A logical framework for default reasoning
Artificial Intelligence
Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
Propositional knowledge base revision and minimal change
Artificial Intelligence
Handbook of logic in artificial intelligence and logic programming (vol. 3)
Infobase Change: A First Approximation
Journal of Logic, Language and Information
Belief revision in a framework for default reasoning
Proceedings of the Workshop on The Logic of Theory Change
Belief liberation (and retraction)
Proceedings of the 9th conference on Theoretical aspects of rationality and knowledge
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Traditional accounts of belief change have been criticised for placing undue emphasis on the new belief provided as input. A recent proposal to address such issues is the framework of Ghose and Goebel for non-prioritised belief change based on default theories [8]. A novel feature of this approach is the introduction of disbeliefs alongside beliefs which allows for a view of belief contraction as independently useful, instead of just being seen as an intermediate step in the process of belief revision. The Ghose-Goebel approach is, however, restrictive in assuming a linear ordering of reliability on the received inputs. In this paper, we extend the Ghose-Goebel framework by replacing the linear ordering with a preference ranking on inputs from which a total preorder on inputs can be induced. This extension brings along with it the problem of dealing with inputs of equal rank, a situation that cannot occur in the Ghose-Goebel setup. We provide a semantic solution to this problem which contains, as a special case, AGM belief change on closed theories.