{"id":"https://openalex.org/W226333365","doi":"https://doi.org/10.1142/s0129054116500234","title":"State Complexity of Catenation Combined with a Boolean Operation: A Unified Approach","display_name":"State Complexity of Catenation Combined with a Boolean Operation: A Unified Approach","publication_year":2016,"publication_date":"2016-09-01","ids":{"openalex":"https://openalex.org/W226333365","doi":"https://doi.org/10.1142/s0129054116500234","mag":"226333365"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054116500234","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054116500234","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1505.03474","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006550805","display_name":"Pascal Caron","orcid":"https://orcid.org/0000-0002-9090-768X"},"institutions":[{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pascal Caron","raw_affiliation_strings":["LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France","Equipe Combinatoire et algorithmes","Universit\u00e9 de Rouen Normandie"],"affiliations":[{"raw_affiliation_string":"LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I4210108118"]},{"raw_affiliation_string":"Equipe Combinatoire et algorithmes","institution_ids":[]},{"raw_affiliation_string":"Universit\u00e9 de Rouen Normandie","institution_ids":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050615575","display_name":"Jean-Gabriel Luque","orcid":"https://orcid.org/0000-0002-2621-6016"},"institutions":[{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Gabriel Luque","raw_affiliation_strings":["LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France","Universit\u00e9 de Rouen Normandie","Equipe Combinatoire et algorithmes"],"affiliations":[{"raw_affiliation_string":"LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I4210108118"]},{"raw_affiliation_string":"Universit\u00e9 de Rouen Normandie","institution_ids":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"raw_affiliation_string":"Equipe Combinatoire et algorithmes","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026435500","display_name":"Ludovic Mignot","orcid":"https://orcid.org/0000-0001-8262-9707"},"institutions":[{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ludovic Mignot","raw_affiliation_strings":["LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France","Universit\u00e9 de Rouen Normandie"],"affiliations":[{"raw_affiliation_string":"LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I4210108118"]},{"raw_affiliation_string":"Universit\u00e9 de Rouen Normandie","institution_ids":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067195329","display_name":"Bruno Patrou","orcid":null},"institutions":[{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I4210108118","display_name":"Laboratoire d'Informatique, du Traitement de l'Information et des Syst\u00e8mes","ror":"https://ror.org/01f1vfy95","country_code":"FR","type":"facility","lineage":["https://openalex.org/I141576021","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329","https://openalex.org/I88814501"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bruno Patrou","raw_affiliation_strings":["LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France","Universit\u00e9 de Rouen Normandie","Equipe Combinatoire et algorithmes"],"affiliations":[{"raw_affiliation_string":"LITIS, Universit\u00e9 de Rouen, 76801 Saint-\u00c9tienne du Rouvray Cedex, France","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I4210108118"]},{"raw_affiliation_string":"Universit\u00e9 de Rouen Normandie","institution_ids":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"raw_affiliation_string":"Equipe Combinatoire et algorithmes","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5006550805"],"corresponding_institution_ids":["https://openalex.org/I4210105918","https://openalex.org/I4210108118","https://openalex.org/I62396329"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00105578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"27","issue":"06","first_page":"675","last_page":"703"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.09950000047683716,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.09950000047683716,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.08590000122785568,"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/T10142","display_name":"Formal Methods in Verification","score":0.07599999755620956,"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/catenation","display_name":"Catenation","score":0.9674019813537598},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.6003974676132202},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.563930332660675},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4202679991722107},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3397940397262573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3145921528339386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2976822555065155},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.12207621335983276}],"concepts":[{"id":"https://openalex.org/C76787000","wikidata":"https://www.wikidata.org/wiki/Q334951","display_name":"Catenation","level":3,"score":0.9674019813537598},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.6003974676132202},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.563930332660675},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4202679991722107},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3397940397262573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3145921528339386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2976822555065155},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.12207621335983276},{"id":"https://openalex.org/C552990157","wikidata":"https://www.wikidata.org/wiki/Q7430","display_name":"DNA","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1142/s0129054116500234","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054116500234","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"},{"id":"pmh:oai:arXiv.org:1505.03474","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.03474","pdf_url":"https://arxiv.org/pdf/1505.03474","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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:HAL:hal-02088118v1","is_oa":false,"landing_page_url":"https://normandie-univ.hal.science/hal-02088118","pdf_url":null,"source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Foundations of Computer Science, 2016, 27 (06), pp.675-703. ⟨10.1142/S0129054116500234⟩","raw_type":"Journal articles"},{"id":"pmh:oai:HAL:hal-02335276v1","is_oa":false,"landing_page_url":"https://normandie-univ.hal.science/hal-02335276","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computing Research Repository, 2015, abs/1505.03474","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1505.03474","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1505.03474","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1505.03474","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.03474","pdf_url":"https://arxiv.org/pdf/1505.03474","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W226333365.pdf","grobid_xml":"https://content.openalex.org/works/W226333365.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W219446931","https://openalex.org/W1546124752","https://openalex.org/W1711039925","https://openalex.org/W1784335425","https://openalex.org/W2002089154","https://openalex.org/W2006629323","https://openalex.org/W2008342226","https://openalex.org/W2050154914","https://openalex.org/W2054220885","https://openalex.org/W2054801208","https://openalex.org/W2066620717","https://openalex.org/W2108842989","https://openalex.org/W2156429182","https://openalex.org/W2169267790","https://openalex.org/W2340541605","https://openalex.org/W2786516640","https://openalex.org/W2800778781","https://openalex.org/W4403206994"],"related_works":["https://openalex.org/W2029618677","https://openalex.org/W2089455626","https://openalex.org/W303980170","https://openalex.org/W2351491280","https://openalex.org/W2386767533","https://openalex.org/W2371447506","https://openalex.org/W2333698505","https://openalex.org/W2889453578","https://openalex.org/W3141679561","https://openalex.org/W1801993675"],"abstract_inverted_index":{"We":[0,57],"study":[1,42],"the":[2,41,66],"state":[3,44,67],"complexity":[4,45,68],"of":[5,43,69],"catenation":[6,50,54,73],"combined":[7],"with":[8,40,51,55],"symmetric":[9],"difference.":[10],"First,":[11],"an":[12],"upper":[13],"bound":[14,23],"is":[15,24],"computed":[16],"using":[17],"some":[18],"combinatoric":[19],"tools.":[20],"Then,":[21],"this":[22,38],"shown":[25],"to":[26,64],"be":[27],"tight":[28],"by":[29],"giving":[30],"a":[31,59,75],"witness":[32],"for":[33,46],"it.":[34],"Moreover,":[35],"we":[36],"relate":[37],"work":[39],"two":[47],"other":[48],"combinations:":[49],"union":[52],"and":[53,74],"intersection.":[56],"extract":[58],"unified":[60],"approach":[61],"which":[62],"allows":[63],"obtain":[65],"any":[70],"combination":[71],"involving":[72],"binary":[76],"boolean":[77],"operation.":[78]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}