{"title":"Certification of microprograms by an algebraic method","authors":"A. Blikle, S. Budkowski","doi":"10.1145/800145.804779","DOIUrl":null,"url":null,"abstract":"This algebraic method provides a mathematical framework for proving input-output properties (such as partial and total correctness) of iterative programs. Technically it uses a calculus of binary relations extended with fixed-point equations. The method has been tested on several microprograms of a computer's arithmetical unit. One example of such a microprogram and its correctness proof is discussed in the paper.","PeriodicalId":202585,"journal":{"name":"MICRO 9","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1976-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"MICRO 9","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800145.804779","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
This algebraic method provides a mathematical framework for proving input-output properties (such as partial and total correctness) of iterative programs. Technically it uses a calculus of binary relations extended with fixed-point equations. The method has been tested on several microprograms of a computer's arithmetical unit. One example of such a microprogram and its correctness proof is discussed in the paper.