{"id":"https://openalex.org/W2924212883","doi":"https://doi.org/10.23638/lmcs-15(4:11)2019","title":"A non-regular language of infinite trees that is recognizable by a sort-wise finite algebra","display_name":"A non-regular language of infinite trees that is recognizable by a sort-wise finite algebra","publication_year":2019,"publication_date":"2019-11-29","ids":{"openalex":"https://openalex.org/W2924212883","doi":"https://doi.org/10.23638/lmcs-15(4:11)2019","mag":"2924212883"},"language":"en","primary_location":{"id":"doi:10.23638/lmcs-15(4:11)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(4:11)2019","pdf_url":"https://lmcs.episciences.org/5927/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/5927/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050056333","display_name":"Miko\u0142aj Boja\u0144czyk","orcid":"https://orcid.org/0000-0002-7758-1072"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Miko\u0142aj Boja\u0144czyk","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5025346659","display_name":"Bartek Klin","orcid":"https://orcid.org/0000-0001-5793-7425"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Bartek Klin","raw_affiliation_strings":["University of Warsaw University of Warsaw CA 94105 , USA , or Eisenacher Strasse 2 , 10777 Berlin , Germany"],"affiliations":[{"raw_affiliation_string":"University of Warsaw University of Warsaw CA 94105 , USA , or Eisenacher Strasse 2 , 10777 Berlin , Germany","institution_ids":["https://openalex.org/I4654613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050056333"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.51648392,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"Volume 15, Issue 4","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":0.9998999834060669,"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":0.9998999834060669,"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":0.9947999715805054,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9912999868392944,"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/sort","display_name":"sort","score":0.7680165767669678},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6488836407661438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6307908296585083},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5397984981536865},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.5097879767417908},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4562666416168213},{"id":"https://openalex.org/keywords/regular-language","display_name":"Regular language","score":0.4468661844730377},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36165136098861694},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.356644868850708},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34360969066619873},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21635687351226807},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1522965133190155},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.08914130926132202},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.07761862874031067}],"concepts":[{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.7680165767669678},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6488836407661438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6307908296585083},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5397984981536865},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.5097879767417908},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4562666416168213},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.4468661844730377},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36165136098861694},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.356644868850708},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34360969066619873},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21635687351226807},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1522965133190155},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.08914130926132202},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.07761862874031067},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.23638/lmcs-15(4:11)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(4:11)2019","pdf_url":"https://lmcs.episciences.org/5927/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1804.06667","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.06667","pdf_url":"https://arxiv.org/pdf/1804.06667","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":"doi:10.48550/arxiv.1804.06667","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1804.06667","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:2998498510","is_oa":true,"landing_page_url":"https://dblp.uni-trier.de/db/journals/lmcs/lmcs15.html#BojanczykK19","pdf_url":null,"source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Logical Methods in Computer Science","raw_type":null}],"best_oa_location":{"id":"doi:10.23638/lmcs-15(4:11)2019","is_oa":true,"landing_page_url":"https://doi.org/10.23638/lmcs-15(4:11)2019","pdf_url":"https://lmcs.episciences.org/5927/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7842005466","display_name":null,"funder_award_id":"Horizon 2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7970926153","display_name":null,"funder_award_id":"683080","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2924212883.pdf","grobid_xml":"https://content.openalex.org/works/W2924212883.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W103770413","https://openalex.org/W1539150709","https://openalex.org/W1595607777","https://openalex.org/W1980992394","https://openalex.org/W2010933307","https://openalex.org/W2035020702","https://openalex.org/W2062792526","https://openalex.org/W2086359902","https://openalex.org/W2120713972","https://openalex.org/W2962996851"],"related_works":["https://openalex.org/W238609530","https://openalex.org/W2734192830","https://openalex.org/W3016395638","https://openalex.org/W2361805396","https://openalex.org/W1636163329","https://openalex.org/W4292947165","https://openalex.org/W3045121788","https://openalex.org/W3201655533","https://openalex.org/W3134442314","https://openalex.org/W2049702451"],"abstract_inverted_index":{"$\\omega$-clones":[0],"are":[1,15],"multi-sorted":[2],"structures":[3],"that":[4,29,44,67],"naturally":[5],"emerge":[6],"as":[7,13],"algebras":[8,17],"for":[9,18,54],"infinite":[10,19,55],"trees,":[11,56],"just":[12],"$\\omega$-semigroups":[14],"convenient":[16],"words.":[20],"In":[21],"the":[22,57],"algebraic":[23],"theory":[24],"of":[25],"languages,":[26],"one":[27],"hopes":[28],"a":[30,78],"language":[31],"is":[32,39,45,59,68],"regular":[33],"if":[34,37],"and":[35,73],"only":[36],"it":[38],"recognized":[40],"by":[41],"an":[42,65],"algebra":[43],"finite":[46,69],"in":[47],"some":[48],"simple":[49],"sense.":[50],"We":[51],"show":[52],"that,":[53],"situation":[58],"not":[60],"so":[61],"simple:":[62],"there":[63],"exists":[64],"$\\omega$-clone":[66],"on":[70],"every":[71],"sort":[72],"finitely":[74],"generated,":[75],"but":[76],"recognizes":[77],"non-regular":[79],"language.":[80]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}