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Subtyping object and recursive types logically

Steffen van Bakel, Ugo de'Liguoro

Conference or Workshop Paper
9th Italian Conference on Theoretical Computer Science (ICTCS'05), Siena, Italy
October, 2005
Lecture Notes in Computer Science
Volume 3701
DOI 10.1007/11560586

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 $varsigma$-calculus is modeled by this notion, which is included in a Morris-style contextual equivalence.

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