Graph-grammars and their application to computer science: 2nd international workshop, Haus Ohrbeck, Germany, October 4-8, 1982 (Lecture notes in computer science)

Science & Math

Ehrig, Hartmut

Rozenberg, Grzegorz

Nagl, Manfred (eds.)

Mathematics

Springer, Verlag

In fünf sorgfältig aufeinander abgestimmten Teilen behandelt das Buch die wesentlichen mathematischen Elemente der formalen Spezifikation von Systemen und der Aussagen- und Prädikatenlogik, die für das Verständnis des formalisierten Problemlösens entscheidend und damit für Informatiker unerläßlich sind. Eine Einführung in die intuitive Mengentheorie vermittelt zunächst notwendige mathematische Grundlagen. Motiviert durch das Konzept von Datenstrukturen und abstrakten Datentypen werden dann algebraische Strukturen in der Informatik behandelt. Danach werden Aussagen- und Prädikatenlogik aus der Sicht der Mathematik und Informatik dargestellt. Schließlich führt die Kategorientheorie für Informatiker in die Welt der abstrakten Behandlung mathematischer Strukturen ein.Die Neuauflage wurde erweitert um Darstellungen zur Modellalgebra und zur Implementierung. Übungsaufgaben wurden ergänzt.

Mathematisch-strukturelle Grundlagen der Informatik (Springer-Lehrbuch) (German Edition)

Computers & Technology

Große-Rhode, Martin

Mahr, Bernd

Cornelius, F.

Zeitz, P.

Computer Science

Springer

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: Module Specifications and Constraints (Monographs in Theoretical Computer Science. An EATCS Series, 21)

Reference

This is the first textbook treatment of the algebraic approach to graph transformation, based on algebraic structures and category theory. It contains an introduction to classical graphs. Basic and advanced results are first shown for an abstract form of replacement systems and are then instantiated to several forms of graph and Petri net transformation systems. The book develops typed attributed graph transformation and contains a practical case study.

Fundamentals of Algebraic Graph Transformation (Monographs in Theoretical Computer Science. An EATCS Series)

Ehrig, Karsten

Prange, Ulrike

Taentzer, Gabriele

Two important new concepts, module specifications and constraints, are introduced in this second volume of a three-volume set on fundamentals of algebraic specification. These concepts are motivated by problems in practical software development and are studied here from a theoretical point of view. Modularization is one of the main structuring principles in software development. Modules and module specifications can be seen as the basic building blocks which are used in modularization of software systems and software system specification. Constraints are introduced to increase the expressive power of algebraic specifications in order to make them more useful for practical applications. The book is suitable both as a textbook for graduate courses in formal specification of data types and software systems and as a reference for researchers and system developers.

Fundamentals of Algebraic Specification 2: Module Specifications and Constraints (Monographs in Theoretical Computer Science. An EATCS Series)

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.

Fundamentals of Algebraic Specification 1: Equations and Initial Semantics (Monographs in Theoretical Computer Science. An EATCS Series)

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.

Algebraic Specification Techniques and Tools for Software Development: The ACT Approach (Amast Computing)

Claben, Ingo

Wolz, Dietmar

World Scientific Publishing Company

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