accrue

from The American Heritage® Dictionary of the English Language, 5th Edition.

• intransitive verb To come to one as a gain, addition, or increment.
• intransitive verb To increase, accumulate, or come about as a result of growth.
• intransitive verb To come into existence as a claim that is legally enforceable.
• intransitive verb To accumulate over time.

from The Century Dictionary.

• noun An accession; addition; reinforcement.
• noun A loop or stitch forming an extra mesh in network.
• To grow; increase; augment.
• To happen or result as a natural growth; come or fall as an addition or increment, as of profit or loss, advantage or damage; arise in due course: as, a profit accrues to government from the coinage of copper; the natural increase accrues to the common benefit.
• In law, to become a present and enforcible right or demand.

from the GNU version of the Collaborative International Dictionary of English.

• noun obsolete Something that accrues; advantage accruing.
• intransitive verb To increase; to augment.
• intransitive verb To come to by way of increase; to arise or spring as a growth or result; to be added as increase, profit, or damage, especially as the produce of money lent.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• verb intransitive To increase, to augment; to come to by way of increase; to arise or spring as a growth or result; to be added as increase, profit, or damage, especially as the produce of money lent.
• verb intransitive, accounting To be incurred as a result of the passage of time.
• verb intransitive, law To become an enforceable and permanent right.
• noun obsolete Something that accrues; advantage accruing

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

• verb come into the possession of
• verb grow by addition