Challenge: Existing formal proof assistants rely on instruction tuning and lack fine-grained structural and semantic alignment.
Approach: They propose a reinforcement learning framework that enables LLMs to translate natural language into formal language such as Lean 4 . they use a model with basic translation ability to refine the model's reinforcement learning .
Outcome: The proposed method outperforms baseline models on NL-to-Lean 4 tasks.

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