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Publication Detail
Meet-completions and representations of ordered domain algebras
Abstract
We apply the well known equivalence between meet-completions of posets and standard closure operators to construct a meet-completion for ordered domain algebras which simultaneously serves as the base of a representation for such algebras, thereby proving that ordered domain algebras have the finite representation property. We show that many of the equations defining ordered domain algebras are preserved in this completion but associativity, ({\bf D2}) and ({\bf D6}) can fail in the completion.
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Dept of Computer Science
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