The Barendregt Cube with Definitions and Generalised Reduction


AbstractIn this paper, we propose to extend the Barendregt Cube by generalisingβ-reduction and by adding definition mechanisms. Generalised reduction allows contracting more visible redexes than usual, and definitions are an important tool to allow for a more flexible typing system. We show that this extension satisfies most of the original properties of the Cube including Church-Rosser, Subject Reduction and Strong Normalisation

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Last time updated on 06/05/2017

This paper was published in Elsevier - Publisher Connector .

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