Initial Computability, Algebraic Specifications, and Partial Algebras
Initial Computability, Algebraic Specifications, and Partial Algebras

Author: Horst Reichel

Publisher: Oxford University Press, USA

Published: 1987

Total Pages: 232

ISBN-13:

DOWNLOAD EBOOK

One of the first detailed expositions of partial algebras, this book develops a special theory of partial algebras as a powerful foundation of a model theoretic, initial semantics of algebraic specification languages. Professor Reichel explores the possibility of increasing the use of partial algebras, particularly in computer science. He presents examples of algebraic specifications of increasing complexity and proves that structural induction can yield a complete calculus of abstract programs on parameterized abstract data types. Finally, he extends the model-theoretic initial semantics of abstract data types with partial operations to behavioral semantics.

Foundations of Algebraic Specification and Formal Software Development
Foundations of Algebraic Specification and Formal Software Development

Author: Donald Sannella

Publisher: Springer Science & Business Media

Published: 2012-01-05

Total Pages: 594

ISBN-13: 3642173365

DOWNLOAD EBOOK

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.

CAAP '92
CAAP '92

Author: Jean-Claude Raoult

Publisher: Springer Science & Business Media

Published: 1992-02-19

Total Pages: 376

ISBN-13: 9783540552512

DOWNLOAD EBOOK

This volume contains selected papers presented at the seventeenth Colloquiumon Trees in Algebra and Programming (CAAP) held jointly with the European Symposium on Programming (ESOP) in Rennes, France, February 26-28, 1992 (the proceedings of ESOP appear in LNCS 582). The previous colloquia were held in France, Italy, Germany, Spain, Denmark and England. Every even year, as in 1992, CAAP is held jointly with ESOP; every other year, it is part of TAPSOFT (Theory And Practice of SOFTware development). In the beginning, CAAP was devoted to algebraic and combinatorial properties of trees and their role in various fields of computer science. The scope of CAAP has now been extended to other discrete structures, like graphs, equations and transformations of graphs, and their links with logical theories. The programme committee received 40 submissions, from which 19 papers have been selected for inclusion inthis volume.

CASL Reference Manual
CASL Reference Manual

Author: Peter D. Mosses

Publisher: Springer

Published: 2004-02-24

Total Pages: 520

ISBN-13: 3540246487

DOWNLOAD EBOOK

CASL, the Common Algebraic Specification Language, was designed by the members of CoFI, the Common Framework Initiative for algebraic specification and development, and is a general-purpose language for practical use in software development for specifying both requirements and design. CASL is already regarded as a de facto standard, and various sublanguages and extensions are available for specific tasks. This reference manual presents a detailed documentation of the CASL specification formalism. It reviews the main underlying concepts, and carefully summarizes the intended meaning of each construct of CASL. The book formally defines both the syntax and semantics of CASL, and presents a logic for reasoning about CASL specifications. Furthermore, extensive libraries of CASL specifications of basic data types are provided as well as a comprehensive annotated bibliography of CoFI publications. As a separate, complementary book LNCS 2900 presents a tutorial introduction to CASL, the CASL User Manual.

Mathematical Foundations of Computer Science 1991
Mathematical Foundations of Computer Science 1991

Author: Andrzej Tarlecki

Publisher: Springer Science & Business Media

Published: 1991-08-07

Total Pages: 458

ISBN-13: 9783540543459

DOWNLOAD EBOOK

This volume contains the proceedings of the 16th International Symposium on Mathematical Foundations of Computer Science, MFCS '91, held in Kazimierz Dolny, Poland, September 9-13, 1991. The series of MFCS symposia, organized alternately in Poland and Czechoslovakia since 1972, has a long and well established tradition. The purpose of the series is to encourage high-quality research in all branches of theoretical computer science and to bring together specialists working actively in the area. Principal areas of interest in this symposium include: software specification and development, parallel and distributed computing, logic and semantics of programs, algorithms, automata and formal languages, complexity and computability theory, and others. The volume contains 5 invited papers by distinguished scientists and 38 contributions selected from a total of 109 submitted papers.

Algebraic Methodology and Software Technology (AMAST’93)
Algebraic Methodology and Software Technology (AMAST’93)

Author: Maurice Nivat

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 429

ISBN-13: 1447132270

DOWNLOAD EBOOK

The goal of the AMAST conferences is to foster algebraic methodology as a foundation for software technology, and to show that this can lead to practical mathematical alternatives to the ad-hoc approaches commonly used in software engineering and development. The first two AMAST conferences, held in May 1989 and May 1991 at the University of Iowa, were well received and encouraged the regular organization of further AMAST conferences on a biennial schedule. The third Conference on Algebraic Methodology and Software Technology was held in the campus of the University of Twente, The Netherlands, during the first week of Summer 1993. Nearly a hundred people from all continents attended the conference. The largest interest received by the AMAST conference among the professionals extended to include the administration organizations as well. AMAST'93 was opened by the Rector of the University of Twente, followed by the Local Chairman. Their opening addresses open this proceedings, too. The proceedings contains 8 invited papers and 32 selected communica tions. The selection was very strict, for 121 submissions were received.

Algebra, Meaning, and Computation
Algebra, Meaning, and Computation

Author: Kokichi Futatsugi

Publisher: Springer Science & Business Media

Published: 2006-06-22

Total Pages: 679

ISBN-13: 354035462X

DOWNLOAD EBOOK

This volume - honoring the computer science pioneer Joseph Goguen on his 65th Birthday - includes 32 refereed papers by leading researchers in areas spanned by Goguen's work. The papers address a variety of topics from meaning, meta-logic, specification and composition, behavior and formal languages, as well as models, deduction, and computation, by key members of the research community in computer science and other fields connected with Joseph Goguen's work.

Recent Trends in Algebraic Development Techniques
Recent Trends in Algebraic Development Techniques

Author: Didier Bert

Publisher: Springer

Published: 2004-02-02

Total Pages: 491

ISBN-13: 3540446168

DOWNLOAD EBOOK

This book constitutes the thoroughly refereed post-workshop proceedings of the 14th International Workshop on Algebraic Development Techniques, WADT'99, held in Toulouse, France in September 1999. The 23 revised full papers presented together with three invited papers were carefully reviewed and selected from 69 workshop presentations. The papers address the following topics: algebraic specification and other specification formalisms, test and validation, concurrent processes applications, logic and validation, combining formalisms, subsorts and partiality, structuring, rewriting, co-algebras and sketches, refinement, institutions and categories, and ASM specifications.