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Lawrence Paulson discusses a bogus refutation of the Collatz conjecture caused by a bug in the Lean kernel, reflecting on proof objects and soundness in proof assistants.
An AI-generated formal proof in Lean that claimed to disprove the Collatz conjecture actually exploited two bugs in the Lean kernel, now patched. Lean creator Leo de Moura warns this will keep happening as AIs are good at finding soundness bugs.