#!/usr/bin/env python3 """ DIRECTIVE: NO ASSUMPTIONS — Swarm Alert Injection Issues P0 CRITICAL directive to all OTOM swarm agents: - NO ASSUMPTIONS - NO GUESSES - NO LOGICAL LEAPS When the equation is complete, it must not be able to disprove itself. """ import sys import json import sqlite3 from datetime import datetime, timezone from pathlib import Path from typing import Dict, Any sys.path.insert(0, str(Path(__file__).parent.parent.parent / "4-Infrastructure" / "infra")) from lean_unified_shim import SwarmAPISystem def issue_no_assumptions_directive() -> Dict[str, Any]: """ Issue strict formal rigor directive to entire swarm. """ api = SwarmAPISystem() timestamp = datetime.now(timezone.utc).isoformat() directive = """ ╔══════════════════════════════════════════════════════════════════════════════╗ ║ DIRECTIVE: NO ASSUMPTIONS — P0 CRITICAL ║ ╚══════════════════════════════════════════════════════════════════════════════╝ AUTHORITY: Principal Investigator DATE: {timestamp} SCOPE: All OTOM Swarm Agents ENFORCEMENT: Triumvirate (Builder/Warden/Judge) ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ THE DIRECTIVE ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ NO ASSUMPTIONS. NO GUESSES. NO LOGICAL LEAPS. When the equation is complete, it MUST NOT be able to disprove itself. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ WHAT IS FORBIDDEN ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 1. ASSUMPTIONS WITHOUT EXPLICIT AXIOM FORBIDDEN: theorem foo : P := by sorry REQUIRED: explicit axiom registration with justification 2. GUESSES IN PROOF STRATEGY FORBIDDEN: simp -- "Hope this works" REQUIRED: explicit tactic chain with axiom references 3. LOGICAL LEAPS IN DERIVATIONS FORBIDDEN: "Follows from algebraic manipulation" REQUIRED: Step-by-step derivation with axiom citations 4. IMPLICIT DEPENDENCIES FORBIDDEN: Implicit assumption of normalization REQUIRED: Explicit hypothesis (h : Σ w = 1) 5. APPROXIMATIONS WITHOUT ERROR BOUNDS FORBIDDEN: ln(2) ≈ 0.693 REQUIRED: ln(2) = 0.693 ± 0.001 (explicit bound) ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ THE 6 EXPLICIT AXIOMS OF Φ_UNIVERSAL ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ All theorems derive from these 6 axioms ONLY: AXIOM 1: harmonicDef hᵢ = 1/(lnNᵢ)² [Definition of merit coefficient] AXIOM 2: penaltyDef pⱼ = 1/(lnNⱼ)² [Definition of penalty coefficient] AXIOM 3: reciprocalWeightedIdentity 1/x = x·(1/x²) [Algebraic identity] AXIOM 4: weightsNonNeg wᵢ, vⱼ ≥ 0 [Domain constraint] AXIOM 5: cardinalityConstraint Nᵢ, Mⱼ ≥ 2 [Binary minimum, avoids ln(1)=0] AXIOM 6: normalizationBounded Σw=1, Σv=1 → Φ ≤ 1 [Normalization constraint] THEOREM: If these 6 axioms are consistent, Φ is consistent. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ SELF-CONSISTENCY REQUIREMENT ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ The Golden Rule: When you finish the equation, it should not be able to disprove itself. Verification Checklist: □ Completeness: All hypotheses explicit □ Consistency: Axioms do not contradict □ Non-circularity: Proof DAG is acyclic □ Conservativity: New axioms don't falsify old theorems ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ SWARM PROTOCOL — WHEN YOU ENCOUNTER A GAP ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ DO NOT: ✗ Guess a proof strategy ✗ Insert 'sorry' with TODO ✗ Assume it "probably holds" ✗ Make a logical leap DO: 1. STOP — Do not proceed 2. IDENTIFY — What is missing? 3. EXPLICITIZE — Convert to explicit axiom 4. JUSTIFY — Why axiom vs theorem? 5. SCOPE — What depends on this? 6. DOCUMENT — Add to axiom registry 7. ESCALATE — Notify Warden if unsure ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ WARDEN VERIFICATION PROTOCOL ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ For each proof: 1. Trace every tactic to axiom/theorem 2. Verify no implicit assumptions 3. Check completeness (no 'sorry') 4. Validate no circular dependencies 5. Confirm no logical leaps 6. Sign off with hardware attestation ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ JUDGE ADJUDICATION CRITERIA ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ APPROVED only if: ✓ Zero 'sorry' in code ✓ All axioms explicitly registered ✓ All theorems derive from axioms ✓ Self-consistency verified ✓ No logical leaps ✓ No guesses ✓ No implicit assumptions REJECTED if: ✗ Any 'sorry' remains ✗ Implicit assumptions found ✗ Self-inconsistency detected ✗ Logical leaps identified ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ ENFORCEMENT ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Triumvirate: Builder: Must use explicit axioms only Warden: Must verify all steps traceable Judge: Must reject code with gaps Penalties: Implicit assumption → Revert commit 'sorry' in code → Block deployment Logical leap → Return to Builder Self-inconsistency → Escalate to PI ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ DOCUMENTATION ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ Full directive: 6-Documentation/docs/papers/DIRECTIVE_NO_ASSUMPTIONS.md Axiom registry: 0-Core-Formalism/lean/Semantics/Semantics/UniversalField.lean §4 Implementation: 0-Core-Formalism/lean/Semantics/Semantics/UniversalField.lean §5-6 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ THE SWARM OPERATES ON EXPLICIT AXIOMS ONLY. NO ASSUMPTIONS. NO GUESSES. NO LOGICAL LEAPS. When the equation is complete, it must not be able to disprove itself. """.format(timestamp=timestamp) # Inject into priority_alerts if api.conn: cursor = api.conn.cursor() cursor.execute(""" INSERT OR REPLACE INTO priority_alerts (entity_id, subject, name, statement, proof_status, formal_status, priority, requires_immediate_action, created_at) VALUES (?, ?, ?, ?, ?, ?, ?, ?, ?) """, ( f'DIRECTIVE_NO_ASSUMPTIONS_{timestamp.replace(":", "_")}', 'directive', '[P0] DIRECTIVE: NO ASSUMPTIONS — Strict Formal Rigor', directive, 'directive', 'enforced', 'P0', True, timestamp )) api.conn.commit() return { 'success': True, 'directive': 'NO_ASSUMPTIONS', 'timestamp': timestamp, 'scope': 'All OTOM Swarm Agents', 'enforcement': 'Triumvirate', 'axioms_defined': 6, 'status': 'ACTIVE' } else: return { 'success': False, 'error': 'Database not connected', 'directive_printed': True } def main(): print("="*70) print("DIRECTIVE: NO ASSUMPTIONS") print("="*70) print() result = issue_no_assumptions_directive() if result['success']: print(f"[✓] DIRECTIVE ISSUED: {result['directive']}") print() print(f"Scope: {result['scope']}") print(f"Enforcement: {result['enforcement']}") print(f"Axioms: {result['axioms_defined']} explicit axioms") print(f"Status: {result['status']}") print() print("="*70) print("STRICT FORMAL RIGOR ENFORCED") print() print("The Golden Rule:") print(" When the equation is complete, it must not") print(" be able to disprove itself.") print() print("All swarm agents must:") print(" □ Use explicit axioms only") print(" □ No 'sorry' in code") print(" □ No logical leaps") print(" □ No implicit assumptions") print() print("Documentation:") print(" 6-Documentation/docs/papers/DIRECTIVE_NO_ASSUMPTIONS.md") print("="*70) else: print(f"[✗] Failed: {result.get('error', 'Unknown')}") return result if __name__ == '__main__': main()