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Linear-Ordered Graph Grammars: Applications to Distributed Systems Design

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Concurrency, Graphs and Models

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5065))

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Abstract

Linear-ordered graph grammars (LOGGs) are a special kind of graph grammars that were inspired by the general definitions of graph grammars and by tile systems. In this paper we show that this kind of grammar is particularly suited for the specification of distributed systems. Moreover, we discuss a simple extension of LOGGs inspired by the representation using tiles, leading to a notion of open graphs that can be very useful in a wider range of applications.

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References

  1. Bruni, R., Montanari, U.: Dynamic connectors for concurrency. Theor. Comput. Sci. 281(1–2), 131–176 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  2. Corradini, A., Gadducci, F.: An algebraic presentation of term graphs via gs-monoidal categories. Applied Categorical Structures 7, 299–331 (1999)

    Article  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  4. Dotti, F., Mendizabal, O., Santos, O.: Verifying fault-tolerant distributed systems using object-based graph grammars. In: Maziero, C.A., Gabriel Silva, J., Andrade, A.M.S., Assis Silva, F.M.d. (eds.) LADC 2005. LNCS, vol. 3747, pp. 80–100. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Dotti, F., Ribeiro, L., Santos, O.: Specification and analysis of fault behaviours using graph grammars. In: Pfaltz, J.L., Nagl, M., Böhlen, B. (eds.) AGTIVE 2003. LNCS, vol. 3062, pp. 120–133. Springer, Heidelberg (2004)

    Google Scholar 

  6. Ehrig, H., Heckel, R., Korff, M., Lowë, M., Ribeiro, L., Wagner, A., Corradini, A.: Algebraic approaches to graph transformation II: Single pushout approach and comparison with double pushout approach. In: Handbook of graph grammars and computing by graph transformation, vol. 2, pp. 247–312. World Scientific, Singapore (1997)

    Google Scholar 

  7. Ehrig, H.: Introduction to the algebraic theory of graph grammars. In: Ng, E.W., Ehrig, H., Rozenberg, G. (eds.) Graph Grammars 1978. LNCS, vol. 73, pp. 1–69. Springer, Heidelberg (1979)

    Chapter  Google Scholar 

  8. Ehrig, H., Kreowski, H.-J., Montanari, U., Rozenberg, G. (eds.): Handbook of graph grammars and computing by graph transformation, vol. 3: Concurrency, parallelism and distribution. World Scientific, Singapore (1999)

    MATH  Google Scholar 

  9. Ferrari, G., Montanari, U.: Tile formats for located and mobile systems. Information and Computation 156(1/2), 173–235 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  10. Gadducci, F., Montanari, U.: The tile model. In: Plotkin, G., Stirling, C., Tofte, M. (eds.) Proof, Language and Interaction: Essays in Honour of Robin Milner, MIT Press, Cambridge (2000)

    Google Scholar 

  11. Gadducci, F., Montanari, U.: Comparing logics for rewriting: Rewriting logic, action calculi and tile logic. Theor. Comput. Sci. 285(2), 319–358 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  12. Korff, M.: Generalized graph structures with application to concurrent object-oriented systems, Ph.D. thesis, Technische Universität Berlin (1995)

    Google Scholar 

  13. Lowë, M.: Algebraic approach to single-pushout graph transformation. Theor. Comput. Sci. 109, 181–224 (1993)

    Article  Google Scholar 

  14. Meseguer, J., Montanari, U.: Mapping tile logic into rewriting logic. In: Parisi-Presicce, F. (ed.) WADT 1997. LNCS, vol. 1376, pp. 62–91. Springer, Heidelberg (1998)

    Google Scholar 

  15. Montanari, U., Ribeiro, L.: Linear ordered graph grammars and their algebraic foundations. In: Corradini, A., Ehrig, H., Kreowski, H.-J., Rozenberg, G. (eds.) ICGT 2002. LNCS, vol. 2505, pp. 317–333. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  16. Rozenberg, G.: Handbook of graph grammars and computing by graph transformation, vol. 1: Foundations. World Scientific, Singapore (1997)

    MATH  Google Scholar 

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Pierpaolo Degano Rocco De Nicola José Meseguer

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Ribeiro, L., Dotti, F.L. (2008). Linear-Ordered Graph Grammars: Applications to Distributed Systems Design. In: Degano, P., De Nicola, R., Meseguer, J. (eds) Concurrency, Graphs and Models. Lecture Notes in Computer Science, vol 5065. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68679-8_9

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  • DOI: https://doi.org/10.1007/978-3-540-68679-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-68676-7

  • Online ISBN: 978-3-540-68679-8

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