A note on an expressiveness hierarchy for multi-exit iteration

  • Authors:
  • Luca Aceto;Wan Fokkink;Anna Ingólfsdóttir

  • Affiliations:
  • BRICS, Centre of the Danish National Research Foundation, Department of Computer Science, Aalborg University, Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark;CWI, Department of Software Engineering, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands;BRICS, Centre of the Danish National Research Foundation, Department of Computer Science, Aalborg University, Fr. Bajersvej 7E, 9220 Aalborg Ø, Denmark and Iceland Genomics Corporation, Snorr ...

  • Venue:
  • Information Processing Letters
  • Year:
  • 2003

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Abstract

Multi-exit iteration is a generalization of the standard binary Kleene star operation. The addition of this construct to Basic Process Algebra (BPA) yields a more expressive language than that obtained by augmenting BPA with the standard binary Kleene star. This note offers an expressiveness hierarchy, modulo bisimulation equivalence, for the family of multi-exit iteration operators proposed by Bergstra, Bethke and Ponse.