{"id":"https://openalex.org/W1725941862","doi":"https://doi.org/10.1007/978-3-540-85780-8_38","title":"Hierarchies of Piecewise Testable Languages","display_name":"Hierarchies of Piecewise Testable Languages","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1725941862","doi":"https://doi.org/10.1007/978-3-540-85780-8_38","mag":"1725941862"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-85780-8_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85780-8_38","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021831758","display_name":"Ond\u0159ej Kl\u00edma","orcid":"https://orcid.org/0000-0001-6513-5086"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Ond\u0159ej Kl\u00edma","raw_affiliation_strings":["Department of Mathematics, Masaryk University, Brno, Czech Republic","Department of Mathematics, Masaryk University, Brno, Czech Republic 662 95#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Masaryk University, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"Department of Mathematics, Masaryk University, Brno, Czech Republic 662 95#TAB#","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023816775","display_name":"Libor Pol\u00e1k","orcid":null},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Libor Pol\u00e1k","raw_affiliation_strings":["Department of Mathematics, Masaryk University, Brno, Czech Republic","Department of Mathematics, Masaryk University, Brno, Czech Republic 662 95#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Masaryk University, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"Department of Mathematics, Masaryk University, Brno, Czech Republic 662 95#TAB#","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021831758"],"corresponding_institution_ids":["https://openalex.org/I21449261"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7723,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.71437727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"479","last_page":"490"},"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9958999752998352,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.7359975576400757},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.6146565079689026},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.5972145199775696},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.5274192094802856},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5231993198394775},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4564109444618225},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43271923065185547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41494908928871155},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3994535505771637},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32700034976005554},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2989886403083801},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06270161271095276},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04268494248390198}],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.7359975576400757},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.6146565079689026},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.5972145199775696},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.5274192094802856},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5231993198394775},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4564109444618225},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43271923065185547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41494908928871155},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3994535505771637},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32700034976005554},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2989886403083801},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06270161271095276},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04268494248390198},{"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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-85780-8_38","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85780-8_38","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1490682046","https://openalex.org/W1492742948","https://openalex.org/W1494501847","https://openalex.org/W1511995922","https://openalex.org/W1533648993","https://openalex.org/W1600140231","https://openalex.org/W1994977236","https://openalex.org/W1996149733","https://openalex.org/W2000856728","https://openalex.org/W2008933300","https://openalex.org/W2032250117","https://openalex.org/W2042177219","https://openalex.org/W2060549391","https://openalex.org/W2070588477","https://openalex.org/W2085795903","https://openalex.org/W2167954650","https://openalex.org/W2606779389","https://openalex.org/W2912226968","https://openalex.org/W3148823891","https://openalex.org/W4230948545","https://openalex.org/W4285719527","https://openalex.org/W4299651338"],"related_works":["https://openalex.org/W2365264209","https://openalex.org/W962203960","https://openalex.org/W2026999166","https://openalex.org/W1599954583","https://openalex.org/W1996802783","https://openalex.org/W3023070374","https://openalex.org/W1529494625","https://openalex.org/W2342017063","https://openalex.org/W2351578128","https://openalex.org/W2950460772"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
