The Collaborative International Dictionary of English v.0.48:

Grant \Grant\ (gr[.a]nt), v. t. [imp. & p. p. Granted; p. pr.
   & vb. n. Granting.] [OE. graunten, granten, OF. graanter,
   craanter, creanter, to promise, yield, LL. creantare to
   promise, assure, for (assumed LL.) credentare to make
   believe, fr. L. credens, p. pr. of credere to believe. See
   Creed, Credit.]
   1. To give over; to make conveyance of; to give the
      possession or title of; to convey; -- usually in answer to
      petition.
      [1913 Webster]

            Grant me the place of this threshing floor. --1
                                                  Chron. xxi.
                                                  22.
      [1913 Webster]

   2. To bestow or confer, with or without compensation,
      particularly in answer to prayer or request; to give.
      [1913 Webster]

            Wherefore did God grant me my request. --Milton.
      [1913 Webster]

   3. To admit as true what is not yet satisfactorily proved; to
      yield belief to; to allow; to yield; to concede.
      [1913 Webster]

            Grant that the Fates have firmed by their decree.
                                                  --Dryden.

   Syn: Syn.-- To give; confer; bestow; convey; transfer; admit;
        allow; concede. See Give.
        [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

granted \granted\ adj.
   1. Given.
      [WordNet 1.5]

   2. (Logic, Rhetoric) Acknowledged or assumed as a
      supposition.

   Syn: given.
        [WordNet 1.5]

WordNet (r) 3.0 (2006):

granted
    adj 1: acknowledged as a supposition; "given the engine's
           condition, it is a wonder that it started" [syn: given,
           granted]

Moby Thesaurus II by Grady Ward, 1.0:

54 Moby Thesaurus words for "granted":
   God-given, accepted, accorded, accounted as, acknowledged,
   admitted, affirmed, alleged, allowed, approved, assumed,
   assumptive, authenticated, avowed, bestowed, certified, conceded,
   confessed, confirmed, conjectured, countersigned, deemed, endorsed,
   given, gratuitous, inferred, notarized, postulated, postulational,
   premised, presumed, presumptive, professed, providential, putative,
   ratified, received, recognized, reputed, sealed, signed, stamped,
   supposed, suppositional, supposititious, suppositive,
   sworn and affirmed, sworn to, taken for granted, understood,
   underwritten, validated, vouchsafed, warranted