On the Power of Labels in Transition Systems

  • Authors:
  • Jirí Srba

  • Affiliations:
  • -

  • Venue:
  • CONCUR '01 Proceedings of the 12th International Conference on Concurrency Theory
  • Year:
  • 2001

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Abstract

In this paper we discuss the role of labels in transition systems with regard to bisimilarity and model checking problems. We suggest a general reduction from labelled transition systems to unlabelled ones, preserving bisimilarity and satisfiability of µ-calculus formulas. We apply the reduction to the class of transition systems generated by Petri nets and pushdown automata, and obtain several decidability/ complexity corollaries for unlabelled systems. Probably the most interesting result is undecidability of strong bisimilarity for unlabelled Petri nets.