A Reduction from DLP to PDL

  • Authors:
  • Stéphane Demri

  • Affiliations:
  • Laboratoire Spécification et Vérification, CNRS & INRIA Futurs projet SECSI & ENS Cachan, 61, av. Pdt. Wilson, 94235 Cachan Cedex, France. Email: demri@lsv.ens-cachan.fr

  • Venue:
  • Journal of Logic and Computation
  • Year:
  • 2005

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Abstract

We present a reduction from a new logic extending van der Meyden's dynamic logic of permission (DLP) into propositional dynamic logic (PDL), providing a 2EXPTIME decision procedure and showing that all the machinery for PDL can be reused for reasoning about dynamic policies. As a side-effect, we establish that DLP is EXPTIME-complete. The logic we introduce extends the logic DLP so that the policy set can be updated depending on its current value and such an update corresponds to add/delete transitions in the model, showing similarities with van Benthem's sabotage modal logic.