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arXiv · 1109.4570

Reduction in X does not agree with Intersection and Union Types (Extended abstract)

Steffen van Bakel
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Abstract

This paper defines intersection and union type assignment for the calculus X, a substitution free language that enjoys the Curry-Howard correspondence with respect to Gentzen's sequent calculus for classical logic. We show that this notion is closed for subject-expansion, and show that it needs to be restricted to satisfy subject-reduction as well, making it unsuitable to define a semantics.

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Steffen van Bakel. 2011-09-21. Reduction in X does not agree with Intersection and Union Types (Extended abstract). https://arxiv.org/abs/1109.4570

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