Unifying Theories of Parallel Programming

Woodcock, J.C.P. and Hughes, A. (2002) Unifying Theories of Parallel Programming. In: Formal Methods and Software Engineering. Lecture Notes in Computer Science, 0302-9743 . Springer Berlin / Heidelberg, pp. 24-37. ISBN 978-3-540-00029-7.

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Official URL
http://dx.doi.org/10.1007/3-540-36103-0_5

Abstract

We are developing a shared-variable refinement calculus in the style of the sequential calculi of Back, Morgan, and Morris. As part of this work, we’re studying different theories of shared-variable programming. Using the concepts and notations of Hoare & He’s unifying theories of programming (UTP), we give a formal semantics to a programming language that contains sequential composition, conditional statements, while loops, nested parallel composition, and shared variables. We first give a UTP semantics to labelled action systems, and then use this to give the semantics of our programs. Labelled action systems have a unique normal form that allows a simple formalisation and validation of different logics for reasoning about shared-variable programs. In this paper, we demonstrate how this is done for Lamport’s Concurrent Hoare Logic.

Item Type: Book section
Additional information: Notes for Marktoberdorf Summer School
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Faculties > Science Technology and Medical Studies > School of Computing > Systems Architecture Group
Depositing User: Mark Wheadon
Date Deposited: 24 Nov 2008 17:59
Last Modified: 22 May 2011 00:01
Resource URI: http://kar.kent.ac.uk/id/eprint/13663 (The current URI for this page, for reference purposes)
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