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113 lines
3.7 KiB
Markdown
113 lines
3.7 KiB
Markdown
# VERIFICATION LOG
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## 3-Agent Consensus Required. No exceptions.
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**Rule:** Every formula must be computed independently by 3 agents. All 3 must
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agree on every intermediate term and the final result to 6 decimal places. If
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any agent disagrees, STOP. Investigate. Do not proceed until agreement is
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reached.
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**Method:** Each agent receives the same formula and inputs but computes
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independently. No agent sees another's work. The orchestrator compares results.
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---
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## VERIFICATION 001: Fisher Distance d_F(p,q)
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**Formula:** d_F(p,q) = 2 · arccos( Σᵢ₌₁⁸ √(pᵢqᵢ) )
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**Inputs:**
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- p = (0.3, 0.1, 0.15, 0.05, 0.2, 0.08, 0.07, 0.05)
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- q = (0.2, 0.2, 0.1, 0.1, 0.15, 0.1, 0.1, 0.05)
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**Input validation:**
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- sum(p) = 1.0 ✓ (all 3 agents confirmed)
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- sum(q) = 1.0 ✓ (all 3 agents confirmed)
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- pᵢ > 0, qᵢ > 0 for all i ✓
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**Intermediate terms √(pᵢqᵢ):**
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| i | pᵢ | qᵢ | pᵢqᵢ | √(pᵢqᵢ) | Alpha | Beta | Gamma |
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|---|-----|-----|--------|----------|-------|------|-------|
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| 1 | 0.30 | 0.20 | 0.0600 | 0.24494897 | ✓ | ✓ | ✓ |
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| 2 | 0.10 | 0.20 | 0.0200 | 0.14142136 | ✓ | ✓ | ✓ |
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| 3 | 0.15 | 0.10 | 0.0150 | 0.12247449 | ✓ | ✓ | ✓ |
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| 4 | 0.05 | 0.10 | 0.0050 | 0.07071068 | ✓ | ✓ | ✓ |
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| 5 | 0.20 | 0.15 | 0.0300 | 0.17320508 | ✓ | ✓ | ✓ |
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| 6 | 0.08 | 0.10 | 0.0080 | 0.08944272 | ✓ | ✓ | ✓ |
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| 7 | 0.07 | 0.10 | 0.0070 | 0.08366600 | ✓ | ✓ | ✓ |
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| 8 | 0.05 | 0.05 | 0.0025 | 0.05000000 | ✓ | ✓ | ✓ |
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**Sum S:**
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| Agent | S | Match? |
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|-------|---|--------|
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| Alpha | 0.97586930 | ✓ |
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| Beta | 0.97586930 | ✓ |
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| Gamma | 0.97586930 | ✓ |
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**Final result d_F:**
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| Agent | d_F | Match? |
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|-------|-----|--------|
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| Alpha | 0.44025792 | ✓ |
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| Beta | 0.44025792 | ✓ |
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| Gamma | 0.44025792 | ✓ |
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**To 6 decimal places:** d_F(p,q) = **0.440258**
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**VERDICT: ✅ ALL 3 AGENTS AGREE — VERIFIED**
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---
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## VERIFICATION PROTOCOL TEMPLATE
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### Before verification:
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1. State the exact formula
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2. List all inputs with values
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3. Verify inputs are valid (sums, signs, bounds)
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### During verification:
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1. 3 agents compute independently
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2. Each agent shows all intermediate steps
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3. Each agent reports to 6 decimal places minimum
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4. No agent sees another's work until all complete
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### After verification:
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1. Compare all intermediate terms
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2. Compare final results
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3. If all agree to 6 decimal places: ✅ VERIFIED — log and proceed
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4. If any disagree: ❌ STOP — investigate, find error, recompute
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5. Log the result in this file
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### Required fields for each log entry:
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```
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VERIFICATION [number]: [formula name]
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Formula: [exact formula]
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Inputs: [all values]
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Input validation: [checks performed]
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Intermediate table: [each term, all 3 agents]
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Final result table: [each agent's result]
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Agreement: [YES/NO]
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Verified value: [consensus number]
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Status: [VERIFIED / REJECTED / PENDING]
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```
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---
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## STATUS BOARD
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| # | Formula | Status | Consensus Value | Date |
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|---|---------|--------|-----------------|------|
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| 001 | Fisher distance d_F(p,q) | ✅ VERIFIED | 0.440258 | 2026-06-23 |
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| 002 | √p embedding ‖φ(p)‖₂ | ⬜ PENDING | — | — |
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| 003 | Pair-averaging map C(p) | ⬜ PENDING | — | — |
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| 004 | Eigensolid idempotence C(C(p)) | ⬜ PENDING | — | — |
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| 005 | Contraction d_F(C(p),C(q)) | ⬜ PENDING | — | — |
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| 006 | Φ-corkscrew f(n) for test n | ⬜ PENDING | — | — |
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| 007 | Parse-tree τ("a+b=c") | ⬜ PENDING | — | — |
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| 008 | Product distance d_F((p,τ₁),(q,τ₂)) | ⬜ PENDING | — | — |
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| 009 | Information loss I_loss(p) | ⬜ PENDING | — | — |
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| 010 | Spiral index n(q) for test q | ⬜ PENDING | — | — |
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**Rule:** Status PENDING → 3-agent verification → VERIFIED or REJECTED.
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No formula moves from PENDING to VERIFIED without all 3 agents agreeing.
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