A process algebra with global variables

Mark Bouwman
(Eindhoven University of Technology)
Bas Luttik
(Eindhoven University of Technology)
Wouter Schols
Tim A.C. Willemse
(Eindhoven University of Technology)

In standard process algebra, parallel components do not share a common state and communicate through synchronisation. The advantage of this type of communication is that it facilitates compositional reasoning. For modelling and analysing systems in which parallel components operate on shared memory, however, the communication-through-synchronisation paradigm is sometimes less convenient. In this paper we study a process algebra with a notion of global variable. We also propose an extension of Hennessy-Milner logic with predicates to test and set the values of the global variables, and prove correspondence results between validity of formulas in the extended logic and stateless bisimilarity and between validity of formulas in the extended logic without the set operator and state-based bisimilarity. We shall also present a translation from the process algebra with global variables to a fragment of mCRL2 that preserves the validity of formulas in the extended Hennessy-Milner logic.

In Ornela Dardha and Jurriaan Rot: Proceedings Combined 27th International Workshop on Expressiveness in Concurrency and 17th Workshop on Structural Operational Semantics (EXPRESS/SOS 2020), Online, 31 August 2020, Electronic Proceedings in Theoretical Computer Science 322, pp. 33–50.
Published: 27th August 2020.

ArXived at: http://dx.doi.org/10.4204/EPTCS.322.5 bibtex PDF
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