{"id":"https://openalex.org/W1998912565","doi":"https://doi.org/10.2168/lmcs-10(2:10)2014","title":"Global Numerical Constraints on Trees","display_name":"Global Numerical Constraints on Trees","publication_year":2014,"publication_date":"2014-06-16","ids":{"openalex":"https://openalex.org/W1998912565","doi":"https://doi.org/10.2168/lmcs-10(2:10)2014","mag":"1998912565"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-10(2:10)2014","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-10(2:10)2014","pdf_url":"https://lmcs.episciences.org/985/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/985/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086701100","display_name":"Everardo B\u00e1rcenas","orcid":"https://orcid.org/0000-0002-1523-1579"},"institutions":[{"id":"https://openalex.org/I4210125856","display_name":"Universidad Polit\u00e9cnica de Puebla","ror":"https://ror.org/02a3pzh97","country_code":"MX","type":"education","lineage":["https://openalex.org/I4210125856"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Everardo B\u00e1rcenas","raw_affiliation_strings":["Universidad Polit\u00e9cnica de Puebla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Polit\u00e9cnica de Puebla","institution_ids":["https://openalex.org/I4210125856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045857927","display_name":"Jes\u00fas Lavalle","orcid":null},"institutions":[{"id":"https://openalex.org/I721619","display_name":"Benem\u00e9rita Universidad Aut\u00f3noma de Puebla","ror":"https://ror.org/03p2z7827","country_code":"MX","type":"education","lineage":["https://openalex.org/I721619"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jes\u00fas Lavalle","raw_affiliation_strings":[", Benem\u00e9rita Universidad Aut\u00f3noma de Puebla"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":", Benem\u00e9rita Universidad Aut\u00f3noma de Puebla","institution_ids":["https://openalex.org/I721619"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086701100"],"corresponding_institution_ids":["https://openalex.org/I4210125856"],"apc_list":null,"apc_paid":null,"fwci":3.3031,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.91937887,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"Volume 10, Issue 2","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9983999729156494,"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/T10317","display_name":"Advanced Database Systems and Queries","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.7096881866455078},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6988232135772705},{"id":"https://openalex.org/keywords/xpath","display_name":"XPath","score":0.6518924236297607},{"id":"https://openalex.org/keywords/rotation-formalisms-in-three-dimensions","display_name":"Rotation formalisms in three dimensions","score":0.5339535474777222},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5208495259284973},{"id":"https://openalex.org/keywords/xml","display_name":"XML","score":0.46254655718803406},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.44814369082450867},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.340398907661438},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.327811598777771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2686287760734558},{"id":"https://openalex.org/keywords/xml-validation","display_name":"XML validation","score":0.15163159370422363}],"concepts":[{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7096881866455078},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6988232135772705},{"id":"https://openalex.org/C2780213375","wikidata":"https://www.wikidata.org/wiki/Q16340","display_name":"XPath","level":4,"score":0.6518924236297607},{"id":"https://openalex.org/C171018156","wikidata":"https://www.wikidata.org/wiki/Q7370306","display_name":"Rotation formalisms in three dimensions","level":2,"score":0.5339535474777222},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5208495259284973},{"id":"https://openalex.org/C8797682","wikidata":"https://www.wikidata.org/wiki/Q2115","display_name":"XML","level":2,"score":0.46254655718803406},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.44814369082450867},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.340398907661438},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.327811598777771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2686287760734558},{"id":"https://openalex.org/C55348073","wikidata":"https://www.wikidata.org/wiki/Q595926","display_name":"XML validation","level":3,"score":0.15163159370422363},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2168/lmcs-10(2:10)2014","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-10(2:10)2014","pdf_url":"https://lmcs.episciences.org/985/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1405.1295","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.1295","pdf_url":"https://arxiv.org/pdf/1405.1295","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:42c134b0e22c435d85cd0d2f4c3cd6d4","is_oa":true,"landing_page_url":"https://doaj.org/article/42c134b0e22c435d85cd0d2f4c3cd6d4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 10, Issue 2 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-10(2:10)2014","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-10(2:10)2014","pdf_url":"https://lmcs.episciences.org/985/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1998912565.pdf","grobid_xml":"https://content.openalex.org/works/W1998912565.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W109947125","https://openalex.org/W1494939852","https://openalex.org/W1501952738","https://openalex.org/W1503593284","https://openalex.org/W1604924060","https://openalex.org/W1608399088","https://openalex.org/W1769049963","https://openalex.org/W1973067954","https://openalex.org/W1982213843","https://openalex.org/W1987660690","https://openalex.org/W2022002457","https://openalex.org/W2046213250","https://openalex.org/W2052432706","https://openalex.org/W2059215363","https://openalex.org/W2105748890","https://openalex.org/W2107444004","https://openalex.org/W2113800199","https://openalex.org/W2114893507","https://openalex.org/W2124876285","https://openalex.org/W2126978970","https://openalex.org/W2134829074","https://openalex.org/W2146886516","https://openalex.org/W2157821258","https://openalex.org/W2168910152","https://openalex.org/W2294034341","https://openalex.org/W2949769483","https://openalex.org/W2951982224","https://openalex.org/W3101497863","https://openalex.org/W3116818763","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3185974462","https://openalex.org/W1585688349","https://openalex.org/W1554870463","https://openalex.org/W2111274946","https://openalex.org/W1555764847","https://openalex.org/W151996191","https://openalex.org/W2108990592","https://openalex.org/W1576014289","https://openalex.org/W1503508673","https://openalex.org/W2611046554"],"abstract_inverted_index":{"We":[0,61,81],"introduce":[1],"a":[2,36,120],"logical":[3],"foundation":[4],"to":[5,22],"reason":[6],"on":[7,12,26,53,95,99,105],"tree":[8,28],"structures":[9],"with":[10],"constraints":[11,25,76,94],"the":[13,33,41,45,64,74,84,87,90,116,134],"number":[14],"of":[15,35,86,92,122,126],"node":[16],"occurrences.":[17],"Related":[18],"formalisms":[19],"are":[20,77],"limited":[21],"express":[23,50],"occurrence":[24],"particular":[27],"regions,":[29],"as":[30,133,145],"for":[31,59,150],"instance":[32],"children":[34],"given":[37],"node.":[38],"By":[39],"contrast,":[40],"logic":[42,65,88,135],"introduced":[43],"in":[44,68,78,89],"present":[46],"work":[47],"can":[48,110,141],"concisely":[49,113],"numerical":[51,75,93,103],"bounds":[52],"any":[54],"region,":[55],"descendants":[56],"or":[57],"ancestors":[58],"instance.":[60],"prove":[62],"that":[63],"is":[66,136],"decidable":[67,123],"single":[69],"exponential":[70],"time":[71],"even":[72],"if":[73],"binary":[79],"form.":[80],"also":[82,111],"illustrate":[83],"usage":[85],"description":[91],"multi-directional":[96],"path":[97],"queries":[98,128],"XML":[100,130],"documents.":[101],"Furthermore,":[102],"restrictions":[104],"regular":[106],"languages":[107],"(XML":[108],"schemas)":[109],"be":[112,143],"described":[114],"by":[115],"logic.":[117],"This":[118],"implies":[119],"characterization":[121],"counting":[124],"extensions":[125],"XPath":[127],"and":[129,154],"schemas.":[131],"Moreover,":[132],"closed":[137],"under":[138],"negation,":[139],"it":[140],"thus":[142],"used":[144],"an":[146],"optimal":[147],"reasoning":[148],"framework":[149],"testing":[151],"emptiness,":[152],"containment":[153],"equivalence.":[155]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2016-06-24T00:00:00"}