We give a new characterization of NP: the class NP contains exactly those languages L for which membership proofs (a proof that an input x is in L) can be verified probabilisticall...
We announce methods for e cient management of solvable matrix groups over nite elds. We show that solvability and nilpotence can be tested in polynomial-time. Such e ciency seems ...
The class PCP(f(n), g(n)) consists of all languages L for which there exists a polynomial-time probabilistic oracle machine that uses O(f(n)) random bits, queries O(g(n)) bits of ...
Consider a convex set P in IRd and a piecewise polynomial concave function F: P IR. Let A be an algorithm that given a point x IRd computes F(x) if x P, or returns a concave po...
We consider a variant of the traditional task of explicitly reconstructing algebraic functions from black box representations. In the traditional setting for such problems, one is ...
Sigal Ar, Richard J. Lipton, Ronitt Rubinfeld, Mad...