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JCSS
2002
86views more  JCSS 2002»
13 years 11 months ago
A New Proof of the Weak Pigeonhole Principle
The exact complexity of the weak pigeonhole principle is an old and fundamental problem in proof complexity. Using a diagonalization argument, Paris, Wilkieand Woods 16] showed ho...
Alexis Maciel, Toniann Pitassi, Alan R. Woods
APAL
2004
105views more  APAL 2004»
13 years 11 months ago
Dual weak pigeonhole principle, Boolean complexity, and derandomization
We study the extension (introduced as BT in [5]) of the theory S1 2 by instances of the dual (onto) weak pigeonhole principle for p-time functions, dWPHP(PV )x x2 . We propose a n...
Emil Jerábek
ICALP
2001
Springer
14 years 4 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...