1989 | ReviewPaper | Buchkapitel
Equivalence notions for concurrent systems and refinement of actions
verfasst von : Rob van Glabbeek, Ursula Goltz
Erschienen in: Mathematical Foundations of Computer Science 1989
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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We investigate equivalence notions for concurrent systems. We consider ”linear time” approaches where the system behaviour is characterised as the set of possible runs as well as ”branching time” approaches where the conflict structure of systems is taken into account. We show that the usual interleaving equivalences, and also the equivalences based on steps (multisets of concurrently executed actions) are not preserved by refinement of atomic actions. We prove that ”linear time” partial order semantics, where causality in runs is explicit, is invariant under refinement. Finally, we consider various bisimulation equivalences based on partial orders and show that the strongest one of them is preserved by refinement whereas the others are not.