A complete and decidable axiomatisation for deontic interpreted systems

  • Authors:
  • Alessio Lomuscio;Bożena Woźna

  • Affiliations:
  • Department of Computer Science, University College London, London, United Kingdom;Department of Computer Science, University College London, London, United Kingdom

  • Venue:
  • DEON'06 Proceedings of the 8th international conference on Deontic Logic and Artificial Normative Systems
  • Year:
  • 2006

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Abstract

We solve the problem left open in [5] by providing a complete axiomatisation of deontic interpreted systems on a language that includes full CTL as well as the Ki, Oi and ${\mathcal{\widehat{\rm {K}}}}^j_i$ modalities. Additionally we show that the logic employed enjoys the finite model property, hence decidability is guaranteed. To achieve these results we follow and extend the technique used by Halpern and Emerson in [2].