modal verb vs modal auxiliary verb

modal verb and modal auxiliary verb both are nouns.

Word	Noun	Adjective	Verb	Adverb
modal verb	Yes	No	No	No
modal auxiliary verb	Yes	No	No	No

As nouns, modal verb and modal auxiliary verb are synonyms defined as:

modal verb and modal auxiliary verb: an auxiliary verb (such as `can' or `will') that is used to express modality

Other synonyms of modal verb include modal, modal auxiliary.

modal verb (noun)	modal auxiliary verb (noun)
an auxiliary verb (such as `can' or `will') that is used to express modality	an auxiliary verb (such as `can' or `will') that is used to express modality