Unified Decision Procedures for Regular Expression Equivalence

Tobias Nipkow 🌐 and Dmitriy Traytel 🌐

January 30, 2014

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.

Abstract

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 one seems to produce uniformly smaller automata. The common framework makes it possible to compare the performance of the different decision procedures in a meaningful way.

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BSD License

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Session Regex_Equivalence

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× 
@article{Regex_Equivalence-AFP,
  author  = {Tobias Nipkow and Dmitriy Traytel},
  title   = {Unified Decision Procedures for Regular Expression Equivalence},
  journal = {Archive of Formal Proofs},
  month   = {January},
  year    = {2014},
  note    = {\url{https://isa-afp.org/entries/Regex_Equivalence.html},
             Formal proof development},
  ISSN    = {2150-914x},
}
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