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About some UP-based polynomial fragments of SAT.

Authors :
Al-Saedi, Balasim
Fourdrinoy, Olivier
Grégoire, Éric
Mazure, Bertrand
Saïs, Lakhdar
Source :
Annals of Mathematics & Artificial Intelligence; Mar2017, Vol. 79 Issue 1-3, p25-44, 20p
Publication Year :
2017

Abstract

This paper explores several polynomial fragments of SAT that are based on the unit propagation (UP) mechanism. As a first case study, one Tovey's polynomial fragment of SAT is extended through the use of UP. Then, we answer an open question about connections between the so-called UP-Horn class (and other UP-based polynomial variants) and Dalal's polynomial Quad class. Finally, we introduce an extended UP-based pre-processing procedure that allows us to prove that some series of benchmarks from the SAT competitions are polynomial ones. Moreover, our experimentations show that this pre-processing can speed-up the satisfiability check of other instances. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10122443
Volume :
79
Issue :
1-3
Database :
Complementary Index
Journal :
Annals of Mathematics & Artificial Intelligence
Publication Type :
Academic Journal
Accession number :
120740694
Full Text :
https://doi.org/10.1007/s10472-015-9452-z