On the Axiomatizability of Priority

Forfattere

  • Luca Aceto
  • Taolue Chen
  • Willem Jan Fokkink
  • Anna Ingólfsdóttir

DOI:

https://doi.org/10.7146/brics.v13i1.21907

Resumé

This paper studies the equational theory of bisimulation equivalence over the process algebra BCCSP extended with the priority operator of Baeten, Bergstra and Klop. It is proven that, in the presence of an infinite set of actions, bisimulation equivalence has no finite, sound, ground-complete equational axiomatization over that language. This negative result applies even if the syntax is extended with an arbitrary collection of auxiliary operators, and motivates the study of axiomatizations using conditional equations. In the presence of an infinite set of actions, it is shown that, in general, bisimulation equivalence has no finite, sound, ground-complete axiomatization consisting of conditional equations over the language studied in this paper. Finally, sufficient conditions on the priority structure over actions are identified that lead to a finite, ground-complete axiomatization of bisimulation equivalence using conditional equations.

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Publiceret

2006-01-11

Citation/Eksport

Aceto, L., Chen, T., Fokkink, W. J., & Ingólfsdóttir, A. (2006). On the Axiomatizability of Priority. BRICS Report Series, 13(1). https://doi.org/10.7146/brics.v13i1.21907

Nummer

Nr. 1 (2006): RS-1 On the Axiomatizability of Priority

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