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» Complexity and Probability of Some Boolean Formulas
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CPC
1998
91views more  CPC 1998»
13 years 10 months ago
Complexity and Probability of Some Boolean Formulas
For any Boolean functionf letL(f) be its formulasizecomplexityin the basis f^ 1g. For every n and every k n=2, we describe a probabilistic distribution on formulas in the basis f^...
Petr Savický
BIRTHDAY
2004
Springer
14 years 2 months ago
On Models for Quantified Boolean Formulas
A quantified Boolean formula is true, if for any existentially quantified variable there exists a Boolean function depending on the preceding universal variables, such that substi...
Hans Kleine Büning, Xishun Zhao
STOC
2003
ACM
102views Algorithms» more  STOC 2003»
14 years 11 months ago
Some 3CNF properties are hard to test
For a Boolean formula on n variables, the associated property P is the collection of n-bit strings that satisfy . We study the query complexity of tests that distinguish (with hig...
Eli Ben-Sasson, Prahladh Harsha, Sofya Raskhodniko...
JSAT
2006
126views more  JSAT 2006»
13 years 10 months ago
Complexity Results for Quantified Boolean Formulae Based on Complete Propositional Languages
Several propositional fragments have been considered so far as target languages for knowledge compilation and used for improving computational tasks from major AI areas (like infe...
Sylvie Coste-Marquis, Daniel Le Berre, Florian Let...
COCO
1991
Springer
112views Algorithms» more  COCO 1991»
14 years 2 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