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MFCS
1997
Springer
13 years 8 months ago
Resolution Proofs, Exponential Bounds, and Kolmogorov Complexity
We prove an exponential lower bound for the length of any resolution proof for the same set of clauses as the one used by Urquhart [13]. Our contribution is a significant simpli...
Uwe Schöning
STOC
2002
ACM
101views Algorithms» more  STOC 2002»
14 years 4 months ago
An exponential separation between regular and general resolution
: This paper gives two distinct proofs of an exponential separation between regular resolution and unrestricted resolution. The previous best known separation between these systems...
Michael Alekhnovich, Jan Johannsen, Toniann Pitass...
SIAMCOMP
2000
86views more  SIAMCOMP 2000»
13 years 4 months ago
On the Relative Complexity of Resolution Refinements and Cutting Planes Proof Systems
An exponential lower bound for the size of tree-like cutting planes refutations of a certain family of conjunctive normal form (CNF) formulas with polynomial size resolution refuta...
Maria Luisa Bonet, Juan Luis Esteban, Nicola Gales...
SAT
2007
Springer
118views Hardware» more  SAT 2007»
13 years 10 months ago
Improved Lower Bounds for Tree-Like Resolution over Linear Inequalities
Abstract. We continue a study initiated by Kraj´ıˇcek of a Resolutionlike proof system working with clauses of linear inequalities, R(CP). For all proof systems of this kind Kra...
Arist Kojevnikov
FOCS
1998
IEEE
13 years 8 months ago
Exponential Separations between Restricted Resolution and Cutting Planes Proof Systems
We prove an exponential lower bound for tree-like Cutting Planes refutations of a set of clauses which has polynomial size resolution refutations. This implies an exponential sepa...
Maria Luisa Bonet, Juan Luis Esteban, Nicola Gales...