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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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Bases and Transforms of Set Functions,vents, and the event labels represent the actions performed. In this paper we extend this basis to encompass other temporal metrics by generalizing partial orders to generalized metric spaces, an interpretation of enriched categories due to Lawvere..Two needs then arise: a means of specifying kinds
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A Geometric Approach to MV-Algebras, . : . → . 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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A Geometric Approach to MV-Algebras,es to labels. We study a second-order type system over these operations, supporting both subtyping and polymorphism. Our approach unifies and extends previous notions of records, bounded quantification, record extension, and parametrization by row-variables. The general aim is to provide foundations
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https://doi.org/10.1007/978-3-319-28880-2inction between compile-time, when type-expressions are evaluated, and run-time, when value-expressions are evaluated. This paper proposes a new explanation based on “programming languages as indexed categories” and illustrates, as an application, how ML should be extended to support higher order mo
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Sudip Misra,Barun Kumar Saha,Sujata Palactorisation through candidates. There are many mathematical examples, including the . of a ring (as shown by Diers [81]) and the . of a polynomial, but we are mainly interested in Berry‘s [78] .. In fact we begin with a completely non-mathematical example..The aim is to find domain models in which
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Sudip Misra,Barun Kumar Saha,Sujata Palents. This system is sound for a notion of polynomial-time realizability. An extension of the grading is also considered, giving a notion of “dependant grades”, which is also sound. Furthermore, we define a notion of closed graded multicategory, and show how the structure of polynomial-time realizer
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Sudip Misra,Barun Kumar Saha,Sujata Palrt) in set-theoretical formulation and one category-theoretical by Seely, based on hyperdoctrines. Using notions from Hayashi [1985], we adapt Seely‘s definition in such a way that a model of (non-extensional) 2. order λ-calculus is obtained that satisfies the ζ-rules for the interpretation with val
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