Call by need computations to root-stable form

Call by need computations to root-stable form
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按需要计算调用根稳定形式

DOI:
10.1145/263699.263711
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发表时间:
1997
期刊:
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影响因子:
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通讯作者:
A. Middeldorp
A. Middeldorp
中科院分区:
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文献类型:
--
作者:
A. Middeldorp

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Huet和Lévy的以下理论构成了所有结果的基础,以正交术语重写系统的最佳减少策略:每个术语不以正常形式以正常形式包含所需的REEX,并且需要重复的所需ReexES以正常形式产生术语,如果该术语均为术语。考虑到我们将这种理论推广到根稳定的形式,我们认为,在无限制正常化方面,产生的根含量概念比(其他变体)更基本。
The following theorem of Huet and Lévy forms the basis of all results on optimal reduction strategies for orthogonal term rewriting systems: every term not in normal form contains a needed redex, and repeated contraction of needed redexes results in the normal form, if the term under consideration has one. We generalize this theorem to computations to root-stable form and we argue that the resulting notion of root-neededness is more fundamental than (other variants of) neededness when it comes to infinitary normalization.