{"id":"https://openalex.org/W1819761125","doi":"https://doi.org/10.3233/fi-2000-43123402","title":"Finite Completeness of Categories of Petri Nets","display_name":"Finite Completeness of Categories of Petri Nets","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1819761125","doi":"https://doi.org/10.3233/fi-2000-43123402","mag":"1819761125"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2000-43123402","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2000-43123402","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/A5028217957","display_name":"Marek A. Bednarczyk","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Marek A. Bednarczyk","raw_affiliation_strings":["Institute of Computer Science, Gda\u0144sk Branch, Polish Academy of Sciences, Abrahama 18, 81-825 Sopot, Poland. email: {m.bednarczyk,a.borzyszkowski}@ipipan.gda.pl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Gda\u0144sk Branch, Polish Academy of Sciences, Abrahama 18, 81-825 Sopot, Poland. email: {m.bednarczyk,a.borzyszkowski}@ipipan.gda.pl","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210087266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032230037","display_name":"Andrzej M. Borzyszkowski","orcid":"https://orcid.org/0000-0002-4477-8960"},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Andrzej M. Borzyszkowski","raw_affiliation_strings":["Institute of Computer Science, Gda\u0144sk Branch, Polish Academy of Sciences, Abrahama 18, 81-825 Sopot, Poland. email: {m.bednarczyk,a.borzyszkowski}@ipipan.gda.pl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Gda\u0144sk Branch, Polish Academy of Sciences, Abrahama 18, 81-825 Sopot, Poland. email: {m.bednarczyk,a.borzyszkowski}@ipipan.gda.pl","institution_ids":["https://openalex.org/I99542240","https://openalex.org/I4210087266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030905955","display_name":"Rafa\u0142 Somla","orcid":null},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Rafa\u0142 Somla","raw_affiliation_strings":["Institute of Mathematics, Gda\u0144sk University, Wita Stwosza 57, 80-952 Gda\u0144sk, Poland. email: rsomla@univ.gda.pl"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Gda\u0144sk University, Wita Stwosza 57, 80-952 Gda\u0144sk, Poland. email: rsomla@univ.gda.pl","institution_ids":["https://openalex.org/I40413290","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9395,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.74312062,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"43","issue":"1-4","first_page":"21","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9941999912261963,"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":0.781192421913147},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.7009793519973755},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5187295079231262},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.4423527717590332},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4155801236629486},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.386879026889801}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.781192421913147},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.7009793519973755},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5187295079231262},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.4423527717590332},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4155801236629486},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.386879026889801},{"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:10.3233/fi-2000-43123402","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2000-43123402","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.27.2766","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.2766","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ipipan.gda.pl/~andrzej/papers/fi.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.75.9211","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.75.9211","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ipipan.gda.pl/~andrzej/papers/equalize.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.46000000834465027,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1481670130","https://openalex.org/W1487534524","https://openalex.org/W1493725222","https://openalex.org/W1502405917","https://openalex.org/W1516666103","https://openalex.org/W1882941837","https://openalex.org/W1908424597","https://openalex.org/W1913251364","https://openalex.org/W1991052229","https://openalex.org/W2027622095","https://openalex.org/W2032838513","https://openalex.org/W2080705820","https://openalex.org/W2086302464","https://openalex.org/W2093397547","https://openalex.org/W2173961470"],"related_works":["https://openalex.org/W1938017683","https://openalex.org/W2158814988","https://openalex.org/W1543378523","https://openalex.org/W2355954834","https://openalex.org/W2285444239","https://openalex.org/W2257573499","https://openalex.org/W2901841247","https://openalex.org/W2091260341","https://openalex.org/W597347111","https://openalex.org/W2064254377"],"abstract_inverted_index":{"The":[0,52],"problem":[1,19],"of":[2,5,7,24,27,34,56,75,104],"finite":[3,16],"completeness":[4],"categories":[6,33,80],"Petri":[8,13,35,62,95,107],"nets":[9,14,36,63,96,108],"is":[10,109],"studied.":[11],"Since":[12],"have":[15],"products,":[17],"the":[18,22,25,32,57,102],"reduces":[20],"to":[21,83],"issue":[23],"existence":[26],"equalizers.":[28],"We":[29],"show":[30],"that":[31,60,101],"with":[37,64],"general":[38],"and":[39,46],"Winskel":[40],"morphisms":[41,66,91],"do":[42],"not":[43,49],"admit":[44],"equalizers,":[45],"hence":[47],"are":[48,81,97],"finitely":[50,69,85,110],"complete.":[51,86,111],"main":[53],"positive":[54],"result":[55],"paper":[58],"states":[59],"reachable":[61,93,105],"multiplicative":[65],"form":[67],"a":[68],"complete":[70],"category.":[71],"As":[72],"an":[73],"application":[74],"this":[76],"result,":[77],"some":[78],"well-known":[79],"shown":[82],"be":[84],"For":[87],"instance,":[88],"since":[89],"all":[90],"between":[92],"safe":[94,106],"multiplicative,":[98],"it":[99],"follows":[100],"category":[103]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
