Formal gates check a mathematical property of every action — independent of what the agent intends, knows, or conceals.
01 // The RSA Problem
You cannot test what you cannot verify
Behavioral testing of AI agents is structurally equivalent to testing whether a model can factor RSA-2048 before a quantum computer exists. The answer does not exist anywhere — not in any model, any human, any computer. A deceptive model can return plausible-looking wrong answers that pass format checks.
Forward: p × q = N → easy (microseconds)
Reverse: factor(N) → hard (10²&sup0; operations)
Behavioral test: "Give me the factors of N"
→ Model returns plausible but wrong factors
→ Evaluator cannot verify correctness
→ Test passes. Deception succeeds.
Formal gate: theorem(action_params) → ActionPermitted = true|false
→ The gate does not care what the agent intends
→ It evaluates the action against a mathematical property
→ Deception is structurally impossible
02 // The Laplace Problem
Stationary behavior depends on boundaries, not training
The Cauchy problem for Laplace's equation is ill-posed in the sense of Hadamard. Arbitrarily small perturbations in boundary data produce arbitrarily large changes in the interior solution. This is the exact mathematical structure of deceptive AI alignment.
∇²u = 0
∀ ε > 0, ∃ perturbation δ with ‖δ‖ < ε
such that ‖solution(u₀ + δ) − solution(u₀)‖ → ∞
Training behavior (u₀) does not constrain deployment behavior.
Small fine-tuning perturbations → arbitrarily large behavioral changes.
NemoClaw does not probe the interior.
It enforces the boundary.
03 // The Difference
Competitors // Behavioral
Write test cases for failure modes they can imagine. A sufficiently capable agent passes every test. Red-teaming is a point-in-time test. Post-hoc explainability produces approximations.
Aevion // Formal
Checks a theorem against every action. The theorem does not care what the agent intends. Pre-execution, not post-hoc. Continuous, not point-in-time. The receipt chain proves it happened.
"Where behavioral oversight is structurally insufficient, formal precondition gates plus cryptographic receipts provide an independently verifiable accountability substrate."
04 // The Moat
Every competitor tests behavior. We check theorems.
Glasswing, Patronus, Robust Intelligence, Holistic AI — they write test cases for failure modes they can imagine. A deceptive agent passes every test. NemoClaw checks a Lean 4 theorem. The theorem does not care what the agent intends, knows, or conceals.