# Logical equivalence for subtyping object and recursive types

1 MIMOSA - Migration and mobility : semantics and applications
CRISAM - Inria Sophia Antipolis - Méditerranée , Université de Provence - Aix-Marseille 1, MINES ParisTech - École nationale supérieure des mines de Paris
Abstract : Subtyping in first order object calculi is studied with respect to the logical semantics obtained by identifying terms that satisfy the same set of predicates, as formalised through an assignment system. It is shown that equality in the full first order $\varsigma$-calculus is modelled by this notion, which in turn is included in a Morris-style contextual equivalence.
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Cited literature [24 references]

https://hal.inria.fr/inria-00097235
Contributor : Steffen van Bakel <>
Submitted on : Thursday, September 21, 2006 - 11:28:08 AM
Last modification on : Saturday, October 3, 2020 - 3:12:38 AM
Long-term archiving on: : Monday, April 5, 2010 - 10:49:09 PM

### Identifiers

• HAL Id : inria-00097235, version 1

### Citation

Steffen van Bakel, Ugo De'Liguoro. Logical equivalence for subtyping object and recursive types. [Research Report] RR-5985, INRIA. 2006, pp.51. ⟨inria-00097235⟩

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