Advertisement

Model Transformers for Dynamical Systems of Dynamic Epistemic Logic

  • Rasmus K. Rendsvig
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9394)

Abstract

This paper takes a dynamical systems perspective on the semantic structures of dynamic epistemic logic (DEL) and asks the question which orbits DEL-based dynamical systems may produce. The class of dynamical systems based directly on action models produce very limited orbits. Three types of more complex model transformers are equivalent and may produce a large class of orbits, suitable for most modeling purposes.

Keywords

dynamic epistemic logic dynamical systems model transformers protocols modeling 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Baltag, A., Moss, L.S.: Logics for Epistemic Programs. Synthese 139(2), 165–224 (2004)MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Baltag, A., Moss, L.S., Solecki, S.: The Logic of Public Announcements, Common Knowledge, and Private Suspicions (extended abstract). In: Proc. of the Intl. Conf. TARK 1998, pp. 43–56. Morgan Kaufmann Publishers (1998)Google Scholar
  3. 3.
    van Benthem, J., Gerbrandy, J., Hoshi, T., Pacuit, E.: Merging Frameworks for Interaction. Journal of Philosophical Logic 38(5), 491–526 (2009)MathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Blackburn, P., de Rijke, M., Venema, Y.: Modal Logic. Cambridge University Press (2001)Google Scholar
  5. 5.
    Bolander, T., Birkegaard, M.: Epistemic planning for single- and multi-agent systems. Journal of Applied Non-Classical Logics 21(1), 9–34 (2011)MathSciNetCrossRefMATHGoogle Scholar
  6. 6.
    Broer, H.W., Takens, F.: Preliminaries of Dynamical Systems Theory. In: Hasselblatt, B., Broer, H.W., Takens, F. (eds.) Handbook of Dynamical Systems, North-Holland, vol. 3 (2010)Google Scholar
  7. 7.
    Dégremont, C.: The Temporal Mind: Observations on the logic of belief change in interactive systems. PhD thesis, University of Amsterdam (2010)Google Scholar
  8. 8.
    van Ditmarsch, H., Kooi, B.: Semantic Results for Ontic and Epistemic Change. In: Bonanno, G., van der Hoek, W., Wooldridge, M. (eds.) Logic and the Foundations of Game and Decision Theory (LOFT 7). Texts in Logic and Games, vol. 3, pp. 87–117. Amsterdam University Press (2008)Google Scholar
  9. 9.
    van Eijck, J., Sietsma, F., Wang, Y.: Composing models. Journal of Applied Non-Classical Logics 21(3-4), 397–425 (2011)MathSciNetCrossRefMATHGoogle Scholar
  10. 10.
    Fagin, R., Halpern, J.Y., Moses, Y., Vardi, M.Y.: Reasoning About Knowledge. The MIT Press (1995)Google Scholar
  11. 11.
    Goranko, V., Otto, M.: Model Theory of Modal Logic. In: Blackburn, P., van Benthem, J., Wolter, F. (eds.) Handbook of Modal Logic, Elsevier (2008)Google Scholar
  12. 12.
    Plaza, J.A.: Logics of public communications. In: Emrich, M.L., Pfeifer, M.S., Hadzikadic, M., Ras, Z.W. (eds.) Proceedings of the 4th International Symposium on Methodologies for Intelligent Systems, pp. 201–216 (1989)Google Scholar
  13. 13.
    Rodenhäuser, B.: A logic for extensional protocols. Journal of Applied Non-Classical Logics 21(3-4), 477–502 (2011)MathSciNetCrossRefMATHGoogle Scholar
  14. 14.
    Sarenac, D.: Modal Logic for Qualitative Dynamics. In: Roy, O., Girard, P., Marion, M. (eds.) Dynamic Formal Epistemology. Synthese Library, vol. 351, pp. 75–101. Springer (2011)Google Scholar
  15. 15.
    Wang, Y.: Epistemic Modelling and Protocol Dynamics. Doctoral thesis, Universiteit van Amsterdam (2010)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Information Quality Research GroupLund UniversityLundSweden
  2. 2.Center for Information and Bubble StudiesUniversity of CopenhagenCopenhagenDenmark

Personalised recommendations