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» On a quasi-ordering on Boolean functions
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CPAIOR
2007
Springer
14 years 13 days ago
On Boolean Functions Encodable as a Single Linear Pseudo-Boolean Constraint
A linear pseudo-Boolean constraint (LPB) is an expression of the form a1 · 1 + . . . + am · m ≥ d, where each i is a literal (it assumes the value 1 or 0 depending on whether a...
Jan-Georg Smaus
CCDS
2010
127views more  CCDS 2010»
13 years 6 months ago
Asymptotic enumeration of correlation-immune boolean functions
A boolean function of n boolean variables is correlation-immune of order k if the function value is uncorrelated with the values of any k of the arguments. Such functions are of co...
E. Rodney Canfield, Zhicheng Gao, Catherine S. Gre...
MFCS
2004
Springer
13 years 11 months ago
Approximating Boolean Functions by OBDDs
In learning theory and genetic programming, OBDDs are used to represent approximations of Boolean functions. This motivates the investigation of the OBDD complexity of approximatin...
Andre Gronemeier
TOC
2010
142views Management» more  TOC 2010»
13 years 28 days ago
Decision Trees and Influence: an Inductive Proof of the OSSS Inequality
: We give a simple proof of the OSSS inequality (O'Donnell, Saks, Schramm, Servedio, FOCS 2005). The inequality states that for any decision tree T calculating a Boolean funct...
Homin K. Lee
CRYPTO
2012
Springer
327views Cryptology» more  CRYPTO 2012»
11 years 8 months ago
Functional Encryption for Regular Languages
We provide a functional encryption system that supports functionality for regular languages. In our system a secret key is associated with a Deterministic Finite Automata (DFA) M....
Brent Waters