LILaC - paper abstract

Modal Probability, Belief, and Actions

Abstract:

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.

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Note:

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)

Bibtex-entry: 


@Article{Herzig-FI03,
  author =   "Herzig, Andreas",
  title =    "Modal Probability, Belief, and Actions",
  journal =      "Fundamenta Informaticae",
  year =     {2003},
  volume =   {57},
  number =   {2-4},
  pages =     {323--344},
  url =      "https://www.irit.fr/PERSONNEL/LILaC/Herzig/P/Fi03.html"
}
https://www.irit.fr/~Andreas.Herzig