{"id":"https://openalex.org/W6927033481","doi":"https://doi.org/10.25596/jalc-2003-219","title":"Formal Tree Series","display_name":"Formal Tree Series","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W6927033481","doi":"https://doi.org/10.25596/jalc-2003-219"},"language":"en","primary_location":{"id":"doi:10.25596/jalc-2003-219","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2003-219","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.25596/jalc-2003-219","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"\u00c9sik, Zolt\u00e1n","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"\u00c9sik, Zolt\u00e1n","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Kuich, Werner","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kuich, Werner","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54973675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10276","display_name":"Helicobacter pylori-related gastroenterology studies","score":0.9686999917030334,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10276","display_name":"Helicobacter pylori-related gastroenterology studies","score":0.9686999917030334,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13834","display_name":"Whipple's Disease and Interleukins","score":0.0010000000474974513,"subfield":{"id":"https://openalex.org/subfields/2734","display_name":"Pathology and Forensic Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T13314","display_name":"Lymphadenopathy Diagnosis and Analysis","score":0.0008999999845400453,"subfield":{"id":"https://openalex.org/subfields/2746","display_name":"Surgery"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6679999828338623},{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.6442999839782715},{"id":"https://openalex.org/keywords/tree-automaton","display_name":"Tree automaton","score":0.6315000057220459},{"id":"https://openalex.org/keywords/k-ary-tree","display_name":"K-ary tree","score":0.6111000180244446},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4242999851703644},{"id":"https://openalex.org/keywords/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.4174000024795532},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.4097000062465668},{"id":"https://openalex.org/keywords/interval-tree","display_name":"Interval tree","score":0.40700000524520874},{"id":"https://openalex.org/keywords/segment-tree","display_name":"Segment tree","score":0.4059999883174896}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7063000202178955},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6679999828338623},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.6442999839782715},{"id":"https://openalex.org/C2778583254","wikidata":"https://www.wikidata.org/wiki/Q2872598","display_name":"Tree automaton","level":3,"score":0.6315000057220459},{"id":"https://openalex.org/C100560664","wikidata":"https://www.wikidata.org/wiki/Q3608019","display_name":"K-ary tree","level":4,"score":0.6111000180244446},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4242999851703644},{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.4174000024795532},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.4097000062465668},{"id":"https://openalex.org/C84927040","wikidata":"https://www.wikidata.org/wiki/Q6057306","display_name":"Interval tree","level":4,"score":0.40700000524520874},{"id":"https://openalex.org/C94557470","wikidata":"https://www.wikidata.org/wiki/Q2377385","display_name":"Segment tree","level":5,"score":0.4059999883174896},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38670000433921814},{"id":"https://openalex.org/C32929806","wikidata":"https://www.wikidata.org/wiki/Q1474614","display_name":"Function series","level":3,"score":0.3538999855518341},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.34880000352859497},{"id":"https://openalex.org/C27628562","wikidata":"https://www.wikidata.org/wiki/Q17154715","display_name":"Optimal binary search tree","level":5,"score":0.3398999869823456},{"id":"https://openalex.org/C27333817","wikidata":"https://www.wikidata.org/wiki/Q6134913","display_name":"Least fixed point","level":5,"score":0.33809998631477356},{"id":"https://openalex.org/C195597517","wikidata":"https://www.wikidata.org/wiki/Q438842","display_name":"Alternating series","level":3,"score":0.32710000872612},{"id":"https://openalex.org/C140745168","wikidata":"https://www.wikidata.org/wiki/Q1210082","display_name":"Tree traversal","level":2,"score":0.305400013923645},{"id":"https://openalex.org/C2779782106","wikidata":"https://www.wikidata.org/wiki/Q4724020","display_name":"Algebraic theory","level":3,"score":0.2939999997615814},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2924000024795532},{"id":"https://openalex.org/C116248031","wikidata":"https://www.wikidata.org/wiki/Q214526","display_name":"Automata theory","level":3,"score":0.2858000099658966},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2838999927043915},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.2831000089645386},{"id":"https://openalex.org/C163736687","wikidata":"https://www.wikidata.org/wiki/Q17014592","display_name":"Fractal tree index","level":5,"score":0.28290000557899475},{"id":"https://openalex.org/C163797641","wikidata":"https://www.wikidata.org/wiki/Q2067937","display_name":"Tree structure","level":3,"score":0.2782999873161316},{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.2732999920845032},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.2605000138282776},{"id":"https://openalex.org/C147517495","wikidata":"https://www.wikidata.org/wiki/Q5581241","display_name":"Gomory\u2013Hu tree","level":5,"score":0.2556000053882599}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.25596/jalc-2003-219","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2003-219","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.25596/jalc-2003-219","is_oa":true,"landing_page_url":"https://doi.org/10.25596/jalc-2003-219","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"survey":[2],"we":[3],"report":[4],"on":[5,10],"generalizations":[6,20],"of":[7,40,58,64,87,93,100,114,146,163,179,184,192,204,217,222,238,247],"some":[8],"results":[9,63],"formal":[11,32],"tree":[12,14,17,33,76,81,101,116,122,127,132,139,148,154,165,173,181,186,193,219,224],"languages,":[13,207],"grammars":[15],"and":[16,35,46,137,183,208,221],"automata.":[18],"These":[19],"are":[21,48,51,67,80,98,106,131,141,188,213],"achieved":[22],"by":[23,120,152],"an":[24],"algebraic":[25,138,147,153,185,210,218],"treatment":[26],"using":[27],"semirings,":[28],"fixed":[29],"point":[30,57],"theory,":[31],"series":[34,82,102,117,123,133,149,155,166,174,182,187,194,212,220],"matrices.":[36],"By":[37],"the":[38,65,68,112,144,205,209,215,236],"use":[39],"these":[41],"mathematical":[42,56],"constructs":[43],"definitions,":[44],"constructions,":[45],"proofs":[47],"obtained":[49],"that":[50],"very":[52],"satisfactory":[53],"from":[54],"a":[55,84,104,135,202,229,239,243],"view.":[59],"The":[60,161,177,198],"main":[61],"surveyed":[62],"paper":[66],"following:":[69],"1.":[70],"Tree":[71],"automata":[72],"(resp.":[73,89],"finite,":[74,90],"polynomial":[75,91],"automata),":[77],"whose":[78,95,129],"behaviours":[79,130],"over":[83,103,134],"semiring,and":[85],"systems":[86,92,140],"equations":[88],"equations),":[94],"least":[96],"solutions":[97],"tuples":[99],"semiring,":[105,136],"equivalent.":[107],"2.":[108],"A":[109],"Kleene":[110,158,230],"result:":[111],"class":[113,145,162],"recognizable":[115,164,172,180,223],"is":[118,150,167,228,242],"characterized":[119,151],"rational":[121],"expressions.":[124],"3.":[125],"Pushdown":[126],"automata,":[128],"equivalent;":[142],"moreover,":[143],"expressions":[156],"(a":[157],"result).":[159],"4.":[160],"Closed":[168],"under":[169],"nondeterministic":[170],"simple":[171],"transductions.":[175],"5.":[176],"families":[178,191],"full":[189,240,244],"abstract":[190,245],"(full":[195],"AFTS).":[196],"6.":[197],"macro":[199,233],"power":[200,211,234,248],"series,":[201,225],"generalization":[203],"indexed":[206],"exactly":[214],"yields":[216],"respectively;":[226],"there":[227],"result":[231],"for":[232],"series;":[235],"yield":[237],"AFT":[241],"family":[246],"series.":[249]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}
