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AlphaProof: formal proofs for three IMO 2024 problems

DeepMind reports Lean proofs for IMO 2024 problems 1, 2, and 6, and publishes the specific proof artifacts.

Sources for this record

What was already known

These are competition problems with known human solutions, not open research conjectures.

What changed and why it matters

A concrete reproduction in formal mathematics, separate from the aggregate competition score.

The AI contribution

AlphaProof searched for proofs; human experts supplied the formal problem statements.

Limitations

Humans translated the problem statements. AIProofWatch has not compiled the proofs or audited their assumptions; no open conjecture is resolved by this entry.

Verification evidence

Evidence labels show what supports the claim. Importance rates its impact if correct.

Author claim

Authors’ account of the three AlphaProof results.

Accessible artifact / proof

Rendered statements and proofs, with Lean file downloads.

Formal checking

Author-reported Lean checking of the supplied statements; not rechecked by AIProofWatch.

Checking a formal statement does not establish that it matches the original problem.

Peer review

The AlphaProof methodology was published in Nature; publication does not establish independent reproduction of each artifact.

Correction and publication history