Show HN: Formally verified 3D CSG: Trust 93 lines spec, not 1000 lines AI code
A developer has created a formally verified 3D constructive solid geometry kernel using Lean 4 to ensure mathematical correctness. The project uses AI to generate proofs while keeping the human-auditable specification concise, prioritizing verification over raw performance.
Why it matters
It demonstrates a novel methodology for integrating AI into software development where the AI's output is verified by formal logic rather than human inspection, potentially increasing trust in AI-generated code.
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. (See also related work .)
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