文章基本信息

标题：Equality, Quasi-Implicit Products, and Large Eliminations
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作者：Vilhelm Sjöberg ; Aaron Stump
期刊名称：Electronic Proceedings in Theoretical Computer Science
电子版ISSN：2075-2180
出版年度：2010
卷号：45
页码：90-100
DOI：10.4204/EPTCS.45.7
出版社：Open Publishing Association
摘要：This paper presents a type theory with a form of equality reflection: provable equalities can be used to coerce the type of a term. Coercions and other annotations, including implicit arguments, are dropped during reduction of terms. We develop the metatheory for an undecidable version of the system with unannotated terms. We then devise a decidable system with annotated terms, justified in terms of the unannotated system. Finally, we show how the approach can be extended to account for large eliminations, using what we call quasi-implicit products.