Mathematically Governed AI.

Governed by mathematics at runtime. Deterministic by construction.

The category

Governed, not governance.

Governance is policy — committees, attestations, post-hoc review. It lives outside the system.

Governed is state — a mathematical control loop constraining behavior at runtime, whether anyone is watching or not.

The problem

Not training failures — production failures rooted in unpredictability and the inability to defend behavior to stakeholders.

SMARTHAUS inverts the order: formalize intent as mathematics, prove what matters, generate code from the proof.

The outcome: deterministic AI

When AI is mathematically governed, seven properties follow by construction — not by audit. Governance is the cause. Determinism is the effect.

Same inputs, same outputs, every time — by construction.

Every output carries its derivation — by construction.

Properties are checked before runtime — by construction.

Every guarantee maps to an invariant that can break — by construction.

See all seven properties

Reproducible. Same inputs, same outputs, always — by construction.
Traceable. Every output carries its derivation — by construction.
Explainable. The explanation is the proof itself — by construction.
Auditable. Audit is a query against the proof — by construction.
Replayable. Any execution can be replayed bit-exact — by construction.
Falsifiable. Every guarantee maps to a measurable invariant — by construction.
Verifiable. Properties are checked before runtime — by construction.

How governance gets built

Intent becomes a theorem. The theorem is built from proven lemmas. Lemmas become runtime invariants. Code ships only after the gate closes.

Mathematical Autopsy

The proof mechanism

Every guarantee is a theorem in Lean 4. If any lemma breaks, the gate closes and the code does not ship.

The entry point

A forensic, math-first engagement that opens up the customer's AI and shows them the math that is not there.

Consulting-led with product pull-through. Every industry, every application, the same mathematical discipline.

The fastest way to understand what we ship is to watch us run a Mathematical Autopsy on a real one of yours.