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Feature of a typed formal language that builds new types from old ones
science known as type theory, a type constructor is a feature of a typed formal language that builds new types from old ones. Basic types are considered
Type_constructor
Data type defined by combining other types
called a constructor, which can also carry data. Enumerated types are a simple form of sum type where the constructors carry no data. A product type combines
Algebraic_data_type
Attribute of data
Product types, function types, power types and list types can be made into type constructors. Universally-quantified and existentially-quantified types are
Data_type
Programming language concept
function type constructor is contravariant in the parameter type. Here, the subtyping relation of the simple types is reversed for the complex types. A programming
Type_variance
Special function called to create an object
In class-based, object-oriented programming, a constructor (abbreviation: ctor) is a special type of function called to create an object. It prepares the
Constructor (object-oriented programming)
Constructor_(object-oriented_programming)
Type of types in a type system
known as type theory, a kind is the type of a type constructor or, less commonly, the type of a higher-order type operator (type constructor). A kind
Kind_(type_theory)
Alternative foundation of mathematics
can be examined, compared, and manipulated. Intuitionistic type theory's type constructors were built to follow a one-to-one correspondence with logical
Intuitionistic_type_theory
Design pattern in functional programming to build generic types
failure, non-determinism, or side effect. More formally, a monad is a type constructor M equipped with two operations, return : <A>(a : A) -> M(A) which lifts
Monad (functional programming)
Monad_(functional_programming)
function type depends on the type of the parameters and the result type of the function (it, or more accurately the unapplied type constructor · → ·, is
Function_type
In programming, an object-creating function that takes no arguments
nullary constructor is a constructor that takes no arguments. Also known as a 0-argument constructor, no-argument constructor, parameterless constructor or
Nullary_constructor
Mathematical theory of data types
extensively use type constructors to define the types (noun, verb, etc.) of words. The most common construction takes the basic types e {\displaystyle
Type_theory
Formal system in mathematical logic
with only one type constructor ( → {\displaystyle \to } ) that builds function types. It is the canonical and simplest example of a typed lambda calculus
Simply_typed_lambda_calculus
Formal method for the development of computer-based systems
using type constructors. The most basic type constructor forms the union of two predefined types. The type (A|B) contains all elements of the type A and all
Vienna_Development_Method
Technique of representing an aggregate data structure
{\displaystyle L} is a type constructor which takes an element type X {\displaystyle X} and produces the type of lists of that element type. The two addends
Zipper_(data_structure)
Constructor that copies the state of another object
language, a copy constructor is a special constructor for creating a new object as a copy of an existing object. Copy constructors are the standard way
Copy_constructor_(C++)
Framework in lambda calculus
type 'a tree = | Leaf of 'a | Node of 'a tree * 'a tree This type constructor can be applied to other types to obtain new types. E.g., to obtain type
Lambda_cube
2011 edition of the C++ programming language standard
such types must be trivial. The copy constructor for a type with any constexpr constructors should usually also be defined as a constexpr constructor, to
C++11
Transforming a function in such a way that it only takes a single argument
{\displaystyle Y} are types, while the arrow → {\displaystyle \to } is a type constructor, specifically, the function type or arrow type. Similarly, the Cartesian
Currying
Type system used in computer programming and mathematics
arity of type constructors. e.g. a list type constructor is thought of as mapping a type (the type of its elements) to another type (the type of the list
Hindley–Milner_type_system
Branch of type theory
intersection type discipline is a branch of type theory encompassing type systems that use the intersection type constructor (∩) to assign multiple types to a
Intersection_type_discipline
In functional programming, a monad transformer is a type constructor which takes a monad as an argument and returns a monad as a result. Monad transformers
Monad_transformer
Universal subtype in logic and computer science
parameterized types. For example, Scala's scala.Listis a covariant type constructor, so List[Nothing] is a subtype of List[A] for all types A. So Scala's
Bottom_type
Automatic detection of the type of an expression in a formal language
here is the Haskell list constructor, not the "of type" operator, which Haskell instead spells ::.) First, we make fresh type variables for each individual
Type_inference
Category admitting tensor products
abstraction, is a system of data types closed under a type constructor that takes two types and builds an aggregate type. The types serve as the objects, and
Monoidal_category
Formalism in computer science
calculus has only one type constructor, the arrow → {\displaystyle \to } , and its only types are basic types and function types σ → τ {\displaystyle \sigma
Typed_lambda_calculus
Type whose definition depends on a value
simply typed lambda calculus: the addition of dependent types, the addition of polymorphism, and the addition of higher kinded type constructors (functions
Dependent_type
Basis of generic programming
support an impredicative function type constructor even though other type constructors remain predicative. For example, the type ( ∀ α . α → α ) → T {\displaystyle
Parametric_polymorphism
Data type that represents an ordered collection of elements (values or variables)
built-in array data types, some syntactic constructions (array type constructors) that the programmer may use to define such types and declare array variables
Array_(data_type)
Mathematical constructs and creation rules
of another list. The constructor for elements of a generic W-type W x : A B ( x ) {\displaystyle {\mathsf {W}}_{x:A}B(x)} has type s u p : ∏ a : A ( B
Inductive_type
Intermediate language
CBPV can be simplified, by removing either the U type constructor (thunks) or the F type constructor (computations returning values). Egger and Møgelberg
Call-by-push-value
Capability of some programming languages
"volume", with selection based on the differing number and type of actual parameters. Constructors, used to create instances of an object, may also be overloaded
Function_overloading
Self-replicating cellular automaton
John von Neumann's universal constructor is a self-replicating machine in a cellular automaton (CA) environment. It was designed in the 1940s, without
Von Neumann universal constructor
Von_Neumann_universal_constructor
Type system in computer science
kind. These type classes with higher kinds are sometimes called constructor classes (the constructors referred to are type constructors such as Maybe
Type_class
Concept in computer science
contrast to data type constructors, which define injective functions from all types of a particular kind to a new set of types, and type synonyms (a.k.a
Type_family
Programming language
option type constructor in OCaml, similar to the Maybe type in Haskell, augments a given data type to either return Some value of the given data type, or
OCaml
Computer programming function
applies to any type belonging the Functor type class. The type constructor of lists [] can be defined as an instance of the Functor type class using the
Map_(higher-order_function)
Research university in Bremen, Germany
53°10′N 8°39′E / 53.167°N 8.650°E / 53.167; 8.650 Constructor University, formerly Jacobs University Bremen, is an international, private, residential
Constructor_University
this was discouraged and is now broken in most compilers. In D the type constructors are const, immutable, shared, and inout. immutable is a stronger variant
Type_qualifier
Proof assistant program
introduced by the user, and built-in types such as the booleans, integers, reals, and the ordinals. Type-constructors include functions, sets, tuples, records
Prototype_Verification_System
Concept in functional programming
data type (ADT). In a GADT, the product constructors (called data constructors in Haskell) can provide an explicit instantiation of the ADT as the type instantiation
Generalized algebraic data type
Generalized_algebraic_data_type
Set of rules defining correctly structured programs
prototyped from the Array constructor specifically designed to store data values indexed by integer keys. Arrays, unlike the basic Object type, are prototyped with
JavaScript_syntax
Data type for values having two types
animalToFood has two type annotations, namely ((_: Chicken) => Egg) and ((_: Cow) => Milk), connected via the intersection type constructor &. Specifically
Intersection_type
Type qualifier denoting the data as being read-only
const from C++, where it is known as a type constructor (not type qualifier) and added two further type constructors, immutable and inout, to handle related
Const
Typeface style used in mathematics
numbers). To imitate a bold typeface on a typewriter, a character can be typed over itself (called double-striking); symbols thus produced are called double-struck
Blackboard_bold
BASIC dialect
Declare Constructor (nX As Integer = 0, nY As Integer = 0) Declare Property getX As Integer Declare Property getY As Integer End Type Constructor Vector
FreeBASIC
Automatic generated special function called to create an object
default constructor can refer to a constructor that is automatically generated by the compiler in the absence of any programmer-defined constructors (e.g
Default_constructor
Rules defining correctly structured Java programs
the case of constructor, type variables are declared before the constructor name. class Mapper { // The class is not generic, the constructor is <T, V>
Java_syntax
Formula One constructor
American car manufacturer General Motors (GM) has been a Formula One constructor under the luxury Cadillac brand as Cadillac Formula 1 Team since 2026
Cadillac_in_Formula_One
Object-oriented programming parameter = argument may be repeated if the constructor has several parameters SAP reserved to himself the use of destruction
Comparison of programming languages (object-oriented programming)
Comparison_of_programming_languages_(object-oriented_programming)
Style of computer programming
user-defined type constructors). In addition, we can also specify the behaviour of a type-indexed values for a specific constructor using constructor cases,
Generic_programming
Kind of polymorphism
variants as well, by making both the record and variant type constructor map from row kinds to types. Blume et al. proposed to take the approach one step further
Row_polymorphism
Concept in mathematical logic
U} to the associated type. The type U {\displaystyle U} has a constructor (or introduction rule) for each type former in the type theory. The one for dependent
Induction-recursion
and the valueOf() method. class UserId { #id; constructor(id) { if (id == undefined) { throw new TypeError("Argument is null or undefined."); } this
Strongly_typed_identifier
Extent to which a programming language discourages type errors
other enumeration types. C++ explicit constructors and C++11 explicit conversion operators prevent implicit type conversions. C# is type-safe. It has support
Type_safety
Object that creates other objects
the type of the object on which the method is called. However, this does not work for constructors, as constructors create an object of some type, rather
Factory (object-oriented programming)
Factory_(object-oriented_programming)
British guided missile destroyer class
compared to the Type 82, which had a flight deck but no hangar. Feasibility designs completed by the Royal Corps of Naval Constructors in the late-1960s
Type_42_destroyer
Programming language
OPerator LEVEL. Complex types can be created from simpler ones using various type constructors: REF mode – a reference to a value of type mode, similar to &
ALGOL_68
General-purpose programming language
accessor methods.) Alternative constructors can also be declared, as in Java. Code that would go into the default constructor (other than initializing the
Scala_(programming_language)
C# System.ValueTuple types and their associated syntax, they are more unwieldy to use (requiring the explicit use of constructors or static factory methods
Comparison of C Sharp and Java
Comparison_of_C_Sharp_and_Java
Web development programming language
(::) explicit): con mystruc :: Type -> Type -> Type (* two param. type constructor *) val setKey : k ::: Type -> v ::: Type -> ord k -> string -> k -> mystruc
Ur_(programming_language)
org. Retrieved 2021-12-07. "The type system · MLstate/opalang Wiki". GitHub. Retrieved 2021-12-07. "Type constructor - OpenCog". wiki.opencog.org. Retrieved
Comparison of programming languages (algebraic data type)
Comparison_of_programming_languages_(algebraic_data_type)
Taiwanese vessel
Orient Constructor is an offshore construction and maintenance vessel owned since 2021 by Dong Fang Offshore (DFO), a subsidiary of Taiwan's Hung Hua
Orient_Constructor
Functional programming language
generalisation of type classes to higher kinds (type constructors). Along with "do notation", which provides syntactic sugar for the Monad type class, this
Haskell
Type of data structure
it initializes (using the constructor), rather than using the assignment operator. This is more efficient for class types, since it just needs to be
C++_classes
German naval craft during WWII
Germany's Kriegsmarine between 1943 and 1945. The name comes from its constructor, Richard Mohr, whose surname in German also means "Moor" or "Negro".
Neger_(torpedo)
Rules of thumb in C++
object's class-type members Copy constructor – construct all the object's members from the corresponding members of the copy constructor's argument, calling
Rule of three (C++ programming)
Rule_of_three_(C++_programming)
Union data structure with enforced cases
correspondence. An enumerated type can be seen as a degenerate case: a tagged union of unit types. It corresponds to a set of nullary constructors and may be implemented
Tagged_union
operations: A type constructor arr that takes functions -> from any type s to another t, and lifts those functions into an arrow A between the two types. arr :
Arrow_(computer_science)
Japanese racing car manufacturer
Kabushiki Gaisha Dōmu), literally "child's dream", is a Japanese racing car constructor involved mainly in open-wheel and sports car racing. In 1965, Minoru
Dome_(constructor)
Opaque data type which stores a memory address
Opaque pointer public: Foo(); // Constructor Foo(const Foo& other); // Copy constructor Foo(Foo&& other); // Move constructor Foo& operator=(const Foo& other);
Opaque_pointer
Operator (=) used for assigning values in C++
default constructor MyArray second(first); // initialization by copy constructor MyArray third = first; // Also initialization by copy constructor second
Assignment_operator_(C++)
Project for an open source artificial intelligence framework
pre-defined atoms that encode a type subsystem, including type constructors and function types. These are used to specify the types of variables, terms and expressions
OpenCog
Functional programming language
no value of type isJust A can be constructed because, in that context, no value of type A exists to which we could apply the constructor Just. The right
Agda_(programming_language)
Topics referred to by the same term
Bo'ao Airport (IATA code BAR) British American Racing, a Formula One constructor BlackArts Racing Team, a motor racing team from Hong Kong Medal bar,
Bar
Topics referred to by the same term
Inductive data type may refer to: Algebraic data type, a datatype each of whose values is data from other datatypes wrapped in one of the constructors of the
Inductive_data_type
Algorithmic process of solving equations
Two type constants unify only if they are the same type. Two type constructions unify only if they are applications of the same type constructor and all
Unification (computer science)
Unification_(computer_science)
Relational database programming language
(reference), or ROW. User-defined types are comparable to classes in object-oriented language with their own constructors, observers, mutators, methods,
SQL
Formula One constructor
German car manufacturer Audi has competed in Formula One as a constructor and power unit manufacturer since 2026. Their current iteration, Audi Motorsport
Audi_in_Formula_One
Technique in object-oriented programming
would be needed with a copy constructor). A disadvantage is that one often cannot access the clone() method on an abstract type. Most interfaces and abstract
Object_copying
British motor racing team
most successful racing teams of all time, winning seven Formula One Constructors' Championships, six Drivers' Championships, and the Indianapolis 500
Team_Lotus
Assignment of an initial value for variable
in object-oriented programming, initialization code may be part of a constructor (class method) or an initializer (instance method). Setting a memory
Initialization (computer programming)
Initialization_(computer_programming)
Special forms of a typed lambda calculus
allow the assignment of polymorphic kinds to generic constructors in analogy to polymorphic types of terms in classical polymorphic lambda calculi, such
System_U
Way to represent data types in the lambda calculus
branching in the process flow, based on the constructor, akin to type-based pattern matching. Each constructor may have a different arity (number of parameters)
Mogensen–Scott_encoding
Notion of equality in type theory
(x+1)". The identity type is complex and is the subject of research in type theory. While every version agrees on the constructor, "refl". Their properties
Identity_type
Features of the Java programming language
Type variables are introduced by generic class declarations, generic interface declarations, generic method declarations, and by generic constructor declarations
Generics_in_Java
Programming technique of receiving dependencies
because C++ lacked reflection, libraries could not "see" constructor signatures or class member types, forcing the usage of manual dependency injection or
Dependency_injection
Data type that refers to itself in its definition
a similar singly linked type in Java: public class LinkedList<E> { private E value; private LinkedList<E> next; // constructor and methods... } This indicates
Recursive_data_type
Motorsport championship held worldwide
two annual World Championships: one for the drivers, and one for the constructors—now synonymous with teams. Each driver must hold a valid Super Licence
Formula_One
Syntactic metadata for Java source code
ElementType.TYPE, ElementType.METHOD, ElementType.CONSTRUCTOR, ElementType.ANNOTATION_TYPE, ElementType.PACKAGE, ElementType.FIELD, ElementType.LOCAL_VARIABLE
Java_annotation
Theory of syntax
be used to create new types (such as NP/N) from base types (such as NP and N). Link-grammar omits the use of type constructors, opting instead to define
Link_grammar
Class of frigates built for the Royal Navy
Royal Navy needs." The ship was designed by the Royal Corps of Naval Constructors, in close partnership with the prime contractor, Yarrow Shipbuilders
Type_23_frigate
Result of multiplying types in type theory
languages, algebraic data types with one constructor are isomorphic to a product type. In the Curry–Howard correspondence, product types are associated with
Product_type
Formula One activities of Mercedes-Benz
and its entry can be traced back to Tyrrell Racing, who competed as a constructor from 1970 until 1998, until being bought by British American Tobacco
Mercedes-Benz_in_Formula_One
Encapsulation of an optional value in programming or type theory
used as the return type of functions which may or may not return a meaningful value when they are applied. It consists of a constructor which either is empty
Option_type
C++ programming keywords for dynamic memory allocation
is a pointer of type T (or some other type to which a T pointer can be assigned, such as a superclass of T). The default constructor for T, if any, is
New_and_delete_(C++)
British car designer and developer
their own system). The 1968 seasons had seen many wet races and the constructors were searching for means to increase the grip of the cars. The 1969 British
Ferguson_Research
2023 edition of the C++ programming language standard
yielding reference types adding default template arguments for std::pair<T, U>'s forwarding constructor constexpr support for: std::type_info::operator==
C++23
Finite, ordered collection of items
abstract stack data type. In type theory, the above definition is more simply regarded as an inductive type defined in terms of constructors: nil and cons.
List_(abstract_data_type)
Type of determiner that indicates quantity
quantity. Quantification is also used in logic, where it is a formula constructor that produces new formulas from old ones. Natural languages' determiners
Quantifier_(linguistics)
Set of execution startup routines linked into a C program
the programmer, such as executing C++ global constructors and C functions carrying GCC's ((constructor)) attribute. Usually, crt0 does not contain more
Crt0
travel, tourism, insurance
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
Boy/Male
Biblical Latin
Strength; rock; sharp.
Surname or Lastname
Scottish
Scottish : reduced form of McIntyre.English : variant spelling of Tyer.
Male
Danish
, a female dog; or, the mad, raging.
Girl/Female
Danish, German, Swedish
A City in Phoenicia
Male
Danish
, a female dog; or, the mad, raging.
Male
English
English surname transferred to forename use, derived from the Middle English word tye, TYE means "pasture."
Surname or Lastname
English (Devon)
English (Devon) : unexplained.
Boy/Male
English French
Fiery.
Girl/Female
English
River.
Boy/Male
Sikh
Ok type person
Girl/Female
Arabic, Muslim, Pashtun
Type of Flower
Girl/Female
Christian & English(British/American/Australian)
River
Boy/Male
Hindu, Indian
Type of Liquid
Girl/Female
Tamil
Anemone | அநேமோநே
Type of flower
Anemone | அநேமோநே
Surname or Lastname
English (mainly East Anglia)
English (mainly East Anglia) : topographic name for someone who lived by a common pasture, Middle English tye (Old English tēag).North German : from a short form, Tide, of the personal name Dietrich.
Surname or Lastname
Irish
Irish : reduced Anglicized form of Gaelic Ó Teimhin ‘descendant of Teimhean’, from teimhean ‘dark’, an adjective from teimhe ‘dusk’, ‘darkness’.English : probably a habitational name for someone from Tyneside in northeast England.
Girl/Female
Muslim
Type of flower
Girl/Female
Indian
Type of flower
Girl/Female
American, British, English, Jamaican
A River in England; River
Girl/Female
Indian, Telugu
Type of Music
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
v. t.
To represent by a type, model, or symbol beforehand; to prefigure.
n.
The mark or impression of something; stamp; impressed sign; emblem.
n.
Such letters or characters, in general, or the whole quantity of them used in printing, spoken of collectively; any number or mass of such letters or characters, however disposed.
n.
Form or character impressed; style; semblance.
v. t.
To furnish an expression or copy of; to represent; to typify.
n.
A general form or structure common to a number of individuals; hence, the ideal representation of a species, genus, or other group, combining the essential characteristics; an animal or plant possessing or exemplifying the essential characteristics of a species, genus, or other group. Also, a group or division of animals having a certain typical or characteristic structure of body maintained within the group.
n.
A narrow fillet or band of cotton or linen; a narrow woven fabric used for strings and the like; as, curtains tied with tape.
n.
That which possesses or exemplifies characteristic qualities; the representative.
n.
A raised letter, figure, accent, or other character, cast in metal or cut in wood, used in printing.
n.
A single type; type, collectively; a style of type.
a.
Relating to a type or types; belonging to types; serving as a type; typical.
n.
A simple compound, used as a mode or pattern to which other compounds are conveniently regarded as being related, and from which they may be actually or theoretically derived.
v. t.
To arrange (types) in a composing stick in order for printing; to set (type).
n.
A tapeline; also, a metallic ribbon so marked as to serve as a tapeline; as, a steel tape.
n.
A figure or representation of something to come; a token; a sign; a symbol; -- correlative to antitype.
n.
In the antler of a stag, the third tyne above the base. This tyne appears in the third year. In those deer in which the brow tyne does not divide, the tres-tyne is the second tyne above the base. See Illust. under Rucervine, and under Rusine.
n.
The original object, or class of objects, scene, face, or conception, which becomes the subject of a copy; esp., the design on the face of a medal or a coin.
n.
A combining form signifying impressed form; stamp; print; type; typical form; representative; as in stereotype phototype, ferrotype, monotype.
imp. & p. p.
of Type
n.
A grove or clump of trees; as, a toddy tope.
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