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Prohairetic Deontic Logic (PDL)

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Logics in Artificial Intelligence (JELIA 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1489))

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Abstract

In this paper we introduce Prohairetic Deontic Logic (PDL), a preference-based dyadic deontic logic. An obligation ‘α should be (done) if β is (done)’ is true if (1) no ¬α∧β state is as preferable as an α∧β state and (2) the preferred β states are α states. We show that the different elements of this mixed representation solve different problems of deontic logic. The first part of the definition is used to formalize contrary-to-duty reasoning, that for example occurs in Chisholm’s and Forrester’s notorious deontic paradoxes. The second part is used to make dilemmas inconsistent. PDL shares the intuitive semantics of preference-based deontic logics without introducing additional semantic machinery such as bi-ordering semantics or ceteris paribus preferences.

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Author information

Authors and Affiliations

  1. IRIT, Paul Sabatier University, Toulouse, France

    Leendert W. N. van der Torre

  2. Euridis, Erasmus University Rotterdam, The Netherlands

    Yao-Hua Tan

Authors
  1. Leendert W. N. van der Torre
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  2. Yao-Hua Tan
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Maryland, College Park, Maryland, 20742, USA

    Jürgen Dix

  2. I.R.I.T. Université Paul Sabatier, 118 route de Narbonne, F-31062, Toulouse Cedex, France

    Luís Fariñas del Cerro

  3. Fachbereich 4: Informatik, Universität Koblenz, Rheinau 1, D-56075, Koblenz, Germany

    Ulrich Furbach

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© 1998 Springer-Verlag Berlin Heidelberg

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van der Torre, L.W.N., Tan, YH. (1998). Prohairetic Deontic Logic (PDL). In: Dix, J., del Cerro, L.F., Furbach, U. (eds) Logics in Artificial Intelligence. JELIA 1998. Lecture Notes in Computer Science(), vol 1489. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49545-2_6

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  • DOI: https://doi.org/10.1007/3-540-49545-2_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65141-3

  • Online ISBN: 978-3-540-49545-1

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