{"id":"https://openalex.org/W2951033737","doi":"https://doi.org/10.46298/lmcs-17(3:2)2021","title":"A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic","display_name":"A Characterisation of Open Bisimilarity using an Intuitionistic Modal Logic","publication_year":2021,"publication_date":"2021-07-27","ids":{"openalex":"https://openalex.org/W2951033737","doi":"https://doi.org/10.46298/lmcs-17(3:2)2021","mag":"2951033737"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-17(3:2)2021","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-17(3:2)2021","pdf_url":"https://lmcs.episciences.org/7685/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":"preprint","indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/7685/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069304896","display_name":"Ki Yung Ahn","orcid":"https://orcid.org/0000-0002-7171-7979"},"institutions":[{"id":"https://openalex.org/I112728665","display_name":"Hannam University","ror":"https://ror.org/01cwbae71","country_code":"KR","type":"education","lineage":["https://openalex.org/I112728665"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Ki Yung Ahn","raw_affiliation_strings":["Department of Computer Engineering, Hannam University, Daejeon, Korea"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Hannam University, Daejeon, Korea","institution_ids":["https://openalex.org/I112728665"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087967629","display_name":"Ross Horne","orcid":"https://orcid.org/0000-0003-0162-1901"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Ross Horne","raw_affiliation_strings":["Computer Science, University of Luxembourg, Esch-sur-Alzette, Luxembourg","University of Luxembourg"],"affiliations":[{"raw_affiliation_string":"Computer Science, University of Luxembourg, Esch-sur-Alzette, Luxembourg","institution_ids":["https://openalex.org/I186903577"]},{"raw_affiliation_string":"University of Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071064651","display_name":"Alwen Tiu","orcid":"https://orcid.org/0000-0002-2695-5636"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Alwen Tiu","raw_affiliation_strings":["Research School of Computer Science, Australian National University, Canberra, Australia","AUSTRALIAN NATIONAL UNIVERSITY"],"affiliations":[{"raw_affiliation_string":"Research School of Computer Science, Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"AUSTRALIAN NATIONAL UNIVERSITY","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069304896"],"corresponding_institution_ids":["https://openalex.org/I112728665"],"apc_list":null,"apc_paid":null,"fwci":0.2799,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.60894347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"Volume 17, 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":0.998199999332428,"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":0.998199999332428,"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":0.996999979019165,"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":0.9962999820709229,"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/soundness","display_name":"Soundness","score":0.8723414540290833},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.7347623109817505},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.6857020258903503},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.655880331993103},{"id":"https://openalex.org/keywords/modal-operator","display_name":"Modal operator","score":0.5910035371780396},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.5449395179748535},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44775527715682983},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.43509313464164734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4321375787258148},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.4314265251159668},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39199766516685486},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3393089771270752},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33194106817245483},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.3062813878059387},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2631686329841614},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13955077528953552},{"id":"https://openalex.org/keywords/linear-logic","display_name":"Linear logic","score":0.11870074272155762}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8723414540290833},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.7347623109817505},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.6857020258903503},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.655880331993103},{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.5910035371780396},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.5449395179748535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44775527715682983},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.43509313464164734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4321375787258148},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.4314265251159668},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39199766516685486},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3393089771270752},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33194106817245483},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3062813878059387},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2631686329841614},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13955077528953552},{"id":"https://openalex.org/C28077239","wikidata":"https://www.wikidata.org/wiki/Q841728","display_name":"Linear logic","level":2,"score":0.11870074272155762},{"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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.46298/lmcs-17(3:2)2021","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-17(3:2)2021","pdf_url":"https://lmcs.episciences.org/7685/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:strathprints.strath.ac.uk:86851","is_oa":false,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/1501631.html>","pdf_url":null,"source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/288237","is_oa":true,"landing_page_url":"http://hdl.handle.net/1885/288237","pdf_url":"https://openresearch-repository.anu.edu.au/bitstreams/51b0f804-9136-4e3e-a649-b233a997c8fa/download","source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"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","raw_type":"Journal article"},{"id":"pmh:oai:doaj.org/article:8361c8b4147f4f4ea17c54947f964111","is_oa":true,"landing_page_url":"https://doaj.org/article/8361c8b4147f4f4ea17c54947f964111","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 17, Issue 3 (2021)","raw_type":"article"},{"id":"pmh:oai:orbilu.uni.lu:10993/50043","is_oa":true,"landing_page_url":"https://orbilu.uni.lu/handle/10993/50043","pdf_url":null,"source":{"id":"https://openalex.org/S4306401815","display_name":"Open Repository and Bibliography (University of Luxembourg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I186903577","host_organization_name":"University of Luxembourg","host_organization_lineage":["https://openalex.org/I186903577"],"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":"","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.1701.05324","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1701.05324","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:2951033737","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.46298/lmcs-17(3:2)2021","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-17(3:2)2021","pdf_url":"https://lmcs.episciences.org/7685/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":[{"id":"https://openalex.org/G3602240456","display_name":null,"funder_award_id":"678157","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"},{"id":"https://openalex.org/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2951033737.pdf","grobid_xml":"https://content.openalex.org/works/W2951033737.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W46734479","https://openalex.org/W186449447","https://openalex.org/W1488482916","https://openalex.org/W1678615379","https://openalex.org/W1699512023","https://openalex.org/W1955679363","https://openalex.org/W1961757151","https://openalex.org/W1978469611","https://openalex.org/W1980971812","https://openalex.org/W2001997240","https://openalex.org/W2002039618","https://openalex.org/W2002614013","https://openalex.org/W2015640848","https://openalex.org/W2022902269","https://openalex.org/W2025280888","https://openalex.org/W2027689693","https://openalex.org/W2032240173","https://openalex.org/W2042609207","https://openalex.org/W2104680392","https://openalex.org/W2106102830","https://openalex.org/W2122276128","https://openalex.org/W2128932399","https://openalex.org/W2133867632","https://openalex.org/W2143326093","https://openalex.org/W2294824106","https://openalex.org/W2332090212","https://openalex.org/W2493168904","https://openalex.org/W2498962322","https://openalex.org/W2522035104","https://openalex.org/W2528654130","https://openalex.org/W2615186128","https://openalex.org/W2617178387","https://openalex.org/W2733133693","https://openalex.org/W2798939849","https://openalex.org/W2899538562","https://openalex.org/W2914597273","https://openalex.org/W2918561041","https://openalex.org/W3214935373","https://openalex.org/W4206717895","https://openalex.org/W4391285994","https://openalex.org/W6602047748"],"related_works":["https://openalex.org/W3128849256","https://openalex.org/W2469202987","https://openalex.org/W2039904055","https://openalex.org/W3031573046","https://openalex.org/W1996474321","https://openalex.org/W2019935365","https://openalex.org/W1616838321","https://openalex.org/W1989423435","https://openalex.org/W2911688492","https://openalex.org/W2224519702","https://openalex.org/W2997148829","https://openalex.org/W3104252790","https://openalex.org/W2071208838","https://openalex.org/W187636597","https://openalex.org/W1536137640","https://openalex.org/W2142018979","https://openalex.org/W2570103566","https://openalex.org/W1570796240","https://openalex.org/W2592172680","https://openalex.org/W2100959423"],"abstract_inverted_index":{"Open":[0],"bisimilarity":[1,76,118],"is":[2,39,84,114],"defined":[3],"for":[4,74,98],"open":[5,21,69,75],"process":[6],"terms":[7],"in":[8,17,58,86],"which":[9,47,102],"free":[10,64],"variables":[11,65],"may":[12],"appear.":[13],"The":[14,32,71,88],"insight":[15],"is,":[16],"order":[18],"to":[19,25,79,109],"characterise":[20],"bisimilarity,":[22],"we":[23,103],"move":[24],"the":[26,60,92,110],"setting":[27],"of":[28,63,91,117],"intuitionistic":[29,33,53,81,125],"modal":[30,34,82,126],"logics.":[31,127],"logic":[35,59,83],"introduced,":[36],"called":[37],"$\\mathcal{OM}$,":[38],"such":[40],"that":[41,112,120],"modalities":[42],"are":[43],"closed":[44],"under":[45],"substitutions,":[46],"induces":[48],"a":[49,115],"property":[50],"known":[51],"as":[52],"hereditary.":[54],"Intuitionistic":[55],"hereditary":[56],"reflects":[57],"lazy":[61],"instantiation":[62],"performed":[66],"when":[67],"checking":[68],"bisimilarity.":[70],"soundness":[72],"proof":[73,94],"with":[77],"respect":[78],"our":[80],"mechanised":[85],"Abella.":[87],"constructive":[89],"content":[90],"completeness":[93],"provides":[95],"an":[96],"algorithm":[97],"generating":[99],"distinguishing":[100],"formulae,":[101],"have":[104],"implemented.":[105],"We":[106],"draw":[107],"attention":[108],"fact":[111],"there":[113],"spectrum":[116],"congruences":[119],"can":[121],"be":[122],"characterised":[123],"by":[124]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}