Theorem Provers: One Size Fits All?

September 18, 2025 ยท The Ethereal ยท ๐Ÿ› arXiv.org

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Authors Harrison Oates, Hyeonggeun Yun, Nikhila Gurusinghe arXiv ID 2509.15015 Category cs.LO: Logic in CS Cross-listed cs.PL Citations 0 Venue arXiv.org Last Checked 5 months ago
Abstract
Theorem provers are important tools for people working in formal verification. There are a myriad of interactive systems available today, with varying features and approaches motivating their development. These design choices impact their usability, alongside the problem domain in which they are employed. We test-drive two such provers, Coq and Idris2, by proving the correctness of insertion sort, before providing a qualitative evaluation of their performance. We then compare their community and library support. This work helps users to make an informed choice of system, and highlight approaches in other systems that developers might find useful.
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