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FOCS
1992
IEEE
13 years 9 months ago
Probabilistic Checking of Proofs; A New Characterization of NP
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...
Sanjeev Arora, Shmuel Safra
FOCS
1992
IEEE
13 years 9 months ago
Computing in Solvable Matrix Groups
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 ...
Eugene M. Luks
FOCS
1992
IEEE
13 years 9 months ago
Proof Verification and Hardness of Approximation Problems
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 ...
Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu...
FOCS
1992
IEEE
13 years 9 months ago
Maximizing Non-Linear Concave Functions in Fixed Dimension
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...
Sivan Toledo
FOCS
1992
IEEE
13 years 9 months ago
Reconstructing Algebraic Functions from Mixed Data
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...