Title: Behavioural equivalence for a graph rewriting model of concurrent programs

Authors: Masaki Murakami

Addresses: Mathematical Science and Electronic Technology, Graduate School of Natural Science and Technology, Okayama University, Okayama, Japan

Abstract: This paper presents a formal model of concurrent systems based on graph rewriting to represent scopes of communication channel names precisely. A bipartite directed acyclic graph represents a concurrent system consists of a number of processes and messages. Each process or message corresponds to a source node of the graph. Names of communication channel in the system are sink nodes. The edges of the graph represent the scopes of the names in the system. The operational semantics of the system is given as a labelled transition system. The model presented here makes it possible to represent local names that their scope is not nested. The author defines the weak bisimulation equivalence relation that two systems are equivalent in their behaviours. The author shows that the equivalence relation is a congruence relation wrt prefix, new-name, replication and composition.

Keywords: distributed computing; theory of concurrency; pi-calculus; bisimilarity; graph rewriting; concurrent systems modelling; communication channels; semantics; behavioural equivalence; concurrent programs.

DOI: 10.1504/WRSTSD.2010.032352

World Review of Science, Technology and Sustainable Development, 2010 Vol.7 No.1/2, pp.169 - 180

Published online: 31 Mar 2010 *

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