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How to Formalize All of Mathematics
A guest post by Jeremy Avigad, Kevin Buzzard, Johan Commelin, Rémy Degenne, Kim Morrison, Oliver Nash and Adam Topaz. Responding to calls to formalize all of mathematics now that AI proves theorems well, the authors say a coordinated effort could expand discovery if done well but do lasting damage if rushed, and lay out their concerns and experiences with AI and formalization.
10 min · 2,382 words
What mathematicians should know about the Lean Theorem Prover: questions of reliability and AI
In a guest post on Terence Tao's blog, Thomas Hales explains how formal proof in the Lean theorem prover works, what can and cannot go wrong with its trusted kernel, axioms, definitions and autoformalized statements, and what mathematicians should check before trusting AI-assisted formal proofs.
16 min · 3,614 words