Another algorithm for bracket abstraction

Another algorithm for bracket abstraction
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另一种括号抽象算法

DOI:
10.2307/2273733
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发表时间:
1979
影响因子:
0.6
通讯作者:
D. Turner
D. Turner
中科院分区:
数学3区
文献类型:
--
作者:
D. Turner

文献摘要

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这篇简短的文章提出了一种括号抽象算法[1],当重复应用于一系列变量的抽象时,避免了结果表达式大小的组合爆炸。它与以前的解决方案[2]的不同之处在于只引入了有限数量的附加组合子,并且不需要在单个操作中一起处理所有要抽象的变量。
This short article presents an algorithm for bracket abstraction [1] which avoids a combinatorial explosion in the size of the resulting expression when applied repeatedly for abstraction in a series of variables. It differs from a previous solution [2] in introducing only a finite number of additional combinators and in not requiring that all the variables to be abstracted be treated together in a single operation.