logomachy vs argumentation

logomachy and argumentation both are nouns.

Word	Noun	Adjective	Verb	Adverb
logomachy	Yes	No	No	No
argumentation	Yes	No	No	No

As nouns, argumentation is a hypernym of logomachy; that is, argumentation is a word with a broader meaning than logomachy:

logomachy: argument about words or the meaning of words
argumentation: a discussion in which reasons are advanced for and against some proposition or proposal

Other hypernyms of logomachy include argument, debate.

logomachy (noun)	argumentation (noun)
argument about words or the meaning of words	a course of reasoning aimed at demonstrating a truth or falsehood; the methodical process of logical reasoning
	a discussion in which reasons are advanced for and against some proposition or proposal