asseverate vs predicate

asseverate is not a noun while predicate is a noun.

Word	Noun	Adjective	Verb	Adverb
asseverate	No	No	Yes	No
predicate	Yes	No	Yes	No

As verbs, predicate is a hyponym of asseverate; that is, predicate is a word with a more specific, narrower meaning than asseverate:

Other hyponyms of asseverate include allege, aver, say, proclaim.

asseverate (noun)	predicate (noun)
	one of the two main constituents of a sentence; the predicate contains the verb and its complements
	(logic) what is predicated of the subject of a proposition; the second term in a proposition is predicated of the first term by means of the copula

asseverate (verb)	predicate (verb)
state categorically	affirm or declare as an attribute or quality of
	involve as a necessary condition of consequence; as in logic
	make the (grammatical) predicate in a proposition