Statman's Hierarchy Theorem

In the Simply Typed $\lambda$-calculus Statman investigates the reducibility relation $\leq_{\beta\eta}$ between types: for $A,B \in \mathbb{T}^0$, types freely generated using $\rightarrow$ and a single ground type $0$, define $A \leq_{\beta\eta} B$ if there exists a $\lambda$-definable injection f...

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Bibliographic Details
Main Authors: Bram Westerbaan, Bas Westerbaan, Rutger Kuyper, Carst Tankink, Remy Viehoff, Henk Barendregt
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2017-11-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/4074/pdf