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Relational Properties of Domains Export

Information and Computation, Vol. 127, No. 2. (1996), pp. 66-90.

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denotational-semantics domain-theory

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New tools are presented for reasoning about properties of recursively defined domains. We work within a general, category-theoretic framework for various notions of `relation' on domains and for actions of domain constructors on relations. Freyd's analysis of recursive types in terms of a property of mixed initiality/finality is transferred to a corresponding property of invariant relations. The existence of invariant relations is proved under completeness assumptions about the notion of...


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