{"id":"https://openalex.org/W2521641792","doi":"https://doi.org/10.2168/lmcs-12(4:1)2016","title":"Extending Unification in $\\mathcal{EL}$ to Disunification: The Case of Dismatching and Local Disunification","display_name":"Extending Unification in $\\mathcal{EL}$ to Disunification: The Case of Dismatching and Local Disunification","publication_year":2017,"publication_date":"2017-04-27","ids":{"openalex":"https://openalex.org/W2521641792","doi":"https://doi.org/10.2168/lmcs-12(4:1)2016","mag":"2521641792"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-12(4:1)2016","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-12(4:1)2016","pdf_url":"https://lmcs.episciences.org/2063/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/2063/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086254817","display_name":"Franz Baader","orcid":"https://orcid.org/0000-0002-4049-221X"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Franz Baader","raw_affiliation_strings":["CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","Theoretical Computer Science, Technische Universitt Dresden, Germany","Theoretical Computer Science, Technische Universit\u00e4t Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Theoretical Computer Science, Technische Universitt Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Theoretical Computer Science, Technische Universit\u00e4t Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072323649","display_name":"Stefan Borgwardt","orcid":"https://orcid.org/0000-0003-0924-8478"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Borgwardt","raw_affiliation_strings":["CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","Theoretical Computer Science, Technische Universitt Dresden, Germany","Theoretical Computer Science, Technische Universit\u00e4t Dresden, Germany"],"raw_orcid":"https://orcid.org/0000-0003-0924-8478","affiliations":[{"raw_affiliation_string":"CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Theoretical Computer Science, Technische Universitt Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Theoretical Computer Science, Technische Universit\u00e4t Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079263331","display_name":"Barbara Morawska","orcid":"https://orcid.org/0000-0003-4724-7206"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Barbara Morawska","raw_affiliation_strings":["CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","Theoretical Computer Science, Technische Universitt Dresden, Germany","Theoretical Computer Science, Technische Universit\u00e4t Dresden, Germany"],"raw_orcid":"https://orcid.org/0000-0003-4724-7206","affiliations":[{"raw_affiliation_string":"CA 94105, USA, or Eisenacher Strasse 2, 10777 Berlin, Germany","institution_ids":[]},{"raw_affiliation_string":"Theoretical Computer Science, Technische Universitt Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Theoretical Computer Science, Technische Universit\u00e4t Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":0.6909,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78243033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"Volume 12, Issue 4","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.9998000264167786,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9998000264167786,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9969000220298767,"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/T10679","display_name":"Service-Oriented Architecture and Web Services","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/decidability","display_name":"Decidability","score":0.9266892671585083},{"id":"https://openalex.org/keywords/unification","display_name":"Unification","score":0.8966896533966064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5483596324920654},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.517827570438385},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5102477073669434},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45495787262916565},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3628263473510742},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06995078921318054}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.9266892671585083},{"id":"https://openalex.org/C96146094","wikidata":"https://www.wikidata.org/wiki/Q609057","display_name":"Unification","level":2,"score":0.8966896533966064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5483596324920654},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.517827570438385},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5102477073669434},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45495787262916565},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3628263473510742},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06995078921318054},{"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":3,"locations":[{"id":"doi:10.2168/lmcs-12(4:1)2016","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-12(4:1)2016","pdf_url":"https://lmcs.episciences.org/2063/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1609.05621","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1609.05621","pdf_url":"https://arxiv.org/pdf/1609.05621","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:569f450079164568a283e5df067770ad","is_oa":true,"landing_page_url":"https://doaj.org/article/569f450079164568a283e5df067770ad","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 12, Issue 4 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-12(4:1)2016","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-12(4:1)2016","pdf_url":"https://lmcs.episciences.org/2063/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6488228673","display_name":null,"funder_award_id":"/14-2","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2521641792.pdf","grobid_xml":"https://content.openalex.org/works/W2521641792.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W80737574","https://openalex.org/W271442919","https://openalex.org/W1536607724","https://openalex.org/W1583295953","https://openalex.org/W1606891084","https://openalex.org/W1672891595","https://openalex.org/W1990334561","https://openalex.org/W1990890881","https://openalex.org/W2021587896","https://openalex.org/W2132317040","https://openalex.org/W2168026495","https://openalex.org/W2170146694","https://openalex.org/W2402571421","https://openalex.org/W2572885380"],"related_works":["https://openalex.org/W2160250760","https://openalex.org/W1583400373","https://openalex.org/W153224469","https://openalex.org/W1424724424","https://openalex.org/W2742582826","https://openalex.org/W2566029784","https://openalex.org/W1981828430","https://openalex.org/W1223318389","https://openalex.org/W1481154196","https://openalex.org/W1971653407"],"abstract_inverted_index":{"Unification":[0],"in":[1,13,25,93],"Description":[2,27],"Logics":[3],"has":[4],"been":[5],"introduced":[6],"as":[7],"a":[8],"means":[9],"to":[10,17,30,38,107],"detect":[11],"redundancies":[12],"ontologies.":[14],"We":[15],"try":[16],"extend":[18],"the":[19,26,45,94],"known":[20],"decidability":[21,43],"results":[22,58],"for":[23,59,116],"unification":[24],"Logic":[28],"$\\mathcal{EL}$":[29],"disunification":[31,80,121],"since":[32],"negative":[33,71],"constraints":[34],"can":[35,104],"be":[36,74,105],"used":[37],"avoid":[39],"unwanted":[40],"unifiers.":[41],"While":[42],"of":[44,47,69,79,120],"solvability":[46,78],"general":[48],"$\\mathcal{EL}$-disunification":[49],"problems":[50],"remains":[51],"an":[52],"open":[53],"problem,":[54],"we":[55,83,99],"obtain":[56],"NP-completeness":[57],"two":[60,113],"interesting":[61],"special":[62],"cases:":[63],"dismatching":[64,103],"problems,":[65,81],"where":[66,82],"one":[67],"side":[68],"each":[70],"constraint":[72],"must":[73],"ground,":[75],"and":[76,110],"local":[77,108,118],"consider":[84],"only":[85],"solutions":[86,119],"that":[87,102],"are":[88],"constructed":[89],"from":[90],"terms":[91],"occurring":[92],"input":[95],"problem.":[96],"More":[97],"precisely,":[98],"first":[100],"show":[101],"reduced":[106],"disunification,":[109],"then":[111],"provide":[112],"complementary":[114],"NP-algorithms":[115],"finding":[117],"problems.":[122]},"counts_by_year":[{"year":2019,"cited_by_count":3}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
