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arXiv · 1712.06906

Mixin Composition Synthesis based on Intersection Types

Jan Bessai·Tzu-Chun Chen·Andrej Dudenhefner·Boris Düdder·Ugo de'Liguoro·Jakob Rehof
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Abstract

We present a method for synthesizing compositions of mixins using type inhabitation in intersection types. First, recursively defined classes and mixins, which are functions over classes, are expressed as terms in a lambda calculus with records. Intersection types with records and record-merge are used to assign meaningful types to these terms without resorting to recursive types. Second, typed terms are translated to a repository of typed combinators. We show a relation between record types with record-merge and intersection types with constructors. This relation is used to prove soundness and partial completeness of the translation with respect to mixin composition synthesis. Furthermore, we demonstrate how a translated repository and goal type can be used as input to an existing framework for composition synthesis in bounded combinatory logic via type inhabitation. The computed result is a class typed by the goal type and generated by a mixin composition applied to an existing class.

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Jan Bessai, Tzu-Chun Chen, Andrej Dudenhefner, Boris Düdder, Ugo de'Liguoro, Jakob Rehof. 2017-12-19. Mixin Composition Synthesis based on Intersection Types. https://doi.org/10.23638/lmcs-14(1%3A18)2018

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