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AML
2011
204views Mathematics» more  AML 2011»
13 years 3 months ago
A note on propositional proof complexity of some Ramsey-type statements
Any valid Ramsey statement n −→ (k)2 2 can be encoded into a DNF formula RAM(n, k) of size O(nk) and with terms of size k 2 . Let rk be the minimal n for which the statement h...
Jan Krajícek
FSTTCS
2010
Springer
13 years 6 months ago
On extracting computations from propositional proofs (a survey)
This paper describes a project that aims at showing that propositional proofs of certain tautologies in weak proof system give upper bounds on the computational complexity of func...
Pavel Pudlák
AAAI
2008
13 years 11 months ago
Clause Learning Can Effectively P-Simulate General Propositional Resolution
Currently, the most effective complete SAT solvers are based on the DPLL algorithm augmented by clause learning. These solvers can handle many real-world problems from application...
Philipp Hertel, Fahiem Bacchus, Toniann Pitassi, A...
FOCS
1999
IEEE
14 years 25 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
SIAMCOMP
2000
86views more  SIAMCOMP 2000»
13 years 8 months ago
On the Relative Complexity of Resolution Refinements and Cutting Planes Proof Systems
An exponential lower bound for the size of tree-like cutting planes refutations of a certain family of conjunctive normal form (CNF) formulas with polynomial size resolution refuta...
Maria Luisa Bonet, Juan Luis Esteban, Nicola Gales...