Foundations of Algebraic Specification and Formal Software Development

Foundations of Algebraic Specification and Formal Software Development

Author: Donald Sannella

Publisher: Springer Science & Business Media

Published: 2012-01-05

Total Pages: 594

ISBN-13: 3642173365

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This book provides foundations for software specification and formal software development from the perspective of work on algebraic specification, concentrating on developing basic concepts and studying their fundamental properties. These foundations are built on a solid mathematical basis, using elements of universal algebra, category theory and logic, and this mathematical toolbox provides a convenient language for precisely formulating the concepts involved in software specification and development. Once formally defined, these notions become subject to mathematical investigation, and this interplay between mathematics and software engineering yields results that are mathematically interesting, conceptually revealing, and practically useful. The theory presented by the authors has its origins in work on algebraic specifications that started in the early 1970s, and their treatment is comprehensive. This book contains five kinds of material: the requisite mathematical foundations; traditional algebraic specifications; elements of the theory of institutions; formal specification and development; and proof methods. While the book is self-contained, mathematical maturity and familiarity with the problems of software engineering is required; and in the examples that directly relate to programming, the authors assume acquaintance with the concepts of functional programming. The book will be of value to researchers and advanced graduate students in the areas of programming and theoretical computer science.


Larch: Languages and Tools for Formal Specification

Larch: Languages and Tools for Formal Specification

Author: John V. Guttag

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 266

ISBN-13: 1461227046

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Building software often seems harder than it ought to be. It takes longer than expected, the software's functionality and performance are not as wonderful as hoped, and the software is not particularly malleable or easy to maintain. It does not have to be that way. This book is about programming, and the role that formal specifications can play in making programming easier and programs better. The intended audience is practicing programmers and students in undergraduate or basic graduate courses in software engineering or formal methods. To make the book accessible to such an audience, we have not presumed that the reader has formal training in mathematics or computer science. We have, however, presumed some programming experience. The roles of fonnal specifications Designing software is largely a matter of combining, inventing, and planning the implementation of abstractions. The goal of design is to describe a set of modules that interact with one another in simple, well defined ways. If this is achieved, people will be able to work independently on different modules, and yet the modules will fit together to accomplish the larger purpose. In addition, during program maintenance it will be possible to modify a module without affecting many others. Abstractions are intangible. But they must somehow be captured and communicated. That is what specifications are for. Specification gives us a way to say what an abstraction is, independent of any of its implementations.


An Introduction to Formal Specification and Z

An Introduction to Formal Specification and Z

Author: Ben Potter

Publisher:

Published: 1996

Total Pages: 456

ISBN-13:

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Following the sucess of the first edition, the authors have updated and revised this bestselling textbook to take into account the changes in the subject over the past 5 years.


ZB 2002: Formal Specification and Development in Z and B

ZB 2002: Formal Specification and Development in Z and B

Author: Didier Bert

Publisher: Springer

Published: 2003-07-31

Total Pages: 547

ISBN-13: 3540456481

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This book constitutes the refereed proceedings of the Second International Conference of B and Z Users, ZB 2002, held in Grenoble, France in January 2002. The 24 papers presented together with three invited contributions were carefully reviewed and selected for inclusion in the book. The book documents the recent advances for the Z formal specification notion and for the B method; the full scope is covered, ranging from foundational and theoretical issues to advanced applications, tools, and case studies.


B 2007: Formal Specification and Development in B

B 2007: Formal Specification and Development in B

Author: Jacques Julliand

Publisher: Springer

Published: 2006-12-12

Total Pages: 305

ISBN-13: 3540687610

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This book constitutes the refereed proceedings of the 7th International Conference of B Users, B 2007, held in Besançon, France, January 2007. Coverage in this volume includes industrial applications and case studies using B, integration of model-based specification methods in the software development lifecycle, derivation of hardware-software architecture from model-based specifications, and validating requirements through formal models.


Algebraic Foundations of Systems Specification

Algebraic Foundations of Systems Specification

Author: Egidio Astesiano

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 626

ISBN-13: 364259851X

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This IFIP report is a collection of fundamental, high-quality contributions on the algebraic foundations of system specification. The contributions cover and survey active topics and recent advances, and address such subjects as: the role of formal specification, algebraic preliminaries, partiality, institutions, specification semantics, structuring, refinement, specification languages, term rewriting, deduction and proof systems, object specification, concurrency, and the development process. The authors are well-known experts in the field, and the book is the result of IFIP WG 1.3 in cooperation with Esprit Basic Research WG COMPASS, and provides the foundations of the algebraic specification language CASL designed in the CoFI project. For students, researchers, and system developers.


Formal Methods in Standards

Formal Methods in Standards

Author: Clive L.N. Ruggles

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 144

ISBN-13: 1447134192

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3. 1 What are formal methods? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3. 2 A survey of formal methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3. 2. 1 FDTs and FSLs for sequential software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3. 2. 1. 1 VDM (Vienna Development Method). . . . . . . . . . . . . . . . . . . . . 19 3. 2. 1. 2 Z. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 3 me too . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 4 HOS and AXES. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 5 Gist. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3. 2. 1. 6 Clear . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 7 OBJ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 8 ACT ONE and ACT TWO. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 9 CIP-L. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 10 LPG. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 11 Larch. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3. 2. 1. 12 Logic languages-the Prolog family. . . . . . . . . . . . . . . . . . . 22 3. 2. 1. 13 Functional languages. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3. 2. 2 FDTs and FSLs for concurrent software. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3. 2. 2. 1 LOTOS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3. 2. 2. 2 Estelle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3. 2. 2. 3 SDL. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3. 2. 2. 4 ASN. l . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3. 2. 2. 5 TTCN. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 2. 6 Gypsy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 3 Graphical formalisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 3. 1 Petri nets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 3. 2 Higraphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3. 2. 4 Less formal methods and notations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 1 SADT. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 2 Structured Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 3 SSADM and LSDM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 4 JSPandJSD. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3. 2. 4. 5 HDM and the SPECIAL language . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3. 2. 4. 6 Structured analysis and design of real-time systems. . 27 3. 3 Support tools for FDTs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .


Specification and Transformation of Programs

Specification and Transformation of Programs

Author: Helmut A. Partsch

Publisher: Springer Science & Business Media

Published: 1990-07-05

Total Pages: 520

ISBN-13: 9783540523567

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"Specification and transformation of programs" is short for a methodology of software development where, from a formal specification of a problem to be solved, programs correctly solving that problem are constructed by stepwise application of formal, semantics-preserving transformation rules. The approach considers programming as a formal activity. Consequently, it requires some mathematical maturity and, above all, the will to try something new. A somewhat experienced programmer or a third- or fourth-year student in computer science should be able to master most of this material - at least, this is the level I have aimed at. This book is primarily intended as a general introductory textbook on transformational methodology. As with any methodology, reading and understanding is necessary but not sufficient. Therefore, most of the chapters contain a set of exercises for practising as homework. Solutions to these exercises exist and can, in principle, be obtained at nominal cost from the author upon request on appropriate letterhead. In addition, the book also can be seen as a comprehensive account of the particular transformational methodology developed within the Munich CIP project.


Understanding Z

Understanding Z

Author: J. M. Spivey

Publisher: Cambridge University Press

Published: 1988-03-31

Total Pages: 144

ISBN-13: 9780521334297

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The Z notation is a language for expressing mathematical specifications of computing systems. By providing a formal semantics for Z, this book justifies the claim that Z is a precise specification language, and provides a standard framework for understanding Z specifications.