{"id":"https://openalex.org/W2068478937","doi":"https://doi.org/10.1007/s00224-004-1096-z","title":"A Kleene Theorem for Weighted Tree Automata","display_name":"A Kleene Theorem for Weighted Tree Automata","publication_year":2004,"publication_date":"2004-09-14","ids":{"openalex":"https://openalex.org/W2068478937","doi":"https://doi.org/10.1007/s00224-004-1096-z","mag":"2068478937"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-004-1096-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-004-1096-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"0025-5661","issn":["0025-5661","1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","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/A5026097476","display_name":"Manfred Droste","orcid":"https://orcid.org/0000-0001-9128-8844"},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Manfred Droste","raw_affiliation_strings":["Department of Mathematics and Computer Science, University of Leipzig,\nD-04109 Leipzig, Germany","Department of Mathematics and Computer Science, University of Leipzig, D-04109 Leipzig, Germany#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Leipzig,\nD-04109 Leipzig, Germany","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, University of Leipzig, D-04109 Leipzig, Germany#TAB#","institution_ids":["https://openalex.org/I926574661"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068317577","display_name":"Christian Pech","orcid":"https://orcid.org/0000-0002-5018-013X"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Christian Pech","raw_affiliation_strings":["Department of Mathematics and Natural Sciences,\nDresden University of Technology,\nD-01062 Dresden, Germany","Department of Mathematics and Natural Sciences,#N#Dresden University of Technology,#N#D-01062 Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Natural Sciences,\nDresden University of Technology,\nD-01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Department of Mathematics and Natural Sciences,#N#Dresden University of Technology,#N#D-01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013068281","display_name":"Heiko Vogler","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"Technische Universit\u00e4t Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Heiko Vogler","raw_affiliation_strings":["Department of Computer Science, Dresden University of Technology,\nD-01062 Dresden, Germany","Department of Computer Science, Dresden University of Technology, D-01062 Dresden, Germany ("],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Dresden University of Technology,\nD-01062 Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Department of Computer Science, Dresden University of Technology, D-01062 Dresden, Germany (","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013068281","https://openalex.org/A5026097476","https://openalex.org/A5068317577"],"corresponding_institution_ids":["https://openalex.org/I78650965","https://openalex.org/I926574661"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":4.1884,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.93992286,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"38","issue":"1","first_page":"1","last_page":"38"},"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/T10126","display_name":"Logic, programming, and type systems","score":0.996999979019165,"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/T10911","display_name":"Chemical Synthesis and Analysis","score":0.9944000244140625,"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/semiring","display_name":"Semiring","score":0.8725545406341553},{"id":"https://openalex.org/keywords/tree-automaton","display_name":"Tree automaton","score":0.7028665542602539},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.6871281266212463},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6869395971298218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6756649017333984},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5886030197143555},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5484600067138672},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5440513491630554},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5143998265266418},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.5003499984741211},{"id":"https://openalex.org/keywords/kleenes-recursion-theorem","display_name":"Kleene's recursion theorem","score":0.47442761063575745},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4346703290939331},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3695623576641083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1950570046901703},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16913604736328125},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.1120293140411377}],"concepts":[{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.8725545406341553},{"id":"https://openalex.org/C2778583254","wikidata":"https://www.wikidata.org/wiki/Q2872598","display_name":"Tree automaton","level":3,"score":0.7028665542602539},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.6871281266212463},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6869395971298218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6756649017333984},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5886030197143555},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5484600067138672},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5440513491630554},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5143998265266418},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.5003499984741211},{"id":"https://openalex.org/C123260079","wikidata":"https://www.wikidata.org/wiki/Q1933521","display_name":"Kleene's recursion theorem","level":2,"score":0.47442761063575745},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4346703290939331},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3695623576641083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1950570046901703},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16913604736328125},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.1120293140411377},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00224-004-1096-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-004-1096-z","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"0025-5661","issn":["0025-5661","1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.17.9956","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.17.9956","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.orchid.inf.tu-dresden.de/gdp/forschung/../technical_reports/tud02-04.ps","raw_type":"text"},{"id":"pmh:hdl:10068/181108","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/181108","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"R - Report"},{"id":"pmh:oai:lips.informatik.uni-leipzig.de:945","is_oa":false,"landing_page_url":"http://lips.informatik.uni-leipzig.de/?q=node/945","pdf_url":null,"source":{"id":"https://openalex.org/S4377196964","display_name":"Publikation Server (Leipzig University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I926574661","host_organization_name":"Leipzig University","host_organization_lineage":["https://openalex.org/I926574661"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theory of Computing Systems, 38 (2005), 1-38.","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W31505653","https://openalex.org/W52395075","https://openalex.org/W63151163","https://openalex.org/W64227553","https://openalex.org/W123022540","https://openalex.org/W1485757985","https://openalex.org/W1570445666","https://openalex.org/W1574846092","https://openalex.org/W1578332044","https://openalex.org/W1597241501","https://openalex.org/W1599306251","https://openalex.org/W1607161872","https://openalex.org/W1894625314","https://openalex.org/W1963587568","https://openalex.org/W1981565634","https://openalex.org/W1984151763","https://openalex.org/W1987028886","https://openalex.org/W1994187047","https://openalex.org/W1994920572","https://openalex.org/W2002309677","https://openalex.org/W2027769073","https://openalex.org/W2034958470","https://openalex.org/W2035020702","https://openalex.org/W2073663206","https://openalex.org/W2086722931","https://openalex.org/W2087382212","https://openalex.org/W2088663734","https://openalex.org/W2105233779","https://openalex.org/W2118117473","https://openalex.org/W2125529971","https://openalex.org/W2131742729","https://openalex.org/W2150256214","https://openalex.org/W2415292458","https://openalex.org/W2911295106","https://openalex.org/W2913344232","https://openalex.org/W3013232094","https://openalex.org/W3037477934"],"related_works":["https://openalex.org/W2001570562","https://openalex.org/W2862035520","https://openalex.org/W128048679","https://openalex.org/W150901856","https://openalex.org/W2597370178","https://openalex.org/W3176710411","https://openalex.org/W1524873566","https://openalex.org/W2068478937","https://openalex.org/W2519408228","https://openalex.org/W1537695149"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}
