{"title":"A categorical semantics of constructions","authors":"T. Ehrhard","doi":"10.1109/LICS.1988.5125","DOIUrl":null,"url":null,"abstract":"An abstract framework is proposed for the description of the type dependency semantics. It is claimed that the notion of fibration introduced by A. Grothendieck in the 1960s is perfectly adapted to this goal and provides the greatest simplicity and generality. This semantics is extended to higher order, and an explanation is given of what a general definition for the semantics of the theory of constructions could be.<<ETX>>","PeriodicalId":425186,"journal":{"name":"[1988] Proceedings. Third Annual Information Symposium on Logic in Computer Science","volume":"72 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"49","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1988] Proceedings. Third Annual Information Symposium on Logic in Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LICS.1988.5125","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 49
Abstract
An abstract framework is proposed for the description of the type dependency semantics. It is claimed that the notion of fibration introduced by A. Grothendieck in the 1960s is perfectly adapted to this goal and provides the greatest simplicity and generality. This semantics is extended to higher order, and an explanation is given of what a general definition for the semantics of the theory of constructions could be.<>