Abstract
Refinement in Event-B supports the development of systems via proof based step-wise refinement of events. This refinement approach ensures safety properties are preserved, but additional reasoning is required in order to establish liveness and fairness properties.In this paper we present results which allow a closer integration of two formal methods, Event-B and linear temporal logic. In particular we show how a class of temporal logic properties can carry through a refinement chain of machines. Refinement steps can include introduction of new events, event renaming and event splitting. We also identify a general liveness property that holds for the events of the initial system of a refinement chain. The approach will aid developers in enabling them to verify linear temporal logic properties at early stages of a development, knowing they will be preserved at later stages. We illustrate the results via a simple case study.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Abrial, J.-R.: Modeling in Event-B: System and Software Engineering. Cambridge University Press (2010)
Abrial, J.-R., Butler, M.J., Hallerstede, S., Hoang, T.S., Mehta, F., Voisin, L.: Rodin: an open toolset for modelling and reasoning in Event-B. STTT 12(6), 447–466 (2010)
Abrial, J.-R., Mussat, L.: Introducing dynamic constraints in B. In: Bert, D. (ed.) B 1998. LNCS, vol. 1393, pp. 83–128. Springer, Heidelberg (1998)
Barradas, H., Bert, D.: Specification and proof of liveness properties under fairness assumptions in B event systems. In: Butler, M., Petre, L., Sere, K. (eds.) IFM 2002. LNCS, vol. 2335, pp. 360–379. Springer, Heidelberg (2002)
Feige, U., Arenas, A.E., Aziz, B., Massonet, P., Ponsard, C.: Towards modelling obligations in event-B. In: Börger, E., Butler, M., Bowen, J.P., Boca, P. (eds.) ABZ 2008. LNCS, vol. 5238, pp. 181–194. Springer, Heidelberg (2008)
Butler, M.J.: A CSP approach to Action Systems. DPhil thesis, Oxford U. (1992)
Derrick, J., Smith, G.: Temporal-logic property preservation under Z refinement. Formal Asp. Comput. 24(3), 393–416 (2012)
Groslambert, J.: Verification of LTL on B Event Systems. In: Julliand, J., Kouchnarenko, O. (eds.) B 2007. LNCS, vol. 4355, pp. 109–124. Springer, Heidelberg (2006)
Hallerstede, S., Leuschel, M., Plagge, D.: Validation of formal models by refinement animation. Science of Computer Programming 78(3), 272–292 (2013)
Hoang, T.S., Abrial, J.-R.: Reasoning about liveness properties in Event-B. In: Qin, S., Qiu, Z. (eds.) ICFEM 2011. LNCS, vol. 6991, pp. 456–471. Springer, Heidelberg (2011)
Leuschel, M., Butler, M.J.: ProB: an automated analysis toolset for the B method. STTT 10(2), 185–203 (2008)
Leuschel, M., Falampin, J., Fritz, F., Plagge, D.: Automated property verification for large scale B models. In: Cavalcanti, A., Dams, D.R. (eds.) FM 2009. LNCS, vol. 5850, pp. 708–723. Springer, Heidelberg (2009)
Morgan, C.: Of wp and CSP. Beauty is our business: a birthday salute to E. W. Dijkstra, pp. 319–326 (1990)
Plagge, D., Leuschel, M.: Seven at one stroke: LTL model checking for high-level specifications in B, Z, CSP, and more. STTT 12(1), 9–21 (2010)
Schneider, S., Treharne, H., Wehrheim, H.: The behavioural semantics of Event-B refinement. Formal Asp. Comput. 26(2), 251–280 (2014)
Schneider, S., Treharne, H., Wehrheim, H., Williams, D.: Managing LTL properties in Event-B refinement. arXiv:1406:6622 (June 2014)
Williams, D.M., de Ruiter, J., Fokkink, W.: Model checking under fairness in ProB and its application to fair exchange protocols. In: Roychoudhury, A., D’Souza, M. (eds.) ICTAC 2012. LNCS, vol. 7521, pp. 168–182. Springer, Heidelberg (2012)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Schneider, S., Treharne, H., Wehrheim, H., Williams, D.M. (2014). Managing LTL Properties in Event-B Refinement. In: Albert, E., Sekerinski, E. (eds) Integrated Formal Methods. IFM 2014. Lecture Notes in Computer Science(), vol 8739. Springer, Cham. https://doi.org/10.1007/978-3-319-10181-1_14
Download citation
DOI: https://doi.org/10.1007/978-3-319-10181-1_14
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10180-4
Online ISBN: 978-3-319-10181-1
eBook Packages: Computer ScienceComputer Science (R0)