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MUST: Minimal Unsatisfiable Subsets Enumeration Tool

In many areas of computer science, we are given an unsatisfiable set of constraints with the goal to provide an insight into the unsatisfiability. One of common approaches is to identify minimal unsatisfiable subsets (MUSes) of the constraint set. The more MUSes are identified, the better insight is...

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Autores principales: Bendík, Jaroslav, Černá, Ivana
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7439739/
http://dx.doi.org/10.1007/978-3-030-45190-5_8
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author Bendík, Jaroslav
Černá, Ivana
author_facet Bendík, Jaroslav
Černá, Ivana
author_sort Bendík, Jaroslav
collection PubMed
description In many areas of computer science, we are given an unsatisfiable set of constraints with the goal to provide an insight into the unsatisfiability. One of common approaches is to identify minimal unsatisfiable subsets (MUSes) of the constraint set. The more MUSes are identified, the better insight is obtained. However, since there can be up to exponentially many MUSes, their complete enumeration might be intractable. Therefore, we focus on algorithms that enumerate MUSes online, i.e. one by one, and thus can find at least some MUSes even in the intractable cases. Since MUSes find applications in different constraint domains and new applications still arise, there have been proposed several domain agnostic algorithms. Such algorithms can be applied in any constraint domain and thus theoretically serve as ready-to-use solutions for all the emerging applications. However, there are almost no domain agnostic tools, i.e. tools that both implement domain agnostic algorithms and can be easily extended to support any constraint domain. In this work, we close this gap by introducing a domain agnostic tool called MUST. Our tool outperforms other existing domain agnostic tools and moreover, it is even competitive to fully domain specific solutions.
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spelling pubmed-74397392020-08-21 MUST: Minimal Unsatisfiable Subsets Enumeration Tool Bendík, Jaroslav Černá, Ivana Tools and Algorithms for the Construction and Analysis of Systems Article In many areas of computer science, we are given an unsatisfiable set of constraints with the goal to provide an insight into the unsatisfiability. One of common approaches is to identify minimal unsatisfiable subsets (MUSes) of the constraint set. The more MUSes are identified, the better insight is obtained. However, since there can be up to exponentially many MUSes, their complete enumeration might be intractable. Therefore, we focus on algorithms that enumerate MUSes online, i.e. one by one, and thus can find at least some MUSes even in the intractable cases. Since MUSes find applications in different constraint domains and new applications still arise, there have been proposed several domain agnostic algorithms. Such algorithms can be applied in any constraint domain and thus theoretically serve as ready-to-use solutions for all the emerging applications. However, there are almost no domain agnostic tools, i.e. tools that both implement domain agnostic algorithms and can be easily extended to support any constraint domain. In this work, we close this gap by introducing a domain agnostic tool called MUST. Our tool outperforms other existing domain agnostic tools and moreover, it is even competitive to fully domain specific solutions. 2020-03-13 /pmc/articles/PMC7439739/ http://dx.doi.org/10.1007/978-3-030-45190-5_8 Text en © The Author(s) 2020 Open Access This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
spellingShingle Article
Bendík, Jaroslav
Černá, Ivana
MUST: Minimal Unsatisfiable Subsets Enumeration Tool
title MUST: Minimal Unsatisfiable Subsets Enumeration Tool
title_full MUST: Minimal Unsatisfiable Subsets Enumeration Tool
title_fullStr MUST: Minimal Unsatisfiable Subsets Enumeration Tool
title_full_unstemmed MUST: Minimal Unsatisfiable Subsets Enumeration Tool
title_short MUST: Minimal Unsatisfiable Subsets Enumeration Tool
title_sort must: minimal unsatisfiable subsets enumeration tool
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7439739/
http://dx.doi.org/10.1007/978-3-030-45190-5_8
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