{"id":"https://openalex.org/W1531378138","doi":"https://doi.org/10.3233/fi-2011-586","title":"A Kleene-Sch\u00fctzenberger Theorem for Trace Series over Bounded Lattices","display_name":"A Kleene-Sch\u00fctzenberger Theorem for Trace Series over Bounded Lattices","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1531378138","doi":"https://doi.org/10.3233/fi-2011-586","mag":"1531378138"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2011-586","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2011-586","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5010168911","display_name":"Martin Huschenbett","orcid":null},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Martin Huschenbett","raw_affiliation_strings":["Institut f\u00fcr Theoretische Informatik, Technische Universit\u00e4t Ilmenau, Germany. martin.huschenbett@tu-ilmenau.de"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Theoretische Informatik, Technische Universit\u00e4t Ilmenau, Germany. martin.huschenbett@tu-ilmenau.de","institution_ids":["https://openalex.org/I119449181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5010168911"],"corresponding_institution_ids":["https://openalex.org/I119449181"],"apc_list":null,"apc_paid":null,"fwci":0.6277,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66341034,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"112","issue":"2-3","first_page":"171","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9988999962806702,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9908000230789185,"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/trace","display_name":"TRACE (psycholinguistics)","score":0.7914430499076843},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6719317436218262},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6234337091445923},{"id":"https://openalex.org/keywords/kleene-algebra","display_name":"Kleene algebra","score":0.5832288265228271},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5744560956954956},{"id":"https://openalex.org/keywords/bounded-inverse-theorem","display_name":"Bounded inverse theorem","score":0.5154741406440735},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4098752737045288},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40880563855171204},{"id":"https://openalex.org/keywords/bounded-operator","display_name":"Bounded operator","score":0.2015916407108307},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1466231346130371}],"concepts":[{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.7914430499076843},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6719317436218262},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6234337091445923},{"id":"https://openalex.org/C206470798","wikidata":"https://www.wikidata.org/wiki/Q2634506","display_name":"Kleene algebra","level":2,"score":0.5832288265228271},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5744560956954956},{"id":"https://openalex.org/C93796298","wikidata":"https://www.wikidata.org/wiki/Q4949984","display_name":"Bounded inverse theorem","level":4,"score":0.5154741406440735},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4098752737045288},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40880563855171204},{"id":"https://openalex.org/C175454919","wikidata":"https://www.wikidata.org/wiki/Q2342396","display_name":"Bounded operator","level":3,"score":0.2015916407108307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1466231346130371},{"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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2011-586","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2011-586","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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":20,"referenced_works":["https://openalex.org/W1497067119","https://openalex.org/W1506437980","https://openalex.org/W1529497146","https://openalex.org/W1538951098","https://openalex.org/W1540999307","https://openalex.org/W1541148313","https://openalex.org/W1570445666","https://openalex.org/W1643571618","https://openalex.org/W1746593892","https://openalex.org/W1975161395","https://openalex.org/W1977218932","https://openalex.org/W1984151763","https://openalex.org/W1994100944","https://openalex.org/W2102589262","https://openalex.org/W2148722937","https://openalex.org/W2488449817","https://openalex.org/W2912461213","https://openalex.org/W2913344232","https://openalex.org/W2913452116","https://openalex.org/W3126996113"],"related_works":["https://openalex.org/W2054183295","https://openalex.org/W1546486938","https://openalex.org/W2022681600","https://openalex.org/W4213034411","https://openalex.org/W2083794201","https://openalex.org/W2183279509","https://openalex.org/W2141474714","https://openalex.org/W4386689004","https://openalex.org/W4361806869","https://openalex.org/W1881931988"],"abstract_inverted_index":{"We":[0,47],"study":[1],"weighted":[2],"trace":[3,66],"automata":[4],"with":[5],"weights":[6],"in":[7,70,75,83,85],"strong":[8,21],"bimonoids.":[9],"Traces":[10],"form":[11],"a":[12],"generalization":[13],"of":[14,53,62,78],"words":[15],"that":[16,26,49],"allow":[17],"to":[18],"model":[19],"concurrency;":[20],"bimonoids":[22],"are":[23,41,56,72],"algebraic":[24],"structures":[25],"can":[27],"be":[28],"regarded":[29],"as":[30],"\u201csemirings":[31],"without":[32],"distributivity\u201d.":[33],"A":[34],"very":[35],"important":[36],"example":[37],"for":[38],"the":[39,54,60,76,86,88,93],"latter":[40],"bounded":[42],"lattices,":[43],"especially":[44],"non-distributive":[45],"ones.":[46],"show":[48],"if":[50],"both":[51],"operations":[52],"bimonoid":[55,87],"locally":[57],"finite,":[58],"then":[59,97],"classes":[61,100],"recognizable":[63],"and":[64,92],"mc-rational":[65],"series":[67],"coincide":[68],"and,":[69],"general,":[71],"properly":[73],"contained":[74],"class":[77],"c-rational":[79],"series.":[80],"Moreover,":[81],"if,":[82],"addition,":[84],"addition":[89],"is":[90,95],"idempotent":[91],"multiplication":[94],"commutative,":[96],"all":[98],"three":[99],"coincide.":[101]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
