**Complete Partial Order**

In mathematics, **directed-complete partial orders** and **ω-complete partial orders** (abbreviated to **dcpo**, **ωcpo** or sometimes just **cpo**) are special classes of partially ordered sets, characterized by particular completeness properties. Complete partial orders play a central role in theoretical computer science, in denotational semantics and domain theory.

Read more about Complete Partial Order: Definitions, Examples, Properties, Continuous Functions and Fixpoints

### Other articles related to "complete partial order, order, complete partial orders":

**Complete Partial Order**- Continuous Functions and Fixpoints

... Equipped with the pointwise

**order**, this is again a dcpo, and a cpo whenever Q is a cpo ... Thus the

**complete partial orders**with Scott continuous maps form a cartesian closed category ... Every

**order**-preserving self-map f of a cpo (P, ⊥) has a least fixpoint ...

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