formulation vs archaism

formulation and archaism both are nouns.

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

As nouns, archaism is a hyponym of formulation; that is, archaism is a word with a more specific, narrower meaning than formulation:

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