Fundamentals of Algebraic Graph Transformation (Monographs in Theoretical Computer Science. An EATCS Series)
Edition: 1 edition
Publisher: Springer
Published: March 14, 2006
Language: eng
Format: Hardcover
Number of pages: 388
ISBN-13: 9783540311874
Subjects: Computer architecture & logic design; Computing and Information Technology; General Theory of Computing; Computers - Languages / Programming; Computer Books: General; Computers; Programming Languages - General; Logic Design; Computer Science; Programming - Software Development; Computers / Computer Science; category theory; formal specification techniques; graph transformation; model transformation; replacement systems
Description: 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.