{"id":"https://openalex.org/W1768560255","doi":"https://doi.org/10.3233/fi-2009-194","title":"Expressiveness of Petri Nets with Stopwatches. Dense-time Part","display_name":"Expressiveness of Petri Nets with Stopwatches. Dense-time Part","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1768560255","doi":"https://doi.org/10.3233/fi-2009-194","mag":"1768560255"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2009-194","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2009-194","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},"type":"article","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/A5023902666","display_name":"Morgan Magnin","orcid":"https://orcid.org/0000-0001-5443-0506"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Morgan Magnin.","raw_affiliation_strings":["IRCCyN 1 rue de la No\u00eb, BP 92101 44321\r\t\t\t Nantes Cedex 03, France.\r\t\tE-mail:\t {morgan.magnin,pierre.molinaro,olivier-h.roux}@irccyn.ec-nantes.fr"],"affiliations":[{"raw_affiliation_string":"IRCCyN 1 rue de la No\u00eb, BP 92101 44321\r\t\t\t Nantes Cedex 03, France.\r\t\tE-mail:\t {morgan.magnin,pierre.molinaro,olivier-h.roux}@irccyn.ec-nantes.fr","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065126712","display_name":"Pierre Molinaro","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pierre Molinaro","raw_affiliation_strings":["IRCCyN 1 rue de la No\u00eb, BP 92101 44321\r\t\t\t Nantes Cedex 03, France.\r\t\tE-mail:\t {morgan.magnin,pierre.molinaro,olivier-h.roux}@irccyn.ec-nantes.fr"],"affiliations":[{"raw_affiliation_string":"IRCCyN 1 rue de la No\u00eb, BP 92101 44321\r\t\t\t Nantes Cedex 03, France.\r\t\tE-mail:\t {morgan.magnin,pierre.molinaro,olivier-h.roux}@irccyn.ec-nantes.fr","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012250079","display_name":"Olivier Roux","orcid":"https://orcid.org/0000-0003-1665-0481"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Olivier (H.) Roux","raw_affiliation_strings":["IRCCyN 1 rue de la No\u00eb, BP 92101 44321\r\t\t\t Nantes Cedex 03, France.\r\t\tE-mail:\t {morgan.magnin,pierre.molinaro,olivier-h.roux}@irccyn.ec-nantes.fr"],"affiliations":[{"raw_affiliation_string":"IRCCyN 1 rue de la No\u00eb, BP 92101 44321\r\t\t\t Nantes Cedex 03, France.\r\t\tE-mail:\t {morgan.magnin,pierre.molinaro,olivier-h.roux}@irccyn.ec-nantes.fr","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023902666"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3428,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.57516498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"97","issue":"1-2","first_page":"111","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","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/T11125","display_name":"Petri Nets in System Modeling","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/T10142","display_name":"Formal Methods in Verification","score":0.9976999759674072,"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/T10703","display_name":"Business Process Modeling and Analysis","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/petri-net","display_name":"Petri net","score":0.8875573873519897},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6561293601989746},{"id":"https://openalex.org/keywords/petri-dish","display_name":"Petri dish","score":0.592245876789093},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.5659852623939514},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.5465455055236816},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4911017417907715},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3488290309906006},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.097927987575531}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.8875573873519897},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6561293601989746},{"id":"https://openalex.org/C146763376","wikidata":"https://www.wikidata.org/wiki/Q81714","display_name":"Petri dish","level":2,"score":0.592245876789093},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.5659852623939514},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.5465455055236816},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4911017417907715},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3488290309906006},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.097927987575531},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2009-194","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2009-194","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W204986521","https://openalex.org/W354811764","https://openalex.org/W1488555460","https://openalex.org/W1509757908","https://openalex.org/W1513999490","https://openalex.org/W1514194201","https://openalex.org/W1529059198","https://openalex.org/W1555450222","https://openalex.org/W1577014738","https://openalex.org/W1591301942","https://openalex.org/W1593414957","https://openalex.org/W1596935793","https://openalex.org/W1607870372","https://openalex.org/W1659060819","https://openalex.org/W1863150103","https://openalex.org/W1989788631","https://openalex.org/W1989800577","https://openalex.org/W2000518871","https://openalex.org/W2021391928","https://openalex.org/W2033839526","https://openalex.org/W2083567135","https://openalex.org/W2084570980","https://openalex.org/W2086156607","https://openalex.org/W2090401819","https://openalex.org/W2099924351","https://openalex.org/W2109619776","https://openalex.org/W2135235051","https://openalex.org/W2143997593","https://openalex.org/W2151612633","https://openalex.org/W2164003033","https://openalex.org/W2169601056"],"related_works":["https://openalex.org/W1543378523","https://openalex.org/W2257573499","https://openalex.org/W2381491984","https://openalex.org/W4386989863","https://openalex.org/W2064254377","https://openalex.org/W2901841247","https://openalex.org/W1847176793","https://openalex.org/W2148229336","https://openalex.org/W2001922003","https://openalex.org/W117466158"],"abstract_inverted_index":{"With":[0],"this":[1,46],"contribution,":[2],"we":[3,35,174],"aim":[4],"to":[5,25,50,219],"draw":[6],"a":[7,29,162,200],"comprehensive":[8],"classification":[9,156],"of":[10,45,67,81,107,112,119,157,164,193,223],"Petri":[11,69,83,225],"nets":[12,70,84,187],"with":[13,71,90],"stopwatches":[14,72,205],"w.r.t.":[15,124],"expressiveness":[16,118,181],"and":[17,60,73,97,104,121,138,182],"decidability":[18,183],"issues.":[19],"This":[20],"topic":[21],"is":[22,33,49,78,88,159],"too":[23],"ambitious":[24],"be":[26,94,216],"summarized":[27],"in":[28,39,110,167,170],"single":[30],"paper.":[31],"That":[32],"why":[34],"present":[36],"our":[37,195],"results":[38,54,131,178,196],"two":[40],"different":[41],"parts.":[42],"The":[43,129,153],"scope":[44],"first":[47],"paper":[48],"address":[51],"the":[52,65,101,117,171,191,204,220],"general":[53,221],"that":[55,203],"apply":[56],"for":[57],"both":[58],"dense-time":[59,103],"discrete-time":[61,105,186],"semantics.":[62],"We":[63,99,115],"study":[64,116],"class":[66,222],"bounded":[68,135],"reset":[74,148],"arcs":[75,149],"(rSwPNs),":[76],"which":[77],"an":[79],"extension":[80],"T-time":[82],"(TPNs)":[85],"where":[86],"time":[87],"associated":[89],"transitions.":[91],"Stopwatches":[92],"can":[93,214],"reset,":[95],"stopped":[96],"started.":[98],"give":[100],"formal":[102],"semantics":[106],"these":[108,177],"models":[109,158],"terms":[111],"Transition":[113],"Systems.":[114],"rSwPNs":[120,140],"its":[122],"subclasses":[123],"(weak)":[125],"bisimilarity":[126],"(behavioral":[127],"semantics).":[128],"main":[130],"are":[132,141,188,197,207],"following:":[133],"1)":[134],"rSw-":[136],"PNs":[137],"1-safe":[139],"equally":[142],"expressive;":[143],"2)":[144],"For":[145,190],"all":[146],"models,":[147],"add":[150],"expressiveness.":[151],"3)":[152],"resulting":[154],"partial":[155],"given":[160],"by":[161,179],"set":[163],"relations":[165],"explained":[166,198],"Fig.":[168],"7:":[169],"forthcoming":[172],"paper,":[173],"will":[175],"complete":[176],"covering":[180],"issues":[184],"when":[185],"considered.":[189],"sake":[192],"simplicity,":[194],"on":[199],"model":[201],"such":[202],"behaviors":[206],"expressed":[208],"using":[209],"inhibitor":[210],"arcs.":[211],"Our":[212],"conclusions":[213],"however":[215],"easily":[217],"extended":[218],"Stopwatch":[224],"nets.":[226]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}