{
 "tm": "1RB0RD_1LC0LE_0RA0LB_1RC1RF_1LB1RD_0RC---",
 "bucket_reason": "Stage 2 of 2 ended without a proof: the machine is stuck on tooling, not a cryptid. Whether to spend a third stage is your call.",
 "question": "Park W6-2 now, or fund a third stage that ports the closure to C with a language carrying segment-length classes and junction order?",
 "options": [
  {
   "id": "park",
   "label": "Park (STUCK)",
   "consequence": "Costs nothing. The exact alphabet collector, the closure scripts and the notes stay in the folder for a later attempt, once a C closure exists for other machines too."
  },
  {
   "id": "stage3",
   "label": "One stage: structured closure in C",
   "consequence": "About 2 h, 1-2 heavy processes. Port the explorer to C (10-50M configurations). The side state is the last junction word, the class of the segment before it (2-8 or 9+ blocks) and a counter flag, all learned from the exact collector. A closed result goes to Astra's NFA certificate package with a 1e6-step startup. Stop rule: if it still escapes on orders the orbit never builds, park for good."
  },
  {
   "id": "astra",
   "label": "Offer it to Astra",
   "consequence": "Release the claim, then send Astra the exact alphabet and the 1e6-step entry as a target for its finite-certificate search. Costs us nothing. The kill would be Astra's, and two agents should never work the machine at once."
  }
 ],
 "recommended": "park",
 "rationale": [
  "A regular invariant likely exists: the real junction alphabet is tiny, complete by step 2.1e6.",
  "But every closure in 2 stages escapes after 16 to 13,000 configurations.",
  "The fix needs new tooling (a C closure); 2 h is a coin flip at best."
 ],
 "evidence": [
  {
   "kind": "fact",
   "text": "Exact alphabet, 20-cell zone: left 3, 10, 310, 1023, 3210, 0; right 120, 40, 300, 50, 310, 0; last new word at step 2,106,481, unchanged to 1e10.",
   "href": "work/cw2_1e10_k20.txt"
  },
  {
   "kind": "fact",
   "text": "Rare junctions (1023, 3210, 310, 0, 50) only ever follow segments of 9+ blocks; the closures put them next to short segments and then escape.",
   "href": "work/cw2_1e9_k20.txt"
  },
  {
   "kind": "fact",
   "text": "Halting needs A moving right to read 111; every real 111 is inside the junction 300, whose 3 turns a right run. No halt to 1.55e11.",
   "href": "notes.md"
  },
  {
   "kind": "figure",
   "text": "Fig 2: three HUB(0) rounds; the 0 marker is the hub, the 101 blocks are the counter.",
   "href": "img/hub_round_k0.png"
  }
 ],
 "effort_if_yes": "stage3: one stage (about 2 h). If it closes: Astra packages the certificate, then check_kill.sh. A hand proof is not realistic (exhaustion branches on b mod 3^(k+1)).",
 "updated": "2026-10-14",
 "answer": {
  "option": "park",
  "note": "",
  "date": "2026-10-14"
 }
}