Unified Decision Procedures for Regular Expression Equivalence

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We formalize a unified framework for verified decision procedures for regular expression equivalence. Five recently published formalizations of such decision procedures (three based on derivatives, two on marked regular expressions) can be obtained as instances of the framework. We discover that the two approaches based on marked regular expressions, which were previously thought to be the same, are different, and we prove a quotient relation between the automata produced by them. The common framework makes it possible to compare the performance of the different decision procedures in a meaningful way.
Original languageEnglish
Title of host publicationITP 2014 - Interactive Theorem Proving : 5th International Conference, ITP 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, Vienna, Austria, July 14-17, 2014, Proceedings
EditorsGerwin Klein, Ruben Gamboa
Number of pages17
Volume8558
PublisherSpringer, Cham
Publication date2014
Pages450-466
DOIs
Publication statusPublished - 2014
Externally publishedYes
SeriesLNCS

ID: 245668659