{"title":"过渡系统的积与Petri网的补充","authors":"Raymond R. Devillers","doi":"10.1109/ACSD.2016.10","DOIUrl":null,"url":null,"abstract":"It is well-known that the reachability graph of a sum of disjoint Petri nets is the disjoint product of the reachability graphs of the components. We shall consider here the converse problem, i.e., determine when and how a transition system may be decomposed in non-trivial concurrent factors, and extend the theory to more general labelled transition systems. Meanwhile, we shall develop interesting algebraic properties of disjoint products.","PeriodicalId":334903,"journal":{"name":"2016 16th International Conference on Application of Concurrency to System Design (ACSD)","volume":"89 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Products of Transition Systems and Additions of Petri Nets\",\"authors\":\"Raymond R. Devillers\",\"doi\":\"10.1109/ACSD.2016.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is well-known that the reachability graph of a sum of disjoint Petri nets is the disjoint product of the reachability graphs of the components. We shall consider here the converse problem, i.e., determine when and how a transition system may be decomposed in non-trivial concurrent factors, and extend the theory to more general labelled transition systems. Meanwhile, we shall develop interesting algebraic properties of disjoint products.\",\"PeriodicalId\":334903,\"journal\":{\"name\":\"2016 16th International Conference on Application of Concurrency to System Design (ACSD)\",\"volume\":\"89 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-06-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 16th International Conference on Application of Concurrency to System Design (ACSD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACSD.2016.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 16th International Conference on Application of Concurrency to System Design (ACSD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACSD.2016.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Products of Transition Systems and Additions of Petri Nets
It is well-known that the reachability graph of a sum of disjoint Petri nets is the disjoint product of the reachability graphs of the components. We shall consider here the converse problem, i.e., determine when and how a transition system may be decomposed in non-trivial concurrent factors, and extend the theory to more general labelled transition systems. Meanwhile, we shall develop interesting algebraic properties of disjoint products.