{"id":"https://openalex.org/W1984739310","doi":"https://doi.org/10.1145/2603088.2603101","title":"Weak MSO","display_name":"Weak MSO","publication_year":2014,"publication_date":"2014-07-14","ids":{"openalex":"https://openalex.org/W1984739310","doi":"https://doi.org/10.1145/2603088.2603101","mag":"1984739310"},"language":"en","primary_location":{"id":"doi:10.1145/2603088.2603101","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2603088.2603101","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046118099","display_name":"Facundo Carreiro","orcid":null},"institutions":[{"id":"https://openalex.org/I13089092","display_name":"Amsterdam University College","ror":"https://ror.org/03dpjfc73","country_code":"NL","type":"education","lineage":["https://openalex.org/I13089092"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Facundo Carreiro","raw_affiliation_strings":["U. Amsterdam"],"affiliations":[{"raw_affiliation_string":"U. Amsterdam","institution_ids":["https://openalex.org/I13089092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034206752","display_name":"Alessandro Facchini","orcid":"https://orcid.org/0000-0001-7507-116X"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Alessandro Facchini","raw_affiliation_strings":["U. Warsaw"],"affiliations":[{"raw_affiliation_string":"U. Warsaw","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105920523","display_name":"Yde Venema","orcid":null},"institutions":[{"id":"https://openalex.org/I13089092","display_name":"Amsterdam University College","ror":"https://ror.org/03dpjfc73","country_code":"NL","type":"education","lineage":["https://openalex.org/I13089092"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Yde Venema","raw_affiliation_strings":["U. Amsterdam"],"affiliations":[{"raw_affiliation_string":"U. Amsterdam","institution_ids":["https://openalex.org/I13089092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016173850","display_name":"Fabio Zanasi","orcid":"https://orcid.org/0000-0001-6457-1345"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"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":"Fabio Zanasi","raw_affiliation_strings":["ENS Lyon, U. Lyon, CNRS, INRIA, UCBL","ENS Lyon, U. Lyon, CNRS, INRIA, UCBL#TAB#"],"affiliations":[{"raw_affiliation_string":"ENS Lyon, U. Lyon, CNRS, INRIA, UCBL","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1326498283","https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"ENS Lyon, U. Lyon, CNRS, INRIA, UCBL#TAB#","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1326498283","https://openalex.org/I1294671590","https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046118099"],"corresponding_institution_ids":["https://openalex.org/I13089092"],"apc_list":null,"apc_paid":null,"fwci":1.1029,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.77128954,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"27"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994000196456909,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9980999827384949,"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/bisimulation","display_name":"Bisimulation","score":0.6506704092025757},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.5980563759803772},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5979068875312805},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5759551525115967},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5332908630371094},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5066326260566711},{"id":"https://openalex.org/keywords/modal-\u03bc-calculus","display_name":"Modal \u03bc-calculus","score":0.48031917214393616},{"id":"https://openalex.org/keywords/expressive-power","display_name":"Expressive power","score":0.4717491567134857},{"id":"https://openalex.org/keywords/second-order-logic","display_name":"Second-order logic","score":0.46519768238067627},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4478156566619873},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4425329864025116},{"id":"https://openalex.org/keywords/monadic-predicate-calculus","display_name":"Monadic predicate calculus","score":0.43718421459198},{"id":"https://openalex.org/keywords/first-order-logic","display_name":"First-order logic","score":0.41833069920539856},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.318649560213089},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27363258600234985},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24369147419929504},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.2228626310825348},{"id":"https://openalex.org/keywords/higher-order-logic","display_name":"Higher-order logic","score":0.16829529404640198},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.16474884748458862},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.10509070754051208}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.6506704092025757},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.5980563759803772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5979068875312805},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5759551525115967},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5332908630371094},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5066326260566711},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.48031917214393616},{"id":"https://openalex.org/C195818886","wikidata":"https://www.wikidata.org/wiki/Q5421724","display_name":"Expressive power","level":2,"score":0.4717491567134857},{"id":"https://openalex.org/C144791301","wikidata":"https://www.wikidata.org/wiki/Q1548746","display_name":"Second-order logic","level":4,"score":0.46519768238067627},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4478156566619873},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4425329864025116},{"id":"https://openalex.org/C124656256","wikidata":"https://www.wikidata.org/wiki/Q6897882","display_name":"Monadic predicate calculus","level":4,"score":0.43718421459198},{"id":"https://openalex.org/C100481476","wikidata":"https://www.wikidata.org/wiki/Q4055684","display_name":"First-order logic","level":2,"score":0.41833069920539856},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.318649560213089},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27363258600234985},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24369147419929504},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.2228626310825348},{"id":"https://openalex.org/C169896238","wikidata":"https://www.wikidata.org/wiki/Q1644136","display_name":"Higher-order logic","level":3,"score":0.16829529404640198},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.16474884748458862},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.10509070754051208},{"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/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1145/2603088.2603101","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2603088.2603101","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS)","raw_type":"proceedings-article"},{"id":"pmh:oai:dare.uva.nl:openaire_cris_publications/98d28fdf-9726-4e98-8110-6dd84fa19169","is_oa":false,"landing_page_url":"https://dare.uva.nl/personal/pure/en/publications/weak-mso-automata-and-expressiveness-modulo-bisimilarity(98d28fdf-9726-4e98-8110-6dd84fa19169).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Carreiro, F, Facchini, A, Venema, Y & Zanasi, F 2014, Weak MSO: automata and expressiveness modulo bisimilarity. in Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS) : Vienna, Austria - July 14-18, 2014., 27, New York, NY, CSL-LICS, 1/01/14. https://doi.org/10.1145/2603088.2603101","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:cris.unibo.it:11585/904972","is_oa":false,"landing_page_url":"https://hdl.handle.net/11585/904972","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"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":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:dare.uva.nl:publications/98d28fdf-9726-4e98-8110-6dd84fa19169","is_oa":false,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/weak-mso-automata-and-expressiveness-modulo-bisimilarity(98d28fdf-9726-4e98-8110-6dd84fa19169).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Carreiro, F, Facchini, A, Venema, Y & Zanasi, F 2014, Weak MSO: automata and expressiveness modulo bisimilarity. in Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS) : Vienna, Austria - July 14-18, 2014., 27, New York, NY, CSL-LICS, 1/01/14. https://doi.org/10.1145/2603088.2603101","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1576702572","https://openalex.org/W1600071783","https://openalex.org/W1606933801","https://openalex.org/W1664983908","https://openalex.org/W1778829768","https://openalex.org/W1989945465","https://openalex.org/W1996207810","https://openalex.org/W2029611280","https://openalex.org/W2087756506","https://openalex.org/W2096500204","https://openalex.org/W2113800199","https://openalex.org/W2170933628","https://openalex.org/W2184508846","https://openalex.org/W2502103274","https://openalex.org/W2800769424","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2216181672","https://openalex.org/W2083896385","https://openalex.org/W4386167681","https://openalex.org/W1049919373","https://openalex.org/W2086275630","https://openalex.org/W1980692207","https://openalex.org/W1481876218","https://openalex.org/W2585873599","https://openalex.org/W2008235772","https://openalex.org/W1481219952"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,35,81,96],"the":[3,15,18,22,25,55,83],"bisimulation-invariant":[4],"fragment":[5,16],"of":[6,17,24,52,58,63,70,77,85,107,111,115],"weak":[7],"monadic":[8],"second-order":[9],"logic":[10,79,87],"(WMSO)":[11],"is":[12,30,42,73,82],"equivalent":[13],"to":[14,32],"modal":[19],"\u03bc-calculus":[20],"where":[21,93],"application":[23],"least":[26],"fixpoint":[27],"operator":[28],"\u03bcp.\u03d5":[29],"restricted":[31],"formulas":[33],"\u03d5":[34],"are":[36,98],"continuous":[37],"in":[38,44,46,75],"p.":[39],"Our":[40],"proof":[41],"automata-theoretic":[43],"nature;":[45],"particular,":[47],"we":[48],"introduce":[49],"a":[50,78,89,112],"class":[51],"automata":[53,72],"characterizing":[54],"expressive":[56],"power":[57],"WMSO":[59],"over":[60],"tree":[61],"models":[62],"arbitrary":[64],"branching":[65],"degree.":[66],"The":[67],"transition":[68],"map":[69],"these":[71],"defined":[74],"terms":[76],"FOE1\u221e":[80],"extension":[84],"first-order":[86],"with":[88],"generalized":[90],"quantifier":[91],"\u2203\u221e,":[92],"\u2203\u221ex.\u03d5":[94],"means":[95],"there":[97],"infinitely":[99],"many":[100],"objects":[101],"satisfying":[102],"\u03d5.":[103],"An":[104],"important":[105],"part":[106],"our":[108],"work":[109],"consists":[110],"model-theoretic":[113],"analysis":[114],"FOE1\u221e.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-17T09:09:15.849793","created_date":"2016-06-24T00:00:00"}