Advertisement

Safraless Synthesis for Epistemic Temporal Specifications

  • Rodica Bozianu
  • Cătălin Dima
  • Emmanuel Filiot
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8559)

Abstract

In this paper we address the synthesis problem for specifications given in linear temporal single-agent epistemic logic, KLTL (or KL 1), over single-agent systems having imperfect information of the environment state. [17] have shown that this problem is 2Exptime complete. However, their procedure relies on complex automata constructions that are notoriously resistant to efficient implementations as they use Safra-like determinization.

We propose a “Safraless” synthesis procedure for a large fragment of KLTL. The construction transforms first the synthesis problem into the problem of checking emptiness for universal co-Büchi tree automata using an information-set construction. Then we build a safety game that can be solved using an antichain-based symbolic technique exploiting the structure of the underlying automata. The technique is implemented and applied to a couple of case studies.

Keywords

Temporal Logic Environment Model Transition Relation Linear Temporal Logic Imperfect Information 
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

  1. 1.
  2. 2.
    Berwanger, D., Doyen, L.: On the power of imperfect informatio. In: Hariharan, R., Mukund, M., Vinay, V., R. Hariharan, M.M.a.V.V. (eds.) FSTTCS. LIPIcs, vol. 2, pp. 73–82. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik (2008)Google Scholar
  3. 3.
    Bloem, R., Cimatti, A., Greimel, K., Hofferek, G., Könighofer, R., Roveri, M., Schuppan, V., Seeber, R.: Ratsy a new requirements analysis tool with synthesis. In: Touili, T., Cook, B., Jackson, P. (eds.) CAV 2010. LNCS, vol. 6174, pp. 425–429. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  4. 4.
    Bloem, R., Jobstmann, B., Piterman, N., Pnueli, A., Sa’ar, Y.: Synthesis of reactive (1) designs. J. Comput. Syst. Sci. 78(3), 911–938 (2012)CrossRefzbMATHMathSciNetGoogle Scholar
  5. 5.
    Bohy, A., Bruyère, V., Filiot, E., Jin, N., Raskin, J.-F.: Acacia+, a tool for LTL synthesis. In: Madhusudan, P., Seshia, S.A. (eds.) CAV 2012. LNCS, vol. 7358, pp. 652–657. Springer, Heidelberg (2012)CrossRefGoogle Scholar
  6. 6.
    Bozianu, R., Dima, C., Filiot, E.: Safraless synthesis for epistemic temporal specifications (2014), http://arxiv.org/abs/1405.0424
  7. 7.
    Chatterjee, K., Doyen, L., Filiot, E., Raskin, J.-F.: Doomsday equilibria for omega-regular games. In: McMillan, K.L., Rival, X. (eds.) VMCAI 2014. LNCS, vol. 8318, pp. 78–97. Springer, Heidelberg (2014)CrossRefGoogle Scholar
  8. 8.
    Chatterjee, K., Doyen, L., Henzinger, T.A.: A survey of partial-observation stochastic parity games. Formal Methods in System Design 43(2), 268–284 (2013)CrossRefGoogle Scholar
  9. 9.
    Filiot, E., Jin, N., Raskin, J.-F.: Antichains and compositional algorithms for LTL synthesis. Formal Methods in System Design 39(3), 261–296 (2011)CrossRefzbMATHGoogle Scholar
  10. 10.
    Di Giampaolo, B., Geeraerts, G., Raskin, J.-F., Sznajder, N.: Safraless procedures for timed specifications. In: Chatterjee, K., Henzinger, T.A. (eds.) FORMATS 2010. LNCS, vol. 6246, pp. 2–22. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  11. 11.
    Halpern, J.Y., Moses, Y.: Knowledge and common knowledge in a distributed environment. In: Kameda, T., Misra, J., Peters, J.G., Santoro, N. (eds.) PODC, pp. 50–61. ACM (1984)Google Scholar
  12. 12.
    Jobstmann, B., Bloem, R.: Optimizations for LTL synthesis. In: Formal Methods in Computer-Aided Design (FMCAD), pp. 117–124. IEEE Computer Society (2006)Google Scholar
  13. 13.
    Kupferman, O., Vardi, M.Y.: Safraless decision procedures. In: FOCS, pp. 531–542. IEEE Computer Society (2005)Google Scholar
  14. 14.
    Pnueli, A., Rosner, R.: On the synthesis of a reactive module. In: POPL, pp. 179–190. ACM Press (1989)Google Scholar
  15. 15.
    Raskin, J.-F., Chatterjee, K., Doyen, L., Henzinger, T.A.: Algorithms for omega-regular games with imperfect information. Logical Methods in Computer Science 3(3) (2007)Google Scholar
  16. 16.
    Schewe, S., Finkbeiner, B.: Bounded synthesis. In: Namjoshi, K.S., Yoneda, T., Higashino, T., Okamura, Y. (eds.) ATVA 2007. LNCS, vol. 4762, pp. 474–488. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  17. 17.
    van der Meyden, R., Vardi, M.Y.: Synthesis from knowledge-based specifications (Extended abstract). In: Sangiorgi, D., de Simone, R. (eds.) CONCUR 1998. LNCS, vol. 1466, pp. 34–49. Springer, Heidelberg (1998)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Rodica Bozianu
    • 1
  • Cătălin Dima
    • 1
  • Emmanuel Filiot
    • 2
  1. 1.Université Paris Est, LACL (EA 4219), UPECCréteil CedexFrance
  2. 2.Université Libre de BruxellesBruxellesBelgium

Personalised recommendations