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Subtyping object and recursive types logically

By Steffen Van Bakel Ugo De’liguoro


Abstract. We study subtyping in first-order object calculi with respect to the logical semantics obtained by identifying terms that satisfy the same set of predicates, as formalized through an assignment system. It is shown that equality in the full first-order ς-calculus is modeled by this notion, which is included in a Morris-style contextual equivalence.

Year: 2005
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