Bisimilarity is not finitely based over BPA with interrupt

Authors:
Luca Aceto;Wan Fokkink;Anna Ingolfsdottir;Sumit Nain
Affiliations:
Brics (Basic Research in Computer Science), Centre of the Danish National Research Foundation, Department of Computer Science, Aalborg University, Aalborg Ø, Denmark;Department of Computer Science, Section Theoretical Computer Science, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands;Brics (Basic Research in Computer Science), Centre of the Danish National Research Foundation, Department of Computer Science, Aalborg University, Aalborg Ø, Denmark;Brics (Basic Research in Computer Science), Centre of the Danish National Research Foundation, Department of Computer Science, Aalborg University, Aalborg Ø, Denmark
Venue:
CALCO'05 Proceedings of the First international conference on Algebra and Coalgebra in Computer Science
Year:
2005

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Abstract

This paper shows that bisimulation equivalence does not afford a finite equational axiomatization over the language obtained by enriching Bergstra and Klop's Basic Process Algebra with the interrupt operator. Moreover, it is shown that the collection of closed equations over this language is also not finitely based. In sharp contrast to these results, the collection of closed equations over the language BPA enriched with the disrupt operator is proven to be finitely based.