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Milan Banković ; Ivan Drecun ; Filip Marić - A proof system for graph (non)-isomorphism verification
lmcs:8898 - Logical Methods in Computer Science, February 1, 2023, Volume 19, Issue 1 - https://doi.org/10.46298/lmcs-19(1:9)2023A proof system for graph (non)-isomorphism verificationArticle
Authors: Milan Banković 
; Ivan Drecun ; Filip Marić
In order to apply canonical labelling of graphs and isomorphism checking in interactive theorem provers, these checking algorithms must either be mechanically verified or their results must be verifiable by independent checkers. We analyze a state-of-the-art algorithm for canonical labelling of graphs (described by McKay and Piperno) and formulate it in terms of a formal proof system. We provide an implementation that can export a proof that the obtained graph is the canonical form of a given graph. Such proofs are then verified by our independent checker and can be used to confirm that two given graphs are not isomorphic.
Source: arXiv.org:2112.14303
Volume: Volume 19, Issue 1
Published on: February 1, 2023
Accepted on: January 17, 2023
Submitted on: December 30, 2021
Keywords: Computer Science - Logic in Computer Science,F.4.1
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