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Algebraic Foundations of Systems Specification

Algebraic Foundations of Systems Specification
Author: Egidio Astesiano
Publisher: Springer Science & Business Media
Total Pages: 626
Release: 2012-12-06
Genre: Computers
ISBN: 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.

Foundations of Algebraic Specification and Formal Software Development

Foundations of Algebraic Specification and Formal Software Development
Author: Donald Sannella
Publisher: Springer Science & Business Media
Total Pages: 594
Release: 2012-01-05
Genre: Computers
ISBN: 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.

Fundamentals of Algebraic Specification 1

Fundamentals of Algebraic Specification 1
Author: Hartmut Ehrig
Publisher: Springer Science & Business Media
Total Pages: 333
Release: 2012-12-06
Genre: Computers
ISBN: 3642699626
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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 Foundations of Sysstems Specification

Algebraic Foundations of Sysstems Specification
Author: E. Astesino
Publisher:
Total Pages: 616
Release: 1999
Genre: Electronic books
ISBN:
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The aim of software engineering is the provision and investigation of methods for the development of software systems of high quality with correctness as a key issue. A system is called correct if it does what one wants, if it meets the requirements. To achieve and to guarantee correct systems, the need of formal methods with rigorous semantics and the possibility of verification is widely accepted. Algebraic specification is a software engineering approach of this perspective. When Liskov and Zilles, Guttag and the ADJ-group with Goguen, Thatch er, Wagner and Wright introduced the basic ideas of algebraic specification in the mid seventies in the U. S. A. and Canada, they initiated a very successful and still flourishing new area. In the late seventies, algebraic specification became a major research topic also in many European countries. Originally, the algebraic framework was intended for the mathematical foundation of ab stract data types and the formal development of first-order applicative pro grams. Meanwhile, the range of applications has been extended to the precise specification of complete software systems, the uniform definition of syntax and semantics of programming languages, and to the stepwise development of correct systems from the requirement definitions to the running programs. The activities in the last 25 years have led to an abundance of concepts, methods, approaches, theories, languages and tools, which are mathemati cally founded in universal algebra, category theory and logic.

Fundamentals of Algebraic Specification 2

Fundamentals of Algebraic Specification 2
Author: Hartmut Ehrig
Publisher: Springer Science & Business Media
Total Pages: 460
Release: 1989-12-28
Genre: Mathematics
ISBN: 9783540517993
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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.

Fundamentals of Algebraic Specification 2

Fundamentals of Algebraic Specification 2
Author: Hartmut Ehrig
Publisher: Springer Science & Business Media
Total Pages: 429
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642612849
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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 Methodology and Software Technology

Algebraic Methodology and Software Technology
Author: Armando M. Haeberer
Publisher: Springer Science & Business Media
Total Pages: 542
Release: 1998-12-15
Genre: Computers
ISBN: 3540654623
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AMAST’s goal is to advance awareness of algebraic and logical methodology as part of the fundamental basis of software technology. Ten years and seven conferences after the start of the AMAST movement, I believe we are attaining this. The movement has propagated throughout the world, assembling many enthusiastic specialists who have participated not only in the conferences, which are now annual, but also in the innumerable other activities that AMAST promotes and supports. We are now facing the Seventh International Conference on Algebraic Methodology and Software Technology (AMAST’98). The previous meetings were held in Iowa City, USA (1989 and 1991), in Enschede, The Netherlands (1993), in Montreal, Canada (1995), in Munich, Germany (1996), and in Sydney, Australia (1997). This time it is Brazil’s turn, in a very special part of this colorful country – Amazonia. Thus, “if we have done more it is by standing on the shoulders of giants.” The effort started by Teodor Rus, Arthur Fleck, and William A. Kirk at AMAST’89 was consolidated in AMAST'91 by Teodor Rus, Maurice Nivat, Charles Rattray, and Giuseppe Scollo. Then came modular construction of the building, wonderfully carried out by Giuseppe Scollo, Vangalur Alagar, Martin Wirsing, and Michael Johnson, as Program Chairs of the AMAST conferences held between 1993 and 1997.

Recent Trends in Algebraic Development Techniques

Recent Trends in Algebraic Development Techniques
Author: Maura Cerioli
Publisher: Springer
Total Pages: 353
Release: 2003-07-31
Genre: Computers
ISBN: 3540456457
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This book constitutes the thoroughly refereed post-workshop proceedings of the 15th International Workshop on Algebraic Development Techniques, WADT 2001, held jointly with the General Workshop of the ESPRIT Working Group CoFI in Genova, Italy, in April 2001. The book presents 16 papers selected from 32 workshop presentations. Among the topics addressed are formal specification, specification languages, term rewriting, and proof systems.

Algebraic Methodology and Software Technology

Algebraic Methodology and Software Technology
Author: Teodor Rus
Publisher: Springer
Total Pages: 556
Release: 2003-06-26
Genre: Computers
ISBN: 3540454993
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The AMAST movement was initiated in 1989 with the First International C- ference on Algebraic Methodology and Software Technology (AMAST), held on May 21{23in Iowa City, Iowa,and aimed at setting the development of software technology on a mathematical basis. The virtue of the software technology en- sioned by AMAST is the capability to produce software that has the following properties: (a) it is correct and its correctness can be proved mathematically, (b) it is safe, such that it can be used in the implementation of critical systems, (c) it is portable, i. e. , it is independent of computing platforms and language generations, and (d) it is evolutionary, i. e. , it is self-adaptable and evolves with the problem domain. Ten years later a myriad of workshops, conferences, and researchprogramsthat sharethe goalsof the AMAST movementhaveoccurred. This can be taken as proof that the AMAST vision is right. However, often the myriad of workshops, conferences, and research programs lack the clear obj- tives and the coordination of their goals towards the software technology en- sioned by AMAST. This can be taken as a proof that AMAST is still necessary.