logic vs modal logic

logic and modal logic both are nouns.

Word	Noun	Adjective	Verb	Adverb
logic	Yes	No	No	No
modal logic	Yes	No	No	No

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

Other hyponyms of logic include syllogistic.

logic (noun)	modal logic (noun)
the branch of philosophy that analyzes inference	the logical study of necessity and possibility
a system of reasoning	a system of logic whose formal properties resemble certain moral and epistemological concepts
reasoned and reasonable judgment
the principles that guide reasoning within a given field or situation
the system of operations performed by a computer that underlies the machine's representation of logical operations