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A second order theory of data types

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Summary

A specification method for abstract data types based on manysorted second order logic is presented. In our approach the specification is composed of two parts: the first part specifies a set of objects and a set of fundamental operations; the other part specifies an arbitrary number of augmenting operations. The fundamental operations are called constructors. On the basis of constructors the axioms can be put into schematic forms and the resulting theory is categorical.

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Ming-Hua, Z. A second order theory of data types. Acta Informatica 25, 283–303 (1988). https://doi.org/10.1007/BF00283330

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