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» The Complexity of Weighted Boolean
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COCO
2009
Springer
96views Algorithms» more  COCO 2009»
13 years 11 months ago
On the Complexity of Boolean Functions in Different Characteristics
Every Boolean function on n variables can be expressed as a unique multivariate polynomial modulo p for every prime p. In this work, we study how the degree of a function in one c...
Parikshit Gopalan, Shachar Lovett, Amir Shpilka
CPC
1998
91views more  CPC 1998»
13 years 7 months ago
Complexity and Probability of Some Boolean Formulas
For any Boolean functionf letL(f) be its formulasizecomplexityin the basis f^ 1g. For every n and every k n=2, we describe a probabilistic distribution on formulas in the basis f^...
Petr Savický
CORR
2010
Springer
154views Education» more  CORR 2010»
13 years 4 months ago
Complexity of Homogeneous Co-Boolean Constraint Satisfaction Problems
Constraint Satisfaction Problems (CSP) constitute a convenient way to capture many combinatorial problems. The general CSP is known to be NP-complete, but its complexity depends on...
Florian Richoux
FOCS
1991
IEEE
13 years 11 months ago
Lower Bounds for the Complexity of Reliable Boolean Circuits with Noisy Gates
We prove that the reliable computation of any Boolean function with sensitivity s requires Ω(s log s) gates if the gates of the circuit fail independently with a fixed positive...
Anna Gál
UC
2005
Springer
14 years 1 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