Author: Hartmut Ehrig Publisher: Springer Science & Business Media ISBN: 9783540517993 Category : Mathematics Languages : en Pages : 460
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.
Author: Hartmut Ehrig Publisher: Springer Science & Business Media ISBN: 3642612849 Category : Mathematics Languages : en Pages : 429
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.
Author: Hartmut Ehrig Publisher: Springer Science & Business Media ISBN: 3642699626 Category : Computers Languages : en Pages : 333
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.
Author: Egidio Astesiano Publisher: Springer Science & Business Media ISBN: 364259851X Category : Computers Languages : en Pages : 626
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.
Author: Donald Sannella Publisher: Springer Science & Business Media ISBN: 3642173365 Category : Computers Languages : en Pages : 584
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.
Author: Ingo Classen Publisher: World Scientific ISBN: 9789810212278 Category : Computers Languages : en Pages : 268
Book Description
The intention of this book is to show how algebraic specification methods can be used for software development to support reliability, modifiability and reusability. These methods are introduced by parameterized and module specifications through practical examples and case studies using algebraic specification languages and tools developed at TU Berlin.
Author: Hartmut Ehrig Publisher: Springer Science & Business Media ISBN: 9783540544968 Category : Computers Languages : en Pages : 396
Book Description
The algebraic specification of abstract data types is now a well establishedresearch topic in computer science. This area influences both applications and theoretical foundations of methodologies which support the design and formal development of reliable software. The Seventh Workshop on Specification of Abstract Data Types took place in Wusterhausen/Dosse, April17-20, 1990, and was organized in cooperation with the ESPRIT Basic Research Working Group COMPASS. The main topics covered by the workshop were: - Modularization - Object orientation - Higher-order types anddependent types - Inductive completion - Algebraic high-level nets.
Author: Igor Privara Publisher: Springer Science & Business Media ISBN: 9783540583387 Category : Computers Languages : en Pages : 644
Book Description
This volume constitutes the proceedings of the 19th International Symposium on Mathematical Foundations of Theoretical Computer Science, MFCS '94, held in Kosice, Slovakia in August 1994. MFCS '94 brought together specialists in theoretical fields of computer science from various countries in order to stimulate mathematical research in theoretical computer science. Besides 12 papers based on invited talks by renowned experts, the book contains 42 research contributions selected from a total of 112 submissions. All areas of theoretical computer science are presented, some from a particular mathematical point of view.
Author: Jan Grabowski Publisher: Springer Science & Business Media ISBN: 9783540506676 Category : Computers Languages : en Pages : 284
Book Description
This volume contains the proceedings of the First International Workshop on Algebraic and Logic Programming held in Gaussig (German Democratic Republic) from November 14 to 18, 1988. The workshop was devoted to Algebraic Programming, in the sense of programming by algebraic specifications and rewrite rule systems, and Logic Programming, in the sense of Horn clause specifications and resolution systems. This includes combined algebraic/logic programming systems, mutual relations and mutual implementation of programming paradigms, completeness and efficiency considerations in both fields, as well as related topics.
Author: Reiko Heckel Publisher: Springer ISBN: 3319753967 Category : Computers Languages : en Pages : 333
Book Description
This volume pays tribute to the scientific achievements of Hartmut Ehrig, who passed away in March 2016. The contributions represent a selection from a symposium, held in October 2016 at TU Berlin, commemorating Hartmut’ s life and work as well as other invited papers in the areas he was active in. These areas include Graph Transformation, Model Transformation, Concurrency Theory, in particular Petri Nets, Algebraic Specification, and Category Theory in Computer Science.
Author: Hartmut Ehrig
Author: Hartmut Ehrig
Author: Hartmut Ehrig
Author: Egidio Astesiano
Author: Donald Sannella
Author: Ingo Classen
Author: Hartmut Ehrig
Author: Igor Privara
Author: Jan Grabowski
Author: Reiko Heckel