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On the Representation of Normative Sentences in FOL

  • Andrew J. I. Jones
  • Steven O. Kimbrough
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Part of the Lecture Notes in Computer Science book series (LNCS, volume 7360)

Abstract

Rules, regulations and policy statements quite frequently contain nested sequences of normative modalities as in, for example:

  • The database manager is obliged to permit the deputy-manager to authorise access for senior departmental staff.

  • Parking on highways ought to be forbidden. [24]

Accordingly, a knowledge-representation language for such sentences must be able to accommodate nesting of this kind. However, if—as some have proposed—normative modalities such as obligatory, permitted, and authorised are to be interpreted as first-order predicates of named actions, then nesting appears to present a problem, since the scope formula of obligatory in “obligatory that it is permitted that a” (where a names an action) is not a name but a sentence.

The ‘disquotation’ theory presented in Kimbrough (“A Note on Interpretations for Federated Languages and the Use of Disquotation”, and elsewhere) may provide a candidate solution to this FOL problem. In this paper we rehearse parts of that theory and evaluate its efficacy for dealing with the indicated normative nesting problem.

Keywords

Modal Logic Path Closure Double Negation Source Language Event Semantic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Bennett, J.: Events and Their Names. Hackett Publishing Company, Indianapolis (1988); ISBN:0-87220-046-9Google Scholar
  2. 2.
    Bhargava, H.K., Kimbrough, S.O.: On embedded languages, meta-level reasoning and computer-aided modeling. In: Nash, S.G., Sofer, A. (eds.) The Impact of Emerging Technologies on Computer Science and Operations Research. Kluwer Academic Publishers, Boston (1995); ISBN 0-7923-9542-5. File: csts-94-meta-sok-hkbGoogle Scholar
  3. 3.
    Chellas, B.F.: Modal Logic: An Introduction. Cambridge University Press, Cambridge (1980)zbMATHGoogle Scholar
  4. 4.
    Davidson, D.: On saying that. Synthèse 1, 130–146 (1968-1969)CrossRefGoogle Scholar
  5. 5.
    Davidson, D.: The Logical Form of Action Sentences. In: Essays on Actions and Events, pp. 105–148. Clarendon Press, Oxford University Press, Oxford, United Kingdom (1980); ISBN: 0-19-824637-4Google Scholar
  6. 6.
    Davidson, D.: On Saying That. In: Inquiries into Truth and Interpretation, pp. 93–108. Clarendon Press, Oxford University Press, Oxford, United Kingdom (1984); originally published as [4]Google Scholar
  7. 7.
    Higginbotham, J., Pianesi, F., Varzi, A.C. (eds.): Speaking of Events. Oxford Univesity Press, New York (2000); ISBN: 0-19-512811-7Google Scholar
  8. 8.
    Hilpinen, R.: Deontic Logic: Introductory and Systematic Readings. Springer, Heidelberg (1970)Google Scholar
  9. 9.
    Hughes, G.E., Cresswell, M.J.: An Introduction to Modal Logic. Methuen and Company Limited, London(1968)Google Scholar
  10. 10.
    Jeffrey, R.: Formal Logic: Its Scope and Limits, 3rd edn. McGraw-Hill, Inc., New York (1991)zbMATHGoogle Scholar
  11. 11.
    Jones, A.J., Kimbrough, S.O.: A note on modelling speech acts as signalling conventions. In: Kimbrough, S.O., Wu, D.J. (eds.) Formal Modelling in Electronic Commerce, International Handbooks on Information Systems, pp. 325–342. Springer, Berlin (2005)Google Scholar
  12. 12.
    Jones, A.J., Pitt, J., Artikis, A.: A methodology for engineering intelligent socio-technical systems (2011) (forthcoming) Google Scholar
  13. 13.
    Jones, A.J., Pitt, J., Artikis, A.: On the analysis and implementation of normative systems — towards a methodology. In: Proceedings of the Workshop on Coordination, Organisation, Institutions and Norms (COIN), 10th International Conference on Autonomous Agents and Multi-agent Systems (AAMAS), Taipei, Taiwan, pp. 47–56 (2011)Google Scholar
  14. 14.
    Jones, A.J., Sergot, M.J.: A formal characterisation of institutionalised power. Logic Journal of the IGPL 4(3), 427–443 (1996); reprinted in [30], pp. 349–367] MathSciNetzbMATHCrossRefGoogle Scholar
  15. 15.
    Kimbrough, S.O.: On electronic commerce, subatomic semantics and Cæsar’s stabbing. In: Sprague Jr., R.H. (ed.) Proceedings of the Thirtieth Hawaii International Conference on System Sciences, pp. 361–370. IEEE Press, Los Alamitos (1997)Google Scholar
  16. 16.
    Kimbrough, S.O.: Reasoning about the objects of attitudes and operators: Towards a disquotation theory for representation of propositional content. In: Proceedings of ICAIL 2001: International Conference on Artificial Intelligence and Law (2001)Google Scholar
  17. 17.
    Kimbrough, S.O.: A note on interpretations for federated languages and the use of disquotation. In: Gardner, A. (ed.) Proceedings of the Tenth International Conference on Artificial Intelligence and Law (ICAIL 2005), Cooperation with ACM SIGART and The American Association for Artificial Intelligence, Bologna, Italy, June 6-11, pp. 10–19 (2005)Google Scholar
  18. 18.
    Kimbrough, S.O.: Formal language for business communication: Sketch of a basic theory. International Journal of Electronic Commerce 3(2), 23–44 (1998-1999)zbMATHGoogle Scholar
  19. 19.
    Kimbrough, S.O., Tan, Y.H.: On lean messaging with unfolding and unwrapping for electronic commerce. International Journal of Electronic Commerce 5(1), 83–108 (2000)Google Scholar
  20. 20.
    Kowalski, R., Sergot, M.: A logic-base calculus of events. New Generation Computing 4(1), 67–95 (1986)CrossRefGoogle Scholar
  21. 21.
    Larson, R., Segal, G.: Knowledge of Meaning: An Introduction to Semantic Theory. The MIT Press, Cambridge (1995); ISBN: 0-262-62100-2Google Scholar
  22. 22.
    Ludlow, P.: Semantics, Tense, and Time: An Essay in the Metaphysics of Natural Language. The MIT Press, Cambridge (1999); ISBN: 0-262-12219-7Google Scholar
  23. 23.
    Mackie, J.L.: Problems of intentionality. In: Joan, M.P. (ed.) Logic and Knowledge: Selected Papers, vol. 1, pp. 102–116. Oxford University Press, Oxford (1985)Google Scholar
  24. 24.
    Marcus, R.B.: Iterated deontic modalities. Mind New Series 75(300), 580–582 (1966)CrossRefGoogle Scholar
  25. 25.
    Moore, R.C.: Events, Situations, and Adverbs. In: Logic and Representation, pp. 159–170. Center for the Study of Language and Information, Stanford (1995); ISBN: 1-881526-15-1Google Scholar
  26. 26.
    Parsons, T.: Events in the Semantics of English: A Study in Subatomic Semantics. Current Studies in Linguistics. The MIT Press, Cambridge (1990); ISBN: 0-262-66093-8Google Scholar
  27. 27.
    Pustejovsky, J.: The Generative Lexicon. The MIT Press, Cambridge (1995)Google Scholar
  28. 28.
    Reichenbach, H.: Elements of Symbolic Logic. The Macmillan Company, New York (1947)Google Scholar
  29. 29.
    Schein, B.: Plurals and Events. The MIT Press, Cambridge (1993)Google Scholar
  30. 30.
    Valdés, E.G., et al. (eds.): Normative Systems in Legal and Moral Theory – Festschrift for Carlos E. Alchourrón and Eugenio Bulygin. Duncker & Humblot, Berlin (1997)Google Scholar
  31. 31.
    van Benthem, J.: Modal Logic for Open Minds. Center for the Study of Language and Information, Palo Alto (April 15, 2010)Google Scholar
  32. 32.
    van Voorst, J.: Event Structure. John Benjamins Publishing Company, Philadelphia (1988)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Andrew J. I. Jones
    • 1
  • Steven O. Kimbrough
    • 2
  1. 1.Kings College LondonUK
  2. 2.University of PennsylvaniaUSA

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