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标题：Solving Equations in the lambda-Calculus using Syntactic Encapsulation
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作者：Mayer Goldberg
期刊名称：BRICS Report Series
印刷版ISSN：0909-0878
出版年度：1995
卷号：2
期号：49
出版社：Aarhus University
摘要：Syntactic encapsulation is a relation between an expression and one of its sub-expressions, that constraints how the given sub-expression can be used throughout the reduction of the expression. In this paper, we present a class of systems of equations, in which the right-hand side of each equation is syntactically encapsulated in the left-hand side. This class is general enough to allow equations to contain self-application, and to allow unknowns to appear on both sides of the equation. Yet such a system is simple enough to be solvable, and for a solution (though of course not its normal form) to be obtainable in constant time. Keywords: lambda-calculus, programming calculi.