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Paper · arXiv

Cost-Effective Automated Judging of Natural-Language Mathematical Proofs

Grading natural-language mathematical proofs is a recurring cost in evaluating math-reasoning systems, and frontier LLM judges are expensive. We ask whether cheap open-weight models can serve as reliable judges given a candidate proof, a ground-truth proof, and a human-grading rubric. On a 200-instance validation sample of IMO-GradingBench, two of three cheap judges (GPT-OSS-120B, DeepSeek-V4-Flash) and their three-model consensus are statistically no worse than the frontier (Claude Opus 4.7, Gemini 3.1 Pro) on agreement with human pass/fail decisions, at 4-100$\times$ lower cost. On the full 1000-instance benchmark, the choice of consensus rule over the three judges is a precision/recall...

AuthorsBenjamin Grayzel
Primary categorycs.CL
Published29 May 2026
Last updated at source5 October 2026
cs.CLcs.AIcs.LG
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