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On the Refinement Calculus

On the Refinement Calculus PDF Author: Carroll Morgan
Publisher: Springer Science & Business Media
ISBN: 1447132734
Category : Mathematics
Languages : en
Pages : 169

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.

On the Refinement Calculus

On the Refinement Calculus PDF Author: Carroll Morgan
Publisher: Springer Science & Business Media
ISBN: 1447132734
Category : Mathematics
Languages : en
Pages : 169

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.

Programming from Specifications

Programming from Specifications PDF Author: Carroll Morgan
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 360

Book Description
Providing a thorough treatment of most elementary program development techniques, this revised edition covers topics such as procedures, parameters, recursion and data refinement, with the integration of specification, development and coding, based on ordinary (classical) logic.

Using Z

Using Z PDF Author: Jim Woodcock
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 412

Book Description
This book contains enough mnaterial for three complete courses of study. It provides an introduction to the world of logic, sets and relations. It explains the use of the Znotation in the specification of realistic systems. It shows how Z specifications may be refined to produce executable code; this is demonstrated in a selection of case studies. The essentials of specification, refinement and proof are covered, revealing techniques never previously published. Exercises, Solutions and set of Tranparencies are available via http://www.comlab.ox.ac.uk/usingz.html

Refinement Types

Refinement Types PDF Author: Ranjit Jhala
Publisher:
ISBN: 9781680838848
Category : Computers
Languages : en
Pages : 182

Book Description
Refinement types can be the vector that brings formal verification into mainstream software development. This happy outcome hinges upon the design and implementation of refinement type systems that can be retrofitted to existing languages, or co-designed with new ones.In this book, the authors catalyze the development of such systems by distilling the ideas developed in the sprawling literature on the topic into a coherent and unified tutorial that explains the key ingredients of modern refinement type systems, by showing how to implement a refinement type checker.Inspired by the nanopass framework for teaching compilation the authors show how to implement refinement types via a progression of languages that incrementally add features to the language or type system.The readily accessible book provides the reader with an insightful introduction into Refinement Types using an innovative tutorial style that enables fast learning. Furthermore, the accompanying software implementation allows readers to work on practical real-world examples.

Refinement Calculus

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

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.

Refinement

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

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.

Refinement in Z and Object-Z

Refinement in Z and Object-Z PDF Author: John Derrick
Publisher: Springer Science & Business Media
ISBN: 1447153553
Category : Mathematics
Languages : en
Pages : 498

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

Stepwise Refinement of Distributed Systems

Stepwise Refinement of Distributed Systems PDF Author: Jaco W. de Bakker
Publisher: Springer Science & Business Media
ISBN: 9783540525592
Category : Computers
Languages : en
Pages : 832

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.

6th Refinement Workshop

6th Refinement Workshop PDF Author: David Till
Publisher: Springer Science & Business Media
ISBN: 1447132408
Category : Mathematics
Languages : en
Pages : 315

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.

4th Refinement Workshop

4th Refinement Workshop PDF Author: Joseph M. Morris
Publisher: Springer Science & Business Media
ISBN: 1447137566
Category : Mathematics
Languages : en
Pages : 488

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.