carry on vs re-start

carry on and re-start both are verbs.

Word	Noun	Adjective	Verb	Adverb
carry on	No	No	Yes	No
re-start	No	No	Yes	No

As verbs, re-start is a hyponym of carry on; that is, re-start is a word with a more specific, narrower meaning than carry on:

carry on (verb)	re-start (verb)
continue talking	take up or begin anew
direct the course of; manage or control	start an engine again, for example
misbehave badly; act in a silly or improper way
keep or maintain in unaltered condition; cause to remain or last