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Thomas Hales on Lean prover reliability and AI

Mathematician Thomas Hales guest-posted on Terence Tao's blog about the reliability of proof assistants like Lean and AI-related concerns. He cites formalization projects including the four-color theorem, Feit-Thompson theorem, Kepler conjecture, and this year's sphere packing, Navier-Stokes blowup and Fermat's Last Theorem work as driving wider awareness of formal verification.

Hacker News ·

Bend: a language that blocks AI mistakes via proofs

Bend is a new language that embeds explicit laws (LAWS.bend) and verifiable proofs (PROOF.bend) to prevent AI-introduced bugs. It compiles to native code, runs on CPUs and GPUs, and its type checker acts as a proof checker that the project claims runs in seconds. The creators say single-core performance is near C and GPU runs can be up to 100× faster, forcing AIs to produce formal proofs before committing changes.

Hacker News ·
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