paper-with-me

홈 › Papers

Prover Agent: An Agent-based Framework for Formal Mathematical Proofs

2025-06-24 · Kaito Baba, Chaoran Liu, Shuhei Kurita, Akiyoshi Sannai

We present Prover Agent, a novel AI agent for automated theorem proving that integrates large language models (LLMs) with a formal proof assistant, Lean. Prover Agent coordinates an informal reasoning LLM, a formal prover model, and feedback from Lean while also generating auxiliary lemmas to assist in discovering the overall proof strategy. It achieves an 86.1% success rate on the MiniF2F benchmark, establishing a new state-of-the-art among methods using small language models (SLMs) with a much lower sample budget than previous approaches. We also present case studies illustrating how these generated lemmas contribute to solving challenging problems.

📄 PDF Abstract BibTeX arXiv:2506.19923

Code (0)

등록된 구현이 없습니다.

Tasks

AI AgentAutomated Theorem ProvingMathematical Proofs

Similar Papers 제목 키워드 기반

MA-LoT: Multi-Agent Lean-based Long Chain-of-Thought Reasoning enhances Formal Theorem Proving

2025-03-05 · Ruida Wang, Rui Pan, Yuxin Li, Jipeng Zhang 외

Solving mathematical problems using computer-verifiable languages like Lean has significantly impacted mathematical and computer science communities. State-of-the-art methods utilize single Large Language Models (LLMs) a…

Automated Theorem ProvingTransfer Learning

OpenProver: Agentic and Interactive Theorem Proving with Lean 4

2026-07-10 · Matěj Kripner, Milan Straka arxiv

In this system paper, we present OpenProver, an open-source system for LLM-driven automated theorem proving (ATP) with integrated Lean 4 formal verification. OpenProver integrates a Planner-Worker-Verifier architecture i…

Automated Theorem ProvingCode Generation

MechMath Agent Team: LLM Driven Agents for Mathematical Research

2026-07-05 · Yichuan Cao, Ruichen Qiu, Junqi Liu, Jiaqi Wang 외 arxiv

AI reasoning has become a central focus in contemporary artificial intelligence, largely driven by the success of large language models. However, mathematical research, which is characterized by non-linear derivation pat…

Mathematical Reasoning

PhysProver: Advancing Automatic Theorem Proving for Physics

2026-01-22 · Hanning Zhang, Ruida Wang, Rui Pan, Wenyuan Wang 외 arxiv

The combination of verifiable languages and LLMs has significantly influenced both the mathematical and computer science communities because it provides a rigorous foundation for theorem proving. Recent advancements in t…

Reinforcement LearningMathematical Reasoning

OProver: A Unified Framework for Agentic Formal Theorem Proving

2026-05-17 · David Ma, Kaijing Ma, Shawn Guo, Yunfeng Shi 외 arxiv

Recent progress in formal theorem proving has benefited from large-scale proof generation and verifier-aware training, but agentic proving is rarely integrated into prover training, appearing only at inference time. We p…