Abstract
A crucial idea of Model Driven Engineering is that model transformation can be described uniformly in terms of meta-model mappings. Based on the fact that meta-models define an abstract syntax from which one can describe elements of modeling languages, transformation rules that arise from MDA-based techniques are often described as explicit and clear. However, one of the remaining difficulties is to check the correctness of these transformations in order to prove that they preserve constraints which may be expressed over meta-models. Currently, the MDE gives methodological issues for the use of OCL to express these constraints but without providing automated formal reasonings. This paper discusses how a formal method, such as B, can be used in an MDE process in order to rigourously reason about meta-models and associated model transformations. We propose to adapt existing UML-to-B techniques in order to obtain a formal specification of meta-models and hence the various constraints can be introduced using B invariants. We also show how transformation rules can be encoded using B operations and what kinds of reasoning can be performed on the resulting B specifications. Such a technique allows to assist the MDE by proof and animation tools.
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References
Abrial, J.-R.: The B-book: assigning programs to meanings. Cambridge University Press (1996)
Brottier, E., Fleurey, F., Steel, J., Baudry, B., Le Traon, Y.: Metamodel-based test generation for model transformations: an algorithm and a tool. In: ISSRE, pp. 85–94. IEEE Computer Society (2006)
Jouault, F., Kurtev, I.: Transforming models with atl. In: Bruel, J.-M. (ed.) MoDELS 2005. LNCS, vol. 3844, pp. 128–138. Springer, Heidelberg (2006)
Jouault, F., Allilaire, F., Bézivin, J., Kurtev, I.: Atl: A model transformation tool. Sci. Comput. Program. 72(1-2), 31–39 (2008)
Kurtev, I.: State of the art of qvt: A model transformation language standard. In: Schürr, A., Nagl, M., Zündorf, A. (eds.) AGTIVE 2007. LNCS, vol. 5088, pp. 377–393. Springer, Heidelberg (2008)
Laleau, R., Polack, F.: Coming and going from UML to B: A proposal to support traceability in rigorous is development. In: Bert, D., Bowen, J.P., Henson, M.C., Robinson, K. (eds.) ZB 2002. LNCS, vol. 2272, pp. 517–534. Springer, Heidelberg (2002)
Lano, K.: Using B to verify UML Transformations. In: MoDeVa: Model Development, Validation and Verification (October 2006)
Ledang, H., Dubois, H.: Proving model transformations. In: 2010 4th IEEE International Symposium on Theoretical Aspects of Software Engineering (TASE), pp. 35–44. IEEE (2010)
Legeard, B., Peureux, F., Utting, M.: Automated boundary testing from Z and B. In: Eriksson, L.-H., Lindsay, P.A. (eds.) FME 2002. LNCS, vol. 2391, pp. 21–40. Springer, Heidelberg (2002)
Leuschel, M., Butler, M.: ProB: A Model Checker for B. In: Araki, K., Gnesi, S., Mandrioli, D. (eds.) FME 2003. LNCS, vol. 2805, pp. 855–874. Springer, Heidelberg (2003)
Mammar, A., Laleau, R.: From a B formal specification to an executable code: application to the relational database domain. Journal of Information and Software Technology 48(4), 253–279 (2005)
Ossami, D.D.O., Jacquot, J.-P., Souquières, J.: Consistency in UML and B Multi-view Specifications. In: Romijn, J.M.T., Smith, G.P., van de Pol, J. (eds.) IFM 2005. LNCS, vol. 3771, pp. 386–405. Springer, Heidelberg (2005)
Snook, C., Butler, M.: UML-B: Formal modeling and design aided by UML. ACM Transactions on Software Engineering and Methodology (TOSEM) 15(1), 92–122 (2006)
Weisemöller, I., Schürr, A.: Formal definition of MOF 2.0 metamodel components and composition. In: Czarnecki, K., Ober, I., Bruel, J.-M., Uhl, A., Völter, M. (eds.) MODELS 2008. LNCS, vol. 5301, pp. 386–400. Springer, Heidelberg (2008)
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Idani, A., Ledru, Y., Anwar, A. (2013). A Rigorous Reasoning about Model Transformations Using the B Method. In: Nurcan, S., et al. Enterprise, Business-Process and Information Systems Modeling. BPMDS EMMSAD 2013 2013. Lecture Notes in Business Information Processing, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38484-4_30
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DOI: https://doi.org/10.1007/978-3-642-38484-4_30
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