Skip to main content
SpringerLink
Log in

Sequent-Based Argumentation for Normative Reasoning

  • Conference paper
Deontic Logic and Normative Systems (DEON 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8554))

Included in the following conference series:

Abstract

In this paper we present an argumentative approach to normative reasoning. Special attention is paid to deontic conflicts, contrary-to-duty and specificity cases. These are modeled by means of argumentative attacks. For this, we adopt a recently proposed framework for logical argumentation in which arguments are generated by a sequent calculus of a given base logic (see[1]), and use standard deontic logic as our base logic. Argumentative attacks are realized by elimination rules that allow to discharge specific sequents. We demonstrate our system by means of various well-known benchmark examples.

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

Access this chapter

Log in via an institution
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arieli, O.: A sequent-based representation of logical argumentation. In: Leite, J., Son, T.C., Torroni, P., van der Torre, L., Woltran, S. (eds.) CLIMA XIV 2013. LNCS, vol. 8143, pp. 69–85. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  2. Aqvist, L.: Deontic logic. In: Gabbay, D.M., Guenthner, F. (eds.) Handbook of Philosophical Logic, 2nd edn., vol. 8, pp. 147–264. Kluwer (2002)

    Google Scholar 

  3. Beirlaen, M., Straßer, C., Meheus, J.: An inconsistency-adaptive deontic logic for normative conflicts. Journal of Philosophical Logic 2(42), 285–315 (2013)

    Article  Google Scholar 

  4. Carmo, J., Jones, A.J.I.: Deontic logic and contrary-to-duties. In: Gabbay, D.M., Guenthner, F. (eds.) Handbook of Philosophical Logic, 2nd edn., vol. 8, pp. 265–343. Kluwer (2002)

    Google Scholar 

  5. Straßer, C.: A deontic logic framework allowing for factual detachment. Journal of Applied Logic 9(1), 61–80 (2010)

    Article  Google Scholar 

  6. Goble, L.: Deontic logic (adapted) for normative conflicts. Logic Journal of the IGPL (2013)

    Google Scholar 

  7. Horty, J.F.: Reasoning with moral conflicts. Noûs 37(4), 557–605 (2003)

    Article  MathSciNet  Google Scholar 

  8. Straßer, C., Beirlaen, M.: An Andersonian deontic logic with contextualized sanctions. In: Ågotnes, T., Broersen, J., Elgesem, D. (eds.) DEON 2012. LNCS, vol. 7393, pp. 151–169. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  10. Dung, P.M., Kowalski, R.A., Toni, F.: Assumption-based argumentation. Argumentation in Artificial Intelligence, 199–218 (2009)

    Google Scholar 

  11. Prakken, H.: An abstract framework for argumentation with structured arguments. Argument and Computation 1(2), 93–124 (2011)

    Article  Google Scholar 

  12. Batens, D.: A universal logic approach to adaptive logics. Logica Universalis 1, 221–242 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  13. Straßer, C.: Adaptive Logic and Defeasible Reasoning. Applications in Argumentation, Normative Reasoning and Default Reasoning. Trends in Logic, vol. 38. Springer (2014)

    Google Scholar 

  14. Arieli, O., Straßer, C.: Dynamic derivations for sequent-based logical argumentation. To appear in the Proceedings of COMMA 2014. IOS Press (2014)

    Google Scholar 

  15. Gentzen, G.: Investigations into logical deduction (1934) An English translation appears in Szabo, M.E. (ed.): The Collected Works of Gerhard Gentzen. North-Holland (1969) (in German)

    Google Scholar 

  16. Horty, J.F.: Moral dilemmas and nonmonotonic logic. Journal of Philosophical Logic 23, 35–65 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  17. Valentini, S.: The sequent calculus for the modal logic D. Unione Matematica Italiana. Bollettino. A. Serie 7(7), 3 (1993)

    Google Scholar 

  18. Forrester, J.: Gentle murder, or the adverbial samaritan. Journal of Philosophy 81, 193–197 (1984)

    Article  MathSciNet  Google Scholar 

  19. Stolpe, A.: A theory of permission based on the notion of derogation. Journal of Applied Logic 8(1), 97–113 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  20. Caminada, M.: On the issue of contraposition of defeasible rules. Frontiers in Artificial Intelligence and Applications 172, 109–115 (2008)

    MathSciNet  Google Scholar 

  21. Prakken, H.: Some reflections on two current trends in formal argumentation. In: Logic Programs, Norms and Action, pp. 249–272 (2012)

    Google Scholar 

  22. Van Der Torre, L., Tan, Y.H.: Cancelling and overshadowing: two types of defeasibility in defeasible deontic logic. In: Proc. IJCAI 1995, pp. 1525–1532 (1995)

    Google Scholar 

  23. Chisholm, R.M.: Contrary-to-duty imperatives and deontic logic. Analysis 24, 33–36 (1963)

    Article  Google Scholar 

  24. Makinson, D., Van Der Torre, L.: Input/Output logics. Journal of Philosophical Logic 29, 383–408 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  25. Makinson, D., Van Der Torre, L.: Constraints for Input/Output logics. Journal of Philosophical Logic 30(2), 155–185 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  26. Gonçalves, R., Alferes, J.J.: An embedding of input-output logic in deontic logic programs. In: Ågotnes, T., Broersen, J., Elgesem, D. (eds.) DEON 2012. LNCS, vol. 7393, pp. 61–75. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  27. Straßer, C., Beirlaen, M., Putte, F.V.D.: Dynamic proof theories for input/output logic. Under review (2014)

    Google Scholar 

  28. Gabbay, D.: Bipolar argumentation frames and contrary to duty obligations, preliminary report. In: Fisher, M., van der Torre, L., Dastani, M., Governatori, G. (eds.) CLIMA XIII 2012. LNCS, vol. 7486, pp. 1–24. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  29. Oren, N., Luck, M., Miles, S., Norman, T.: An argumentation inspired heuristic for resolving normative conflict. In: Proc. AAMAS 2008, pp. 41–56 (2008)

    Google Scholar 

  30. Goble, L.: A proposal for dealing with deontic dilemmas. In: Lomuscio, A., Nute, D. (eds.) DEON 2004. LNCS (LNAI), vol. 3065, pp. 74–113. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  31. Straßer, C.: An adaptive logic framework for conditional obligations and deontic dilemmas. Logic and Logical Philosophy 19(1-2), 95–128 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  32. Meheus, J., Beirlaen, M., Van De Putte, F.: Avoiding deontic explosion by contextually restricting aggregation. In: Governatori, G., Sartor, G. (eds.) DEON 2010. LNCS, vol. 6181, pp. 148–165. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  33. Makinson, D., Van Der Torre, L.: Permission from an input/output perspective. Journal of Philosophical Logic 32(4), 391–416 (2003)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre for Logic and Philosophy of Science, Ghent University, Belgium

    Christian Straßer

  2. School of Computer Science, The Academic College of Tel-Aviv, Israel

    Ofer Arieli

Authors
  1. Christian Straßer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ofer Arieli
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Philosophy, Northwestern University, Campus Drive, 1880, 60208, Evanston, IL, USA

    Fabrizio Cariani

  2. Department of Computer Science, University of Liverpool, Ashton Building, Ashton Street, L69 3BX, Liverpool, UK

    Davide Grossi

  3. Centre for Logic and Philosophy of Science, Universiteit Gent, Blandijnberg 2, 9000, Gent, Belgium

    Joke Meheus

  4. University of Luxembourg,  6, rue Richard Coudenhove-Kalergi, 1359, Luxembourg, Luxembourg

    Xavier Parent

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Straßer, C., Arieli, O. (2014). Sequent-Based Argumentation for Normative Reasoning. In: Cariani, F., Grossi, D., Meheus, J., Parent, X. (eds) Deontic Logic and Normative Systems. DEON 2014. Lecture Notes in Computer Science(), vol 8554. Springer, Cham. https://doi.org/10.1007/978-3-319-08615-6_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-08615-6_17

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08614-9

  • Online ISBN: 978-3-319-08615-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation