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» Resolution lower bounds for the weak pigeonhole principle
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APAL
2008
84views more  APAL 2008»
13 years 7 months ago
Resolution over linear equations and multilinear proofs
We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead ...
Ran Raz, Iddo Tzameret
FOCS
2002
IEEE
14 years 18 days ago
Bounded-Depth Frege Lower Bounds for Weaker Pigeonhole Principles
We prove a quasi-polynomial lower bound on the size of bounded-depth Frege proofs of the pigeonhole principle PHPm n where m ´1 · 1 polylog nµn. This lower bound qualitatively ...
Josh Buresh-Oppenheim, Paul Beame, Toniann Pitassi...
COCO
2001
Springer
94views Algorithms» more  COCO 2001»
14 years 4 days ago
Tree Resolution Proofs of the Weak Pigeon-Hole Principle
Stefan S. Dantchev, Søren Riis
CSL
1997
Springer
13 years 11 months ago
Resolution and the Weak Pigeonhole Principle
Samuel R. Buss, Toniann Pitassi
STOC
1992
ACM
89views Algorithms» more  STOC 1992»
13 years 11 months ago
Exponential Lower Bounds for the Pigeonhole Principle
Paul Beame, Russell Impagliazzo, Jan Krajíc...