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STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 3 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi
CORR
2008
Springer
108views Education» more  CORR 2008»
13 years 5 months ago
Resolution Trees with Lemmas: Resolution Refinements that Characterize DLL Algorithms with Clause Learning
Resolution refinements called w-resolution trees with lemmas (WRTL) and with input lemmas (WRTI) are introduced. Dag-like resolution is equivalent to both WRTL and WRTI when there...
Samuel R. Buss, Jan Hoffmann 0002, Jan Johannsen
CP
2004
Springer
13 years 11 months ago
Constraint Propagation as a Proof System
Abstract. Refutation proofs can be viewed as a special case of constraint propagation, which is a fundamental technique in solving constraint-satisfaction problems. The generalizat...
Albert Atserias, Phokion G. Kolaitis, Moshe Y. Var...
ICALP
2007
Springer
13 years 11 months ago
Complexity of Propositional Proofs Under a Promise
Abstract. We study – within the framework of propositional proof complexity – the problem of certifying unsatisfiability of CNF formulas under the promise that any satisfiabl...
Nachum Dershowitz, Iddo Tzameret
FOCS
2007
IEEE
13 years 12 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