meaning of completeness

1. The state of being complete.
2. completeness complete complete partial ordering 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.
3. logic an attribute of a logical system that is so constituted that a contradiction arises if any proposition is introduced that cannot be derived from the axioms of the system

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