{"id":"https://openalex.org/W1518712796","doi":"https://doi.org/10.25596/jalc-2005-535","title":"Incomparability Results for Classes of Polynomial Tree Series Transformations","display_name":"Incomparability Results for Classes of Polynomial Tree Series Transformations","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1518712796","doi":"https://doi.org/10.25596/jalc-2005-535","mag":"1518712796"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.143.321","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.143.321","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://wwwtcs.inf.tu-dresden.de/~maletti/pub/malvog03.pdf","raw_type":"text"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.25596/jalc-2005-535","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087927480","display_name":"Andreas Maletti","orcid":"https://orcid.org/0000-0003-3202-0498"},"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":false,"raw_author_name":"Maletti, Andreas","raw_affiliation_strings":["Department of Computer Science, Technische Universit\u00e4t Dresden Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technische Universit\u00e4t Dresden 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":false,"raw_author_name":"Vogler, Heiko","raw_affiliation_strings":["Department of Computer Science, Technische Universit\u00e4t Dresden Dresden, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technische Universit\u00e4t Dresden Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06581909,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"4","first_page":"535","last_page":"568"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9876999855041504,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9871000051498413,"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/homomorphism","display_name":"Homomorphism","score":0.80828458070755},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.7730937600135803},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.7274274230003357},{"id":"https://openalex.org/keywords/semiring","display_name":"Semiring","score":0.7112158536911011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7018721103668213},{"id":"https://openalex.org/keywords/tree-automaton","display_name":"Tree automaton","score":0.6692765951156616},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5974464416503906},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5327361226081848},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.48686733841896057},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.4461117684841156},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4266451299190521},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.1720816195011139},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1505700647830963},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.07463306188583374},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0689898431301117}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.80828458070755},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.7730937600135803},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7274274230003357},{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.7112158536911011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7018721103668213},{"id":"https://openalex.org/C2778583254","wikidata":"https://www.wikidata.org/wiki/Q2872598","display_name":"Tree automaton","level":3,"score":0.6692765951156616},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5974464416503906},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5327361226081848},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.48686733841896057},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.4461117684841156},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4266451299190521},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.1720816195011139},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1505700647830963},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.07463306188583374},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0689898431301117},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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}],"mesh":[],"locations_count":7,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.143.321","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.143.321","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://wwwtcs.inf.tu-dresden.de/~maletti/pub/malvog03.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.2.7561","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.7561","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/tud03-14.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.220.2921","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.220.2921","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://wwwtcs.inf.tu-dresden.de/~maletti/pub/malvog06.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.69.1300","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.69.1300","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/reports/malvog06.pdf","raw_type":"text"},{"id":"pmh:hdl:10068/184721","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/184721","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":"doi:10.25596/jalc-2005-535","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2005-535","pdf_url":null,"source":{"id":"https://openalex.org/S7407052994","display_name":"Universit\u00e4tsbibliothek Gie\u00dfen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200763008","host_organization_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","host_organization_lineage":["https://openalex.org/I200763008"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:1518712796","is_oa":false,"landing_page_url":"https://www.ims.uni-stuttgart.de/institut/mitarbeiter/maletti/pub/malvog03.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S62907800","display_name":"Journal of automata, languages and combinatorics","issn_l":"1430-189X","issn":["1430-189X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313929","host_organization_name":"University of Giessen","host_organization_lineage":["https://openalex.org/P4310313929"],"host_organization_lineage_names":["University of Giessen"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Journal of automata, languages and combinatorics","raw_type":null}],"best_oa_location":{"id":"doi:10.25596/jalc-2005-535","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2005-535","pdf_url":null,"source":{"id":"https://openalex.org/S7407052994","display_name":"Universit\u00e4tsbibliothek Gie\u00dfen","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200763008","host_organization_name":"Justus-Liebig-Universit\u00e4t Gie\u00dfen","host_organization_lineage":["https://openalex.org/I200763008"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[{"score":0.41999998688697815,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W31505653","https://openalex.org/W58761133","https://openalex.org/W63151163","https://openalex.org/W1480736444","https://openalex.org/W1481596437","https://openalex.org/W1485757985","https://openalex.org/W1486793788","https://openalex.org/W1499263147","https://openalex.org/W1500245277","https://openalex.org/W1503860275","https://openalex.org/W1533251067","https://openalex.org/W1550164500","https://openalex.org/W1561262050","https://openalex.org/W1571307003","https://openalex.org/W1593799327","https://openalex.org/W1597241501","https://openalex.org/W1599306251","https://openalex.org/W1727820016","https://openalex.org/W1844301878","https://openalex.org/W1894625314","https://openalex.org/W1963587568","https://openalex.org/W1966106497","https://openalex.org/W1977578205","https://openalex.org/W1981565634","https://openalex.org/W1987028886","https://openalex.org/W1994187047","https://openalex.org/W1994920572","https://openalex.org/W2002309677","https://openalex.org/W2027769073","https://openalex.org/W2058316523","https://openalex.org/W2068478937","https://openalex.org/W2086722931","https://openalex.org/W2086764975","https://openalex.org/W2087912140","https://openalex.org/W2093397547","https://openalex.org/W2093443776","https://openalex.org/W2106123674","https://openalex.org/W2112430897","https://openalex.org/W2118117473","https://openalex.org/W2126137665","https://openalex.org/W2143658255","https://openalex.org/W2146106361","https://openalex.org/W2150256214","https://openalex.org/W2398941453","https://openalex.org/W2911295106","https://openalex.org/W3037477934"],"related_works":["https://openalex.org/W1481186424","https://openalex.org/W1540584810","https://openalex.org/W2016352529","https://openalex.org/W2068817373","https://openalex.org/W2009710044","https://openalex.org/W2163516613","https://openalex.org/W2057864982","https://openalex.org/W2794418120","https://openalex.org/W2050944638","https://openalex.org/W2950386372","https://openalex.org/W2185182363","https://openalex.org/W2100590693","https://openalex.org/W1985719794","https://openalex.org/W1970091709","https://openalex.org/W1996682424","https://openalex.org/W2045705774","https://openalex.org/W1506349347","https://openalex.org/W1969924783","https://openalex.org/W2885535800","https://openalex.org/W2766847806"],"abstract_inverted_index":{"Polynomial":[0],"bottom-up":[1,58,80],"and":[2,13,21,46],"top-down":[3,101],"tree":[4,59,81,102],"series":[5,60,82,103],"transducers":[6,30,61,83,104],"over":[7,62,84,105],"partially":[8],"ordered":[9],"semirings":[10],"are":[11,31],"considered,":[12],"the":[14,37,72,87,93,114],"classes":[15],"of":[16,52,74,95],"$\\epsilon$-tree-to-tree-series":[17],"(for":[18,23],"short:":[19,24],"$\\epsilon$-t-ts)":[20],"o-tree-to-tree-series":[22],"o-t-ts)":[25],"transformations":[26,54,76,97],"computed":[27,55,77,98],"by":[28,56,78,99],"such":[29],"compared.":[32],"The":[33,50],"main":[34],"result":[35],"is":[36,64,90,110],"following.":[38],"Let":[39],"$A$":[40,63,109],"be":[41],"a":[42],"weakly":[43],"growing":[44],"semiring":[45],"$x,y":[47],"\\in":[48],"\\{deterministic,homomorphism\\}$.":[49],"Class":[51],"o-t-ts":[53],"$x$":[57,100],"incomparable":[65,91],"(with":[66],"respect":[67],"to":[68],"set":[69],"inclusion)":[70],"with":[71,92],"class":[73,89,94],"$\\epsilon$-t-ts":[75,96],"$y$":[79],"$A$.":[85,106],"Moreover,":[86],"latter":[88],"If":[107],"additionally":[108],"additively":[111],"idempotent,":[112],"then":[113],"above":[115],"statements":[116],"even":[117],"hold":[118],"for":[119],"every":[120],"$x,y\\in":[121],"\\{polynomial,deterministic,homomorphism\\}$.":[122]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
