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CJTCS
1999
133views more  CJTCS 1999»
13 years 4 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
13 years 9 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»
14 years 5 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»
13 years 4 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