arXiv Machine Learning By Lazar Milikic, Etienne Bamas, Emmanuel Abbe, Viktor Kun\v{c}ak

Learning Lean Feedback for Efficient Proof-Candidate Evaluation on GPUs

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The paper presents a neural evaluator that predicts Lean 4 theorem‑proving verdicts and compiler feedback, trained on 4.84 million labelled programs. A two‑stage approach—first screening candidates with a validity classifier, then scoring positives with a feedback model—achieves 87.8 % accuracy on a 68,932‑program benchmark and processes 3.5 candidates per second on an H100 GPU, outperforming a 64‑worker Lean baseline. Integrating this evaluator into a hybrid reward system reduces GRPO training steps by about 31 % while maintaining comparable miniF2F pass rates.

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