Mathematical Governance Engine (MGE)
Deterministic Rules Engine for AI Governance
MGE is part of Mathematical Autopsy (MA)βthe rules engine for MA. It evaluates every AI action against formal invariants, issues cryptographically signed receipts, and enforces governance deterministically. Core component of the MA methodology.
View Use CasesWhy Mathematical Governance Matters
Traditional AI governance relies on empirical testing and monitoring. MGE provides mathematical proofs of governance correctness.
Mathematical Rules Engine
MGE is a deterministic rules engine that evaluates every AI action against formal mathematical invariants. Each decision is mathematically provable, not empirically tested. Rules are compiled from lemmas and validated through our Mathematical Autopsy process.
Cryptographic Decision Receipts
Every governance decision produces a cryptographically signed receipt using HMAC-SHA256. Receipts enable tamper-proof audit trails, deterministic replay of AI actions, and mathematical verification that rules were properly applied.
Fail-Closed Safety Architecture
If MGE becomes unavailable, AI systems automatically deny all actions rather than operating without governance. This safety-first design ensures rules are never bypassed, even during system failures or attacks.
Mathematical Foundation
MGE is built on rigorous mathematical principles from formal verification and governance theory. Every operation is governed by proven invariants and cryptographic receipts.
The unified governance equation: Decision (D) is a function of Action (A), Context (C), and Rules (Ξ£). Every decision is mathematically validated, not empirically tested.
View Use Cases βCore Guarantees
Same inputs always produce same governance outcomes
Mathematical ProofCryptographic receipts prevent decision tampering
SHA256 + NonceIf governance fails, AI actions are automatically denied
Safety FirstCore Component of Mathematical Autopsy
MGE: The Rules Engine Core
MGE is the mathematical rules engine at the heart of Mathematical Autopsy. It evaluates every AI action against a comprehensive set of mathematical invariants, producing deterministic governance decisions.
Integration Benefits
Every AI decision is mathematically provable
Tamper-proof audit trails for every action
If governance fails, all actions are denied
Use Cases
Where mathematical governance provides critical value for enterprise AI deployments.
AI Agent Governance
Governance engine for AI coding assistants and autonomous agents. Ensures generated code meets mathematical invariants and security requirements before execution.
Development Workflow Rules
Rules engine for software development pipelines. Validates code changes, deployment actions, and infrastructure modifications against mathematical governance rules.
Enterprise Security Automation
Mathematical governance for enterprise security systems. Validates automated security responses and access control decisions with cryptographic receipts.
Enterprise Rules Engine for AI Governance
MGE is a mathematical rules engine that evaluates AI actions against formal invariants, providing cryptographically-verified governance decisions. Enterprise-ready for mission-critical AI deployments.