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  Representation theorems for multiple belief changes (1997) [9 citations — 8 self]

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by Dongmo Zhang, Shifu Chen, Wujia Zhu, Zhaoqian Chen
in:Proc. 15th Int. Joint Conf. on Artificial Intelligence (IJCAI’97
http://www.cse.unsw.edu.au/~dongmo/ijcai971.ps
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Abstract:

This paper aims to develop further and systemize the theory of multiple belief change based on the previous work on the package contraction, developed by [Fuhrmann and Hansson 1994] and the general belief changes, developed by [Zhang 1996]. Two main representation the-orems for general contractions are given, one is based on partial meet models and the other on nice-ordered partition models. An additional principle, called Limit Postulate, for the general belief changes is introduced which specifies properties of infinite belief changes. The results of this paper provides a foundation for investigating the connection between infinite nonmonotonic reasoning and multiple belief revi-sion.

Citations

133 Revisions of knowledge systems using epistemic entrenchment – Gärdenfors, Makinson - 1988
122 Belief Revision – Gärdenfors, Rott - 1995
82 Nonmonotonic inference based on expectations – Gardenfors, Makinson - 1994
71 Relations between the logic of theory change and nonmonotonic logic – Makinson, Gardenfors
35 Syntax based approaches to belief revision – Nebel - 1992
33 On the logic of theory change: Partial meet contraction and revision functions – Alchourr��n, G��rdenfors, et al. - 1985
24 Nonmonotonic inference based on expectations – Girdenfors, Makinson - 1994
21 A survey of multiple contractions – Fuhrmann, Hansson - 1994
20 Belief revision in a framework for default reasoning – Brewka - 1991
16 Belief Revision – Grdenfors - 1992
14 A dyadic representation of belief – Hansson - 1992
12 Revisions of Knowledge Systems using Epistemic Entrenchment – Grdenfors, Makinson - 1988
7 Multiple contraction: A further case against Gärdenfors’ principle of recovery – Niederee - 1991
5 Modellings for Belief Change: Base Contraction, Multiple Contraction and Epistemic Entrenchment (Preliminary Report – Rott - 1992
4 Belief revision by sets of sentences – Dongmo - 1996
3 A general framework for belief revision, in – Zhang - 1995
1 Multiple contraction: a further case against Grdenfors' principle of recovery – Nieder - 1991
1 Wujia Zhu and Hongbing Li, Nonmonotonic reasoning and multiple belief revision, this volume – Zhang, Chen
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