{"title":"Retracts in simply type lambda beta eta -calculus","authors":"Ugo de'Liguoro, A. Piperno, R. Statman","doi":"10.1109/LICS.1992.185557","DOIUrl":null,"url":null,"abstract":"Retractions existing in all models of simply typed lambda -calculus are studied and related to other relations among types, such as isomorphisms, surjections, and injections. A formal system to deduce the existence of such retractions is shown to be sound and complete with respect to retractions definable by linear lambda -terms. Results aiming at a system complete with respect to the provable retractions tout court are established.<<ETX>>","PeriodicalId":6412,"journal":{"name":"[1992] Proceedings of the Seventh Annual IEEE Symposium on Logic in Computer Science","volume":"59 1","pages":"461-469"},"PeriodicalIF":0.0000,"publicationDate":"1992-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","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.1992.185557","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
Retractions existing in all models of simply typed lambda -calculus are studied and related to other relations among types, such as isomorphisms, surjections, and injections. A formal system to deduce the existence of such retractions is shown to be sound and complete with respect to retractions definable by linear lambda -terms. Results aiming at a system complete with respect to the provable retractions tout court are established.<>
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