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FOCS
1992
IEEE
14 years 3 months ago
Separating the Communication Complexities of MOD m and MOD p Circuits
: We prove in this paper that it is much harder to evaluate depth
Vince Grolmusz
FOCS
1992
IEEE
14 years 3 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
14 years 3 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...
FOCS
1992
IEEE
14 years 3 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
14 years 3 months ago
Quadratic Dynamical Systems (Preliminary Version)
The main purpose of this paper is to promote the study of computational aspects, primarily the convergence rate, of nonlinear dynamical systems from a combinatorial perspective. W...
Yuri Rabinovich, Alistair Sinclair, Avi Wigderson
FOCS
1992
IEEE
14 years 3 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
14 years 3 months ago
On the Fault Tolerance of Some Popular Bounded-Degree Networks
In this paper, we analyze the fault tolerance of several bounded-degree networks that are commonly used for parallel computation. Among other things, we show that an N-node butterf...
Frank Thomson Leighton, Bruce M. Maggs, Ramesh K. ...
FOCS
1992
IEEE
14 years 3 months ago
Efficient Inference of Partial Types
Partial types for the -calculus were introduced by Thatte in 1988 [3] as a means of typing objects that are not typable with simple types, such as heterogeneous lists and persiste...
Dexter Kozen, Jens Palsberg, Michael I. Schwartzba...
FOCS
1992
IEEE
14 years 3 months ago
Fault-tolerant Wait-free Shared Objects
Wait-free implementations of shared objects tolerate the failure of processes, but not the failure of base objects from which they are implemented. We consider the problem of imple...
Prasad Jayanti, Tushar Deepak Chandra, Sam Toueg