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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
2010
13 years 10 months ago
A Restriction of Extended Resolution for Clause Learning SAT Solvers
Modern complete SAT solvers almost uniformly implement variations of the clause learning framework introduced by Grasp and Chaff. The success of these solvers has been theoretical...
Gilles Audemard, George Katsirelos, Laurent Simon
STOC
2006
ACM
121views Algorithms» more  STOC 2006»
14 years 8 months ago
Narrow proofs may be spacious: separating space and width in resolution
The width of a resolution proof is the maximal number of literals in any clause of the proof. The space of a proof is the maximal number of clauses kept in memory simultaneously if...
Jakob Nordström
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 10 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets
CP
2004
Springer
14 years 1 months ago
Constraint Propagation as a Proof System
Abstract. Refutation proofs can be viewed as a special case of constraint propagation, which is a fundamental technique in solving constraint-satisfaction problems. The generalizat...
Albert Atserias, Phokion G. Kolaitis, Moshe Y. Var...