A representation theorem for recovering contraction relations satisfying wci

  • Authors:
  • Zhaohui Zhu;Bin Li;Xi'an Xiao;Shifu Chen;Wujia Zhu

  • Affiliations:
  • Department of Computer Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People's Republic of China and State Key Lab of Novel Software Technology, Nanjing University, N ...;State Key Lab of Novel Software Technology, Nanjing University, Nanjing 210093, People's Republic of China;College of Science, PLA University of Science and Technology, Nanjing 211101, People's Republic of China;State Key Lab of Novel Software Technology, Nanjing University, Nanjing 210093, People's Republic of China;Department of Computer Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People's Republic of China

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2003

Quantified Score

Hi-index 5.23

Visualization

Abstract

A notion of an image structure associated with the canonical epistemic state is introduced. Based on it, we get a representation result for recovering contraction inference relations satisfying the condition weak conjunctive inclusion (wci) in terms of F-standard epistemic AGM states. In effect, this result establishes a representation theorem for belief contraction functions satisfying AGM postulates (k-1) - (k-7), and Rott's (wci) and (k-8c), and hence generalizes Rott's corresponding result in the finite framework.