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A framework for the stepwise refinement of UNITY programs with local variables is proposed. It is centered around two preorders. The first one compares program components with respect to a given context. Aside from being context-sensitive, this order also allows the introduction of local variables. The second preorder compares program contexts with respect to their discriminating power. Using these two relations, program refinement arises as a form of assumption/commitment reasoning. An example illustrates the use of the framework and presents some proof rules.
The simple syntactic and semantic structure of UNITY allows for a natural game-theoretic characterization of the preorders used in the framework.
KeywordsConcurrent Program Denotational Semantic Proof Rule Unity Program Silent Transition
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