Experiences from Exporting Major Proof Assistant Libraries

Author:

Kohlhase MichaelORCID,Rabe FlorianORCID

Abstract

AbstractThe interoperability of proof assistants and the integration of their libraries is a highly valued but elusive goal in the field of theorem proving. As a preparatory step, in previous work, we translated the libraries of multiple proof assistants, specifically the ones of Coq, HOL Light, IMPS, Isabelle, Mizar, and PVS into a universal format: OMDoc/MMT. Each translation presented great theoretical, technical, and social challenges, some universal and some system-specific, some solvable and some still open. In this paper, we survey these challenges and compare and evaluate the solutions we chose. We believe similar library translations will be an essential part of any future system interoperability solution, and our experiences will prove valuable to others undertaking such efforts.

Funder

Deutsche Forschungsgemeinschaft

Horizon 2020

Publisher

Springer Science and Business Media LLC

Subject

Artificial Intelligence,Computational Theory and Mathematics,Software

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1. Thirty-Three Years of Mathematicians and Software Engineers: A Case Study of Domain Expertise and Participation in Proof Assistant Ecosystems;Proceedings of the 21st International Conference on Mining Software Repositories;2024-04-15

2. Extracting Theory Graphs from Aldor Libraries;Lecture Notes in Computer Science;2023

3. Using Deep Ontologies in Formal Software Engineering;Rigorous State-Based Methods;2023

4. Coq’s vibrant ecosystem for verification engineering (invited talk);Proceedings of the 11th ACM SIGPLAN International Conference on Certified Programs and Proofs;2022-01-11

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