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» On the Complexity of Hardness Amplification
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IJCAI
2003
13 years 9 months ago
Reasoning about soft constraints and conditional preferences: complexity results and approximation techniques
Many real life optimization problems contain both hard and soft constraints, as well as qualitative conditional preferences. However, there is no single formalism to specify all t...
Carmel Domshlak, Francesca Rossi, Kristen Brent Ve...
COCO
2001
Springer
142views Algorithms» more  COCO 2001»
14 years 6 days ago
On the Complexity of Approximating the VC Dimension
We study the complexity of approximating the VC dimension of a collection of sets, when the sets are encoded succinctly by a small circuit. We show that this problem is • Σp 3-...
Elchanan Mossel, Christopher Umans
APPROX
2006
Springer
105views Algorithms» more  APPROX 2006»
13 years 11 months ago
Space Complexity vs. Query Complexity
Abstract. Combinatorial property testing deals with the following relaxation of decision problems: Given a fixed property and an input x, one wants to decide whether x satisfies th...
Oded Lachish, Ilan Newman, Asaf Shapira
MFCS
2005
Springer
14 years 1 months ago
The Complexity of Model Checking Higher Order Fixpoint Logic
This paper analyses the computational complexity of the model checking problem for Higher Order Fixpoint Logic – the modal µ-calculus enriched with a typed λ-calculus. It is ha...
Martin Lange, Rafal Somla
COCOA
2007
Springer
14 years 1 months ago
On the Complexity of Some Colorful Problems Parameterized by Treewidth
Abstract. We study the complexity of several coloring problems on graphs, parameterized by the treewidth t of the graph: (1) The list chromatic number χl(G) of a graph G is defin...
Michael R. Fellows, Fedor V. Fomin, Daniel Lokshta...