<theory> (cpo) A partial ordering of a set under a relation, where all directed subsets have a least upper bound. A cpo is usually defined to include a least element, bottom (David Schmidt calls this a pointed cpo). A cpo which is algebraic and boundedly complete is a (Scott) domain.
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Nearby terms: complete lattice « complete metric space « completeness « complete partial ordering » complete theory » complete unification » Complex Instruction Set Computer