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Titlebook: Category Theory and Computer Science; Manchester, UK, Sept David H. Pitt,David E. Rydeheard,Axel Poigné Conference proceedings 1989 Springe

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Sudip Misra,Barun Kumar Saha,Sujata Palot fully describe the function-spaces, which should be equipped with the “.”; this turns out to mean that function-tokens must have “internal symmetries”. It is our purpose to describe the smallest cartesian closed category with these function-spaces which contains Set (the simplest non-trivial quan
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An algebraic view of interleaving and distributed operational semantics for CCS,ransition systems, which embody synchronization algebras. Another advantage of categories is the use of free adjoints of forgetful functors for constructing the models and for comparing transition systems having similar, but different, structures.
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Temporal structures, and . ⊳ ɛ that of .-structured ɛ-labeled spaces. Finally we establish the continuity of these operators..We define the kind language KL whose terms are formed via the operators ! and ⊳ from constants for the basic kinds. A KL kind is the denotation of a KL term, by induction on which we obtain that
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Compositional relational semantics for indeterminate dataflow networks,en define a category EvDom of “event domains,” a (non-full) subcategory of the category of Scott domains and continuous maps, and we obtain a coreflection between Auto and EvDom. It follows, by the limit-preserving properties of coreflectors, that the denotational semantics in which dataflow network
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An algebraic view of interleaving and distributed operational semantics for CCS,eaving and “truly concurrent”, distributed aspects of CCS (without recursion). Among the objects of . and . we choose two . models, called M and . respectively. We show that our interleaving model M essentially coincides with the classical transition system of CCS, while the distributed model . fait
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Compositional relational semantics for indeterminate dataflow networks, . : . → . and .are morphisms of C. We define an algebra of relations in C, including operations of “relabeling,” “sequential composition,” “parallel composition,” and “feedback,” which correspond intuitively to ways in which processes can be composed into networks. Each of these operations is defin
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