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ProofCouncil: An LLM Agent for Solving Open Mathematical Problems

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ProofCouncil: An LLM Agent for Solving Open Mathematical Problems
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However, their performance can be further improved through agentic workflows tailored to real-world mathematical practice. To this end, we introduce ProofCouncil, a mathematical agent that is designed to tackle open problems using an author-critic architecture. ProofCouncil served as a submission to the second batch of FirstProof, a challenge consisting of 10 real-world mathematical problems that agents must solve autonomously.

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arXiv cs.AI
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Computer Science > Artificial Intelligence arXiv:2607.09474 (cs) [Submitted on 10 Jul 2026] Title:ProofCouncil: An LLM Agent for Solving Open Mathematical Problems Authors:Johannes Schmitt, Tim Gehrunger, Jasper Dekoninck, Gergely Bérczi, Uri Kreitner, Liam Price, David Holmes View a PDF of the paper titled ProofCouncil: An LLM Agent for Solving Open Mathematical Problems, by Johannes Schmitt and 6 other authors View PDF HTML (experimental) Abstract:Large language models (LLMs) have shown increasing promise in solving open problems in mathematics. However, their performance can be further improved through agentic workflows tailored to real-world mathematical practice.

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