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» Parameterized Complexity Classes under Logical Reductions
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MFCS
2009
Springer
13 years 11 months ago
Parameterized Complexity Classes under Logical Reductions
Abstract. The parameterized complexity classes of the W -hierarchy are usually defined as the problems reducible to certain natural complete problems by means of fixed-parameter ...
Anuj Dawar, Yuguo He
CIE
2009
Springer
13 years 11 months ago
Complexity of Existential Positive First-Order Logic
Let Γ be a (not necessarily finite) structure with a finite relational signature. We prove that deciding whether a given existential positive sentence holds in Γ is in LOGSPACE...
Manuel Bodirsky, Miki Hermann, Florian Richoux
ECCC
2007
90views more  ECCC 2007»
13 years 4 months ago
Parameterized Proof Complexity: a Complexity Gap for Parameterized Tree-like Resolution
We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixed-parameter tractable. We consider proofs that witness that a given pro...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider
COCO
2003
Springer
114views Algorithms» more  COCO 2003»
13 years 10 months ago
Bounded Nondeterminism and Alternation in Parameterized Complexity Theory
We give machine characterisations and logical descriptions of a number of parameterized complexity classes. The focus of our attention is the class W[P], which we characterise as ...
Yijia Chen, Jörg Flum, Martin Grohe
LATA
2012
Springer
12 years 12 days ago
On the Parameterized Complexity of Default Logic and Autoepistemic Logic
We investigate the application of Courcelle’s Theorem and the logspace version of Elberfeld et al. in the context of the implication problem for propositional sets of formulae, t...
Arne Meier, Johannes Schmidt, Michael Thomas, Heri...