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AML
2011
204views Mathematics» more  AML 2011»
15 years 26 days 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
15 years 3 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
15 years 8 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
15 years 10 months 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»
15 years 5 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...