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» Unsatisfiable Linear CNF Formulas Are Large and Complex
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STACS
2010
Springer
14 years 9 days ago
Unsatisfiable Linear CNF Formulas Are Large and Complex
We call a CNF formula linear if any two clauses have at most one variable in common. We show that there exist unsatisfiable linear k-CNF formulas with at most 4k2 4k clauses, and ...
Dominik Scheder
STOC
1998
ACM
115views Algorithms» more  STOC 1998»
13 years 9 months ago
On the Complexity of Unsatisfiability Proofs for Random k-CNF Formulas
Paul Beame, Richard M. Karp, Toniann Pitassi, Mich...
STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 2 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
CADE
2002
Springer
14 years 5 months ago
Testing Satisfiability of CNF Formulas by Computing a Stable Set of Points
We show that a conjunctive normal form (CNF) formula F is unsatisfiable iff there is a set of points of the Boolean space that is stable with respect to F. So testing the satisfiab...
Eugene Goldberg
CAV
2006
Springer
121views Hardware» more  CAV 2006»
13 years 9 months ago
Deriving Small Unsatisfiable Cores with Dominators
Abstract. The problem of finding a small unsatisfiable core of an unsatisfiable CNF formula is addressed. The proposed algorithm, Trimmer, iterates over each internal node d in the...
Roman Gershman, Maya Koifman, Ofer Strichman