{"id":"https://openalex.org/W2282267783","doi":"https://doi.org/10.1093/logcom/exw018","title":"Implicit Kripke semantics and ultraproducts in stratified institutions","display_name":"Implicit Kripke semantics and ultraproducts in stratified institutions","publication_year":2016,"publication_date":"2016-06-18","ids":{"openalex":"https://openalex.org/W2282267783","doi":"https://doi.org/10.1093/logcom/exw018","mag":"2282267783"},"language":"en","primary_location":{"id":"doi:10.1093/logcom/exw018","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exw018","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/1602.05373","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004995921","display_name":"R\u0103zvan Diaconescu","orcid":"https://orcid.org/0000-0003-0428-236X"},"institutions":[{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"R\u0103zvan Diaconescu","raw_affiliation_strings":["'Simion Stoilow' Institute of Mathematics of the Romanian Academy, Bucharest, Romania"],"affiliations":[{"raw_affiliation_string":"'Simion Stoilow' Institute of Mathematics of the Romanian Academy, Bucharest, Romania","institution_ids":["https://openalex.org/I58077936"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004995921"],"corresponding_institution_ids":["https://openalex.org/I58077936"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.00653324,"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":"exw018","last_page":"exw018"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9991000294685364,"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":0.9987000226974487,"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":0.9883999824523926,"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/kripke-semantics","display_name":"Kripke semantics","score":0.8747087717056274},{"id":"https://openalex.org/keywords/kripke-structure","display_name":"Kripke structure","score":0.7821765542030334},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6763237118721008},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.6197463870048523},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6054197549819946},{"id":"https://openalex.org/keywords/ultraproduct","display_name":"Ultraproduct","score":0.6007084250450134},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.530840277671814},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.4490922689437866},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.42836159467697144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4258367717266083},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40922635793685913},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.406143456697464},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3937801718711853},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30424612760543823},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2880920171737671},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.18196198344230652},{"id":"https://openalex.org/keywords/temporal-logic","display_name":"Temporal logic","score":0.13400599360466003},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.1042264997959137},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07094144821166992}],"concepts":[{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.8747087717056274},{"id":"https://openalex.org/C161913894","wikidata":"https://www.wikidata.org/wiki/Q1077740","display_name":"Kripke structure","level":3,"score":0.7821765542030334},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6763237118721008},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.6197463870048523},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6054197549819946},{"id":"https://openalex.org/C167930466","wikidata":"https://www.wikidata.org/wiki/Q1535225","display_name":"Ultraproduct","level":2,"score":0.6007084250450134},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.530840277671814},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.4490922689437866},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.42836159467697144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4258367717266083},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40922635793685913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.406143456697464},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3937801718711853},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30424612760543823},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2880920171737671},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.18196198344230652},{"id":"https://openalex.org/C25016198","wikidata":"https://www.wikidata.org/wiki/Q781833","display_name":"Temporal logic","level":2,"score":0.13400599360466003},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.1042264997959137},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07094144821166992},{"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/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"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/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1093/logcom/exw018","is_oa":false,"landing_page_url":"https://doi.org/10.1093/logcom/exw018","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:1602.05373","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.05373","pdf_url":"https://arxiv.org/pdf/1602.05373","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":"","raw_type":"text"},{"id":"mag:2282267783","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1602.05373.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":"doi:10.48550/arxiv.1602.05373","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1602.05373","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:1602.05373","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1602.05373","pdf_url":"https://arxiv.org/pdf/1602.05373","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1265916763","display_name":null,"funder_award_id":"CNCS-UEFISCDI","funder_id":"https://openalex.org/F4320323444","funder_display_name":"Autoritatea National\u0103 pentru Cercetare Stiintific\u0103"},{"id":"https://openalex.org/G4124517103","display_name":null,"funder_award_id":"PN-II-ID-PCE-2011-3-0439","funder_id":"https://openalex.org/F4320323444","funder_display_name":"Autoritatea National\u0103 pentru Cercetare Stiintific\u0103"},{"id":"https://openalex.org/G5446915556","display_name":null,"funder_award_id":"UEFISCDI","funder_id":"https://openalex.org/F4320323444","funder_display_name":"Autoritatea National\u0103 pentru Cercetare Stiintific\u0103"},{"id":"https://openalex.org/G7430875941","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320323983","funder_display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii"}],"funders":[{"id":"https://openalex.org/F4320323444","display_name":"Autoritatea National\u0103 pentru Cercetare Stiintific\u0103","ror":"https://ror.org/03padf885"},{"id":"https://openalex.org/F4320323983","display_name":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii","ror":"https://ror.org/01q7jq182"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2282267783.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W30041542","https://openalex.org/W1485990531","https://openalex.org/W1531377243","https://openalex.org/W1576273408","https://openalex.org/W1991650963","https://openalex.org/W2005688979","https://openalex.org/W2010883554","https://openalex.org/W2017041211","https://openalex.org/W2052882335","https://openalex.org/W2088027070","https://openalex.org/W2117159510","https://openalex.org/W2131026203","https://openalex.org/W2135652513","https://openalex.org/W2163349468","https://openalex.org/W2169327191","https://openalex.org/W2170352409","https://openalex.org/W2220905346","https://openalex.org/W2261352303","https://openalex.org/W4211144022","https://openalex.org/W4233906803","https://openalex.org/W4239399053","https://openalex.org/W6631655130"],"related_works":["https://openalex.org/W2962877377","https://openalex.org/W1759871617","https://openalex.org/W2038216920","https://openalex.org/W1981170396","https://openalex.org/W1483655485","https://openalex.org/W2390392352","https://openalex.org/W1509441924","https://openalex.org/W1570796240","https://openalex.org/W1721572253","https://openalex.org/W2465223121","https://openalex.org/W1588790262","https://openalex.org/W2069376434","https://openalex.org/W2766759918","https://openalex.org/W2492922778","https://openalex.org/W2165522528","https://openalex.org/W1980172029","https://openalex.org/W1527720545","https://openalex.org/W2531526914","https://openalex.org/W2077519384","https://openalex.org/W3119769598"],"abstract_inverted_index":{"We":[0],"propose":[1],"stratified":[2,86],"institutions":[3,13,87],"(a":[4],"decade":[5],"old":[6],"generalised":[7],"version":[8],"of":[9,12,14,34,42,67,75,85,93,101,105,115],"the":[10,39,63,91,102,106],"theory":[11],"Goguen":[15],"and":[16],"Burstall)":[17],"as":[18],"a":[19,31,94,112],"fully":[20],"abstract":[21],"model":[22,35],"theoretic":[23,36],"approach":[24],"to":[25],"modal":[26,44,79,95,108,120],"logic.":[27],"This":[28],"allows":[29],"for":[30,78],"uniform":[32],"treatment":[33],"aspects":[37,66],"across":[38],"great":[40],"multiplicity":[41],"contemporary":[43],"logic":[45,80],"systems.":[46,81,110],"Moreover":[47],"Kripke":[48,69],"semantics":[49,77],"(in":[50],"all":[51],"its":[52],"manifold":[53],"variations)":[54],"is":[55,88,99],"captured":[56],"in":[57,118],"an":[58],"implicit":[59],"manner":[60],"free":[61],"from":[62],"sometimes":[64],"bulky":[65],"explicit":[68],"structures,":[70],"also":[71],"accommodating":[72],"other":[73],"forms":[74],"concrete":[76,103,119],"The":[82],"conceptual":[83],"power":[84],"illustrated":[89],"with":[90],"development":[92],"ultraproducts":[96],"method":[97],"that":[98],"independent":[100],"details":[104],"actual":[107],"logical":[109],"Consequently,":[111],"wide":[113],"array":[114],"compactness":[116],"results":[117],"logics":[121],"may":[122],"be":[123],"derived":[124],"easily.":[125]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
