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Traits allow decomposing programs into smaller parts and mixins are a form ofcomposition that resemble multiple inheritance. Unfortunately, in the presenceof traits, programming languages like Scala give up on subtyping relationbetween objects. In this paper, we present a method to check subtyping betweenobjects based on entailment in separation logic. We implement our method as adomain specific language in Scala and apply it on the Scala standard library.We have verified that 67% of mixins used in the Scala standard library doindeed conform to subtyping between the traits that are used to build them.

Verified Subtyping with Traits and Mixins