Abstract. We present the core-/:. fragment of/~ and its program logic. We illustrate the adequacy of E~ as a recta-language for jointly defining operational semantics and program logics of languages with concurrent and logic features, considering the case of a specification logic for concurrent objects addressing mobile features like creation of objects and channels in a simple way. Specifications are executable by a translation that assigns to every specification a model in the form of a core-s program. We also illustrate the usefulness of this framework in reasoning about systems and their components.
In an attempt to devise a general notion of model for spatial logic, we have been led to consider transition systems with an additional so-called spatial structure on the states, with both the transition and the spatial structures described in coalgebraic terms. In this paper we argue that such transition systems with spatial structure can be seen as a noninterleaving model of concurrency, by providing translations to and from a certain category of Petri nets.
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