Tag

Theorem Proving

All articles tagged with #theorem proving

technology1 month ago•5 min saved

AI Delivers Record-Setting Fully Computer-Checked Proof of Fermat’s Last Theorem in 11 Days

Anthropic's Claude AI produced the first fully computer-checked formal proof of Fermat's Last Theorem in 11 days, generating about 13 million lines of code and passing review by mathematician Kevin Buzzard. The effort, which used parallel AI agents and the Prove2Me tool to keep progress coordinated, translates Andrew Wiles's proof into Lean, a form verifiable by computers. A parallel human project at Imperial College London started in 2024 to do the same work but has not yet finished, making Claude's result notable for speed and determinism in formalized math.

via Decrypt|

#ai #fermats-last-theorem #formal-verification

science-and-technology2 years ago•50 min saved

"DeepMind's AI Masters Olympiad Geometry Challenges"

Researchers have developed AlphaGeometry, a neuro-symbolic theorem prover that uses synthetic data to solve olympiad-level geometry problems. By generating 100 million synthetic theorems and their proofs, AlphaGeometry outperforms previous state-of-the-art geometry-theorem-proving computer programs and approaches the performance of an average International Mathematical Olympiad (IMO) gold medallist. The method combines language modeling and specialized symbolic engines to produce human-readable proofs, achieving a success rate of 25 out of 30 problems on a test set of classical geometry problems. The synthetic data generation process rediscovers known theorems and lemmas, demonstrating the potential of this approach in theorem proving.

via Nature.com|

#alphageometry #artificial-intelligence #geometry