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» On a quasi-ordering on Boolean functions
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JACIII
2007
99views more  JACIII 2007»
13 years 7 months ago
Asymptotic Behavior of Linear Approximations of Pseudo-Boolean Functions
We study the problem of approximating pseudoBoolean functions by linear pseudo-Boolean functions. Pseudo-Boolean functions generalize ordinary Boolean functions by allowing the fu...
Guoli Ding, Robert F. Lax, Peter P. Chen, Jianhua ...
COCO
2003
Springer
91views Algorithms» more  COCO 2003»
14 years 26 days ago
Extremal properties of polynomial threshold functions
In this paper we give new extremal bounds on polynomial threshold function (PTF) representations of Boolean functions. Our results include the following: • Almost every Boolean ...
Ryan O'Donnell, Rocco A. Servedio
COCO
2011
Springer
216views Algorithms» more  COCO 2011»
12 years 7 months ago
Linear Systems over Finite Abelian Groups
We consider a system of linear constraints over any finite Abelian group G of the following form: i(x1, . . . , xn) ≡ i,1x1 + · · · + i,nxn ∈ Ai for i = 1, . . . , t and e...
Arkadev Chattopadhyay, Shachar Lovett
CL
2000
Springer
13 years 11 months ago
Towards an Efficient Tableau Method for Boolean Circuit Satisfiability Checking
Boolean circuits offer a natural, structured, and compact representation of Boolean functions for many application domains. In this paper a tableau method for solving satisfiabilit...
Tommi A. Junttila, Ilkka Niemelä
JCT
2006
87views more  JCT 2006»
13 years 7 months ago
Construction of bent functions via Niho power functions
A Boolean function with an even number n = 2k of variables is called bent if it is maximally nonlinear. We present here a new construction of bent functions. Boolean functions of ...
Hans Dobbertin, Gregor Leander, Anne Canteaut, Cla...