Abstract
The concept of graph transformation units in its original sense is a structuring principle for graph transformation systems which allows the interleaving of rule applications with calls of imported units in a controlled way. The semantics of a graph transformation unit is a binary relation on an underlying type of graphs. In order to get a flexible typing mechanism for transformation units and a high degree of parallelism this paper introduces typed graph transformation units that transform k-tuples of typed input graphs into l-tuples of typed output graphs in a controlled and structured way. The transformation of the typed graph tuples is performed with actions that apply graph transformation rules and imported typed units simultaneously to the graphs of a tuple. The transformation process is controlled with control conditions and with graph tuple class expressions. The new concept of typed graph transformation units is illustrated with examples from the area of string parsing with finite automata.
Research partially supported by the EC Research Training Network SegraVis (Syntactic and Semantic Integration of Visual Modeling Techniques) and the Collaborative Research Centre 637 (Autonomous Cooperating Logistic Processes: A Paradigm Shift and Its Limitations) funded by the German Research Foundation (DFG).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Andries, M., Engels, G., Habel, A., Hoffmann, B., Kreowski, H.-J., Kuske, S., Plump, D., Schürr, A., Taentzer, G.: Graph transformation for specification and programming. Science of Computer Programming 34(1), 1–54 (1999)
Corradini, A., Ehrig, H., Heckel, R., Löwe, M., Montanari, U., Rossi, F.: Algebraic approaches to graph transformation part I: Basic concepts and double pushout approach. In: Rozenberg [15], pp. 163–245
Corradini, A., Montanari, U., Rossi, F.: Graph processes. Fundamenta Informaticae 26(3,4), 241–265 (1996)
Drewes, F., Habel, A., Kreowski, H.-J.: Hyperedge replacement graph grammars. In: Rozenberg [15], pp. 95–162
Ehrig, H., Engels, G., Kreowski, H.-J., Rozenberg, G. (eds.): Handbook of Graph Grammars and Computing by Graph Transformation. Applications, Languages and Tools, vol. 2. World Scientific, Singapore (1999)
Ehrig, H., Heckel, R., Korff, M., Löwe, M., Ribeiro, L., Wagner, A., Corradini, A.: Algebraic approaches to graph transformation II: Single pushout approach and comparison with double pushout approach. In: Rozenberg [15], pp. 247–312
Ehrig, H., Kreowski, H.-J., Montanari, U., Rozenberg, G. (eds.): Handbook of Graph Grammars and Computing by Graph Transformation. Concurrency, Parallelism, and Distribution, vol. 3. World Scientific, Singapore (1999)
Engelfriet, J., Rozenberg, G.: Node replacement graph grammars. In: Rozenberg [15], pp. 1–94
Klempien-Hinrichs, R., Kreowski, H.-J., Kuske, S.: Rule-based transformation of graphs and the product type. In: van Bommel, P., (ed.) Handbook on Transformation of Knowledge, Information, and Data (to appear)
Kreowski, H.-J., Kuske, S.: On the interleaving semantics of transformation units — a step into GRACE. In: Cuny, J., Engels, G., Ehrig, H., Rozenberg, G. (eds.) Graph Grammars 1994. LNCS, vol. 1073, pp. 89–108. Springer, Heidelberg (1996)
Kreowski, H.-J., Kuske, S.: Graph transformation units and modules. In: Ehrig, Engels, Kreowski, and Rozenberg [5], pp. 607–638
Kreowski, H.-J., Kuske, S.: Graph transformation units with interleaving semantics. Formal Aspects of Computing 11(6), 690–723 (1999)
Kreowski, H.-J., Kuske, S., Schürr, A.: Nested graph transformation units. International Journal on Software Engineering and Knowledge Engineering 7(4), 479–502 (1997)
Pratt, T.W.: Pair grammars, graph languages and string-to-graph translations. Journal of Computer and System Sciences 5, 560–595 (1971)
Rozenberg, G. (ed.): Handbook of Graph Grammars and Computing by Graph Transformation. Foundations, vol. 1. World Scientific, Singapore (1997)
Schürr, A.: Specification of graph translators with triple graph grammars. In: Mayr, E.W., Schmidt, G., Tinhofer, G. (eds.) WG 1994. LNCS, vol. 903, pp. 151–163. Springer, Heidelberg (1995)
Schürr, A.: Programmed graph replacement systems. In: Rozenberg [15], pp. 479–546
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Klempien-Hinrichs, R., Kreowski, HJ., Kuske, S. (2004). Typing of Graph Transformation Units. In: Ehrig, H., Engels, G., Parisi-Presicce, F., Rozenberg, G. (eds) Graph Transformations. ICGT 2004. Lecture Notes in Computer Science, vol 3256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30203-2_10
Download citation
DOI: https://doi.org/10.1007/978-3-540-30203-2_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23207-0
Online ISBN: 978-3-540-30203-2
eBook Packages: Springer Book Archive