{"id":"https://openalex.org/W2399370290","doi":"https://doi.org/10.3233/sat190072","title":"Horn Upper Bounds and Renaming1","display_name":"Horn Upper Bounds and Renaming1","publication_year":2009,"publication_date":"2009-09-01","ids":{"openalex":"https://openalex.org/W2399370290","doi":"https://doi.org/10.3233/sat190072","mag":"2399370290"},"language":"en","primary_location":{"id":"doi:10.3233/sat190072","is_oa":true,"landing_page_url":"https://doi.org/10.3233/sat190072","pdf_url":"https://content.iospress.com:443/download/journal-on-satisfiability-boolean-modeling-and-computation/sat190072?id=journal-on-satisfiability-boolean-modeling-and-computation%2Fsat190072","source":{"id":"https://openalex.org/S92264924","display_name":"Journal on Satisfiability Boolean Modeling and Computation","issn_l":"1574-0617","issn":["1574-0617","1875-5011"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal on Satisfiability, Boolean Modeling and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://content.iospress.com:443/download/journal-on-satisfiability-boolean-modeling-and-computation/sat190072?id=journal-on-satisfiability-boolean-modeling-and-computation%2Fsat190072","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004542269","display_name":"Marina Langlois","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Marina Langlois","raw_affiliation_strings":["University of Illinois at Chicago, Chicago, IL 60607, USA. E-mails:\u00a0mirodo1@uic.edu,\u00a0sloan@uic.edu,\u00a0gyt@uic.edu"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, Chicago, IL 60607, USA. E-mails:\u00a0mirodo1@uic.edu,\u00a0sloan@uic.edu,\u00a0gyt@uic.edu","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078127997","display_name":"Robert H. Sloan","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robert H. Sloan","raw_affiliation_strings":["University of Illinois at Chicago, Chicago, IL 60607, USA. E-mails:\u00a0mirodo1@uic.edu,\u00a0sloan@uic.edu,\u00a0gyt@uic.edu"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, Chicago, IL 60607, USA. E-mails:\u00a0mirodo1@uic.edu,\u00a0sloan@uic.edu,\u00a0gyt@uic.edu","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109457644","display_name":"Gy\u00f6rgy Tur\u00e1n","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gy\u00f6rgy Tur\u00e1n","raw_affiliation_strings":["University of Illinois at Chicago, Chicago, IL 60607, USA. E-mails:\u00a0mirodo1@uic.edu,\u00a0sloan@uic.edu,\u00a0gyt@uic.edu"],"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, Chicago, IL 60607, USA. E-mails:\u00a0mirodo1@uic.edu,\u00a0sloan@uic.edu,\u00a0gyt@uic.edu","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109457644"],"corresponding_institution_ids":["https://openalex.org/I39422238"],"apc_list":null,"apc_paid":null,"fwci":0.9035,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82890746,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"7","issue":"1","first_page":"1","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10136","display_name":"Statistical Methods and Inference","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/french-horn","display_name":"French horn","score":0.583325982093811},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3907630145549774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34552526473999023},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18142986297607422},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.09164947271347046}],"concepts":[{"id":"https://openalex.org/C152076505","wikidata":"https://www.wikidata.org/wiki/Q1126540","display_name":"French horn","level":2,"score":0.583325982093811},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3907630145549774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34552526473999023},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18142986297607422},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.09164947271347046}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/sat190072","is_oa":true,"landing_page_url":"https://doi.org/10.3233/sat190072","pdf_url":"https://content.iospress.com:443/download/journal-on-satisfiability-boolean-modeling-and-computation/sat190072?id=journal-on-satisfiability-boolean-modeling-and-computation%2Fsat190072","source":{"id":"https://openalex.org/S92264924","display_name":"Journal on Satisfiability Boolean Modeling and Computation","issn_l":"1574-0617","issn":["1574-0617","1875-5011"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal on Satisfiability, Boolean Modeling and Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3233/sat190072","is_oa":true,"landing_page_url":"https://doi.org/10.3233/sat190072","pdf_url":"https://content.iospress.com:443/download/journal-on-satisfiability-boolean-modeling-and-computation/sat190072?id=journal-on-satisfiability-boolean-modeling-and-computation%2Fsat190072","source":{"id":"https://openalex.org/S92264924","display_name":"Journal on Satisfiability Boolean Modeling and Computation","issn_l":"1574-0617","issn":["1574-0617","1875-5011"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal on Satisfiability, Boolean Modeling and Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7078210065","display_name":"Complexity Aspects of  Knowledge Representation and Learning","funder_award_id":"0431059","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"},{"id":"https://openalex.org/F4320329149","display_name":"Szegedi Tudom\u00e1nyegyetem","ror":"https://ror.org/01pnej532"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2399370290.pdf","grobid_xml":"https://content.openalex.org/works/W2399370290.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W83435933","https://openalex.org/W162552705","https://openalex.org/W1494533567","https://openalex.org/W1520252399","https://openalex.org/W1557131514","https://openalex.org/W1589170163","https://openalex.org/W1964821516","https://openalex.org/W1978253773","https://openalex.org/W1981549588","https://openalex.org/W1983342871","https://openalex.org/W2038897673","https://openalex.org/W2056365656","https://openalex.org/W2084392902","https://openalex.org/W2087588854","https://openalex.org/W2092050435","https://openalex.org/W2115885909","https://openalex.org/W2159892674","https://openalex.org/W3099451540","https://openalex.org/W3111890340","https://openalex.org/W3142570770"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"proposed":[0,49],"an":[1,60,79],"approach":[2,15],"to":[3],"compute":[4],"a":[5,18],"Horn":[6,23,65],"CNF":[7,10,45],"approximation":[8,56,66],"of":[9,39,82],"formulas.":[11],"We":[12,58],"extend":[13],"this":[14],"and":[16,55,68],"propose":[17],"new":[19],"algorithm":[20,50],"for":[21,36,43],"the":[22,37,48,64,73,85],"least":[24],"upper":[25],"bound":[26],"that":[27,47],"involves":[28],"renaming":[29],"variables.":[30],"Although":[31],"we":[32,71],"provide":[33],"negative":[34],"results":[35,42],"quality":[38],"approximation,":[40],"experimental":[41],"random":[44],"demonstrate":[46],"improves":[51],"both":[52],"computational":[53],"efficiency":[54],"quality.":[57],"observe":[59],"interesting":[61],"behavior":[62],"in":[63,78],"sizes":[67],"errors":[69],"which":[70],"call":[72],"\"Horn":[74],"bump\":":[75],"Maxima":[76],"occur":[77],"intermediate":[80],"range":[81],"densities":[83],"below":[84],"satisfiability":[86],"threshold.":[87]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
