# VERIFICATION LOG
## 3-Agent Consensus Required. No exceptions.

**Rule:** Every formula must be computed independently by 3 agents. All 3 must
agree on every intermediate term and the final result to 6 decimal places. If
any agent disagrees, STOP. Investigate. Do not proceed until agreement is
reached.

**Method:** Each agent receives the same formula and inputs but computes
independently. No agent sees another's work. The orchestrator compares results.

---

## VERIFICATION 001: Fisher Distance d_F(p,q)

**Formula:** d_F(p,q) = 2 · arccos( Σᵢ₌₁⁸ √(pᵢqᵢ) )

**Inputs:**
- 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)

**Input validation:**
- sum(p) = 1.0 ✓ (all 3 agents confirmed)
- sum(q) = 1.0 ✓ (all 3 agents confirmed)
- pᵢ > 0, qᵢ > 0 for all i ✓

**Intermediate terms √(pᵢqᵢ):**

| i | pᵢ | qᵢ | pᵢqᵢ | √(pᵢqᵢ) | Alpha | Beta | Gamma |
|---|-----|-----|--------|----------|-------|------|-------|
| 1 | 0.30 | 0.20 | 0.0600 | 0.24494897 | ✓ | ✓ | ✓ |
| 2 | 0.10 | 0.20 | 0.0200 | 0.14142136 | ✓ | ✓ | ✓ |
| 3 | 0.15 | 0.10 | 0.0150 | 0.12247449 | ✓ | ✓ | ✓ |
| 4 | 0.05 | 0.10 | 0.0050 | 0.07071068 | ✓ | ✓ | ✓ |
| 5 | 0.20 | 0.15 | 0.0300 | 0.17320508 | ✓ | ✓ | ✓ |
| 6 | 0.08 | 0.10 | 0.0080 | 0.08944272 | ✓ | ✓ | ✓ |
| 7 | 0.07 | 0.10 | 0.0070 | 0.08366600 | ✓ | ✓ | ✓ |
| 8 | 0.05 | 0.05 | 0.0025 | 0.05000000 | ✓ | ✓ | ✓ |

**Sum S:**

| Agent | S | Match? |
|-------|---|--------|
| Alpha | 0.97586930 | ✓ |
| Beta | 0.97586930 | ✓ |
| Gamma | 0.97586930 | ✓ |

**Final result d_F:**

| Agent | d_F | Match? |
|-------|-----|--------|
| Alpha | 0.44025792 | ✓ |
| Beta | 0.44025792 | ✓ |
| Gamma | 0.44025792 | ✓ |

**To 6 decimal places:** d_F(p,q) = **0.440258**

**VERDICT: ✅ ALL 3 AGENTS AGREE — VERIFIED**

---

## VERIFICATION PROTOCOL TEMPLATE

### Before verification:
1. State the exact formula
2. List all inputs with values
3. Verify inputs are valid (sums, signs, bounds)

### During verification:
1. 3 agents compute independently
2. Each agent shows all intermediate steps
3. Each agent reports to 6 decimal places minimum
4. No agent sees another's work until all complete

### After verification:
1. Compare all intermediate terms
2. Compare final results
3. If all agree to 6 decimal places: ✅ VERIFIED — log and proceed
4. If any disagree: ❌ STOP — investigate, find error, recompute
5. Log the result in this file

### Required fields for each log entry:
```
VERIFICATION [number]: [formula name]
Formula: [exact formula]
Inputs: [all values]
Input validation: [checks performed]
Intermediate table: [each term, all 3 agents]
Final result table: [each agent's result]
Agreement: [YES/NO]
Verified value: [consensus number]
Status: [VERIFIED / REJECTED / PENDING]
```

---

## STATUS BOARD

| # | Formula | Status | Consensus Value | Date |
|---|---------|--------|-----------------|------|
| 001 | Fisher distance d_F(p,q) | ✅ VERIFIED | 0.440258 | 2026-06-23 |
| 002 | √p embedding ‖φ(p)‖₂ | ⬜ PENDING | — | — |
| 003 | Pair-averaging map C(p) | ⬜ PENDING | — | — |
| 004 | Eigensolid idempotence C(C(p)) | ⬜ PENDING | — | — |
| 005 | Contraction d_F(C(p),C(q)) | ⬜ PENDING | — | — |
| 006 | Φ-corkscrew f(n) for test n | ⬜ PENDING | — | — |
| 007 | Parse-tree τ("a+b=c") | ⬜ PENDING | — | — |
| 008 | Product distance d_F((p,τ₁),(q,τ₂)) | ⬜ PENDING | — | — |
| 009 | Information loss I_loss(p) | ⬜ PENDING | — | — |
| 010 | Spiral index n(q) for test q | ⬜ PENDING | — | — |

**Rule:** Status PENDING → 3-agent verification → VERIFIED or REJECTED.
No formula moves from PENDING to VERIFIED without all 3 agents agreeing.