{"id":"https://openalex.org/W4226030076","doi":"https://doi.org/10.1142/s0129054122410052","title":"Weakly and Strongly Irreversible Regular Languages","display_name":"Weakly and Strongly Irreversible Regular Languages","publication_year":2022,"publication_date":"2022-04-01","ids":{"openalex":"https://openalex.org/W4226030076","doi":"https://doi.org/10.1142/s0129054122410052"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054122410052","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054122410052","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2434/939648","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040360969","display_name":"Bruno Guillon","orcid":"https://orcid.org/0000-0003-1630-3404"},"institutions":[{"id":"https://openalex.org/I4210099416","display_name":"Laboratoire d'Informatique, de Mod\u00e9lisation et d'Optimisation des Syst\u00e8mes","ror":"https://ror.org/00t3fpp34","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I198244214","https://openalex.org/I198244214","https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993","https://openalex.org/I4210099416","https://openalex.org/I4210123221","https://openalex.org/I4210159245","https://openalex.org/I4387154249"]},{"id":"https://openalex.org/I198244214","display_name":"Universit\u00e9 Clermont Auvergne","ror":"https://ror.org/01a8ajp46","country_code":"FR","type":"education","lineage":["https://openalex.org/I198244214"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Bruno Guillon","raw_affiliation_strings":["LIMOS, Universit\u00e9 Clermont-Auvergne, France"],"affiliations":[{"raw_affiliation_string":"LIMOS, Universit\u00e9 Clermont-Auvergne, France","institution_ids":["https://openalex.org/I4210099416","https://openalex.org/I198244214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003455441","display_name":"Giovanna J. Lavado","orcid":"https://orcid.org/0000-0003-0826-6340"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanna J. Lavado","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, via Celoria 18, 20133 Milano, Italy","ISLab - Dipartimento di Informatica (Information Systems and knowledge management - Via Festa del Perdono 7 - 20122 Milano - Italy)"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, via Celoria 18, 20133 Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"ISLab - Dipartimento di Informatica (Information Systems and knowledge management - Via Festa del Perdono 7 - 20122 Milano - Italy)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029400752","display_name":"Giovanni Pighizzini","orcid":"https://orcid.org/0000-0002-7509-7842"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Pighizzini","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, via Celoria 18, 20133 Milano, Italy","ISLab - Dipartimento di Informatica (Information Systems and knowledge management - Via Festa del Perdono 7 - 20122 Milano - Italy)"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, via Celoria 18, 20133 Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"ISLab - Dipartimento di Informatica (Information Systems and knowledge management - Via Festa del Perdono 7 - 20122 Milano - Italy)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047122119","display_name":"Luca Prigioniero","orcid":"https://orcid.org/0000-0001-7163-4965"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Prigioniero","raw_affiliation_strings":["Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, via Celoria 18, 20133 Milano, Italy","ISLab - Dipartimento di Informatica (Information Systems and knowledge management - Via Festa del Perdono 7 - 20122 Milano - Italy)"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica, Universit\u00e0 degli Studi di Milano, via Celoria 18, 20133 Milano, Italy","institution_ids":["https://openalex.org/I189158943"]},{"raw_affiliation_string":"ISLab - Dipartimento di Informatica (Information Systems and knowledge management - Via Festa del Perdono 7 - 20122 Milano - Italy)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040360969"],"corresponding_institution_ids":["https://openalex.org/I198244214","https://openalex.org/I4210099416"],"apc_list":null,"apc_paid":null,"fwci":0.1509,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.47285751,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"33","issue":"03n04","first_page":"263","last_page":"284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9983999729156494,"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/T12029","display_name":"DNA and Biological Computing","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.6457100510597229},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.46311628818511963},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.46270349621772766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4393693506717682},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.42241087555885315},{"id":"https://openalex.org/keywords/nondeterministic-finite-automaton","display_name":"Nondeterministic finite automaton","score":0.4214746356010437},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40270817279815674},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.348410427570343},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3385998010635376},{"id":"https://openalex.org/keywords/automata-theory","display_name":"Automata theory","score":0.20436128973960876},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0594334602355957}],"concepts":[{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.6457100510597229},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.46311628818511963},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.46270349621772766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4393693506717682},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.42241087555885315},{"id":"https://openalex.org/C158008952","wikidata":"https://www.wikidata.org/wiki/Q617295","display_name":"Nondeterministic finite automaton","level":4,"score":0.4214746356010437},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40270817279815674},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.348410427570343},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3385998010635376},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.20436128973960876},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0594334602355957},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s0129054122410052","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054122410052","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:HAL:hal-04093709v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04093709","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, 2022, 33 (3-4), pp.263-284. ⟨10.1142/S0129054122410052⟩","raw_type":"Journal articles"},{"id":"pmh:oai:air.unimi.it:2434/939648","is_oa":true,"landing_page_url":"http://hdl.handle.net/2434/939648","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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"}],"best_oa_location":{"id":"pmh:oai:air.unimi.it:2434/939648","is_oa":true,"landing_page_url":"http://hdl.handle.net/2434/939648","pdf_url":null,"source":{"id":"https://openalex.org/S4306400516","display_name":"Archivio Istituzionale della Ricerca (Universita Degli Studi Di Milano)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I189158943","host_organization_name":"University of Milan","host_organization_lineage":["https://openalex.org/I189158943"],"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"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.6200000047683716,"display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W155982404","https://openalex.org/W1490320195","https://openalex.org/W1567676570","https://openalex.org/W1989887898","https://openalex.org/W2092386826","https://openalex.org/W2105259569","https://openalex.org/W2115757125","https://openalex.org/W2130741488","https://openalex.org/W2136462002","https://openalex.org/W2228143038","https://openalex.org/W2796797028","https://openalex.org/W2974693702","https://openalex.org/W4233798822","https://openalex.org/W4302339081"],"related_works":["https://openalex.org/W2394954760","https://openalex.org/W2603910788","https://openalex.org/W2772918710","https://openalex.org/W2105843429","https://openalex.org/W2167032348","https://openalex.org/W4212879448","https://openalex.org/W1768118166","https://openalex.org/W2946585142","https://openalex.org/W4320854783","https://openalex.org/W1551895525"],"abstract_inverted_index":{"Finite":[0],"automata":[1,41],"whose":[2],"computations":[3],"can":[4],"be":[5],"reversed,":[6],"at":[7],"any":[8,145],"point,":[9],"by":[10],"knowing":[11],"the":[12,20,91,105,125],"last":[13],"[Formula:":[14,25,38,43,51,58,65,81,86,94,101,151,158,165],"see":[15,26,39,44,52,59,66,82,87,95,102,152,159,166],"text]":[16],"symbols":[17],"read":[18],"from":[19],"input,":[21],"for":[22,63,84,98],"a":[23,116,120,139,157],"fixed":[24,100],"text],":[27,103],"are":[28,36,56,80,111],"considered.":[29],"These":[30],"devices":[31],"and":[32,42,104],"their":[33],"accepted":[34,126],"languages":[35,54,78,110],"called":[37],"text]-reversible":[40,45,53,60,83,96,160,167],"languages,":[46,76,97],"respectively.":[47],"The":[48],"existence":[49],"of":[50,73,93,107],"which":[55,79,141,148,155],"not":[57,133,150],"is":[61,128,136,149,170],"known,":[62],"each":[64,99],"text].":[67,88],"This":[68],"gives":[69],"an":[70,163],"infinite":[71],"hierarchy":[72],"weakly":[74,108,129],"irreversible":[75,109,135],"i.e.,":[77],"some":[85],"Conditions":[89],"characterizing":[90],"class":[92,106],"obtained.":[112],"From":[113],"these":[114],"conditions,":[115],"procedure":[117],"that":[118],"given":[119],"finite":[121,146,168],"automaton":[122,147],"decides":[123],"if":[124],"language":[127],"or":[130],"strongly":[131],"(i.e.,":[132],"weakly)":[134],"described.":[137],"Furthermore,":[138],"construction":[140],"allows":[142],"to":[143],"transform":[144],"text]-reversible,":[153],"but":[154],"accepts":[156],"language,":[161],"into":[162],"equivalent":[164],"automaton,":[169],"presented.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}