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Initial Computability Algebraic Specifications And Partial Algebras
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Book Synopsis Initial Computability, Algebraic Specifications, and Partial Algebras by : Horst Reichel
Download or read book Initial Computability, Algebraic Specifications, and Partial Algebras written by Horst Reichel and published by Oxford University Press, USA. This book was released on 1987 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fundamentals of Algebraic Specification 1 by : Hartmut Ehrig
Download or read book Fundamentals of Algebraic Specification 1 written by Hartmut Ehrig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nondeterminism in Algebraic Specifications and Algebraic Programs by : Hussmann
Download or read book Nondeterminism in Algebraic Specifications and Algebraic Programs written by Hussmann and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic specification, nondeterminism and term rewriting are three active research areas aiming at concepts for the abstract description of software systems: Algebraic specifications are well-suited for describing data structures and sequential software systems in an abstract way. Term rewriting methods are used in many prototyping systems and form the basis for executing specifi cations. Nondeterminism plays a major role in formal language theory; in programming it serves for delaying design decisions in program development and occurs in a "natural" way in formalisations of distributed processes. Heinrich Hussmann presents an elegant extension of equational specification and term rewriting to include nondeterminism. Based on a clean modeltheoretic semantics he considers term rewriting systems without confluence restrictions as a specification language and shows that fundamental properties such as the existence of initial models or the soundness and completeness of narrowing, the basic mechanism for executing equational specifications, can be extended to nondeterministic computations. The work of Heinrich Hussmann is an excellent contribution to Algebraic Programming; it gives a framework that admits a direct approach to program verification, is suitable for describing concurrent and distributed processes, and it can be executed as fast as Prolog.
Book Synopsis Mathematical Foundations of Computer Science 1981 by : J. Gruska
Download or read book Mathematical Foundations of Computer Science 1981 written by J. Gruska and published by Springer Science & Business Media. This book was released on 1981-08 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamentals of Algebraic Specification 2 by : Hartmut Ehrig
Download or read book Fundamentals of Algebraic Specification 2 written by Hartmut Ehrig and published by Springer Science & Business Media. This book was released on 1989-12-28 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book CASL Reference Manual written by and published by Springer Science & Business Media. This book was released on 2004 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Structural Induction on Partial Algebras by : Horst Reichel
Download or read book Structural Induction on Partial Algebras written by Horst Reichel and published by Mathematical Research. This book was released on 1984 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Algebraic Specification and Formal Software Development by : Donald Sannella
Download or read book Foundations of Algebraic Specification and Formal Software Development written by Donald Sannella and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algebraic Methodology and Software Technology (AMAST’93) by : Maurice Nivat
Download or read book Algebraic Methodology and Software Technology (AMAST’93) written by Maurice Nivat and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Foundations of Computer Science 1991 by : Andrzej Tarlecki
Download or read book Mathematical Foundations of Computer Science 1991 written by Andrzej Tarlecki and published by Springer Science & Business Media. This book was released on 1991-08-07 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fundamentals of Algebraic Specification 2 by : Hartmut Ehrig
Download or read book Fundamentals of Algebraic Specification 2 written by Hartmut Ehrig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis CASL Reference Manual by : Peter D. Mosses
Download or read book CASL Reference Manual written by Peter D. Mosses and published by Springer. This book was released on 2004-02-24 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :Jean-Claude Raoult Publisher :Springer Science & Business Media ISBN 13 :9783540552512 Total Pages :376 pages Book Rating :4.5/5 (525 download)
Download or read book CAAP '92 written by Jean-Claude Raoult and published by Springer Science & Business Media. This book was released on 1992-02-19 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Structural Induction on Partial Algebras, II by : H. Reichel
Download or read book Structural Induction on Partial Algebras, II written by H. Reichel and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fundamentals of Algebraic Specification 1 by : Hartmut Ehrig
Download or read book Fundamentals of Algebraic Specification 1 written by Hartmut Ehrig and published by Springer. This book was released on 1985-03-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Algebraic Foundations of Systems Specification by : Egidio Astesiano
Download or read book Algebraic Foundations of Systems Specification written by Egidio Astesiano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Theory of Partial Algebraic Operations by : E.S. Ljapin
Download or read book The Theory of Partial Algebraic Operations written by E.S. Ljapin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays algebra is understood basically as the general theory of algebraic oper ations and relations. It is characterised by a considerable intrinsic naturalness of its initial notions and problems, the unity of its methods, and a breadth that far exceeds that of its basic concepts. It is more often that its power begins to be displayed when one moves outside its own limits. This characteristic ability is seen when one investigates not only complete operations, but partial operations. To a considerable extent these are related to algebraic operators and algebraic operations. The tendency to ever greater generality is amongst the reasons that playa role in explaining this development. But other important reasons play an even greater role. Within this same theory of total operations (that is, operations defined everywhere), there persistently arises in its different sections a necessity of examining the emergent feature of various partial operations. It is particularly important that this has been found in those parts of algebra it brings together and other areas of mathematics it interacts with as well as where algebra finds applica tion at the very limits of mathematics. In this connection we mention the theory of the composition of mappings, category theory, the theory of formal languages and the related theory of mathematical linguistics, coding theory, information theory, and algebraic automata theory. In all these areas (as well as in others) from time to time there arises the need to consider one or another partial operation.
