Only knowing with degrees of confidence

نویسندگان

  • Arild Waaler
  • Johan W. Klüwer
  • Tore Langholm
  • Espen H. Lian
چکیده

A new logic of belief (in the “Only knowing” family) with confidence levels is presented. The logic allows a natural distinction between explicit and implicit belief representations, where the explicit form directly expresses its models. The explicit form can be found by applying a set of equivalence preserving rewriting rules to the implicit form. The rewriting process is performed entirely within the logic, on the object level, provided we supply an explicit formalization of the logical space. We prove that the problem of deciding whether there exists a consistent explicit form is Σp2-complete, a complexity class to which many problems of nonmonotonic reasoning belong. The article also contains a conceptual analysis of basic notions in this paper like belief, co-belief and degrees of confidence.

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عنوان ژورنال:
  • J. Applied Logic

دوره 5  شماره 

صفحات  -

تاریخ انتشار 2007