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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.
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This article compares the syntax for defining and instantiating an algebraic data type (ADT), sometimes also referred to as a tagged union, in various programming languages. Examples of algebraic data types
The way I've found that is the most successful way to explain what an ADT is, to give tangible examples. The ADT for an ordered set of information provides the same API for accessing the data, regardless of it being stored in an array, an unordered linked-list, an ordered linked-list, a binary tree, a 3-2 tree, etc.
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