{"id":"https://openalex.org/W1547144898","doi":"https://doi.org/10.1016/s1571-0661(04)80535-8","title":"Monotonic Extensions of Petri Nets","display_name":"Monotonic Extensions of Petri Nets","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W1547144898","doi":"https://doi.org/10.1016/s1571-0661(04)80535-8","mag":"1547144898"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(04)80535-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80535-8","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)80535-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051788925","display_name":"Alain Finkel","orcid":"https://orcid.org/0000-0003-0702-3232"},"institutions":[{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"A. Finkel","raw_affiliation_strings":["Laboratoire Sp\u00e9cification et V\u00e9rification, CNRS UMR 8643 & ENS de Cachan, 61 av. du Prsident Wilson, 94235 Cachan cedex, France","Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan]"],"affiliations":[{"raw_affiliation_string":"Laboratoire Sp\u00e9cification et V\u00e9rification, CNRS UMR 8643 & ENS de Cachan, 61 av. du Prsident Wilson, 94235 Cachan cedex, France","institution_ids":["https://openalex.org/I4210104198","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire Sp\u00e9cification et V\u00e9rification [Cachan]","institution_ids":["https://openalex.org/I4210104198"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050196522","display_name":"Jean-Fran\u00e7ois Raskin","orcid":"https://orcid.org/0000-0002-3673-1097"},"institutions":[{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE","FR"],"is_corresponding":true,"raw_author_name":"J.-F. Raskin","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Blvd du Triomphe, 1050 Bruxelles, Belgium","Computer Science Department [Bruxelles]"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Blvd du Triomphe, 1050 Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Computer Science Department [Bruxelles]","institution_ids":["https://openalex.org/I4210156583"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008275995","display_name":"Manuel Samuelides","orcid":null},"institutions":[{"id":"https://openalex.org/I4210094115","display_name":"Laboratoire d'Informatique Algorithmique: Fondements et Applications","ror":"https://ror.org/00pbqgm18","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210094115","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210104198","display_name":"Laboratoire Sp\u00e9cification et V\u00e9rification","ror":"https://ror.org/01kz1bj67","country_code":"FR","type":"facility","lineage":["https://openalex.org/I11559806","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210104198","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Samuelides","raw_affiliation_strings":["Laboratoire Sp\u00e9cification et V\u00e9rification, CNRS UMR 8643 & ENS de Cachan, 61 av. du Prsident Wilson, 94235 Cachan cedex, France","Laboratoire d'informatique Algorithmique : Fondements et Applications"],"affiliations":[{"raw_affiliation_string":"Laboratoire Sp\u00e9cification et V\u00e9rification, CNRS UMR 8643 & ENS de Cachan, 61 av. du Prsident Wilson, 94235 Cachan cedex, France","institution_ids":["https://openalex.org/I4210104198","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Laboratoire d'informatique Algorithmique : Fondements et Applications","institution_ids":["https://openalex.org/I4210094115"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032668408","display_name":"Laurent Van Begin","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]},{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]}],"countries":["BE","FR"],"is_corresponding":true,"raw_author_name":"L. Van Begin","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Blvd du Triomphe, 1050 Bruxelles, Belgium","Computer Science Department [Bruxelles]"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Blvd du Triomphe, 1050 Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Computer Science Department [Bruxelles]","institution_ids":["https://openalex.org/I4210156583"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032668408","https://openalex.org/A5050196522","https://openalex.org/A5051788925"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I132053463","https://openalex.org/I4210104198","https://openalex.org/I4210156583"],"apc_list":null,"apc_paid":null,"fwci":3.6659,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.92944026,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"68","issue":"6","first_page":"85","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9988999962806702,"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/T11424","display_name":"Security and Verification in Computing","score":0.9952999949455261,"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/petri-net","display_name":"Petri net","score":0.9132273197174072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.67894446849823},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.6318674087524414},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.599503219127655},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.5654890537261963},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5532646179199219},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4658411741256714},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.44684073328971863},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4016279876232147},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.326999306678772},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2626170516014099}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.9132273197174072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.67894446849823},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.6318674087524414},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.599503219127655},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.5654890537261963},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5532646179199219},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4658411741256714},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.44684073328971863},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4016279876232147},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.326999306678772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2626170516014099},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/s1571-0661(04)80535-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80535-8","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:HAL:hal-00158709v1","is_oa":true,"landing_page_url":"https://hal.science/hal-00158709","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Notes in Theoretical Computer Science, 2002, 68 (6), pp.85-106. ⟨10.1016/S1571-0661(04)80535-8⟩","raw_type":"Journal articles"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/67598","is_oa":true,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/67598","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Notes in Theoretical Computer Science, 68 (6","raw_type":"info:ulb-repo/semantics/openurl/article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(04)80535-8","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(04)80535-8","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":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1499849351","https://openalex.org/W1513999490","https://openalex.org/W1557545083","https://openalex.org/W1567452221","https://openalex.org/W1570743953","https://openalex.org/W1572952339","https://openalex.org/W1595979400","https://openalex.org/W1783679080","https://openalex.org/W1854314632","https://openalex.org/W1855789069","https://openalex.org/W1864138857","https://openalex.org/W1910230409","https://openalex.org/W1955693250","https://openalex.org/W1965726041","https://openalex.org/W1967174286","https://openalex.org/W1986755980","https://openalex.org/W1987814265","https://openalex.org/W2022795996","https://openalex.org/W2036526834","https://openalex.org/W2106001218","https://openalex.org/W2121831936","https://openalex.org/W2123910665","https://openalex.org/W2129073086","https://openalex.org/W2400283444","https://openalex.org/W6630400633","https://openalex.org/W6633885308","https://openalex.org/W6634083525"],"related_works":["https://openalex.org/W1543378523","https://openalex.org/W2257573499","https://openalex.org/W2381491984","https://openalex.org/W2064254377","https://openalex.org/W2901841247","https://openalex.org/W2148229336","https://openalex.org/W1491709828","https://openalex.org/W2001922003","https://openalex.org/W4244333532","https://openalex.org/W117466158"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,22,47,61],"revisit":[4],"the":[5,11,40,56,69,72,76],"forward":[6,57,70],"and":[7,36,60,71],"backward":[8,73],"approaches":[9],"to":[10,28,37,66],"verification":[12,78],"of":[13,15,34,44,51,79],"extensions":[14],"infinite":[16,30],"state":[17],"Petri":[18,45],"Nets.":[19,82],"As":[20],"contributions,":[21],"propose":[23,62],"an":[24],"efficient":[25,77],"data":[26],"structure":[27],"represent":[29],"downward":[31],"closed":[32],"sets":[33],"markings":[35],"compute":[38],"symbolically":[39],"minimal":[41],"coverability":[42],"set":[43],"Nets,":[46],"identify":[48],"a":[49,63],"subclass":[50],"Transfer":[52,81],"Nets":[53],"for":[54,75],"which":[55],"approach":[58,74],"generalizes":[59],"general":[64,80],"strategy":[65],"use":[67],"both":[68]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}