Refinement Calculus PDF Download

Author: Ralph-Johan Back
Publisher: Springer Science & Business Media
ISBN: 1461216745
Category : Computers
Languages : en
Pages : 514

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Book Description
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.

Author: Carroll Morgan
Publisher: Springer Science & Business Media
ISBN: 1447132734
Category : Mathematics
Languages : en
Pages : 169

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Book Description
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.

Author: John Derrick
Publisher: Springer
ISBN: 3319927116
Category : Computers
Languages : en
Pages : 276

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Book Description
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.

Author: Jaco W. de Bakker
Publisher: Springer Science & Business Media
ISBN: 9783540525592
Category : Computers
Languages : en
Pages : 832

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Book Description
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.

Author: John Derrick
Publisher: Springer Science & Business Media
ISBN: 1447153553
Category : Mathematics
Languages : en
Pages : 498

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Book Description
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

Author: Joseph M. Morris
Publisher: Springer Science & Business Media
ISBN: 1447137566
Category : Mathematics
Languages : en
Pages : 488

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Book Description
This volume contains the proceedings ofthe 4th Refinement Workshop which was organised by the British Computer Society specialist group in Formal Aspects of Computing Science and held in Wolfson College, Cambridge, on 9-11 January, 1991. The term refinement embraces the theory and practice of using formal methods for specifying and implementing hardware and software. Most of the achievements to date in the field have been in developing the theoretical framework for mathematical approaches to programming, and on the practical side in formally specifying software, while more recently we have seen the development of practical approaches to deriving programs from their speCifications. The workshop gives a fair picture of the state of the art: it presents new theories for reasoning about software and hardware and case studies in applying known theory to interesting small-and medium-scale problems. We hope the book will be Of interest both to researchers in formal methods, and to software engineers in industry who want to keep abreast of possible applications of formal methods in industry. The programme consisted both of invited talks and refereed papers. The invited speakers were Ib S0rensen, Jean-Raymond Abrial, Donald MacKenzie, Ralph Back, Robert Milne, Mike Read, Mike Gordon, and Robert Worden who gave the introductory talk. This is the first refinement workshop that solicited papers for refereeing, and despite a rather late call for papers the response was excellent.

Author: David Till
Publisher: Springer Science & Business Media
ISBN: 1447132408
Category : Mathematics
Languages : en
Pages : 315

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Book Description
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.

Author: Philippe Audebaud
Publisher: Springer
ISBN: 3540705945
Category : Computers
Languages : en
Pages : 431

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Book Description
This book constitutes the refereed proceedings of the 9th International Conference on Mathematics of Program Construction, MPC 2008, held in Marseille, France in July 2008. The 18 revised full papers presented together with 1 invited talk were carefully reviewed and selected from 41 submissions. Issues addressed range from algorithmics to support for program construction in programming languages and systems. Topics of special interest are type systems, program analysis and transformation, programming language semantics, program logics.

Author: Bernhard Möller
Publisher: Springer Science & Business Media
ISBN: 9783540601173
Category : Computers
Languages : en
Pages : 488

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Book Description
This volume constitutes the proceedings of the Third International Conference on the Mathematics of Program Construction, held at Kloster Irsee, Germany in July 1995. Besides five invited lectures by distinguished researchers there are presented 19 full revised papers selected from a total of 58 submissions. The general theme is the use of crisp, clear mathematics in the discovery and design of algorithms and in the development of corresponding software and hardware; among the topics addressed are program transformation, program analysis, program verification, as well as convincing case studies.

Author: Eerke A. Boiten
Publisher: Springer
ISBN: 354045442X
Category : Computers
Languages : en
Pages : 273

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Book Description
This book constitutes the refereed proceedings of the 6th International Conference on Mathematics of Program Construction, MPC 2002, held in Dagstuhl Castle, Germany, in July 2002. The 11 revised full papers presented were carefully reviewed and selected for inclusion in the book; also presented are one invited paper and the abstracts of two invited talks. Among the topics covered are programming methodology, program specification, program transformation, programming paradigms, programming calculi, and programming language semantics.