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 K i , O i 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].
The authors acknowledge support from the EPSRC (grant GR/S49353) and the Nuffield Foundation (grant NAL/690/G).
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Lomuscio, A., Woźna, B. (2006). A Complete and Decidable Axiomatisation for Deontic Interpreted Systems. In: Goble, L., Meyer, JJ.C. (eds) Deontic Logic and Artificial Normative Systems. DEON 2006. Lecture Notes in Computer Science(), vol 4048. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11786849_20
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DOI: https://doi.org/10.1007/11786849_20
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