Symmetry in Boolean Satisfiability

This paper reviews recent approaches on how to accelerate Boolean Satisfiability (SAT) search by exploiting symmetries in the problem space. SAT search algorithms traverse an exponentially large search space looking for an assignment that satisfies a set of constraints. The presence of symmetries in...

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Main Author: Fadi A. Aloul
Format: Article
Language:English
Published: MDPI AG 2010-06-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/2/2/1121/
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spelling doaj-7ef157b53f9a4c8f96ab6976ee7bf2002020-11-24T23:46:36ZengMDPI AGSymmetry2073-89942010-06-01221121113410.3390/sym2021121Symmetry in Boolean SatisfiabilityFadi A. AloulThis paper reviews recent approaches on how to accelerate Boolean Satisfiability (SAT) search by exploiting symmetries in the problem space. SAT search algorithms traverse an exponentially large search space looking for an assignment that satisfies a set of constraints. The presence of symmetries in the search space induces equivalence classes on the set of truth assignments. The goal is to use symmetries to avoid traversing all assignments by constraining the search to visit a few representative assignments in each equivalence class. This can lead to a significant reduction in search runtime without affecting the completeness of the search. http://www.mdpi.com/2073-8994/2/2/1121/boolean satisfiabilitysymmetriessearch
collection DOAJ
language English
format Article
sources DOAJ
author Fadi A. Aloul
spellingShingle Fadi A. Aloul
Symmetry in Boolean Satisfiability
Symmetry
boolean satisfiability
symmetries
search
author_facet Fadi A. Aloul
author_sort Fadi A. Aloul
title Symmetry in Boolean Satisfiability
title_short Symmetry in Boolean Satisfiability
title_full Symmetry in Boolean Satisfiability
title_fullStr Symmetry in Boolean Satisfiability
title_full_unstemmed Symmetry in Boolean Satisfiability
title_sort symmetry in boolean satisfiability
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2010-06-01
description This paper reviews recent approaches on how to accelerate Boolean Satisfiability (SAT) search by exploiting symmetries in the problem space. SAT search algorithms traverse an exponentially large search space looking for an assignment that satisfies a set of constraints. The presence of symmetries in the search space induces equivalence classes on the set of truth assignments. The goal is to use symmetries to avoid traversing all assignments by constraining the search to visit a few representative assignments in each equivalence class. This can lead to a significant reduction in search runtime without affecting the completeness of the search.
topic boolean satisfiability
symmetries
search
url http://www.mdpi.com/2073-8994/2/2/1121/
work_keys_str_mv AT fadiaaloul symmetryinbooleansatisfiability
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