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Canonical Derivations with Negative Application Conditions

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Graph Transformation (ICGT 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8571))

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Abstract

Using graph transformations to specify the dynamics of distributed systems and networks, we require a precise understanding of concurrency. Negative application conditions (NACs) are an essential means for controlling the application of rules, extending our ability to model complex systems. A classical notion of concurrency in graph transformation is based on shift equivalence and its representation by canonical derivations, i.e., normal forms of the shift operation anticipating independent steps. These concepts are lifted to graph transformation systems with NACs and it is shown that canonical derivations exist for so-called incremental NACs.

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References

  1. Baldan, P., Corradini, A., Montanari, U., Rossi, F., Ehrig, H., Löwe, M.: Concurrent Semantics of Algebraic Graph Transformations. In: Rozenberg, G. (ed.) The Handbook of Graph Grammars and Computing by Graph Transformations, Concurrency, Parallelism and Distribution, vol. 3, pp. 107–188. World Scientific (1999)

    Google Scholar 

  2. Baldan, P., Corradini, A., Heindel, T., König, B., Sobociński, P.: Unfolding grammars in adhesive categories. In: Kurz, A., Lenisa, M., Tarlecki, A. (eds.) CALCO 2009. LNCS, vol. 5728, pp. 350–366. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  3. Baldan, P., Corradini, A., Montanari, U., Ribeiro, L.: Unfolding semantics of graph transformation. Inf. Comput. 205(5), 733–782 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  4. Corradini, A., Heckel, R., Hermann, F., Gottmann, S., Nachtigall, N.: Transformation systems with incremental negative application conditions. In: Martí-Oliet, N., Palomino, M. (eds.) WADT 2012. LNCS, vol. 7841, pp. 127–142. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  5. Corradini, A., Montanari, U., Rossi, F.: Graph processes. Fundamenta Informaticae 26(3/4), 241–265 (1996)

    MATH  MathSciNet  Google Scholar 

  6. Ehrig, H., Ehrig, K., Prange, U., Taentzer, G.: Fundamentals of Algebraic Graph Transformation. EATCS Monographs in Theor. Comp. Science. Springer (2006)

    Google Scholar 

  7. Ehrig, H.: Introduction to the algebraic theory of graph grammars (a survey). In: Claus, V., Ehrig, H., Rozenberg, G. (eds.) Graph Grammars 1978. LNCS, vol. 73, pp. 1–69. Springer, Heidelberg (1978)

    Chapter  Google Scholar 

  8. Golas, U., Ehrig, H., Habel, A.: Multi-amalgamation in adhesive categories. In: Ehrig, H., Rensink, A., Rozenberg, G., Schürr, A. (eds.) ICGT 2010. LNCS, vol. 6372, pp. 346–361. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  9. Habel, A., Heckel, R., Taentzer, G.: Graph Grammars with Negative Application Conditions. Fundamenta Informaticae 26(3,4), 287–313 (1996)

    MATH  MathSciNet  Google Scholar 

  10. Habel, A., Müller, J., Plump, D.: Double-pushout graph transformation revisited. Mathematical Structures in Computer Science 11(5), 637–688 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  11. Heckel, R.: DPO Transformation with Open Maps. In: Ehrig, H., Engels, G., Kreowski, H.-J., Rozenberg, G. (eds.) ICGT 2012. LNCS, vol. 7562, pp. 203–217. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  12. Hermann, F.: Permutation equivalence of DPO derivations with negative application conditions based on Subobject Transformation Systems. ECEASST 16 (2008)

    Google Scholar 

  13. Hermann, F., Gottmann, S., Nachtigall, N., Braatz, B., Morelli, G., Pierre, A., Engel, T.: On an automated translation of satellite procedures using triple graph grammars. In: Duddy, K., Kappel, G. (eds.) ICMT 2013. LNCS, vol. 7909, pp. 50–51. Springer, Heidelberg (2013)

    Google Scholar 

  14. Kreowski, H.J.: Is parallelism already concurrency? Part 1: Derivations in graph grammars. In: Ehrig, H., Nagl, M., Rosenfeld, A., Rozenberg, G. (eds.) Graph Grammars 1986. LNCS, vol. 291, pp. 343–360. Springer, Heidelberg (1987)

    Chapter  Google Scholar 

  15. Lack, S., Sobocinski, P.: Adhesive and quasiadhesive categories. ITA 39(3) (2005)

    Google Scholar 

  16. Lambers, L., Ehrig, H., Orejas, F., Prange, U.: Parallelism and Concurrency in Adhesive High-Level Replacement Systems with Negative Application Conditions. In: Proceedings of the ACCAT workshop at ETAPS 2007. ENTCS, vol. 203 / 6, pp. 43–66. Elsevier (2008)

    Google Scholar 

  17. Lambers, L.: Certifying Rule-Based Models using Graph Transformation. Ph.D. thesis. Technische Universität, Berlin (2009)

    Google Scholar 

  18. Taentzer, G.: Parallel high-level replacement systems. Theor. Comput. Sci. 186(1-2), 43–81 (1997)

    Article  MATH  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Dipartimento di Informatica, Università di Pisa, Italy

    Andrea Corradini

  2. University of Leicester, UK

    Reiko Heckel

Authors
  1. Andrea Corradini
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  2. Reiko Heckel
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Editor information

Editors and Affiliations

  1. Hasso Plattner Institut an der Universität Potsdam, Prof.-Dr.-Helmert-Strasse 2-3, 14482, Potsdam, Germany

    Holger Giese

  2. Fakultät für Ingenieurwissenschaften, Abteilung für Informatik und Angewandte Kognitionswissenscaft, Universität Duisburg-Essen, Lotharstraße 65, 47057, Duisburg, Germany

    Barbara König

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Corradini, A., Heckel, R. (2014). Canonical Derivations with Negative Application Conditions. In: Giese, H., König, B. (eds) Graph Transformation. ICGT 2014. Lecture Notes in Computer Science, vol 8571. Springer, Cham. https://doi.org/10.1007/978-3-319-09108-2_14

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  • DOI: https://doi.org/10.1007/978-3-319-09108-2_14

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09107-5

  • Online ISBN: 978-3-319-09108-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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