Abstract
Very often, the terminal algebra semantics of an algebraic specification of an abstract data type is more important than the initial algebra semantics. This paper develops a theory of terminal algebra semantics. The notion of terminal (t-) abstract data type is introduced, and it is shown that a t-abstract data type is a terminal object in the categories of terminal models and implementations of an abstract data type specification. Many, but not all notions and properties of initial algebra semantics have their dual analogue in terminal algebra semantics.
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