TY  - JOUR
A1  - Hoare, Tony
A1  - Möller, Bernhard
A1  - Struth, Georg
A1  - Wehrman, Ian
T1  - Concurrent Kleene Algebra and its foundations
T2  - The Journal of Logic and Algebraic Programming
N2  - A Concurrent Kleene Algebra offers two composition operators, related by a weak version of an exchange law: when applied in a trace model of program semantics, one of them that stands for sequential execution and the other for concurrent execution of program components. After introducing this motivating concrete application, we investigate its abstract background in terms of a primitive independence relation between the traces. On this basis, we develop a series of richter algebras: the richest validates a proof calculus for programs similar to that of a Jones style rely/guarantee calculus. On the basis of this abstract algebra, we finally reconstruct the original trace model, using the notion of atoms from lattice theory.
Y1  - 2018
UR  - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/38907
UR  - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-389077
VL  - 80
IS  - 6
SP  - 266
EP  - 296
ER  -