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Olympiad-level formal mathematical reasoning with reinforcement learning

The AlphaProof paper shows why formal grounding matters: Lean checks the resulting proof term step by step. Its silver-medal-equivalent 2024 IMO result required multi-day computation and does not establish autonomous research-level mathematics in general.

Authors: Thomas Hubert, Rishi Mehta, Laurent Sartran et al.

Published in: Nature 651, 607–613 (2026)

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Nature 651, 607–613 (2026)

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The AlphaProof paper shows why formal grounding matters: Lean checks the resulting proof term step by step.

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Its silver-medal-equivalent 2024 IMO result required multi-day computation and does not establish autonomous research-level mathematics in general.

  1. 01Nature 651, 607–613 (2026)