Refinement Calculus: A Systematic Introduction

Springer (1998)
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Abstract

Much current research in computer science is concerned with two questions: is a program correct? And how can we improve a correct program preserving correctness? This latter question is known as the refinement of programs and the purpose of this book is to consider these questions in a formal setting. In fact, correctness turns out to be a special case of refinement and so the focus is on refinement. Although a reasonable background knowledge is assumed from mathematics and CS, the book is a self-contained introduction suitable for graduate students and researchers coming to this subject for the first time. There are numerous exercises provided of varying degrees of challenge.

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Programming interfaces and basic topology.Peter Hancock & Pierre Hyvernat - 2006 - Annals of Pure and Applied Logic 137 (1-3):189-239.

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