{"id":"https://openalex.org/W3117628900","doi":"https://doi.org/10.46298/lmcs-18(3:1)2022","title":"Modal meet-implication logic","display_name":"Modal meet-implication logic","publication_year":2022,"publication_date":"2022-07-14","ids":{"openalex":"https://openalex.org/W3117628900","doi":"https://doi.org/10.46298/lmcs-18(3:1)2022","mag":"3117628900"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-18(3:1)2022","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-18(3:1)2022","pdf_url":"https://lmcs.episciences.org/9900/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/9900/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005713278","display_name":"Jim de Groot","orcid":"https://orcid.org/0000-0003-1375-6758"},"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":"Jim de Groot","raw_affiliation_strings":["The Australian National University, Canberra, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077171828","display_name":"Dirk Pattinson","orcid":"https://orcid.org/0000-0002-5832-6666"},"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":true,"raw_author_name":"Dirk Pattinson","raw_affiliation_strings":["The Australian National University, Canberra, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The Australian National University, Canberra, Australia","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077171828"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":0.1161,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.48723315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"Volume 18, 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":0.9998999834060669,"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":0.9998999834060669,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9994999766349792,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9976999759674072,"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/modal-logic","display_name":"Modal logic","score":0.7962204217910767},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.6917942762374878},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.666020929813385},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.6552548408508301},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.6272997260093689},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.6044846773147583},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.5569893717765808},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5513482093811035},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.5220403671264648},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48370200395584106},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.47962769865989685},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.4435380697250366},{"id":"https://openalex.org/keywords/zeroth-order-logic","display_name":"Zeroth-order logic","score":0.44153472781181335},{"id":"https://openalex.org/keywords/modal-\u03bc-calculus","display_name":"Modal \u03bc-calculus","score":0.4397917687892914},{"id":"https://openalex.org/keywords/well-formed-formula","display_name":"Well-formed formula","score":0.4364057779312134},{"id":"https://openalex.org/keywords/s5","display_name":"S5","score":0.43417006731033325},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.42516815662384033},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.41924503445625305},{"id":"https://openalex.org/keywords/modality","display_name":"Modality (human\u2013computer interaction)","score":0.41532328724861145},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4049249291419983},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3460376560688019},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2898276746273041},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.2863442301750183},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1871437430381775}],"concepts":[{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.7962204217910767},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.6917942762374878},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.666020929813385},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.6552548408508301},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.6272997260093689},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.6044846773147583},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.5569893717765808},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5513482093811035},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.5220403671264648},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48370200395584106},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.47962769865989685},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.4435380697250366},{"id":"https://openalex.org/C110039528","wikidata":"https://www.wikidata.org/wiki/Q8069651","display_name":"Zeroth-order logic","level":4,"score":0.44153472781181335},{"id":"https://openalex.org/C173125200","wikidata":"https://www.wikidata.org/wiki/Q5275729","display_name":"Modal \u03bc-calculus","level":5,"score":0.4397917687892914},{"id":"https://openalex.org/C191222856","wikidata":"https://www.wikidata.org/wiki/Q655328","display_name":"Well-formed formula","level":5,"score":0.4364057779312134},{"id":"https://openalex.org/C192609573","wikidata":"https://www.wikidata.org/wiki/Q7388341","display_name":"S5","level":5,"score":0.43417006731033325},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.42516815662384033},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.41924503445625305},{"id":"https://openalex.org/C2780226545","wikidata":"https://www.wikidata.org/wiki/Q6888030","display_name":"Modality (human\u2013computer interaction)","level":2,"score":0.41532328724861145},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4049249291419983},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3460376560688019},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2898276746273041},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.2863442301750183},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1871437430381775},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.46298/lmcs-18(3:1)2022","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-18(3:1)2022","pdf_url":"https://lmcs.episciences.org/9900/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:2012.13858","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.13858","pdf_url":"https://arxiv.org/pdf/2012.13858","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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:cf59fb25780b450396b1dbdab068fc16","is_oa":true,"landing_page_url":"https://doaj.org/article/cf59fb25780b450396b1dbdab068fc16","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 18, Issue 3 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-18(3:1)2022","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-18(3:1)2022","pdf_url":"https://lmcs.episciences.org/9900/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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3117628900.pdf","grobid_xml":"https://content.openalex.org/works/W3117628900.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W49329176","https://openalex.org/W127701250","https://openalex.org/W289783505","https://openalex.org/W1535513325","https://openalex.org/W1596067335","https://openalex.org/W1638060146","https://openalex.org/W1844544548","https://openalex.org/W2000571555","https://openalex.org/W2003770962","https://openalex.org/W2008228064","https://openalex.org/W2008795874","https://openalex.org/W2018517747","https://openalex.org/W2036781278","https://openalex.org/W2039904055","https://openalex.org/W2039928244","https://openalex.org/W2057022920","https://openalex.org/W2067638902","https://openalex.org/W2074025367","https://openalex.org/W2086961867","https://openalex.org/W2093516960","https://openalex.org/W2104178704","https://openalex.org/W2113947745","https://openalex.org/W2164343886","https://openalex.org/W2187936207","https://openalex.org/W2963047058","https://openalex.org/W3031573046","https://openalex.org/W3127289439","https://openalex.org/W4213277014","https://openalex.org/W4249997563","https://openalex.org/W4253556292","https://openalex.org/W4254219095","https://openalex.org/W4285719527","https://openalex.org/W4302314483","https://openalex.org/W7033314448"],"related_works":["https://openalex.org/W2077061463","https://openalex.org/W2352549085","https://openalex.org/W2015640848","https://openalex.org/W2278216746","https://openalex.org/W4387757795","https://openalex.org/W2766759918","https://openalex.org/W2140743943","https://openalex.org/W1969118410","https://openalex.org/W4256471199","https://openalex.org/W2053963560"],"abstract_inverted_index":{"We":[0,13,50],"extend":[1],"the":[2,65,71,74],"meet-implication":[3,75],"fragment":[4,41,76],"of":[5,27,42,46,73,77],"propositional":[6,78],"intuitionistic":[7,48,79],"logic":[8,53,80],"with":[9,23,81],"a":[10,20,24,31,38,43,55,60,82],"meet-preserving":[11],"modality.":[12],"give":[14],"semantics":[15],"based":[16],"on":[17],"semilattices":[18],"and":[19,36,58,85,88],"duality":[21],"result":[22],"suitable":[25],"notion":[26],"descriptive":[28],"frame.":[29],"As":[30],"consequence":[32,61],"we":[33,68],"obtain":[34,62],"completeness":[35,87],"identify":[37],"common":[39],"(modal)":[40],"large":[44],"class":[45],"modal":[47],"logics.":[49],"recognise":[51],"this":[52],"as":[54,59],"dialgebraic":[56,66],"logic,":[57],"expressivity-somewhere-else.":[63],"Within":[64],"framework,":[67],"then":[69],"investigate":[70],"extension":[72],"monotone":[83],"modality":[84],"prove":[86],"expressivity-somewhere-else":[89],"for":[90],"it.":[91]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2025-10-10T00:00:00"}