Authors:
- First textbook treatment of the algebraic approach to graph transformation
- Includes supplementary material: sn.pub/extras
Part of the book series: Monographs in Theoretical Computer Science. An EATCS Series (EATCS)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (15 chapters)
-
Front Matter
-
Introduction to Graph Transformation Systems
-
Front Matter
-
-
Adhesive High-Level Replacement Categories and Systems
-
Front Matter
-
-
Typed Attributed Graph Transformation Systems
-
Front Matter
-
-
Case Study on Model Transformation, and Tool Support by AGG
-
Front Matter
-
About this book
Graphs are widely used to represent structural information in the form of objects and connections between them. Graph transformation is the rule-based manipulation of graphs, an increasingly important concept in computer science and related fields. This is the first textbook treatment of the algebraic approach to graph transformation, based on algebraic structures and category theory.
Part I is an introduction to the classical case of graph and typed graph transformation. In Part II basic and advanced results are first shown for an abstract form of replacement systems, so-called adhesive high-level replacement systems based on category theory, and are then instantiated to several forms of graph and Petri net transformation systems. Part III develops typed attributed graph transformation, a technique of key relevance in the modeling of visual languages and in model transformation. Part IV contains a practical case study on model transformation and a presentation of the AGG (attributed graph grammar) tool environment. Finally the appendix covers the basics of category theory, signatures and algebras.
The book addresses both research scientists and graduate students in computer science, mathematics and engineering.
Reviews
From the reviews:
"A general theory of graph transformations … has been developed. … It is a very clear exposition of this material, spanning the breadth from underlying mathematics to an applications case study. … The authors have done a very good job of presenting an area in which many different threads of research have developed in to a general theory … . The book provides a helpful roadmap to the published research in the area, and a systematic treatment that emphasizes the fundamentals … ." (Charles J. Colbourn, Zentralblatt MATH, Vol. 1095 (21), 2006)
Authors and Affiliations
-
Institute for Software Engineering and Theoretical Computer Science, Technical University of Berlin, Berlin, Germany
Hartmut Ehrig, Karsten Ehrig, Ulrike Prange, Gabriele Taentzer
Bibliographic Information
Book Title: Fundamentals of Algebraic Graph Transformation
Authors: Hartmut Ehrig, Karsten Ehrig, Ulrike Prange, Gabriele Taentzer
Series Title: Monographs in Theoretical Computer Science. An EATCS Series
DOI: https://doi.org/10.1007/3-540-31188-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Hardcover ISBN: 978-3-540-31187-4Published: 10 February 2006
Softcover ISBN: 978-3-642-06831-7Published: 18 November 2010
eBook ISBN: 978-3-540-31188-1Published: 01 May 2006
Series ISSN: 1431-2654
Series E-ISSN: 2193-2069
Edition Number: 1
Number of Pages: XIII, 390
Topics: Theory of Computation, Programming Languages, Compilers, Interpreters, Programming Techniques, Computation by Abstract Devices, Logics and Meanings of Programs, Mathematical Logic and Formal Languages