{"id":"https://openalex.org/W2561670674","doi":"https://doi.org/10.1145/3018610.3018626","title":"Formalization of Karp-Miller tree construction on petri nets","display_name":"Formalization of Karp-Miller tree construction on petri nets","publication_year":2016,"publication_date":"2016-12-22","ids":{"openalex":"https://openalex.org/W2561670674","doi":"https://doi.org/10.1145/3018610.3018626","mag":"2561670674"},"language":"en","primary_location":{"id":"doi:10.1145/3018610.3018626","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3018610.3018626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs","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/A5103801346","display_name":"Mitsuharu Yamamoto","orcid":null},"institutions":[{"id":"https://openalex.org/I159385669","display_name":"Chiba University","ror":"https://ror.org/01hjzeq58","country_code":"JP","type":"education","lineage":["https://openalex.org/I159385669"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Mitsuharu Yamamoto","raw_affiliation_strings":["Chiba University, Japan"],"affiliations":[{"raw_affiliation_string":"Chiba University, Japan","institution_ids":["https://openalex.org/I159385669"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059917365","display_name":"Shogo Sekine","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shogo Sekine","raw_affiliation_strings":["Acrovision, Japan"],"affiliations":[{"raw_affiliation_string":"Acrovision, Japan","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102251238","display_name":"Saki Matsumoto","orcid":null},"institutions":[{"id":"https://openalex.org/I159385669","display_name":"Chiba University","ror":"https://ror.org/01hjzeq58","country_code":"JP","type":"education","lineage":["https://openalex.org/I159385669"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Saki Matsumoto","raw_affiliation_strings":["Chiba University, Japan"],"affiliations":[{"raw_affiliation_string":"Chiba University, Japan","institution_ids":["https://openalex.org/I159385669"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5103801346"],"corresponding_institution_ids":["https://openalex.org/I159385669"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.14870026,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"66","last_page":"78"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.996999979019165,"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":0.996999979019165,"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":0.994700014591217,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9908000230789185,"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":0.8282561898231506},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.7987614870071411},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7834011316299438},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.6292047500610352},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.5945050716400146},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5587679147720337},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.5490685701370239},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5235295295715332},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5030459761619568},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4968426525592804},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.41231778264045715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3490857779979706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20336464047431946}],"concepts":[{"id":"https://openalex.org/C38677869","wikidata":"https://www.wikidata.org/wiki/Q724168","display_name":"Petri net","level":2,"score":0.8282561898231506},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.7987614870071411},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7834011316299438},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.6292047500610352},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.5945050716400146},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5587679147720337},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.5490685701370239},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5235295295715332},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5030459761619568},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4968426525592804},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.41231778264045715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3490857779979706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20336464047431946},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3018610.3018626","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3018610.3018626","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 6th ACM SIGPLAN Conference on Certified Programs and Proofs","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.6499999761581421,"display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G699522302","display_name":null,"funder_award_id":"JP16K00109","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W10165608","https://openalex.org/W16315125","https://openalex.org/W46198887","https://openalex.org/W909064011","https://openalex.org/W1519123794","https://openalex.org/W1542112699","https://openalex.org/W1553511155","https://openalex.org/W1561267729","https://openalex.org/W1570743953","https://openalex.org/W1594151678","https://openalex.org/W1900292471","https://openalex.org/W1991066194","https://openalex.org/W2011495892","https://openalex.org/W2011751050","https://openalex.org/W2021196646","https://openalex.org/W2054695370","https://openalex.org/W2106001218","https://openalex.org/W2110917011","https://openalex.org/W2113355185","https://openalex.org/W2135818959","https://openalex.org/W2156825078","https://openalex.org/W2165251681","https://openalex.org/W2177951319","https://openalex.org/W2237589178","https://openalex.org/W2407573942","https://openalex.org/W4300057811","https://openalex.org/W6633885308","https://openalex.org/W6639770882","https://openalex.org/W6653181977","https://openalex.org/W6689535776","https://openalex.org/W6758921281"],"related_works":["https://openalex.org/W1188080205","https://openalex.org/W2534205211","https://openalex.org/W3089305218","https://openalex.org/W2116536633","https://openalex.org/W3201393941","https://openalex.org/W4297791704","https://openalex.org/W27871822","https://openalex.org/W2912489206","https://openalex.org/W2967893065","https://openalex.org/W1484252365"],"abstract_inverted_index":{"Karp-Miller":[0,39,119,176],"tree":[1,40,99,120],"construction":[2,41,100],"on":[3,42,179],"Petri":[4,43,74,183],"nets":[5],"is":[6,101,121],"a":[7,107,111,153,173],"classical":[8,125],"well-known":[9],"algorithm":[10],"to":[11,23,50,167],"construct":[12,24],"the":[13,98,115,131,143],"minimal":[14],"coverability":[15,32,51],"set":[16],"via":[17],"forward":[18],"analysis.":[19],"It":[20],"enables":[21],"us":[22,151],"decision":[25],"procedures":[26],"for":[27,62,69,118,155,175],"several":[28,159],"problems":[29],"such":[30],"as":[31,106],"and":[33,45,54,60,76,90,171],"(place)":[34],"boundedness.":[35],"This":[36,147],"paper":[37],"formalizes":[38],"nets,":[44,75],"its":[46],"correctness":[47],"with":[48,80,110,124,141,152],"respect":[49,142],"using":[52],"Coq":[53,108,145],"Ssreflect.":[55],"Instead":[56],"of":[57,87,97,158,163,182],"showing":[58],"soundness":[59],"completeness":[61],"trees":[63,81],"directly,":[64],"we":[65,83,127],"prove":[66],"these":[67],"properties":[68],"transition":[70],"systems":[71],"derived":[72],"from":[73],"then":[77],"relate":[78],"them":[79],"so":[82,130],"can":[84,134],"make":[85],"use":[86],"well-established":[88],"libraries":[89],"also":[91,172],"avoid":[92],"making":[93],"proofs":[94],"complicated.":[95],"Termination":[96],"guaranteed":[102],"by":[103],"defining":[104],"it":[105,129],"function":[109],"well-foundedness":[112],"proof.":[113],"Although":[114],"termination":[116],"proof":[117],"usually":[122],"made":[123],"reasoning,":[126],"avoided":[128],"whole":[132],"formalization":[133,157],"be":[135,168],"done":[136],"in":[137],"an":[138],"axiom-free":[139],"way":[140],"default":[144],"theory.":[146],"work":[148],"will":[149],"provide":[150],"basis":[154],"further":[156],"optimized":[160],"algorithms,":[161],"some":[162],"which":[164],"are":[165],"known":[166],"error":[169],"prone,":[170],"template":[174],"style":[177],"algorithms":[178],"extended":[180],"variants":[181],"nets.":[184]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
