{"id":"https://openalex.org/W2005407474","doi":"https://doi.org/10.1016/0304-3975(88)90020-5","title":"Counting with rational functions","display_name":"Counting with rational functions","publication_year":1988,"publication_date":"1988-06-01","ids":{"openalex":"https://openalex.org/W2005407474","doi":"https://doi.org/10.1016/0304-3975(88)90020-5","mag":"2005407474"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(88)90020-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(88)90020-5","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113563002","display_name":"Christian Choffrut","orcid":"https://orcid.org/0000-0002-9849-3514"},"institutions":[{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C. Choffrut","raw_affiliation_strings":["Facult\u00e9 des Sciences, Universit\u00e9 de Rouen, 76130 Mont-Saint-Aignan, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Facult\u00e9 des Sciences, Universit\u00e9 de Rouen, 76130 Mont-Saint-Aignan, France","institution_ids":["https://openalex.org/I62396329"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113451085","display_name":"M. P. Sch\u00fctzenberger","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M.P. Schutzenberger","raw_affiliation_strings":["U.E.R. de Math\u00e9matiques et d'Informatique, Universit\u00e9 de Paris VII 75251 Paris Cedex 05, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"U.E.R. de Math\u00e9matiques et d'Informatique, Universit\u00e9 de Paris VII 75251 Paris Cedex 05, France","institution_ids":["https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2600,"currency":"USD","value_usd":2600},"apc_paid":null,"fwci":1.0472,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73335581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"58","issue":"1-3","first_page":"81","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9868999719619751,"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":0.9868999719619751,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.984000027179718,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9710000157356262,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.8653700351715088},{"id":"https://openalex.org/keywords/free-monoid","display_name":"Free monoid","score":0.63878333568573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6171359419822693},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5383120775222778},{"id":"https://openalex.org/keywords/humanities","display_name":"Humanities","score":0.3817875385284424},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09936314821243286}],"concepts":[{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.8653700351715088},{"id":"https://openalex.org/C149685015","wikidata":"https://www.wikidata.org/wiki/Q5500266","display_name":"Free monoid","level":3,"score":0.63878333568573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6171359419822693},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5383120775222778},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.3817875385284424},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09936314821243286}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0304-3975(88)90020-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(88)90020-5","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W178092911","https://openalex.org/W196919032","https://openalex.org/W1505482284","https://openalex.org/W1523480252","https://openalex.org/W1523977407","https://openalex.org/W2002796887","https://openalex.org/W2059501879","https://openalex.org/W2087943533","https://openalex.org/W2330243223","https://openalex.org/W2574267903","https://openalex.org/W4239862070","https://openalex.org/W6607292033","https://openalex.org/W6633389301"],"related_works":["https://openalex.org/W51936586","https://openalex.org/W2071633178","https://openalex.org/W2375401910","https://openalex.org/W3161268522","https://openalex.org/W2383679568","https://openalex.org/W2018277027","https://openalex.org/W2090238248","https://openalex.org/W4309342406","https://openalex.org/W2038387119","https://openalex.org/W3130993066"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
