Semantic structures for belief revision and iterated belief revision are proposed. We start with one-stage revision structures that generalize the notion of choice function from rational choice theory. A correspondence between these one-stage structures and AGM belief revision functions is established. We then add branching time and consider more general structures that accommodate iterated revision. AGM temporal belief revision structures are defined and a syntactic axiomatization is provided.
@InProceedings{bonanno:DagSemProc.07351.20, author = {Bonanno, Giacomo}, title = {{Semantic structures for one-stage and iterated belief revision}}, booktitle = {Formal Models of Belief Change in Rational Agents}, pages = {1--14}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2007}, volume = {7351}, editor = {Giacomo Bonanno and James Delgrande and J\'{e}r\^{o}me Lang and Hans Rott}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.07351.20}, URN = {urn:nbn:de:0030-drops-12052}, doi = {10.4230/DagSemProc.07351.20}, annote = {Keywords: Iterated belief revision, choice functions, Kripke semantics, branching time, modal logic} }
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