{"title":"A logical framework to prove properties of ALPHA programs","authors":"L. Bougé, D. Cachera","doi":"10.1109/ASAP.1997.606825","DOIUrl":null,"url":null,"abstract":"We present an assertional approach to prove properties of ALPHA programs. ALPHA is a functional language based on affine recurrence equations. We first present two kinds of operational semantics for ALPHA together with some equivalence and confluence properties of these semantics. We then present an attempt to provide ALPHA with an external logical framework. We therefore define a proof method based on invariants. We focus on a particular class of invariants, namely canonical invariants, that are a logical expression of the program's semantics. We finally show that this framework is well-suited to prove partial properties, equivalence properties between ALPHA programs and properties that we cannot express within the ALPHA language.","PeriodicalId":368315,"journal":{"name":"Proceedings IEEE International Conference on Application-Specific Systems, Architectures and Processors","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings IEEE International Conference on Application-Specific Systems, Architectures and Processors","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ASAP.1997.606825","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We present an assertional approach to prove properties of ALPHA programs. ALPHA is a functional language based on affine recurrence equations. We first present two kinds of operational semantics for ALPHA together with some equivalence and confluence properties of these semantics. We then present an attempt to provide ALPHA with an external logical framework. We therefore define a proof method based on invariants. We focus on a particular class of invariants, namely canonical invariants, that are a logical expression of the program's semantics. We finally show that this framework is well-suited to prove partial properties, equivalence properties between ALPHA programs and properties that we cannot express within the ALPHA language.
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