The study of Gromov hyperbolic groups has been so fruitful that extending tools from this setting to more general classes of groups is a central theme in geometric group theory. The talk will be about our result with Joshua Eike showing that for any finitely generated group G, and any finite generating set A, the language consisting of all geodesics in Cay(G,A) with a "hyperbolicity condition" is a regular language. If G is hyperbolic itself, then all geodesics in Cay(G,A) will satisfy the hyperbolicity condition, therefore, our result recovers a classical result by James Cannon stating that the language of all geodesics in a hyperbolic group is a regular languages."