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» The Nonhomomorphicity of Boolean Functions
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DM
2010
77views more  DM 2010»
15 years 3 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
125
Voted
DAC
2001
ACM
16 years 4 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
108
Voted
DAC
2003
ACM
16 years 4 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
15 years 10 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»
15 years 8 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