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Observational Equivalences for Timed Stable Event Structures

Andreeva M.V., Virbitskaite I.B.

Fundamenta Informaticae

2006

Vol. 72, nr 1-3

1-19

The intention of the paper is to develop a framework for weak observational equivalences in the setting of a real-time partial order model. In particular, we introduce a family of equivalences of linear time - branching time spectrum based on interleaving, causal tree and partial order semantics, in the setting of a dense time extension of stable event structures with internal actions. We study the relationships between the equivalences showing, on one hand, the discriminating power of the approaches of the spectrum and, on the other hand, the coincidence of some semantics in a concrete approach. Furthermore, when dealing with particular subclasses of the model under consideration, there is no difference between more concrete and more abstract observations.

Analysis of timed concurrent models based on testing equivalence

Andreeva M.V., Bozhenkova E.N., Virbitskaite I.B.

Fundamenta Informaticae

2000

Vol. 43, Nr 1-4

1-20

The intention of the paper is to extend the testing methodology to a model of event structures with a dense time domain. Alternative characterizations of timed testing re-lations are provided. We also present algorithms for deciding timed testing for a sub-class of the model under consideration. The key to our decision algorithms is that timed testing equivalences can be reduced to appropriate symbolic bisimulations.