Skip to main content

Model Transformers for Dynamical Systems of Dynamic Epistemic Logic

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNTCS,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.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Baltag, A., Moss, L.S.: Logics for Epistemic Programs. Synthese 139(2), 165–224 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  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. van Benthem, J., Gerbrandy, J., Hoshi, T., Pacuit, E.: Merging Frameworks for Interaction. Journal of Philosophical Logic 38(5), 491–526 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  4. Blackburn, P., de Rijke, M., Venema, Y.: Modal Logic. Cambridge University Press (2001)

    Google Scholar 

  5. Bolander, T., Birkegaard, M.: Epistemic planning for single- and multi-agent systems. Journal of Applied Non-Classical Logics 21(1), 9–34 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  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. Dégremont, C.: The Temporal Mind: Observations on the logic of belief change in interactive systems. PhD thesis, University of Amsterdam (2010)

    Google Scholar 

  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. van Eijck, J., Sietsma, F., Wang, Y.: Composing models. Journal of Applied Non-Classical Logics 21(3-4), 397–425 (2011)

    Article  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

  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. 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. Rodenhäuser, B.: A logic for extensional protocols. Journal of Applied Non-Classical Logics 21(3-4), 477–502 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  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. Wang, Y.: Epistemic Modelling and Protocol Dynamics. Doctoral thesis, Universiteit van Amsterdam (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rasmus K. Rendsvig .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rendsvig, R.K. (2015). Model Transformers for Dynamical Systems of Dynamic Epistemic Logic. In: van der Hoek, W., Holliday, W., Wang, Wf. (eds) Logic, Rationality, and Interaction. LORI 2015. Lecture Notes in Computer Science(), vol 9394. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48561-3_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-48561-3_26

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48560-6

  • Online ISBN: 978-3-662-48561-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics