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Interesting Properties of the Real-Time Conformance Relation tioco

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4281))

Abstract

We are interested in black-box conformance testing of real-time systems. Our framework is based on the model of timed automata with inputs and outputs (TAIO). We use a timed conformance relation called tioco which is the extension of the untimed relation ioco. We show that considering only lazy-input TAIO is enough for describing all possible non-blocking specifications. We compare between tioco and the trace-inclusion relation. We prove that tioco is undecidable and that it does not distinguish specifications with the same set of observable traces. We prove tioco to be transitive and stable w.r.t both compositionality and action hiding for input-complete specifications. We compare between tioco and two other timed conformance relations, rtioco and \( \sqsubseteq_{\mathsf{\it tioco}}\).

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References

  1. Alur, R., Dill, D.: A theory of timed automata. Theoretical Computer Science 126, 183–235 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bornot, S., Sifakis, J., Tripakis, S.: Modeling urgency in timed systems. In: de Roever, W.-P., Langmaack, H., Pnueli, A. (eds.) COMPOS 1997. LNCS, vol. 1536, p. 103. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  3. Briones, L.B., Brinksma, E.: A test generation framework for quiescent real-time systems. In: Grabowski, J., Nielsen, B. (eds.) FATES 2004. LNCS, vol. 3395, pp. 64–78. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  4. Hessel, A., Larsen, K.G., Nielsen, B., Pettersson, P., Skou, A.: Time-optimal real-time test case generation using uppaal. In: Petrenko, A., Ulrich, A. (eds.) FATES 2003. LNCS, vol. 2931, pp. 114–130. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Krichen, M., Tripakis, S.: Black-box conformance testing for real-time systems. In: Graf, S., Mounier, L. (eds.) SPIN 2004. LNCS, vol. 2989, pp. 109–126. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  6. Sifakis, J., Yovine, S.: Compositional specification of timed systems. In: Puech, C., Reischuk, R. (eds.) STACS 1996. LNCS, vol. 1046. Springer, Heidelberg (1996)

    Google Scholar 

  7. Tretmans, J.: Testing concurrent systems: A formal approach. In: Baeten, J.C.M., Mauw, S. (eds.) CONCUR 1999. LNCS, vol. 1664, p. 46. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  8. Tripakis, S.: Folk theorems on the determinization and minimization of timed automata. In: Larsen, K.G., Niebert, P. (eds.) FORMATS 2003. LNCS, vol. 2791. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Krichen, M., Tripakis, S. (2006). Interesting Properties of the Real-Time Conformance Relation tioco . In: Barkaoui, K., Cavalcanti, A., Cerone, A. (eds) Theoretical Aspects of Computing - ICTAC 2006. ICTAC 2006. Lecture Notes in Computer Science, vol 4281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11921240_22

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  • DOI: https://doi.org/10.1007/11921240_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-48815-6

  • Online ISBN: 978-3-540-48816-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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