type constructor function - meaning and definition. What is type constructor function
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What (who) is type constructor function - definition

Function types; Function space types; Function space type; Arrow type; Function space constructor; Function-space constructor

Function type         
In computer science and mathematical logic, a function type (or arrow type or exponential) is the type of a variable or parameter to which a function has or can be assigned, or an argument or result type of a higher-order function taking or returning a function.
Type constructor         
FEATURE OF A TYPED FORMAL LANGUAGE THAT BUILDS NEW TYPES FROM OLD ONES
Type constructors; Type operator; Higher-order type operator
In the area of mathematical logic and computer 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 to be built using nullary type constructors.
Constructor (object-oriented programming)         
SPECIAL METHOD USED FOR INITIALIZING A NEWLY ALLOCATED OBJECT IN OBJECT-ORIENTED PROGRAMMING
Ctor; Constructor function; Constructor (programming); Constructor (computing); CTOR; Constructor (computer science); Move constructor; Instance constructor; Static constructor; .ctor; .cctor; Copy constructor; Comparison of programming languages (OOP, constructors)
In class-based, object-oriented programming, a constructor (abbreviation: ctor) is a special type of subroutine called to create an object. It prepares the new object for use, often accepting arguments that the constructor uses to set required member variables.

Wikipedia

Function type

In computer science and mathematical logic, a function type (or arrow type or exponential) is the type of a variable or parameter to which a function has or can be assigned, or an argument or result type of a higher-order function taking or returning a function.

A 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 a higher-kinded type). In theoretical settings and programming languages where functions are defined in curried form, such as the simply typed lambda calculus, a function type depends on exactly two types, the domain A and the range B. Here a function type is often denoted AB, following mathematical convention, or BA, based on there existing exactly BA (exponentially many) set-theoretic functions mappings A to B in the category of sets. The class of such maps or functions is called the exponential object. The act of currying makes the function type adjoint to the product type; this is explored in detail in the article on currying.

The function type can be considered to be a special case of the dependent product type, which among other properties, encompasses the idea of a polymorphic function.