Morphologic for knowledge dynamics: revision, fusion, abduction
  Several tasks in artificial intelligence require to be able to find models
about knowledge dynamics. They include belief revision, fusion and belief
merging, and abduction. In this paper we exploit the algebraic framework of
mathematical morphology in the context of propositional logic, and define
operations such as dilation or erosion of a set of formulas. We derive concrete
operators, based on a semantic approach, that have an intuitive interpretation
and that are formally well behaved, to perform revision, fusion and abduction.
Computation and tractability are addressed, and simple examples illustrate the
typical results that can be obtained.
