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ECCC
2010
106views more  ECCC 2010»
13 years 7 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
STOC
1999
ACM
101views Algorithms» more  STOC 1999»
14 years 26 days ago
Short Proofs are Narrow - Resolution Made Simple
The width of a Resolution proof is defined to be the maximal number of literals in any clause of the proof. In this paper, we relate proof width to proof length (ϭsize), in both g...
Eli Ben-Sasson, Avi Wigderson
ECCC
2010
72views more  ECCC 2010»
13 years 7 months ago
Paris-Harrington tautologies
We initiate the study of the proof complexity of propositional encoding of (weak cases of) concrete independence results. In particular we study the proof complexity of Paris-Harr...
Lorenzo Carlucci, Nicola Galesi, Massimo Lauria
FOCS
1999
IEEE
14 years 26 days ago
A Study of Proof Search Algorithms for Resolution and Polynomial Calculus
This paper is concerned with the complexity of proofs and of searching for proofs in two propositional proof systems: Resolution and Polynomial Calculus (PC). For the former syste...
Maria Luisa Bonet, Nicola Galesi
ICALP
2001
Springer
14 years 1 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...