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FIMO: A Challenge Formal Dataset for Automated Theorem Proving

FIMO, an IMO problem statement dataset in the Lean formal language, highlights current automated theorem proving challenges.

Year
2023
Venue
arXiv 2023
Authors
12
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arxiv.org/abs/2309.04295v2ARXIV-DEFAULT
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Abstract

We present FIMO, an innovative dataset comprising formal mathematical problem statements sourced from the International Mathematical Olympiad (IMO) Shortlisted Problems. Designed to facilitate advanced automated theorem proving at the IMO level, FIMO is currently tailored for the Lean formal language. It comprises 149 formal problem statements, accompanied by both informal problem descriptions and their corresponding LaTeX-based informal proofs. Through initial experiments involving GPT-4, our findings underscore the existing limitations in current methodologies, indicating a substantial journey ahead before achieving satisfactory IMO-level automated theorem proving outcomes.

Authors

12