{"title":"Petri 网中的对称性问题","authors":"A. Staines","doi":"10.37394/23205.2024.23.15","DOIUrl":null,"url":null,"abstract":"Symmetry is a fundamental mathematical property applicable to the description of various shapes both geometrical and representational. Symmetry is central to understanding the nature of various objects. It can be used as a simplifying principle when structures are created. Petri nets are widely covered formalisms, useful for modeling different types of computer systems or computer configurations. Different forms of Petri nets exist along with several forms of representation. Petri nets are useful for i) deterministic and ii) non-deterministic modeling. The aspect of symmetry in Petri nets requires in-depth treatment that is often overlooked. Symmetry is a fundamental property found in Petri nets. This work tries to briefly touch on these properties and explain them with simple examples. Hopefully, readers will be inspired to carry out more work in this direction.","PeriodicalId":332148,"journal":{"name":"WSEAS TRANSACTIONS ON COMPUTERS","volume":"2 5","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Aspects of Symmetry in Petri Nets\",\"authors\":\"A. Staines\",\"doi\":\"10.37394/23205.2024.23.15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Symmetry is a fundamental mathematical property applicable to the description of various shapes both geometrical and representational. Symmetry is central to understanding the nature of various objects. It can be used as a simplifying principle when structures are created. Petri nets are widely covered formalisms, useful for modeling different types of computer systems or computer configurations. Different forms of Petri nets exist along with several forms of representation. Petri nets are useful for i) deterministic and ii) non-deterministic modeling. The aspect of symmetry in Petri nets requires in-depth treatment that is often overlooked. Symmetry is a fundamental property found in Petri nets. This work tries to briefly touch on these properties and explain them with simple examples. Hopefully, readers will be inspired to carry out more work in this direction.\",\"PeriodicalId\":332148,\"journal\":{\"name\":\"WSEAS TRANSACTIONS ON COMPUTERS\",\"volume\":\"2 5\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"WSEAS TRANSACTIONS ON COMPUTERS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/23205.2024.23.15\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS TRANSACTIONS ON COMPUTERS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23205.2024.23.15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
对称是一种基本的数学特性,适用于描述各种几何形状和表象形状。对称是理解各种物体性质的核心。在创建结构时,它可以用作简化原则。Petri 网是一种广泛应用的形式主义,可用于对不同类型的计算机系统或计算机配置进行建模。不同形式的 Petri 网有多种表示方法。Petri 网适用于 i) 确定性建模和 ii) 非确定性建模。Petri 网中的对称性需要深入处理,而这一点往往被忽视。对称性是 Petri 网的一个基本属性。本著作试图简要地介绍这些特性,并通过简单的例子加以解释。希望读者能从中受到启发,在这方面开展更多的工作。
Symmetry is a fundamental mathematical property applicable to the description of various shapes both geometrical and representational. Symmetry is central to understanding the nature of various objects. It can be used as a simplifying principle when structures are created. Petri nets are widely covered formalisms, useful for modeling different types of computer systems or computer configurations. Different forms of Petri nets exist along with several forms of representation. Petri nets are useful for i) deterministic and ii) non-deterministic modeling. The aspect of symmetry in Petri nets requires in-depth treatment that is often overlooked. Symmetry is a fundamental property found in Petri nets. This work tries to briefly touch on these properties and explain them with simple examples. Hopefully, readers will be inspired to carry out more work in this direction.