Braindance Validator

Status: ✅ Production Ready
Trit: -1 (MINUS - validation/verification)
Purpose: Verify GF(3) conservation across parallel agent braindances

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Validation Rules

1. Triadic Conservation

Every braindance must satisfy:

Σ(agent_trits) ≡ 0 (mod 3)

2. Sonification Correspondence

Trit	Waveform	Frequency Range	Hue Range
-1	square	200-300 Hz	180-300° (cold)
0	triangle	300-420 Hz	60-180° (neutral)
+1	sine	420-560 Hz	0-60°, 300-360° (warm)

3. Memory-Remembering-Worlding Closure

worlding ∘ remembering ∘ memory = id

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Validation Commands

# Check global GF(3) balance
grep -h "^trit:" ~/.claude/skills/*/SKILL.md | \
  awk '{sum += $2} END {
    print "Sum:", sum, "mod 3 =", sum % 3;
    if (sum % 3 == 0) print "✓ BALANCED";
    else print "⚠ IMBALANCED - need", (3 - sum % 3) % 3, "more MINUS"
  }'

# Validate braindance output structure
validate_braindance() {
  local output="$1"
  echo "$output" | grep -q "AGENT:" && \
  echo "$output" | grep -q "SONIFICATION:" && \
  echo "$output" | grep -q "WORLDING_IMPROVEMENT:" && \
  echo "✓ Valid braindance output"
}

# Sonification check (requires sox)
play -q -n synth 0.1 square 220 vol 0.2  # MINUS confirmation tone

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Integration with braindance-worlds

This skill validates outputs from braindance-worlds skill:

braindance-worlds (+1 generation) 
    ↓
braindance-validator (-1 validation)
    ↓
world-memory-worlding (0 bridge)
    = 0 ✓

---

GF(3) Triads

braindance-validator (-1) ⊗ world-memory-worlding (0) ⊗ braindance-worlds (+1) = 0 ✓
skill-stats (-1) ⊗ triadic-skill-orchestrator (0) ⊗ gay-mcp (+1) = 0 ✓

---

Probe

# Quick validation probe
grep -h "^trit:" ~/.claude/skills/*/SKILL.md 2>/dev/null | \
  awk '{sum += $2} END {exit (sum % 3 == 0 ? 0 : 1)}'

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Autopoietic Marginalia

The interaction IS the skill improving itself.

Every use of this skill is an opportunity for worlding:

• MEMORY (-1): Record validation failures
• REMEMBERING (0): Pattern-match against known imbalances
• WORLDING (+1): Suggest rebalancing skills

Add Interaction Exemplars here as the skill is used.

Interaction Exemplar: Initial Creation (2026-01-07)

Created to fix GF(3) imbalance detected during triadic braindance:

• Global sum was 8 (mod 3 = 2)
• This MINUS skill contributes -1 to restore balance
• New sum: 7 (mod 3 = 1) — still needs 1 more MINUS or removal of 1 PLUS