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» On Learning Boolean Functions
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COCO
2009
Springer
96views Algorithms» more  COCO 2009»
13 years 11 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 7 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
DAC
1993
ACM
13 years 11 months ago
Spectral Transforms for Large Boolean Functions with Applications to Technology Mapping
The Walsh transform has numerous applications in computer-aided design, but the usefulness of these techniques in practice has been limited by the size of the boolean functions th...
Edmund M. Clarke, Kenneth L. McMillan, Xudong Zhao...
DM
2006
73views more  DM 2006»
13 years 7 months ago
Composition of Post classes and normal forms of Boolean functions
The class composition C K of Boolean clones, being the set of composite functions f(g1, . . . , gn) with f C, g1, . . . , gn K, is investigated. This composition C K is either...
Miguel Couceiro, Stephan Foldes, Erkko Lehtonen