{"id":"https://openalex.org/W1606156286","doi":"https://doi.org/10.1007/978-3-540-24727-2_28","title":"Duality for Labelled Markov Processes","display_name":"Duality for Labelled Markov Processes","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W1606156286","doi":"https://doi.org/10.1007/978-3-540-24727-2_28","mag":"1606156286"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-24727-2_28","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-24727-2_28","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24727-2_28.pdf","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":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24727-2_28.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087271577","display_name":"Michael Mislove","orcid":"https://orcid.org/0000-0002-6650-1399"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael Mislove","raw_affiliation_strings":["Department of Mathematics, Tulane University, New Orleans, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tulane University, New Orleans, USA","institution_ids":["https://openalex.org/I114832834"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045412407","display_name":"Jo\u00ebl Ouaknine","orcid":"https://orcid.org/0000-0003-0031-9356"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jo\u00ebl Ouaknine","raw_affiliation_strings":["Computer Science Department, Carnegie Mellon University, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, Carnegie Mellon University, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061638693","display_name":"Du\u0161ko Pavlovi\u0107","orcid":"https://orcid.org/0000-0002-9855-6861"},"institutions":[{"id":"https://openalex.org/I4210156228","display_name":"Kestrel Institute","ror":"https://ror.org/04deyvw92","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210156228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dusko Pavlovic","raw_affiliation_strings":["Kestrel Institute, Palo Alto, USA"],"affiliations":[{"raw_affiliation_string":"Kestrel Institute, Palo Alto, USA","institution_ids":["https://openalex.org/I4210156228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068165188","display_name":"James Worrell","orcid":"https://orcid.org/0000-0001-8151-2443"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James Worrell","raw_affiliation_strings":["Department of Mathematics, Tulane University, New Orleans, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Tulane University, New Orleans, USA","institution_ids":["https://openalex.org/I114832834"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5087271577"],"corresponding_institution_ids":["https://openalex.org/I114832834"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.9269,"has_fulltext":true,"cited_by_count":30,"citation_normalized_percentile":{"value":0.86898162,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"393","last_page":"407"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9983000159263611,"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":0.9937000274658203,"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/multiplicative-function","display_name":"Multiplicative function","score":0.6017252206802368},{"id":"https://openalex.org/keywords/probabilistic-automaton","display_name":"Probabilistic automaton","score":0.5204622745513916},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5055146217346191},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.504909098148346},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5047591924667358},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.4472898244857788},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.44536957144737244},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.4349517822265625},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.4171365201473236},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4103371798992157},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4042825698852539},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33641111850738525},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.25193479657173157},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18003079295158386},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09062466025352478}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6017252206802368},{"id":"https://openalex.org/C174784677","wikidata":"https://www.wikidata.org/wiki/Q176567","display_name":"Probabilistic automaton","level":3,"score":0.5204622745513916},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5055146217346191},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.504909098148346},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5047591924667358},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.4472898244857788},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.44536957144737244},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.4349517822265625},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4171365201473236},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4103371798992157},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4042825698852539},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33641111850738525},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.25193479657173157},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18003079295158386},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09062466025352478},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-540-24727-2_28","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-24727-2_28","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24727-2_28.pdf","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.10.5420","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.5420","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-2.cs.cmu.edu/~ouaknine/publications/gelfand03.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.108.9822","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.108.9822","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.comlab.ox.ac.uk/oucl/work/joel.ouaknine/publications/lmpduality04.pdf","raw_type":"text"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:5cf6e2a3-dd40-404d-91b3-e6b0405efcc8","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:5cf6e2a3-dd40-404d-91b3-e6b0405efcc8","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Computer Science","raw_type":"Conference item"}],"best_oa_location":{"id":"doi:10.1007/978-3-540-24727-2_28","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-24727-2_28","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-540-24727-2_28.pdf","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G984758722","display_name":"Collaborative Research:   A Coalgebraic Framework for Development and Composition of Hybrid Systems","funder_award_id":"0208743","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1606156286.pdf","grobid_xml":"https://content.openalex.org/works/W1606156286.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W105220891","https://openalex.org/W185444801","https://openalex.org/W1495299640","https://openalex.org/W1506646958","https://openalex.org/W1531625469","https://openalex.org/W1533525390","https://openalex.org/W1546768510","https://openalex.org/W1564574237","https://openalex.org/W1582292473","https://openalex.org/W1597181838","https://openalex.org/W1852424686","https://openalex.org/W1894625314","https://openalex.org/W1965338471","https://openalex.org/W1976268573","https://openalex.org/W1978375202","https://openalex.org/W2018430837","https://openalex.org/W2024355065","https://openalex.org/W2026410426","https://openalex.org/W2044260813","https://openalex.org/W2100893927","https://openalex.org/W2120948330","https://openalex.org/W2135657750","https://openalex.org/W2144793956","https://openalex.org/W2152692559","https://openalex.org/W2163872159","https://openalex.org/W4212873186","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2594491092","https://openalex.org/W2783792357","https://openalex.org/W249340682","https://openalex.org/W2159157384","https://openalex.org/W2951456305","https://openalex.org/W1573261754","https://openalex.org/W2514822958","https://openalex.org/W1790469418","https://openalex.org/W2015555890","https://openalex.org/W1485231064"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}