Morphologic for knowledge dynamics: revision, fusion, abduction
Artificial Intelligence
2018-02-15 v1
Abstract
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.
Cite
@article{arxiv.1802.05142,
title = {Morphologic for knowledge dynamics: revision, fusion, abduction},
author = {Isabelle Bloch and Jérôme Lang and Ramón Pino Pérez and Carlos Uzcátegui},
journal= {arXiv preprint arXiv:1802.05142},
year = {2018}
}