The Fractal Dimension of SAT Formulas

Modern SAT solvers have experienced a remarkable progress on solving industrial instances. Most of the techniques have been developed after an intensive experimental process. It is believed that these techniques exploit the underlying structure of industrial instances. However, there is not a precis...

Descripción completa

Detalles Bibliográficos
Autores: Ansótegui Gil, Carlos José, Bonet, Maria Luisa, Giráldez-Cru, Jesús, Levy, Jordi
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2014
País:España
Institución:Universitat de Lleida (UdL)
Repositorio:Repositori Obert UdL
OAI Identifier:oai:repositori.udl.cat:10459.1/65063
Acceso en línea:https://doi.org/10.1007/978-3-319-08587-6_8
http://hdl.handle.net/10459.1/65063
Access Level:acceso abierto
Palabra clave:SAT instances
Fractal dimension
Self-similar
SAT-solving
id ES_558a970522d5b3bb021cf3ad4e98d39f
oai_identifier_str oai:repositori.udl.cat:10459.1/65063
network_acronym_str ES
network_name_str España
repository_id_str
spelling The Fractal Dimension of SAT FormulasAnsótegui Gil, Carlos JoséBonet, Maria LuisaGiráldez-Cru, JesúsLevy, JordiSAT instancesFractal dimensionSelf-similarSAT-solvingModern SAT solvers have experienced a remarkable progress on solving industrial instances. Most of the techniques have been developed after an intensive experimental process. It is believed that these techniques exploit the underlying structure of industrial instances. However, there is not a precise definition of the notion of structure. Recently, there have been some attempts to analyze this structure in terms of complex networks, with the long-term aim of explaining the success of SAT solving techniques, and possibly improving them. We study the fractal dimension of SAT instances with the aim of complementing the model that describes the structure of industrial instances. We show that many industrial families of formulas are self-similar, with a small fractal dimension. We also show how this dimension is affected by the addition of learnt clauses during the execution of SAT solvers.This research has been partially founded by the MINECO research project TASSAT (TIN2010-20967).Springer Verlag2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttps://doi.org/10.1007/978-3-319-08587-6_8http://hdl.handle.net/10459.1/65063reponame:Repositori Obert UdL instname:Universitat de Lleida (UdL)Inglésinfo:eu-repo/grantAgreement/MICINN//TIN2010-20967-C04-01info:eu-repo/grantAgreement/MICINN//TIN2010-20967-C04-03info:eu-repo/grantAgreement/MICINN//TIN2010-20967-C04-04Versió postprint del document publicat a https://doi.org/10.1007/978-3-319-08587-6_8Lecture Notes in Computer Science, 2014, vol. 8562, p. 107-121(c) Springer Verlag, 2014info:eu-repo/semantics/openAccessoai:repositori.udl.cat:10459.1/650632026-06-24T12:42:17Z
dc.title.none.fl_str_mv The Fractal Dimension of SAT Formulas
title The Fractal Dimension of SAT Formulas
spellingShingle The Fractal Dimension of SAT Formulas
Ansótegui Gil, Carlos José
SAT instances
Fractal dimension
Self-similar
SAT-solving
title_short The Fractal Dimension of SAT Formulas
title_full The Fractal Dimension of SAT Formulas
title_fullStr The Fractal Dimension of SAT Formulas
title_full_unstemmed The Fractal Dimension of SAT Formulas
title_sort The Fractal Dimension of SAT Formulas
dc.creator.none.fl_str_mv Ansótegui Gil, Carlos José
Bonet, Maria Luisa
Giráldez-Cru, Jesús
Levy, Jordi
author Ansótegui Gil, Carlos José
author_facet Ansótegui Gil, Carlos José
Bonet, Maria Luisa
Giráldez-Cru, Jesús
Levy, Jordi
author_role author
author2 Bonet, Maria Luisa
Giráldez-Cru, Jesús
Levy, Jordi
author2_role author
author
author
dc.subject.none.fl_str_mv SAT instances
Fractal dimension
Self-similar
SAT-solving
topic SAT instances
Fractal dimension
Self-similar
SAT-solving
description Modern SAT solvers have experienced a remarkable progress on solving industrial instances. Most of the techniques have been developed after an intensive experimental process. It is believed that these techniques exploit the underlying structure of industrial instances. However, there is not a precise definition of the notion of structure. Recently, there have been some attempts to analyze this structure in terms of complex networks, with the long-term aim of explaining the success of SAT solving techniques, and possibly improving them. We study the fractal dimension of SAT instances with the aim of complementing the model that describes the structure of industrial instances. We show that many industrial families of formulas are self-similar, with a small fractal dimension. We also show how this dimension is affected by the addition of learnt clauses during the execution of SAT solvers.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://doi.org/10.1007/978-3-319-08587-6_8
http://hdl.handle.net/10459.1/65063
url https://doi.org/10.1007/978-3-319-08587-6_8
http://hdl.handle.net/10459.1/65063
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MICINN//TIN2010-20967-C04-01
info:eu-repo/grantAgreement/MICINN//TIN2010-20967-C04-03
info:eu-repo/grantAgreement/MICINN//TIN2010-20967-C04-04
Versió postprint del document publicat a https://doi.org/10.1007/978-3-319-08587-6_8
Lecture Notes in Computer Science, 2014, vol. 8562, p. 107-121
dc.rights.none.fl_str_mv (c) Springer Verlag, 2014
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Springer Verlag, 2014
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv reponame:Repositori Obert UdL
instname:Universitat de Lleida (UdL)
instname_str Universitat de Lleida (UdL)
reponame_str Repositori Obert UdL
collection Repositori Obert UdL
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869408295990591488
score 15,811543

Similares en LA Referencia