{"id":"https://openalex.org/W2126978970","doi":"https://doi.org/10.1109/lics.2010.28","title":"The Emptiness Problem for Tree Automata with Global Constraints","display_name":"The Emptiness Problem for Tree Automata with Global Constraints","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2126978970","doi":"https://doi.org/10.1109/lics.2010.28","mag":"2126978970"},"language":"en","primary_location":{"id":"doi:10.1109/lics.2010.28","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2010.28","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 25th Annual IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00578901","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012720966","display_name":"Luis Bargu\u00f1\u00f3","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Luis Barguno","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya Barcelona, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya Barcelona, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087991895","display_name":"Carles Creus","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Carles Creus","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya Barcelona, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya Barcelona, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061131539","display_name":"Guillem Godoy","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Guillem Godoy","raw_affiliation_strings":["Universitat Polit\u00e8cnica de Catalunya Barcelona, Barcelona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat Polit\u00e8cnica de Catalunya Barcelona, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068320028","display_name":"Florent Jacquemard","orcid":null},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Florent Jacquemard","raw_affiliation_strings":["INRIA Saclay LSV-CNRS/ENS Cachan","INRIA Saclay LSV-CNRS/ENS Cachan, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INRIA Saclay LSV-CNRS/ENS Cachan","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA Saclay LSV-CNRS/ENS Cachan, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058915526","display_name":"Camille Vacher","orcid":"https://orcid.org/0000-0002-3740-7168"},"institutions":[{"id":"https://openalex.org/I11559806","display_name":"\u00c9cole Normale Sup\u00e9rieure Paris-Saclay","ror":"https://ror.org/00hx6zz33","country_code":"FR","type":"education","lineage":["https://openalex.org/I11559806","https://openalex.org/I277688954"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I19370010","display_name":"Orange (France)","ror":"https://ror.org/035j0tq82","country_code":"FR","type":"company","lineage":["https://openalex.org/I19370010"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Camille Vacher","raw_affiliation_strings":["France Telecom R&D LSV-CNRS/ENS Cachan, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"France Telecom R&D LSV-CNRS/ENS Cachan, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I19370010"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.084,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.945834,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"263","last_page":"272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994000196456909,"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/T10142","display_name":"Formal Methods in Verification","score":0.9994000196456909,"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/T11567","display_name":"semigroups and automata theory","score":0.9952999949455261,"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":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7860409021377563},{"id":"https://openalex.org/keywords/tree-automaton","display_name":"Tree automaton","score":0.5877653956413269},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.560627818107605},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5542916655540466},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5341542959213257},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5067701935768127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4635412395000458},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4616279900074005},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4599527418613434},{"id":"https://openalex.org/keywords/emptiness","display_name":"Emptiness","score":0.41143321990966797},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39384597539901733},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28957414627075195},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2839735448360443},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2500714361667633}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7860409021377563},{"id":"https://openalex.org/C2778583254","wikidata":"https://www.wikidata.org/wiki/Q2872598","display_name":"Tree automaton","level":3,"score":0.5877653956413269},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.560627818107605},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5542916655540466},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5341542959213257},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5067701935768127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4635412395000458},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4616279900074005},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4599527418613434},{"id":"https://openalex.org/C2779150620","wikidata":"https://www.wikidata.org/wiki/Q1096367","display_name":"Emptiness","level":2,"score":0.41143321990966797},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39384597539901733},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28957414627075195},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2839735448360443},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2500714361667633},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","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},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/lics.2010.28","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lics.2010.28","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 25th Annual IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.398.2959","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.398.2959","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lsv.ens-cachan.fr/Publis/PAPERS/PDF/BCGJV-lics10.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.635.8743","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.635.8743","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.univ-lille3.fr/docs/00/57/89/01/PDF/globalconstraints-IEEE.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.657.8465","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.657.8465","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.inria.fr/inria-00578901/document/","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00578901v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00578901","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5571714","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00578901v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00578901","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5571714","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W160847359","https://openalex.org/W1498432341","https://openalex.org/W1508979488","https://openalex.org/W1509368987","https://openalex.org/W1517909403","https://openalex.org/W1523878602","https://openalex.org/W1542510688","https://openalex.org/W1568363005","https://openalex.org/W1583295953","https://openalex.org/W1593799327","https://openalex.org/W1927487601","https://openalex.org/W1944541449","https://openalex.org/W1967744155","https://openalex.org/W1994475785","https://openalex.org/W2008958263","https://openalex.org/W2035020702","https://openalex.org/W2036564813","https://openalex.org/W2040295920","https://openalex.org/W2052432706","https://openalex.org/W2053455078","https://openalex.org/W2076972393","https://openalex.org/W2088129830","https://openalex.org/W2092010284","https://openalex.org/W2092398161","https://openalex.org/W2120254577","https://openalex.org/W2126978970","https://openalex.org/W2162687540","https://openalex.org/W3148558322","https://openalex.org/W4230919050","https://openalex.org/W4285719527","https://openalex.org/W6631383530","https://openalex.org/W6634149291"],"related_works":["https://openalex.org/W2024521168","https://openalex.org/W2367752232","https://openalex.org/W2946506817","https://openalex.org/W3121073237","https://openalex.org/W2752930545","https://openalex.org/W2040430117","https://openalex.org/W2742582826","https://openalex.org/W2021535402","https://openalex.org/W1554938010","https://openalex.org/W3104116428"],"abstract_inverted_index":{"We":[0,80,102,133],"define":[1],"tree":[2,12],"automata":[3,13],"with":[4,14,175],"global":[5,15,109],"constraints":[6,19,63,111],"(TAGC),":[7],"generalizing":[8],"the":[9,35,48,84,93,114,122,145,161,167],"class":[10],"of":[11,73,83,96,98,116,118,124,154,163,166],"equality":[16,25,137,178],"and":[17,26,138,144,179,183],"disequality":[18,27,139,180],"(TAGED).":[20],"TAGC":[21,43],"can":[22,44],"test":[23],"for":[24,64,87,100,112,157,177],"between":[28,141,181],"subterms":[29,49,126],"whose":[30],"positions":[31,72,143],"are":[32,54],"defined":[33],"by":[34,107],"states":[36],"reached":[37],"during":[38,130],"a":[39,51,74,131,152,164],"computation.":[40,132],"In":[41],"particular,":[42,92],"check":[45],"that":[46,68],"all":[47],"reaching":[50,127],"given":[52,75],"state":[53,120,129],"distinct.":[55],"This":[56,89],"constraint":[57],"is":[58],"related":[59],"to":[60,147],"monadic":[61,168],"key":[62],"XML":[65],"documents,":[66],"meaning":[67],"every":[69],"two":[70],"distinct":[71],"type":[76],"have":[77],"different":[78,125],"values.":[79],"prove":[81,160],"decidability":[82,97,162],"emptiness":[85,99],"problem":[86],"TAGC.":[88],"solves,":[90],"in":[91],"open":[94],"question":[95],"TAGED.":[101],"further":[103],"extend":[104],"our":[105,155],"result":[106],"allowing":[108],"arithmetic":[110],"counting":[113],"number":[115,123],"occurrences":[117],"some":[119,128],"or":[121],"also":[134],"allow":[135],"local":[136],"tests":[140],"sibling":[142],"extension":[146],"unranked":[148],"ordered":[149],"trees.":[150],"As":[151],"consequence":[153],"results":[156],"TAGC,":[158],"we":[159],"fragment":[165],"second":[169],"order":[170],"logic":[171],"on":[172],"trees":[173],"extended":[174],"predicates":[176],"subtrees,":[182],"cardinality.":[184]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
