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To my knowledge, this is the first formally verified implementation of a 3D constructive solid geometry (CSG) operation: mesh intersection, implemented in Lean 4 and verified against a concise specification that pins down the surface of the resulting mesh exactly and guarantees practical well-formedness conditions on the triangulation.<p>This project is also an experiment in avoiding having to trust AI-generated code. A human reviewer only needs to read 93 lines of formal specification and run the Lean checker to certify the correctness of the kernel, skipping the intricate 1000+ lines of AI-written implementation. To prove correctness, AI autonomously wrote over 60,000 lines of Lean proofs, which also never have to be inspected by a human. The Lean checker guarantees conformance to the specification at compile time, with zero trust placed in any LLM. This allows us to treat the implementation and proofs as a black box. I guided the agent through the milestones described in the readme to arrive at the result presented here.<p>Also take a look at the web demo <a href="https:&#x2F;&#x2F;schildep.github.io&#x2F;verified-3d-mesh-intersection&#x2F;" rel="nofollow">https:&#x2F;&#x2F;schildep.github.io&#x2F;verified-3d-mesh-intersection&#x2F;</a>, which runs the verified mesh intersection kernel compiled to WebAssembly in your browser.

Show HN: Formally verified 3D CSG: Trust 93 lines spec, not 1000 lines AI code

for decades, i have been concerned that the internet was being built around non-fiction, so i built something to show how we could celebrate great fiction on the web.<p>i started with an amazing library from the public domain, and i also added tools to add your own stories<p>super interested to hear any feedback, and if you read anything good!

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