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» Resolution Is Not Automatizable Unless W[P] Is Tractable
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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
MST
2010
105views more  MST 2010»
13 years 3 months ago
On the Automatizability of Polynomial Calculus
Abstract We prove that Polynomial Calculus and Polynomial Calculus with Resolution are not automatizable, unless W[P]-hard problems are fixed parameter tractable by one-side error...
Nicola Galesi, Massimo Lauria
COCO
2008
Springer
88views Algorithms» more  COCO 2008»
13 years 6 months ago
Approximation of Natural W[P]-Complete Minimisation Problems Is Hard
We prove that the weighted monotone circuit satisfiability problem has no fixed-parameter tractable approximation algorithm with constant or polylogarithmic approximation ratio un...
Kord Eickmeyer, Martin Grohe, Magdalena Grübe...