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» On the Polynomial Transparency of Resolution
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ECCC
2007
82views more  ECCC 2007»
13 years 7 months ago
Extending Polynomial Calculus to $k$-DNF Resolution
Nicola Galesi, Massimo Lauria
JSAT
2010
121views more  JSAT 2010»
13 years 2 months ago
Resolution on Quantified Generalized Clause-sets.
This paper is devoted to investigate resolution for quantified generalized clause-sets (QCLS). The soundness and refutation completeness are proved. Then quantified generalized Ho...
Jiwei Jin, Xishun Zhao
CC
2010
Springer
112views System Software» more  CC 2010»
13 years 2 months ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
CORR
2008
Springer
108views Education» more  CORR 2008»
13 years 7 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
CSL
2002
Springer
13 years 7 months ago
On the Automatizability of Resolution and Related Propositional Proof Systems
A propositional proof system is automatizable if there is an algorithm that, given a tautology, produces a proof in time polynomial in the size of its smallest proof. This notion ...
Albert Atserias, Maria Luisa Bonet