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arXiv · 1702.02274

Retractions in Intersection Types

Mario Coppo·Mariangiola Dezani-Ciancaglini·Alejandro Díaz-Caro·Ines Margaria·Maddalena Zacchi
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Abstract

This paper deals with retraction - intended as isomorphic embedding - in intersection types building left and right inverses as terms of a lambda calculus with a bottom constant. The main result is a necessary and sufficient condition two strict intersection types must satisfy in order to assure the existence of two terms showing the first type to be a retract of the second one. Moreover, the characterisation of retraction in the standard intersection types is discussed.

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Mario Coppo, Mariangiola Dezani-Ciancaglini, Alejandro Díaz-Caro, Ines Margaria, Maddalena Zacchi. 2017-02-08. Retractions in Intersection Types. https://doi.org/10.4204/eptcs.242.5

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