come down vs go down

come down and go down both are verbs.

Word	Noun	Adjective	Verb	Adverb
come down	No	No	Yes	No
go down	No	No	Yes	No

As verbs, come down and go down are synonyms defined as:

come down and go down: move downward and lower, but not necessarily all the way

Other synonyms of come down include descend, fall.

As verbs, go down is a hyponym of come down; that is, go down is a word with a more specific, narrower meaning than come down:

come down (verb)	go down (verb)
get sick	grow smaller
be the essential element	stop operating
criticize or reprimand harshly	be defeated
move downward and lower, but not necessarily all the way	be ingested
fall from clouds	go under
	disappear beyond the horizon
	move downward and lower, but not necessarily all the way
	be recorded or remembered