Normalization, Taylor expansion and rigid approximation of $\lambda$-terms

Federico Olimpieri

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arXiv · 2001.01619

Normalization, Taylor expansion and rigid approximation of $\lambda$-terms

Federico Olimpieri

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Abstract

The aim of this work is to characterize three fundamental normalization proprieties in lambda-calculus trough the Taylor expansion of $ \lambda$-terms. The general proof strategy consists in stating the dependence of ordinary reduction strategies on their resource counterparts and in finding a convenient resource term in the Taylor expansion that behaves well under the considered kind of reduction.

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Federico Olimpieri. 2020-01-06. Normalization, Taylor expansion and rigid approximation of $\lambda$-terms. https://arxiv.org/abs/2001.01619

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