Belief change and dependence
Fariņas del Cerro, Luis and and Herzig, Andreas
Abstract:
It is a very natural requirement for belief change operations that
formulas that are independent of a given update should be preserved.
Such a proposal has already been made by Gardenfors (1990).
In this perspective we study the links between belief change and the
notion of dependence, our aim being to give dependence axioms able to
characterize the AGM postulates.
Proceeding exactly in the same way as Gardenfors (1988) did in the
case of epistemic entrenchment, we show how a given dependence
relation can be used to define a contraction operation, and the other
way round we show how an independence relation can be obtained from a
given contraction operation. The grande finale is a characterization
theorem.
Bibtex-entry:
@InProceedings{FaHe-TARK96,
author = "Fari{\~{n}}as del Cerro, Luis and Herzig, Andreas",
title = "Belief change and dependence",
editor = "Shoham, Yoav",
pages = "147--162",
booktitle = "Proc. 6th Conf. on Theoretical Aspects of
Rationality and Knowledge (TARK'96)",
year = "1996",
publisher = "Morgan Kaufmann"
}
https://www.irit.fr/~Andreas.Herzig