License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ITP.2019.13
URN: urn:nbn:de:0030-drops-110683
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/11068/
Chen, Ran ;
Cohen, Cyril ;
Lévy, Jean-Jacques ;
Merz, Stephan ;
Théry, Laurent
Formal Proofs of Tarjan's Strongly Connected Components Algorithm in Why3, Coq and Isabelle
Abstract
Comparing provers on a formalization of the same problem is always a valuable exercise. In this paper, we present the formal proof of correctness of a non-trivial algorithm from graph theory that was carried out in three proof assistants: Why3, Coq, and Isabelle.
BibTeX - Entry
@InProceedings{chen_et_al:LIPIcs:2019:11068,
author = {Ran Chen and Cyril Cohen and Jean-Jacques L{\'e}vy and Stephan Merz and Laurent Th{\'e}ry},
title = {{Formal Proofs of Tarjan's Strongly Connected Components Algorithm in Why3, Coq and Isabelle}},
booktitle = {10th International Conference on Interactive Theorem Proving (ITP 2019)},
pages = {13:1--13:19},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-122-1},
ISSN = {1868-8969},
year = {2019},
volume = {141},
editor = {John Harrison and John O'Leary and Andrew Tolmach},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2019/11068},
URN = {urn:nbn:de:0030-drops-110683},
doi = {10.4230/LIPIcs.ITP.2019.13},
annote = {Keywords: Mathematical logic, Formal proof, Graph algorithm, Program verification}
}
Keywords: |
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Mathematical logic, Formal proof, Graph algorithm, Program verification |
Collection: |
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10th International Conference on Interactive Theorem Proving (ITP 2019) |
Issue Date: |
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2019 |
Date of publication: |
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05.09.2019 |
Supplementary Material: |
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http://www-sop.inria.fr/marelle/Tarjan/contributions.html |