{"title":"Cyclic Petri Net Reachability Sets are Semi-linear Effectively Constructible","authors":"Zakaria Bouziane , Alain Finkel","doi":"10.1016/S1571-0661(05)80423-2","DOIUrl":null,"url":null,"abstract":"<div><div>We prove that cyclic Petri net reachability sets are finite unions of linear combinations of integer vectors whose sizes are exponential in the size of the cyclic Petri net.</div></div>","PeriodicalId":38770,"journal":{"name":"Electronic Notes in Theoretical Computer Science","volume":"9 ","pages":"Pages 15-24"},"PeriodicalIF":0.0000,"publicationDate":"1997-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Theoretical Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571066105804232","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2005/5/17 0:00:00","PubModel":"Epub","JCR":"Q3","JCRName":"Computer Science","Score":null,"Total":0}
引用次数: 0
Abstract
We prove that cyclic Petri net reachability sets are finite unions of linear combinations of integer vectors whose sizes are exponential in the size of the cyclic Petri net.
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