Focusing on the core principles of algebra, this book provides a comprehensive introduction to the subject. It covers essential concepts, techniques, and problem-solving strategies, making it suitable for beginners and those looking to strengthen their understanding. The text is structured to facilitate learning, with clear explanations and examples that illustrate the application of algebra in various contexts. Ideal for students, educators, and self-learners, it serves as a valuable resource for mastering algebraic fundamentals.
Algebraic specification techniques have become pivotal in computer science, particularly in the realms of abstract data types and software systems. This book presents a comprehensive theory that emphasizes core concepts, providing a well-motivated introduction to algebraic specification suitable for both computer scientists and mathematicians. It focuses on establishing precise definitions and formalizing computer science concepts mathematically, serving as a foundational resource for teaching, research, and development in algebraic techniques and their applications in programming and system design.
This book is a comprehensive explanation of graph and model transformation. It contains a detailed introduction, including basic results and applications of the algebraic theory of graph transformations, and references to the historical context. Then in the main part the book contains detailed chapters on M-adhesive categories, M-adhesive transformation systems, and multi-amalgamated transformations, and model transformation based on triple graph grammars. In the final part of the book the authors examine application of the techniques in various domains, including chapters on case studies and tool support. The book will be of interest to researchers and practitioners in the areas of theoretical computer science, software engineering, concurrent and distributed systems, and visual modelling.
This book constitutes the refereed proceedings of the 4th International Conference on Graph Transformations, ICGT 2008, held in Leicester, UK, in September 2008. The 27 revised full papers presented together with 5 tutorial and workshop papers and 3 invited lectures were carefully selected from 57 submissions. All current aspects in graph drawing are addressed including hypergraphs and termgraph rewriting, applications of graph transformation, execution of graph transformations, compositional systems, validation and verification, graph languages and special transformation concepts, as well as patterns and model transformations. In addition the volume contains 17 short papers of the ICGT 2008 Doctoral Symposium.
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.
This book constitutes the documentation of the scientific outcome of the priority program Integration of Software Specification Techniques for Applications in Engineering sponsored by the German Research Foundation (DFG). It includes main contributions of the projects of the priority program and of additional international experts in the field. Some of the papers included were presented at the related Third International Workshop on the topic, INT 2004, held in Barcelona, Spain in March 2004. The 25 revised full papers presented together with 6 section introductions by the volume editors were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on reference case study production automation, reference case study traffic control systems, petri nets and related approaches in engineering, charts, verification, and integration modeling.
This book constitutes the refereed proceedings of the Second International Conference on Graph Transformation, ICGT 2004, held in Rome, Italy, in September/October 2004. The 26 revised full papers presented together with three invited contributions and summaries of 2 tutorials and 5 workshops were carefully reviewed and selected from 58 submissions. The papers are organized in topical sections on integration technology, chemistry and biology, graph transformation concepts, DPO theory for high-level structures, analysis and testing, graph theory and algorithms, application conditions and logic, transformation of special structures, and object-orientation.
InhaltsverzeichnisThe Petri Net Baukasten of the DFG Forschergruppe PETRI NET TECHNOLOGY.Application Development Assistance with the Petri Net Baukasten.Petri Net Transformations in the ? Petri Net Baukasten?.Four Steps Towards Sound Business Process Models.Generation of Animation Views for Petri Nets in GenGED.The Petri Net Kernel.The Petri Net Markup Language.Case Study Logistics: Flexible Modeling of Business Processes Using Algebraic Higher-Order Nets.Rule-Based Refinement of Petri Nets: A Survey.Modelling a Railway Crossing with Message Sequence Charts and Petri Nets.Quantitative Engineering of Business Processes with VIPbusiness.Inter-organizational Business Process Management with XML Nets.Three-Level Process Specification for Dynamic Service Outsourcing: From Petri Nets to ebXML and WFPDL.Open Petri Nets as Semantic Model for Workflow Integration.Team Automata for CSCW – A Survey –.Comparing Petri Net and Activity Diagram Variants for Workflow Modelling – A Quest for Reactive Petri Nets.BASYSNET – An Integrated Approach for Automated Control System Development.The Electronic Tool Integration Platform (ETI) and the Petri Net Technology.Inheritance of Business Processes: A Journey Visiting Four Notorious Problems.A Formal Framework for Petri Net Class Transformations.Concurrency Based Transition Refinement for the Verification of Distributed Algorithms.
Since their introduction nearly 40 years ago, research on Petri nets has diverged in many different directions. Various classes of Petri net, motivated either by theory or applications, with its own specific features and methods of analysis, have been proposed and studies in depth. These successful developments have led to a very heterogeneous landscape of diverse models, and this, in turn, has stimulated research on concepts and approaches that contribute to unifying and structuring the diverse landscape. This state-of-the-art survey presents the most relevant approaches to unifying Petri nets in a systematic and coherent way. The 14 chapters written by leading researchers are organized in topical sections on application-oriented approaches, unifying frameworks, and theoretical approaches.
The area of graph transformation emerged in the late 1960s as "graph grammars," driven by practical needs in pattern recognition and compiler construction. Over the years, it has significantly influenced various fields, including software specification and development, VLSI layout, database design, modeling of concurrent systems, parallel computer architectures, logic programming, computer animation, developmental biology, music composition, distributed systems, specification languages, software and web engineering, and visual languages. Today, graph transformation is recognized as a fundamental computational paradigm encompassing specification, programming, and implementation.
This volume features papers selected from the Sixth International Workshop on Theory and Applications of Graph Transformation, held in Paderborn, Germany, from November 16-20, 1998. After a rigorous refereeing process, 33 papers were chosen from the 55 presented at the workshop. The collection offers a comprehensive overview of the current state of the field, organized into nine sections that highlight the most active research areas. This workshop was the sixth in a series held every four years, previously titled "Graph Grammars and Their Application to Computer Science." The new title reflects the balanced emphasis on both theory and application in contemporary research.
