LILaC - paper abstract

Modal Probability, Belief, and Actions


We investigate a modal logic of probability with a unary modal operator expressing that a proposition is more probable than its negation. Such an operator is not closed under conjunction, and its modal logic is therefore non-normal. Within this framework we study the relation of probability with other modal concepts: belief and action. We focus on the evolution of belief, and propose an integration of revision. For that framework we give a regression algorithm.



PostScript, gzipped


A preliminary version has been published as:

Andreas Herzig and Dominique Longin. On modal probability and belief. In Nevin L. Zhang and Thomas D. Nielsen, editors, Proc. ECSQARU2003, volume 2711 of LNAI, pages 62-73. Springer Verlag, 2003. ( PDF / PostScript / PostScript, gzipped)


  author =   "Herzig, Andreas",
  title =    "Modal Probability, Belief, and Actions",
  journal =      "Fundamenta Informaticae",
  year =     {2003},
  volume =   {57},
  number =   {2-4},
  pages =     {323--344},
  url =      ""