{"id":"https://openalex.org/W1977137928","doi":"https://doi.org/10.1016/s1571-0661(04)80632-7","title":"A hierarchy of probabilistic system types","display_name":"A hierarchy of probabilistic system types","publication_year":2003,"publication_date":"2003-07-01","ids":{"openalex":"https://openalex.org/W1977137928","doi":"https://doi.org/10.1016/s1571-0661(04)80632-7","mag":"1977137928"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80632-7","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80632-7","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(04)80632-7","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059502843","display_name":"Falk Bartels","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Falk Bartels","raw_affiliation_strings":["CWI, Amsterdam, Netherlands"],"affiliations":[{"raw_affiliation_string":"CWI, Amsterdam, Netherlands","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074223895","display_name":"Ana Sokolova","orcid":"https://orcid.org/0000-0002-8384-3438"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ana Sokolova","raw_affiliation_strings":["Department of Mathematics and Computer Science, TU/e, Eindhoven"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, TU/e, Eindhoven","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018760156","display_name":"E.P. de Vink","orcid":"https://orcid.org/0000-0001-9514-2260"},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Erik de Vink","raw_affiliation_strings":["Department of Mathematics and Computer Science, TU/e, Eindhoven LIACS, Leiden University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, TU/e, Eindhoven LIACS, Leiden University","institution_ids":["https://openalex.org/I121797337"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018760156","https://openalex.org/A5059502843","https://openalex.org/A5074223895"],"corresponding_institution_ids":["https://openalex.org/I121797337","https://openalex.org/I1341640284","https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":3.2772,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.92213671,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"82","issue":"1","first_page":"57","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9972000122070312,"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":0.9972000122070312,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.989300012588501,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9871000051498413,"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/embedding","display_name":"Embedding","score":0.8034744262695312},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.7328482866287231},{"id":"https://openalex.org/keywords/coalgebra","display_name":"Coalgebra","score":0.7239179015159607},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.7126249074935913},{"id":"https://openalex.org/keywords/injective-function","display_name":"Injective function","score":0.6725579500198364},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6193485260009766},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5876598358154297},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5754365921020508},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.508438766002655},{"id":"https://openalex.org/keywords/task","display_name":"Task (project management)","score":0.4411742687225342},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4375010132789612},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.43320223689079285},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42732858657836914},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.4155914783477783},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35492050647735596},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3245445489883423},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09947949647903442}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.8034744262695312},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.7328482866287231},{"id":"https://openalex.org/C2778249326","wikidata":"https://www.wikidata.org/wiki/Q1777803","display_name":"Coalgebra","level":3,"score":0.7239179015159607},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.7126249074935913},{"id":"https://openalex.org/C128107574","wikidata":"https://www.wikidata.org/wiki/Q182003","display_name":"Injective function","level":2,"score":0.6725579500198364},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6193485260009766},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5876598358154297},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5754365921020508},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.508438766002655},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4411742687225342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4375010132789612},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.43320223689079285},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42732858657836914},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.4155914783477783},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35492050647735596},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3245445489883423},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09947949647903442},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1016/s1571-0661(04)80632-7","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80632-7","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:pure.tue.nl:openaire_cris_publications/d8f6afca-2d48-4deb-b70c-65818d98a974","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/d8f6afca-2d48-4deb-b70c-65818d98a974","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bartels, F, Sokolova, A & Vink, de, E P 2003, A hierarchy of probabilistic system types. in Proceedings 6th International Workshop on Coalgebraic Methods in Computer Science (CMCS'03, Warsaw, Poland, April 5-6, 2003). Electronic Notes in Theoretical Computer Science, vol. 82(1). https://doi.org/10.1016/S1571-0661(04)80632-7","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:623888","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=623888","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0304-3975","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.12.7752","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.7752","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cwi.nl/~bartels/Papers/Hierarchy/Hierarchy.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.14.9765","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.9765","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://homepages.cwi.nl/~bartels/Papers/Hierarchy/Hierarchy.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.158.6169","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.6169","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.3.3089","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.3089","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ics.ele.tue.nl/~svlad/ees5202/publications/HierarchyTCS.pdf","raw_type":"text"},{"id":"pmh:oai:library.tue.nl:623888","is_oa":false,"landing_page_url":"http://repository.tue.nl/623888","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0304-3975","raw_type":"Article / Letter to the editor"},{"id":"pmh:tue:oai:pure.tue.nl:publications/d8f6afca-2d48-4deb-b70c-65818d98a974","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/d8f6afca-2d48-4deb-b70c-65818d98a974","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings 6th International Workshop on Coalgebraic Methods in Computer Science (CMCS'03, Warsaw, Poland, April 5-6, 2003)","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80632-7","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80632-7","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W89687488","https://openalex.org/W1492711856","https://openalex.org/W1498432056","https://openalex.org/W1503973138","https://openalex.org/W1579183220","https://openalex.org/W1597181838","https://openalex.org/W1793726001","https://openalex.org/W1850900101","https://openalex.org/W1872588449","https://openalex.org/W1969854456","https://openalex.org/W1976268573","https://openalex.org/W2021089599","https://openalex.org/W2068003272","https://openalex.org/W2088189323","https://openalex.org/W2093436963","https://openalex.org/W2100893927","https://openalex.org/W2123876422","https://openalex.org/W2126214140","https://openalex.org/W2135657750","https://openalex.org/W2165161585","https://openalex.org/W2337623929","https://openalex.org/W2491539874","https://openalex.org/W4206542816","https://openalex.org/W4213277014","https://openalex.org/W6634422304","https://openalex.org/W7053504691"],"related_works":["https://openalex.org/W2071463650","https://openalex.org/W2093450770","https://openalex.org/W2303187054","https://openalex.org/W2102919649","https://openalex.org/W2963741069","https://openalex.org/W2159694780","https://openalex.org/W2951192905","https://openalex.org/W2104717233","https://openalex.org/W1982005844","https://openalex.org/W4297912016"],"abstract_inverted_index":{"We":[0],"arrange":[1],"various":[2],"types":[3],"of":[4,22,25,27,33,56,62,123],"probabilistic":[5],"transition":[6],"systems":[7,26,57],"studied":[8],"in":[9,12,107],"the":[10,20,28,34,50,54,59,67,83,103,108,111,121],"literature":[11,109],"an":[13,23,72],"expressiveness":[14,17],"hierarchy.":[15],"The":[16],"criterion":[18],"is":[19,39],"existence":[21],"embedding":[24,37,73],"one":[29],"class":[30],"into":[31],"those":[32],"other.":[35],"An":[36],"here":[38],"a":[40,76,117],"system":[41,113],"transformation":[42,78],"which":[43,96],"preserves":[44],"and":[45,58,65],"reflects":[46],"bisimilarity.":[47],"To":[48],"facilitate":[49],"task,":[51],"we":[52,90,97],"define":[53],"classes":[55],"corresponding":[60],"notion":[61],"bisimilarity":[63],"coalgebraically":[64],"use":[66],"new":[68],"technical":[69],"result":[70],"that":[71,92],"arises":[74],"from":[75],"natural":[77],"with":[79,102],"injective":[80],"components":[81],"between":[82],"two":[84],"coalgebra":[85],"functors":[86],"under":[87],"consideration.":[88],"Moreover,":[89],"argue":[91],"coalgebraic":[93],"bisimilarity,":[94],"on":[95],"base":[98],"our":[99],"results,":[100],"coincides":[101],"concrete":[104],"notions":[105],"proposed":[106],"for":[110,120],"different":[112],"classes,":[114],"exemplified":[115],"by":[116],"detailed":[118],"proof":[119],"case":[122],"general":[124],"Segala-type":[125],"systems.":[126]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
