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» The Size and Depth of Layered Boolean Circuits
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LATIN
2010
Springer
13 years 11 months ago
The Size and Depth of Layered Boolean Circuits
We consider the relationship between size and depth for layered Boolean circuits, synchronous circuits and planar circuits as well as classes of circuits with small separators. In ...
Anna Gál, Jing-Tang Jang
ICALP
2009
Springer
14 years 5 months ago
Bounds on the Size of Small Depth Circuits for Approximating Majority
In this paper, we show that for every constant 0 < < 1/2 and for every constant d 2, the minimum size of a depth d Boolean circuit that -approximates Majority function on n ...
Kazuyuki Amano
STOC
1989
ACM
96views Algorithms» more  STOC 1989»
13 years 8 months ago
Optimal Size Integer Division Circuits
Division is a fundamental problem for arithmetic and algebraic computation. This paper describes Boolean circuits of bounded fan-in for integer division  nding reciprocals that...
John H. Reif, Stephen R. Tate
IJFCS
2008
102views more  IJFCS 2008»
13 years 4 months ago
Gene Assembly Models and Boolean Circuits
We propose two different ways to simulate Boolean circuits in the framework of ciliate computations, based on the intramolecular and on the intermolecular gene assembly models wit...
Tseren-Onolt Ishdorj, Ion Petre
FOCS
2007
IEEE
13 years 8 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay