The Collaborative International Dictionary of English v.0.48:

Halve \Halve\ (h[aum]v), v. t. [imp. & p. p. Halved
   (h[aum]vd); p. pr. & vb. n. Halving.] [From Half.]
   1. To divide into two equal parts; as, to halve an apple; to
      be or form half of.
      [1913 Webster]

            So far apart their lives are thrown
            From the twin soul that halves their own. --M.
                                                  Arnold.
      [1913 Webster]

   2. (Arch.) To join, as two pieces of timber, by cutting away
      each for half its thickness at the joining place, and
      fitting together.
      [1913 Webster]

   3. Of a hole, match, etc., to reach or play in the same
      number of strokes as an opponent.

Moby Thesaurus II by Grady Ward, 1.0:

34 Moby Thesaurus words for "halving":
   Janus, ambiguity, ambivalence, bifidity, biformity, bifurcation,
   bipartition, bisection, branching, by two, conjugation,
   cutting in two, dichotomy, dimidiation, division, doubleness,
   doublethink, doubling, dualism, duality, duplexity, duplication,
   duplicity, equivocality, forking, in half, irony, pairing,
   polarity, ramification, subdivision, twinning, two-facedness,
   twoness