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» Lower bounds for circuits with MOD_m gates
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JACM
2002
122views more  JACM 2002»
13 years 5 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
COCO
2008
Springer
74views Algorithms» more  COCO 2008»
13 years 7 months ago
Lower Bounds and Separations for Constant Depth Multilinear Circuits
We prove an exponential lower bound for the size of constant depth multilinear arithmetic circuits computing either the determinant or the permanent (a circuit is called multiline...
Ran Raz, Amir Yehudayoff
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
13 years 9 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
CSR
2009
Springer
13 years 12 months ago
Depth Reduction for Circuits with a Single Layer of Modular Counting Gates
We consider the class of constant depth AND/OR circuits augmented with a layer of modular counting gates at the bottom layer, i.e AC0 ◦MODm circuits. We show that the following ...
Kristoffer Arnsfelt Hansen
CIE
2010
Springer
13 years 10 months ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov