{"id":"https://openalex.org/W7163925778","doi":"https://doi.org/10.4230/lipics.cpm.2026.11","title":"Matching Regular-Typed Pattern Languages: Quadratic-Time Algorithms","display_name":"Matching Regular-Typed Pattern Languages: Quadratic-Time Algorithms","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7163925778","doi":"https://doi.org/10.4230/lipics.cpm.2026.11"},"language":"en","primary_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:25937","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2026.11","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.11/LIPIcs.CPM.2026.11.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.11/LIPIcs.CPM.2026.11.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015202877","display_name":"Yuya Uezato","orcid":"https://orcid.org/0009-0005-8834-010X"},"institutions":[{"id":"https://openalex.org/I184597095","display_name":"National Institute of Informatics","ror":"https://ror.org/04ksd4g47","country_code":"JP","type":"facility","lineage":["https://openalex.org/I1319490839","https://openalex.org/I184597095","https://openalex.org/I4210158934"]},{"id":"https://openalex.org/I4210089607","display_name":"CyberAgent (Japan)","ror":"https://ror.org/0060jg679","country_code":"JP","type":"company","lineage":["https://openalex.org/I4210089607"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Uezato, Yuya","raw_affiliation_strings":["CyberAgent, Inc., Tokyo, Japan","National Institute of Informatics, Tokyo, Japan"],"raw_orcid":"https://orcid.org/0009-0005-8834-010X","affiliations":[{"raw_affiliation_string":"CyberAgent, Inc., Tokyo, Japan","institution_ids":["https://openalex.org/I4210089607"]},{"raw_affiliation_string":"National Institute of Informatics, Tokyo, Japan","institution_ids":["https://openalex.org/I184597095"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015202877"],"corresponding_institution_ids":["https://openalex.org/I184597095","https://openalex.org/I4210089607"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.94660881,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.4009999930858612,"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":0.4009999930858612,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.17090000212192535,"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":0.13930000364780426,"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/variable","display_name":"Variable (mathematics)","score":0.6065000295639038},{"id":"https://openalex.org/keywords/pattern-matching","display_name":"Pattern matching","score":0.5382999777793884},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5098999738693237},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4812000095844269},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4629000127315521},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.45089998841285706},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.43689998984336853}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6261000037193298},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6065000295639038},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5479999780654907},{"id":"https://openalex.org/C68859911","wikidata":"https://www.wikidata.org/wiki/Q1503724","display_name":"Pattern matching","level":2,"score":0.5382999777793884},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5098999738693237},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4812000095844269},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4629000127315521},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.45089998841285706},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43689998984336853},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4140999913215637},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.40230000019073486},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3930000066757202},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.38339999318122864},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3061000108718872},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30329999327659607},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.3019999861717224},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.2973000109195709},{"id":"https://openalex.org/C97542219","wikidata":"https://www.wikidata.org/wiki/Q497863","display_name":"SIMPLE algorithm","level":2,"score":0.2800000011920929},{"id":"https://openalex.org/C20528804","wikidata":"https://www.wikidata.org/wiki/Q997433","display_name":"Dependent type","level":3,"score":0.26899999380111694},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.25850000977516174},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2565000057220459}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:drops-oai.dagstuhl.de:25937","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2026.11","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.11/LIPIcs.CPM.2026.11.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"doi:10.4230/lipics.cpm.2026.11","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.cpm.2026.11","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:25937","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2026.11","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.11/LIPIcs.CPM.2026.11.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7163925778.pdf","grobid_xml":"https://content.openalex.org/works/W7163925778.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Pattern":[0],"languages":[1,7,31],"(PAT)":[2],"are":[3,60],"a":[4,18,36,64,80],"class":[5],"of":[6,46,84,120,140,164],"generated":[8],"by":[9,34,63,68],"expressions":[10],"called":[11],"patterns":[12,78],"that":[13,42],"may":[14],"contain":[15],"variables.":[16],"In":[17,49],"pattern,":[19],"each":[20,40],"variable":[21,41,83],"can":[22],"be":[23],"instantiated":[24],"with":[25,39,79,114],"an":[26,69],"arbitrary":[27],"string.":[28],"Typed":[29],"pattern":[30],"extend":[32,126],"PAT":[33,55,139],"associating":[35],"type":[37,122],"(constraint)":[38],"restricts":[43],"the":[44,73,85,110,118,121,134,148,152],"domain":[45],"allowed":[47],"substitutions.":[48],"this":[50],"paper,":[51],"we":[52],"study":[53],"regular-typed":[54],"(PATwRT),":[56],"where":[57],"all":[58],"types":[59],"represented":[61],"either":[62],"regular":[65],"expression":[66],"or":[67],"\u03b5-NFA.":[70],"We":[71,96],"consider":[72],"PATwRT":[74,154],"matching":[75],"problem":[76],"for":[77,137,151],"single":[81],"repeated":[82],"form":[86],"P":[87],"=":[88,156],"\u03b1\u2081":[89,159],"\u03b2":[90,92,94,160,162],"\u03b1\u2082":[91,161],"\u22ef":[93],"\u03b1_K.":[95],"present":[97],"simple":[98],"algorithms":[99],"whose":[100],"running":[101],"time":[102],"is":[103],"linear":[104],"in":[105,109,130],"K":[106,155],"and":[107,146,166],"quadratic":[108],"input":[111],"length":[112],"N,":[113],"polynomial":[115],"dependence":[116],"on":[117],"sizes":[119],"representations.":[123],"Our":[124],"results":[125],"previous":[127],"quadratic-time":[128,135,149],"work":[129],"two":[131],"directions:":[132],"(1)":[133],"algorithm":[136,150],"untyped":[138],"Fernau":[141],"et":[142],"al.":[143],"(STACS":[144],"2015),":[145],"(2)":[147],"restricted":[153],"3,":[157],"i.e.,":[158],"\u03b1\u2083":[163],"Nogami":[165],"Terauchi":[167],"(MFCS":[168],"2025).":[169]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-06-09T00:00:00"}