{"title":"The Church-Rosser property for beta eta -reduction in typed lambda -calculi","authors":"H. Geuvers","doi":"10.1109/LICS.1992.185556","DOIUrl":null,"url":null,"abstract":"The Church-Rosser property (CR) for pure type systems with beta eta -reduction is investigated. It is proved that CR (for beta eta ) on the well-typed terms of a fixed type holds, which is the maximum one can expect in view of Nederpelt's (1973) counterexample. The proof is given for a large class of pure type systems that contains, e.g., LF F, F omega , and the calculus of constructions.<<ETX>>","PeriodicalId":6412,"journal":{"name":"[1992] Proceedings of the Seventh Annual IEEE Symposium on Logic in Computer Science","volume":"49 1","pages":"453-460"},"PeriodicalIF":0.0000,"publicationDate":"1992-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"22","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1992] Proceedings of the Seventh Annual IEEE Symposium on Logic in Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LICS.1992.185556","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 22
Abstract
The Church-Rosser property (CR) for pure type systems with beta eta -reduction is investigated. It is proved that CR (for beta eta ) on the well-typed terms of a fixed type holds, which is the maximum one can expect in view of Nederpelt's (1973) counterexample. The proof is given for a large class of pure type systems that contains, e.g., LF F, F omega , and the calculus of constructions.<>
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