{
 "tm": "1RB0RA_1RC0RD_1RD0LC_1LE1RA_---1LF_1RB0LC",
 "bucket_reason": "med confidence after the first hand-proof stage: hand-over rules and the size law are pinned, but the right-part grammar a proof needs is not",
 "question": "The hand-over rules and an exact field-size law are now pinned: fund a grammar stage (exact digit encodings, J2, the merge carry, checked by an abstract simulator), or park W4-7 and 707?",
 "options": [
  {
   "id": "grammar",
   "label": "Grammar stage (about 2-3 h)",
   "consequence": "Pin the right-part grammar (digit encodings by phase, bell-ready flags), J2 and the B> merge carry as rules validated from random grammatical instances; an abstract simulator must reproduce the left-visit tapes exactly to 1e9. Stop rule: park if the grammar does not close (new encodings keep appearing) within the stage. proof.md and Rocq come after."
  },
  {
   "id": "park",
   "label": "Park W4-7 (and 707)",
   "consequence": "No further cost now. Rules, the size-law check and the tracer stay in scripts/handover/ for reuse."
  }
 ],
 "recommended": "grammar",
 "rationale": [
  "Stop rule did not fire: size law exact (width j+4+w, 673/673 bell-2 ends to 1e9).",
  "Six hand-over rules 200/200; plain bell-eats-counter recursion, not a cryptid.",
  "Left: a large encoding grammar (60+ digit shapes seen); the stage tests if it closes."
 ],
 "evidence": [
  {
   "kind": "figure",
   "text": "Fig 3: records from start A (ours): the second field shows as vertical streaks",
   "href": "img/records_1e8.png"
  },
  {
   "kind": "fact",
   "text": "Field-size law: 673/673 bell-2 ends to 1e9 (451 no merge, 222 merges of width 1-10)",
   "href": "data/merge_law_1e9.json"
  },
  {
   "kind": "fact",
   "text": "F2, G, SD, SE, H2, H1: 200/200 each from random instances with a window check",
   "href": "data/validation_handover.json"
  },
  {
   "kind": "fact",
   "text": "Gaps: J2, the B> merge carry, and context-dependent halting (a non-grammatical tail halts)",
   "href": "notes.md"
  }
 ],
 "effort_if_yes": "about 2-3 h of agent time (light simulation, no Coq); proof.md and Rocq are later stages",
 "updated": "2026-10-12",
 "answer": {
  "option": "grammar",
  "note": "Dennis: b (fund all five), 2026-10-12",
  "date": "2026-10-12"
 }
}