NOUN (2)

1. the state of being complete and entire; having everything that is needed;

2. (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;

The Collaborative International Dictionary of English v.0.48:

Completeness \Com*plete"ness\, n.
   The state of being complete.
   [1913 Webster]

WordNet (r) 3.0 (2006):

completeness
    n 1: the state of being complete and entire; having everything
         that is needed [ant: incompleteness, rawness]
    2: (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

The Free On-line Dictionary of Computing (30 December 2018):

complete
completeness

   See also complete graph, complete inference system,
   complete lattice, complete metric space, complete partial
   ordering, complete theory.

   [1. or 2. or both?]

   (1996-04-24)