v3/docs/ddd/coherence-engine/README.md
The Coherence Engine domain provides mathematical AI interpretability capabilities for Claude Flow V3 through the prime-radiant plugin. It enables rigorous coherence validation, spectral stability analysis, and causal reasoning using advanced mathematical frameworks including Sheaf Cohomology, Spectral Graph Theory, and Do-Calculus.
Ensure mathematical coherence and stability across all AI operations through rigorous validation gates that prevent contradictions, detect hallucinations, and verify multi-agent consensus.
Coherence Engine Domain
├── Coherence Validation (Core) # Sheaf Laplacian contradiction detection
├── Spectral Analysis (Core) # Stability and clustering analysis
├── Causal Inference (Supporting) # Do-calculus interventional queries
├── Consensus Verification (Core) # Multi-agent agreement validation
├── Topology Analysis (Supporting) # Quantum topology features
└── Type Theory (Generic) # HoTT proofs and verification
| Subdomain | Type | Complexity | Business Value |
|---|---|---|---|
| Coherence Validation | Core | High | Critical |
| Spectral Analysis | Core | High | High |
| Causal Inference | Supporting | High | Medium |
| Consensus Verification | Core | Medium | Critical |
| Topology Analysis | Supporting | High | Medium |
| Type Theory | Generic | High | Low |
┌─────────────────────────────────────────────────────────────────────────────────┐
│ Coherence Engine Domain │
├─────────────────────────────────────────────────────────────────────────────────┤
│ │
│ ┌─────────────────────────┐ │
│ │ Coherence Gate │ │
│ │ (Central Validator) │ │
│ └───────────┬─────────────┘ │
│ │ │
│ ┌───────────────────────────┼───────────────────────────┐ │
│ │ │ │ │
│ ▼ ▼ ▼ │
│ ┌───────────────┐ ┌───────────────┐ ┌───────────────┐ │
│ │ Cohomology │ │ Spectral │ │ Causal │ │
│ │ Engine │ │ Engine │ │ Engine │ │
│ ├───────────────┤ ├───────────────┤ ├───────────────┤ │
│ │ • Sheaf │ │ • Eigenvalue │ │ • Do-calculus │ │
│ │ Laplacian │ │ computation │ │ • Confounders │ │
│ │ • Energy │ │ • Spectral │ │ • Backdoor │ │
│ │ calculation │ │ gap │ │ paths │ │
│ └───────────────┘ └───────────────┘ └───────────────┘ │
│ │ │ │ │
│ └───────────────────────────┼───────────────────────────┘ │
│ │ │
│ ▼ │
│ ┌─────────────────────────┐ │
│ │ Supporting Services │ │
│ ├─────────────────────────┤ │
│ │ • Quantum Engine │ │
│ │ • Category Engine │ │
│ │ • HoTT Engine │ │
│ └─────────────────────────┘ │
│ │
└─────────────────────────────────────────────────────────────────────────────────┘
│
Integration with Claude Flow V3
│
┌────────────────────────────┼────────────────────────────┐
│ │ │
▼ ▼ ▼
┌───────────────┐ ┌───────────────┐ ┌───────────────┐
│ Memory │ │ Coordination │ │ Security │
│ Domain (V3) │ │ Domain (V3) │ │ Domain (V3) │
├───────────────┤ ├───────────────┤ ├───────────────┤
│ Shared Kernel │ │ Shared Kernel │ │ Conformist │
│ (Pre-storage │ │ (Consensus │ │ (Input │
│ coherence │ │ verification)│ │ validation) │
│ gate) │ │ │ │ │
└───────────────┘ └───────────────┘ └───────────────┘
| Coherence Context | V3 Domain | Relationship | Description |
|---|---|---|---|
| Coherence Validation | Memory | Shared Kernel | Pre-storage coherence gate |
| Spectral Analysis | Coordination | Shared Kernel | Swarm stability metrics |
| Consensus Verification | Hive-Mind | Shared Kernel | Mathematical consensus check |
| Causal Inference | Security | Conformist | Attack pattern analysis |
| Topology Analysis | Memory | Customer-Supplier | Vector cluster analysis |
Responsibility: Detect contradictions using Sheaf Laplacian energy
Core Concepts:
Ubiquitous Language:
Key Operations:
// Check coherence of vector set
checkCoherence(vectors: Float32Array[]): CoherenceResult
// Validate memory entry against context
validate(entry: MemoryEntry, context: MemoryEntry[]): CoherenceValidation
// Batch validation with progressive context
validateBatch(entries: MemoryEntry[]): CoherenceValidation[]
Responsibility: Analyze stability using spectral graph theory
Core Concepts:
Ubiquitous Language:
Key Operations:
// Compute eigenvalues of adjacency matrix
computeEigenvalues(adjacencyMatrix: Float32Array): Float32Array
// Analyze stability of a system
analyzeSpectral(adjacencyMatrix: Float32Array): SpectralResult
// Detect clustering patterns
detectClusters(adjacencyMatrix: Float32Array): ClusterResult
Responsibility: Do-calculus based causal reasoning
Core Concepts:
Ubiquitous Language:
Key Operations:
// Estimate causal effect
estimateEffect(treatment: string, outcome: string, graph: CausalGraph): number
// Identify confounding variables
identifyConfounders(treatment: string, outcome: string, graph: CausalGraph): string[]
// Find backdoor paths
findBackdoorPaths(treatment: string, outcome: string, graph: CausalGraph): string[][]
Responsibility: Mathematical validation of multi-agent agreement
Core Concepts:
Ubiquitous Language:
Key Operations:
// Verify consensus mathematically
verifyConsensus(agentStates: AgentState[]): ConsensusVerification
// Check vote coherence
checkVoteCoherence(votes: Vote[]): CoherenceResult
// Analyze agreement patterns
analyzeAgreement(agentStates: AgentState[]): AgreementAnalysis
Responsibility: Quantum topology for structural analysis
Core Concepts:
Ubiquitous Language:
Key Operations:
// Compute Betti numbers
computeBettiNumbers(points: Float32Array[], dimension: number): number[]
// Generate persistence diagram
computePersistenceDiagram(points: Float32Array[]): [number, number][]
// Count homology classes
countHomologyClasses(points: Float32Array[], dimension: number): number
Responsibility: Homotopy Type Theory proofs and verification
Core Concepts:
Ubiquitous Language:
Key Operations:
// Verify a proof
verifyProof(proposition: string, proof: string): boolean
// Infer type of a term
inferType(term: string): string
// Normalize a term
normalize(term: string): string
| Engine | Purpose | Performance |
|---|---|---|
| CohomologyEngine | Sheaf Laplacian coherence | <5ms per check |
| SpectralEngine | Eigenvalue stability | <20ms for 100x100 |
| CausalEngine | Do-calculus inference | <10ms per query |
| QuantumEngine | Persistent homology | <50ms per computation |
| CategoryEngine | Functor/morphism ops | <5ms per operation |
| HottEngine | Type theory proofs | <10ms per verification |
All Coherence Engine data is stored under the pr/ namespace prefix:
| Namespace | Purpose | Description |
|---|---|---|
pr/coherence-checks | Validation history | Records of coherence validations |
pr/stability-metrics | Stability data | Swarm stability measurements |
pr/causal-models | Causal graphs | Stored causal relationship models |
pr/topology-features | Topological data | Computed topological features |
pre-memory-store - Coherence gate before storageCoherentMemoryService - Extended memory with coherencepre-consensus - Consensus coherence validationpost-swarm-task - Stability analysis after tasksCoherentHiveMind - Extended hive-mind with verificationpre-rag-retrieval - Hallucination prevention