{"id":"https://openalex.org/W2020720940","doi":"https://doi.org/10.1142/s0129054109006759","title":"PATH DECOMPOSITION AND SEMILINEARITY OF PETRI NETS","display_name":"PATH DECOMPOSITION AND SEMILINEARITY OF PETRI NETS","publication_year":2009,"publication_date":"2009-07-29","ids":{"openalex":"https://openalex.org/W2020720940","doi":"https://doi.org/10.1142/s0129054109006759","mag":"2020720940"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054109006759","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054109006759","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5101878939","display_name":"Hsu\u2010Chun Yen","orcid":"https://orcid.org/0000-0002-1764-1950"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]},{"id":"https://openalex.org/I174748290","display_name":"Kainan University","ror":"https://ror.org/018p1hd91","country_code":"TW","type":"education","lineage":["https://openalex.org/I174748290"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"HSU-CHUN YEN","raw_affiliation_strings":["Dept. of Computer Science, Kainan University, Taoyuan, Taiwan, R.O.C","Dept. of Electrical Engineering, National Taiwan University, Taipei, Taiwan, R.O.C"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, Kainan University, Taoyuan, Taiwan, R.O.C","institution_ids":["https://openalex.org/I174748290"]},{"raw_affiliation_string":"Dept. of Electrical Engineering, National Taiwan University, Taipei, Taiwan, R.O.C","institution_ids":["https://openalex.org/I16733864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101878939"],"corresponding_institution_ids":["https://openalex.org/I16733864","https://openalex.org/I174748290"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.10176396,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"20","issue":"04","first_page":"581","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9980999827384949,"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/T11567","display_name":"semigroups and automata theory","score":0.9958000183105469,"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/petri-net","display_name":"Petri net","score":0.9716060161590576},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.9587603211402893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6912425756454468},{"id":"https://openalex.org/keywords/process-architecture","display_name":"Process architecture","score":0.6703432202339172},{"id":"https://openalex.org/keywords/stochastic-petri-net","display_name":"Stochastic Petri net","score":0.6692816615104675},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.6359224319458008},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6207332015037537},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6025725603103638},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.6014813184738159},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.5290849208831787},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5162384510040283},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.47210922837257385},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3117167353630066},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1561429798603058}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.9716060161590576},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9587603211402893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6912425756454468},{"id":"https://openalex.org/C136155141","wikidata":"https://www.wikidata.org/wiki/Q7247260","display_name":"Process architecture","level":3,"score":0.6703432202339172},{"id":"https://openalex.org/C197551870","wikidata":"https://www.wikidata.org/wiki/Q7617809","display_name":"Stochastic Petri net","level":3,"score":0.6692816615104675},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.6359224319458008},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6207332015037537},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6025725603103638},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.6014813184738159},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.5290849208831787},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5162384510040283},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.47210922837257385},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3117167353630066},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1561429798603058},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054109006759","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054109006759","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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":19,"referenced_works":["https://openalex.org/W34476357","https://openalex.org/W299519334","https://openalex.org/W1543155041","https://openalex.org/W1566739370","https://openalex.org/W1966992415","https://openalex.org/W1969297029","https://openalex.org/W1970398023","https://openalex.org/W1971231744","https://openalex.org/W2003894975","https://openalex.org/W2011495892","https://openalex.org/W2014601143","https://openalex.org/W2017315323","https://openalex.org/W2023999667","https://openalex.org/W2027710994","https://openalex.org/W2046665182","https://openalex.org/W2050930613","https://openalex.org/W2055081868","https://openalex.org/W2148224873","https://openalex.org/W2162339458"],"related_works":["https://openalex.org/W1543378523","https://openalex.org/W2154785561","https://openalex.org/W1980200158","https://openalex.org/W2154794415","https://openalex.org/W2110957508","https://openalex.org/W1531156418","https://openalex.org/W1776999661","https://openalex.org/W2020720940","https://openalex.org/W2148229336","https://openalex.org/W4255837018"],"abstract_inverted_index":{"Semilinearity":[0],"plays":[1],"a":[2,23,34],"key":[3],"role":[4],"not":[5,27],"only":[6],"in":[7,12,30],"formal":[8],"languages":[9],"but":[10],"also":[11],"the":[13,19,67,90],"study":[14],"of":[15,22,37,39,69],"Petri":[16,24,40,56],"nets.":[17],"Although":[18],"reachability":[20,46],"set":[21],"net":[25],"may":[26],"be":[28,73],"semilinear":[29,45],"general,":[31],"there":[32],"are":[33],"wide":[35],"variety":[36],"subclasses":[38],"nets":[41,57],"which":[42,59],"enjoy":[43],"having":[44],"sets.":[47],"In":[48],"this":[49],"paper,":[50],"we":[51],"develop":[52],"sufficient":[53],"conditions":[54],"for":[55,75,84],"under":[58,89],"semilinearity":[60,79],"is":[61],"guaranteed.":[62],"Our":[63],"approach,":[64],"based":[65],"on":[66],"idea":[68],"path":[70],"decomposition,":[71],"can":[72],"used":[74],"consolidating":[76],"several":[77],"existing":[78],"results":[80,87],"as":[81,83],"well":[82],"deriving":[85],"new":[86],"all":[88],"same":[91],"framework.":[92]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}