Approximating Weak Bisimilarity of Basic Parallel Processes

@inproceedings{Hofman2012ApproximatingWB,
  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},
  year={2012}
}
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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References

SHOWING 1-10 OF 19 REFERENCES

Weak Bisimulation Approximants

This paper investigates for this class of processes the minimal ordinal α such that ≈ = ≈α, and reduces a long-standing bound on the approximation hierarchy for weak bisimilarity ≈ over BPP, and shows that ${\approx} = {\approx_{\omega^ \omega}}$.

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.

Decidability and complexity of equivalences for simple process algebras

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

The Joys of Bisimulation

This paper reviews results about bisimulation, from bothh the point of view of automata and from a logical points of view, and offers a new undefinability result.

Petri Nets and the Equivalence Problem

We prove that trace equivalence is undecidable for the very small and natural subclass of Petri nets in which no transition requires more than one token; this subclass corresponds exactly to the

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