Possible Worlds Semantics for Probabilistic Logic Programs

  • Alex Dekhtyar
  • Michael I. Dekhtyar
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3132)

Abstract

In this paper we consider a logic programming framework for reasoning about imprecise probabilities. In particular, we propose a new semantics, for the Probabilistic Logic Programs (p-programs) of Ng and Subrahmanian. P-programs represent imprecision using probability intervals. Our semantics, based on the possible worlds semantics, considers all point probability distributions that satisfy a given p-program. In the paper, we provide the exact characterization of such models of a p-program. We show that the set of models of a p-program cannot, in general case, be described by single intervals associated with atoms of the program. We provide algorithms for efficient construction of this set of models and study their complexity.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Alex Dekhtyar
    • 1
  • Michael I. Dekhtyar
    • 2
  1. 1.Department of Computer ScienceUniversity of Kentucky 
  2. 2.Department of Computer ScienceTver State University 

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