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» The Complexity of Symmetry-Breaking Formulas
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AML
2008
91views more  AML 2008»
13 years 10 months ago
On meta complexity of propositional formulas and propositional proofs
A new approach to defining complexity of propositional formulas and proofs is suggested. Instead of measuring the size of these syntactical structures in the propositional languag...
Pavel Naumov
COMPGEOM
2005
ACM
13 years 11 months ago
Inclusion-exclusion formulas from independent complexes
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Dominique Attali, Herbert Edelsbrunner
CPC
1998
91views more  CPC 1998»
13 years 9 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
COCO
2009
Springer
115views Algorithms» more  COCO 2009»
14 years 1 months ago
On the Communication Complexity of Read-Once AC^0 Formulae
Abstract--We study the 2-party randomized communication complexity of read-once AC0 formulae. For balanced AND-OR trees T with n inputs and depth d, we show that the communication ...
T. S. Jayram, Swastik Kopparty, Prasad Raghavendra
JSAT
2006
126views more  JSAT 2006»
13 years 9 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...