run up vs hoist

run up is not a noun while hoist is a noun.

Word	Noun	Adjective	Verb	Adverb
run up	No	No	Yes	No
hoist	Yes	No	Yes	No

As verbs, run up and hoist are synonyms defined as:

run up (noun)	hoist (noun)
	lifting device for raising heavy or cumbersome objects

run up (verb)	hoist (verb)
pile up (debts or scores)	raise or haul up with or as if with mechanical help
raise by using ropes and pulleys	raise by using ropes and pulleys
fasten by sewing; do needlework	move from one place to another by lifting
make by sewing together quickly
accumulate, sometimes as a debt