Will an AI be able to convert recent mathematical results into a fully formal proofs that can be verified by a mainstream proof assistant by 2025?
39
1kṀ8327
resolved Jan 2
Resolved
NO

Definitions used:

  • Under "AI" I consider any fully autonomous computer program that is not given any human input other than the mathematic

  • Under "recent mathematical results" I consider novel mathematical results that have been published during or after 2010.

  • Under "fully formal proof" I consider a sequence of proof steps written in a formal mathematical logic such as CIC or ZFC.

  • Under "mainstream proof assistant" I consider languages such as Isabelle/HOL, Coq, or Lean.

This question will resolve to YES if such an AI can translate and verify at least five recent mathematical results that had not previously been verified in a proof assistant before the start of 2025, and will otherwise resolve to NO.

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