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CSP(M): Constraint Satisfaction Problem over Models

  • Conference paper
Model Driven Engineering Languages and Systems (MODELS 2009)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 5795))

Abstract

Constraint satisfaction programming (CSP) has been successfully used in model-driven development (MDD) for solving a wide range of (combinatorial) problems. In CSP, declarative constraints capture restrictions over variables with finite domains where both the number of variables and their domains are required to be a priori finite. However, the existing formulation of constraint satisfaction problems can be too restrictive to support dynamically evolving domains and constraints necessitated in many MDD applications as the graph nature of the underlying models needs to be encoded with variables of finite domain. In the paper, we reformulate the constraint satisfaction problem directly on the model-level by using graph patterns as constraints and graph transformation rules as labeling operations. This allows expressing problems composed of dynamic model manipulation and complex graph structural constraints in an intuitive way. Furthermore, we present a prototype constraint solver for the domain of graph models built upon the Viatra2 model transformation framework, and provide an initial evaluation of its performance.

This work was partially supported by the EC FP6 DIANA (AERO1-030985) European Project.

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References

  1. El-Boussaidi, G., Mili, H.: Detecting patterns of poor design solutions using constraint propagation. In: Czarnecki, K., Ober, I., Bruel, J.-M., Uhl, A., Völter, M. (eds.) MODELS 2008. LNCS, vol. 5301, pp. 189–203. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  2. White, J., Schmidt, D., Nechypurenko, A., Wuchner, E.: Introduction to the generic eclipse modelling system. Eclipse Magazine (6), 11–18 (2007)

    Google Scholar 

  3. Petter, A., Behring, A., Mühlhäuser, M.: Solving constraints in model transformation. In: Paige, R.F. (ed.) ICMT 2009. LNCS, vol. 5563, pp. 132–147. Springer, Heidelberg (2009)

    Google Scholar 

  4. Intelligent Systems Laboratory, Swedish Institute of Computer Science: Sicstus Users manual (2009), http://www.sics.se/sicstus/docs/latest4/pdf/sicstus.pdf

  5. Official website of ILOG Solver, http://www.ilog.com/products/cp/

  6. Miguel, I., Shen, Q.: Dynamic flexible constraint satisfaction. Applied Intelligence 13(3), 231–245 (2000)

    Article  Google Scholar 

  7. Algebraic Approaches to Graph Transformation. In: Rozenberg, G. (ed.) Handbook of Graph Grammars and Computing by Graph Transformations. Foundations, vol. 1. World Scientific, Singapore (1997)

    Google Scholar 

  8. Varró, D., Balogh, A.: The Model Transformation Language of the VIATRA2 Framework. Science of Computer Programming 68(3), 214–234 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  9. Varró, D., Pataricza, A.: VPM: A visual, precise and multilevel metamodeling framework for describing mathematical domains and UML. Journal of Software and Systems Modeling 2(3), 187–210 (2003)

    Article  Google Scholar 

  10. 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)

    Chapter  Google Scholar 

  11. Weld, D.S.: An introduction to least commitment planning. AI Magazine 15(4), 27–61 (1994)

    Google Scholar 

  12. Baptista, L., Margues-Silva, J.: Using randomization and learning to solve hard real-world instances of satisfiability. In: Dechter, R. (ed.) CP 2000. LNCS, vol. 1894, pp. 489–494. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  13. Varró-Gyapay, S., Varró, D.: Optimization in graph transformation systems using petri net based techniques. Electronic Communications of the EASST 2 (2006)

    Google Scholar 

  14. Heckel, R., Küster, J.M., Taentzer, G.: Confluence of typed attributed graph transformation systems. In: Corradini, A., Ehrig, H., Kreowski, H.-J., Rozenberg, G. (eds.) ICGT 2002. LNCS, vol. 2505, pp. 161–176. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  16. Bergmann, G., Ökrös, A., Ráth, I., Varró, D., Varró, G.: Incremental pattern matching in the VIATRA transformation system. In: GRaMoT 2008, 3rd Int. Workshop on Graph and Model Transformation (2008)

    Google Scholar 

  17. Lin, Y., Gray, J., Jouault, F.: Dsmdiff: A differentiation tool for domain-specific models. European Journal of Information Systems, Special Issue on Model-Driven Systems Development 16(4), 349–361 (2007)

    Google Scholar 

  18. Official website of the Distributed equipment Independent environment for Advanced avioNics Applications (DIANA) European project, http://diana.skysoft.pt

  19. Sen, S., Baudry, B., Precup, D.: Partial model completion in model driven engineering using constraint logic programming. In: INAP 2007: International Conference on Applications of Declarative Programming and Knowledge Management, Würzburg, Germany (2007)

    Google Scholar 

  20. Janota, M., Kuzina, V., Wasowski, A.: Model construction with external constraints: An interactive journey from semantics to syntax. In: Czarnecki, K., Ober, I., Bruel, J.-M., Uhl, A., Völter, M. (eds.) MODELS 2008. LNCS, vol. 5301, pp. 431–445. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  21. Rudolf, M.: Utilizing constraint satisfaction techniques for efficient graph pattern matching. In: Ehrig, H., Engels, G., Kreowski, H.-J., Rozenberg, G. (eds.) TAGT 1998. LNCS, vol. 1764, pp. 238–252. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  22. Anastasakis, K., Bordbar, B., Georg, G., Ray, I.: On challenges of model transformation from UML to Alloy. Software and Systems Modeling (2009)

    Google Scholar 

  23. Winkelmann, J., Taentzer, G., Ehrig, K., Küster, J.M.: Translation of restricted ocl constraints into graph constraints for generating meta model instances by graph grammars. Electron. Notes Theor. Comput. Sci. 211, 159–170 (2008)

    Article  MATH  Google Scholar 

  24. Jackson, E., Sztipanovits, J.: Constructive techniques for meta and model level reasoning. In: Engels, G., Opdyke, B., Schmidt, D.C., Weil, F. (eds.) MODELS 2007. LNCS, vol. 4735, pp. 405–419. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  25. 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)

    Chapter  Google Scholar 

  26. 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 

  27. Schiex, T.: Solution reuse in dynamic constraint satisfaction problems. In: Proceedings of the 12th National Conference on Artificial Intelligence, pp. 307–312. AAAI Press, Menlo Park (1994)

    Google Scholar 

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Horváth, Á., Varró, D. (2009). CSP(M): Constraint Satisfaction Problem over Models. In: Schürr, A., Selic, B. (eds) Model Driven Engineering Languages and Systems. MODELS 2009. Lecture Notes in Computer Science, vol 5795. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04425-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-04425-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04424-3

  • Online ISBN: 978-3-642-04425-0

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