Examples of subtyping

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These encodings assume that the subtyping relation is completely known a priori.
Subtyping of cattle isolates revealed a high degree of overlap between cattle and human isolates.
This leads us to a type system with subtyping, such that an expression of a trusted type can be typed as an untrusted type.
In all these cases, subtyping performs a major role.
We give a denotational semantics to a calculus with overloading and subtyping.
In what follows, we thus formulate an intermediate subtyping relation - which is not syntax-directed - and assume in our proofs that the two systems are equivalent.
The lack of a notion of equality may also have consequences for the implementation of type theories with subtyping.
They not only justify the adequacy of the theory from the proof-theoretic perspective, but provide a basis for implementations of coercive subtyping.
We study typed behavioural equivalences for the -calculus in which the type system allows a form of subtyping.
On top of the stage comparison relation, another set of rules defines a subtyping relation on types.
Subtyping is an essential part of most of these systems.
Its type system is based on regular expressions, which describe the nesting of elements, and subtyping.
The interface is parameterized by an encoding, via phantom types, of the subtyping hierarchy.
The subtyping problem for second order types is undecidable.
Subtyping bulimic women along dietary restraint and negative affect dimensions.
This is the only case in which a subtyping derivation not containing promotion relates two types that are not -equal.
In this paper, we have focused on encoding subtyping information.

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