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Revisiting Timed Specification Theories: A Linear-Time Perspective

  • Chris Chilton
  • Marta Kwiatkowska
  • Xu Wang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7595)

Abstract

We consider the setting of component-based design for real-time systems with critical timing constraints. Based on our earlier work, we propose a compositional specification theory for timed automata with I/O distinction, which supports substitutive refinement. Our theory provides the operations of parallel composition for composing components at run-time, logical conjunction/disjunction for independent development, and quotient for incremental synthesis. The key novelty of our timed theory lies in a weakest congruence preserving safety as well as bounded liveness properties. We show that the congruence can be characterised by two linear-time semantics, timed-traces and timed-strategies, the latter of which is derived from a game-based interpretation of timed interaction.

Keywords

Transition System Parallel Composition Game State Realisable Trace Asynchronous Circuit 
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.

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References

  1. 1.
    Chen, T., Chilton, C., Jonsson, B., Kwiatkowska, M.: A Compositional Specification Theory for Component Behaviours. In: Seidl, H. (ed.) ESOP 2012. LNCS, vol. 7211, pp. 148–168. Springer, Heidelberg (2012)CrossRefGoogle Scholar
  2. 2.
    de Alfaro, L., Henzinger, T.A., Stoelinga, M.: Timed Interfaces. In: Sangiovanni-Vincentelli, A.L., Sifakis, J. (eds.) EMSOFT 2002. LNCS, vol. 2491, pp. 108–122. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  3. 3.
    David, A., Larsen, K.G., Legay, A., Nyman, U., Wasowski, A.: Timed I/O automata: a complete specification theory for real-time systems. In: HSCC 2010, pp. 91–100. ACM (2010)Google Scholar
  4. 4.
    de Alfaro, L., Henzinger, T.A.: Interface automata. SIGSOFT Softw. Eng. Notes 26, 109–120 (2001)CrossRefGoogle Scholar
  5. 5.
    Kaynar, D.K., Lynch, N.A., Segala, R., Vaandrager, F.W.: Timed I/O Automata: A mathematical framework for modeling and analyzing real-time systems. In: RTSS (2003)Google Scholar
  6. 6.
    Lim, W.: Design methodology for stoppable clock systems. Computers and Digital Techniques, IEE Proceedings E 133, 65–72 (1986)CrossRefGoogle Scholar
  7. 7.
    Moore, S.W., Taylor, G.S., Cunningham, P.A., Mullins, R.D., Robinson, P.: Using stoppable clocks to safely interface asynchronous and synchronous subsystems. In: AINT (Asynchronous INTerfaces) Workshop, Delft, Netherlands (2000)Google Scholar
  8. 8.
    Wang, X., Kwiatkowska, M.Z.: On process-algebraic verification of asynchronous circuits. Fundam. Inform. 80, 283–310 (2007)MathSciNetzbMATHGoogle Scholar
  9. 9.
    Dill, D.L.: Trace theory for automatic hierarchical verification of speed-independent circuits. ACM distinguished dissertations. MIT Press (1989)Google Scholar
  10. 10.
    David, A., Larsen, K.G., Legay, A., Nyman, U., Wąsowski, A.: ECDAR: An Environment for Compositional Design and Analysis of Real Time Systems. In: Bouajjani, A., Chin, W.-N. (eds.) ATVA 2010. LNCS, vol. 6252, pp. 365–370. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  11. 11.
    Bertrand, N., Legay, A., Pinchinat, S., Raclet, J.-B.: A Compositional Approach on Modal Specifications for Timed Systems. In: Breitman, K., Cavalcanti, A. (eds.) ICFEM 2009. LNCS, vol. 5885, pp. 679–697. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  12. 12.
    Cerans, K., Godskesen, J.C., Larsen, K.G.: Timed Modal Specification - Theory and Tools. In: Courcoubetis, C. (ed.) CAV 1993. LNCS, vol. 697, pp. 253–267. Springer, Heidelberg (1993)CrossRefGoogle Scholar
  13. 13.
    Berendsen, J., Vaandrager, F.W.: Compositional Abstraction in Real-Time Model Checking. In: Cassez, F., Jard, C. (eds.) FORMATS 2008. LNCS, vol. 5215, pp. 233–249. Springer, Heidelberg (2008)CrossRefGoogle Scholar
  14. 14.
    Verhoeff, T.: A Theory of Delay-Insensitive Systems. PhD thesis, Dept. of Math. and C.S., Eindhoven Univ. of Technology (1994)Google Scholar
  15. 15.
    Zhou, B., Yoneda, T., Myers, C.: Framework of timed trace theoretic verification revisited. IEICE Trans. on Information and Systems 85, 1595–1604 (2002)Google Scholar
  16. 16.
    Chilton, C., Kwiatkowska, M., Wang, X.: Revisiting timed specification theories: A linear-time perspective. Technical Report RR-12-04, Department of Computer Science, University of Oxford (2012)Google Scholar
  17. 17.
    Wang, X.: Maximal Confluent Processes. In: Haddad, S., Pomello, L. (eds.) PETRI NETS 2012. LNCS, vol. 7347, pp. 188–207. Springer, Heidelberg (2012)CrossRefGoogle Scholar
  18. 18.
    Thiele, L., Wandeler, E., Stoimenov, N.: Real-time interfaces for composing real-time systems. In: EMSOFT (2006)Google Scholar
  19. 19.
    Lee, I., Leung, J., Song, S.: Handbook of Real-Time and Embedded Systems. Chapman (2007)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Chris Chilton
    • 1
  • Marta Kwiatkowska
    • 1
  • Xu Wang
    • 1
  1. 1.Department of Computer ScienceUniversity of OxfordUK

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