Unified Decision Procedures for Regular Expression Equivalence

 

Title: Unified Decision Procedures for Regular Expression Equivalence
Authors: Tobias Nipkow and Dmitriy Traytel (traytel /at/ inf /dot/ ethz /dot/ ch)
Submission date: 2014-01-30
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. The formalization is described in a paper of the same name presented at Interactive Theorem Proving 2014.
BibTeX:
@article{Regex_Equivalence-AFP,
  author  = {Tobias Nipkow and Dmitriy Traytel},
  title   = {Unified Decision Procedures for Regular Expression Equivalence},
  journal = {Archive of Formal Proofs},
  month   = jan,
  year    = 2014,
  note    = {\url{http://isa-afp.org/entries/Regex_Equivalence.shtml},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Depends on: Efficient-Mergesort, Regular-Sets