integrality vs completeness

integrality and completeness both are nouns.

Word	Noun	Adjective	Verb	Adverb
integrality	Yes	No	No	No
completeness	Yes	No	No	No

As nouns, completeness is a hypernym of integrality; that is, completeness is a word with a broader meaning than integrality:

integrality: the state of being total and complete
completeness: the state of being complete and entire; having everything that is needed

integrality (noun)	completeness (noun)
the state of being total and complete	(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 state of being complete and entire; having everything that is needed