{"title":"充分的抽象和普遍性通过可实现性","authors":"Michael Marz, Alexander Rohr, T. Streicher","doi":"10.1109/LICS.1999.782612","DOIUrl":null,"url":null,"abstract":"We construct fully abstract realisability models of PCF. In particular, we prove a variant of the Longley-Phoa Conjecture by showing that the realisability model over an untyped /spl lambda/-calculus with arithmetic is fully abstract for PCF. Further we consider the extension of our results to a general sequential functional programming language SFPL giving rise to universal realisability models for SFPL.","PeriodicalId":352531,"journal":{"name":"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)","volume":"90 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"Full abstraction and universality via realisability\",\"authors\":\"Michael Marz, Alexander Rohr, T. Streicher\",\"doi\":\"10.1109/LICS.1999.782612\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We construct fully abstract realisability models of PCF. In particular, we prove a variant of the Longley-Phoa Conjecture by showing that the realisability model over an untyped /spl lambda/-calculus with arithmetic is fully abstract for PCF. Further we consider the extension of our results to a general sequential functional programming language SFPL giving rise to universal realisability models for SFPL.\",\"PeriodicalId\":352531,\"journal\":{\"name\":\"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)\",\"volume\":\"90 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/LICS.1999.782612\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LICS.1999.782612","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Full abstraction and universality via realisability
We construct fully abstract realisability models of PCF. In particular, we prove a variant of the Longley-Phoa Conjecture by showing that the realisability model over an untyped /spl lambda/-calculus with arithmetic is fully abstract for PCF. Further we consider the extension of our results to a general sequential functional programming language SFPL giving rise to universal realisability models for SFPL.