lexicalize vs formulate

lexicalize and formulate both are verbs.

Word	Noun	Adjective	Verb	Adverb
lexicalize	No	No	Yes	No
formulate	No	No	Yes	No

As verbs, formulate is a hypernym of lexicalize; that is, formulate is a word with a broader meaning than lexicalize:

lexicalize: make or coin into a word or accept a new word into the lexicon of a language
formulate: put into words or an expression

Other hypernyms of lexicalize include articulate, give voice, phrase, word.

lexicalize (verb)	formulate (verb)
make or coin into a word or accept a new word into the lexicon of a language	put into words or an expression
	elaborate, as of theories and hypotheses
	come up with (an idea, plan, explanation, theory, or principle) after a mental effort
	prepare according to a formula