Formalizing the Enormous Theorem

Axiom releases the first complete computer-checked Lean proof of the Classification of Finite Simple Groups, the roughly 15,000-page 'enormous theorem'. Over 24 days, its engineers and mathematicians directed swarms of AI agents that produced about 43.1 million lines of Lean, surfacing 34 notable deviations from the published record and a new group theory result.

Research · Mathematics · AI · Formal Verification

LLMs are making formal software verification feasible at a much larger scale

Anthropic's Frontier Red Team reports that Claude formally proved security properties in the compiled code of 123 open-source libraries, autonomously generating ISA semantics along the way and uncovering long-hidden bugs, suggesting formal verification is becoming practical at scale.

Research · AI · Security · Formal Verification