archaism vs formulation

archaism and formulation both are nouns.

Word	Noun	Adjective	Verb	Adverb
archaism	Yes	No	No	No
formulation	Yes	No	No	No

As nouns, formulation is a hypernym of archaism; that is, formulation is a word with a broader meaning than archaism:

Other hypernyms of archaism include expression.

archaism (noun)	formulation (noun)
the use of an archaic expression	inventing or contriving an idea or explanation and formulating it mentally
	the style of expressing yourself
	a substance prepared according to a formula