Abstract
In this paper, we consider bounded-complete domains with maps which preserve existing suprema, and introduce consistent-linear FS-domains. The main conclusions include: 1. The category with consistent-linear FS-domains as objects and Scott continuous functions as morphisms is a cartesian closed category. 2. A bounded-complete domain is completely distributive iff it is a distributive consistent-linear FS-domain. 3. A pointed dcpo L is continuous iff the consistent Hoare powerdomain HC(L) over L is continuous iff HC(L) is a distributive consistent-linear FS-domain.
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