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arXiv · 2503.04763

MiniF2F in Rocq: Automatic Translation Between Proof Assistants -- A Case Study

Jules Viennot·Guillaume Baudart·Emilio Jesùs Gallego Arias·Marc Lelarge
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Abstract

In this work, we conduct an experiment using state-of-the-art LLMs to translate MiniF2F into Rocq. The translation task focuses on generating a Rocq theorem based on three sources: a natural language description, the Lean formalization, and the Isabelle formalization. We conducted our experiment in 3 stages of increasing complexity, from basic one-shot prompting to multi-turn conversations that incorporate feedback from unsuccessful attempts. At each stage, we perform multiple rounds of translation using increasingly advanced models: GPT-4o mini, Claude 3.5 Sonnet, o1 mini, and o1. We successfully translated 478 out of 488 theorems. The dataset is opensource: https://github.com/LLM4Rocq/miniF2F-rocq.

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Jules Viennot, Guillaume Baudart, Emilio Jesùs Gallego Arias, Marc Lelarge. 2025-02-11. MiniF2F in Rocq: Automatic Translation Between Proof Assistants -- A Case Study. https://arxiv.org/abs/2503.04763

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