Formalization - GoKawiil

Formalization experts urge caution on AI-driven push to formalize all mathematics

A group of mathematicians and formalization specialists, including Jeremy Avigad and Kevin Buzzard, published a guest post responding to calls—spurred by a recent OpenAI release—to use AI to formalize all of mathematics quickly. They say they are optimistic about AI's potential but worried that a rushed, uncoordinated effort could waste resources or cause lasting harm, and they outline conditions for doing large-scale formalization well.

xenaproject.wordpress.com · 2026-10-16

Anthropic's Claude produces first fully computer-verified proof of Fermat's Last Theorem

Anthropic researcher Tianyi Peng tested whether the Claude AI model could formalize Fermat's Last Theorem in the Lean proof assistant, and over 11 days of largely autonomous work, Claude generated an end-to-end, machine-checked proof. The system wrote roughly 13 million lines of Lean code and proved about 29,500 intermediate theorems, building on decades of prior work including Andrew Wiles's 1995 proof and a community formalization effort led by Kevin Buzzard since 2024.

anthropic.com · 2026-09-04