Complete cuboidal sets in axiomatic domain theory

Marcelo Fiore, Gordon D. Plotkin, John Power · 2002

We study the enrichment of models of axiomatic domain theory. To this end, we introduce a new and broader notion of domain, via, that of complete cuboidal set, that complies with the axiomatic requirements. We show that the category of complete cuboidal sets provides a general notion of enrichment for a wide class of axiomatic domain-theoretic structures.

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