[¦fyü·chər ‚ā‚sim¦täd·ə·klē prə′dik·tə·bəl] (relativity) A mathematical restriction on the global nature of an asymptotically flat space-time such that Cauchy data set on a spacelike surface (partial Cauchy surface) S will determine the evolution of the space-time to the future of S ; naked singularities to the future of S are thereby ruled out.