Simulation and Bisimulation over One-Counter Processes

  • Authors:
  • Petr Jancar;Antonín Kucera;Faron Moller

  • Affiliations:
  • -;-;-

  • Venue:
  • STACS '00 Proceedings of the 17th Annual Symposium on Theoretical Aspects of Computer Science
  • Year:
  • 2000

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Abstract

We show an effective construction of (a periodicity description of) the maximal simulation relation for a given one-counter net. Then we demonstrate how to reduce simulation problems over one-counter nets to analogous bisimulation problems over one-counter automata. We use this to demonstrate the decidability of various problems, specifically testing regularity and strong regularity of one-counter nets with respect to simulation equivalence, and testing simulation equivalence between a one-counter net and a deterministic pushdown automaton. Various obvious generalisations of these problems are known to be undecidable.