{"id":"https://openalex.org/W2590154423","doi":"https://doi.org/10.2168/lmcs-4(2:7)2008","title":"On the Expressiveness and Complexity of ATL","display_name":"On the Expressiveness and Complexity of ATL","publication_year":2008,"publication_date":"2008-05-15","ids":{"openalex":"https://openalex.org/W2590154423","doi":"https://doi.org/10.2168/lmcs-4(2:7)2008","mag":"2590154423"},"language":"en","primary_location":{"id":"doi:10.2168/lmcs-4(2:7)2008","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-4(2:7)2008","pdf_url":"https://lmcs.episciences.org/826/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/826/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Francois Laroussinie","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Francois Laroussinie","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"Nicolas Markey","orcid":"https://orcid.org/0000-0003-1977-7525"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nicolas Markey","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Ghassan Oreiby","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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ghassan Oreiby","raw_affiliation_strings":["LSV, ENS Cachan & CNRS, France"],"affiliations":[{"raw_affiliation_string":"LSV, ENS Cachan & CNRS, France","institution_ids":["https://openalex.org/I11559806","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1809,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.86329168,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"Volume 4, 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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.5792999863624573,"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":0.5792999863624573,"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":0.26019999384880066,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.11840000003576279,"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/dual-polyhedron","display_name":"Dual polyhedron","score":0.7613999843597412},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal logic","score":0.5724999904632568},{"id":"https://openalex.org/keywords/modality","display_name":"Modality (human\u2013computer interaction)","score":0.5213000178337097},{"id":"https://openalex.org/keywords/modalities","display_name":"Modalities","score":0.47200000286102295},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4049000144004822},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.3240000009536743},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.32280001044273376}],"concepts":[{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.7613999843597412},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7196000218391418},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.6051999926567078},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.5724999904632568},{"id":"https://openalex.org/C2780226545","wikidata":"https://www.wikidata.org/wiki/Q6888030","display_name":"Modality (human\u2013computer interaction)","level":2,"score":0.5213000178337097},{"id":"https://openalex.org/C2779903281","wikidata":"https://www.wikidata.org/wiki/Q6888026","display_name":"Modalities","level":2,"score":0.47200000286102295},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4049000144004822},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3407999873161316},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.3240000009536743},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.32280001044273376},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.32170000672340393},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.30869999527931213},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.3012999892234802},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27639999985694885},{"id":"https://openalex.org/C2987117450","wikidata":"https://www.wikidata.org/wiki/Q275603","display_name":"Logic program","level":3,"score":0.26759999990463257},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.25130000710487366}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.2168/lmcs-4(2:7)2008","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-4(2:7)2008","pdf_url":"https://lmcs.episciences.org/826/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:0804.2435","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0804.2435","pdf_url":"https://arxiv.org/pdf/0804.2435","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-01194598v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01194598","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":"Logical Methods in Computer Science, 2008, 4 (2\\string:7), pp.1. &#x27E8;10.2168/LMCS-4(2:7)2008&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:8090de8c1ba94b60940aedddce7a4163","is_oa":true,"landing_page_url":"https://doaj.org/article/8090de8c1ba94b60940aedddce7a4163","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 4, Issue 2 (2008)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2168/lmcs-4(2:7)2008","is_oa":true,"landing_page_url":"https://doi.org/10.2168/lmcs-4(2:7)2008","pdf_url":"https://lmcs.episciences.org/826/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":[{"id":"https://openalex.org/F4320322263","display_name":"Conseil R\u00e9gional, \u00cele-de-France","ror":"https://ror.org/04ry1rt27"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2590154423.pdf","grobid_xml":"https://content.openalex.org/works/W2590154423.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1593428110","https://openalex.org/W1982773655","https://openalex.org/W2016203775","https://openalex.org/W2101008381","https://openalex.org/W2117189826","https://openalex.org/W2160254449","https://openalex.org/W2161880503"],"related_works":[],"abstract_inverted_index":{"ATL":[0,46,124],"is":[1,61,68,140],"a":[2,33],"temporal":[3],"logic":[4],"geared":[5],"towards":[6],"the":[7,21,43,57,75,86,120,134,145],"specification":[8],"and":[9,52,71,80,103,107,130],"verification":[10],"of":[11,23,27,45,59,92,123,136],"properties":[12],"in":[13,29],"multi-agents":[14],"systems.":[15],"It":[16],"allows":[17],"to":[18,31,142],"reason":[19],"on":[20,74,126],"existence":[22],"strategies":[24],"for":[25,89],"coalitions":[26],"agents":[28,60],"order":[30],"enforce":[32],"given":[34],"property.":[35],"In":[36],"this":[37],"paper,":[38],"we":[39],"first":[40],"precisely":[41],"characterize":[42],"complexity":[44],"model-checking":[47],"over":[48],"Alternating":[49],"Transition":[50],"Systems":[51],"Concurrent":[53],"Game":[54],"Structures":[55],"when":[56],"number":[58],"not":[62],"fixed.":[63],"We":[64,83,94,99,116],"prove":[65,118],"that":[66,119],"it":[67,139],"\\Delta^P_2":[69],"-":[70],"\\Delta^P_?_3-complete,":[72],"depending":[73],"underlying":[76],"multi-agent":[77],"model":[78],"(ATS":[79],"CGS":[81,104],"resp.).":[82],"also":[84,117],"consider":[85,96],"same":[87],"problems":[88],"some":[90],"extensions":[91],"ATL.":[93],"then":[95],"expressiveness":[97],"issues.":[98],"show":[100],"how":[101],"ATS":[102],"are":[105],"related":[106],"provide":[108],"translations":[109],"between":[110],"these":[111],"models":[112],"w.r.t.":[113],"alternating":[114],"bisimulation.":[115],"standard":[121],"definition":[122],"(built":[125],"modalities":[127],"\"Next\",":[128],"\"Always\"":[129],"\"Until\")":[131],"cannot":[132],"express":[133],"duals":[135],"its":[137],"modalities:":[138],"necessary":[141],"explicitely":[143],"add":[144],"modality":[146],"\"Release\".":[147]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2017-03-03T00:00:00"}
