TY - RPRT A1 - Hoare, Charles Antony Richard A1 - Möller, Bernhard A1 - Struth, Georg A1 - Wehrman, Ian T1 - Foundations of concurrent Kleene algebra N2 - 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. T3 - Reports / Technische Berichte der Fakultät für Angewandte Informatik der Universität Augsburg - 2009-05 KW - Kleene-Algebra Y1 - 2009 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/1302 UR - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-10957 PB - Institut für Informatik, Universität Augsburg CY - Augsburg ER -