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Fault Tolerance in Belief Formation Networks

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7519))

Abstract

The paper investigates the formation of beliefs in multi-agent systems with a fixed topology of the communication channels. Specifically, it considers the relation “beliefs formed by agents in set A are not influenced by faulty or malicious behavior of agents in set B”. This relation has a non-trivial Shield Wall property that has no equivalent in other settings in which information flow over a fixed network of communication channels has been previously studied.

A new logical system based on the Shield Wall property is proposed and is proven to be sound and complete with respect to the fault tolerance semantics.

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References

  1. Shafer, G., Shenoy, P.P.: Probability propagation. Ann. Math. Artif. Intell. 2, 327–351 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  2. Cano, J.E., Delgado, M., Moral, S.: An axiomatic framework for propagating uncertainty in directed acyclic networks. Int. J. Approx. Reasoning 8(4), 253–280 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  3. More, S.M., Naumov, P.: The Functional Dependence Relation on Hypergraphs of Secrets. In: Leite, J., Torroni, P., Ågotnes, T., Boella, G., van der Torre, L. (eds.) CLIMA XII 2011. LNCS, vol. 6814, pp. 29–40. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  4. More, S.M., Naumov, P.: Logic of secrets in collaboration networks. Ann. Pure Appl. Logic 162(12), 959–969 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  5. Donders, M., Miner More, S., Naumov, P.: Information Flow on Directed Acyclic Graphs. In: Beklemishev, L.D., de Queiroz, R. (eds.) WoLLIC 2011. LNCS, vol. 6642, pp. 95–109. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  6. Miner More, S., Naumov, P.: Hypergraphs of Multiparty Secrets. In: Dix, J., Leite, J., Governatori, G., Jamroga, W. (eds.) CLIMA XI. LNCS (LNAI), vol. 6245, pp. 15–32. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  7. Sutherland, D.: A model of information. In: Proceedings of Ninth National Computer Security Conference, pp. 175–183 (1986)

    Google Scholar 

  8. Marcus, L.: Preface. Electr. Notes Theor. Comput. Sci. 258(2), 1–2 (2009)

    Article  MATH  Google Scholar 

  9. Bonakdarpour, B., Mailbaum, T. (eds.): Proceedings of the 2nd International Workshop on Logical Aspects of Fault-Tolerance, LAFT (2011)

    Google Scholar 

  10. Ezekiel, J., Lomuscio, A.: Combining fault injection and model checking to verify fault tolerance in multi-agent systems. In: Sierra, C., Castelfranchi, C., Decker, K.S., Sichman, J.S. (eds.) AAMAS (1), IFAAMAS, pp. 113–120 (2009)

    Google Scholar 

  11. Castro, P.F., Maibaum, T.S.E.: Reasoning about System-Degradation and Fault-Recovery with Deontic Logic. In: Butler, M., Jones, C., Romanovsky, A., Troubitsyna, E. (eds.) Fault Tolerance. LNCS, vol. 5454, pp. 25–43. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

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Holbrook, S., Naumov, P. (2012). Fault Tolerance in Belief Formation Networks. In: del Cerro, L.F., Herzig, A., Mengin, J. (eds) Logics in Artificial Intelligence. JELIA 2012. Lecture Notes in Computer Science(), vol 7519. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33353-8_21

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  • DOI: https://doi.org/10.1007/978-3-642-33353-8_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33352-1

  • Online ISBN: 978-3-642-33353-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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