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STOC
2002
ACM
101views Algorithms» more  STOC 2002»
14 years 5 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...
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...
CORR
2008
Springer
108views Education» more  CORR 2008»
13 years 4 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
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...
COCO
2003
Springer
102views Algorithms» more  COCO 2003»
13 years 10 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, ...