Upper Bounds for standardizations and an application

Journal of Symbolic Logic 64 (1):291-303 (1999)
We present a new proof for the standardization theorem in λ-calculus, which is largely built upon a structural induction on λ-terms. We then extract some bounds for the number of β-reduction steps in the standard β-reduction sequence obtained from transforming a given β-reduction sequence, sharpening the standardization theorem. As an application, we establish a super exponential bound for the lengths of β-reduction sequences from any given simply typed λ-terms
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DOI 10.2307/2586765
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References found in this work BETA
Gerd Mitschke (1979). The Standardization Theorem for Λ-Calculus. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 25 (1-2):29-31.
Gerd Mitschke (1979). The Standardization Theorem for Λ‐Calculus. Mathematical Logic Quarterly 25 (1‐2):29-31.

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