Exact Bounds for lengths of reductions in typed λ-calculus

Journal of Symbolic Logic 66 (3):1277-1285 (2001)
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Abstract

We determine the exact bounds for the length of an arbitrary reduction sequence of a term in the typed λ-calculus with β-, ξ- and η-conversion. There will be two essentially different classifications, one depending on the height and the degree of the term and the other depending on the length and the degree of the term

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10.2307/2695106

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Citations of this work

Elementary Proof of Strong Normalization for Atomic F.Fernando Ferreira & Gilda Ferreira - 2016 - Bulletin of the Section of Logic 45 (1):1-15.
Herbrand's theorem as higher order recursion.Bahareh Afshari, Stefan Hetzl & Graham E. Leigh - 2020 - Annals of Pure and Applied Logic 171 (6):102792.
A decidable theory of type assignment.William R. Stirton - 2013 - Archive for Mathematical Logic 52 (5-6):631-658.

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References found in this work

The Lambda Calculus. Its Syntax and Semantics.E. Engeler - 1984 - Journal of Symbolic Logic 49 (1):301-303.
An upper bound for reduction sequences in the typed λ-calculus.Helmut Schwichtenberg - 1991 - Archive for Mathematical Logic 30 (5-6):405-408.

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