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CORR
2010
Springer
149views Education» more  CORR 2010»
13 years 11 months ago
Lower Bounds for the Complexity of Monadic Second-Order Logic
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
Stephan Kreutzer, Siamak Tazari
STOC
2004
ACM
177views Algorithms» more  STOC 2004»
14 years 11 months ago
Lower bounds for linear degeneracy testing
Abstract. In the late nineties, Erickson proved a remarkable lower bound on the decision tree complexity of one of the central problems of computational geometry: given n numbers, ...
Nir Ailon, Bernard Chazelle
ICC
2009
IEEE
165views Communications» more  ICC 2009»
14 years 5 months ago
Arbitrarily Tight Upper and Lower Bounds on the Gaussian Q-Function and Related Functions
—We present a new family of tight lower and upper bounds on the Gaussian Q-function Q(x). It is first shown that, for any x, the integrand ϕ(θ; x) of the Craig representation ...
Giuseppe Thadeu Freitas de Abreu
ECCC
2008
107views more  ECCC 2008»
13 years 11 months ago
A Quantum Time-Space Lower Bound for the Counting Hierarchy
We obtain the first nontrivial time-space lower bound for quantum algorithms solving problems related to satisfiability. Our bound applies to MajSAT and MajMajSAT, which are compl...
Dieter van Melkebeek, Thomas Watson
SAT
2007
Springer
118views Hardware» more  SAT 2007»
14 years 5 months ago
Improved Lower Bounds for Tree-Like Resolution over Linear Inequalities
Abstract. We continue a study initiated by Kraj´ıˇcek of a Resolutionlike proof system working with clauses of linear inequalities, R(CP). For all proof systems of this kind Kra...
Arist Kojevnikov