文章基本信息

标题：Higher-Order Beta Matching with Solutions in Long Beta-Eta Normal Form
本地全文：下载
作者：Kristian Støvring
期刊名称：BRICS Report Series
印刷版ISSN：0909-0878
出版年度：2006
卷号：13
期号：12
出版社：Aarhus University
摘要：Higher-order matching is a special case of unification of simply-typed lambda-terms: in a matching equation, one of the two sides contains no unification variables. Loader has recently shown that higher-order matching up to beta equivalence is undecidable, but decidability of higher-order matching up to beta-eta equivalence is a long-standing open problem. We show that higher-order matching up to beta-eta equivalence is decidable if and only if a restricted form of higher-order matching up to beta equivalence is decidable: the restriction is that solutions must be in long beta-eta normal form.