Full abstraction and universality via realisability

Michael Marz, Alexander Rohr, T. Streicher
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引用次数: 15

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.
充分的抽象和普遍性通过可实现性
我们构造了PCF的全抽象可实现模型。特别地,我们证明了Longley-Phoa猜想的一个变体,证明了在带算术的非类型化/spl λ /-微积分上的可实现性模型对于PCF是完全抽象的。进一步,我们考虑将我们的结果扩展到通用顺序函数式编程语言SFPL,从而产生SFPL的通用可实现模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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