{"id":"https://openalex.org/W1964165611","doi":"https://doi.org/10.2168/lmcs-8(3:19)2012","title":"Wreath Products of Forest Algebras, with Applications to Tree Logics","display_name":"Wreath Products of Forest Algebras, with Applications to Tree Logics","publication_year":2012,"publication_date":"2012-09-19","ids":{"openalex":"https://openalex.org/W1964165611","doi":"https://doi.org/10.2168/lmcs-8(3:19)2012","mag":"1964165611"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-8(3:19)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:19)2012","pdf_url":"https://lmcs.episciences.org/1215/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/1215/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050056333","display_name":"Miko\u0142aj Boja\u0144czyk","orcid":"https://orcid.org/0000-0002-7758-1072"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mikolaj Bojanczyk","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064757019","display_name":"Igor Walukiewicz","orcid":null},"institutions":[{"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/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210142254","display_name":"Laboratoire Bordelais de Recherche en Informatique","ror":"https://ror.org/03adqg323","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210142254","https://openalex.org/I4210159245","https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Igor Walukiewicz","raw_affiliation_strings":["LaBRI (Universit de Bordeaux -CNRS)"],"affiliations":[{"raw_affiliation_string":"LaBRI (Universit de Bordeaux -CNRS)","institution_ids":["https://openalex.org/I15057530","https://openalex.org/I1294671590","https://openalex.org/I4210142254"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084561937","display_name":"Howard Straubing","orcid":null},"institutions":[{"id":"https://openalex.org/I103531236","display_name":"Boston College","ror":"https://ror.org/02n2fzt79","country_code":"US","type":"education","lineage":["https://openalex.org/I103531236"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Howard Straubing","raw_affiliation_strings":["Boston College"],"affiliations":[{"raw_affiliation_string":"Boston College","institution_ids":["https://openalex.org/I103531236"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050056333"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.4218,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.94133993,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"Volume 8, Issue 3","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.25769999623298645,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.25769999623298645,"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/T10142","display_name":"Formal Methods in Verification","score":0.21559999883174896,"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":0.18970000743865967,"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/mathematical-proof","display_name":"Mathematical proof","score":0.6850273013114929},{"id":"https://openalex.org/keywords/wreath-product","display_name":"Wreath product","score":0.5733047127723694},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.527891993522644},{"id":"https://openalex.org/keywords/ancestor","display_name":"Ancestor","score":0.4844684600830078},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4794803559780121},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.47809240221977234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.472461462020874},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4634627401828766},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4032590687274933},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36026349663734436},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21579647064208984},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19335660338401794},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.07029667496681213}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6850273013114929},{"id":"https://openalex.org/C95635736","wikidata":"https://www.wikidata.org/wiki/Q1786640","display_name":"Wreath product","level":3,"score":0.5733047127723694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.527891993522644},{"id":"https://openalex.org/C2780422015","wikidata":"https://www.wikidata.org/wiki/Q402152","display_name":"Ancestor","level":2,"score":0.4844684600830078},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4794803559780121},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.47809240221977234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.472461462020874},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4634627401828766},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4032590687274933},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36026349663734436},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21579647064208984},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19335660338401794},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.07029667496681213},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2168/lmcs-8(3:19)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:19)2012","pdf_url":"https://lmcs.episciences.org/1215/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:1208.6172","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.6172","pdf_url":"https://arxiv.org/pdf/1208.6172","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:HAL:hal-00962245v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00962245","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, 2012, 8 (3), pp.1-39. ⟨10.2168/LMCS-8(3:19)2012⟩","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:5cdbbadc51304f259610407358ec04a3","is_oa":true,"landing_page_url":"https://doaj.org/article/5cdbbadc51304f259610407358ec04a3","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"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 8, Issue 3 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-8(3:19)2012","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-8(3:19)2012","pdf_url":"https://lmcs.episciences.org/1215/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":[{"display_name":"Life in Land","score":0.7200000286102295,"id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G4052837117","display_name":null,"funder_award_id":"ANR 2010 BLAN 0202 01 FREC","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8751998101","display_name":"SHF: AF: Small: Algebraic Methods for the Study of Logics on Trees","funder_award_id":"0915065","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1964165611.pdf","grobid_xml":"https://content.openalex.org/works/W1964165611.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W200063938","https://openalex.org/W587223573","https://openalex.org/W1509363043","https://openalex.org/W1606781638","https://openalex.org/W1755189310","https://openalex.org/W1988683807","https://openalex.org/W2052706627","https://openalex.org/W2076872551","https://openalex.org/W2093913332","https://openalex.org/W2099655889","https://openalex.org/W2105140228","https://openalex.org/W2113885315","https://openalex.org/W2151686102","https://openalex.org/W2158212536"],"related_works":["https://openalex.org/W2180748061","https://openalex.org/W2384106458","https://openalex.org/W2002346849","https://openalex.org/W2808944898","https://openalex.org/W3042165818","https://openalex.org/W2380970557","https://openalex.org/W1933202316","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076"],"abstract_inverted_index":{"We":[0],"use":[1,51],"the":[2,14,27,37,41],"recently":[3],"developed":[4],"theory":[5],"of":[6,13,16,66],"forest":[7],"algebras":[8],"to":[9,50,53],"find":[10],"algebraic":[11],"characterizations":[12,42],"languages":[15,67],"unranked":[17],"trees":[18],"and":[19,31,33,59],"forests":[20],"definable":[21,70],"in":[22,44,71],"various":[23],"logics.":[24,73],"These":[25],"include":[26],"temporal":[28],"logics":[29],"CTL":[30],"EF,":[32],"first-order":[34],"logic":[35],"over":[36],"ancestor":[38],"relation.":[39],"While":[40],"are":[43,48,68],"general":[45],"non-effective,":[46],"we":[47],"able":[49],"them":[52],"formulate":[54],"necessary":[55],"conditions":[56],"for":[57],"definability":[58],"provide":[60],"new":[61],"proofs":[62],"that":[63],"a":[64],"number":[65],"not":[69],"these":[72]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}