Owe

v. t.	1.	To possess; to have, as the rightful owner; to own. [imp. & p. p. Owed (ōd), (Ought (ạt) obs.); p. pr. & vb. n. Owing (ō"ĭng).] Thou dost here usurp The name thou ow'st not. - Shak.
	2.	To have or possess, as something derived or bestowed; to be obliged to ascribe (something to some source); to be indebted or obliged for; as, he owed his wealth to his father; he owed his victory to his lieutenants. O deem thy fall not owed to man's decree. - Pope.
	3.	To have or be under an obigation to restore, pay, or render (something) in return or compensation for something received; to be indebted in the sum of; as, the subject owes allegiance; the fortunate owe assistance to the unfortunate. The one ought five hundred pence, and the other fifty. - Bible (1551). A son owes help and honor to his father. - Holyday.
	4.	To have an obligation to (some one) on account of something done or received; to be indebted to; as, to owe the grocer for supplies, or a laborer for services.

Verb	1.	owe - be obliged to pay or repay
	2.	owe - be indebted to, in an abstract or intellectual sense; "This new theory owes much to Einstein's Relativity Theory"
	3.	owe - be in debt; "She owes me $200"; "The thesis owes much to his adviser"

build on, build upon, repose on, rest on