Formally verified 3D mesh intersection - trust 93 lines of spec, not 1000+ lines of AI-written code
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Updated
Aug 1, 2026 - Lean
Formally verified 3D mesh intersection - trust 93 lines of spec, not 1000+ lines of AI-written code
Can a web backend be proved correct and still be fast?
Lume — the AI-first programming language: written by AI, proven by the compiler, reviewed by humans. Self-hosted with no C in the loop; Phases 0–5 complete (ownership, effects, concurrency, sound QF_LIA contract proofs, tensors/autodiff, systems/interop, lume-os). 100% Lume.
Pre-alpha Idris 2 semantic kernel and reference scheduler for normalizing typed action sequences under an at-most-once policy, with tested but non-production service scaffolding.
Prove a function in Lean 4, call it from C#. lean2il re-checks every proof with Tenet, an independent Lean kernel, compiles the kernel terms to .NET IL, and writes the docs from the Lean. With a VS Code extension.
A VCF normalizer in Bend 2 with a machine-checked proof that it follows its specification
First executable, machine-checked (Lean 4) 2-approximation for Shortest Common Superstring — a verified reference/oracle, packaged from openai/math family 128
Bend 2: what Array operations do, as laws checked by the proof checker
Bend 2: bytes packed four to a U32 word, with proven laws
A verifiably-bounded AI architecture: security from a small, formally-verified governor (the Warden) that holds authority over an untrusted learned core. Safety guarantee proved four ways — Z3, Coq/Rocq kernel, sympy, Lean. AGPL-3.0 + commercial dual-license.
Any successfully Verified Library should be added to this repository, complete with a folder for the verification as well as the pipeline
Inactive historical project — storefront for verified software Bases on Cloudflare with Dodo Payments.
A Rust crate extracted to Lean 4 by Charon/Aeneas and proved against hand-written specs, behind a reproducible Nix verification gate — the worked demo for the talk "Verified Components from Rust to Lean".
Bend 2: cutting packed lines into fields and reading/writing decimals, with proven laws
A programming system where computers write and verify all code. Formally verified components with machine-checkable proofs, zero sorry.
Bend 2: run a list of tasks in parallel, with proven laws
Bend 2: what U32 operations compute, as laws checked by the proof checker
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