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The abstract list type L with elements of some type E (a monomorphic list) is defined by the following functions: nil: → L cons: E × L → L first: L → E rest: L → L. with the axioms first (cons (e, l)) = e rest (cons (e, l)) = l. for any element e and any list l. It is implicit that cons (e, l) ≠ l cons (e, l) ≠ e
A function that takes one or more functions as arguments, returns a function as its result, or both. Commonly used for abstractions like map, reduce, and filter, which are building blocks for manipulating collections. Lambda expression: An anonymous function that provides a simple way to create functions "on the fly" without defining them with ...
In software engineering and computer science, abstraction is the process of generalizing concrete details, [1] such as attributes, away from the study of objects and systems to focus attention on details of greater importance. [2] Abstraction is a fundamental concept in computer science and software engineering, especially within the object ...
In computer science, an abstract data type (ADT) is a mathematical model for data types, defined by its behavior from the point of view of a user of the data, specifically in terms of possible values, possible operations on data of this type, and the behavior of these operations.
The C++ Standard Library is based upon conventions introduced by the Standard Template Library (STL), and has been influenced by research in generic programming and developers of the STL such as Alexander Stepanov and Meng Lee. [4] [5] Although the C++ Standard Library and the STL share many features, neither is a strict superset of the other.
Data abstraction is a design pattern in which data are visible only to semantically related functions, to prevent misuse. The success of data abstraction leads to frequent incorporation of data hiding as a design principle in object-oriented and pure functional programming.
In class-based object-oriented programming, abstract types are implemented as abstract classes (also known as abstract base classes), and concrete types as concrete classes. In generic programming , the analogous notion is a concept , which similarly specifies syntax and semantics, but does not require a subtype relationship: two unrelated ...
The abstraction principle is mentioned in several books. Some of these, together with the formulation if it is succinct, are listed below. Alfred John Cole, Ronald Morrison (1982) An introduction to programming with S-algol: "[Abstraction] when applied to language design is to define all the semantically meaningful syntactic categories in the language and allow an abstraction over them".