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CJTCS
1999
133views more  CJTCS 1999»
14 years 11 months ago
The Permanent Requires Large Uniform Threshold Circuits
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...
Eric Allender
COMPGEOM
2000
ACM
15 years 3 months ago
A trace bound for the hereditary discrepancy
Let A be the incidence matrix of a set system with m sets and n points, m ≤ n, and let t = tr M, where M = AT A. Finally, let σ = tr M2 be the sum of squares of the elements of ...
Bernard Chazelle, Alexey Lvov
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
15 years 11 months ago
On the fourier tails of bounded functions over the discrete cube
In this paper we consider bounded real-valued functions over the discrete cube, f : {-1, 1}n [-1, 1]. Such functions arise naturally in theoretical computer science, combinatorics...
Irit Dinur, Ehud Friedgut, Guy Kindler, Ryan O'Don...
ENTCS
2000
120views more  ENTCS 2000»
14 years 11 months ago
Efficient Substitution in Hoare Logic Expressions
Substitution plays an important role in Hoare Logic, as it is used in interpreting assignments. When writing a computer-based realization of Hoare Logic, it is therefore important...
Roberto Virga