arXiv Computation and Language By Lan Zhang, Marco Valentino, Jordan Meadows, Andre Freitas

Beyond Gold Standards: Epistemic Ensemble of LLM Judges for Formal Mathematical Reasoning

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The paper introduces an epistemically and formally grounded ensemble (EFG) of large language model judges to evaluate autoformalization tasks in formal mathematics. It defines four criteria—logical preservation, mathematical consistency, formal quality, and formal validity—to provide a transparent, multi‑granular assessment. Experiments show that this ensemble outperforms coarse‑grained models, offering a scalable and interpretable proxy for evaluating formal mathematical reasoning.

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