/spl pi/-演算中的强归一化

N. Yoshida, Martin Berger, Kohei Honda
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引用次数: 29

摘要

引入类型化/spl pi/-演算,通过可类型性确保强规范化。在许多计算环境(包括分布式系统)中,强规范化是一个有用的属性。尽管它很简单,但我们的类型规程捕获了广泛的集合命名传递交互行为。强规格化性的证明结合了类型化/spl λ /-演算和线性逻辑的方法以及过程论推理。它适用于涉及状态和其他扩展的系统。强规范化被证明具有重要的结果,包括弱双相似性的有限公理化,具有乘积和和的简单类型/spl λ /-微积分的完全抽象嵌入以及交互中的基本活跃性。强归一化性作为函数演算、项重写和逻辑系统中的一个基本性质得到了广泛的研究。这项工作是将强规范化理论和证明方法扩展到名称传递过程背景的第一步。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Strong normalisation in the /spl pi/-calculus
Introduces a typed /spl pi/-calculus where strong normalisation is ensured by typability. Strong normalisation is a useful property in many computational contexts, including distributed systems. In spite of its simplicity, our type discipline captures a wide class of converging name-passing interactive behaviours. The proof of strong normalisability combines methods from typed /spl lambda/-calculi and linear logic with process-theoretic reasoning. It is adaptable to systems involving state and other extensions. Strong normalisation is shown to have significant consequences, including finite axiomatisation of weak bisimilarity, a fully abstract embedding of the simply-typed /spl lambda/-calculus with products and sums and basic liveness in interaction. Strong normalisability has been extensively studied as a fundamental property in functional calculi, term rewriting and logical systems. This work is one of the first steps to extend theories and proof methods for strong normalisability to the context of name-passing processes.
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