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A Compositional Specification Theory for Component Behaviours

Abstract : We propose a compositional specification theory for reason- ing about components that interact by synchronisation of input and out- put (I/O) actions, in which the specification of a component constrains the temporal ordering of interactions with the environment. Such a the- ory is motivated by the need to support composability of components, in addition to modelling environmental assumptions, and reasoning about run-time behaviour. Models can be specified operationally by means of I/O labelled transition systems augmented by an inconsistency predi- cate on states, or in a purely declarative manner by means of traces. We introduce a refinement preorder that supports safe-substitutivity of components. Our specification theory includes the operations of parallel composition for composing components at run-time, logical conjunction for independent development, and quotient for incremental development. We prove congruence properties of the operations and show correspon- dence between the operational and declarative frameworks.
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https://hal.inria.fr/hal-00665599
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Submitted on : Friday, February 3, 2012 - 2:43:55 PM
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Taolue Chen, Chris Chilton, Bengt Jonsson, Marta Kwiatkowska. A Compositional Specification Theory for Component Behaviours. 2012. ⟨hal-00665599⟩

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