The Bang Calculus and the Two Girard's Translations

CoRR Pub Date : 2019-04-15 DOI:10.4204/EPTCS.292.2
Giulio Guerrieri, Giulio Manzonetto
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引用次数: 27

Abstract

We study the two Girard's translations of intuitionistic implication into linear logic by exploiting the bang calculus, a paradigmatic functional language with an explicit box-operator that allows both call-by-name and call-by-value lambda-calculi to be encoded in. We investigate how the bang calculus subsumes both call-by-name and call-by-value lambda-calculi from a syntactic and a semantic viewpoint.
《庞氏微积分》和《吉拉德的两个译本》
我们利用bang演算(一种具有显式盒算子的范式函数语言,允许按名称调用和按值调用lambda- calculus)编码,研究了直觉蕴涵在线性逻辑中的两个Girard翻译。我们从语法和语义的角度研究了bang演算是如何将按名称调用和按值调用的lambda- calculus同时包含在内的。
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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