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Explicit State Model Checking for Graph Grammars

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Concurrency, Graphs and Models

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

Abstract

In this paper we present the philosophy behind the GROOVE project, in which graph transformation is used as a modelling formalism on top of which a model checking approach to software verification is being built. We describe the basic formalism, the current state of the project, and (current and future) challenges.

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References

  1. Baldan, P., Corradini, A., König, B.: Verifying finite-state graph grammars: An unfolding-based approach. In: Gardner, P., Yoshida, N. (eds.) CONCUR 2004. LNCS, vol. 3170, pp. 83–98. Springer, Heidelberg (2004)

    Google Scholar 

  2. Baldan, P., Corradini, A., König, B., Lluch-Lafuente, A.: A temporal graph logic for verification of graph transformation systems. In: Fiadeiro, J.L., Schobbens, P.-Y. (eds.) WADT 2006. LNCS, vol. 4409, pp. 1–20. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. Baldan, P., König, B.: Approximating the behaviour of graph transformation systems. In: Corradini, A., Ehrig, H., Kreowski, H.-J., Rozenberg, G. (eds.) ICGT 2002. LNCS, vol. 2505, pp. 14–29. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Beyer, D., Henzinger, T.A., Jhala, R., Majumdar, R.: The software model checker Blast. STTT 9(5-6), 505–525 (2007)

    Article  Google Scholar 

  5. Dill, D.L.: The murφ verification system. In: Alur, R., Henzinger, T.A. (eds.) CAV 1996. LNCS, vol. 1102, pp. 390–393. Springer, Heidelberg (1996)

    Google Scholar 

  6. Ehrig, H., Ehrig, K., Habel, A., Pennemann, K.H.: Theory of constraints and application conditions: From graphs to high-level structures. Fundam. Inform. 74(1), 135–166 (2006)

    MathSciNet  MATH  Google Scholar 

  7. Ehrig, H., Ehrig, K., Prange, U., Taentzer, G.: Fundamental theory for typed attributed graphs and graph transformation based on adhesive HLR categories. Fundam. Inform. 74(1), 31–61 (2006)

    MathSciNet  MATH  Google Scholar 

  8. Ehrig, H., Ehrig, K., Prange, U., Taentzer, G.: Fundamentals of Algebraic Graph Transformation. Springer, Heidelberg (2006)

    MATH  Google Scholar 

  9. Ehrig, H., König, B.: Deriving bisimulation congruences in the dpo approach to graph rewriting. In: Walukiewicz, I. (ed.) FOSSACS 2004. LNCS, vol. 2987, pp. 151–166. Springer, Heidelberg (2004)

    Google Scholar 

  10. Ehrig, H., Padberg, J., Prange, U., Habel, A.: Adhesive high-level replacement systems: A new categorical framework for graph transformation. Fundam. Inform. 74(1), 1–29 (2006)

    MathSciNet  MATH  Google Scholar 

  11. Emerson, E.A., Sistla, A.P.: Symmetry and model checking. Formal Methods in System Design 9(1/2), 105–131 (1996)

    Article  Google Scholar 

  12. Ferreira, A.P.L., Foss, L., Ribeiro, L.: Formal verification of object-oriented graph grammars specifications. In: Rensink, A., Heckel, R., König, B. (eds.) Graph Transformation for Concurrency and Verification (GT-VC). Electr. Notes Theor. Comput. Sci, vol. 175, pp. 101–114 (2007)

    Google Scholar 

  13. Habel, A., Heckel, R., Taentzer, G.: Graph grammars with negative application conditions. Fundam. Inform. 26(3/4), 287–313 (1996)

    MathSciNet  MATH  Google Scholar 

  14. Habel, A., Pennemann, K.H.: Satisfiability of high-level conditions. In: Corradini, A., Ehrig, H., Montanari, U., Ribeiro, L., Rozenberg, G. (eds.) ICGT 2006. LNCS, vol. 4178, pp. 430–444. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  15. Hirsch, D., Montanari, U.: Synchronized hyperedge replacement with name mobility. In: Larsen, K.G., Nielsen, M. (eds.) CONCUR 2001. LNCS, vol. 2154, pp. 121–136. Springer, Heidelberg (2001)

    Google Scholar 

  16. Holzmann, G.J.: The model checker SPIN. IEEE Trans. Software Eng. 23(5), 279–295 (1997)

    Article  MathSciNet  Google Scholar 

  17. Java PathFinder – A Formal Methods Tool for Java, http://ase.arc.nasa.gov/people/havelund/jpf.html

  18. Kastenberg, H., Kleppe, A.G., Rensink, A.: Defining object-oriented execution semantics using graph transformations. In: Gorrieri, R., Wehrheim, H. (eds.) FMOODS 2006. LNCS, vol. 4037, pp. 186–201. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  19. König, B., Kozioura, V.: Counterexample-guided abstraction refinement for the analysis of graph transformation systems. In: Hermanns, H., Palsberg, J. (eds.) TACAS 2006. LNCS, vol. 3920, pp. 197–211. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  20. Lack, S., Sobocinski, P.: Adhesive categories. In: Walukiewicz, I. (ed.) FOSSACS 2004. LNCS, vol. 2987, pp. 273–288. Springer, Heidelberg (2004)

    Google Scholar 

  21. Lambers, L., Ehrig, H., Orejas, F.: Efficient detection of conflicts in graph-based model transformation. Electr. Notes Theor. Comput. Sci. 152, 97–109 (2006)

    Article  Google Scholar 

  22. Levendovszky, T., Prange, U., Ehrig, H.: Termination criteria for dpo transformations with injective matches. Electron. Notes Theor. Comput. Sci. 175(4), 87–100 (2007)

    Article  Google Scholar 

  23. Löwe, M.: Algebraic approach to single-pushout graph transformation. Theoretical Computer Science 109(1–2), 181–224 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  24. Montanari, U., Pistore, M.: History-dependent automata: An introduction. In: Bernardo, M., Bogliolo, A. (eds.) SFM-Moby 2005. LNCS, vol. 3465, pp. 1–28. Springer, Heidelberg (2005)

    Google Scholar 

  25. Rensink, A.: Towards model checking graph grammars. In: Gruner, S., Presti, S.L., eds.: Workshop on Automated Verification of Critical Systems (AVoCS), Southampton, UK. Volume DSSE-TR-, -02 of Technical Report., University of Southampton (2003) 150–160 (2003)

    Google Scholar 

  26. Rensink, A.: Canonical graph shapes. In: Schmidt, D. (ed.) ESOP 2004. LNCS, vol. 2986, pp. 401–415. Springer, Heidelberg (2004)

    Google Scholar 

  27. Rensink, A.: The GROOVE simulator: A tool for state space generation. In: Pfaltz, J.L., Nagl, M., Böhlen, B. (eds.) AGTIVE 2003. LNCS, vol. 3062, pp. 479–485. Springer, Heidelberg (2004)

    Google Scholar 

  28. Rensink, A.: Representing first-order logic using graphs. In: Ehrig, H., Engels, G., Parisi-Presicce, F., Rozenberg, G. (eds.) ICGT 2004. LNCS, vol. 3256, pp. 319–335. Springer, Heidelberg (2004)

    Google Scholar 

  29. Rensink, A.: Model checking quantified computation tree logic. In: Baier, C., Hermanns, H. (eds.) CONCUR 2006. LNCS, vol. 4137, pp. 110–125. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  30. Rensink, A.: Isomorphism checking in GROOVE. In: Zündorf, A., Varró, D. (eds.) Graph-Based Tools (GraBaTs). Electronic Communications of the EASST, European Association of Software Science and Technology, vol. 1, Natal, Brazil (September 2007)

    Google Scholar 

  31. Rensink, A., Distefano, D.: Abstract graph transformation. Electr. Notes Theor. Comput. Sci. 157(1), 39–59 (2006)

    Article  Google Scholar 

  32. Robby, D.M.B., Hatcliff, J.: Bogor: A flexible framework for creating software model checkers. In: McMinn, P. (ed.) Testing: Academia and Industry Conference - Practice And Research Techniques (TAIC PART), pp. 3–22. IEEE Computer Society, Los Alamitos (2006)

    Google Scholar 

  33. Rozenberg, G. (ed.): Handbook of Graph Grammars and Computing by Graph Transformation. Foundations, vol. I. World Scientific, Singapore (1997)

    Google Scholar 

  34. Sagiv, S., Reps, T.W., Wilhelm, R.: Parametric shape analysis via 3-valued logic. ACM Trans. Program. Lang. Syst. 24(3), 217–298 (2002)

    Article  Google Scholar 

  35. Varró, D.: Automated formal verification of visual modeling languages by model checking. Software and System Modeling 3(2), 85–113 (2004)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Computer Science, University of Twente, The Netherlands

    Arend Rensink

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  1. Arend Rensink
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Pierpaolo Degano Rocco De Nicola José Meseguer

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Rensink, A. (2008). Explicit State Model Checking for Graph Grammars. 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_8

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  • DOI: https://doi.org/10.1007/978-3-540-68679-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-68676-7

  • Online ISBN: 978-3-540-68679-8

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