文章基本信息

标题：A Lambda Term Representation Inspired by Linear Ordered Logic
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作者：Andreas Abel ; Nicolai Kraus
期刊名称：Electronic Proceedings in Theoretical Computer Science
电子版ISSN：2075-2180
出版年度：2011
卷号：71
页码：1-13
DOI：10.4204/EPTCS.71.1
出版社：Open Publishing Association
摘要：We introduce a new nameless representation of lambda terms inspired by ordered logic. At a lambda abstraction, number and relative position of all occurrences of the bound variable are stored, and application carries the additional information where to cut the variable context into function and argument part. This way, complete information about free variable occurrence is available at each subterm without requiring a traversal, and environments can be kept exact such that they only assign values to variables that actually occur in the associated term. Our approach avoids space leaks in interpreters that build function closures.
In this article, we prove correctness of the new representation and present an experimental evaluation of its performance in a proof checker for the Edinburgh Logical Framework.
关键词：representation of binders; explicit substitutions; ordered contexts; space ;leaks; Logical Framework.