arXiv Machine Learning By Benjamin Grayzel

Cost-Effective Automated Judging of Natural-Language Mathematical Proofs

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arXiv:2608. 00004v1 Announce Type: cross Abstract: Grading natural-language mathematical proofs is a recurring cost in evaluating math-reasoning systems, and frontier LLM judges are expensive.

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arXiv AI
Aug 24

ProofJudge: Tool-Grounded LLM Evaluation of Formal Proof Quality in Mathlib

ProofJudge is an agentic large language model that evaluates the quality of formal proofs in Lean 4 beyond mere correctness. It scores proofs on five dimensions—library leverage, automation fit, structural clarity, statement quality, and Mathlib conventions—using tool access to the relevant repository commit. The system was tested on 218 Mathlib declarations, achieving alignment with human reviewers between 63.5% and 80.8% and releasing its harness, dataset, and traces for open research.

By Shane Caldwell