{"id":"https://openalex.org/W1606946808","doi":"https://doi.org/10.1007/978-3-540-30550-7_32","title":"Complementation of Rational Sets on Countable Scattered Linear Orderings","display_name":"Complementation of Rational Sets on Countable Scattered Linear Orderings","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1606946808","doi":"https://doi.org/10.1007/978-3-540-30550-7_32","mag":"1606946808"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-30550-7_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30550-7_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-00160985/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088192602","display_name":"Chlo\u00e9 Rispal","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Chlo\u00e9 Rispal","raw_affiliation_strings":["IGM, Universit\u00e9 de Marne-la-Vall\u00e9e, Marne-la-Vall\u00e9e, France"],"affiliations":[{"raw_affiliation_string":"IGM, Universit\u00e9 de Marne-la-Vall\u00e9e, Marne-la-Vall\u00e9e, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025290597","display_name":"Olivier Carton","orcid":"https://orcid.org/0000-0002-2728-6534"},"institutions":[{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]},{"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":"Olivier Carton","raw_affiliation_strings":["LIAFA, Universit\u00e9 Paris 7, Paris, France"],"affiliations":[{"raw_affiliation_string":"LIAFA, Universit\u00e9 Paris 7, Paris, France","institution_ids":["https://openalex.org/I4210094115","https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088192602"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3764,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.82025095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"381","last_page":"392"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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":1.0,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9994000196456909,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9973000288009644,"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/transfinite-number","display_name":"Transfinite number","score":0.9320299625396729},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.8874660730361938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7583739757537842},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7074354887008667},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.6208873987197876},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5975282788276672},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5705981850624084},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36752253770828247},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3433458209037781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12034675478935242},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.1015920341014862},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05984485149383545}],"concepts":[{"id":"https://openalex.org/C147358099","wikidata":"https://www.wikidata.org/wiki/Q1069891","display_name":"Transfinite number","level":2,"score":0.9320299625396729},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.8874660730361938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7583739757537842},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7074354887008667},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.6208873987197876},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5975282788276672},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5705981850624084},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36752253770828247},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3433458209037781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12034675478935242},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.1015920341014862},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05984485149383545}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-30550-7_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-30550-7_32","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-00160985v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00160985","pdf_url":"https://hal.science/hal-00160985/document","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":"https://link-springer-com.extranet.enpc.fr/chapter/10.1007/978-3-540-30550-7_32","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-00160985v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00160985","pdf_url":"https://hal.science/hal-00160985/document","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":"https://link-springer-com.extranet.enpc.fr/chapter/10.1007/978-3-540-30550-7_32","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1606946808.pdf","grobid_xml":"https://content.openalex.org/works/W1606946808.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W137331784","https://openalex.org/W587223573","https://openalex.org/W1540540181","https://openalex.org/W1570445666","https://openalex.org/W1587340481","https://openalex.org/W1601573757","https://openalex.org/W1974936237","https://openalex.org/W1976772375","https://openalex.org/W1983547737","https://openalex.org/W1999929274","https://openalex.org/W2005848337","https://openalex.org/W2028004422","https://openalex.org/W2030683439","https://openalex.org/W2056871658","https://openalex.org/W2094912129","https://openalex.org/W2095689360","https://openalex.org/W2111715088","https://openalex.org/W2116250539","https://openalex.org/W2131742729","https://openalex.org/W2162583406","https://openalex.org/W2280396455","https://openalex.org/W2652665647","https://openalex.org/W4205178514","https://openalex.org/W4240244556","https://openalex.org/W4242654370"],"related_works":["https://openalex.org/W2089968568","https://openalex.org/W2048273249","https://openalex.org/W2950239705","https://openalex.org/W2261099788","https://openalex.org/W2498880115","https://openalex.org/W1524249063","https://openalex.org/W1672266275","https://openalex.org/W4294167392","https://openalex.org/W1485702188","https://openalex.org/W1516534821"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}