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» On the Automatizability of Resolution and Related Propositio...
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CC
2010
Springer
112views System Software» more  CC 2010»
15 years 13 days 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
FOCS
2002
IEEE
15 years 11 months ago
A Switching Lemma for Small Restrictions and Lower Bounds for k - DNF Resolution
d abstract) Nathan Segerlind∗ Sam Buss† Russell Impagliazzo‡ We prove a new switching lemma that works for restrictions that set only a small fraction of the variables and i...
Nathan Segerlind, Samuel R. Buss, Russell Impaglia...
SAT
2007
Springer
118views Hardware» more  SAT 2007»
16 years 1 days 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
COCO
2010
Springer
129views Algorithms» more  COCO 2010»
15 years 9 months ago
On the Relative Strength of Pebbling and Resolution
The last decade has seen a revival of interest in pebble games in the context of proof complexity. Pebbling has proven to be a useful tool for studying resolution-based proof syst...
Jakob Nordström
ICFP
2012
ACM
13 years 8 months ago
Propositions as sessions
Continuing a line of work by Abramsky (1994), by Bellin and Scott (1994), and by Caires and Pfenning (2010), among others, this paper presents CP, a calculus in which propositions...
Philip Wadler