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OpenAI withdraws three mathematics manuscripts

What's this about?

A sign error invalidated an argument and two dependent results. The repository also records repairs to 14 manuscripts; 300 of 719 top-line results are formalized, so computer checking does not cover the whole collection.

What exactly is formal proof?

A proof written in a language whose logical steps a computer can check. Correctly stating the theorem and its assumptions still matters.

What's the community saying?

HN 256 points, 550 comments
  1. Which withdrawn results had actually been Lean-checked, versus merely written as mathematical prose?
  2. Can a formally checked statement still miss the intended theorem through wrong assumptions?
  3. Does rapid publication shift too much verification work onto human mathematicians?
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