A recursive normalizing one-step reduction strategy for the distributive lambda calculus

Anton Salikhmetov

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arXiv · 1204.3158

A recursive normalizing one-step reduction strategy for the distributive lambda calculus

Anton Salikhmetov

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Abstract

We positively answer the question A.1.6 in J. Klop's "Ustica Notes": "Is there a recursive normalizing one-step reduction strategy for micro $\lambda$-calculus?" Micro $\lambda$-calculus refers to an implementation of the $\lambda$-calculus due to Revesz, implementing $\beta$-reduction by means of "micro steps" recursively distributing a $\beta$-redex $(\lambda x.M)\ N$ over its body $M$.

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Anton Salikhmetov. 2012-04-14. A recursive normalizing one-step reduction strategy for the distributive lambda calculus. https://arxiv.org/abs/1204.3158

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