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Journal of Logic and Computation 2005 15(5):767-785; doi:10.1093/logcom/exi043
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Vol. 15 No. 5, © The Author, 2005. Published by Oxford University Press. All rights reserved.

Original Articles

A Reduction from DLP to PDL

Stéphane Demri

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

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.

Keywords: Dynamic logic of permissions, logic of programs, deletion of states/transitions, computational complexity

Received 3 May 2004.


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