run up vs owe

run up and owe both are verbs.

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

As verbs, owe is a hypernym of run up; that is, owe is a word with a broader meaning than run up:

run up (verb)	owe (verb)
pile up (debts or scores)	be in debt
raise by using ropes and pulleys	be obliged to pay or repay
fasten by sewing; do needlework	be indebted to, in an abstract or intellectual sense
make by sewing together quickly
accumulate, sometimes as a debt