logical notation vs notation

logical notation and notation both are nouns.

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

As nouns, notation is a hypernym of logical notation; that is, notation is a word with a broader meaning than logical notation:

Other hypernyms of logical notation include notational system.

logical notation (noun)	notation (noun)
a notation used in logic.	the activity of representing something by a special system of marks or characters
	a technical system of symbols used to represent special things
	a comment or instruction (usually added)