Approximating Weak Bisimilarity of Basic Parallel Processes

  title={Approximating Weak Bisimilarity of Basic Parallel Processes},
  author={Piotr Hofman and Patrick Totzke},
  booktitle={Combined International Workshop Expressiveness Concurrency and Workshop Structural Operational Semantics},
This paper explores the well known approximation approach to decide weak bisimilarity of Basic Parallel Processes. We look into how different refinement functions can be used t o prove weak bisimilarity decidable for certain subclasses. We also show their limitations for the general case. In particular, we show a lower bound of ω ∗ ω for the approximants which allow weak steps and a lower bound of ω+ ω for the approximants that allow sequences of actions. The former lower bound negatively… 

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Strong Bisimilarity and Regularity of Basic Parallel Processes Is PSPACE-Hard

We show that the problem of checking whether two processes definable in the syntax of Basic Parallel Processes (BPP) are strongly bisimilar is PSPACE-hard.We also demonstrate that there is a

Decidability of Weak Bisimilarity for a Subset of Basic Parallel Processes

For full Petri nets Jancar proved that bisimulation equivalence is undecidable, and decidability of bisimilarity was also shown for Basic Parallel processes, a restricted subset of Petrinets.

Bisimulation Equivalence is Decidable for Basic Parallel Processes

The decidability proof permits the authors to present a complete axiomatisation for this class of basic parallel processes, which can be viewed as a proper extension of Milner's complete axomatisation of bisimulation equivalence on regular processes.

Strong bisimilarity on basic parallel processes in PSPACE-complete

  • P. Jančar
  • Computer Science
    18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.
  • 2003
The paper shows an algorithm which, given a basic parallel processes (BPP) system, constructs a set of linear mappings which characterize the (strong) bisimulation equivalence on the system, and shows that PSPACE-completeness is established.

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In this thesis I study decidability, complexity and structural properties of strong and weak bisimilarity with respect to two process algebras, Basic Process Algebras and Basic Parallel Process

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A polynomial-time algorithm for deciding bisimulation equivalence of normed Basic Parallel Processes

A polynomial-time algorithm is presented for deciding bisimulation equivalence of so-called Basic Parallel Processes: multisets of elementary processes combined by a commutative parallel-composition