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» The Nonhomomorphicity of Boolean Functions
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JACM
2002
122views more  JACM 2002»
13 years 7 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
TKDE
2002
133views more  TKDE 2002»
13 years 7 months ago
Binary Rule Generation via Hamming Clustering
The generation of a set of rules underlying a classification problem is performed by applying a new algorithm, called Hamming Clustering (HC). It reconstructs the and-or expressio...
Marco Muselli, Diego Liberati
EUROCRYPT
2006
Springer
13 years 11 months ago
Efficient Computation of Algebraic Immunity for Algebraic and Fast Algebraic Attacks
In this paper we propose several efficient algorithms for assessing the resistance of Boolean functions against algebraic and fast algebraic attacks when implemented in LFSRbased s...
Frederik Armknecht, Claude Carlet, Philippe Gabori...
ASPDAC
2007
ACM
80views Hardware» more  ASPDAC 2007»
13 years 12 months ago
Recognition of Fanout-free Functions
Factoring is a logic minimization technique to represent a Boolean function in an equivalent function with minimum literals. When realizing the circuit, a function represented in ...
Tsung-Lin Lee, Chun-Yao Wang
ICFP
2009
ACM
14 years 8 months ago
A functional I/O system or, fun for freshman kids
Functional programming languages ought to play a central role in mathematics education for middle schools (age range: 10?14). After all, functional programming is a form of algebr...
Matthias Felleisen, Robert Bruce Findler, Matthew ...