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» On the Width of Semi-Algebraic Proofs and Algorithms
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CSL
2010
Springer
13 years 6 months ago
New Algorithm for Weak Monadic Second-Order Logic on Inductive Structures
We present a new algorithm for model-checking weak monadic second-order logic on inductive structures, a class of structures of bounded clique width. Our algorithm directly manipul...
Tobias Ganzow, Lukasz Kaiser
WG
2005
Springer
13 years 11 months ago
Hypertree Decompositions: Structure, Algorithms, and Applications
We review the concepts of hypertree decomposition and hypertree width from a graph theoretical perspective and report on a number of recent results related to these concepts. We al...
Georg Gottlob, Martin Grohe, Nysret Musliu, Marko ...
STOC
2012
ACM
196views Algorithms» more  STOC 2012»
11 years 8 months ago
Time-space tradeoffs in resolution: superpolynomial lower bounds for superlinear space
We give the first time-space tradeoff lower bounds for Resolution proofs that apply to superlinear space. In particular, we show that there are formulas of size N that have Reso...
Paul Beame, Christopher Beck, Russell Impagliazzo
CASC
2009
Springer
157views Mathematics» more  CASC 2009»
14 years 11 days ago
On the Complexity of Reliable Root Approximation
This work addresses the problem of computing a certified ǫ-approximation of all real roots of a square-free integer polynomial. We proof an upper bound for its bit complexity, b...
Michael Kerber
STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 3 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi