{"id":"https://openalex.org/W1759871617","doi":"https://doi.org/10.1016/s1570-2464(07)80004-8","title":"1 Modal logic: a semantic perspective","display_name":"1 Modal logic: a semantic perspective","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1759871617","doi":"https://doi.org/10.1016/s1570-2464(07)80004-8","mag":"1759871617"},"language":"en","primary_location":{"id":"doi:10.1016/s1570-2464(07)80004-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1570-2464(07)80004-8","pdf_url":null,"source":{"id":"https://openalex.org/S71695317","display_name":"Studies in logic and practical reasoning","issn_l":"1570-2464","issn":["1570-2464","2212-1137"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Logic and Practical Reasoning","raw_type":"book-chapter"},"type":"book-chapter","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/A5044128824","display_name":"Patrick Blackburn","orcid":"https://orcid.org/0000-0001-9345-552X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Patrick Blackburn","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083214023","display_name":"Johan van Benthem","orcid":"https://orcid.org/0000-0002-7048-785X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Johan Van Benthem","raw_affiliation_strings":["Stanford University"],"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":null,"display_name":"H Andrka","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H Andrka","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"I Hodkinson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I Hodkinson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"I Nmeti","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I Nmeti","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"H Andrka","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H Andrka","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"J Van Benthem","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J Van Benthem","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"I Nmeti","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I Nmeti","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"C Areces","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"C Areces","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"P Blackburn","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P Blackburn","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M Marx","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Marx","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"J Burgess","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J Burgess","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M De Rijke","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M De Rijke","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"H.-D Ebbinghaus","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H.-D Ebbinghaus","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"J Flum","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J Flum","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"E Emerson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E Emerson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"R Jutla","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R Jutla","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"K Fine","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K Fine","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M Fischer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Fischer","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"R Ladner","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R Ladner","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M Fischer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Fischer","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"R Ladner","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R Ladner","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"N Friedman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N Friedman","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"J Halpern","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J Halpern","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"D Gabbay","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D Gabbay","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"A Pnueli","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A Pnueli","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"S Shelah","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S Shelah","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"J Stavi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J Stavi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"P Grdenfors","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P Grdenfors","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"H Rott","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"H Rott","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"V Goranko","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V Goranko","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"S Passy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S Passy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"E Grdel","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E Grdel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"E Grdel","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E Grdel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"I Walukiewicz","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I Walukiewicz","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"E Hemaspaandra","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E Hemaspaandra","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"I Hodkinson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I Hodkinson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"I Hodkinson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I Hodkinson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M Otto","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Otto","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"E Hoogland","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E Hoogland","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M Marx","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Marx","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"E Hoogland","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E Hoogland","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M Marx","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Marx","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M Otto","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Otto","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"D Janin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D Janin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"I Walukiewicz","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I Walukiewicz","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"D Kozen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D Kozen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"D Kozen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D Kozen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"R Parikh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R Parikh","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"N Kurtonina","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N Kurtonina","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M De Rijke","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M De Rijke","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"P Lindstrm","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P Lindstrm","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M Marx","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Marx","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"S Passy","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"S Passy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"T Tinchev","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"T Tinchev","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"V Pratt","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V Pratt","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"V Pratt","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V Pratt","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"M Ryan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Ryan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"P Schobbens","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P Schobbens","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"R Street","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R Street","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"E Emerson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"E Emerson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":null,"display_name":"J Van Benthem","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J Van Benthem","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"M Vardi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M Vardi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":63,"corresponding_author_ids":["https://openalex.org/A5044128824"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.167,"has_fulltext":true,"cited_by_count":142,"citation_normalized_percentile":{"value":0.975802,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"84"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9979000091552734,"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":0.9973999857902527,"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/multimodal-logic","display_name":"Multimodal logic","score":0.76396644115448},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.6290614604949951},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.6150140166282654},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6128523945808411},{"id":"https://openalex.org/keywords/s5","display_name":"S5","score":0.5712845921516418},{"id":"https://openalex.org/keywords/kripke-semantics","display_name":"Kripke semantics","score":0.567273736000061},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.5451294183731079},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5077022314071655},{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.504721999168396},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.401321142911911},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.3947761654853821},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.35191550850868225},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3370153605937958},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3342827260494232}],"concepts":[{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.76396644115448},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.6290614604949951},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.6150140166282654},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6128523945808411},{"id":"https://openalex.org/C192609573","wikidata":"https://www.wikidata.org/wiki/Q7388341","display_name":"S5","level":5,"score":0.5712845921516418},{"id":"https://openalex.org/C160131679","wikidata":"https://www.wikidata.org/wiki/Q2462350","display_name":"Kripke semantics","level":4,"score":0.567273736000061},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.5451294183731079},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5077022314071655},{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.504721999168396},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.401321142911911},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.3947761654853821},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.35191550850868225},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3370153605937958},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3342827260494232},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"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":5,"locations":[{"id":"doi:10.1016/s1570-2464(07)80004-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1570-2464(07)80004-8","pdf_url":null,"source":{"id":"https://openalex.org/S71695317","display_name":"Studies in logic and practical reasoning","issn_l":"1570-2464","issn":["1570-2464","2212-1137"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Studies in Logic and Practical Reasoning","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.101.6370","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.101.6370","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://staff.science.uva.nl/~johan/hml-blackburnvanbenthem.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.144.5395","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.5395","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.loria.fr/~blackbur/papers/hb.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.64.7578","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.64.7578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.illc.uva.nl/Publications/ResearchReports/PP-2006-30.text.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00119856v1","is_oa":false,"landing_page_url":"https://inria.hal.science/inria-00119856","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Patrick Blackburn, Johan van Benthem, Frank Wolter. Handbook of Modal Logic, Elsevier, pp.1-82, 2006, 0-444-51690-5","raw_type":"Book sections"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":194,"referenced_works":["https://openalex.org/W5268957","https://openalex.org/W5642659","https://openalex.org/W69348146","https://openalex.org/W73013951","https://openalex.org/W78460491","https://openalex.org/W83558678","https://openalex.org/W102788636","https://openalex.org/W139763282","https://openalex.org/W143925898","https://openalex.org/W193724012","https://openalex.org/W251225716","https://openalex.org/W957426456","https://openalex.org/W1480314582","https://openalex.org/W1482193060","https://openalex.org/W1483892218","https://openalex.org/W1485574327","https://openalex.org/W1489300317","https://openalex.org/W1489496002","https://openalex.org/W1500853111","https://openalex.org/W1502739147","https://openalex.org/W1503647529","https://openalex.org/W1512750313","https://openalex.org/W1514031480","https://openalex.org/W1515624532","https://openalex.org/W1516108562","https://openalex.org/W1516748551","https://openalex.org/W1518920403","https://openalex.org/W1522945997","https://openalex.org/W1527588453","https://openalex.org/W1527720545","https://openalex.org/W1547562281","https://openalex.org/W1549614276","https://openalex.org/W1552580535","https://openalex.org/W1566708570","https://openalex.org/W1574129634","https://openalex.org/W1580085838","https://openalex.org/W1583171028","https://openalex.org/W1596067335","https://openalex.org/W1600379495","https://openalex.org/W1600958215","https://openalex.org/W1601991083","https://openalex.org/W1778829768","https://openalex.org/W1800533175","https://openalex.org/W1864286575","https://openalex.org/W1895867211","https://openalex.org/W1931640759","https://openalex.org/W1965449504","https://openalex.org/W1965611063","https://openalex.org/W1966911791","https://openalex.org/W1967423913","https://openalex.org/W1969285530","https://openalex.org/W1972560931","https://openalex.org/W1974866079","https://openalex.org/W1976307763","https://openalex.org/W1979514837","https://openalex.org/W1980738498","https://openalex.org/W1983453585","https://openalex.org/W1991153667","https://openalex.org/W1991402517","https://openalex.org/W1991650963","https://openalex.org/W1991981864","https://openalex.org/W1992205482","https://openalex.org/W1992702120","https://openalex.org/W1994143452","https://openalex.org/W2003017965","https://openalex.org/W2003342487","https://openalex.org/W2004334891","https://openalex.org/W2004532354","https://openalex.org/W2010611844","https://openalex.org/W2015640848","https://openalex.org/W2017025480","https://openalex.org/W2018462672","https://openalex.org/W2038216920","https://openalex.org/W2046213250","https://openalex.org/W2046358127","https://openalex.org/W2046750700","https://openalex.org/W2047868398","https://openalex.org/W2050527500","https://openalex.org/W2055092188","https://openalex.org/W2061438988","https://openalex.org/W2064114373","https://openalex.org/W2064773636","https://openalex.org/W2066949643","https://openalex.org/W2067202258","https://openalex.org/W2068458083","https://openalex.org/W2069709605","https://openalex.org/W2071369407","https://openalex.org/W2074944668","https://openalex.org/W2075277371","https://openalex.org/W2078944436","https://openalex.org/W2080267935","https://openalex.org/W2081329681","https://openalex.org/W2083129093","https://openalex.org/W2083398633","https://openalex.org/W2088302563","https://openalex.org/W2098171268","https://openalex.org/W2099251677","https://openalex.org/W2100973247","https://openalex.org/W2103953153","https://openalex.org/W2105505307","https://openalex.org/W2112476716","https://openalex.org/W2113800199","https://openalex.org/W2115136657","https://openalex.org/W2116809109","https://openalex.org/W2118313805","https://openalex.org/W2121375212","https://openalex.org/W2121827343","https://openalex.org/W2122473064","https://openalex.org/W2124325155","https://openalex.org/W2126382654","https://openalex.org/W2130098903","https://openalex.org/W2136147947","https://openalex.org/W2143434754","https://openalex.org/W2144185328","https://openalex.org/W2146819619","https://openalex.org/W2148868461","https://openalex.org/W2149736013","https://openalex.org/W2151784388","https://openalex.org/W2153036557","https://openalex.org/W2153417525","https://openalex.org/W2155581733","https://openalex.org/W2155599445","https://openalex.org/W2157319504","https://openalex.org/W2158542561","https://openalex.org/W2159304001","https://openalex.org/W2160796890","https://openalex.org/W2161004731","https://openalex.org/W2162583406","https://openalex.org/W2164389533","https://openalex.org/W2165966638","https://openalex.org/W2169433313","https://openalex.org/W2180189393","https://openalex.org/W2279866079","https://openalex.org/W2315064349","https://openalex.org/W2340735175","https://openalex.org/W2489522148","https://openalex.org/W2491727406","https://openalex.org/W2495011300","https://openalex.org/W2511932998","https://openalex.org/W2527843003","https://openalex.org/W2610670723","https://openalex.org/W2799061192","https://openalex.org/W2912435539","https://openalex.org/W2913222977","https://openalex.org/W2913459036","https://openalex.org/W2913966000","https://openalex.org/W2955101758","https://openalex.org/W2970349335","https://openalex.org/W2977904728","https://openalex.org/W2987907651","https://openalex.org/W2999752128","https://openalex.org/W3011103195","https://openalex.org/W3144889436","https://openalex.org/W3146075203","https://openalex.org/W4210317869","https://openalex.org/W4234216897","https://openalex.org/W4249471896","https://openalex.org/W4256562411","https://openalex.org/W4285719527","https://openalex.org/W4301791419","https://openalex.org/W4388298941","https://openalex.org/W6600200448","https://openalex.org/W6602844375","https://openalex.org/W6602911221","https://openalex.org/W6603208002","https://openalex.org/W6604133945","https://openalex.org/W6607900483","https://openalex.org/W6629054614","https://openalex.org/W6630091763","https://openalex.org/W6630944520","https://openalex.org/W6631002354","https://openalex.org/W6631076175","https://openalex.org/W6631587915","https://openalex.org/W6631786057","https://openalex.org/W6632601584","https://openalex.org/W6633163552","https://openalex.org/W6634896795","https://openalex.org/W6638251152","https://openalex.org/W6641740895","https://openalex.org/W6644976333","https://openalex.org/W6645733142","https://openalex.org/W6654663888","https://openalex.org/W6665773200","https://openalex.org/W6667008905","https://openalex.org/W6674423876","https://openalex.org/W6677854965","https://openalex.org/W6678359507","https://openalex.org/W6682658612","https://openalex.org/W6682991435","https://openalex.org/W6695359601","https://openalex.org/W6765287358","https://openalex.org/W6792635071","https://openalex.org/W6793045953","https://openalex.org/W6884753825"],"related_works":["https://openalex.org/W3108798275","https://openalex.org/W2101793126","https://openalex.org/W142011187","https://openalex.org/W2077061463","https://openalex.org/W2766759918","https://openalex.org/W2963628981","https://openalex.org/W1530784265","https://openalex.org/W3141979082","https://openalex.org/W2554822349","https://openalex.org/W2004665970"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
