{"id":"https://openalex.org/W2133147428","doi":"https://doi.org/10.1016/s1571-0661(05)80257-9","title":"Derivation of Characteristic Formulae","display_name":"Derivation of Characteristic Formulae","publication_year":1998,"publication_date":"1998-01-01","ids":{"openalex":"https://openalex.org/W2133147428","doi":"https://doi.org/10.1016/s1571-0661(05)80257-9","mag":"2133147428"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(05)80257-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80257-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"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":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(05)80257-9","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070224469","display_name":"Markus M\u00fcller-Olm","orcid":"https://orcid.org/0009-0001-2229-9651"},"institutions":[{"id":"https://openalex.org/I200332995","display_name":"TU Dortmund University","ror":"https://ror.org/01k97gp34","country_code":"DE","type":"education","lineage":["https://openalex.org/I200332995"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Markus M\u00fcller-Olm","raw_affiliation_strings":["Fachbereich Informatik Universit\u00e4t Dortmund 44221 Dortmund, Germany","Fachbereich Informatik, Universit\u00e4t Dortmund, 44221 Dortmund, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Informatik Universit\u00e4t Dortmund 44221 Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]},{"raw_affiliation_string":"Fachbereich Informatik, Universit\u00e4t Dortmund, 44221 Dortmund, Germany","institution_ids":["https://openalex.org/I200332995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070224469"],"corresponding_institution_ids":["https://openalex.org/I200332995"],"apc_list":null,"apc_paid":null,"fwci":0.5494,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.77173814,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"18","issue":null,"first_page":"159","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9991999864578247,"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":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.9739890098571777},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7554721832275391},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6523491144180298},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.6434710621833801},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.46553412079811096},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.43727853894233704},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.4314248859882355},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3616505265235901},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32580894231796265},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10710710287094116},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05337756872177124}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.9739890098571777},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7554721832275391},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6523491144180298},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.6434710621833801},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.46553412079811096},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43727853894233704},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.4314248859882355},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3616505265235901},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32580894231796265},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10710710287094116},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05337756872177124},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s1571-0661(05)80257-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80257-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"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":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.16.647","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.647","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ls5-www.cs.uni-dortmund.de/~mmo/pubs/mfcs98.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.88.6452","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.6452","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cs.uni-muenster.de/u/olm/pubs/mfcs98.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(05)80257-9","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80257-9","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"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":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W258022877","https://openalex.org/W260642817","https://openalex.org/W1503973138","https://openalex.org/W1547562281","https://openalex.org/W1590891429","https://openalex.org/W1968829301","https://openalex.org/W1978469611","https://openalex.org/W1990440312","https://openalex.org/W1997640494","https://openalex.org/W2015640848","https://openalex.org/W2025280888","https://openalex.org/W2046213250","https://openalex.org/W2050530663","https://openalex.org/W2098023243","https://openalex.org/W2136485937","https://openalex.org/W2138463821","https://openalex.org/W2268014521","https://openalex.org/W2914577191","https://openalex.org/W6632601584","https://openalex.org/W6635458767","https://openalex.org/W6759064450"],"related_works":["https://openalex.org/W1495872178","https://openalex.org/W1522712643","https://openalex.org/W2136070637","https://openalex.org/W2102135785","https://openalex.org/W2783071694","https://openalex.org/W1553849808","https://openalex.org/W1976268573","https://openalex.org/W2089212807","https://openalex.org/W2963587252","https://openalex.org/W3013924750"],"abstract_inverted_index":{"This":[0],"paper":[1],"shows":[2],"how":[3],"modal":[4],"mu-calculus":[5],"formulae":[6],"characterizing":[7],"finite-state":[8],"processes":[9],"up":[10],"to":[11,47],"strong":[12,37],"or":[13],"weak":[14,54],"bisimulation":[15,28,38],"can":[16],"be":[17],"derived":[18],"directly":[19],"from":[20],"the":[21,27,36],"well-known":[22],"greatest":[23],"fixpoint":[24],"characterizations":[25],"of":[26,43],"relations.":[29],"Our":[30],"derivation":[31],"simplifies":[32],"earlier":[33],"proofs":[34],"for":[35],"case":[39],"and,":[40],"by":[41],"virtue":[42],"derivation,":[44],"immediately":[45],"generalizes":[46],"various":[48],"other":[49],"bisimulation-like":[50],"relations,":[51],"in":[52],"particular":[53],"bisimulation.":[55]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
