The Coq Library as a Theory Graph
Müller D, Rabe F, Sacerdoti Coen C (2019)
Publication Type: Conference contribution
Publication year: 2019
Journal
Publisher: Springer Verlag
Book Volume: 11617 LNAI
Pages Range: 171-186
Conference Proceedings Title: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Event location: Prague
ISBN: 9783030232498
DOI: 10.1007/978-3-030-23250-4_12
Abstract
Representing proof assistant libraries in a way that allows further processing in other systems is becoming increasingly important. It is a critical missing link for integrating proof assistants both with each other or with peripheral tools such as IDEs or proof checkers. Such representations cannot be generated from library source files because they lack semantic enrichment (inferred types, etc.) and only the original proof assistant is able to process them. But even when using the proof assistant’s internal data structures, the complexities of logic, implementation, and library still make this very difficult. We describe one such representation, namely for the library of Coq, using OMDoc theory graphs as the target format. Coq is arguably the most formidable of all proof assistant libraries to tackle, and our work makes a significant step forward. On the theoretical side, our main contribution is a translation of the Coq module system into theory graphs. This greatly reduces the complexity of the library as the more arcane module system features are eliminated while preserving most of the structure. On the practical side, our main contribution is an implementation of this translation. It takes the entire Coq library, which is split over hundreds of decentralized repositories, and produces easily-reusable OMDoc files as output.
Authors with CRIS profile
Dennis Müller
Professur für Wissensrepräsentation und -verarbeitung
Florian Rabe
Professur für Wissensrepräsentation und -verarbeitung
Involved external institutions
Italy (IT)How to cite
APA:
Müller, D., Rabe, F., & Sacerdoti Coen, C. (2019). The Coq Library as a Theory Graph. In Claudio Sacerdoti Coen, Andrea Kohlhase, Edwin Brady, Cezary Kaliszyk (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 171-186). Prague: Springer Verlag.
MLA:
Müller, Dennis, Florian Rabe, and Claudio Sacerdoti Coen. "The Coq Library as a Theory Graph." Proceedings of the 12th International Conference on Intelligent Computer Mathematics, CICM 2019, Prague Ed. Claudio Sacerdoti Coen, Andrea Kohlhase, Edwin Brady, Cezary Kaliszyk, Springer Verlag, 2019. 171-186.
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