## complete partial ordering

<*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.

Last updated: 1994-11-30

### Nearby terms:

completeness ♦ **complete partial ordering** ♦ complete theory ♦ complete unification

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