{"id":"https://openalex.org/W2894780622","doi":"https://doi.org/10.1142/s0129054118500168","title":"The Monotone Satisfiability Problem with Bounded Variable Appearances","display_name":"The Monotone Satisfiability Problem with Bounded Variable Appearances","publication_year":2018,"publication_date":"2018-09-01","ids":{"openalex":"https://openalex.org/W2894780622","doi":"https://doi.org/10.1142/s0129054118500168","mag":"2894780622"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054118500168","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054118500168","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007835513","display_name":"Andreas Darmann","orcid":"https://orcid.org/0000-0002-0477-4578"},"institutions":[{"id":"https://openalex.org/I15766117","display_name":"University of Graz","ror":"https://ror.org/01faaaf77","country_code":"AT","type":"education","lineage":["https://openalex.org/I15766117"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Andreas Darmann","raw_affiliation_strings":["Institute of Public Economics, University of Graz, Universitaetsstr. 15, 8010 Graz, Austria"],"affiliations":[{"raw_affiliation_string":"Institute of Public Economics, University of Graz, Universitaetsstr. 15, 8010 Graz, Austria","institution_ids":["https://openalex.org/I15766117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039785388","display_name":"Janosch D\u00f6cker","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Janosch D\u00f6cker","raw_affiliation_strings":["Department of Computer Science, University of Tuebingen, Sand 12, 72076 Tuebingen, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Tuebingen, Sand 12, 72076 Tuebingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034565864","display_name":"Britta Dorn","orcid":null},"institutions":[{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Britta Dorn","raw_affiliation_strings":["Department of Computer Science, University of Tuebingen, Sand 12, 72076 Tuebingen, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Tuebingen, Sand 12, 72076 Tuebingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5007835513"],"corresponding_institution_ids":["https://openalex.org/I15766117"],"apc_list":null,"apc_paid":null,"fwci":0.9779,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.82183368,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"29","issue":"06","first_page":"979","last_page":"993"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9991999864578247,"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":0.9991999864578247,"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/T10142","display_name":"Formal Methods in Verification","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11567","display_name":"semigroups and automata theory","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.8430112600326538},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7748687863349915},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7202343344688416},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.7185775637626648},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6487871408462524},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6417886018753052},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6320624351501465},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.573116660118103},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5629552006721497},{"id":"https://openalex.org/keywords/true-quantified-boolean-formula","display_name":"True quantified Boolean formula","score":0.5170467495918274}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.8430112600326538},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7748687863349915},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7202343344688416},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.7185775637626648},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6487871408462524},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6417886018753052},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6320624351501465},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.573116660118103},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5629552006721497},{"id":"https://openalex.org/C200415742","wikidata":"https://www.wikidata.org/wiki/Q1350285","display_name":"True quantified Boolean formula","level":2,"score":0.5170467495918274},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054118500168","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054118500168","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W235821689","https://openalex.org/W2003979824","https://openalex.org/W2011039300","https://openalex.org/W2017603160","https://openalex.org/W2066577300","https://openalex.org/W2085486788","https://openalex.org/W2115754974","https://openalex.org/W2117205241","https://openalex.org/W2121601978","https://openalex.org/W2152986618","https://openalex.org/W4232896595"],"related_works":["https://openalex.org/W2110262323","https://openalex.org/W1608133301","https://openalex.org/W21453999","https://openalex.org/W2611212837","https://openalex.org/W2894780622","https://openalex.org/W1573666268","https://openalex.org/W2144859778","https://openalex.org/W2067983896","https://openalex.org/W2127594621","https://openalex.org/W2173621488"],"abstract_inverted_index":{"The":[0,118],"prominent":[1],"Boolean":[2],"formula":[3],"satisfiability":[4],"problem":[5],"SAT":[6],"is":[7,63,69,95],"known":[8],"to":[9,65,143],"be":[10,66],"[Formula:":[11,70,96],"see":[12,71,97],"text]-complete":[13,72,98],"even":[14,73,99],"for":[15,39,147],"very":[16],"restricted":[17],"variants":[18,41,149],"such":[19],"as":[20],"3-SAT,":[21,23,26],"Monotone":[22,50,56,93,152],"or":[24,27],"Planar":[25,49,151],"instances":[28],"with":[29,42,141],"bounded":[30,43,144],"variable":[31,44,86,110,145],"appearance.":[32],"We":[33,46],"settle":[34],"the":[35,53,60,116],"computational":[36],"complexity":[37],"status":[38],"two":[40,148],"appearance:":[45],"show":[47],"that":[48,92],"Sat":[51,57,94],"\u2014":[52,68],"variant":[54],"of":[55,78,104,128,150],"in":[58,115,124],"which":[59],"incidence":[61],"graph":[62],"required":[64],"planar":[67],"if":[74,100],"each":[75,85,101,109],"clause":[76,102],"consists":[77,103],"at":[79],"most":[80],"three":[81,89,105],"distinct":[82,106],"literals":[83,107],"and":[84,91,108],"appears":[87,111],"exactly":[88,112],"times,":[90],"four":[113],"times":[114],"formula.":[117],"latter":[119],"confirms":[120],"a":[121],"conjecture":[122],"stated":[123],"scribe":[125],"notes":[126],"[7]":[127],"an":[129],"MIT":[130],"lecture":[131],"by":[132],"Eric":[133],"Demaine.":[134],"In":[135],"addition,":[136],"we":[137],"provide":[138],"hardness":[139],"results":[140],"respect":[142],"appearances":[146],"Sat.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-02T08:37:19.008085","created_date":"2025-10-10T00:00:00"}
