AI Compliance Regulations: Verified Lean Proofs to Code

Now on AgentPMT: Turn Verified Lean Proofs Into Shippable C, Rust, and Wasm

A theorem you proved in Lean is only worth as much as the code that ships with it, and for most teams the proof and the production binary part ways the moment an engineer hand-ports the algorithm into C. Everything you verified about correctness stops covering what actually runs in the device, the service, or the settlement engine.

The Lean Proof To Code Translator - C Rust Wasm closes that distance. It compiles an exportable Lean proof program into auditable C, Rust, or WebAssembly, and hands back the generated code alongside a certificate, build logs, and a verification bundle. Built by Apoth3osis and available now as a managed connector on AgentPMT, it lives in the catalog as a MicroSAAS — a single managed tool action, atomic and billable per use — that any agent can discover and call through AgentPMT's dynamic MCP server. No toolchain to install, no Lean runtime to babysit.

Here is how it runs. You upload a source-only Lean archive, name the entry module and the symbol you want exported (say UserProofs.Main), and pick a target: c, rust, or wasm. The generate action starts an asynchronous job on a platform-pinned runtime and returns a task id immediately, so your agent never blocks waiting on a compile. Poll get_task for status, pull list_tasks for recent history, and call get_targets when you want the current list of supported languages. When a run finishes you get the artifact plus the certificate and logs that record exactly how it was built. A second action, verify, takes a bundle you generated earlier and re-checks it against the same pinned runtime — a fast hash check or a full rebuild-and-re-export — so you can confirm an artifact still matches its source before you ship it. Every call is pay-per-use through agent credits, and you are charged only when the job succeeds.

That combination opens up concrete work. A medical-device team can compile a formally verified dosing routine straight to C for firmware, then run verify in full mode on every release candidate to produce fresh build evidence for an IEC 62304 audit, with no manual re-derivation and no "it verified on my laptop." A fintech group can export the same verified settlement calculation to Rust for a memory-safe service and to Wasm for a sandboxed edge deployment, from one proof, without maintaining three hand-written ports that each drift on their own schedule. A compliance agent can archive each bundle, certificate, and log to preserve provenance, so when a reviewer asks whether the shipped code matches the proof, the answer is a reproducible artifact instead of a promise — the kind of evidence trail that makes regulatory compliance automation tractable rather than aspirational. Teams automating these reviews stop paying the slow tax of hand-porting verified algorithms and re-checking them by eye.

Formal verification has spent years stuck behind a translation step. Interactive theorem provers like Lean let you prove a function correct down to the last edge case, but extraction into a language a real system runs has been brittle, version-sensitive, and hard to reproduce, which is precisely what auditors in regulated industries care about. In healthcare and life sciences, where software faults carry clinical consequences and compliance regulations demand traceable evidence, a verified artifact you can rebuild on demand outweighs a binder full of test reports. For teams building artificial intelligence medical devices, that gap between a proof and the firmware that ships is exactly where audits stall. The same logic holds wherever artificial intelligence is moving into high-stakes decisions: agents acting on medical, financial, or safety-critical data need building blocks whose correctness is provable and whose provenance survives an audit, not just components that passed a handful of unit tests.

Reproducibility is the quiet differentiator here. Because every generate and verify run executes against a pinned runtime and a shared cache, the bundle you produce today rebuilds to the same result months from now — the property that turns a one-time proof into durable, auditable evidence. That separates claiming your code is correct from being able to demonstrate it on request.

If you build where correctness has to be shown rather than asserted, point your agent at the Lean Proof To Code Translator and let it turn your proofs into verified, shippable code. Add it from the AgentPMT catalog and run your first export today.