owe

verbs

be obliged to pay or repay
owe
be indebted to, in an abstract or intellectual sense
"This new theory owes much to Einstein's Relativity Theory"
owe
is a type of (narrower)
be based on; of theories and claims, for example
"What's this new evidence based on?"
build on, build upon, repose on, rest on
be in debt
"She owes me $200"; "I still owe for the car"; "The thesis owes much to his adviser"
owe
is a type of (narrower)
have the quality of being; (copula, used with an adjective or a predicate noun)
"John is rich"; "This is not a good answer"
be