Theory proves the boundary. Architecture executes it. Evaluation measures it. Operational assurance deploys it. Product and services carry it to market. Each layer is the foundation for the one above.
0
Layers
0
Theorems
0
Standards mapped
Layer 1 — Theory
Inputs — foundations
Assumptions
Domain axioms, constraints, and boundary conditions.
Predicates
Observable properties and system facts — P₁, P₂, …, Pₙ.
Logical Concurrence
Non-compensatory concurrence — all required predicates must hold concurrently.
Predicate concurrence
Decision Semantics
Γ (Gamma) enables and permits. Λ (Lambda) blocks and holds safe.
Γ / Λ logic
Outcome Semantics
PERMIT — all required predicates concur (Γ). SAFE_STATE — any predicate fails to concur (Λ).
Permit vs SAFE_STATE
Theorem 1
Concurrence is non-compensatory.
Theorem 2
Γ / Λ semantics are sound and complete with respect to the model.
Theorem 3
SAFE_STATE is reached iff ¬Γ.
Foundation layer for all higher layers
Layer 2 — Architecture
AI Agent / Proposed Action
Intent + parameters
Canonical Action Model
Normalize & validate structure
Policy & Predicate Engine
Evaluate predicates against Γ and Λ
Runtime Monitor
Observe, verify, and attest
Γ Decision
Permit or transition-safe
Permit Token / SAFE_STATE
Time-bound, scoped, signed — or any predicate fails
Externally Effective Action
Actuator executes under hardware interlock
Evidence record
An append-only log of decisions, evidence, and events. Every decision commits before the actuator is enabled — commit-before-actuate.
Schemas & boundary
Policy Schema
What policies exist, structure, and versioning
Predicate Schema
Predicate definitions, signatures, and data contracts
Action Schema
Canonical actions, fields, types, and constraints
Token Schema
Permit token format, claims, expiry, and scope
Permit-to-Act Boundary
Hard boundary enforced by interlock and monitor
Turns theory into an executable control plane
Layer 3 — Evaluation
01 · Authorization Correctness
Does the system make the right decisions?
98.7%
UER — latest run
UER
Unauthorized Error Rate
0.013
FCR
False Concurrence Rate
0.021
FDR
False Denial Rate
0.008
DR
Decision Recall
0.971
02 · Adversarial Robustness
Resists attempts to bypass or break the gate.
ASB
Attack Simulation Bank
UER
Under attack
Tracked
FCR
Under attack
Tracked
Evasion
Evasion rate
Tracked
Bypass
Bypass rate
Tracked
03 · Replay & Auditability
Decisions are reproducible and auditable.
100%
Replay consistent
Γ-compliance
Strict
PASS
Replay
Replay consistency
100%
Latency
p95
128 ms
Throughput
Requests per second
3.2K/s
04 · Standards mapping — scorecard
Control checks, requirement coverage, gap analysis, and evidence linkage.
Benchmark Scenarios
Curated, versioned scenarios covering permissions, boundaries, and edge conditions.
Attack Simulation Bank
Built-in adversarial techniques and red-team patterns with configurable intensity.
Deterministic Replay
Re-execute decisions with identical inputs to verify consistent outcomes.
Evidence-Backed Reports
Automated reports with metrics, evidence links, and audit trails for stakeholders.
Measures whether the gate works correctly
Layer 4 — Operational Assurance
Continuous assurance & improvement
01
Live deployment
02
Monitoring & controls
03
Operational evidence
04
Independent validation
05
Certification / audit
06
Governance workflows
Live deployment
Systems in production
Monitoring & controls
Continuous monitoring and control execution
Operational evidence
Collect, store, and preserve runtime data
Independent validation
Third-party evaluation and assurance
Certification / audit
Formal certification or regulatory audit
Governance workflows
Policies, approvals, and issue management
Certification and audit feed board / regulator reporting.
Operational evidence feeds customer assurance.
Deployment
Release, rollout, and change management.
Reliable, controlled delivery
Validation
Independent testing, verification, and assurance.
Trust through evidence
Audit
Compliance audits, certifications, and reviews.
Regulatory and market trust
Governance
Policies, workflows, and decision rights.
Accountable and repeatable
Brings the framework into deployed environments
Layer 5 — Product & Services
Service ladder — S0 → S6
Executive Diagnostic
Execution Integrity Assessment
ConcurBench Readiness Pack
Evidence Gateway Build
Shadow Mode Pilot
Enforcement Readiness Review
Full Implementation Advisory
Product ladder — P1 → P7
Evidence Gateway
Inline-Shadow Permit Gateway
LUAI Governor Shadow Mode
LUAI Governor Enforcement Mode
LUAI Governor Pro Trust Tier
Reverse Law Federation
ConcurBench Certification / FRAND
Immediate Cash
Advisory, procurement, and assessments.
Core Platform
Gamma Runtime Gateway and ERTuple Audit Platform.
Certification & Standards
ConcurBench, G-O Certification, and sector packs.
Infrastructure Dominance
Identity layer, federated mesh, and AI governance OS.
Strategic Leadership
Long-term category ownership and market leadership.
Commercialization path across products, pilots, and services
Start at S0
Identify your execution-boundary risk, map the externally effective actions your AI can already take, and decide whether the evidence supports enforcement.