Foundations Of Algebraic Specification And Formal Software Development
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Foundations of Algebraic Specification and Formal Software Development
Author: Donald Sannella
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-01-05
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.
Algebraic Specification Techniques in Object Oriented Programming Environments
"The main aim of this monograph is to provide a framework for the integrated design of object-oriented programs with algebraic specification techniques. The design method pursued relies fundamentally on the structuring of systems based on the notion of data types. Depending on the level of abstraction, data types are described in an object-oriented way by algebraic specifications or by machine-executable object-oriented programs. The treatment involves two main aspects. First, object-oriented programs have to be related by a notion of correctness that models the transition from specifications to program implementations. The author presents a notion of correctness which relies on the idea of abstraction functions. Second, in order to obtain an integrated design environment, a uniform structuring concept for object oriented programs and algebraic specifications has to be provided. Inheritance, subtyping and clientship are three central notions of object-oriented structuring. Theauthor uses them to develop the kernel of a typed object- oriented programming language. The monograph provides the formal foundation for a unified framework of algebraic specifications and object-oriented programs. A major guideline is the development of a design method supporting the structured design and reuse of software in this environment."--PUBLISHER'S WEBSITE.
Algebraic Specifications in Software Engineering
Author: Ivo Van Horebeek
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
"I prefer to view formal methods as tools. the use of which might be helpful." E. W. Dijkstra Algebraic specifications are about to be accepted by industry. Many projects in which algebraic specifications have been used as a design tool have been carried out. What prevents algebraic specifications from breaking through is the absence of introductory descriptions and tools supporting the construction of algebraic specifications. On the one hand. interest from industry will stimulate people to make introductions and tools. whereas on the other hand the existence of introductions and tools will stimulate industry to use algebraic specifications. This book should be seen as a contribution towards creating this virtuous circle. The book will be of interest to software designers and programmers. It can also be used as material for an introductory course on algebraic specifications and software engineering at undergraduate or graduate level. Nowadays. there is general agreement that in large software projects appropriate specifications are a must in order to obtain quality software. Informal specifications alone are certainly not appropriate because they are incomplete. inconsistent. inaccurate and ambiguous and they rapidly become bulky and therefore useless. The only way to overcome this problem is to use formal specifications. An important remark here is that a specification formalism (language) alone is not sufficient. What is also needed is a design method to write specifications in that formalism.