Refinement Calculus


Refinement Calculus
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Refinement Calculus


Refinement Calculus
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Author : Ralph-Johan Back
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Refinement Calculus written by Ralph-Johan Back and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


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.



On The Refinement Calculus


On The Refinement Calculus
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Author : Carroll Morgan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

On The Refinement Calculus written by Carroll Morgan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


On the Refinement Calculus gives one view of the development of the refinement calculus and its attempt to bring together - among other things - Z specifications and Dijkstra's programming language. It is an excellent source of reference material for all those seeking the background and mathematical underpinnings of the refinement calculus.



On The Refinement Calculus


On The Refinement Calculus
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Author : Carroll Morgan
language : en
Publisher:
Release Date : 1988

On The Refinement Calculus written by Carroll Morgan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Calculus categories.




Program Design Calculi


Program Design Calculi
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Author : Manfred Broy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Program Design Calculi written by Manfred Broy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Computers categories.


The development of information processing systems requires models, calculi, and theories for the analysis of computations. It is well understood by now that more complex software systems cannot and should not be constructed in one step. A careful, systematic, and disciplined structuring of the development process is most adequate. It should start from basic requirement specifications in which aU the relevant details of the problem to be solved are formalized. The envisaged solution should be developed step by step by adding more and more details and giving evidence-in the best case by formal proof-to show the correctness of the developed steps. The development ends if a description of a solution is obtained that has aU the required properties. The Summer School in Marktoberdorf 1992 showed significant approaches in this area to refinement calculi, to models of computation, and as a special issue to the treatment of reactive timed systems. Like in the many summer schools before, the success of the 1992 Summer School was not only due to the excellent lectures, but even more due to the brilliant students taking part in the discussions at the summer school, the exchange of different views, and the recognition of the similarity of a number of different view points. These were some of the most important contributions of the summer school. fu the following the proceedings of the summer school are collected. They show the maturity of the field in an impressive way.



Data Refinement


Data Refinement
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Author : W.-P. de Roever
language : en
Publisher: Cambridge University Press
Release Date : 1998-12-03

Data Refinement written by W.-P. de Roever and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-03 with Computers categories.


The goal of this book is to provide a comprehensive and systematic introduction to the important and highly applicable method of data refinement and the simulation methods used for proving its correctness. The authors concentrate in the first part on the general principles needed to prove data refinement correct. They begin with an explanation of the fundamental notions, showing that data refinement proofs reduce to proving simulation. The book's second part contains a detailed survey of important methods in this field, which are carefully analysed, and shown to be either incomplete, with counterexamples to their application, or to be always applicable whenever data refinement holds. This is shown by proving, for the first time, that all these methods can be described and analysed in terms of two simple notions: forward and backward simulation. The book is self-contained, going from advanced undergraduate level and taking the reader to the state of the art in methods for proving simulation.



Stepwise Refinement Of Distributed Systems


Stepwise Refinement Of Distributed Systems
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Author : Jaco W. de Bakker
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-04-25

Stepwise Refinement Of Distributed Systems written by Jaco W. de Bakker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-25 with Computers categories.


The stepwise refinement method postulates a system construction route that starts with a high-level specification, goes through a number of provably correct development steps, and ends with an executable program. The contributions to this volume survey the state of the art in this extremely active research area. The world's leading specialists in concurrent program specification, verification, and the theory of their refinement present latest research results and surveys of the fields. State-based, algebraic, temporal logic oriented and category theory oriented approaches are presented. Special attention is paid to the relationship between compositionality and refinement for distributed programs. Surveys are given of results on refinement in partial-order based approaches to concurrency. A unified treatment is given of the assumption/commitment paradigm in compositional concurrent program specification and verification, and the extension of these to liveness properties. Latest results are presented on specifying and proving concurrent data bases correct, and deriving network protocols from their specifications.



Refinement


Refinement
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Author : John Derrick
language : en
Publisher: Springer
Release Date : 2018-09-03

Refinement written by John Derrick and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Computers categories.


Refinement is one of the cornerstones of a formal approach to software engineering. Refinement is all about turning an abstract description (of a soft or hardware system) into something closer to implementation. It provides that essential bridge between higher level requirements and an implementation of those requirements. This book provides a comprehensive introduction to refinement for the researcher or graduate student. It introduces refinement in different semantic models, and shows how refinement is defined and used within some of the major formal methods and languages in use today. It (1) introduces the reader to different ways of looking at refinement, relating refinement to observations(2) shows how these are realised in different semantic models (3) shows how different formal methods use different models of refinement, and (4) how these models of refinement are related.



Refinement In Z And Object Z


Refinement In Z And Object Z
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Author : John Derrick
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-30

Refinement In Z And Object Z written by John Derrick and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-30 with Mathematics categories.


Refinement is one of the cornerstones of the formal approach to software engineering, and its use in various domains has led to research on new applications and generalisation. This book brings together this important research in one volume, with the addition of examples drawn from different application areas. It covers four main themes: Data refinement and its application to Z Generalisations of refinement that change the interface and atomicity of operations Refinement in Object-Z Modelling state and behaviour by combining Object-Z with CSP Refinement in Z and Object-Z: Foundations and Advanced Applications provides an invaluable overview of recent research for academic and industrial researchers, lecturers teaching formal specification and development, industrial practitioners using formal methods in their work, and postgraduate and advanced undergraduate students. This second edition is a comprehensive update to the first and includes the following new material: Early chapters have been extended to also include trace refinement, based directly on partial relations rather than through totalisation Provides an updated discussion on divergence, non-atomic refinements and approximate refinement Includes a discussion of the differing semantics of operations and outputs and how they affect the abstraction of models written using Object-Z and CSP Presents a fuller account of the relationship between relational refinement and various models of refinement in CSP Bibliographic notes at the end of each chapter have been extended with the most up to date citations and research



6th Refinement Workshop


6th Refinement Workshop
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Author : David Till
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

6th Refinement Workshop written by David Till and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The Sixth Refinement Workshop took place at City University in London from 5th to 7th January 1994. The present volume includes all of the papers which were submitted and accepted for presentation, together with two papers by invited speakers. The workshops in the series have generally occurred at one year intervals but in this last case a two year period had elapsed. These workshops have established themselves as an important event in the calendar for all those who are interested in progress in the underlying theory of refinement and in the take-up by industry of the methods supported by that theory. One of the proposed themes of the sixth workshop was the reporting of successful adoption in industry of rigorous software development methods. The programme committee was perhaps slightly disappointed by the response from industry to the call in this respect. However, the recent period could be characterised as one of consolidation, when those companies which have made the decision that formal development methods are important to their business have been adopting them where appropriate and finding them to be worthwhile. On the other hand,. the difficult economic climate which exists in most parts of the developed world is perhaps not the context within which companies still dubious about the benefits are goil'\g to opt for making major changes in their working practices.



Beauty Is Our Business


Beauty Is Our Business
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Author : W.H.J. Feijen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Beauty Is Our Business written by W.H.J. Feijen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.


More than anything else, this book is a tribute to Edsger W. Dijkstra, on the occasion of his sixtieth birthday, by just a few of those fortunate enough to be influenced by him and his work and to be called his friend or relation, his master, colleague, or pupil. This book contains fifty-four technical contributions in different areas of endeavor, although many of them deal with an area of particular concern to Dijkstra: programming. Each contribution is relatively short and could be digested in one sitting. Together, they form a nice cross section of the discipline of programming at the beginning of the nineties. While many know of Dijkstra's technical contributions, they may not be aware of his ultimate goal, the mastery of complexity in mathematics and computing science. He has forcefully argued that beauty and elegance are essential to this mastery. The title of this book, chosen to reflect his ultimate goal, comes from a sentence in an article of his on some beautiful arguments using mathematical induction: "... when we recognize the battle against chaos, mess, and unmastered complexity as one of computing sci- ence's major callings, we must admit that 'Beauty Is Our Business'."