The entry point
Mathematical Autopsy
Every SMARTHAUS engagement opens here. A forensic, math-first diagnosis that shows the customer exactly where the math is not — and builds the governed system from the diagnosis.
The four-step engagement
Diagnose. Prove. Build. Govern.
Most AI consulting stops at delivery. Ours has a fourth step because a proof that was true at delivery can stop being true in production. Governed is a runtime state, not a delivery milestone.
Step 1
Diagnose
We sit with the team that has the problem and figure out what the system has to guarantee, to whom, and under what constraints. The output is a written diagnosis a regulator or board can hold.
Step 2
Prove
The engineer derives the theorem and supporting lemmas in Lean 4. Lemmas are not assumptions — they are independently verified claims the theorem depends on.
Step 3
Build
Proven math becomes runtime gates and invariants. Code ships only when every lemma holds and every invariant passes. If something breaks, the gate closes.
Step 4
Govern
We stay. Regulations move, models drift, new invariants surface. The retainer keeps the original guarantee true over time. Governed is a runtime state, not a delivery milestone.
All proofs are written in Lean 4 — the same interactive theorem prover used in aerospace and cryptography. Its only purpose is to refuse proofs that contain mistakes.
The outcome: deterministic AI
Seven properties that follow by construction.
When AI is mathematically governed, these properties are not seven features. They are one construction with seven visible surfaces.
Reproducible
Same inputs, same outputs, every time — by construction.
Replayable
Any past execution can be reconstructed bit-for-bit — by construction.
Traceable
Every output carries its derivation alongside it — by construction.
Explainable
The explanation is the proof, not a separate model guessing at the first model's reasoning — by construction.
Auditable
An audit becomes a query against the proof. A regulator verifies a claim directly — by construction.
Verifiable
Properties are checked before runtime. Verification is the gate, not the report card — by construction.
Falsifiable
Every guarantee has a measured invariant that can break. If it cannot be violated, it is not a guarantee — by construction.
Why we stay
Proofs decay if no one maintains them.
Regulations change. Models drift. New edge cases surface. The Govern retainer keeps the original guarantee true in year three the same way it was true in week one.
Why it gets faster
Every autopsy deposits reusable proof artifacts.
The tenth autopsy leverages artifacts from the first nine. Delivery compresses. The customer's cost drops. Each engagement starts from a higher floor than the last.
Bring us your hardest AI guarantee.
The fastest way to understand Mathematical Autopsy is to watch us run a diagnosis on a real one of yours.