In this brief note, I would like to suggest that it makes sense to reinterpret product update, as introduced by Baltag, Moss and Solecki, as a system to account for observations and metaobservations, where a meta-observation is an observation of an observation. Under this interpretation we also take products of action models with meta-action models. I deliberate on some possible consequences of this extension to the interpretation of product update.
@InProceedings{broersen:DagSemProc.09351.6, author = {Broersen, Jan M.}, title = {{Interpreting Product Update as Reasoning about Observations and Meta-Observations}}, booktitle = {Information processing, rational belief change and social interaction}, pages = {1--3}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2009}, volume = {9351}, editor = {Giacomo Bonanno and James Delgrande 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.09351.6}, URN = {urn:nbn:de:0030-drops-22333}, doi = {10.4230/DagSemProc.09351.6}, annote = {Keywords: Product update, agency, stit theory, knowingly doing} }
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