A characterization of regular expressions under bisimulation

  • Authors:
  • J. C. M. Baeten;F. Corradini;C. A. Grabmayer

  • Affiliations:
  • Technische Universiteit Eindhoven, Eindhoven, The Netherlands;Università di Camerino, Camerino, Italy;Vrije Universiteit, Amsterdam, The Netherlands

  • Venue:
  • Journal of the ACM (JACM)
  • Year:
  • 2007

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Abstract

We solve an open question of Milner [1984]. We define a set of so-called well-behaved finite automata that, modulo bisimulation equivalence, corresponds exactly to the set of regular expressions, and we show how to determine whether a given finite automaton is in this set. As an application, we consider the star height problem.