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Theorem Proving

3 GoKawiil briefs on this topic

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.

Developer formalizes DFA textbook proof using Lean and Mathlib

A software engineer walked through a theory-of-computation textbook exercise asking for a proof, via finite automata, of a language property, then reformalized that informal constructive proof in the Lean proof assistant. The write-up builds a deterministic finite automaton (DFA) and leans on existing theorems in Lean's Mathlib library to formally verify it recognizes the target language.

Mathematician warns AI is now solving decades-old unsolved problems

A mathematician writing in a new essay says artificial intelligence systems are beginning to crack mathematical problems that have stumped human researchers for decades, something the author says they never expected to witness. The author argues this marks a turning point where the cultural image of mathematicians as singular problem-solving 'heroes' is fading as AI takes on that role.