logical vs formal

logical is not a noun while formal is a noun.

Word	Noun	Adjective	Verb	Adverb
logical	No	Yes	No	No
formal	Yes	Yes	No	No

logical (noun)	formal (noun)
	a gown for evening wear
	a lavish dance requiring formal attire

logical (adjective)	formal (adjective)
capable of or reflecting the capability for correct and valid reasoning	being in accord with established forms and conventions and requirements (as e.g. of formal dress)
marked by an orderly, logical, and aesthetically consistent relation of parts	(of spoken and written language) adhering to traditional standards of correctness and without casual, contracted, and colloquial forms
capable of thinking and expressing yourself in a clear and consistent manner	refined or imposing in manner or appearance; befitting a royal court
based on known statements or events or conditions	logically deductive
	represented in simplified or symbolic form
	characteristic of or befitting a person in authority