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.

Algebraic Specification of Information Systems

Algebraic Specification of Information Systems PDF Author: Erkki Karimaa
Publisher:
ISBN:
Category : Information storage and retrieval systems
Languages : en
Pages : 126

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Book Description
Finnish summary.

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.

Fundamentals of Algebraic Specification 1

Fundamentals of Algebraic Specification 1 PDF Author: Hartmut Ehrig
Publisher: Springer Science & Business Media
ISBN: 3642699626
Category : Computers
Languages : en
Pages : 333

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Book Description
The aim of this book is to present fundamentals of algebraic specifications with respect to the following three aspects: fundamentals in the sense of a carefully motivated introduction to algebraic specifications, which is easy to understand for computer scientists and mathematicians; fundamentals in the sense of mathematical theories which are the basis for precise definitions, constructions, results, and correctness proofs; and fundamentals in the sense of concepts, which are introduced on a conceptual level and formalized in mathematical terms. The book is equally suitableas a text book for graduate courses and as a reference for researchers and system developers.

Algebraic Specification Techniques in Object Oriented Programming Environments

Algebraic Specification Techniques in Object Oriented Programming Environments PDF Author: Ruth Breu
Publisher: Springer Verlag
ISBN: 9780387549729
Category : Computers
Languages : en
Pages : 228

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Book Description
"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 Foundations of Systems Specification

Algebraic Foundations of Systems Specification PDF Author: Egidio Astesiano
Publisher: Springer Science & Business Media
ISBN: 364259851X
Category : Computers
Languages : en
Pages : 626

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Book Description
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.

Fundamentals of Algebraic Specification 2

Fundamentals of Algebraic Specification 2 PDF Author: Hartmut Ehrig
Publisher: Springer Science & Business Media
ISBN: 9783540517993
Category : Mathematics
Languages : en
Pages : 460

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Book Description
Since the early seventies concepts of specification have become central in the whole area of computer science. Especially algebraic specification techniques for abstract data types and software systems have gained considerable importance in recent years. They have not only played a central role in the theory of data type specification, but meanwhile have had a remarkable influence on programming language design, system architectures, arid software tools and environments. The fundamentals of algebraic specification lay a basis for teaching, research, and development in all those fields of computer science where algebraic techniques are the subject or are used with advantage on a conceptual level. Such a basis, however, we do not regard to be a synopsis of all the different approaches and achievements but rather a consistently developed theory. Such a theory should mainly emphasize elaboration of basic concepts from one point of view and, in a rigorous way, reach the state of the art in the field. We understand fundamentals in this context as: 1. Fundamentals in the sense of a carefully motivated introduction to algebraic specification, which is understandable for computer scientists and mathematicians. 2. Fundamentals in the sense of mathematical theories which are the basis for precise definitions, constructions, results, and correctness proofs. 3. Fundamentals in the sense of concepts from computer science, which are introduced on a conceptual level and formalized in mathematical terms.

Algebraic System Specification and Development

Algebraic System Specification and Development PDF Author: Michel Bidoit
Publisher: Springer Science & Business Media
ISBN: 9783540540601
Category : Computers
Languages : en
Pages : 116

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Book Description
Methods for the algebraic specification of abstract data types were proposed in the early 1970s in the USA and Canada and became a major research issue in Europe shortly afterwards. Since then the algebraic approach has come to play a central role in research on formal specification and development, as its range of applications was extended to the specification of complete software systems, to the formal description of the program development process, and to the uniform definition of syntax and semantics of programming languages. Today this approach extends beyond just software to the development of integrated hardware and software systems. These flourishing activities in the area of algebraic specifications have led to an abundance of approaches, theories and concepts, which have universal algebra, category theory and logic as a common mathematical basis. This volume is an annotated bibliography which provides an up-to-date overview of past and present work on algebraic specification. No attempt is made to provide a coherent introduction to the topic for beginners; the intention is rather to provide a guide to the current literature for researchers in algebraic specification and neighboring fields. Some indications of how the different approaches are related are included, together with some ideas concerning possible future directions.

Specification, Algebra, and Software

Specification, Algebra, and Software PDF Author: Shusaku Iida
Publisher: Springer
ISBN: 3642546242
Category : Computers
Languages : en
Pages : 675

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Book Description
This Festschrift volume, published in honor of Kokichi Futatsugi, contains 31 invited contributions from internationally leading researchers in formal methods and software engineering. Prof. Futatsugi is one of the founding fathers of the field of algebraic specification and verification and is a leading researcher in formal methods and software engineering. He has pioneered and advanced novel algebraic methods and languages supporting them such as OBJ and CafeOBJ and has worked tirelessly over the years to bring such methods and tools in contact with software engineering practice. This volume contains contributions from internationally leading researchers in formal methods and software engineering.

Deriving Object-Oriented Specifications from Algebraic Specifications through Refinement

Deriving Object-Oriented Specifications from Algebraic Specifications through Refinement PDF Author: Bastian Dölle
Publisher: Cuvillier Verlag
ISBN: 3867274525
Category :
Languages : en
Pages : 173

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Book Description


Formal Ontology in Information Systems

Formal Ontology in Information Systems PDF Author: B. Bennett
Publisher: IOS Press
ISBN: 1607502119
Category : Computers
Languages : en
Pages : 388

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Book Description
Researchers in areas such as artificial intelligence, formal and computational linguistics, biomedical informatics, conceptual modeling, knowledge engineering and information retrieval have come to realise that a solid foundation for their research calls for serious work in ontology, understood as a general theory of the types of entities and relations that make up their respective domains of inquiry. In all these areas, attention is now being focused on the content of information rather than on just the formats and languages used to represent information. The clearest example of this development is provided by the many initiatives growing up around the project of the Semantic Web. And, as the need for integrating research in these different fields arises, so does the realisation that strong principles for building well-founded ontologies might provide significant advantages over ad hoc, case-based solutions. The tools of formal ontology address precisely these needs, but a real effort is required in order to apply such philosophical tools to the domain of information systems. Reciprocally, research in the information sciences raises specific ontological questions which call for further philosophical investigations. The purpose of FOIS is to provide a forum for genuine interdisciplinary exchange in the spirit of a unified effort towards solving the problems of ontology, with an eye to both theoretical issues and concrete applications. This book contains a wide range of areas, all of which are important to the development of formal ontologies.