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Maxproof

MaxProof: Scaling Mathematical Proof with Generative-Verifier RL and Population-Level Test-Time Scaling

arxiv.org

June 12, 2026

2 min read

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51/100

Summary

MaxProof is a framework designed for population-level test-time scaling in mathematical proof, specifically within the MiniMax-M3 series. It trains three key capabilities: proof generation, proof verification, and critique-conditioned proof repair.

Key Takeaways

  • MaxProof is a population-level test-time scaling framework designed for competition-level mathematical proof in the MiniMax-M3 series.
  • The M3 model integrates proof generation, verification, and critique-conditioned proof repair capabilities, achieving scores of 35/42 on IMO 2025 and 36/42 on USAMO 2026.
  • MaxProof employs a tournament selection method to refine and rank candidate proofs, ultimately producing a final proof.
  • The M3 model's performance exceeds the human gold-medal threshold in mathematical competitions.
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Community Sentiment

Mixed

Positives

  • The high fraction of gold medalists at the IMO suggests that training methods, potentially including AI tools, are effectively preparing students for complex problem-solving.

Concerns

  • Concerns about the influence of LLMs on IMO preparation highlight potential ethical implications regarding fairness in competitive environments.

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