Advertisement

Combinations of Normal and Non-normal Modal Logics for Modeling Collective Trust in Normative MAS

  • Clara Smith
  • Agustín Ambrossio
  • Leandro Mendoza
  • Antonino Rotolo
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7639)

Abstract

We provide technical details for combining normal and a non-normal logics for the notion of collective trust. Such combinations lead to different levels of expressiveness of the system. We give a possible structure for a combined model checker for one of the logic resulting from such combinations.

Keywords

Model Checker Modal Logic Canonical Model Propositional Atom Kripke Model 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Ambrossio, A., Mendoza, L.: Completitud e implementación de modalidades en MAS. Thesis report, Facultad de Informatica UNLP (2011)Google Scholar
  2. 2.
    Blackburn, P., de Rijke, M., Venema, Y.: Modal Logic. Cambridge Tracts in Theoretical Computer Science, vol. 53. Cambridge University Press, Cambridge (2001)zbMATHGoogle Scholar
  3. 3.
    Dunin-Keplicz, B., Verbrugge, R.: Collective intentions. Fundam. Inform., 271–295 (2002)Google Scholar
  4. 4.
    Dziubinski, M., Verbrugge, R., Dunin-Keplicz, B.: Complexity issues in multiagent logics. Fundam. Inform. 75(1-4), 239–262 (2007)MathSciNetzbMATHGoogle Scholar
  5. 5.
    Elgesem, D.: The modal logic of agency. Nordic Journal of Philosophical Logic 2, 1–46 (1997)MathSciNetzbMATHGoogle Scholar
  6. 6.
    Fajardo, R., Finger, M.: Non-normal modalisation. In: Advances in Modal Logic 2002, pp. 83–96 (2002)Google Scholar
  7. 7.
    Fajardo, R., Finger, M.: How not to combine modal logics. In: IICAI, pp. 1629–1647 (2005)Google Scholar
  8. 8.
    Falcone, R., Castelfranchi, C.: Social Trust: A Cognitive Approach. In: Trust and Deception in Virtual Societies, pp. 55–90. Kluwer Academic Publishers (2001)Google Scholar
  9. 9.
    Finger, M., Gabbay, D.: Combining temporal logic systems. Notre Dame Journal of Formal Logic 37 (1996)Google Scholar
  10. 10.
    Franceschet, M., Montanari, A., De Rijke, M.: Model checking for combined logics with an application to mobile systems. Automated Software Eng. 11, 289–321 (2004)CrossRefGoogle Scholar
  11. 11.
    Governatori, G., Rotolo, A.: On the Axiomatization of Elgesem’s Logic of Agency and Ability. Journal of Philosophical Logic 34(4), 403–431 (2005)MathSciNetzbMATHCrossRefGoogle Scholar
  12. 12.
    Hansson, B., Gärdenfors, P.: A guide to intensional semantics. Modality, Morality and Other Problems of Sense and Nonsense. Essays Dedicated to Sören Halldén (1973)Google Scholar
  13. 13.
    Herrestad, H., Krogh, C.: Deontic logic relativised to bearers and counterparties. In: Bing, J., Torvund, O. (eds.) Anniversary Antology in Computers and Law, TANO (1995)Google Scholar
  14. 14.
    Jones, A., Sergot, M.: A logical framework. In: Open Agent Societies: Normative Specifications in Multi-agent Systems (2007)Google Scholar
  15. 15.
    Memmo, D., Sartor, G., di Cardano, G.Q.: Trust, Reliance, Good Faith, and the Law. In: Nixon, P., Terzis, S. (eds.) iTrust 2003. LNCS, vol. 2692, pp. 150–164. Springer, Heidelberg (2003)CrossRefGoogle Scholar
  16. 16.
    Rasga, J., Sernadas, A., Sernadas, C.: Fibring as biporting subsumes asymmetric combinations. Preprint, SQIG - IT and IST - TU Lisbon, 1049-001 Lisboa, Portugal (2010)Google Scholar
  17. 17.
    Rasga, J., Sernadas, A., Sernadas, C.: Importing logics. Studia Logica (2011)Google Scholar
  18. 18.
    Rotolo, A., Sartor, G., Smith, C.: Good faith in contract negotiation and performance. IJBPIM Journal of Business Processes and Management, Special Issue on Contract Architectures and Languages 4, 154–173 (2009)Google Scholar
  19. 19.
    Smith, C., Rotolo, A.: Collective trust and normative agents. Logic Journal of IGPL 18(1), 195–213 (2010)MathSciNetzbMATHCrossRefGoogle Scholar
  20. 20.
    Smith, C., Rotolo, A., Sartor, G.: Representations of time within normative MAS. Frontiers in Artificial Intelligence and Applications 223, 107–116 (2010)Google Scholar
  21. 21.
    Whittaker, S., Zimmermann, R.: Good Faith in European Contract Law. Cambridge University Press, Cambridge (2000)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Clara Smith
    • 1
    • 2
  • Agustín Ambrossio
    • 1
  • Leandro Mendoza
    • 2
  • Antonino Rotolo
    • 3
  1. 1.FACETUCALPArgentina
  2. 2.Facultad de InformáticaUNLPArgentina
  3. 3.CIRSFIDUniversity of BolognaItaly

Personalised recommendations