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Journal article · Preprint article · Conference paper

A Stochastic Broadcast Pi-Calculus

By Song, Lei1; Nielson, Flemming2,3; Nielsen, Bo Friis3,4

From

IT University of Copenhagen1

Language-Based Technology, Department of Informatics and Mathematical Modeling, Technical University of Denmark2

Department of Informatics and Mathematical Modeling, Technical University of Denmark3

Mathematical Statistics, Department of Informatics and Mathematical Modeling, Technical University of Denmark4

In this paper we propose a stochastic broadcast PI-calculus which can be used to model server-client based systems where synchronization is always governed by only one participant. Therefore, there is no need to determine the joint synchronization rates. We also take immediate transitions into account which is useful to model behaviors with no impact on the temporal properties of a system.

Since immediate transitions may introduce non-determinism, we will show how these non-determinism can be resolved, and as result a valid CTMC will be obtained finally. Also some practical examples are given to show the application of this calculus.

Language: English
Publisher: Open Publishing Association
Year: 2011
Pages: 74-88
Proceedings: 9th Workshop on Quantitative Aspects of Programming Languages
ISSN: 20752180
Types: Journal article , Preprint article and Conference paper
DOI: 10.4204/EPTCS.57.6
ORCIDs: Nielson, Flemming and Nielsen, Bo Friis
Keywords

Electronic computers. Computer science Mathematics QA1-939 QA75.5-76.95 cs.PF

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