An Order of Magnitude Calculus
Artificial Intelligence
2013-02-21 v1
Abstract
This paper develops a simple calculus for order of magnitude reasoning. A semantics is given with soundness and completeness results. Order of magnitude probability functions are easily defined and turn out to be equivalent to kappa functions, which are slight generalizations of Spohn's Natural Conditional Functions. The calculus also gives rise to an order of magnitude decision theory, which can be used to justify an amended version of Pearl's decision theory for kappa functions, although the latter is weaker and less expressive.
Keywords
Cite
@article{arxiv.1302.4989,
title = {An Order of Magnitude Calculus},
author = {Nic Wilson},
journal= {arXiv preprint arXiv:1302.4989},
year = {2013}
}
Comments
Appears in Proceedings of the Eleventh Conference on Uncertainty in Artificial Intelligence (UAI1995)