Titlebook: Call-By-Push-Value; A Functional/Imperat Paul Blain Levy Book 2003 Kluwer Academic Publishers 2003 Calc.Tuple.boundary element method.calcu

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Semantics In Element StyleCertain parts of this chapter are designated .. They are needed for Chap. 11 but not for Chap. 10, and may be omitted if desired.

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All Models are Categorical ModelsWe have seen that any cartesian model gives a sound semantics for x-calculus, any CBPV adjunction model gives a sound semantics for CBPV, etc. But it is useful to know that . model of x-calculus is a cartesian category, so that when we search for cartesian categories, we are not excluding a potentially interesting model.

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Representing ObjectsA key concept of category theory is that of . (or ., or .). This concept can be defined in both element style and naturality style—the equivalence of the two definitions follows from the Yoneda Lemma. So by describing something as a representable object, we automatically obtain both an element-style and a naturality-style description.

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Book 2003ves. This monograph, written for graduate students and researchers, exposes the call-by-push-value structure underlying a remarkable range of semantics, including operational semantics, domains, possible worlds, continuations and games. .

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