arXiv Computation and Language By Samuel Xiao, Judy Song, Rory Hu, Ziliang Zong

NL2AGBench: Benchmarking LLM Auto-Formalization for AlphaGeometry

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NL2AGBench is a benchmark that evaluates how well large language models can translate English geometry problems into the formal language required by AlphaGeometry’s theorem‑proving engine. The study tests ten state‑of‑the‑art LLMs, comparing executable translation accuracy, syntactic correctness, and error types, and finds a large gap between closed‑source and open‑source models. The authors also propose an error taxonomy and test mitigation strategies such as few‑shot prompting, fine‑tuning, and human‑guided hinting, which improve performance across model families.

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