QED: An Open-Source Multi-Agent System for Generating Mathematical Proofs on Open Problems

📰 ArXiv cs.AI

Learn how QED, an open-source multi-agent system, generates mathematical proofs for open problems, and how it overcomes limitations of large language models (LLMs)

advanced Published 28 Apr 2026
Action Steps
  1. Build a multi-agent system using QED's architecture to generate mathematical proofs
  2. Run experiments with frontier LLMs to identify failure modes and improve proof generation
  3. Configure the system to avoid context contamination and citation hallucinations
  4. Test the system on research-level proof tasks to evaluate its performance
  5. Apply QED to open problems in mathematics to generate original, nontrivial proofs
  6. Compare the results with existing proof generation methods to assess the system's effectiveness
Who Needs to Know This

Researchers and developers in AI and mathematics can benefit from this system, as it provides a novel approach to generating mathematical proofs and can be integrated into existing research workflows

Key Insight

💡 QED overcomes the limitations of LLMs in generating mathematical proofs by using a multi-agent system architecture

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📝 QED: an open-source multi-agent system for generating mathematical proofs on open problems! 🤖💡

Key Takeaways

Learn how QED, an open-source multi-agent system, generates mathematical proofs for open problems, and how it overcomes limitations of large language models (LLMs)

Full Article

Title: QED: An Open-Source Multi-Agent System for Generating Mathematical Proofs on Open Problems

Abstract:
arXiv:2604.24021v1 Announce Type: new Abstract: We explore a central question in AI for mathematics: can AI systems produce original, nontrivial proofs for open research problems? Despite strong benchmark performance, producing genuinely novel proofs remains an outstanding challenge for LLMs. Through systematic experiments with frontier LLMs on research-level proof tasks, we identify seven failure modes that prevent reliable proof generation, including context contamination, citation hallucinati
Read full paper → ← Back to Reads

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