{
 "tm": "1RB0LE_1RC---_0RD0RB_1RE0LA_1RF0LF_1LD1RF",
 "bucket_reason": "Wave 6 W6-1, stage 2 of 2 ended: the informal proof is complete, and the formal proof is a large job that needs funding (2026-10-14).",
 "question": "W6-1 looks non-halting (SOBCv10's machine from another start, ending in a 919-step translated cycler): fund a planning stage for the formal proof, fund the full formalization, or park it?",
 "options": [
  {
   "id": "plan",
   "label": "Fund one 2 h formal-planning stage",
   "consequence": "Put the exit in Rocq: overflow lemma O, cycler lemma C, the raw-pass law T2 for k = 0..5 and the nested launch. Also state the tail-aware round lemma against SOBCv10.v, with an honest estimate of the cost to prove it. Stop there and ask again."
  },
  {
   "id": "formalize",
   "label": "Fund the full formalization now",
   "consequence": "Several stages (estimate 4-8 x 2 h). The main job is a copy of SOBCv10's round machinery (4,234 lines upstream) that carries the far-end tail through four rounds, plus the opening families."
  },
  {
   "id": "park",
   "label": "Park it with the informal proof",
   "consequence": "Costs nothing. proof.md and the checks stay in the folder, and Wave 6 moves on to other candidates."
  }
 ],
 "recommended": "plan",
 "rationale": [
  "The exit is exact in every check and robust (k = 6 always overflows into the cycler).",
  "Still open: the real-size path through four SOBCv10 rounds with a tail, a model on checked laws.",
  "A planning stage builds the cheap formal pieces and prices the big one first."
 ],
 "evidence": [
  {
   "kind": "fact",
   "text": "Informal proof, blank to cycler; section 7 lists what is proved, checked or model-only: proof.md",
   "href": "proof.md"
  },
  {
   "kind": "fact",
   "text": "Exit: decode trigger in exception 9, nested exceptions E' and E'', then a local overflow into the cycler. Formulas h_t = 4*2^W - S - 2 and h'' = 3*2^(W-1) - S - 2 exact on 52/52",
   "href": "work/s2/nested_a.out"
  },
  {
   "kind": "fact",
   "text": "Overflow lemma: 90/90, never reads the left; cycler +3 cells per 919 steps: 50/50",
   "href": "work/s2/overflow_check.out"
  },
  {
   "kind": "fact",
   "text": "Stage notes, with the correction to stage 1's P1/P2 reading: notes.md",
   "href": "notes.md"
  }
 ],
 "effort_if_yes": "plan: one 2 h stage, 1 coqc at a time; formalize: about 4-8 stages",
 "updated": "2026-10-14",
 "answer": {
  "option": "plan",
  "note": "",
  "date": "2026-10-14"
 }
}