This page shows all publications that appeared in the IASI annual research reports. Authors currently affiliated with the Institute are always listed with the full name.

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Show all publications of the year  ALL, with author Temperini M., in the category IASI Research Reports (or show them all):

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IASI Research Report n. 459  (Previous    Next) 


Cioni G., Colagrossi A., Temperini M.

An approach to class reasoning in symbolic computation

ABSTRACT

A methodology, following the object-oriented paradigm, for modeling mathematical structure by axiomatization is presented. A suitable programming language is defined in terms of its class construct and inheritance. The class construct allows for expressing also the properties of the structure represented by the class. By reasoning about the properties defined in the classes (class reasoning), logical relations among mathematical structures can be evaluated. We show how class reasoning can be applied in order to rearrange and/or modify a hierarchy of (classes representing) mathematical structures. The rearranging operation is shown to be equivalence preserving, in the sense of h-equivalence we define. We also briefly present a prototype implementation of the object-oriented programming environment, built on top of the CLOS language.