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docs(sorry-protocol): add 3-agent verification rule + first verified formula d_F=0.440258

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Allaun Silverfox 2026-06-23 05:38:37 -05:00
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SORRY_PROTOCOL.md
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@ -8,6 +8,11 @@ author rather than verify the arithmetic.
**The rule:** Encounter a sorry → STOP → Assess → Decide → Only then proceed. **The rule:** Encounter a sorry → STOP → Assess → Decide → Only then proceed.
**The 3-agent rule:** Every formula must be verified by 3 independent agents.
All 3 must agree on every intermediate term and the final result to 6 decimal
places. If any agent disagrees, the formula is a SORRY. STOP. Investigate. All
3 must agree before the formula is accepted.
--- ---
## THE STOP PROTOCOL ## THE STOP PROTOCOL
@ -262,6 +267,66 @@ The wall:
--- ---
## THE 3-AGENT VERIFICATION PROCESS
```
FORMULA CLAIMED
│
▼
┌─────────────────────┐
│ Agent Alpha computes │ Independent. Shows all steps.
│ from scratch │ Reports to 6 decimal places.
└──────────┬──────────┘
│
┌────┴────┐
▼ ▼
┌─────────┐ ┌─────────┐
│ Agent │ │ Agent │ Independent. No sharing.
│ Beta │ │ Gamma │ Same formula, same inputs.
│ computes│ │ computes│ All steps shown.
│ scratch │ │ scratch │
└────┬────┘ └────┬────┘
│ │
└─────┬──────┘
▼
┌─────────────────────┐
│ Orchestrator compares│
│ all 3 results │
└──────────┬──────────┘
│
┌─────┴─────┐
▼ ▼
┌─────────┐ ┌─────────┐
│ ALL 3 │ │ ANY 2 │
│ AGREE │ │ DISAGREE│
│ │ │ │
│ ✓ Log │ │ ✗ STOP │
│ ✓ Accept│ │ ✗ Find │
│ ✓ Proceed│ │ error │
│ │ │ ✗ Recomp│
└─────────┘ └─────────┘
```
**Agreement means:** Every intermediate term matches to 6 decimal places.
The final result matches to 6 decimal places. No rounding differences. No
off-by-one in indices. Exact match.
**Disagreement means:** Any intermediate term or final result differs by
more than 10^{-6}. STOP. All 3 agents recompute. If disagreement persists,
the formula is a SORRY. Apply the STOP protocol.
---
## VERIFICATION LOG (formulas verified)
| # | Formula | Inputs | Consensus Value | Date | Status |
|---|---------|--------|-----------------|------|--------|
| 001 | d_F(p,q) = 2·arccos(Σ√(pᵢqᵢ)) | p=(0.3,0.1,0.15,0.05,0.2,0.08,0.07,0.05), q=(0.2,0.2,0.1,0.1,0.15,0.1,0.1,0.05) | 0.440258 | 2026-06-23 | ✅ VERIFIED |
See `VERIFICATION_LOG.md` for full details.
---
## NEXT ACTIONS ## NEXT ACTIONS
1. **Resolve S1-S3 (Chentsov):** WEAKEN theorem to invariance only. Write the 1. **Resolve S1-S3 (Chentsov):** WEAKEN theorem to invariance only. Write the