Deciding definability by deterministic regular expressions

  • Authors:
  • Wojciech Czerwiński;Claire David;Katja Losemann;Wim Martens

  • Affiliations:
  • Universität Bayreuth, Germany;Université Paris-Est Marne-la-Vallée, France;Universität Bayreuth, Germany;Universität Bayreuth, Germany

  • Venue:
  • FOSSACS'13 Proceedings of the 16th international conference on Foundations of Software Science and Computation Structures
  • Year:
  • 2013

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Abstract

We investigate the complexity of deciding whether a given regular language can be defined with a deterministic regular expression. Our main technical result shows that the problem is PSPACE-complete if the input language is represented as a regular expression or nondeterministic finite automaton. The problem becomes EXPSPACE-complete if the language is represented as a regular expression with counters.