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arXiv · 1307.8202

Characterisation of Strongly Normalising lambda-mu-Terms

Steffen van Bakel·Franco Barbanera·Ugo de'Liguoro
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Abstract

We provide a characterisation of strongly normalising terms of the lambda-mu-calculus by means of a type system that uses intersection and product types. The presence of the latter and a restricted use of the type omega enable us to represent the particular notion of continuation used in the literature for the definition of semantics for the lambda-mu-calculus. This makes it possible to lift the well-known characterisation property for strongly-normalising lambda-terms - that uses intersection types - to the lambda-mu-calculus. From this result an alternative proof of strong normalisation for terms typeable in Parigot's propositional logical system follows, by means of an interpretation of that system into ours.

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Steffen van Bakel, Franco Barbanera, Ugo de'Liguoro. 2013-07-31. Characterisation of Strongly Normalising lambda-mu-Terms. https://doi.org/10.4204/eptcs.121.1

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