Interpretations of Extensible Objects and Types

We present a type-theoretic encoding of extensible objects and types. The ambient theory is a higher-order λ-calculus with polymorphic types, recursive types and operators, and subtyping. Using this theory, we give a type preserving and computationally adequate translation of a full-fledged object calculus that includes object extension and override. The translation specializes to calculi of nonextensible objects and validates the expected subtyping relationships.

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