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» The Nonhomomorphicity of Boolean Functions
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AMAI
2008
Springer
13 years 8 months ago
Recognition of interval Boolean functions
Interval functions constitute quite a special class of Boolean functions for which it is very easy and fast to determine their functional value on a specified input vector. Their ...
Ondrej Cepek, David Kronus, Petr Kucera
PQCRYPTO
2010
142views Cryptology» more  PQCRYPTO 2010»
13 years 12 months ago
Growth of the Ideal Generated by a Quadratic Boolean Function
We give exact formulas for the growth of the ideal Aλ for λ a quadratic element of the algebra of Boolean functions over the Galois field GF(2). That is, we calculate dim Akλ w...
Jintai Ding, Timothy J. Hodges, Victoria Kruglov
COCO
2009
Springer
96views Algorithms» more  COCO 2009»
13 years 12 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
CORR
2008
Springer
142views Education» more  CORR 2008»
13 years 8 months ago
Declarative Combinatorics: Boolean Functions, Circuit Synthesis and BDDs in Haskell
We describe Haskell implementations of interesting combinatorial generation algorithms with focus on boolean functions and logic circuit representations. First, a complete exact c...
Paul Tarau
TCS
2008
13 years 7 months ago
On a quasi-ordering on Boolean functions
It was proved few years ago that classes of Boolean functions definable by means of functional equations [9], or equivalently, by means of relational constraints [16], coincide wit...
Miguel Couceiro, Maurice Pouzet