Skip to main content

Horn-TeamLog: A Horn Fragment of TeamLog with PTime Data Complexity

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8083))

Abstract

The logic TeamLog proposed by Dunin-Kęplicz and Verbrugge is used to express properties of agents’ cooperation in terms of individual, bilateral and collective informational and motivational attitudes like beliefs, goals and intentions. In this paper we isolate a Horn fragment of TeamLog, called Horn-TeamLog, and we show that it has PTime data complexity.

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. Chen, C.C., Lin, I.P.: The computational complexity of the satisfiability of modal Horn clauses for modal propositional logics. Theoretical Computer Science 129, 95–121 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  2. Dunin-Kęplicz, B., Nguyen, L.A., Szałas, A.: A framework for graded beliefs, goals and intentions. Fundamenta Informaticae 100(1-4), 53–76 (2010)

    MathSciNet  Google Scholar 

  3. Dunin-Kęplicz, B., Nguyen, L.A., Szałas, A.: Tractable approximate knowledge fusion using the Horn fragment of serial propositional dynamic logic. Int. J. Approx. Reasoning 51(3), 346–362 (2010)

    Article  Google Scholar 

  4. Dunin-Kęplicz, B., Nguyen, L.A., Szałas, A.: A long version of the current paper (2013), http://www.mimuw.edu.pl/~nguyen/HornTeamLog-long.pdf

  5. Dunin-Kęplicz, B., Verbrugge, R.: Collective intentions. Fundam. Inform. 51(3), 271–295 (2002)

    Google Scholar 

  6. Dunin-Keplicz, B., Verbrugge, R.: Teamwork in Multi-Agent Systems: A Formal Approach. John Wiley & Sons, Ltd. (2010)

    Google Scholar 

  7. Dziubiński, M., Verbrugge, R., Dunin-Kęplicz, B.: Complexity issues in multiagent logics. Fundam. Inform. 75(1-4), 239–262 (2007)

    MATH  Google Scholar 

  8. Fariñas del Cerro, L., Penttonen, M.: A note on the complexity of the satisfiability of modal Horn clauses. Logic Programming 4, 1–10 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  9. Harel, D., Kozen, D., Tiuryn, J.: Dynamic Logic. MIT Press (2000)

    Google Scholar 

  10. Nguyen, L.A.: Constructing the least models for positive modal logic programs. Fundamenta Informaticae 42(1), 29–60 (2000)

    MathSciNet  MATH  Google Scholar 

  11. Nguyen, L.A.: A bottom-up method for the deterministic horn fragment of the description logic \(\mathcal{ALC}\). In: Fisher, M., van der Hoek, W., Konev, B., Lisitsa, A. (eds.) JELIA 2006. LNCS (LNAI), vol. 4160, pp. 346–358. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  12. Nguyen, L.A.: On the deterministic Horn fragment of test-free PDL. In: Hodkinson, I., Venema, Y. (eds.) Advances in Modal Logic, vol. 6, pp. 373–392. King’s College Publications (2006)

    Google Scholar 

  13. Nguyen, L.A.: Constructing finite least Kripke models for positive logic programs in serial regular grammar logics. Logic Journal of the IGPL 16(2), 175–193 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  14. Nguyen, L.A.: Horn knowledge bases in regular description logics with PTime data complexity. Fundamenta Informaticae 104(4), 349–384 (2010)

    MathSciNet  MATH  Google Scholar 

  15. Nguyen, L.A., Nguyen, T.-B.-L., Szałas, A.: Horn-DL: An expressive Horn description logic with PTime data complexity. In: Faber, W. (ed.) RR 2013. LNCS, vol. 7994, pp. 259–264. Springer, Heidelberg (2013)

    Google Scholar 

  16. Nguyen, L.A., Szałas, A.: On the Horn fragments of serial regular grammar logics with converse. In: Proceedings of KES-AMSTA. Frontiers of Artificial Intelligence and Applications, vol. 252, pp. 225–234. IOS Press (2013)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dunin-Kęplicz, B., Nguyen, L.A., Szałas, A. (2013). Horn-TeamLog: A Horn Fragment of TeamLog with PTime Data Complexity. In: Bǎdicǎ, C., Nguyen, N.T., Brezovan, M. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2013. Lecture Notes in Computer Science(), vol 8083. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40495-5_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-40495-5_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40494-8

  • Online ISBN: 978-3-642-40495-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics