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Michele Bugliesi and Santiago M. Pericas-Geertsen

Depth subtyping and type inference for object calculi

In Proc. Seventh Workshop on Foundations of Object-Oriented Languages, Boston, Mass., U.S.A., 2000


We present a new type system based on the notion of Split types. In this system, every method is assigned two types, namely, an update type and a select type. We show that the system of Split types is strictly more powerful than the system of recursive types and that type inference remains decidable and feasible. We include a number of interesting examples not typable with recursive types that are typable with Split types. In particular, we demonstrate that the subtyping relation needed to encode the lambda-calculus into the Abadi and Cardelli's varsigma-calculus holds. We also present a polynomial-time algorithm that infers Split types and show that it is sound and complete with respect to the type system. We conclude our presentation by relating the typing power of Split types to the typing power of other systems, such as, the system of recursive types with variance annotations and the system of Self types.


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