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arXiv 提交日期: 2026-01-20
📄 Abstract - Numina-Lean-Agent: An Open and General Agentic Reasoning System for Formal Mathematics

Agentic systems have recently become the dominant paradigm for formal theorem proving, achieving strong performance by coordinating multiple models and tools. However, existing approaches often rely on task-specific pipelines and trained formal provers, limiting their flexibility and reproducibility. In this paper, we propose the paradigm that directly uses a general coding agent as a formal math reasoner. This paradigm is motivated by (1) A general coding agent provides a natural interface for diverse reasoning tasks beyond proving, (2) Performance can be improved by simply replacing the underlying base model, without training, and (3) MCP enables flexible extension and autonomous calling of specialized tools, avoiding complex design. Based on this paradigm, we introduce Numina-Lean-Agent, which combines Claude Code with Numina-Lean-MCP to enable autonomous interaction with Lean, retrieval of relevant theorems, informal proving and auxiliary reasoning tools. Using Claude Opus 4.5 as the base model, Numina-Lean-Agent solves all problems in Putnam 2025 (12 / 12), matching the best closed-source system. Beyond benchmark evaluation, we further demonstrate its generality by interacting with mathematicians to successfully formalize the Brascamp-Lieb theorem. We release Numina-Lean-Agent and all solutions at this https URL.

顶级标签: agents llm systems
详细标签: theorem proving formal mathematics coding agents autonomous reasoning tool integration 或 搜索:

Numina-Lean-Agent:一个用于形式化数学的开放通用智能体推理系统 / Numina-Lean-Agent: An Open and General Agentic Reasoning System for Formal Mathematics


1️⃣ 一句话总结

这篇论文提出了一个名为Numina-Lean-Agent的创新系统,它直接利用一个通用的代码生成AI作为核心推理引擎,无需专门训练,就能在形式化数学证明中取得顶尖性能,并成功解决了复杂的数学定理和竞赛题目。

源自 arXiv: 2601.14027