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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)
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
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
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
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)
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
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
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++)
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
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
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
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
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
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
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
Universal subtype in logic and computer science
parameterized types. For example, Scala's List is a covariant type constructor, so List[Nothing] is a subtype of List[A] for all types A. So Scala's Nil
Bottom_type
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
Framework in lambda calculus
tree * 'a tree This type constructor can be applied to other types to obtain new types. E.g., to obtain type of trees of integers: type int_tree = int tree
Lambda_cube
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
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
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
Branch of type theory
the intersection type discipline is a branch of type theory encompassing type systems that use the intersection type constructor ( ∩ ) {\displaystyle
Intersection_type_discipline
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)
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 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
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_(computer_programming)
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
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)
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
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
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
Inconsistent pure type systems related to Girard's paradox
in types (type-parametric functions). ( ◻ , ◻ ) {\displaystyle (\square ,\square )} : types may depend on types (type operators / type constructors). (
System_U
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
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
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
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
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
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)
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
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
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
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
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
Data type simulating a pointer with additional features
std::shared_ptr<SomeType>, C++11 introduced: shared_ptr<SomeType> s = std::make_shared<SomeType>(constructor, parameters, here); and similarly std::unique_ptr<SomeType>
Smart_pointer
Technique in object-oriented programming
overhead. There are several ways to copy an object, most commonly by a copy constructor or cloning. Copying is done mostly so the copy can be modified or moved
Object_copying
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
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)
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
and the valueOf() method. class UserId { #id; constructor(id) { if (id == undefined) { throw new TypeError("Argument is null or undefined."); } this
Strongly_typed_identifier
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
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
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)
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)
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
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)
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)
Programming technique of receiving dependencies
instantiates the dependencies declared by the application object (often in the constructor method's parameters), and passes the dependencies into the object. Dependency
Dependency_injection
comparison to C# 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
Topics referred to by the same term
British Archaeological Reports British American Racing, a Formula One constructor Chime bar, musical instrument Medal bar, additional award Gold bar, a
Bar
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
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
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)
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
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
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)
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)
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++)
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
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)
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
American vessel
Seabed Constructor is a multipurpose offshore vessel owned by Swire Seabed and contracted since December 2016 to British-owned hydrographic survey company
Seabed_Constructor
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
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
Opaque data type which stores a memory address
pointer public: MyClass(); // Constructor MyClass(const MyClass&); // Copy constructor MyClass(MyClass&&); // Move constructor MyClass& operator=(const MyClass&);
Opaque_pointer
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)
Set of rules defining correctly structured programs for the C# programming language
constructor is special because it can be specified as a necessary constraint for a generic type parameter. class Foo { Foo() { ... } } Constructors can
C_Sharp_syntax
Software class or data structure whose instances are collections of other objects
implement CRUD-like methods to do the following: create an empty container (constructor); insert objects into the container; delete objects from the container;
Container (abstract data type)
Container_(abstract_data_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
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
Former Formula One constructor
March Engineering was a Formula One constructor and manufacturer of customer racing cars from the United Kingdom. Although only moderately successful
March_Engineering
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
Approach to managing resources by tying them to object lifetime
is done during object creation (specifically initialization), by the constructor, while resource deallocation (release) is done during object destruction
Resource acquisition is initialization
Resource_acquisition_is_initialization
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
this pattern is with the new constructor feature in Ceylon 1.2 where the objects are implemented as different named constructor declarations. // Traditional
Ceylon_(programming_language)
Automobile manufacturer
the team's driver. 13 B-Type ERAs were produced, three of which were later modified to subsequent (type C or in one case type D) specifications. 1937
English_Racing_Automobiles
data-type constructors (hence the name cons-free): the input list is the one and only data structure throughout the program. The absence of constructors limits
Implicit computational complexity
Implicit_computational_complexity
Ability of a process to examine and modify itself
Typeinfo = GetTypeInfo(Foo) Dim constructors() As Introspection.ConstructorInfo = classInfo.GetConstructors Dim fooInstance As Foo = constructors(0).Invoke
Reflective_programming
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
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++)
Overview of and topical guide to auto racing
The following outline is provided as an overview of and topical guide to auto racing: Auto racing – motorsport involving the racing of cars for competition
Outline_of_auto_racing
Technique in the C++ language
= ""): A("instance of D from constructor A"), B("instance of D from constructor B"), C("instance of D from constructor C") {} void pureVirtualTest()
Virtual_inheritance
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
Linked node hierarchical data structure
= e children(node(e, f)) = f In terms of type theory, a tree is an inductive type defined by the constructors nil (empty forest) and node (tree with root
Tree_(abstract_data_type)
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
Male
Danish
, a female dog; or, the mad, raging.
Boy/Male
Hindu, Indian
Type of Liquid
Girl/Female
Arabic, Muslim, Pashtun
Type of Flower
Girl/Female
Indian, Telugu
Type of Music
Girl/Female
English
River.
Surname or Lastname
Scottish
Scottish : reduced form of McIntyre.English : variant spelling of Tyer.
Girl/Female
Muslim
Type of flower
Boy/Male
Biblical Latin
Strength; rock; sharp.
Girl/Female
American, British, English, Jamaican
A River in England; River
Boy/Male
English French
Fiery.
Surname or Lastname
English (Devon)
English (Devon) : unexplained.
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.
Boy/Male
Sikh
Ok type person
Girl/Female
Indian
Type of flower
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
Danish, German, Swedish
A City in Phoenicia
Girl/Female
Christian & English(British/American/Australian)
River
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."
Girl/Female
Tamil
Anemone | அநேமோநே
Type of flower
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
Girl/Female
Indian, Sanskrit
Protecting the Roads; A Goddess
Girl/Female
Hindu, Indian
Daughter of the Sun God; Sunshine
Boy/Male
Indian, Kannada, Tamil
Golden King; Precious
Male
Irish
Irish Gaelic form of English Edmund, ÉAMON means "protector of prosperity."
Girl/Female
Hindu, Indian
A Kind of Tree
Boy/Male
English
From the Queen's Estate
Girl/Female
Arthurian Legend
Tristan's grandmother.
Girl/Female
Hindu, Indian
Love; Beauty; Speak Less; Brilliant
Boy/Male
Muslim
Shadow, Shade
Boy/Male
Polish
Warlike.
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
TYPE CONSTRUCTOR
v. t.
To arrange (types) in a composing stick in order for printing; to set (type).
n.
The mark or impression of something; stamp; impressed sign; emblem.
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 tapeline; also, a metallic ribbon so marked as to serve as a tapeline; as, a steel tape.
n.
Form or character impressed; style; semblance.
n.
A combining form signifying impressed form; stamp; print; type; typical form; representative; as in stereotype phototype, ferrotype, monotype.
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.
A single type; type, collectively; a style of type.
n.
A figure or representation of something to come; a token; a sign; a symbol; -- correlative to antitype.
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.
That which possesses or exemplifies characteristic qualities; the representative.
v. t.
To represent by a type, model, or symbol beforehand; to prefigure.
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.
A grove or clump of trees; as, a toddy tope.
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 furnish an expression or copy of; to represent; to typify.
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.
A raised letter, figure, accent, or other character, cast in metal or cut in wood, used in printing.
imp. & p. p.
of Type