In programming language theory, subtyping (also subtype polymorphism or inclusion polymorphism) is a form of type polymorphism in which a subtype is a datatype that is related to another datatype (the supertype) by some notion of substitutability, meaning that program elements, typically subroutines or … See more The notion of subtyping in programming languages dates back to the 1960s; it was introduced in Simula derivatives. The first formal treatments of subtyping were given by John C. Reynolds in 1980 who used category theory to … See more A simple practical example of subtypes is shown in the diagram. The type "bird" has three subtypes "duck", "cuckoo" and "ostrich". … See more Type theorists make a distinction between nominal subtyping, in which only types declared in a certain way may be subtypes of each other, and structural subtyping, in which the structure of two types determines whether or not one is a subtype of the other. … See more Subtyping and inheritance are independent (orthogonal) relationships. They may coincide, but none is a special case of the other. In other … See more In type theory the concept of subsumption is used to define or evaluate whether a type S is a subtype of type T. A type is a set of … See more Width and depth subtyping Types of records give rise to the concepts of width and depth subtyping. These express two … See more If T1 → T2 is a function type, then a subtype of it is any function type S1 → S2 with the property that T1 <: S1 and S2 <: T2. This can be … See more Web24 Dec 2024 · Types of Polymorphism in Scala: Scala polymorphism has two main principle forms and the third is similar to generics with a twist: Subtyping Polymorphism. Generics or Parametric Polymorphism. Ad-hoc Polymorphism. 1.) Subtyping : In subtyping, an instance of a subclass can be passed to a base class in a subclass.
Parametric polymorphism, Records, and Subtyping
Web30 Oct 2024 · Subtype polymorphism allows us to reduce boiler-plate by treating entire groups of types the same based on their position in a type hierarchy. Importantly, it allows us to do this despite having disparate implementations in the invoked methods between the types in the hierarchy. WebThe subtyping relation, used in conjunction with delayed binding, introduces a new kind of polymorphism for methods: inclusion polymorphism. It lets the same message be sent to instances of different types, provided they have been constrained to the same subtype. safety assurance process
Subtyping - Wikipedia
Web27 Dec 2024 · Parametric polymorphism: when one or more types are not specified by name but by abstract symbols that can represent any type. Subtyping (also called subtype … Webpolymorphism, in biology, a discontinuous genetic variation resulting in the occurrence of several different forms or types of individuals among the members of a single species. A … safety at home for kids worksheet