Mathamatical foundation
A relational calculus for program construction by parts

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Abstract

Given a specification that includes a number of user requirements, we wish to focus on the requirements in turn, and derive a partly defined program for each; then combine all the partly defined programs into a single program that satisfies all the requirements simultaneously. In this paper we introduce a mathematical basis for solving this problem, and we illustrate it by means of a simple example.

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This research is supported by NSERC (Natural Sciences and Engineering Research Council) of Canada and by FCAR (Fonds pour la Formation de Chercheurs et l'Aide à la Recherche) of Québec.

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