Transitively relational partial meet horn contraction

  • Authors:
  • Zhiqiang Zhuang;Maurice Pagnucco

  • Affiliations:
  • National ICT Australia and ARC Centre of Excellence in Autonomous Systems, School of Computer Science and Engineering, The University of New South Wales, Sydney, NSW, Australia;National ICT Australia and ARC Centre of Excellence in Autonomous Systems, School of Computer Science and Engineering, The University of New South Wales, Sydney, NSW, Australia

  • Venue:
  • IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
  • Year:
  • 2011

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Abstract

Following the recent trend of studying the theory of belief revision under the Horn fragment of propositional logic this paper develops a fully characterised Horn contraction which is analogous to the traditional transitively relational partial meet contraction [Alchourrón et al., 1985]. This Horn contraction extends the partial meet Horn contraction studied in [Delgrande and Wassermann, 2010] so that it is guided by a transitive relation that models the ordering of plausibility over sets of beliefs.