Skip to main content

A Deontic Argumentation Framework Based on Deontic Defeasible Logic

  • Conference paper
  • First Online:
Book cover PRIMA 2018: Principles and Practice of Multi-Agent Systems (PRIMA 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11224))

Abstract

Deontic Defeasible Logic (DDL) is a simple and computationally efficient approach for the representation of normative reasoning. Traditionally defeasible logics are defined proof theoretically based on the proof conditions for the logic. In this paper we present an argumentation system that corresponds to a variant of DDL. The resulting machinery is able to grasp in a natural way intuitions behind deontic reasoning with conditional norms featuring obligations, prohibitions, and (strong or weak) permissions.

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

Access this chapter

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 EPUB and 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

Institutional subscriptions

Notes

  1. 1.

    As usual, the height of an argument is the number of edges on the longest path between the root and a leaf node.

  2. 2.

    Arrows indicate the type of rule used.

References

  1. Antoniou, G., Billington, D., Governatori, G., Maher, M.J.: Representation results for defeasible logic. ACM Trans. Comput. Logic 2, 255–287 (2001)

    Article  MathSciNet  Google Scholar 

  2. Atkinson, K., et al.: Towards artificial argumentation. AI Mag. 38(3), 25–36 (2017)

    Google Scholar 

  3. Beirlaen, M., Heyninck, J., Straßer, C.: Structured argumentation with prioritized conditional obligations and permissions. J. Log. Comput., exy005 (2018)

    Google Scholar 

  4. Beirlaen, M., Straßer, C.: A structured argumentation framework for detaching conditional obligations. CoRR abs/1606.00339 (2016)

    Google Scholar 

  5. Dung, P.M.: On the acceptability of arguments and its fundamental role in nonmonotonic reasoning, logic programming and n-person games. Artif. Intell. 77(2), 321–358 (1995)

    Article  MathSciNet  Google Scholar 

  6. Gabbay, D., Horty, J., Parent, X., van der Meyden, R., van der Torre, L. (eds.): Handbook of Deontic Logic and Normative Systems. College Publications, London (2013)

    Google Scholar 

  7. Governatori, G., Maher, M.J., Antoniou, G., Billington, D.: Argumentation semantics for defeasible logic. J. Log. Comput. 14(5), 675–702 (2004)

    Article  MathSciNet  Google Scholar 

  8. Governatori, G., Rotolo, A.: BIO logical agents: norms, beliefs, intentions in defeasible logic. Auton. Agents Multi-Agent Syst. 17(1), 36–69 (2008)

    Article  Google Scholar 

  9. Governatori, G., Rotolo, A., Calardo, E.: Possible world semantics for defeasible deontic logic. In: Ågotnes, T., Broersen, J., Elgesem, D. (eds.) DEON 2012. LNCS (LNAI), vol. 7393, pp. 46–60. Springer, Heidelberg (2012). https://doi.org/10.1007/978-3-642-31570-1_4

    Chapter  Google Scholar 

  10. Governatori, G., Rotolo, A., Sartor, G.: Temporalised normative positions in defeasible logic. In: Proceedings of the 10th International Conference on Artificial Intelligence and Law, pp. 25–34. ACM (2005)

    Google Scholar 

  11. Lam, H.-P., Governatori, G.: What are the necessity rules in defeasible reasoning? In: Delgrande, J.P., Faber, W. (eds.) LPNMR 2011. LNCS (LNAI), vol. 6645, pp. 187–192. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-20895-9_17

    Chapter  Google Scholar 

  12. Lam, H.P., Governatori, G., Riveret, R.: On ASPIC\(^{+}\) and defeasible logic. In: Baroni, P. (ed.) Proceedings of 6th International Conference on Computational Models of Argument. IOS Press, Amsterdam (2016)

    Google Scholar 

  13. Prakken, H., Sartor, G.: Law and logic: a review from an argumentation perspective. Artif. Intell. 227, 214–245 (2015)

    Article  MathSciNet  Google Scholar 

  14. Prakken, H., Wyner, A.Z., Bench-Capon, T.J.M., Atkinson, K.: A formalization of argumentation schemes for legal case-based reasoning in ASPIC\(^+\). J. Log. Comput. 25(5), 1141–1166 (2015)

    Article  MathSciNet  Google Scholar 

  15. Riveret, R., Governatori, G., Rotolo, A.: Argumentation semantics for temporal defeasible logic. In: Proceedings of the 3rd Starting AI Researchers’ Symposium, pp. 267–268. IOS Press (2006)

    Google Scholar 

  16. Riveret, R., Prakken, H., Rotolo, A., Sartor, G.: Heuristics in argumentation: a game-theoretical investigation. In: Proceedings of the 2nd International Conference on Computational Models of Argument, pp. 324–335. IOS Press (2008)

    Google Scholar 

  17. Sartor, G., Rudnianski, M., Rotolo, A., Riveret, R., Mayor, E.: Why lawyers are nice (or nasty): a game-theoretical argumentation exercise. In: Proceedings of the 12th International Conference on Artificial Intelligence and Law, pp. 108–117. ACM (2009)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Guido Governatori , Antonino Rotolo or Régis Riveret .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Governatori, G., Rotolo, A., Riveret, R. (2018). A Deontic Argumentation Framework Based on Deontic Defeasible Logic. In: Miller, T., Oren, N., Sakurai, Y., Noda, I., Savarimuthu, B.T.R., Cao Son, T. (eds) PRIMA 2018: Principles and Practice of Multi-Agent Systems. PRIMA 2018. Lecture Notes in Computer Science(), vol 11224. Springer, Cham. https://doi.org/10.1007/978-3-030-03098-8_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-03098-8_33

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-03097-1

  • Online ISBN: 978-3-030-03098-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics