Title
Incompatibilities Between Iterated And Relevance-Sensitive Belief Revision
Abstract
The AGM paradigm for belief change, as originally introduced by Alchourron, Gardenfors and Makinson, lacks any guidelines for the process of iterated revision. One of the most influential work addressing this problem is Darwiche and Pearl's approach (DP approach, for short), which, despite its well-documented shortcomings, remains to this date the most dominant. In this article, we make further observations on the DP approach. In particular, we prove that the DP postulates are, in a strong sense, inconsistent with Parikh's relevance-sensitive axiom (P), extending previous initial conflicts. Immediate consequences of this result are that an entire class of intuitive revision operators, which includes Dalal's operator, violates the DP postulates, as well as that the Independence postulate and Spohn's conditionalization are inconsistent with axiom (P). The whole study, essentially, indicates that two fundamental aspects of the revision process, namely, iteration and relevance, are in deep conflict, and opens the discussion for a potential reconciliation towards a comprehensive formal framework for knowledge dynamics.
Year
DOI
Venue
2020
10.1613/jair.1.11871
JOURNAL OF ARTIFICIAL INTELLIGENCE RESEARCH
DocType
Volume
Issue
Journal
69
1
ISSN
Citations 
PageRank 
1076-9757
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Theofanis I. Aravanis100.34
Pavlos Peppas226531.74
Mary-anne Williams3953128.61