Skip to main content
Springer Nature Link
Log in

Distributed Knowledge Whether

(Extended Abstract)

  • Conference paper
  • First Online:
Logic, Rationality, and Interaction (LORI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10455))

Included in the following conference series:

Abstract

As is known, by putting their knowledge together, agents can obtain distributed knowledge. However, by pooling their non-ignorance, agents can only obtain distributed knowledge as to whether something holds, rather than distributed knowledge (of something).

This research is funded by China Postdoctoral Science Foundation (2017T100050). The author thanks two anonymous referees for their insightful comments. Xingchi Su [13] also proposed the ‘distributed knowledge whether’ operator independently.

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. van Ditmarsch, H., van der Hoek, W., Kooi, B.: Dynamic Epistemic Logic: Synthese Library, vol. 337. Springer, Heidelberg (2007)

    Book  MATH  Google Scholar 

  2. Fagin, R., Halpern, J.Y., Vardi, M.Y.: What can machines know? On the properties of knowledge in distributed systems. J. ACM 39(2), 328–376 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  3. Fan, J.: Removing your ignorance by announcing group ignorance: A group announcement logic for ignorance. Stud. Log. 9(4), 4–33 (2016)

    Google Scholar 

  4. Fan, J., Wang, Y., van Ditmarsch, H.: Almost necessary. Adv. Modal Log. 10, 178–196 (2014)

    MathSciNet  Google Scholar 

  5. Fan, J., Wang, Y., van Ditmarsch, H.: Contingency and knowing whether. Rev. Symbolic Log. 8(1), 75–107 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  6. Hakli, R., Negri, S.: Proof Theory for Distributed Knowledge. In: Sadri, F., Satoh, K. (eds.) CLIMA 2007. LNCS, vol. 5056, pp. 100–116. Springer, Heidelberg (2008). doi:10.1007/978-3-540-88833-8_6

    Chapter  Google Scholar 

  7. Halpern, J.Y., Moses, Y.: Knowledge and common knowledge in a distributed environment. In: Proceedings of the 3rd ACM Conference on Distributed Computing. pp. 50–61 (1984), a revised and expanded version appears as: IBM Research Report RJ 4421. IBM, Yorktown Heights, N.Y. (1988)

    Google Scholar 

  8. Halpern, J.Y., Moses, Y.: Knowledge and common knowledge in a distributed environment. J. ACM 37(3), 549–587 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  9. Hintikka, J.: Knowledge and Belief. Cornell University Press, Ithaca (1962)

    MATH  Google Scholar 

  10. van der Hoek, W., Lomuscio, A.: A logic for ignorance. Electron. Notes Theoret. Comput. Sci. 85(2), 117–133 (2004)

    Article  MATH  Google Scholar 

  11. Plaza, J.: Logics of public communications. In: Proceedings of the 4th ISMIS. pp. 201–216. Oak Ridge National Laboratory (1989)

    Google Scholar 

  12. Roelofsen, F.: Distributed knowledge. J. Appl. Non Class. Log. 17(2), 255–273 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  13. Su, X.: Distributed knowing whether. In: Proceedings of Sixth International Conference on Logic, Rationality and Interaction (LORI) (2017, to appear)

    Google Scholar 

  14. Wáng, Y.N., Ågotnes, T.: Public Announcement Logic with Distributed Knowledge. In: Ditmarsch, H., Lang, J., Ju, S. (eds.) LORI 2011. LNCS, vol. 6953, pp. 328–341. Springer, Heidelberg (2011). doi:10.1007/978-3-642-24130-7_24

    Chapter  Google Scholar 

  15. Wáng, Y.N., Ågotnes, T.: Public announcement logic with distributed knowledge: expressivity, completeness and complexity. Synthese 190, 135–162 (2013)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Philosophy, Beijing Normal University, Beijing, China

    Jie Fan

Authors
  1. Jie Fan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jie Fan .

Editor information

Editors and Affiliations

  1. Institute for Logic, Language and Computation, University of Amsterdam , Amsterdam, Noord-Holland, The Netherlands

    Alexandru Baltag

  2. Department of Philosophy, The University of Auckland, Auckland, Auckland, New Zealand

    Jeremy Seligman

  3. Graduate School of Letters, Hokkaido University , Sapporo, Japan

    Tomoyuki Yamada

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer-Verlag GmbH Germany

About this paper

Cite this paper

Fan, J. (2017). Distributed Knowledge Whether. In: Baltag, A., Seligman, J., Yamada, T. (eds) Logic, Rationality, and Interaction. LORI 2017. Lecture Notes in Computer Science(), vol 10455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55665-8_45

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-55665-8_45

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-55664-1

  • Online ISBN: 978-3-662-55665-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Societies and partnerships