%0 Journal Article %T Computation in word-hyperbolic groups %A David B. A. Epstein %A Derek F. Holt %J Mathematics %D 1998 %I arXiv %X We describe a procedure which verifies that a group given by generators and relators is word-hyperbolic. This procedure always works with a group which is word-hyperbolic, provided there is sufficient memory and time devoted to the problem. If the group is not word-hyperbolic, the procedure continues indefinitely. We also describe a procedure which computes the thinness of geodesic triangles in the Cayley graph of a word-hyperbolic group. Again this procedure is bound to work, given sufficient memory and time. %U http://arxiv.org/abs/math/9811012v1