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Combinatory Reductions and Lambda Reductions Compared

✍ Scribed by Roger Hindley


Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
632 KB
Volume
23
Category
Article
ISSN
0044-3050

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Many familiar models of the untyped lambda calculus are constructed by order-theoretic methods. This paper provides some basic new facts about ordered models of the lambda calculus. We show that in any partially ordered model that is complete for the theory of ÿ-or ÿÁ-conversion, the partial order i