Skip to main content

Multi-agent Non-linear Temporal Logic with Embodied Agent Describing Uncertainty

  • Conference paper
Agent and Multi-Agent Systems: Technologies and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 296))

  • 754 Accesses

Abstract

We study multi-agent non-linear temporal Logic \({\bf T^{Em,Int}_{Kn} }\) with embodied agent. Our approach models interaction of the agents and various aspects for computation of uncertainty in multi-agent environment. We construct algorithms for verification satisfiability and truth statements in the logic \({\bf T^{Em,Int}_{Kn} }\). Found computational algorithms are based at refutability of rules in reduced form at special finite frames of effectively bounded size. We show that our chosen framework is rather flexible and it allows to express various approaches to uncertainty and formalizing meaning of the embodied agent.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arisha, K., Ozcan, F., Ross, R., Subrahmanian, V.S., Eiter, T., Kraus, S.: Impact: A platform for collaborating agents. IEEE Intelligent Systems 14(2), 64–72 (1999)

    Article  Google Scholar 

  2. Avouris, N.M.: Co-operation knowledge-based systems for environmental decision-support. Knowledge-Based Systems 8(1), 39–53 (1995)

    Article  Google Scholar 

  3. Babenyshev, S., Rybakov, V.: Logic of Plausibility for Discovery in Multi-agent Environment Deciding Algorithms. In: Lovrek, I., Howlett, R.J., Jain, L.C. (eds.) KES 2008, Part III. LNCS (LNAI), vol. 5179, pp. 210–217. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  4. Babenyshev, S., Rybakov, V.: Decidability of Hybrid Logic with Local Common Knowledge Based on Linear Temporal Logic LTL. In: Beckmann, A., Dimitracopoulos, C., Löwe, B. (eds.) CiE 2008. LNCS, vol. 5028, pp. 32–41. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  5. Babenyshev, S., Rybakov, V.: Logic of Discovery and Knowledge: Decision Algorithm. In: Lovrek, I., Howlett, R.J., Jain, L.C. (eds.) KES 2008, Part II. LNCS (LNAI), vol. 5178, pp. 711–718. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  6. Babenyshev, S., Rybakov, V.: Describing Evolutions of Multi-Agent Systems. In: Velásquez, J.D., Ríos, S.A., Howlett, R.J., Jain, L.C. (eds.) KES 2009, Part I. LNCS, vol. 5711, pp. 38–45. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  7. Brachman, R.J., Schmolze, J.G.: An overview on the KL-ONE knowledge representation system. Cognitive Science 9(2), 179–226 (1985)

    Article  Google Scholar 

  8. Barwise, J.: Three Views of Common Knowledge. In: Vardi (ed.) Proc. Second Confeuence on Theoretical Aspects of Reasoning about Knowledge, pp. 365–379. Morgan Kaufmann, San Francisco (1988)

    Google Scholar 

  9. Dwork, C., Moses, Y.: Knowledge and Common Knowledge in a Byzantine Environment: Crash Failures. Information and Computation 68(2), 156–183 (1990)

    Article  MathSciNet  Google Scholar 

  10. Fagin, R., Halpern, J., Moses, Y., Vardi, M.: Reasoning About Knowledge, p. 410. The MNT Press, Cambridge (1995)

    MATH  Google Scholar 

  11. Hendler, J.: Agents and the semantic web. IEEE Intelligent Systems 16(2), 30–37 (2001)

    Article  Google Scholar 

  12. Kifer, M., Lozinski, L.: A Logic for Reasoning with Inconsistency. J. Automated Deduction 9, 171–115 (1992)

    Google Scholar 

  13. Kraus, S., Lehmann, D.L.: Knowledge, Belief, and Time. Theoretical Computer Science 98, 143–174 (1988)

    MathSciNet  Google Scholar 

  14. Moses, Y., Shoham, Y.: Belief and Defeasible Knowledge. Artificial Intelligence 64(2), 299–322 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  15. McLean, D., Rybakov, V.: Multi-Agent Temporary Logic TS4 U K n Based at Non-linear Time and Imitating Uncertainty via Agents Interaction. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part II. LNCS, vol. 7895, pp. 375–384. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  16. Nebel, B.: Reasoning and Revision in Hybrid Representation Systems. LNCS, vol. 422. Springer, Heidelberg (1990)

    MATH  Google Scholar 

  17. Neiger, G., Tuttle, M.R.: Common knowledge and consistent simultaneous coordination. Distributed Computing 5(3), 334–352 (1993)

    Google Scholar 

  18. Nguyen, N.T., Jo, G.-S., Howlett, R.J., Jain, L.C. (eds.): KES-AMSTA 2008. LNCS (LNAI), vol. 4953. Springer, Heidelberg (2008)

    Google Scholar 

  19. Nguyen, N.T., Huang, D.S.: Knowledge Management for Autonomous Systems and Computational Intelligence. Journal of Universal Computer Science 15(4) (2009)

    Google Scholar 

  20. Nguyen, N.T., Katarzyniak, R.: Actions and Social Interactions in Multi-agent Systems. Special issue for International Journal of Knowledge and Information Systems 18(2) (2009)

    Google Scholar 

  21. Quantz, J., Schmitz, B.: Knowledge-based disambiguation of machine translation. Minds and Machines 9, 99–97 (1996)

    Google Scholar 

  22. Sakama, C., Son, T.C.: Interacting Answer Sets. In: Dix, J., Fisher, M., Novák, P. (eds.) CLIMA X. LNCS, vol. 6214, pp. 122–140. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  23. Rybakov, V.V.: A Criterion for Admissibility of Rules in the Modal System S4 and the Intuitionistic Logic. Algebra and Logic 23(5), 369–384 (1984) (Engl. Translation)

    Google Scholar 

  24. Rybakov, V.V.: Admissible Logical Inference Rules. Studies in Logic and the Foundations of Mathematics, vol. 136. Elsevier Sci. Publ., North-Holland (1997) ISBN: 0444895051

    Google Scholar 

  25. Rybakov, V.V.: Logical Consecutions in Discrete Linear Temporal Logic. Journal of Symbolic Logic (ASL, USA) 70(4), 1137–1149 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  26. Rybakov, V.: Until-Since Temporal Logic Based on Parallel Time with Common Past. Deciding Algorithms. In: Artemov, S., Nerode, A. (eds.) LFCS 2007. LNCS, vol. 4514, pp. 486–497. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  27. Rybakov, V.: Logic of knowledge and discovery via interacting agents - Decision algorithm for true and satisfiable statements. Inf. Sci (Elsevier, North-Hollnd – New York) 179(11), 1608–1614 (2009)

    MATH  MathSciNet  Google Scholar 

  28. Rybakov, V.: Linear Temporal Logic LTK K extended by Multi-Agent Logic K n with Interacting Agents. J. Log. Comput. 19(6), 989–1017 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  29. Rybakov, V.V.: Representation of Knowledge and Uncertainty in Temporal Logic LTL with Since on Frames Z of Integer Numbers. In: König, A., Dengel, A., Hinkelmann, K., Kise, K., Howlett, R.J., Jain, L.C. (eds.) KES 2011, Part I. LNCS, vol. 6881, pp. 306–315. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  30. Rybakov, V.V.: Agents’ Logics with Common Knowledge and Uncertainty: Unification Problem, Algorithm for Construction Solutions. In: König, A., Dengel, A., Hinkelmann, K., Kise, K., Howlett, R.J., Jain, L.C. (eds.) KES 2011, Part I. LNCS, vol. 6881, pp. 171–179. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  31. Rybakov, V.: Multi-Agent Logic based on Temporary Logic \(TS4_{K_n}\) serving Web Search. In: Grana, M., et al. (eds.) Advances in Knowledge-Based and Intelligent Information and Engineering Systems, KES 2012. Frontiers in Artificial Intelligence and Applications, vol. 243, pp. 108–117 (2012)

    Google Scholar 

  32. Rychtyckyi, N.: DLMS: An evaluation of KL-ONE in the automobile industry. In: Aiello, L.C., Doyle, J., Shapiro, S. (eds.) Proc. of the 5-th Int. Conf. on Principles of Knowledge Representation and Reasoning (KR 1996), pp. 588–596. Morgan Kaufmann, San Francisco, Cambridge, Mass (1996)

    Google Scholar 

  33. Wooldridge, M.: Reasoning about rational agents. MIT Press (2000)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vladimir Rybakov .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Rybakov, V. (2014). Multi-agent Non-linear Temporal Logic with Embodied Agent Describing Uncertainty. In: Jezic, G., Kusek, M., Lovrek, I., J. Howlett, R., Jain, L. (eds) Agent and Multi-Agent Systems: Technologies and Applications. Advances in Intelligent Systems and Computing, vol 296. Springer, Cham. https://doi.org/10.1007/978-3-319-07650-8_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-07650-8_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-07649-2

  • Online ISBN: 978-3-319-07650-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics