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]