Transitively Relational Partial Meet Horn Contraction

Zhiqiang Zhuang, Maurice Pagnucco · 2012

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.

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