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IPL
2010
82views more  IPL 2010»
13 years 3 months ago
New upper bounds on the Boolean circuit complexity of symmetric functions
In this note, we present improved upper bounds on the circuit complexity of symmetric Boolean functions. In particular, we describe circuits of size 4.5n + o(n) for any symmetric ...
E. Demenkov, Arist Kojevnikov, Alexander S. Kuliko...
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
CIE
2010
Springer
13 years 9 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
UC
2005
Springer
13 years 10 months ago
On Computational Complexity of Counting Fixed Points in Symmetric Boolean Graph Automata
Abstract. We study computational complexity of counting the fixed point configurations (FPs) in certain classes of graph automata viewed as discrete dynamical systems. We prove t...
Predrag T. Tosic, Gul A. Agha