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📄 Abstract - miniF2F-Lean Revisited: Reviewing Limitations and Charting a Path Forward

We perform a thorough analysis of the formal and informal statements in the miniF2F benchmark from the perspective of an AI system that is tasked to participate in a math Olympiad consisting of the problems in miniF2F. In such setting, the model has to read and comprehend the problems in natural language, formalize them in Lean language, then proceed with proving the problems, and it will get credit for each problem if the formal proof corresponds to the original informal statement presented to the model. Our evaluation results reveal that the best accuracy of such pipeline can be about 36% using the SoTA models in the literature, considerably lower than the individual SoTA accuracies, 97% and 69% reported in the autoformalization and theorem proving literature. Analyzing the failure modes, we trace back a considerable portion of this drop to discrepancies between the formal and informal statements for more than half of the problems in miniF2F. We proceed with correcting all the errors, discrepancies and simplifications in formal and informal statements, and present the miniF2F-v2 with fully verified formal and informal statements and proofs. Evaluating the full theorem proving pipeline on miniF2F-v2 leads to the best accuracy of 70%, a significant improvement from the 40% on the original miniF2F, yet indicating considerable misalignment between the autoformalization models and theorem provers. Our deep analysis suggests that a higher quality benchmark can help the community better evaluate progress in the field of formal reasoning and also better diagnose the failure and success modes of autoformalization and theorem proving models. Our dataset is available at this https URL.

顶级标签: natural language processing benchmark model evaluation
详细标签: theorem proving autoformalization mathematical reasoning formal verification dataset evaluation 或 搜索:

📄 论文总结

重访miniF2F-Lean:审视局限性与规划前进道路 / miniF2F-Lean Revisited: Reviewing Limitations and Charting a Path Forward


1️⃣ 一句话总结

这篇论文通过分析数学奥林匹克竞赛基准数据集miniF2F中形式化与非形式化问题之间的差异,修复了其中一半以上的错误与不一致性,并发布改进版miniF2F-v2,显著提升了AI模型从理解题目到完成证明的全流程准确率,为形式化推理领域提供了更可靠的评估标准。


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