Foundations of Algebraic Specification and Formal Software Development

Foundations of Algebraic Specification and Formal Software Development PDF Author: Donald Sannella
Publisher: Springer Science & Business Media
ISBN: 3642173365
Category : Computers
Languages : en
Pages : 594

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Book Description
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.

Foundations of Algebraic Specification and Formal Software Development

Foundations of Algebraic Specification and Formal Software Development PDF Author: Donald Sannella
Publisher: Springer Science & Business Media
ISBN: 3642173365
Category : Computers
Languages : en
Pages : 594

Get Book Here

Book Description
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.

An Introduction to Formal Specification and Z

An Introduction to Formal Specification and Z PDF Author: Ben Potter
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 456

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Book Description
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.

Specification of Software Systems

Specification of Software Systems PDF Author: V.S. Alagar
Publisher: Springer
ISBN: 9780857292766
Category : Computers
Languages : en
Pages : 646

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Book Description
This extensively revised and updated new edition of Specification of Software Systems builds upon the original focus on software specification with added emphasis on the practice of formal methods for specification and verification activities for different types of software systems and at different stages of developing software systems. Topics and features: provides a wide coverage of formal specification techniques and a clear writing style, supported by end-of-chapter bibliographic notes for further reading; presents a logical structure, with sections devoted to specification fundamentals, basics of formalism, logic, set theory and relations, property-oriented specification methods, and model-based specification techniques; contains end-of-chapter exercises and numerous case studies, with potential course outlines suggested in the Preface; covers Object-Z, B-Method, and Calculus of Communicating Systems; offers material that can be taught with tool-supported laboratory projects.

Larch: Languages and Tools for Formal Specification

Larch: Languages and Tools for Formal Specification PDF Author: John V. Guttag
Publisher: Springer Science & Business Media
ISBN: 1461227046
Category : Mathematics
Languages : en
Pages : 266

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Book Description
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 Discrete Mathematics

An Introduction to Discrete Mathematics PDF Author: Steven Roman
Publisher: Harcourt College Pub
ISBN: 9780155417304
Category : Mathematics
Languages : en
Pages : 469

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Book Description
Intended for a one-term course in discrete mathematics, to prepare freshmen and sophomores for further work in computer science as well as mathematics. Sets, proof techniques, logic, combinatorics, and graph theory are covered in concise form. All topics are motivated by concrete examples, often emphasizing the interplay between computer science and mathematics. Examples also illustrate all definitions. Applications and references cover a wide variety of realistic situations. Coverage of mathematical induction includes the stroung form of induction, and new sections have been added on nonhomogeneous recurrence relations and the essentials of probability.

Formal Specification and Documentation Using Z

Formal Specification and Documentation Using Z PDF Author: Jonathan Peter Bowen
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 324

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Book Description


Automated Theorem Proving in Software Engineering

Automated Theorem Proving in Software Engineering PDF Author: Johann M. Schumann
Publisher: Springer Science & Business Media
ISBN: 3662226464
Category : Computers
Languages : en
Pages : 252

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Book Description
Growing demands for the quality, safety, and security of software can only be satisfied by the rigorous application of formal methods during software design. This book methodically investigates the potential of first-order logic automated theorem provers for applications in software engineering. Illustrated by complete case studies on protocol verification, verification of security protocols, and logic-based software reuse, this book provides techniques for assessing the prover's capabilities and for selecting and developing an appropriate interface architecture.

Automatic Program Development

Automatic Program Development PDF Author: Olivier Danvy
Publisher: Springer Science & Business Media
ISBN: 140206585X
Category : Computers
Languages : en
Pages : 283

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Book Description
This work, a tribute to renowned researcher Robert Paige, is a collection of revised papers published in his honor in the Higher-Order and Symbolic Computation Journal in 2003 and 2005. Among them there are two key papers: a retrospective view of his research lines, and a proposal for future studies in the area of the automatic program derivation. The book also includes some papers by members of the IFIP Working Group 2.1 of which Bob was an active member.

Logical Analysis of Hybrid Systems

Logical Analysis of Hybrid Systems PDF Author: André Platzer
Publisher: Springer Science & Business Media
ISBN: 3642145094
Category : Mathematics
Languages : en
Pages : 446

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Book Description
Hybrid systems are models for complex physical systems and have become a widely used concept for understanding their behavior. Many applications are safety-critical, including car, railway, and air traffic control, robotics, physical–chemical process control, and biomedical devices. Hybrid systems analysis studies how we can build computerized controllers for physical systems which are guaranteed to meet their design goals. The author gives a unique, logic-based perspective on hybrid systems analysis. It is the first book that leverages the power of logic for hybrid systems. The author develops a coherent logical approach for systematic hybrid systems analysis, covering its theory, practice, and applications. It is further shown how the developed verification techniques can be used to study air traffic and railway control systems. This book is intended for researchers, postgraduates, and professionals who are interested in hybrid systems analysis, cyberphysical or embedded systems design, logic and theorem proving, or transportation and automation.

Formal Engineering for Industrial Software Development

Formal Engineering for Industrial Software Development PDF Author: Shaoying Liu
Publisher: Springer Science & Business Media
ISBN: 3662072874
Category : Computers
Languages : en
Pages : 410

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Book Description
In any serious engineering discipline, it would be unthinkable to construct a large system without having a precise notion of what is to be built and without verifying how the system is expected to function. Software engineering is no different in this respect. Formal methods involve the use of mathematical notation and calculus in software development; such methods are difficult to apply to large-scale systems with practical constraints (e.g., limited developer skills, time and budget restrictions, changing requirements). Here Liu claims that formal engineering methods may bridge this gap. He advocates the incorporation of mathematical notation into the software engineering process, thus substantially improving the rigor, comprehensibility and effectiveness of the methods commonly used in industry. This book provides an introduction to the SOFL (Structured Object-Oriented Formal Language) method that was designed and industry-tested by the author. Written in a style suitable for lecture courses or for use by professionals, there are numerous exercises and a significant real-world case study, so the readers are provided with all the knowledge and examples needed to successfully apply the method in their own projects.