{"id":"https://openalex.org/W2082135413","doi":"https://doi.org/10.1145/2071368.2071372","title":"Succinctness of the Complement and Intersection of Regular Expressions","display_name":"Succinctness of the Complement and Intersection of Regular Expressions","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2082135413","doi":"https://doi.org/10.1145/2071368.2071372","mag":"2082135413"},"language":"en","primary_location":{"id":"doi:10.1145/2071368.2071372","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2071368.2071372","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0802.2869","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089107114","display_name":"Wouter Gelade","orcid":null},"institutions":[{"id":"https://openalex.org/I878454856","display_name":"Hasselt University","ror":"https://ror.org/04nbhqj75","country_code":"BE","type":"education","lineage":["https://openalex.org/I878454856"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Wouter Gelade","raw_affiliation_strings":["Hasselt University and Transnational University of Limburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hasselt University and Transnational University of Limburg","institution_ids":["https://openalex.org/I878454856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022264843","display_name":"Frank Neven","orcid":"https://orcid.org/0000-0002-7143-1903"},"institutions":[{"id":"https://openalex.org/I878454856","display_name":"Hasselt University","ror":"https://ror.org/04nbhqj75","country_code":"BE","type":"education","lineage":["https://openalex.org/I878454856"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Frank Neven","raw_affiliation_strings":["Hasselt University and Transnational University of Limburg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hasselt University and Transnational University of Limburg","institution_ids":["https://openalex.org/I878454856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I878454856"],"apc_list":null,"apc_paid":null,"fwci":5.8327,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.96631175,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"13","issue":"1","first_page":"1","last_page":"19"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9997000098228455,"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":0.9997000098228455,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9955000281333923,"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":0.9955000281333923,"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/mathematics","display_name":"Mathematics","score":0.78066086769104},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.7265089750289917},{"id":"https://openalex.org/keywords/succinctness","display_name":"Succinctness","score":0.7110609412193298},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5905119180679321},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5763745307922363},{"id":"https://openalex.org/keywords/regular-expression","display_name":"Regular expression","score":0.5648205876350403},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.5465691685676575},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4726623296737671},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4709126651287079},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.4550001919269562},{"id":"https://openalex.org/keywords/intersection-graph","display_name":"Intersection graph","score":0.44913142919540405},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4459644854068756},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.19170233607292175},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.14912199974060059},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12810778617858887},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.10568884015083313}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.78066086769104},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.7265089750289917},{"id":"https://openalex.org/C2776493592","wikidata":"https://www.wikidata.org/wiki/Q5158717","display_name":"Succinctness","level":2,"score":0.7110609412193298},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5905119180679321},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5763745307922363},{"id":"https://openalex.org/C121329065","wikidata":"https://www.wikidata.org/wiki/Q185612","display_name":"Regular expression","level":2,"score":0.5648205876350403},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.5465691685676575},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4726623296737671},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4709126651287079},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4550001919269562},{"id":"https://openalex.org/C54540088","wikidata":"https://www.wikidata.org/wiki/Q3498041","display_name":"Intersection graph","level":4,"score":0.44913142919540405},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4459644854068756},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.19170233607292175},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.14912199974060059},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12810778617858887},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.10568884015083313},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"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":2,"locations":[{"id":"doi:10.1145/2071368.2071372","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2071368.2071372","pdf_url":null,"source":{"id":"https://openalex.org/S117153874","display_name":"ACM Transactions on Computational Logic","issn_l":"1529-3785","issn":["1529-3785","1557-945X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computational Logic","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:0802.2869","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0802.2869","pdf_url":"https://arxiv.org/pdf/0802.2869","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0802.2869","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0802.2869","pdf_url":"https://arxiv.org/pdf/0802.2869","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"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G582362311","display_name":null,"funder_award_id":"FP7-ICT-233599","funder_id":"https://openalex.org/F4320334960","funder_display_name":"Seventh Framework Programme"}],"funders":[{"id":"https://openalex.org/F4320334960","display_name":"Seventh Framework Programme","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W1479975624","https://openalex.org/W1483164577","https://openalex.org/W1484748046","https://openalex.org/W1485606779","https://openalex.org/W1508317128","https://openalex.org/W1512254831","https://openalex.org/W1533814670","https://openalex.org/W1537864410","https://openalex.org/W1539025858","https://openalex.org/W1579407214","https://openalex.org/W1584587517","https://openalex.org/W1595778895","https://openalex.org/W1655990431","https://openalex.org/W1683914248","https://openalex.org/W1774255828","https://openalex.org/W1842051783","https://openalex.org/W1965014786","https://openalex.org/W1969832527","https://openalex.org/W1987660690","https://openalex.org/W1989200519","https://openalex.org/W1998084650","https://openalex.org/W2023629560","https://openalex.org/W2026265488","https://openalex.org/W2031848583","https://openalex.org/W2039529128","https://openalex.org/W2039984653","https://openalex.org/W2052869864","https://openalex.org/W2057841333","https://openalex.org/W2063985934","https://openalex.org/W2066064214","https://openalex.org/W2069436890","https://openalex.org/W2077450865","https://openalex.org/W2092398161","https://openalex.org/W2099540492","https://openalex.org/W2104291383","https://openalex.org/W2105748890","https://openalex.org/W2109486375","https://openalex.org/W2111040077","https://openalex.org/W2112175063","https://openalex.org/W2123229843","https://openalex.org/W2129414328","https://openalex.org/W2134781086","https://openalex.org/W2136238707","https://openalex.org/W2163542730","https://openalex.org/W2167473451","https://openalex.org/W2169131377","https://openalex.org/W2914098457","https://openalex.org/W2950144551","https://openalex.org/W3105484551","https://openalex.org/W4205241946","https://openalex.org/W6758617378"],"related_works":["https://openalex.org/W4297686518","https://openalex.org/W1572416198","https://openalex.org/W1931716395","https://openalex.org/W2172112898","https://openalex.org/W1987660690","https://openalex.org/W2964091527","https://openalex.org/W2067443406","https://openalex.org/W2603910788","https://openalex.org/W2105843429","https://openalex.org/W2131264963"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,5,23,45,73,83,86,93,136,147,151,160,168],"succinctness":[3],"of":[4,9,25,47,54,121,170],"complement":[6,24,152],"and":[7,50,59,79,113],"intersection":[8,46,163],"regular":[10,20,28,42,55,129,138,172],"expressions.":[11],"In":[12],"particular,":[13],"we":[14,107,174],"show":[15],"that":[16,85,97,116],"when":[17,39],"constructing":[18,40],"a":[19,26,30,41,48,105,109,119,132,176],"expression":[21,43,88],"defining":[22,44],"given":[27,137],"expression,":[29],"double":[31,60,101],"exponential":[32,58,61,78,99,102,178],"size":[33,62],"increase":[34],"cannot":[35,65],"be":[36,66,90,154],"avoided.":[37,67],"Similarly,":[38],"fixed":[49,133],"an":[51,57],"arbitrary":[52],"number":[53],"expressions,":[56,130,173],"increase,":[63],"respectively,":[64],"All":[68],"mentioned":[69],"lower":[70,179],"bounds":[71,161],"improve":[72],"existing":[74],"ones":[75],"by":[76,111,146],"one":[77],"are":[80,124,140],"tight":[81,177],"in":[82,92,156],"sense":[84],"target":[87],"can":[89,153],"constructed":[91],"corresponding":[94],"time":[95,158],"class,":[96],"is,":[98],"or":[100],"time.":[103],"As":[104],"by-product,":[106],"generalize":[108],"theorem":[110],"Ehrenfeucht":[112],"Zeiger":[114],"stating":[115],"there":[117],"is":[118],"class":[120],"DFAs":[122],"which":[123],"exponentially":[125],"more":[126],"succinct":[127],"than":[128],"to":[131,165],"alphabet.":[134],"When":[135],"expressions":[139],"one-unambiguous,":[141],"as":[142],"for":[143,181],"instance":[144],"required":[145],"XML":[148],"Schema":[149],"specification,":[150],"computed":[155],"polynomial":[157],"whereas":[159],"concerning":[162],"continue":[164],"hold.":[166],"For":[167],"subclass":[169],"single-occurrence":[171],"prove":[175],"bound":[180],"intersection.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}
