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  • 标题:A General Schema for Constructing One-Point Bases in the Lambda Calculus
  • 本地全文:下载
  • 作者:Mayer Goldberg
  • 期刊名称:BRICS Report Series
  • 印刷版ISSN:0909-0878
  • 出版年度:2001
  • 卷号:8
  • 期号:35
  • 出版社:Aarhus University
  • 摘要:In this paper, we present a schema for constructing one-point bases for recursively enumerable sets of lambda terms. The novelty of the approach is that we make no assumptions about the terms for which the one-point basis is constructed: They need not be combinators and they may contain constants and free variables. The significance of the construction is twofold: In the context of the lambda calculus, it characterises one-point bases as ways of ``packaging'' sets of terms into a single term; And in the context of realistic programming languages, it implies that we can define a single procedure that generates any given recursively enumerable set of procedures, constants and free variables in a given programming language.
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