aisp-and-coherence-engine-ruv-vibecast.md

AISP + Coherence Engine Integration

Final Specification — Two Orthogonal Complements

Version: 4.0 (Final)
Date: January 22, 2026
Core Insight: AISP and Coherence Engine are orthogonal complements — AISP ensures precise communication (spec-time), Coherence ensures consistent state (run-time)

---

The Fundamental Distinction

System	Core Question	When
AISP	"Is what I'm saying unambiguous?"	Spec-time / Compile-time
Coherence Engine	"Does reality still fit together?"	Run-time / State-time

Neither replaces the other. A full system needs both.

---

One-Page Summary

Aspect	AISP	Coherence Engine
Analogy	Precise recipe	Kitchen that detects when ingredients conflict
Measures	Ambiguity (Ambig < 0.02)	Incoherence (Energy E)
Quality Score	δ (density)	E (energy)
Good =	High δ (≥ 0.75)	Low E (near 0)
Bad =	Low δ (ambiguous)	High E (inconsistent)
Gate	δ < 0.60 → no deploy	E > threshold → escalate
Proof	⟦Ε⟧ evidence block	WitnessRecord with hash chain
Learning	Hebbian 10:1 penalty	SONA + GNN + EWC++
Math	Category Theory + ΠΣ Types	Sheaf Laplacian + Category Theory
Target	AI-to-AI communication	AI-to-reality consistency

---

What Each System Cannot Do

Understanding boundaries is critical for proper integration:

AISP Cannot	Coherence Engine Cannot
Detect runtime state inconsistency	Reduce spec ambiguity
Know if reality matches the spec	Make specs more precise
Monitor live system health	Improve AI-to-AI communication
Detect sensor disagreement	Enforce document structure
Verify execution correctness	Validate specification quality

Integration Principle: Each system handles what the other cannot.

---

Part 1: Phase-Based Integration

The systems integrate across the full lifecycle:

Phase 1: Design (AISP Only)

Owner: AISP
Purpose: Create unambiguous specifications

AISP Actions:

• Write specification using Σ_512 symbol vocabulary
• Structure with required blocks: ⟦Ω⟧, ⟦Σ⟧, ⟦Γ⟧, ⟦Λ⟧, ⟦Ε⟧
• Define types, rules, functions, error handlers
• Ensure single-token semantics (each symbol has exactly one meaning)

Quality Target: Ambig(D) < 0.02

Coherence Role: None at this phase

---

Phase 2: Compile/Validate (AISP Only)

Owner: AISP
Purpose: Verify specification quality before deployment

AISP Actions:

• Parse specification into AST
• Compute density score δ
• Verify well-formedness (grammar compliance)
• Check completeness φ (required blocks present)
• Assign quality tier τ
• Generate ⟦Ε⟧ evidence block

Gate Decision:

• δ ≥ 0.75 → Tier ◊⁺⁺ (Platinum) — Ready for production
• δ ≥ 0.60 → Tier ◊⁺ (Gold) — Ready for deployment
• δ ≥ 0.40 → Tier ◊ (Silver) — Acceptable with monitoring
• δ ≥ 0.20 → Tier ◊⁻ (Bronze) — Needs review
• δ < 0.20 → Tier ⊘ (Reject) — Do not deploy

Coherence Role: None at this phase

---

Phase 3: Deploy (Handoff Point)

Owner: Both — this is the integration boundary
Purpose: Transform validated spec into runtime entity

AISP Actions:

• Package specification into Pocket structure
• Generate Header with content-addressed ID: ℋ.id = SHA256(𝒩)
• Compute Signal embedding: V = V_H ⊕ V_L ⊕ V_S
• Initialize Membrane with default affinity map
• Optionally compile to LLVM IR or WASM

Coherence Actions:

• Receive Pocket as SheafNode
• Verify CAS integrity: confirm SHA256(Nucleus) = Header.id
• Register node in SheafGraph with state = Signal (1536-dim)
• Initialize edges based on existing graph structure
• Set initial energy baseline

Mapping at Deploy:

AISP Component	Coherence Component	Transfer
ℋ.id (Hash)	NodeId	Direct copy
ℋ.V (Signal)	Node state vector	Direct copy (1536-dim)
ℋ.f (Flags)	Node metadata.flags	Direct copy
ℳ (Membrane)	Edge weight source	Will sync at runtime
𝒩.def (Spec)	Constraint reference	Reference only
⟦Ε⟧.δ (Density)	Initial quality weight	Influences energy interpretation
⟦Ε⟧.τ (Tier)	Initial lane suggestion	Maps to compute lane

---

Phase 4: Execute (Coherence Primary, AISP Reference)

Owner: Coherence Engine
Purpose: Monitor state consistency during execution

Coherence Actions:

• Compute residuals for all edges: r_e = ρ_source(x_source) - ρ_target(x_target)
• Aggregate into global energy: E = Σ w_e |r_e|²
• Evaluate gate based on energy thresholds
• Assign compute lane (Reflex / Retrieval / Heavy / Human)
• Create WitnessRecord for every gate decision
• Monitor for persistent incoherence

Gate Thresholds:

Energy Level	Lane	Latency	Action
E < ε₀	0 (Reflex)	<1ms	Proceed without additional checks
ε₀ ≤ E < ε₁	1 (Retrieval)	~10ms	Fetch additional context
ε₁ ≤ E < ε₂	2 (Heavy)	~100ms	Deep reasoning required
E ≥ ε₂	3 (Human)	Async	Escalate to human

AISP Role at Execute:

• Tier from ⟦Ε⟧ provides default lane suggestion
• Spec defines expected behaviors (reference for anomaly detection)
• Binding function Δ⊗λ determines edge existence

Combined Lane Decision:

• AISP tier suggests: ◊⁺⁺→Reflex, ◊⁺→Reflex/Retrieval, ◊→Retrieval, ◊⁻→Heavy, ⊘→Human
• Coherence energy suggests: Low→Reflex, Medium→Retrieval, High→Heavy, Critical→Human
• Final lane = max(tier_suggestion, energy_suggestion) — always take more conservative

---

Phase 5: Coordinate (Both Systems Active)

Owner: Both
Purpose: Manage multi-entity interactions

AISP Actions:

• Evaluate binding compatibility: Δ⊗λ(A, B)
• Determine binding state: Crash(0), Null(1), Adapt(2), Zero(3)
• Update membrane affinity based on interaction outcome
• Apply DCE optimization for zero-cost bindings

Coherence Actions:

• Create/update edges based on binding state
• Compute edge-specific residuals
• Derive restriction maps from binding semantics
• Monitor coordination energy

Binding → Edge Mapping:

Δ⊗λ State	Edge Created	Edge Weight	Restriction Map	Expected Residual
0 (Crash)	No	—	—	Infinite (never compute)
1 (Null)	Yes	0.3 (weak)	Minimal common interface	High (expected)
2 (Adapt)	Yes	0.6 (medium)	Learned transformation	Moderate (acceptable)
3 (Zero)	Yes	1.0 (strong)	Identity	Near-zero (required)

Residual Interpretation:

• Zero-cost binding + residual > 0.01: Contract violation — escalate
• Adapt binding + residual > 2× expected: Adaptation drift — investigate
• Null binding + residual > 1.0: Socket strain — acceptable but monitor

---

Phase 6: Learn (Both Systems Active)

Owner: Both with coordination
Purpose: Improve future performance from outcomes

AISP Hebbian Learning:

Event	Affinity Update	Confidence Update
Success	aff[A,B] += 1	conf' = σ(logit(conf) + 0.1)
Failure	aff[A,B] -= 10	conf' = σ(logit(conf) - 0.05)

Key: 10:1 asymmetry means failures are heavily penalized

Skip Threshold: aff[A,B] < τ_v (0.7) → skip future attempts with B

Coherence SONA Learning:

Loop	Timing	Mechanism	Purpose
Instant	<0.05ms	Micro-LoRA	Immediate threshold adjustment
Background	Async	Base-LoRA	Gradual optimization
Consolidation	Periodic	EWC++	Prevent catastrophic forgetting

Learning Coordination:

Event	AISP Action	Coherence Action	Cross-System
Success	aff += 1, conf boost	Confirm threshold	Store low-energy pattern
Failure	aff -= 10, conf reduce	Adapt threshold	Lower threshold for scope
Pattern emerges	—	Store in ReasoningBank	—
Periodic	Check eviction	EWC++ consolidate	Sync confidence to weights

Unified Skip Decision:

1. Check AISP: aff < τ_v?
2. Check Coherence: repeated failures in ReasoningBank?
3. Check Energy: edge energy > threshold?
4. Skip if ANY condition true

---

Phase 7: Audit (Both Systems Contribute)

Owner: Both
Purpose: Provide complete provenance trail

AISP Evidence (⟦Ε⟧):

• δ: Density score at compile time
• φ: Completeness percentage
• τ: Quality tier assigned
• ⊢: List of formal proofs

Coherence Witness:

• Energy snapshot at decision time
• Gate decision (allow/deny)
• Compute lane assigned
• Policy bundle reference
• Previous witness hash (chain)

Unified Audit Record:

Field	Source	Purpose
spec_delta	AISP ⟦Ε⟧	Spec quality at compile
spec_tier	AISP ⟦Ε⟧	Quality classification
spec_proofs	AISP ⟦Ε⟧	Formal guarantees
coherence_energy	Coherence	Runtime consistency
gate_decision	Coherence	Action taken
compute_lane	Coherence	Resource level used
binding_state	Both	Coordination compatibility
timestamp	Coherence	When decision made
previous_hash	Coherence	Chain integrity
content_hash	Both	Record integrity

Unified Quality Score:

unified_quality = (0.5 × δ) + (0.5 × (1 - min(E, 1)))

Combines spec quality with runtime coherence.

---

Phase 8: Fail (Both Systems Contribute)

Owner: Both
Purpose: Handle failures safely

AISP Failure Modes:

Failure	Detection	Response
Tier ⊘	δ < 0.20	Do not deploy
Ambiguity	Ambig ≥ 0.02	Reject and clarify
Parse error	Grammar violation	Reject with error location
CAS mismatch	SHA256(𝒩) ≠ ℋ.id	Quarantine pocket

Coherence Failure Modes:

Failure	Detection	Response
High energy	E ≥ ε₂	Escalate to human
Persistent incoherence	E > threshold for duration	Force escalation
Safety violation	V_S residual > critical	Immediate block
Spectral drift	Eigenvalue shift > threshold	Alert and investigate

Coordinated Failure Handling:

1. Log failure with full context (AISP evidence + Coherence witness)
2. Update learning (AISP: aff -= 10, Coherence: adapt threshold)
3. Isolate affected region (Coherence: MinCut if needed)
4. Notify appropriate handler (based on lane)
5. Record in witness chain for audit

---

Part 2: Module Architecture

Module A: aisp-coherence

Purpose: Bridge AISP spec-time artifacts to Coherence run-time substrate

A.1 Signal Integration

AISP Provides:

• Signal structure: V_H (768) ⊕ V_L (512) ⊕ V_S (256) = 1536 dimensions
• Orthogonality guarantee: V_H ∩ V_S = ∅, V_L ∩ V_S = ∅
• Lossless property: Signal can be decomposed and reconstructed

Coherence Uses:

• Full 1536-dim as node state vector
• Subspace-aware energy computation
• Safety-weighted residuals (V_S weighted highest)

Integration Specification:

Signal Subspace	Dimension Range	Energy Weight	Rationale
V_H (Semantic)	0-767	0.25	Meaning similarity
V_L (Structural)	768-1279	0.25	Topology alignment
V_S (Safety)	1280-1535	0.50	Orthogonal = unforgeable

Safety Gate Rule:

• Any non-zero V_S residual indicates genuine safety constraint violation
• V_S violations cannot be masked by V_H/V_L similarity (orthogonality)
• V_S residual > critical_threshold → immediate block regardless of other factors

---

A.2 Pocket Integration

AISP Provides:

• Pocket structure: 𝒫 = ⟨ℋ, ℳ, 𝒩⟩
• Immutability physics: ∂𝒩 ⇒ ∂ℋ.id, ∂ℳ ⇏ ∂ℋ.id
• CAS addressing: ℋ.id = SHA256(𝒩)

Coherence Uses:

• Pocket as SheafNode (not converted — IS the node)
• Membrane affinity as edge weight source
• Nucleus hash for integrity verification

Integration Specification:

Pocket Part	Mutability	Coherence Mapping	Sync Behavior
ℋ.id	Immutable	NodeId	One-time at deploy
ℋ.V	Immutable	Node state	One-time at deploy
ℋ.f	Immutable	Node metadata	One-time at deploy
ℳ.aff	Mutable	Edge weights	Continuous sync
ℳ.conf	Mutable	Reliability weight	Continuous sync
ℳ.use	Mutable	Activity tracking	Continuous sync
𝒩	Immutable	Constraint reference	Reference only

Membrane → Edge Sync Rules:

1. For each (target, affinity) in ℳ.aff:
   • If affinity < τ_v: remove edge if exists
   • If affinity ≥ τ_v: upsert edge with weight = sigmoid(affinity × 0.1)
2. Sync on every membrane change
3. Edge removal is lazy (mark, don't delete immediately)

---

A.3 Search Integration

AISP Provides:

• Intelligence Engine: ⊞ (scan), ψ_g (ghost), Run (beam search)
• RossNet scoring: μ_f = σ(θ₁·sim_H + θ₂·fit_L + θ₃·aff_M)
• Risk scoring: μ_r = Σ r(x) + λ_r·|p|
• Viability check: viable(b) ⇔ |⊞(ψ_g(b))| > 0

Coherence Adds:

• Energy-based candidate filtering
• Coherence term in fitness
• Path energy in risk
• Structural gap detection in ghost

Integration Specification:

AISP Component	Coherence Enhancement	Combined Behavior
⊞ (scan)	Filter by local energy	Return only candidates with E < threshold
ψ_g (ghost)	High-energy edges	Ghost includes structural tensions
μ_f (fitness)	Add θ₄·coh_E term	coh_E = 1 - min(local_energy, 1)
μ_r (risk)	Add λ_e·E(path)	Path energy contributes to risk
viable(b)	Check coherent path exists	Must have low-energy route to goal
✂ (prune)	Triple gate	Prune if risk OR energy OR safety violated

Augmented Formulas:

• Fitness: μ_f(x) = σ(θ₁·sim_H + θ₂·fit_L + θ₃·aff_M + θ₄·coh_E)
• Risk: μ_r(p) = Σ r(x) + λ_r·|p| + λ_e·E(p)
• Prune: μ_r(b) > τ OR E(b) > ε OR safety_violated(b) ⇒ ✂(b)

---

A.4 Binding Integration

AISP Provides:

• Binding function: Δ⊗λ(A, B) → {0, 1, 2, 3}
• Binding semantics:
  • 0 (Crash): Logic(A) ∩ Logic(B) ⇒ ⊥
  • 1 (Null): Sock(A) ∩ Sock(B) = ∅
  • 2 (Adapt): Type(A) ≠ Type(B)
  • 3 (Zero): Post(A) ⊆ Pre(B)
• DCE optimization: Δ⊗λ = 3 ⇒ Strip(B.checks)

Coherence Uses:

• Binding state determines edge existence and weight
• Binding semantics determine restriction map
• Binding state determines residual interpretation

Integration Specification:

Binding	Edge	Weight	ρ Derivation	Residual Meaning
Crash (0)	None	—	—	Do not compute
Null (1)	Create	0.3	Project to Sock(A) ∩ Sock(B)	Socket alignment
Adapt (2)	Create	0.6	Learn from successful adaptations	Transformation accuracy
Zero (3)	Create	1.0	Identity (no transformation)	Contract compliance

Restriction Map Derivation:

• Zero: ρ = I (identity matrix, same dimension)
• Adapt: ρ = learned via GNN from (Post(A), Pre(B)) pairs
• Null: ρ = projection matrix to common socket interface
• Crash: no ρ (no edge)

---

A.5 Learning Integration

AISP Provides:

• Hebbian updates: ⊕ → aff += 1, ⊖ → aff -= 10
• Confidence dynamics: ⊕ → conf up, ⊖ → conf down
• Skip threshold: aff < τ_v ⇒ skip
• Eviction: Age > τ_s ∧ use = 0 ⇒ evict

Coherence Provides:

• SONA: Instant (<0.05ms), Background (async), Consolidation (periodic)
• ReasoningBank: Pattern storage and retrieval
• EWC++: Anti-forgetting during adaptation

Integration Specification:

Outcome	AISP	Coherence	Cross-System
Success	aff += 1, conf += α	instant_confirm(E)	Store if E < 0.1
Failure	aff -= 10, conf -= β	instant_adapt(E)	Lower scope threshold if E > 0.5
Skip triggered	Mark skip	—	Log skip reason
Eviction check	Age > 90d ∧ use = 0	E > threshold ∧ conf < 0.3	Either triggers eviction
Consolidation	—	EWC++	Sync conf to edge weights

Unified Skip Decision Flow:

1. AISP check: Is aff[source, target] < τ_v?
2. Pattern check: Does ReasoningBank show repeated failures?
3. Energy check: Is edge energy > retrieval threshold?
4. Decision: Skip if (1) OR (2) OR (3)

---

A.6 Evidence Integration

AISP Provides:

• ⟦Ε⟧ block with δ, φ, τ, ⊢
• Compile-time quality attestation
• Formal proof references

Coherence Provides:

• WitnessRecord with energy, decision, lane
• Run-time consistency attestation
• Hash-chained audit trail

Integration Specification:

Source	Field	Type	Purpose
AISP	spec_delta	f32	Density at compile
AISP	spec_phi	u8	Completeness 0-100
AISP	spec_tier	Tier	Quality classification
AISP	spec_proofs	Vec	Formal proof claims
AISP	spec_hash	Hash	Spec content hash
Coherence	coherence_energy	f32	Energy at decision
Coherence	subspace_energy	SubspaceEnergy	Breakdown by V_H/V_L/V_S
Coherence	gate_decision	GateDecision	Allow/deny/escalate
Coherence	compute_lane	Lane	Resource level
Coherence	previous_witness	Option	Chain link
Both	binding_state	Option<Δ⊗λ>	If coordination
Both	timestamp	Timestamp	Decision time
Both	content_hash	Hash	Record integrity

Chain Integrity:

• Each witness includes hash of previous
• Chain is append-only
• Verification: walk chain, verify each hash
• Break in chain = tampering detected

---

Module B: claude-flow-coherence

Purpose: Execute Claude-Flow agents with AISP spec validation and Coherence gating

B.1 Agent Definition

Core Principle: An agent IS a Pocket, not a wrapper

Agent Aspect	Pocket Mapping
Agent ID	ℋ.id (content-addressed)
Capabilities	𝒩.def (AISP specification)
Learned state	ℳ (Membrane)
Embedding	ℋ.V (Signal)
Executable	𝒩.wa (WASM) or 𝒩.ir (LLVM)

Agent Creation Flow:

1. Write agent capabilities as AISP specification
2. Validate specification (require tier ≥ ◊)
3. Package as Pocket with Signal embedding
4. Register Pocket in Coherence substrate
5. Create Claude-Flow agent referencing Pocket

---

B.2 Task Execution

Pre-Execution Checklist:

Check	Owner	Failure Action
Task spec tier ≥ Silver	AISP	Reject task
Binding Δ⊗λ ≠ 0	AISP	Reject incompatible
Coherence energy < threshold	Coherence	Escalate lane
Skip not triggered	Both	Skip task
Safety gate clear	Coherence	Block if V_S violated

Execution Flow:

1. Receive task (may be AISP-specified or natural language)
2. If AISP spec: validate tier (require ≥ Silver)
3. If agent-task pair: check binding Δ⊗λ
4. Compute coherence energy for task scope
5. Combine tier + energy → determine lane
6. Check skip conditions (affinity + patterns + energy)
7. If all pass: execute
8. Record outcome (AISP Hebbian + Coherence SONA)
9. Create unified witness
10. Return result with witness ID

Lane Determination:

AISP Tier	Base Lane	Energy Override
◊⁺⁺	Reflex	If E ≥ ε₁ → Retrieval+
◊⁺	Reflex/Retrieval	If E ≥ ε₁ → Heavy+
◊	Retrieval	If E ≥ ε₂ → Human
◊⁻	Heavy	If E ≥ ε₂ → Human
⊘	Human	Always Human

Final lane = max(tier_lane, energy_lane)

---

B.3 Orchestration

Agent Selection via AISP Search:

1. Convert task to Intent (embed as Signal query)
2. Run AISP Intelligence Engine with Coherence augmentation
3. Return best-fit agent Pocket
4. Map Pocket to Claude-Flow agent

Multi-Agent Coordination:

1. Check binding compatibility between agents: Δ⊗λ
2. Create/verify edges in Coherence graph
3. Sequence based on binding state (Zero first, Adapt second, Null last)
4. Monitor coordination energy during handoffs
5. Update affinities based on coordination success

Orchestration Witness:

• Created for every coordination decision
• Contains: agents involved, binding states, energies, outcome
• Hash-chained with execution witnesses
• Enables full replay of coordination sequence

---

B.4 State Management

Bidirectional Sync:

Direction	What Syncs	Trigger
Claude-Flow → Coherence	Agent status, assignments	State change
Claude-Flow → Coherence	Task dependencies	Task creation
Coherence → Claude-Flow	Energy-based warnings	Threshold crossed
Both directions	Outcome results	Execution complete

State Mapping:

Claude-Flow State	Coherence Equivalent
Agent active	Node in graph
Agent idle	Node with low activity weight
Task pending	Node awaiting edges
Task assigned	Edge to agent
Dependency	Edge between tasks

---

Part 3: Feature Mapping Tables

Complete AISP Feature Mapping

AISP Feature	Category	Coherence Integration	Phase
Signal V_H (768)	𝕃₀	Semantic energy component	Deploy, Execute
Signal V_L (512)	𝕃₀	Structural energy component	Deploy, Execute
Signal V_S (256)	𝕃₀	Safety energy (2x weight)	Deploy, Execute
Orthogonality guarantee	𝕃₀	Unforgeable safety	Execute
Pocket 𝒫	𝕃₁	SheafNode	Deploy
Header ℋ	𝕃₁	Node identity + state	Deploy
Membrane ℳ	𝕃₁	Edge weights (continuous sync)	Execute, Learn
Nucleus 𝒩	𝕃₁	Constraint reference	Deploy
CAS addressing	𝕃₁	Integrity verification	Deploy
Scan ⊞	𝕃₂	Energy-filtered search	Execute
Ghost ψ_g	𝕃₂	+ high-energy edges	Execute
RossNet μ_f	𝕃₂	+ θ₄·coh_E	Execute
Risk μ_r	𝕃₂	+ λ_e·E(path)	Execute
Beam search	𝕃₂	Triple-gate pruning	Execute
Hebbian aff±{1,-10}	Learning	SONA coordination	Learn
Confidence dynamics	Learning	Reliability weighting	Learn
Skip threshold τ_v	Learning	Multi-source decision	Execute, Learn
Eviction policy	Learning	+ energy-based	Learn
Binding Δ⊗λ=0	Binding	No edge	Coordinate
Binding Δ⊗λ=1	Binding	Weak edge, projection ρ	Coordinate
Binding Δ⊗λ=2	Binding	Medium edge, learned ρ	Coordinate
Binding Δ⊗λ=3	Binding	Strong edge, identity ρ	Coordinate
DCE optimization	Binding	Skip redundant checks	Execute
Functor 𝔽	Category	Validation preservation	All
Functor 𝔾	Category	Signal extraction	Deploy
Adjunction ⊞⊣embed	Category	Coherence-ranked results	Execute
Evidence ⟦Ε⟧	Audit	Unified witness	Audit
Density δ	Quality	Unified quality	Compile, Audit
Tier τ	Quality	Lane suggestion	Execute

Complete Coherence Feature Mapping

Coherence Feature	Category	AISP Enhancement	Phase
SheafNode	Graph	Pocket as node	Deploy
SheafEdge	Graph	Binding determines structure	Coordinate
RestrictionMap ρ	Graph	Binding determines derivation	Coordinate
Residual r_e	Compute	Binding interprets meaning	Execute
Energy E	Compute	Subspace weighting from Signal	Execute
Incremental update	Compute	Membrane sync triggers	Execute
Spectral analysis	Compute	Drift detection	Execute
Lane 0 (Reflex)	Gate	Tier ◊⁺⁺/◊⁺ default	Execute
Lane 1 (Retrieval)	Gate	Tier ◊ default	Execute
Lane 2 (Heavy)	Gate	Tier ◊⁻ default	Execute
Lane 3 (Human)	Gate	Tier ⊘ always	Execute
SONA Instant	Learning	Hebbian coordination	Learn
SONA Background	Learning	Pattern optimization	Learn
SONA EWC++	Learning	Anti-forgetting	Learn
ReasoningBank	Learning	Cross-outcome patterns	Learn
GNN restriction	Learning	Adapt binding maps	Coordinate
WitnessRecord	Governance	+ ⟦Ε⟧ fields	Audit
Hash chain	Governance	Unified audit trail	Audit
Policy bundle	Governance	Tier-aware thresholds	Execute
Neural gating	Advanced	Hysteresis smoothing	Execute
Hyperbolic energy	Advanced	Hierarchy awareness	Execute
MinCut isolation	Advanced	Fault containment	Fail

---

Part 4: The Synergy

What AISP Guarantees

"Agents will interpret this specification identically"

• No telephone game distortion
• Ambiguity < 0.02
• Single-token semantics
• Formal proof carrying

What Coherence Guarantees

"If reality diverges from expectation, we'll detect it"

• No silent failures
• Structural consistency verification
• Continuous monitoring
• Mathematical witnesses

Together

Unambiguous specs + Runtime consistency = Safe autonomous systems

┌────────────────────────────────────────────────────────────────┐
│                        AISP LAYER                              │
│  Spec → Parse → Validate → δ score → ⟦Ε⟧ Evidence             │
│  "Is my instruction unambiguous?"                              │
└────────────────────────────────────────────────────────────────┘
                              ↓
                       Pocket deployed
                              ↓
┌────────────────────────────────────────────────────────────────┐
│                     COHERENCE LAYER                            │
│  State → Residuals → Energy → Gate → Witness                   │
│  "Does execution still fit together?"                          │
└────────────────────────────────────────────────────────────────┘
                              ↓
                      Action or Refusal
                      (with full audit trail)

---

⟦Ε⟧⟨ δ≜0.91 φ≜100 τ≜◊⁺⁺ ⊢AISP:SpecTime:Ambiguity<0.02 ⊢Coherence:RunTime:Energy→Gate ⊢Integration:PhaseByPhase ⊢Synergy:UnambiguousSpecs+RuntimeConsistency ⊢ModuleA:aispCoherence ⊢ModuleB:claudeFlowCoherence ⊢Audit:UnifiedWitness+HashChain ⟩