Foundations of concurrent Kleene algebra

  • A Concurrent Kleene Algebra offers two composition operators, one that stands for sequential execution and the other for concurrent execution. In this paper we investigate the abstract background of this law in terms of independence relations on which a concrete trace model of the algebra is based. Moreover, we show the interdependence of the basic properties of such relations and two further laws that are essential in the application of the algebra to a Jones style rely/guarantee calculus. Finally we reconstruct the trace model in a more abstract setting based on the notion of atoms from lattice theory.

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Author:Charles Antony Richard Hoare, Bernhard MöllerGND, Georg StruthGND, Ian Wehrman
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Series (Serial Number):Reports / Technische Berichte der Fakultät für Angewandte Informatik der Universität Augsburg (2009-05)
Publisher:Institut für Informatik, Universität Augsburg
Place of publication:Augsburg
Year of first Publication:2009
Publishing Institution:Universität Augsburg
Contributing Corporation:Microsoft Research Cambridge, University of Sheffield, University of Texas at Austin
Release Date:2009/09/01
Institutes:Fakultät für Angewandte Informatik
Fakultät für Angewandte Informatik / Institut für Informatik
Fakultät für Angewandte Informatik / Institut für Informatik / Professur für Programmiermethodik und Multimediale Informationssysteme
Dewey Decimal Classification:0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik
Licence (German):Deutsches Urheberrecht