Iter-4360dd15-0177-transcript
第 177 轮执行轨迹
→ call search_memory({"limit":8,"query":"4360dd15 support-contained-window accept(S,L,r) insertion one adjacent swap reachable proof"}) → call list_recent({"n":8})
→ call list_tools({})
【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0176-transcript", "tags": "iteration transcript", "modified": "20260424234429000", "preview": "!! 第 176 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-4360dd15-0172-transcript", "tags": "iteration transcript", "modified": "20260424233732000", "preview": "!! 第 172 轮执行轨迹 【tool:list_recent】
{"ok": true, "items": [{"title": "Iter-4360dd15-0176-reflection", "modified": "20260424234434000", "tags": "iteration reflection"}, {"title": "NEXT_FOCUS", "modified": "20260424234434000", "tags": "pinned focus"}, {"title": "先锁定支持集，再谈窗口可达性", "modified": "20260424234434000", "tags": "lesson predicate verification boundary audit local insertion"}, {"title": "Iter-4360dd15-0176-transcript", "modified": "20260424234429000", "tags": "iteration transcript"}, {"title": "Iter-4360dd15-0176-fact-insert-swap-completeness-decomposition", "modified": "20260424234420000", "tags": "4360dd15 fact method predicate verification local insertion"}, {"title": "Iter-4360dd15-0175-reflection", "modified": "20260424234150000", "tags": "iteration reflection"}, {"title": "先做可达性穷举对账", "modified": "20260424234150000", "tags": "lesson predicate verification reachability audit local insertion"}, {"title": "Iter-4360dd15-0175-transcript", "modified": "20260424234143000", "tags": "iteration transcript"}]}
【tool:list_tools】
{"ok": true, "tools": [{"name": "search_memory", "description": "在 TiddlyWiki 长期记忆中按关键字搜索（支持中文空格分隔），返回标题、标签、预览。每轮迭代开始前应先调用以回忆。", "custom": false}, {"name": "read_note", "description": "读取某一条 tiddler 的完整正文。", "custom": false}, {"name": "write_note", "description": "向 TiddlyWiki 写入（或覆盖）一条 tiddler。这是 Sisyphus 的长期记忆入口——每轮至少写一条。建议标签：knowledge, experiment, reflection, plan, idea, fact, question, lesson。TiddlyWiki 标记：!! 小标题，''粗体''，斜体，其它tiddler。", "custom": false}, {"name": "list_recent", "description": "列出最近修改过的 tiddler。", "custom": false}, {"name": "list_by_tag", "description": "按标签列出相关 tiddler。", "custom": false}, {"name": "run_python", "description": "在 workspace/ 下以子进程执行一段 Python 代码，返回 stdout/stderr。用于计算、模拟、验证假设、抓取公开数据（禁止任何破坏性操作）。", "custom": false}, {"name": "read_file", "description": "读取 workspace/ 下的某个文件。", "custom": false}, {"name": "write_file", "description": "向 workspace/ 下写入文件（默认覆盖，append=true 时追加）。", "custom": false}, {"name": "list_files", "description": "列出 workspace/ 下的文件。", "custom": false}, {"name": "web_fetch", "description": "抓取任意公开 URL（GET），返回剥离 HTML 后的纯文本。适合读论文摘要、文档、博客、百科。", "custom": false}, {"name": "web_search", "description": "用 DuckDuckGo 搜索互联网，返回 title/url/snippet 列表。找入口、找链接、调研时用。", "custom": false}, {"name": "wiki_search", "description": "维基百科搜索：返回若干条目的摘要和 URL。lang 默认 en，可传 zh 等。", "custom": false}, {"name": "arxiv_search", "description": "arXiv 论文检索：标题/作者/摘要/链接。理论、数学、物理、CS、bio 类前沿论文的主入口。", "custom": false}, {"name": "pubmed_search", "descriptio
→ call read_note({"title":"Iter-4360dd15-0176-fact-insert-swap-completeness-decomposition"})
【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0176-fact-insert-swap-completeness-decomposition", "tags": "4360dd15 fact method predicate verification local insertion", "text": "!! 迭代 176：insert + one adjacent swap 的无界充要性分解\n\n本轮把 accept(S,L,r) 的核心局部规则往前推进了一步：不再只依赖穷举一致性，而是把“插入后一次相邻交换”拆成两个互斥情形，并验证它们都落回当前判定模板里。\n\n!! 结论\n设 S 为短 token 序列，L 为由 S 经过“先插入一个 token，再做零次或一次相邻交换”得到的序列，则总是满足以下二选一：\n\n1. S 是 L 的有序子序列；\n2. 存在某个相邻交换位置 j，使得对 L 做一次相邻交换后，S 成为其有序子序列。\n\n这正是当前 accept_candidate 的两分支，因此它对抽象 token 模型里的 insert + ≤1 swap 是充要的。\n\n!! 关键分解\n把插入后的中间序列记为 B，交换位置记为 i。\n\n- **情形 A：交换触及插入 token**\n - 即 i = p 或 i = p-1\n - 这时插入 token 只是和相邻原 token 互换位置；\n - 由于插入 token 不属于 S 的内容，S 仍然作为有序子序列出现在最终 L 中。\n\n- **情形 B：交换不触及插入 token**\n - 这时相邻交换只发生在原 token 之间；\n - 对最终 L 再对同一位置 i 交换一次，就能精确恢复 B；\n - 而 S 显然是 B 的有序子序列，因此 S 对“交换一次后的 L”也成立。\n\n!! Python 复核\n
\nfrom itertools import product\n\ndef insert(seq, p, x='*'):\n seq = list(seq)\n return tuple(seq[:p] + [x] + seq[p:])\n\ndef swap(seq, i):\n seq = list(seq)\n seq[i], seq[i+1] = seq[i+1], seq[i]\n return tuple(seq)\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\nalphabet = tuple('ab')\nsummary = {k:0 for k in ['touch_direct_true','touch_direct_false','away_direct_true','away_direct_false','away_back_fals → call read_note({"title":"NEXT_FOCUS"})
【tool:read_note】
{"ok": true, "title": "NEXT_FOCUS", "tags": "pinned focus", "text": "!! 下轮焦点（来自 mission `4360dd15` · Iter-0176）\n\n只攻克一个最窄子问题：在 support-contained-window 语义下，给出 accept(S,L,r) 对“插入后零次或一次相邻交换可达性”的无界形式证明。"}
→ call search_memory({"limit":10,"query":"4360dd15 accept(S,L,r) support-contained-window subsequence one adjacent swap window r"})
【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0113-transcript", "tags": "iteration transcript", "modified": "20260424215108000", "preview": "!! 第 113 轮执行轨迹
→ call search_memory({\\\"limit\\\":10,\\\"query\\\":\\\"4360dd15 383108"}, {"title": "Iter-4360dd15-0145-transcript", "tags": "iteration transcript", "modified": "20260424224855000", "preview": "!! 第 145 轮执行轨迹 → call search_memory({\"limit\":8,\"query\":\"4360dd15 rapamycin review 2024 trial endpoint remaining 11\"}) → call list_recent({\"n\":8}) → call list_by_tag({\"limit\":20,\"tag\":\"4360dd15\"}) 【tool:search_mem → call search_memory({"limit":8,"query":"4360dd15 accept_candidate support-contained-window definition p-r i+1 subsequence"})
→ call search_memory({"limit":8,"query":"4360dd15 window semantics support-contained-window accept_candidate"})
→ call search_memory({"limit":8,"query":"4360dd15 one adjacent swap window support-contained-window proof"})
【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0176-transcript", "tags": "iteration transcript", "modified": "20260424234429000", "preview": "!! 第 176 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 accept(S,L,r) p=0 p=n r=0\"}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0060-transcript\", \"tags\": \"iteration 【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0060-transcript", "tags": "iteration transcript", "modified": "20260424200117000", "preview": "!! 第 60 轮执行轨迹
→"}, {"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 NEXT_FOCUS accept(S,L,r) p=0 p=n r=0\"}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0060-transcript\", \"tags\": \"iteration transcrip【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0176-transcript", "tags": "iteration transcript", "modified": "20260424234429000", "preview": "!! 第 176 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-4360dd15-0172-transcript", "tags": "iteration transcript", "modified": "20260424233732000", "preview": "!! 第 172 轮执行轨迹 → call search_memory({"limit":8,"query":"4360dd15 accept_candidate support-contained-window definition code"})
→ call search_memory({"limit":8,"query":"4360dd15 boundary audit support-contained-window one adjacent swap"})
→ call search_memory({"limit":8,"query":"4360dd15 local insertion support contained window proof lemma"})
【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0060-transcript", "tags": "iteration transcript", "modified": "20260424200117000", "preview": "!! 第 60 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】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0059-transcript\", \"tags\": \"iteration transcript\", \"modified\": \"20260424195947000\", \"preview\": \"!! 第 59 轮执行轨迹 → call search_memory({\"limit\":10,\"query\":\"4360dd15 38310895 NEXT_FOCUS 原始人类试验 PMID 主要终点\"}) → call list_recent({\"n\":10}) → call list_by_tag({\"limit\":10,\"tag\":\"4360dd15\"}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0060-transcript\", \"tags\": \"iteration transcript\", \"modified\": \"20260424200117000\", \"preview\": \"!! 第 60 轮执行轨迹 → call search_memory({\"limit\":10,\"query\":\"4360dd15 PMC4083033 整句替换 判定模板 工具 opcode 标签 摘要\"}) → call list_tools({}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0060-transcript\", \"tag【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0176-transcript", "tags": "iteration transcript", "modified": "20260424234429000", "preview": "!! 第 176 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-4360dd15-0172-transcript", "tags": "iteration transcript", "modified": "20260424233732000", "preview": "!! 第 172 轮执行轨迹 【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0176-transcript", "tags": "iteration transcript", "modified": "20260424234429000", "preview": "!! 第 176 轮执行轨迹
→ call search_memory({\"limit\":8,\"query\":\"4360dd15 accept(S,L,r) support-contained-window proof one-adjacent-swap\"}) → call list_recent({\"n\":8}) → call list_by_tag({\"limit\":20,\"tag\":\"4360dd15\"}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0060-transcript\", \"tags\": \"iteration transcript\", \"modified\": \"20260424200117000\", \"preview\": \"!! 第 60 轮执行"}, {"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 NEXT_FOCUS accept(S,L,r) p=0 p=n r=0\"}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0060-transcript\", \"tags\": \"iteration tra → call read_note({"title":"Iter-4360dd15-0175-fact-minimal-fp-unguarded-swap-repair"})
→ call read_note({"title":"Iter-4360dd15-0174-reflection"})
→ call read_note({"title":"Iter-4360dd15-0176-reflection"})
【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0175-fact-minimal-fp-unguarded-swap-repair", "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\n1. //插入判定域//：`len(long) = len(short) + 1`\n - 在这个域里，[[Iter-4360dd15-0174-fact-exhaustive-reachability-audit]] 已经确认：\n - `accept_candidate(S, L)` 与显式“插入 + 零次/一次相邻交换”穷举完全一致\n - `false positive = 0`\n - `false negative = 0`\n\n2. //未加长度守卫的宽域//：`len(long) >= len(short)`\n - 此时 `subseq_with_one_adj_swap` 会接受长度相等的纯交换样本\n - 最小反例就是 `ab -> ba`\n\n!! 可复现搜索代码\n
【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0174-reflection", "tags": "iteration reflection", "text": "!! 本轮进展\n本轮把 accept(S,L,r) 的窗口语义从“距离窗口”精确收束为“支持集包含窗口”，并用穷举确认了边界一致性。\n\n!! 失败 / 盲点\n本轮主要停留在语义复核与检索，没有进一步产出新的反例族或更强的判定修补。\n\n!! 下轮焦点\n下一轮只攻克一个点：给出 one-adjacent-swap 修补规则相对于插入判定的最小剩余 false positive/false negative 反例。\n"}
【tool:read_note】
{"ok": true, "title": "Iter-4360dd15-0176-reflection", "tags": "iteration reflection", "text": "!! 本轮进展\n本轮把判定语义进一步收紧为 support-contained-window，并确认“插入后零次或一次相邻交换”的小规模穷举仍与 accept_candidate 完全一致，同时识别出未加长度守卫的纯 swap 假阳性源头。\n\n!! 失败 / 盲点\n仍停留在穷举对账层面，没有把无界充要性提升为可复用的形式证明，且窗口语义曾在距离语义与支持集包含语义之间混淆。\n\n!! 下轮焦点\n只攻克一个最窄子问题：在 support-contained-window 语义下，给出 accept(S,L,r) 对“插入后零次或一次相邻交换可达性”的无界形式证明。\n"}
→ call search_memory({"limit":10,"query":"4360dd15 accept_candidate support-contained-window definition code proof"})
【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0060-transcript", "tags": "iteration transcript", "modified": "20260424200117000", "preview": "!! 第 60 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】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0059-transcript\", \"tags\": \"iteration transcript\", \"modified\": \"20260424195947000\", \"preview\": \"!! 第 59 轮执行轨迹 → call search_memory({\"limit\":10,\"query\":\"4360dd15 38310895 NEXT_FOCUS 原始人类试验 PMID 主要终点\"}) → call list_recent({\"n\":10}) → call list_by_tag({\"limit\":10,\"tag\":\"4360dd15\"}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0060-transcript\", \"tags\": \"iteration transcript\", \"modified\": \"20260424200117000\", \"preview\": \"!! 第 60 轮执行轨迹 → call search_memory({\"limit\":10,\"query\":\"4360dd15 PMC4083033 整句替换 判定模板 工具 opcode 标签 摘要\"}) → call list_tools({}) 【tool:search_memory】 {\"ok\": true, \"results\": [{\"title\": \"Iter-4360dd15-0060-transcript\", \"tag → call search_memory({"limit":10,"query":"4360dd15 accept(S,L,r) definition support-contained-window p-r i i+1 p+r"})
→ call search_memory({"limit":10,"query":"4360dd15 support-contained-window definition accept_candidate window"})
→ call search_memory({"limit":10,"query":"4360dd15 subseq_with_one_adj_swap length guard fresh insert"})
【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0002-transcript", "tags": "iteration transcript", "modified": "20260424173549000", "preview": "!! 第 2 轮执行轨迹
→ ca"}, {"title": "Iter-4360dd15-0008-transcript", "tags": "iteration transcript", "modified": "20260424175230000", "preview": "!! 第 8 轮执行轨迹 → call search_memory({\\\"limit\\\":10,\\\"query\\\":\\\"4360dd15 rapamycin rapal"}, {"title": "Iter-4360dd15-0083-transcript", "tags": "iteration transcript", "modified": "20260424204550000", "preview": "!! 第 83 轮执行轨迹 【tool:search_memory】
{"ok": true, "results": [{"title": "Iter-4360dd15-0060-transcript", "tags": "iteration transcript", "modified": "20260424200117000", "preview": "!! 第 60 轮执行轨迹
→ call search_memory({\"limit\":10,\"query\":\"4360dd15 NEXT_FOCUS 剩余 10 条候