Compiling in Lean isn't enough: agent formalizes 87.2% but only 57.7% are faithful

ucriverside · hf · 2026-10-21

UC Riverside, University of Arizona and UCSD measure how far Lean compilation overstates faithfulness in statement autoformalization. The criterion requires compilation plus agreement of two LLM judges from different model families; an independent random audit agrees with human majority on 91.5% of cases. Across eight systems on 227 university-level statements, the gap between compiling and accepted outputs ranges 1.3–29.5 percentage points: a tool-augmented agent compiles 87.2% of statements but only 57.7% are accepted, and human review confirms 23.8 of those 29.5 points are real translation errors.

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