{"id":"https://openalex.org/W3128596487","doi":"https://doi.org/10.3390/a14030068","title":"Determinization and Minimization of Automata for Nested Words Revisited","display_name":"Determinization and Minimization of Automata for Nested Words Revisited","publication_year":2021,"publication_date":"2021-02-24","ids":{"openalex":"https://openalex.org/W3128596487","doi":"https://doi.org/10.3390/a14030068","mag":"3128596487"},"language":"en","primary_location":{"id":"doi:10.3390/a14030068","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a14030068","pdf_url":"https://www.mdpi.com/1999-4893/14/3/68/pdf?version=1616748573","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/14/3/68/pdf?version=1616748573","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045969205","display_name":"Joachim Niehren","orcid":"https://orcid.org/0000-0002-2611-8950"},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210101253","display_name":"Dynamic Imaging (United Kingdom)","ror":"https://ror.org/016xf4y16","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210101253"]}],"countries":["FR","GB"],"is_corresponding":true,"raw_author_name":"Joachim Niehren","raw_affiliation_strings":["Inria, Universit\u00e9 de Lille, 59000 Lille, France","Linking Dynamic Data"],"affiliations":[{"raw_affiliation_string":"Inria, Universit\u00e9 de Lille, 59000 Lille, France","institution_ids":["https://openalex.org/I2279609970"]},{"raw_affiliation_string":"Linking Dynamic Data","institution_ids":["https://openalex.org/I4210101253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089908290","display_name":"Momar Sakho","orcid":"https://orcid.org/0000-0001-6802-5480"},"institutions":[{"id":"https://openalex.org/I2279609970","display_name":"Universit\u00e9 de Lille","ror":"https://ror.org/02kzqn938","country_code":"FR","type":"education","lineage":["https://openalex.org/I2279609970"]},{"id":"https://openalex.org/I4210101253","display_name":"Dynamic Imaging (United Kingdom)","ror":"https://ror.org/016xf4y16","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210101253"]}],"countries":["FR","GB"],"is_corresponding":false,"raw_author_name":"Momar Sakho","raw_affiliation_strings":["Inria, Universit\u00e9 de Lille, 59000 Lille, France","Linking Dynamic Data"],"affiliations":[{"raw_affiliation_string":"Inria, Universit\u00e9 de Lille, 59000 Lille, France","institution_ids":["https://openalex.org/I2279609970"]},{"raw_affiliation_string":"Linking Dynamic Data","institution_ids":["https://openalex.org/I4210101253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045969205"],"corresponding_institution_ids":["https://openalex.org/I2279609970","https://openalex.org/I4210101253"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.7542,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74334488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"14","issue":"3","first_page":"68","last_page":"68"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9990000128746033,"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":0.9990000128746033,"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/T10181","display_name":"Natural Language Processing Techniques","score":0.9959999918937683,"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/T12072","display_name":"Machine Learning and Algorithms","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.4994828701019287},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47482118010520935},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.42334696650505066},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38355857133865356},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3634968400001526},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3614501953125},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3292383849620819},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2721019983291626}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4994828701019287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47482118010520935},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.42334696650505066},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38355857133865356},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3634968400001526},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3614501953125},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3292383849620819},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2721019983291626},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/a14030068","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a14030068","pdf_url":"https://www.mdpi.com/1999-4893/14/3/68/pdf?version=1616748573","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-03134596v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-03134596","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":"Algorithms, 2021, &#x27E8;10.3390/a14030068&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:c9bb603ee76546a5b2059378c91baf9a","is_oa":true,"landing_page_url":"https://doaj.org/article/c9bb603ee76546a5b2059378c91baf9a","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 14, Iss 3, p 68 (2021)","raw_type":"article"},{"id":"pmh:oai:lilloa.univ-lille.fr:20.500.12210/57083","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.12210/57083","pdf_url":null,"source":{"id":"https://openalex.org/S4306402203","display_name":"LillOA (Universit\u00e9 de Lille (University Of Lille))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210123514","host_organization_name":"Centre d'Etudes en Civilisations, Langues et Litt\u00e9ratures Etrang\u00e8res","host_organization_lineage":["https://openalex.org/I4210123514"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:mdpi.com:/1999-4893/14/3/68/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a14030068","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Algorithms; Volume 14; Issue 3; Pages: 68","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a14030068","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a14030068","pdf_url":"https://www.mdpi.com/1999-4893/14/3/68/pdf?version=1616748573","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.49000000953674316}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3128596487.pdf","grobid_xml":"https://content.openalex.org/works/W3128596487.grobid-xml"},"referenced_works_count":44,"referenced_works":["https://openalex.org/W180382289","https://openalex.org/W182003119","https://openalex.org/W1505425738","https://openalex.org/W1540080689","https://openalex.org/W1552999515","https://openalex.org/W1826894354","https://openalex.org/W1904607992","https://openalex.org/W1966814918","https://openalex.org/W1995755344","https://openalex.org/W2003723473","https://openalex.org/W2032759707","https://openalex.org/W2038925304","https://openalex.org/W2049273188","https://openalex.org/W2057841333","https://openalex.org/W2069709605","https://openalex.org/W2090802466","https://openalex.org/W2099540492","https://openalex.org/W2107872354","https://openalex.org/W2108769896","https://openalex.org/W2115309483","https://openalex.org/W2123458705","https://openalex.org/W2127315934","https://openalex.org/W2129828874","https://openalex.org/W2137370934","https://openalex.org/W2142746286","https://openalex.org/W2151033407","https://openalex.org/W2153794097","https://openalex.org/W2164770381","https://openalex.org/W2908267391","https://openalex.org/W2963141441","https://openalex.org/W3015696132","https://openalex.org/W3021915497","https://openalex.org/W3095860260","https://openalex.org/W4214703603","https://openalex.org/W4251785442","https://openalex.org/W6607260867","https://openalex.org/W6630011285","https://openalex.org/W6632584238","https://openalex.org/W6633021658","https://openalex.org/W6633276414","https://openalex.org/W6635485671","https://openalex.org/W6680587329","https://openalex.org/W6758273122","https://openalex.org/W6959304593"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W2028665553","https://openalex.org/W2086519370","https://openalex.org/W972276598","https://openalex.org/W2087343574","https://openalex.org/W4246352526","https://openalex.org/W2121910908"],"abstract_inverted_index":{"We":[0,65,99,338],"consider":[1],"the":[2,18,24,46,63,71,112,115,143,155,198,203,210,214,234,253,269,277,315,318,340,344,348,352],"problem":[3],"of":[4,35,62,73,120,136,279,289,317],"determinizing":[5,194],"and":[6,94,148,159,174,218,244,325,342],"minimizing":[7],"automata":[8,31,74,84,93,110,123,349],"for":[9,58,75,111,133,193,207,257,261,313,347,351],"nested":[10,19,29,76],"words":[11],"in":[12,171,183,302],"practice.":[13],"For":[14,78],"this":[15],"we":[16,80,153,187,304,321],"compile":[17],"regular":[20],"expressions":[21],"(NREs)":[22],"from":[23,114,213],"usual":[25,204,254],"XPath":[26,116],"benchmark":[27],"to":[28,40,70,103,140,146,168,180,292],"word":[30,97],"(NWAs).":[32],"The":[33,118,287],"determinization":[34,72,147,205,255],"these":[36],"NWAs,":[37,195,263],"however,":[38],"fails":[39],"produce":[41],"reasonably":[42,107],"small":[43,60,108],"automata.":[44,98],"In":[45,138,247],"best":[47],"case,":[48],"huge":[49,199],"deterministic":[50,109,121,163,169,280,290],"NWAs":[51,158,170,176,211,258,283],"are":[52],"produced":[53],"after":[54],"few":[55],"hours,":[56],"even":[57],"relatively":[59],"NREs":[61,113],"benchmark.":[64,117,354],"propose":[66,322],"a":[67,129,134,239],"different":[68,300],"approach":[69,145],"words.":[77],"this,":[79],"introduce":[81],"stepwise":[82],"hedge":[83],"(SHAs)":[85],"that":[86,252,276,303,332],"generalize":[87],"naturally":[88],"on":[89,95,329],"both":[90],"(stepwise)":[91],"tree":[92],"finite":[96],"then":[100],"show":[101],"how":[102],"determinize":[104],"SHAs,":[105,320],"yielding":[106],"size":[119,200],"SHAs":[122,160,164,182,190,215,243,291],"can":[124,165,177,188,229,333],"be":[125,166,178,230,334],"reduced":[126],"further":[127,311],"by":[128,233,336],"novel":[130,295],"minimization":[131,149,296],"algorithm":[132,206,256,297],"subclass":[135,288],"SHAs.":[137],"order":[139],"understand":[141],"why":[142],"new":[144],"works":[150],"so":[151],"nicely,":[152],"investigate":[154],"relationship":[156,241],"between":[157,242],"further.":[161],"Clearly,":[162],"compiled":[167,179],"linear":[172],"time,":[173],"conversely":[175],"nondeterministic":[181],"polynomial":[184],"time.":[185],"Therefore,":[186],"use":[189],"as":[191],"intermediates":[192],"while":[196,264],"avoiding":[197],"increase":[201],"with":[202],"NWAs.":[208,246],"Notably,":[209],"obtained":[212],"perform":[216],"bottom-up":[217],"left-to-right":[219],"computations":[220],"only,":[221],"but":[222],"no":[223],"top-down":[224],"computations.":[225],"This":[226],"NWA":[227],"behavior":[228],"distinguished":[231],"syntactically":[232],"(weak)":[235],"single-entry":[236,245,262,270,282],"property,":[237],"suggesting":[238],"close":[240],"particular,":[248],"it":[249,265,273],"turns":[250],"out":[251],"behaves":[259],"well":[260],"quickly":[266],"explodes":[267],"without":[268],"property.":[271],"Furthermore,":[272],"is":[274,299],"known":[275],"class":[278],"multi-module":[281],"enjoys":[284],"unique":[285],"minimization.":[286],"which":[293],"our":[294],"applies":[298],"though,":[301],"do":[305],"not":[306],"impose":[307],"multiple":[308],"modules.":[309],"As":[310],"optimizations":[312,341],"reducing":[314],"sizes":[316],"constructed":[319,350],"schema-based":[323],"cleaning":[324],"symbolic":[326],"representations":[327],"based":[328],"apply-else":[330],"rules":[331],"maintained":[335],"determinization.":[337],"implemented":[339],"report":[343],"experimental":[345],"results":[346],"XPathMark":[353]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2021-02-15T00:00:00"}
