{"title":"A Proof System in Process Algebra for Demand and Supply","authors":"Xinghua Yao, Yixiang Chen","doi":"10.1109/SERE-C.2014.44","DOIUrl":null,"url":null,"abstract":"Process Algebra for Demand and Supply (shortly, PADS), proposed by Philippou et al., is a process algebra model for the formal analysis of hierarchical scheduling. They introduce a basic notion of supply simulation relation to characterize task's schedulability. In this paper, we first investigate some properties of supply simulation relation. And then based on these properties, we present a proof system for the supply simulation relation in a decomposing-composing way and prove its soundness and completeness with respect to the semantic definition of a supply simulation relation. The soundness and completeness guarantee that the proof system is used to determine whether a task is schedulable by a supply or not.","PeriodicalId":373062,"journal":{"name":"2014 IEEE Eighth International Conference on Software Security and Reliability-Companion","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 IEEE Eighth International Conference on Software Security and Reliability-Companion","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SERE-C.2014.44","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Process Algebra for Demand and Supply (shortly, PADS), proposed by Philippou et al., is a process algebra model for the formal analysis of hierarchical scheduling. They introduce a basic notion of supply simulation relation to characterize task's schedulability. In this paper, we first investigate some properties of supply simulation relation. And then based on these properties, we present a proof system for the supply simulation relation in a decomposing-composing way and prove its soundness and completeness with respect to the semantic definition of a supply simulation relation. The soundness and completeness guarantee that the proof system is used to determine whether a task is schedulable by a supply or not.
供不应求的过程代数(Process Algebra for Demand and Supply，简称PADS)是Philippou等人提出的用于形式化分析分层调度的过程代数模型。他们引入了供应仿真关系的基本概念来表征任务的可调度性。本文首先研究了供给模拟关系的一些性质。在此基础上，以分解组合的方式给出了供给仿真关系的证明体系，并从供给仿真关系的语义定义出发，证明了其完备性。证明系统的健全性和完备性保证了证明系统被用来确定一个任务是否可被一个供应商调度。
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