{"id":"https://openalex.org/W1509642066","doi":"https://doi.org/10.1007/bfb0035630","title":"A modal logic for reasoning about knowledge and time on binary subset trees","display_name":"A modal logic for reasoning about knowledge and time on binary subset trees","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1509642066","doi":"https://doi.org/10.1007/bfb0035630","mag":"1509642066"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0035630","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0035630","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5102944439","display_name":"Bernhard Heinemann","orcid":"https://orcid.org/0000-0001-9788-7864"},"institutions":[{"id":"https://openalex.org/I120691247","display_name":"FernUniversit\u00e4t in Hagen","ror":"https://ror.org/04tkkr536","country_code":"DE","type":"education","lineage":["https://openalex.org/I120691247"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Bernhard Heinemann","raw_affiliation_strings":["FernUniversit\u00e4t, D-58084, Hagen, Germany","FernUniversit\u00e4t"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FernUniversit\u00e4t, D-58084, Hagen, Germany","institution_ids":["https://openalex.org/I120691247"]},{"raw_affiliation_string":"FernUniversit\u00e4t","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102944439"],"corresponding_institution_ids":["https://openalex.org/I120691247"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3268,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51026912,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"298","last_page":"310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9998000264167786,"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":0.9998000264167786,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9965999722480774,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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-operator","display_name":"Modal operator","score":0.6488884091377258},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.6443708539009094},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.6158468723297119},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5630851984024048},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5564899444580078},{"id":"https://openalex.org/keywords/normal-modal-logic","display_name":"Normal modal logic","score":0.5446493029594421},{"id":"https://openalex.org/keywords/s5","display_name":"S5","score":0.535711407661438},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.5157333016395569},{"id":"https://openalex.org/keywords/linear-temporal-logic","display_name":"Linear temporal logic","score":0.4831918776035309},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.4787178039550781},{"id":"https://openalex.org/keywords/accessibility-relation","display_name":"Accessibility relation","score":0.44014212489128113},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4389568865299225},{"id":"https://openalex.org/keywords/binary-relation","display_name":"Binary relation","score":0.42373955249786377},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.42313212156295776},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.42185068130493164},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.41750386357307434},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3699781894683838},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3682100176811218},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.35649919509887695},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.3528796434402466},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3395082950592041},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11534005403518677}],"concepts":[{"id":"https://openalex.org/C78344899","wikidata":"https://www.wikidata.org/wiki/Q638442","display_name":"Modal operator","level":4,"score":0.6488884091377258},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.6443708539009094},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.6158468723297119},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5630851984024048},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5564899444580078},{"id":"https://openalex.org/C114092440","wikidata":"https://www.wikidata.org/wiki/Q840226","display_name":"Normal modal logic","level":4,"score":0.5446493029594421},{"id":"https://openalex.org/C192609573","wikidata":"https://www.wikidata.org/wiki/Q7388341","display_name":"S5","level":5,"score":0.535711407661438},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.5157333016395569},{"id":"https://openalex.org/C4777664","wikidata":"https://www.wikidata.org/wiki/Q1536492","display_name":"Linear temporal logic","level":2,"score":0.4831918776035309},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.4787178039550781},{"id":"https://openalex.org/C11191006","wikidata":"https://www.wikidata.org/wiki/Q2663311","display_name":"Accessibility relation","level":4,"score":0.44014212489128113},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4389568865299225},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.42373955249786377},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.42313212156295776},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.42185068130493164},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.41750386357307434},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3699781894683838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3682100176811218},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.35649919509887695},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.3528796434402466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3395082950592041},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11534005403518677},{"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/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/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/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0035630","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0035630","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W46309478","https://openalex.org/W1490045522","https://openalex.org/W1580776589","https://openalex.org/W1596067335","https://openalex.org/W1619270605","https://openalex.org/W1822333573","https://openalex.org/W2006227387","https://openalex.org/W2073491323","https://openalex.org/W2146819619","https://openalex.org/W2159753366","https://openalex.org/W2805767310","https://openalex.org/W2807004567","https://openalex.org/W2899644013","https://openalex.org/W3140030144","https://openalex.org/W4242309855","https://openalex.org/W6601906160","https://openalex.org/W6683341661","https://openalex.org/W6752138781","https://openalex.org/W6756414195"],"related_works":["https://openalex.org/W2534562289","https://openalex.org/W4233254255","https://openalex.org/W2795425183","https://openalex.org/W4318188140","https://openalex.org/W2188462059","https://openalex.org/W2175984923","https://openalex.org/W2123071520","https://openalex.org/W4297691000","https://openalex.org/W3037186148","https://openalex.org/W2396928407"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}