Expansive-bisimulation for context-free processes

  • Authors:
  • Xinxin Liu

  • Affiliations:
  • Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China

  • Venue:
  • Formal methods and hybrid real-time systems
  • Year:
  • 2007

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Abstract

Through the notion of expansive-bisimulation, in this paper we give a finite characterization of bisimulation equivalence for contextfree processes, i.e. we show that two context-free processes are bisimulation equivalent if and only if there is a finite expansive-bisimulation which contains them. This immediately suggests the set of finite expansivebisimulation as a complete class of verifiable evidence for bisimulation equality of context-free processes. Compared with the well known result that two context-free processes are bisimulation equivalent if and only if there is a finite self-bisimulation which relates them, the new result made improvement in the sense that whether a finite relation is an expansive-bisimulation is decidable while whether a finite relation is a self-bisimulation is only semi-decidable.