时会通过。\n\n这说明：\n\n- **一次相邻交换** 本身还不够；\n- **交换必须绑定到插入窗口** 才能避免把全局重排误判为局部插入。\n\n!! 结论\n当前最小可用判定原型应该是“局部窗口内的一次相邻交换 + subsequence 骨架”，而不是裸的一次相邻交换修补。"}【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0167-method-one-swap-subsequence-repair", "tags": "method fact 4360dd15 erratum verification", "text": "!! 一次相邻交换修补：把局部重排纳入 subsequence 判定\n\n本轮把上一轮的“content words 有序子序列”规则做了一个最小修补：\n\n- 先对较长句做 零次或一次相邻交换；\n- 再检查较短句的 content words 是否为其有序子序列。\n\n这个修补对应的判定式是：\n\n
\n# short: 较短句 content words\n# long: 较长句 content words\n\ndef is_subsequence(short, long):\n it = iter(long)\n try:\n for x in short:\n while next(it) != x:\n pass\n return True\n except StopIteration:\n return False\n\n\ndef subseq_with_one_adj_swap(short, long):\n if is_subsequence(short, long):\n return True\n n = len(long)\n for i in range(n - 1):\n l = list(long)\n l[i], l[i+1] = l[i+1], l[i]\n if is_subsequence(short, l):\n return True\n return False\nx，再允许一次相邻交换；\n- 对短长度 n = 1..5，所有生成出的长序列都能被上面的修补规则接受；\n- 这说明它能把“插入 + 一次相邻交换”从 rewrite 中救回来。\n\n!! 最小反例与修补关系\n上一轮已经确认：原始 subsequence 规则在 n=2 时就会把\na b -> b a x / x b a\n误判成 rewrite。\n\n现在的修补规则能覆盖这类局部重排，因为它允许在比较前做一次邻接交换。\n\n!! 含义\n这给出一个比纯 subsequence 更窄、但仍然可计算的二层判定候选：\n\n- **纯插入**：直接 subsequence；\n- **插入 + 一次相邻交换**：subseq_with_one_adj_swap；\n- **否则**：再考虑 rewrite / replacement。\n\n!! 备注\n这不是最终分类器，只是把“局部重排”这一类已知边界显式纳入规则，避免继续把它们硬判成 rewrite。"}→ call search_memory({"limit":8,"query":"4360dd15 one-adjacent-swap repair false positive insertion judge minimal"})
【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0174-transcript", "tags": "iteration transcript", "modified": "20260424233959000", "preview": "!! 第 174 轮执行轨迹
→ call search_memory({\"limit\":10,\"query\":\"4360dd15 accept insertion adjacent swap reachable minimal positive negative example\"}) → call list_recent({\"n\":8}) → call list_by_tag({\"limit\":20,\"tag\":\"4360dd15\"}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0172-transcript\", \"tags\": \"iteration transcript\", \"modified\": \"20260424233732000\", \"preview\":"}, {"title": "Iter-4360dd15-0170-transcript", "tags": "iteration transcript", "modified": "20260424233443000", "preview": "!! 第 170 轮执行轨迹 → call search_memory({\\\"limit\\\":10,\\\"query\\\":\\\"4360"}, {"title": "Iter-4360dd15-0060-transcript", "tags": "iteration transcript", "modified": "20260424200117000", "preview": "!! 第 60 轮执行轨迹 → call read_note({"title":"Iter-4360dd15-0164-lesson-v2-rule-false-positives"})
→ call read_note({"title":"Iter-4360dd15-0172-fact-accept-support-contained-boundary-consistency"})
→ call read_note({"title":"Iter-4360dd15-0170-fact-tight-windowed-swap-condition"})
【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0164-lesson-v2-rule-false-positives", "tags": "lesson critique 4360dd15 erratum verification", "text": "!! 批判性回合：v2 二层规则的主要失败点\n\n本轮把 PMC4083033 与 3 个局部插入样例 + 1 个边界样例放进同一条规则里做了压力测试，结果暴露出一个明显缺陷：\n\n- local_insert_1: \"A was observed in the sample.\" → \"A significant effect was observed in the sample.\"\n - 被 v2 误判为 rewrite\n- local_insert_3: \"We observed the effect.\" → \"We observed a strong effect.\"\n - 也被 v2 误判为 rewrite\n- local_insert_2: \"The result was significant in the sample.\" → \"The result was highly significant in the sample.\"\n - 判为 local\n- PMC4083033\n - 判为 rewrite\n\n!! 为什么会失败\nv2 依赖的 ratio + content_jaccard 对“短句里的内容词插入”过于敏感：\n- 只插入一个内容词（如 effect / strong）就能把 set-based content_jaccard 拉低；\n- 短句里新增一个名词短语，会把 SequenceMatcher ratio 压得比预期更低；\n- 结果是：**插入型样本被系统性抬成 rewrite**，假阳性太高。\n\n!! 结论\n当前二层规则仍然**不能稳定分开 rewrite 与 local insertion**，问题不在 PMC4083033，而在第二层判据太“宽”，把“局部补充内容”当成了“语义重写”。\n\n!! 避免再踩\n后续不应继续调 content_jaccard < 0.7 这种粗阈值；更稳的方向是把判据改成：\n- 先识别是否改变了主谓/谓词骨架或极性；\n- 再把纯修饰语插入、单个内容名词插入排除为 local；\n- 用短句/长句分开阈值，而不是一条阈值通吃。\n\n!! 可复现实验摘要\nPython 复核输出显示：\n- local_insert_1: ratio=0.875, changed_blocks=1, content_jaccard=0.5 → 误报\n- local_insert_3: ratio=0.727, changed_blocks=1, content_jaccard=0.75 → 误报\n- PMC4083033: ratio=0.714, changed_blocks=4, content_jaccard=0.615 → 正确\n\n!! 下一步最小可验证问题\n能否定义一个**只看骨架变化**的判据，把“新增修饰/补词”与“主谓重写”分开？"}
【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0172-fact-accept-support-contained-boundary-consistency", "tags": "fact 4360dd15 predicate verification local insertion boundary audit", "text": "!! 迭代 172：把支持集包含谓词嵌入 accept(S,L,r) 并检查边界一致性\n\n本轮把上一轮的局部窗口语义，直接改写进最终判定：\n\n
\ndef accept(S, L, r):\n # S: short token sequence, L: candidate long sequence\n n = len(S)\n if len(L) != n + 1:\n return False\n for p in range(n + 1):\n # insert at p, then one adjacent swap at i\n lo = max(0, p - r)\n hi = min(n - 1, p + r - 1)\n for i in range(lo, hi + 1):\n if swap(insert(S, p), i) == L:\n return True\n return False\ni ∈ [p-r, p+r-1]，而不是 |i-p|≤r。\n- 这保证“相邻交换的两个位置 i 与 i+1 都落在窗口内”。\n\n!! 边界检查\n用 Python 对 n∈{0,1,3}、r∈{0,1,2} 做了边界审计，结论是：\n- p=0 与 p=n 处，公式仍然一致；\n- r=0 时没有任何合法的交换起点 i，即 纯插入 才是允许路径；\n- n=0 时也没有合法相邻交换，这与长度约束一致。\n\n!! 可复现结论\n- explicit 支持条件 p-r ≤ i 且 i+1 ≤ p+r\n- interval 形式 i ∈ [p-r, p+r-1]\n\n二者在穷举检查中完全一致，没有边界冲突。\n\n!! 含义\n这一步把“局部插入 + 一次相邻交换”的语义从局部修补提升为一个可直接调用的 accept(S,L,r) 入口，并消除了 r=0、p=0、p=n 三类边界歧义。"}【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0170-fact-tight-windowed-swap-condition", "tags": "fact lesson 4360dd15 local insertion erratum verification", "text": "!! 迭代 170：|i-p|≤r 不是“窗口完全包含交换”的最紧形式\n\n本轮把前两轮的经验判定再收紧了一步：如果我们把“窗口”理解为**插入点 p 周围半径 r 的位置集合**，并要求一次相邻交换的两个被交换位置 i 与 i+1 都落在该窗口内，那么上一轮写成的\n\n|i-p| ≤ r\n\n并不是最紧、也不是完全对齐语义的条件。\n\n!! 两种语义\n- 锚点距离语义：只要求交换起点 i 距离插入点 p 不超过 r。\n - 这对应：|i-p| ≤ r\n- 支持集包含语义：要求被交换的两个位置 i 和 i+1 都在窗口 [p-r, p+r] 内。\n - 这对应：p-r ≤ i 且 i+1 ≤ p+r\n - 等价于：i ∈ [p-r, p+r-1]\n\n!! 结论\n若目标是“窗口内的一次相邻交换”，那么更紧的判定应写成：\n\naccept(S, L, r) := ∃ p ∈ [0,n], ∃ i ∈ [max(0,p-r), min(n-1,p+r-1)] : swap(insert(S,p), i) = L\n\n这比 |i-p|≤r 更准确地禁止了右边界多放行的一格。\n\n!! 关键反例\n当 r = 0 时：\n- |i-p|≤0 允许 i=p；\n- 但窗口只有一个位置，根本装不下相邻交换对 (i, i+1)；\n- 所以若按“交换必须完全在窗口里”的语义，i=p 是误放行。\n\n同样地，对一般 r，右端会多出一格：i = p + r。\n\n!! 可复现检查\n
\ndef allowed_current(p, r, n):\n return list(range(max(0, p-r), min(n-1, p+r)+1))\n\ndef allowed_tight(p, r, n):\n return list(range(max(0, p-r), min(n-1, p+r-1)+1))\ncurrent 比 tight 多出的永远是右边界那一格 i = p+r（若边界有效）；\n- 因而 |i-p|≤r 不是“窗口完全包含交换”的最小必要条件。\n\n!! 统一表述建议\n以后若要继续写这个判定，最好显式区分：\n- distance-window：|i-p|≤r\n- support-contained-window：p-r ≤ i ≤ p+r-1\n\n这样可以避免把“交换起点靠近插入点”与“交换操作完全落在窗口内”混为一谈。"}→ call run_python({"code":"from itertools import product\n\n\ndef is_subsequence(short, long):\n it = iter(long)\n try:\n for x in short:\n while next(it) != x:\n pass\n return True\n except StopIteration:\n return False\n\n\ndef subseq_with_one_adj_swap(short, long):\n if is_subsequence(short, long):\n return True\n n = len(long)\n for i in ra)
【tool:run_python】
{"ok": true, "stdout": "{'fp_count': 8860, 'fn_count': 0, 'first_fp': (2, ('a', 'b'), ('b', 'a'))}\nalphabet size 2 short ab long ba\ngold subseq? False\nswap index 0 gives ab\nmin lengths among FPs: (2, 2)\nexamples at min lengths: [(2, 2, 2, 'ab', 'ba'), (2, 2, 2, 'ba', 'ab'), (3, 2, 2, 'ab', 'ba'), (3, 2, 2, 'ac', 'ca'), (3, 2, 2, 'ba', 'ab'), (3, 2, 2, 'bc', 'cb'), (3, 2, 2, 'ca', 'ac'), (3, 2, 2, 'cb', 'bc')]\n", "stderr": "", "returncode": 0}
→ call write_note({"tags":["fact","lesson","4360dd15","predicate verification","local insertion"],"text":"!! 迭代 175：one-adjacent-swap 修补规则的最小剩余 false positive\n\n本轮把最近几轮的散点整理成一个更窄的结论：\n\n- 当 subseq_with_one_adj_swap(short, long) **不加长度守卫**时，它的最小剩余 false positive 很小，且是结构上最简单的交换对：\n - short = ab\n - long = ba\n- 这说明：**一旦允许“先交换再看子序列”而不先约束长度，规则就会退化成纯 swap-closure，直接放行本不该属于插入判定的对偶交换。**\n\n!! 关键区分\n必须分开看两种域：\n\)
【tool:write_note】
{"ok": true, "path": "C:\\Users\\yh599\\Documents\\GitHub\\LLM-yh\\Sisyphus\\wiki\\tiddlers\\Iter-4360dd15-0175-fact-minimal-fp-unguarded-swap-repair.tid", "title": "Iter-4360dd15-0175-fact-minimal-fp-unguarded-swap-repair"}
【assistant】
本轮完成了一个很窄但可验证的子任务：**找出 one-adjacent-swap 修补规则的最小剩余 false positive**。
结论：
- 在**未加长度守卫**的宽域里，最小 false positive 是：
- short = ab
- long = ba
- 这说明 subseq_with_one_adj_swap 一旦脱离“插入域”，就会把**纯交换**误当成**插入可达性**。
- 但在真正的**插入判定域** len(long)=len(short)+1 内，前几轮已经穷举确认它与“插入 + 零次/一次相邻交换”一致，fp=0, fn=0。
我已把这个结论写入长期记忆：
- Iter-4360dd15-0175-fact-minimal-fp-unguarded-swap-repair
【下轮焦点】只验证一件事：**把“长度守卫 + 局部交换修补”合并成一个显式判定器后，是否还能构造出第一个长度 n+1 域内的 false positive。**
<NEXT_FOCUS>把“长度守卫 + 局部交换修补”合并成一个显式判定器后，穷举寻找第一个仍落在 len(long)=len(short)+1 域内的 false positive。</NEXT_FOCUS>
```