{
 "tm": "1RB0RA_1RC0RD_1RD0LC_1LE1RA_---1LF_1RB0LC",
 "bucket_reason": "med confidence after the grammar stage: 6 encodings and a digit-level rule set fit 99.29% of the run, but a narrow top case is not pinned",
 "question": "The grammar stage found 6 digit encodings and a digit-level rule set that reproduce 1,540 consecutive turns exactly: fund one more stage to pin the top case and run the check to 1e9, or park W4-7 and 707?",
 "options": [
  {
   "id": "grammar2",
   "label": "Close the top case (about 2 h)",
   "consequence": "Pin the width-0 bell and narrow-top merge forms (the 111/1111 tops) as rules validated from random instances, extend the abstract simulator until it matches every marker turn to 1e9. Stop rule: park if new top forms keep appearing. Then proof.md, then Rocq."
  },
  {
   "id": "park",
   "label": "Park W4-7 (and 707)",
   "consequence": "No further cost now. Grammar, rules, abstract simulator and checks stay in scripts/grammar/ for reuse."
  }
 ],
 "recommended": "grammar2",
 "rationale": [
  "Stop rule did not fire: 6 encodings fit 99.29% of 227,415 marker turns to 1e9.",
  "Pass rule 600/600 from random instances; abstract run exact for 1,540 turns.",
  "Left: one narrow top-of-counter case (0.71%), first mismatch at step 2,083,626."
 ],
 "evidence": [
  {
   "kind": "figure",
   "text": "Fig 3: records from start A (ours): the nested fields show as streaks",
   "href": "img/records_1e8.png"
  },
  {
   "kind": "fact",
   "text": "Census to 1e9: 225,804 / 227,415 marker turns in 6 encodings; the 1,611 others all end in a 111/1111 top",
   "href": "data/grammar_census_1e9.json"
  },
  {
   "kind": "fact",
   "text": "One bell-1 pass from random grammatical instances: 600/600 (562 ordinary, 38 H1)",
   "href": "data/validation_grammar_R600.json"
  },
  {
   "kind": "fact",
   "text": "Abstract simulator: 1,540 consecutive marker turns exact from step 1,016,724; first mismatch at 2,083,626 (top case)",
   "href": "data/absim_orbit_check.json"
  }
 ],
 "effort_if_yes": "about 2 h of agent time (light simulation, no Coq); proof.md and Rocq are later stages",
 "updated": "2026-10-12",
 "answer": {
  "option": "grammar2",
  "note": "Dennis 2026-10-12: 'fund w4-7'",
  "date": "2026-10-12"
 }
}