Graphs are among the simplest and most universal models for a variety of s- tems, not just in computer science, but throughout engineering and the life sciences. When systems evolve we are interested in the way they change, to p- dict, support, or react to their evolution. Graph transformation combines the idea of graphs as a universal modelling paradigm with a rule-based approach to specify their evolution. The area is concerned with both the theory of graph transformation and their application to a variety of domains. The biannual International Conferences on Graph Transformation aim at bringingtogetherresearchersandpractitionersinterestedin the foundations and applicationsof graphtransformation.The ?fth conference,ICGT 2010,was held at the University of Twente (The Netherlands) in September/October 2010, alongwith severalsatellite events.It continuedthe line ofconferences previously held in Barcelona (Spain) in 2002, Rome (Italy) 2004, Natal (Brazil) in 2006 and Leicester (UK) in 2008, as well as a series of six International Workshops on Graph Transformation with Applications in Computer Science from 1978 to 1998. Also, ICGT alternates with the workshop series on Application of Graph Transformation with Industrial Relevance (AGTIVE). The conference was held under the auspices of EATCS and EASST.

This book constitutes the thoroughly refereed postproceedings of the 16th International Symposium on Logic Based Program Synthesis and Transformation, LOPSTR 2006, held in Venice, Italy, July 2006 in conjunction with ICALP 2006, PPDP 2006, and CSFW 2006. The 14 revised full papers cover tools for program development, partial evaluation and program transformation, security and synthesis, debugging and testing, as well as termination and analysis.

This book constitutes the proceedings of the 7th International Conference on Graph Transformations, ICGT 2014, held in York, UK, in July 2014. The 17 papers and 1 invited paper presented were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections on verification, meta-modelling and model transformations, rewriting and applications in biology, graph languages and graph transformation, and applications.

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

1 The tenth anniversary of the LOPSTR symposium provided the incentive for this volume. LOPSTR started in 1991 as a workshop on logic program synthesis and transformation, but later it broadened its scope to logic-based program development in general, that is, program development in computational logic, and hence the title of this volume. The motivating force behind LOPSTR has been the belief that declarative paradigms such as logic programming are better suited to program development tasks than traditional non-declarative ones such as the imperative paradigm. Speci?cation, synthesis, transformation or specialization, analysis, debugging and veri?cation can all be given logical foundations, thus providing a unifying framework for the whole development process. In the past 10 years or so, such a theoretical framework has indeed begun to emerge. Even tools have been implemented for analysis, veri?cation and speci- ization. However,itisfairtosaythatsofarthefocushaslargelybeenonprogrammi- in-the-small. So the future challenge is to apply or extend these techniques to programming-in-the-large, in order to tackle software engineering in the real world. Returning to this volume, our aim is to present a collection of papers that re?ect signi?cant research e?orts over the past 10 years. These papers cover the wholedevelopmentprocess:speci?cation,synthesis,analysis,transformationand specialization, as well as semantics and systems.

Ulrike Golas extends a mathematical theory of algebraic graph and model transformations for more sophisticated applications like the specification of syntax, semantics, and model transformations of complex models. Based on M-adhesive transformation systems, model transformations are successfully analyzed regarding syntactical correctness, completeness, functional behavior, and semantical simulation and correctness.

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 13th International Conference on Computer Aided Verification, CAV 2001, held in Paris, France in July 2001. The 33 revised full papers presented were carefully reviewed and selected from 106 regular paper submissions; also included are 13 reviewed tool presentations selected from 27 submissions. The book offers topical sections on model checking and theorem proving, automata techniques, verification core technology, BDD and decision trees, abstraction and refinement, combinations, infinite state systems, temporal logics and verification, microprocessor verification and cache coherence, SAT and applications, and timed automata.

This book constitutes the refereed proceedings of the 19th Conference on Foundations of Software Technology and Theoretical Computer Science, FSTTCS'99, held in Chennai, India, in December 1999. The 30 revised full papers presented were carefully reviewed and selected from a total of 84 submissions. Also included are six invited contributions. The papers presented address all current issues in theoretical computer science and programming theory.