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This book presents a fundamental mathematical and logical approach to soft ware and systems engineering. Considering the large number of books de scribing mathematical approaches to program development, it is important to explain what we consider to be the specific contribution of our book, to identify our goals, and to characterize our intended target audience. Most books dealing with the mathematics and logics of programming and system development are mainly devoted to programming in the small. This is in contrast to our book where the emphasis is on modular system development with the help of component specifications with precisely identified interfaces and refinement concepts. Our book aims at systems development carried out in a systematic way, based on a clear mathematical theory. We do not claim that this book presents a full-blown engineering method. In fact, this is certainly not a book for the application-driven software engi neer looking for a practical method for system development in an industrial context. It is much rather a book for the computer scientist and the scientifi cally interested engineer who looks for basic principles of system development and, moreover, its mathematical foundations. It is also a book for method builders interested in a proper mathematical foundation on which they can build a practical development method and industrial-strength support tools.

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The RPC-memory specification problem was proposed by Broy and Lamport as a case study in the formal design of distributed and concurrent systems. As a realistic example typical for operating systems and hardware design, the RPC-memory problem was used as the basis for comparing various approaches to formal specification, refinement, and verification. Preliminary solutions were discussed during a workshop at Schloss Dagstuhl, Germany, in September 1994. Then an extensive discussion took place between the referees and authors. Finally 15 thoroughly revised papers were accepted for inclusion in this volume in full detail together with the problem statement and a synopsis.

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