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» On the Polynomial Transparency of Resolution
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IJCAI
1993
13 years 6 months ago
On the Polynomial Transparency of Resolution
In this paper a framework is developed for measuring the complexities of deductions in an ab­ stract and computationally perspicuous man­ ner. As a notion of central importance ...
Reinhold Letz
DAM
2008
67views more  DAM 2008»
13 years 4 months ago
Extended resolution simulates binary decision diagrams
We prove that binary decision diagrams [1] can be polynomially simulated by the extended resolution rule of [2]. More precisely, for any unsatisfiable formula , there exists an ex...
Nicolas Peltier
MST
2010
105views more  MST 2010»
13 years 3 months ago
On the Automatizability of Polynomial Calculus
Abstract We prove that Polynomial Calculus and Polynomial Calculus with Resolution are not automatizable, unless W[P]-hard problems are fixed parameter tractable by one-side error...
Nicola Galesi, Massimo Lauria
SAT
2007
Springer
129views Hardware» more  SAT 2007»
13 years 10 months ago
Minimum 2CNF Resolution Refutations in Polynomial Time
We present an algorithm for finding a smallest Resolution refutation of any 2CNF in polynomial time.
Joshua Buresh-Oppenheim, David G. Mitchell
ERSHOV
2001
Springer
13 years 9 months ago
Resolution and Binary Decision Diagrams Cannot Simulate Each Other Polynomially
There are many different ways of proving formulas in proposition logic. Many of these can easily be characterized as forms of resolution (e.g. [12] and [9]). Others use so-called...
Jan Friso Groote, Hans Zantema