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» On Proofs about Threshold Circuits and Counting Hierarchies
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LICS
1998
IEEE
13 years 8 months ago
On Proofs about Threshold Circuits and Counting Hierarchies
Hierarchies (Extended Abstract) Jan Johannsen Chris Pollett Department of Mathematics Department of Computer Science University of California, San Diego Boston University La Jolla,...
Jan Johannsen, Chris Pollett
CJTCS
1999
133views more  CJTCS 1999»
13 years 3 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
IPL
2007
111views more  IPL 2007»
13 years 4 months ago
Powering requires threshold depth 3
We study the circuit complexity of the powering function, defined as POWm(Z) = Zm for an n-bit integer input Z and an integer exponent m poly(n). Let LTd denote the class of func...
Alexander A. Sherstov
DT
2006
109views more  DT 2006»
13 years 4 months ago
Test Consideration for Nanometer-Scale CMOS Circuits
The ITRS (International Technology Roadmap for Semiconductors) predicts aggressive scaling down of device size, transistor threshold voltage and oxide thickness to meet growing de...
Kaushik Roy, T. M. Mak, Kwang-Ting (Tim) Cheng
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 5 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets