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The fractal dimension of SAT formulas
dc.contributor.author | Ansótegui Gil, Carlos |
dc.contributor.author | Bonet Carbonell, M. Luisa |
dc.contributor.author | Giráldez Crú, Jesús |
dc.contributor.author | Levy Díaz, Jordi |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Ciències de la Computació |
dc.date.accessioned | 2015-05-05T12:45:02Z |
dc.date.created | 2014 |
dc.date.issued | 2014 |
dc.identifier.citation | Ansótegui, C. [et al.]. The fractal dimension of SAT formulas. A: International Joint Conference on Automated Reasoning. "Automated Reasoning: 7th International Joint Conference, IJCAR 2014: Held as Part of the Vienna Summer of Logic, VSL 2014: Vienna, Austria, July 19-22, 2014: proceedings". Viena: Springer, 2014, p. 107-121. |
dc.identifier.isbn | 978-3-319-08586-9 |
dc.identifier.uri | http://hdl.handle.net/2117/27750 |
dc.description.abstract | 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. |
dc.format.extent | 15 p. |
dc.language.iso | eng |
dc.publisher | Springer |
dc.subject | Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica |
dc.subject.lcsh | Fractals |
dc.subject.other | SAT instances |
dc.subject.other | SAT solvers |
dc.subject.other | SAT-solving |
dc.subject.other | Self-similar |
dc.subject.other | Fractal dimension |
dc.title | The fractal dimension of SAT formulas |
dc.type | Conference report |
dc.subject.lemac | Fractals |
dc.contributor.group | Universitat Politècnica de Catalunya. LOGPROG - Lògica i Programació |
dc.identifier.doi | 10.1007/978-3-319-08587-6_8 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://link.springer.com/chapter/10.1007%2F978-3-319-08587-6_8 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 15182338 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Ansótegui, C.; Bonet, M.; Giráldez, J.; Levy, J. |
local.citation.contributor | International Joint Conference on Automated Reasoning |
local.citation.pubplace | Viena |
local.citation.publicationName | Automated Reasoning: 7th International Joint Conference, IJCAR 2014: Held as Part of the Vienna Summer of Logic, VSL 2014: Vienna, Austria, July 19-22, 2014: proceedings |
local.citation.startingPage | 107 |
local.citation.endingPage | 121 |