From Expert-Guided Proof Search to Automated Open-Problem Solving
We describe Bolzano, a multi-agent open-source system that uses parallel prover agents with a verifier agent and maintains a human-readable research state.
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Key points
- Large language models are increasingly contributing to mathematical research, where progress often depends on efficient proof search, incremental improvements and careful verification.
- Initial manual use on expert-selected problems yielded 8 results whose proofs were checked by domain experts.
- Motivated by these case studies, we ran Bolzano without problem-specific human guidance on about 3,800 open problems extracted from four sets of papers, solving about 200 open problems.
- One experiment used papers accepted to STOC 2026, a top conference in theoretical computer science.
Sources (1)
- [1]From Expert-Guided Proof Search to Automated Open-Problem SolvingarXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 7, 09:52 AM
We describe Bolzano, a multi-agent open-source system that uses parallel prover agents with a verifier agent and maintains a human-readable research state.
Large language models are increasingly contributing to mathematical research, where progress often depends on efficient proof search, incremental improvements and careful verification.
Extractive summary: sentences quoted from the sources.