From Self-Interpreters to Normalization by Evaluation

Mathieu Boespflug

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arXiv · 0911.4203

From Self-Interpreters to Normalization by Evaluation

Mathieu Boespflug

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Abstract

We characterize normalization by evaluation as the composition of a self-interpreter with a self-reducer using a special representation scheme, in the sense of Mogensen (1992). We do so by deriving in a systematic way an untyped normalization by evaluation algorithm from a standard interpreter for the ?-calculus. The derived algorithm is not novel and indeed other published algorithms may be obtained in the same manner through appropriate adaptations to the representation scheme.

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Mathieu Boespflug. 2009-11-21. From Self-Interpreters to Normalization by Evaluation. https://arxiv.org/abs/0911.4203

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