A process algebraic framework for specification and validation of real-time systems
Résumé
Following the trend to combine techniques to cover several facets of the development of modern systems, an integration of Z and CSP, called , has been proposed as a refinement language; its relational model, based on the unifying theories of programming (UTP), justifies refinement in the context of both Z and CSP. In this paper, we introduce , a timed extension of , and present a new UTP time theory, which we use to give semantics to and to validate some of its laws. In addition, we provide a framework for validation of timed programs based on FDR, the CSP model-checker. In this technique, a syntactic transformation strategy is used to split a timed program into two parallel components: an untimed program that uses timer events, and a collection of timers. We show that, with the timer events, it is possible to reason about time properties in the untimed language, and so, using FDR. Soundness is established using a Galois connection between the untimed UTP theory of (and CSP) and our time theory.
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