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Towards Lambda Calculus Order-Incompleteness

✍ Scribed by Antonino Salibra


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
263 KB
Volume
50
Category
Article
ISSN
1571-0661

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πŸ“œ SIMILAR VOLUMES


Order-incompleteness and finite lambda r
✍ Peter Selinger πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 351 KB

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