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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
ECCC
2010
106views more  ECCC 2010»
13 years 3 months ago
Hardness of Parameterized Resolution
Parameterized Resolution and, moreover, a general framework for parameterized proof complexity was introduced by Dantchev, Martin, and Szeider [16] (FOCS’07). In that paper, Dan...
Olaf Beyersdorff, Nicola Galesi, Massimo Lauria
FOCS
2007
IEEE
13 years 11 months ago
Parameterized Proof Complexity
We propose a proof-theoretic approach for gaining evidence that certain parameterized problems are not fixedparameter tractable. We consider proofs that witness that a given prop...
Stefan S. Dantchev, Barnaby Martin, Stefan Szeider
SIAMCOMP
2008
84views more  SIAMCOMP 2008»
13 years 4 months ago
Resolution Is Not Automatizable Unless W[P] Is Tractable
We show that neither Resolution nor tree-like Resolution is automatizable unless the class W[P] from the hierarchy of parameterized problems is fixed-parameter tractable by randomi...
Michael Alekhnovich, Alexander A. Razborov