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» The Nonhomomorphicity of Boolean Functions
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DM
2010
77views more  DM 2010»
13 years 8 months ago
Representing (0, 1)-matrices by boolean circuits
A boolean circuit represents an n by n (0,1)-matrix A if it correctly computes the linear transformation y = Ax over GF(2) on all n unit vectors. If we only allow linear boolean f...
Stasys Jukna
DAC
2001
ACM
14 years 9 months ago
Factoring and Recognition of Read-Once Functions using Cographs and Normality
An approach for factoring general boolean functions was described in [15, 16] which is based on graph partitioning algorithms. In this paper, we present a very fast algorithm for ...
Martin Charles Golumbic, Aviad Mintz, Udi Rotics
DAC
2003
ACM
14 years 9 months ago
Large-scale SOP minimization using decomposition and functional properties
In some cases, minimum Sum-Of-Products (SOP) expressions of Boolean functions can be derived by detecting decomposition and observing the functional properties such as unateness, ...
Alan Mishchenko, Tsutomu Sasao
FSTTCS
2009
Springer
14 years 2 months ago
Non-Local Box Complexity and Secure Function Evaluation
ABSTRACT. A non-local box is an abstract device into which Alice and Bob input bits x and y respectively and receive outputs a and b respectively, where a, b are uniformly distribu...
Marc Kaplan, Iordanis Kerenidis, Sophie Laplante, ...
COCO
2004
Springer
118views Algorithms» more  COCO 2004»
14 years 1 months ago
Graph Properties and Circular Functions: How Low Can Quantum Query Complexity Go?
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...
Xiaoming Sun, Andrew Chi-Chih Yao, Shengyu Zhang