{"id":"https://openalex.org/W1492207448","doi":"https://doi.org/10.1109/iscas.2003.1204983","title":"An algorithm GMST for extracting minimal siphon-traps and its application to efficient computation of Petri net invariants","display_name":"An algorithm GMST for extracting minimal siphon-traps and its application to efficient computation of Petri net invariants","publication_year":2003,"publication_date":"2003-11-21","ids":{"openalex":"https://openalex.org/W1492207448","doi":"https://doi.org/10.1109/iscas.2003.1204983","mag":"1492207448"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2003.1204983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1204983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-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/A5112363716","display_name":"Azuma Taguchi","orcid":null},"institutions":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"A. Taguchi","raw_affiliation_strings":["Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, Japan","Graduate School of Eng., Hiroshima University, Higashi, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, Japan","institution_ids":["https://openalex.org/I113306721"]},{"raw_affiliation_string":"Graduate School of Eng., Hiroshima University, Higashi, Japan","institution_ids":["https://openalex.org/I113306721"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054096253","display_name":"Satoshi Taoka","orcid":null},"institutions":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"S. Taoka","raw_affiliation_strings":["Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, Japan","Graduate School of Eng., Hiroshima University, Higashi, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, Japan","institution_ids":["https://openalex.org/I113306721"]},{"raw_affiliation_string":"Graduate School of Eng., Hiroshima University, Higashi, Japan","institution_ids":["https://openalex.org/I113306721"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074965608","display_name":"Takuo Watanabe","orcid":"https://orcid.org/0000-0001-7470-3428"},"institutions":[{"id":"https://openalex.org/I113306721","display_name":"Hiroshima University","ror":"https://ror.org/03t78wx29","country_code":"JP","type":"education","lineage":["https://openalex.org/I113306721"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"T. Watanabe","raw_affiliation_strings":["Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, Japan","Graduate School of Eng., Hiroshima University, Higashi, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, Japan","institution_ids":["https://openalex.org/I113306721"]},{"raw_affiliation_string":"Graduate School of Eng., Hiroshima University, Higashi, Japan","institution_ids":["https://openalex.org/I113306721"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112363716"],"corresponding_institution_ids":["https://openalex.org/I113306721"],"apc_list":null,"apc_paid":null,"fwci":0.7091,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.67186186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"III","last_page":"172"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":1.0,"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":1.0,"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":0.9973999857902527,"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":0.9916999936103821,"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":0.6421103477478027},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5751094222068787},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5179754495620728},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.506391167640686},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4575966000556946},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4311252236366272},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4300042986869812},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4029582440853119},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.362959086894989},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34575778245925903},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14357152581214905}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.6421103477478027},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5751094222068787},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5179754495620728},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.506391167640686},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4575966000556946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4311252236366272},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4300042986869812},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4029582440853119},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.362959086894989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34575778245925903},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14357152581214905},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2003.1204983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1204983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1489949943","https://openalex.org/W1492207448","https://openalex.org/W1493186690","https://openalex.org/W1530491486","https://openalex.org/W1591890109","https://openalex.org/W1605229095","https://openalex.org/W1994188141","https://openalex.org/W1996109622","https://openalex.org/W2049282611","https://openalex.org/W2113355185","https://openalex.org/W2254294828","https://openalex.org/W2300417477","https://openalex.org/W3155756270","https://openalex.org/W4302402540","https://openalex.org/W6629062737","https://openalex.org/W6629415253","https://openalex.org/W6636313393","https://openalex.org/W6648911993","https://openalex.org/W6676873262","https://openalex.org/W6691821029","https://openalex.org/W6697668974"],"related_works":["https://openalex.org/W1551257573","https://openalex.org/W4230983483","https://openalex.org/W1980200158","https://openalex.org/W2132799268","https://openalex.org/W2154794415","https://openalex.org/W1538101305","https://openalex.org/W791317142","https://openalex.org/W2109094990","https://openalex.org/W2982241419","https://openalex.org/W2492983430"],"abstract_inverted_index":{"A":[0],"siphon-trap":[1],"of":[2,21,38,51,129],"a":[3,18,36,49],"Petri":[4],"net":[5],"N":[6],"=":[7],"(P,":[8],"T,":[9],"E,":[10],"/spl":[11,13],"alpha/,":[12],"beta/)":[14],"is":[15,30,45,103,117],"defined":[16],"as":[17,88],"set":[19],"S":[20,39,52],"places":[22],"such":[23],"that,":[24],"for":[25,96],"any":[26],"transition":[27],"t,":[28],"there":[29,44],"an":[31,46,60,92],"edge":[32,47],"from":[33,48],"t":[34],"to":[35,53],"place":[37,50],"if":[40,43,131],"and":[41,70,116,122],"only":[42],"t.":[54],"In":[55],"this":[56],"paper,":[57],"we":[58,90],"propose":[59,91],"O(|P|/sup":[61],"2/(|P|":[62],"+":[63,65],"|T|":[64],"|E|))":[66],"time":[67],"algorithm":[68,93],"GMST":[69,77],"another":[71],"one":[72,135],"GMST/sub":[73,82,109],"i/":[74,83,95,110,125],"that":[75,108,123],"repeats":[76],"i":[78],"times.":[79],"By":[80],"incorporating":[81],"into":[84],"the":[85],"Fourier-Motzkin":[86],"method":[87],"preprocessing,":[89],"STFM_G/sub":[94,124],"computing":[97],"minimal-support":[98,136],"nonnegative":[99,137],"integer":[100,138],"invariants.":[101],"It":[102],"shown,":[104],"through":[105],"experimental":[106],"results,":[107],"can":[111],"extract":[112],"more":[113],"minimal":[114],"siphon-traps":[115],"faster":[118],"than":[119],"existing":[120],"algorithms":[121],"has":[126],"high":[127],"possibility":[128],"finding,":[130],"any,":[132],"at":[133],"least":[134],"invariant.":[139]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}