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ICALP
2001
Springer
14 years 3 months ago
Lower Bounds for the Weak Pigeonhole Principle Beyond Resolution
We work with an extension of Resolution, called Res(2), that allows clauses with conjunctions of two literals. In this system there are rules to introduce and eliminate such conju...
Albert Atserias, Maria Luisa Bonet, Juan Luis Este...
IANDC
2002
61views more  IANDC 2002»
13 years 11 months ago
Lower Bounds for the Weak Pigeonhole Principle and Random Formulas beyond Resolution
Albert Atserias, Maria Luisa Bonet, Juan Luis Este...
STOC
2002
ACM
80views Algorithms» more  STOC 2002»
14 years 11 months ago
Resolution lower bounds for the weak pigeonhole principle
We prove that any Resolution proof for the weak pigeon hole principle, with n holes and any number of pigeons, is of length (2n ), (for some global constant > 0).
Ran Raz
ECCC
2010
106views more  ECCC 2010»
13 years 9 months ago
Hardness of Parameterized Resolution
Parameterized Resolution and, moreover, a general framework for parameterized proof complexity was introduced by Dantchev, Martin, and Szeider [16] (FOCS’07). In that paper, Dan...
Olaf Beyersdorff, Nicola Galesi, Massimo Lauria