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Combined Logics of Knowledge, Time, and Actions for Reasoning about Multi-agent Systems

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Knowledge Processing and Data Analysis (KPP 2007, KONT 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6581))

Abstract

We present a summary of our studies (in period 2002-2007) of the model checking problem for finitely-generated synchronous/asynchronous environments with/without perfect recall for combinations of propositional logics of (common) knowledge, (branching) time, and actions.

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References

  1. Abdulla, P.A., Ĉerâns, K., Jonsson, B., Tsay, Y.-K.: Algorithmic analysis of programs with well quasi-ordered domains. Information and Computation 160(1-2), 109–127 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  2. Arnold, A., Niwinski, D.: Rudiments of μ-calculus. North Holland, Amsterdam (2001)

    MATH  Google Scholar 

  3. Bull, R., Segerberg, K.: Basic Modal Logic. In: Gabbay, D., Cuenthner, F. (eds.) Handbook of Philosophical Logic, vol. 3. Kluwer Academic Publishers, Dordrecht (2001)

    Google Scholar 

  4. Clarke, E., Grumberg, O., Peled, D.: Model Checking. MIT Press, Cambridge (1999)

    Google Scholar 

  5. Dixon, C., Fernandez Gago, M.-C., Fisher, M., van der Hoek, W.: Using Temporal Logics of Knowledge in the Formal Verification of Security Protocols. In: Proceedings of TIME 2004, Tatihou, Normandie, France, July 1-3. IEEE, Los Alamitos (2004)

    Google Scholar 

  6. Dixon, C., Nalon, C., Fisher, M.: Tableau for Logics of Time and Knowledge with Interactions Relating to Synchrony. Journal of Applied Non-Classical Logics 14(4), 397–445 (2004)

    Article  MATH  Google Scholar 

  7. Emerson, E.A.: Temporal and Modal Logic. In: van Leeuwen, J., Meyer, A.R., Nivat, M., Paterson, M., Perrin, D. (eds.) Handbook of Theoretical Computer Science (B). Elsevier, The MIT Press (1990)

    Google Scholar 

  8. Fagin, R., Halpern, J.Y., Moses, Y., Vardi, M.Y.: Reasoning about Knowledge. MIT Press, Cambridge (1995)

    MATH  Google Scholar 

  9. Finkel, A., Schnoebelen, P.: Well-structured transition systems everywhere! Theor. Comp. Sci. 256(1-2), 63–92 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  10. Gammie, P., van der Meyden, R.: MCK: Model checking the logic of knowledge. In: Alur, R., Peled, D.A. (eds.) CAV 2004. LNCS, vol. 3114, pp. 479–483. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  11. Garanina, N.O., Kalinina, N.A., Shilov, N.V.: Model checking knowledge, actions and fixpoints. In: Proc. of Concurrency, Specification and Programming Workshop CS&P 2004, Germany, Humboldt Universitat, Berlin, Informatik-Bericht, vol. 2(170), pp. 351–357 (2004)

    Google Scholar 

  12. Garanina, N.O., Shilov, N.V.: Model Checking Knowledge of acting Agents with log-files. In: Meetings of Minds: Proc. of Int. Workshop Logic, Rationality and Interaction, China (2007)

    Google Scholar 

  13. Halpern, J.Y., Vardi, M.Y.: The complexity of Reasoning About Knowledge and Time. In: Proc. of Symp. Theor. of Computing (STOC), pp. 304–315 (1986)

    Google Scholar 

  14. Halpern, J.Y., van der Meyden, R., Vardi, M.Y.: Complete Axiomatizations for Reasoning about Knowledge and Time. SIAM Journal on Computing 33(3), 674–703 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  15. Harel, D., Kozen, D., Tiuryn, J.: Dynamic Logic. MIT Press, Cambridge (2000)

    MATH  Google Scholar 

  16. Hintikka, J.: Knowledge and Belief. Cornell University Press, Ithica (1962)

    Google Scholar 

  17. van der Hoek, W., Wooldridge, M.J.: Model Checking Knowledge and Time. In: Bošnački, D., Leue, S. (eds.) SPIN 2002. LNCS, vol. 2318, pp. 95–111. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  18. Kacprzak, M., Lomuscio, A., Penczek, W.: Unbounded Model Checking for Knowledge and Time. In: Proceedings of the CS&P 2003 Workshop, Warsaw University, vol. 1, pp. 251–264 (2003)

    Google Scholar 

  19. Kacprzak, M., Penczek, W.: Model Checking for Alternating-Time mu-Calculus via Translation to SAT. In: Proc. of Concurrency, Specification and Programming Workshop CS&P 2004, Germany, Humboldt Universitat, Berlin, Informatik-Bericht, vol. 2(170) (2004)

    Google Scholar 

  20. Kozen, D.: Results on the Propositional Mu-Calculus. Theoretical Computer Science 27(3), 333–354 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  21. Kouzmin, E.V., Shilov, N.V., Sokolov, V.A.: Model Checking μ-Calculau in Well-Structured Transition Systems. In: Proceedings of 11th International Symposium on Temporal Representation and Reasoning (TIME 2004), France, pp. 152–155. IEEE Press, Los Alamitos (2004)

    Google Scholar 

  22. Kozen, D., Tiuryn, J.: Logics of Programs. In: Handbook of Theoretical Computer Science, vol. B, pp. 789–840. Elsevier, MIT Press (1990)

    Google Scholar 

  23. Lomuscio, A., Penczek, W.: Verifying Epistemic Properties of Multi-agent Systems via Bounded Model Checking. Fundamenta Informaticae 55(2), 167–185 (2003)

    MathSciNet  MATH  Google Scholar 

  24. van der Meyden, R.: Common Knowledge and Update in Finite Environments. Information and Computation 140(2), 115–157 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  25. van der Meyden, R., Shilov, N.V.: Model checking knowledge and time in systems with perfect recall. In: Pandu Rangan, C., Raman, V., Sarukkai, S. (eds.) FST TCS 1999. LNCS, vol. 1738, pp. 432–445. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  26. van der Meyden, R., Wong, K.: Complete Axiomatizations for Reasoning about Knowledge and Branching Time. Studia Logica 75(1), 93–123 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  27. Rescher, N.: Epistemic Logic. Survey of the Logic of Knowledge. University of Pittsburgh Press, Pittsburgh (2005)

    Google Scholar 

  28. Shilov, N.V., Yi, K.: How to find a coin: propositional program logics made easy. In: Current Trends in Theoretical Computer Science, vol. 2, pp. 181–213. World Scientific, Singapore (2004)

    Chapter  Google Scholar 

  29. Shilov, N.V., Garanina, N.O.: Combining Knowledge and Fixpoints. Preprint n. 98 of A.P. Ershov Institute of Informatics Systems, Novosibirsk (2002)

    Google Scholar 

  30. Shilov, N.V., Garanina, N.O.: Model Checking Knowledge And Fixpoints. In: Proc. 4th Int. Workshop on Fixed Points on Computer Science, Copenhagen, Denmark, pp. 25–39 (2002)

    Google Scholar 

  31. Shilov, N.V., Garanina, N.O., Choe, K.-M.: 2.7. Update and Abstraction in Model Checking of Knowledge and Branching Time. Fundameta Informaticae 72(1-3), 347–361 (2006)

    MathSciNet  MATH  Google Scholar 

  32. Shilov, N.V., Garanina, N.O.: Well-Structured Model Checking of Multiagent Systems. In: Virbitskaite, I., Voronkov, A. (eds.) PSI 2006. LNCS, vol. 4378, pp. 363–376. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  33. Wooldridge, M.: Practical reasoning with procedural knowledge: A logic of BDI agents with know-how. In: Gabbay, D.M., Ohlbach, H.J. (eds.) FAPR 1996. LNCS, vol. 1085, pp. 663–678. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  34. Wooldridge, M.: An Introduction to Multiagent Systems. John Wiley & Sons Ltd., Chichester (2002)

    Google Scholar 

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Authors and Affiliations

  1. Institute of Informatics Systems, Russian Academy of Sciences, 6, Lavrentiev ave., 630090, Novosibirsk, Russia

    Nikolay V. Shilov & Natalia O. Garanina

Authors
  1. Nikolay V. Shilov
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  2. Natalia O. Garanina
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Editor information

Editors and Affiliations

  1. Hochschule Darmstadt, Fachbereich Mathematik und Naturwissenschaften, Holzhofallee 38, 64295, Darmstadt, Germany

    Karl Erich Wolff

  2. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Koptyug prosp. 4, 630090, Novosibirsk, Russia

    Dmitry E. Palchunov

  3. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Koptyug prosp. 4, 630090, Novosibirsk, Russia

    Nikolay G. Zagoruiko

  4. Fachbereich Informatik, Hochschule Darmstadt, Schoefferstraße 8b, 64295, Darmstadt, Germany

    Urs Andelfinger

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Shilov, N.V., Garanina, N.O. (2011). Combined Logics of Knowledge, Time, and Actions for Reasoning about Multi-agent Systems. In: Wolff, K.E., Palchunov, D.E., Zagoruiko, N.G., Andelfinger, U. (eds) Knowledge Processing and Data Analysis. KPP KONT 2007 2007. Lecture Notes in Computer Science(), vol 6581. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22140-8_4

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  • DOI: https://doi.org/10.1007/978-3-642-22140-8_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22139-2

  • Online ISBN: 978-3-642-22140-8

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