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» Resolution Is Not Automatizable Unless W[P] Is Tractable
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SIAMCOMP
2008
84views more  SIAMCOMP 2008»
14 years 11 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
99
Voted
MST
2010
105views more  MST 2010»
14 years 10 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»
15 years 1 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...