English

Exceptional Subclasses in Qualitative Probability

Artificial Intelligence 2013-02-28 v1

Abstract

System Z+ [Goldszmidt and Pearl, 1991, Goldszmidt, 1992] is a formalism for reasoning with normality defaults of the form "typically if phi then + (with strength cf)" where 6 is a positive integer. The system has a critical shortcoming in that it does not sanction inheritance across exceptional subclasses. In this paper we propose an extension to System Z+ that rectifies this shortcoming by extracting additional conditions between worlds from the defaults database. We show that the additional constraints do not change the notion of the consistency of a database. We also make comparisons with competing default reasoning systems.

Cite

@article{arxiv.1302.6848,
  title  = {Exceptional Subclasses in Qualitative Probability},
  author = {Sek-Wah Tan},
  journal= {arXiv preprint arXiv:1302.6848},
  year   = {2013}
}

Comments

Appears in Proceedings of the Tenth Conference on Uncertainty in Artificial Intelligence (UAI1994)

R2 v1 2026-06-21T23:33:41.863Z