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SIAMCOMP
2008
84views more  SIAMCOMP 2008»
14 years 11 days 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
ECCC
2007
90views more  ECCC 2007»
14 years 13 days 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
102views Algorithms» more  COCO 2003»
14 years 5 months ago
Memoization and DPLL: Formula Caching Proof Systems
A fruitful connection between algorithm design and proof complexity is the formalization of the ¤¦¥¨§©§ approach to satisfiability testing in terms of tree-like resolution...
Paul Beame, Russell Impagliazzo, Toniann Pitassi, ...
FOCS
2007
IEEE
14 years 6 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