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Lean Proof Assistant Enhances Reinforcement Learning for Theorem Proving

Researchers have developed a novel method for theorem proving using reinforcement learning, integrating the Lean proof assistant to provide detailed, verified feedback. This approach, termed Process-Verified Reinforcement Learning (PVRL), leverages Lean's ability to offer fine-grained, tactic-level signals beyond simple binary success or failure. By incorporating these structured rewards into a GRPO-style objective, the system demonstrates improved performance on benchmarks like MiniF2F and ProofNet when compared to outcome-only methods. This work suggests that symbolic proof assistants can function as process-level reward oracles during training, bridging the gap between large language model scalability and symbolic verification reliability. AI

IMPACT This research could lead to more reliable and scalable AI systems for formal reasoning and theorem proving by combining LLM capabilities with symbolic verification.

RANK_REASON The cluster contains a research paper detailing a new method for theorem proving using reinforcement learning and a proof assistant.

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Lean Proof Assistant Enhances Reinforcement Learning for Theorem Proving

COVERAGE [2]

  1. arXiv cs.AI TIER_1 English(EN) · Minsu Kim, Se-Young Yun ·

    Process-Verified Reinforcement Learning for Theorem Proving via Lean

    arXiv:2606.20068v1 Announce Type: new Abstract: While reinforcement learning from verifiable rewards (RLVR) typically has relied on a single binary verification signal, symbolic proof assistants in formal reasoning offer rich, fine-grained structured feedback. This gap between st…

  2. arXiv cs.AI TIER_1 English(EN) · Se-Young Yun ·

    Process-Verified Reinforcement Learning for Theorem Proving via Lean

    While reinforcement learning from verifiable rewards (RLVR) typically has relied on a single binary verification signal, symbolic proof assistants in formal reasoning offer rich, fine-grained structured feedback. This gap between structured processes and unstructured rewards high…