ProofCouncil: An LLM Agent for Solving Open Mathematical Problems
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.
- ▪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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| Original publisher | arXiv.org |
| Canonical URL | https://arxiv.org/abs/2607.09474 |
| Publication time | Mon, 13 Jul 2026 00:00:00 -0400 |
| Retrieval time | 2026-07-13T04:20:37.625Z |
| Last seen | 2026-07-13T06:15:33.235Z |
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Basis: Derived from the published RSS/Atom feed. Contact: [email protected]. Reviewed: 2026-07-24.
Opening excerpt (first ~120 words) tap to expand
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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