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arXiv · 1702.02273

Characterisation of Approximation and (Head) Normalisation for $\lambda\mu$ using Strict Intersection Types

Steffen van Bakel
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Abstract

We study the strict type assignment for lambda-mu that is presented in [van Bakel'16]. We define a notion of approximants of lambda-mu-terms, show that it generates a semantics, and that for each typeable term there is an approximant that has the same type. We show that this leads to a characterisation via assignable types for all terms that have a head normal form, and to one for all terms that have a normal form, as well as to one for all terms that are strongly normalisable.

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Steffen van Bakel. 2017-02-08. Characterisation of Approximation and (Head) Normalisation for $\lambda\mu$ using Strict Intersection Types. https://doi.org/10.4204/eptcs.242.4

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