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Foundations of Algebraic Specification and Formal Software Development / by Donald Sannella, Andrzej Tarlecki.

SpringerLink Books Computer Science (2011-2024) Available online

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Format:
Book
Author/Creator:
Sannella, D. (Donald), 1956- author.
Tarlecki, Andrzej, author.
Contributor:
SpringerLink (Online service)
Series:
Computer Science (Springer-11645)
Monographs in Theoretical Computer Science. An EATCS Series,. 1431-2654
Monographs in Theoretical Computer Science. An EATCS Series, 1431-2654
Language:
English
Subjects (All):
Computer logic.
Software engineering.
Logic, Symbolic and mathematical.
Categories (Mathematics).
Algebra, Homological.
Logics and Meanings of Programs.
Software Engineering/Programming and Operating Systems.
Mathematical Logic and Foundations.
Category Theory, Homological Algebra.
Local Subjects:
Logics and Meanings of Programs.
Software Engineering/Programming and Operating Systems.
Mathematical Logic and Foundations.
Category Theory, Homological Algebra.
Physical Description:
1 online resource (XVI, 584 pages).
Edition:
First edition 2012.
Contained In:
Springer eBooks
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
System Details:
text file PDF
Summary:
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.
Contents:
Introduction
Universal Algebra
Simple Equational Specifications
Category Theory
Working Within an Arbitrary Logical System
Structured Specifications
Parameterisation
Formal Program Development
Behavioural Specifications
Proofs for Specifications
Working with Multiple Logical Systems
References.
Other Format:
Printed edition:
ISBN:
978-3-642-17336-3
9783642173363
Access Restriction:
Restricted for use by site license.

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