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» Elusive Functions and Lower Bounds for Arithmetic Circuits
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CORR
2010
Springer
116views Education» more  CORR 2010»
13 years 7 months ago
Arithmetic circuits: the chasm at depth four gets wider
In their paper on the "chasm at depth four", Agrawal and Vinay have shown that polynomials in m variables of degree O(m) which admit arithmetic circuits of size 2o(m) al...
Pascal Koiran
DAGSTUHL
2007
13 years 8 months ago
Diagonal Circuit Identity Testing and Lower Bounds
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
Nitin Saxena
CIE
2010
Springer
14 years 6 days 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
JACM
2002
122views more  JACM 2002»
13 years 7 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