Mixin Composition Synthesis Based on Intersection Types *

Jan Bessai, Andrej Dudenhefner, Boris Düdder, Tzu-Chun Chen, Ugo De'liguoro, Jakob Rehof
unpublished
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
more » ... een 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 corresponds to a mixin composition typed by the goal type.
fatcat:ohfohz33dnbq3o2k3xq7zv5n44