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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Projections for polymorphic strictness analysis,erpret parameterised types as functors in a suitable category, and show that they preserve monics and epics. Then we define “strong” and “weak” polymorphism — the latter admitting certain projections that are not polymorphic in the usual sense. We prove that, under the right conditions, a weakly pol

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On the semantics of second order lambda calculus: From bruce-meyer-mitchell models to hyperdoctrinert) 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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Declarative continuations: An investigation of duality in programming language semantics,tension of the typed λ-calculus is introduced, where values and continuations play dual roles, permitting mirror-image syntax for dual categorical concepts like products and coproducts. An implementable semantic description and a static type system for this calculus are presented. We also give a cat

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Logic representation in LF,lopment environment. In previous work we have developed a theory of representation of logics in a logical framework and considered the behaviour of structured theory presentations under representation. That work was based on the simplifying assumption that logics are characterized as families of con

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An abstract formulation for rewrite systems,ate some fundamental properties of rewrites. Recent developments in the general theory of 2-categories are then used to give a theorem stating conditions under which rewrite derivations exist, and to give further conditions under which there is a normal form for a derivation, hence a deterministic m