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. We construct a powerdomain in a category whose objects areposets of data equipped with a cpo of &quot;intensional&quot; representations ofthe data, and whose morphisms are those monotonic functions betweenposets that are &quot;realized&quot; by continuous functions between the associatedcpos. The category of cpos is contained as a full subcategory that is preservedby lifting, sums, products and function spaces. The constructionof the powerdomain uses a cpo of binary trees, these being intensional...

The convex powerdomain in a category of posets realized by cpos