cancel vs erase

cancel is a noun but erase is not a noun.

Word	Noun	Adjective	Verb	Adverb
cancel	Yes	No	Yes	No
erase	No	No	Yes	No

As verbs, erase is a hyponym of cancel; that is, erase is a word with a more specific, narrower meaning than cancel:

Other hyponyms of cancel include efface, rub out, score out, wipe off, excise, expunge, scratch, strike.

cancel (noun)	erase (noun)
a notation cancelling a previous sharp or flat

cancel (verb)	erase (verb)
make invalid for use	remove from memory or existence
remove or make invisible	wipe out digitally or magnetically recorded information
declare null and void; make ineffective	remove by or as if by rubbing or erasing
postpone indefinitely or annul something that was scheduled
make up for