An optimization approach for the satisfiability problem

We describe a new approach for solving the satisfiability problem by geometric programming. We focus on the theoretical background and give details of the algorithmic procedure. The algorithm is provably efficient as geometric programming is in essence a polynomial problem. The correctness of the al...

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Main Author: S. Noureddine
Format: Article
Language:English
Published: Emerald Publishing 2015-01-01
Series:Applied Computing and Informatics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2210832711000494
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spelling doaj-252dc081024746399cab58a783fd01122020-11-25T02:48:59ZengEmerald PublishingApplied Computing and Informatics2210-83272015-01-01111475910.1016/j.aci.2011.11.002An optimization approach for the satisfiability problemS. NoureddineWe describe a new approach for solving the satisfiability problem by geometric programming. We focus on the theoretical background and give details of the algorithmic procedure. The algorithm is provably efficient as geometric programming is in essence a polynomial problem. The correctness of the algorithm is discussed. The version of the satisfiability problem we study is exact satisfiability with only positive variables, which is known to be NP-complete.http://www.sciencedirect.com/science/article/pii/S2210832711000494SatisfiabilityNP-complete problemOptimizationGeometric programming
collection DOAJ
language English
format Article
sources DOAJ
author S. Noureddine
spellingShingle S. Noureddine
An optimization approach for the satisfiability problem
Applied Computing and Informatics
Satisfiability
NP-complete problem
Optimization
Geometric programming
author_facet S. Noureddine
author_sort S. Noureddine
title An optimization approach for the satisfiability problem
title_short An optimization approach for the satisfiability problem
title_full An optimization approach for the satisfiability problem
title_fullStr An optimization approach for the satisfiability problem
title_full_unstemmed An optimization approach for the satisfiability problem
title_sort optimization approach for the satisfiability problem
publisher Emerald Publishing
series Applied Computing and Informatics
issn 2210-8327
publishDate 2015-01-01
description We describe a new approach for solving the satisfiability problem by geometric programming. We focus on the theoretical background and give details of the algorithmic procedure. The algorithm is provably efficient as geometric programming is in essence a polynomial problem. The correctness of the algorithm is discussed. The version of the satisfiability problem we study is exact satisfiability with only positive variables, which is known to be NP-complete.
topic Satisfiability
NP-complete problem
Optimization
Geometric programming
url http://www.sciencedirect.com/science/article/pii/S2210832711000494
work_keys_str_mv AT snoureddine anoptimizationapproachforthesatisfiabilityproblem
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