Horn Belief Change: A Contraction Core

  • Authors:
  • Richard Booth;Thomas Meyer;Ivan Varzinczak;Renata Wassermann

  • Affiliations:
  • University of Luxembourg. richard.booth@uni.lu;Meraka Institute, South Africa. tommie.meyer@meraka.org.za;Meraka Institute, South Africa. ivan.varzinczak@meraka.org.za;Universidade de São Paulo, Brazil. renata@ime.usp.br

  • Venue:
  • Proceedings of the 2010 conference on ECAI 2010: 19th European Conference on Artificial Intelligence
  • Year:
  • 2010

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Abstract

We show that Booth et al.'s Horn contraction based on infra-remainder sets corresponds exactly to kernel contraction for belief sets. This result is obtained via a detour through Horn contraction for belief bases, which supports the conjecture that Horn belief change is best viewed as a “hybrid” version of belief set change and belief base change. Moreover, the link with base contraction gives us a more elegant representation result for Horn contraction for belief sets in which a version of the Core-retainment postulate features.