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» On the Learnability of Boolean Formulae
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AAAI
2006
13 years 9 months ago
Local-Search Techniques for Boolean Combinations of Pseudo-Boolean Constraints
Some search problems are most directly specified by boolean combinations of pseudo-boolean constraints. We study a logic PL(PB) whose formulas are of this form, and design local-s...
Lengning Liu, Miroslaw Truszczynski
PQCRYPTO
2010
142views Cryptology» more  PQCRYPTO 2010»
13 years 11 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
CC
2010
Springer
282views System Software» more  CC 2010»
13 years 6 months ago
Lower Bounds on the Randomized Communication Complexity of Read-Once Functions
Abstract. We prove lower bounds on the randomized two-party communication complexity of functions that arise from read-once boolean formulae. A read-once boolean formula is a formu...
Nikos Leonardos, Michael Saks
COCO
1991
Springer
112views Algorithms» more  COCO 1991»
13 years 11 months ago
Randomized vs.Deterministic Decision Tree Complexity for Read-Once Boolean Functions
We consider the deterministic and the randomized decision tree complexities for Boolean functions, denoted DC(f) and RC(f), respectively. A major open problem is how small RC(f) ca...
Rafi Heiman, Avi Wigderson
DLOG
2008
13 years 10 months ago
Checking DL-Lite Modularity with QBF Solvers
We show how the reasoning tasks of checking various versions of conservativity for the description logic DL-Litebool can be reduced to satisfiability of quantified Boolean formulas...
Roman Kontchakov, Vladislav Ryzhikov, Frank Wolter...