Decidability of Branching Bisimulation on Normed Commutative Context-Free Processes

  • Wojciech Czerwiński
  • Piotr Hofman
  • Sławomir Lasota
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6901)


We investigate normed commutative context-free processes (Basic Parallel Processes). We show that branching bisimilarity admits the small response property: in the Bisimulation Game, Duplicator always has a response leading to a process of size linearly bounded with respect to the Spoiler’s process. The linear bound is effective, which leads to decidability of branching bisimilarity. For weak bisimilarity, we are able merely to show existence of some linear bound, which is not sufficient for decidability. We conjecture however that the same effective bound holds for weak bisimilarity as well. We believe that further elaboration of novel techniques developed in this paper may be sufficient to demonstrate decidability.


Normal Form Winning Strategy Norm Preserve Silent Transition Variable Occurrence 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Wojciech Czerwiński
    • 1
  • Piotr Hofman
    • 1
  • Sławomir Lasota
    • 1
  1. 1.Institute of InformaticsUniversity of WarsawPoland

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