{"id":"https://openalex.org/W12426423","doi":"https://doi.org/10.1093/logcom/exw011","title":"Dual characterizations for finite lattices via correspondence theory for monotone modal logic","display_name":"Dual characterizations for finite lattices via correspondence theory for monotone modal logic","publication_year":2016,"publication_date":"2016-05-25","ids":{"openalex":"https://openalex.org/W12426423","doi":"https://doi.org/10.1093/logcom/exw011","mag":"12426423"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exw011","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exw011","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1408.1843","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048130519","display_name":"Sabine Frittella","orcid":"https://orcid.org/0000-0003-4736-8614"},"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/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["FR","NL"],"is_corresponding":true,"raw_author_name":"Sabine Frittella","raw_affiliation_strings":["LIF, Aix-Marseille Universit\u00e9, CNRS UMR 7279, France; Faculty of Technology, Policy and Management, Delft University of Technology, The Netherlands"],"affiliations":[{"raw_affiliation_string":"LIF, Aix-Marseille Universit\u00e9, CNRS UMR 7279, France; Faculty of Technology, Policy and Management, Delft University of Technology, The Netherlands","institution_ids":["https://openalex.org/I98358874","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047149000","display_name":"Alessandra Palmigiano","orcid":"https://orcid.org/0000-0001-9656-7527"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Alessandra Palmigiano","raw_affiliation_strings":["Faculty of Technology, Policy and Management, Delft University of Technology, The Netherlands; Department of Pure and Applied Mathematics, University of Johannesburg, South Africa"],"affiliations":[{"raw_affiliation_string":"Faculty of Technology, Policy and Management, Delft University of Technology, The Netherlands; Department of Pure and Applied Mathematics, University of Johannesburg, South Africa","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049300785","display_name":"Luigi Santocanale","orcid":"https://orcid.org/0000-0002-4237-7856"},"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/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Luigi Santocanale","raw_affiliation_strings":["LIF, Aix-Marseille Universit\u00e9, CNRS UMR 7279, France"],"affiliations":[{"raw_affiliation_string":"LIF, Aix-Marseille Universit\u00e9, CNRS UMR 7279, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048130519"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I98358874"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.7237,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73136848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"exw011","last_page":"exw011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9519000053405762,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9519000053405762,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9510999917984009,"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":0.9283000230789185,"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/monotone-polygon","display_name":"Monotone polygon","score":0.7095103859901428},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.693581223487854},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6530270576477051},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.527061939239502},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.5135693550109863},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.4925759434700012},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.4735371768474579},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.4642435312271118},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4565200209617615},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.45342162251472473},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44756144285202026},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.4315168261528015},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38701343536376953},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3811624348163605}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7095103859901428},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.693581223487854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6530270576477051},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.527061939239502},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.5135693550109863},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.4925759434700012},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.4735371768474579},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.4642435312271118},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4565200209617615},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.45342162251472473},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44756144285202026},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.4315168261528015},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38701343536376953},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3811624348163605},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1093/logcom/exw011","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exw011","pdf_url":null,"source":{"id":"https://openalex.org/S47057106","display_name":"Journal of Logic and Computation","issn_l":"0955-792X","issn":["0955-792X","1465-363X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Logic and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1408.1843","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.1843","pdf_url":"https://arxiv.org/pdf/1408.1843","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":"mag:12426423","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1408.1843.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:HAL:hal-01054715v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01054715","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":"https://academic.oup.com/logcom/article-abstract/doi/10.1093/logcom/exw011/2917872/Dual-characterizations-for-finite-lattices-via?keytype=ref&ijkey=9VLzEFMl0EE1jjs","raw_type":"Journal articles"},{"id":"doi:10.48550/arxiv.1408.1843","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1408.1843","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1408.1843","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1408.1843","pdf_url":"https://arxiv.org/pdf/1408.1843","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"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W289783505","https://openalex.org/W1542377963","https://openalex.org/W1547536896","https://openalex.org/W1970051856","https://openalex.org/W1992205482","https://openalex.org/W2037305617","https://openalex.org/W2041784286","https://openalex.org/W2057503265","https://openalex.org/W2316998098","https://openalex.org/W2589791210","https://openalex.org/W2591469304","https://openalex.org/W2950450725","https://openalex.org/W4211144022","https://openalex.org/W4242798172","https://openalex.org/W4254880666"],"related_works":["https://openalex.org/W2963033294","https://openalex.org/W2274584817","https://openalex.org/W2009819089","https://openalex.org/W2897579049","https://openalex.org/W3113072655","https://openalex.org/W2047469465","https://openalex.org/W3172807740","https://openalex.org/W1807413456","https://openalex.org/W3138463883","https://openalex.org/W2952074926","https://openalex.org/W3173971361","https://openalex.org/W2742112337","https://openalex.org/W2065004139","https://openalex.org/W2499743893","https://openalex.org/W1997422883","https://openalex.org/W2792508923","https://openalex.org/W1752431025","https://openalex.org/W1543944822","https://openalex.org/W2999624213","https://openalex.org/W3200186909"],"abstract_inverted_index":{"We":[0],"establish":[1],"a":[2,22,60],"formal":[3,35],"connection":[4,36],"between":[5],"algorithmic":[6],"correspondence":[7,47],"theory":[8],"and":[9,57],"certain":[10,61],"dual":[11],"characterization":[12,20],"results":[13],"for":[14],"finite":[15,27,31,65],"lattices,":[16,28],"similar":[17],"to":[18,50,71],"Nation's":[19],"of":[21,24,26,53,64],"hierarchy":[23],"pseudovarieties":[25],"progressively":[29],"generalizing":[30],"distributive":[32],"lattices.":[33],"This":[34],"is":[37],"mediated":[38],"through":[39],"monotone":[40,54,68,78],"modal":[41,55,79],"logic.":[42,80],"Indeed,":[43],"we":[44,58],"adapt":[45],"the":[46,51],"algorithm":[48],"ALBA":[49],"setting":[52],"logic,":[56],"use":[59],"duality-induced":[62],"encoding":[63],"lattices":[66],"as":[67],"neighbourhood":[69],"frames":[70],"translate":[72],"lattice":[73],"terms":[74],"into":[75],"formulas":[76],"in":[77]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}