文章基本信息

标题：Step-Indexed Normalization for a Language with General Recursion
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作者：Chris Casinghino ; Vilhelm Sjöberg ; Stephanie Weirich 等
期刊名称：Electronic Proceedings in Theoretical Computer Science
电子版ISSN：2075-2180
出版年度：2012
卷号：76
页码：25-39
DOI：10.4204/EPTCS.76.4
出版社：Open Publishing Association
摘要：The Trellys project has produced several designs for practical dependently typed languages. These languages are broken into two fragments—a _logical_ fragment where every term normalizes and which is consistent when interpreted as a logic, and a _programmatic_ fragment with general recursion and other convenient but unsound features. In this paper, we present a small example language in this style. Our design allows the programmer to explicitly mention and pass information between the two fragments. We show that this feature substantially complicates the metatheory and present a new technique, combining the traditional Girard-Tait method with step-indexed logical relations, which we use to show normalization for the logical fragment.