David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 147 (2):229-275 (2005)
In ‘belief revision’ a theory is revised with a formula φ resulting in a revised theory . Typically, is in , one has to give up belief in by a process of retraction, and φ is in . We propose to model belief revision in a dynamic epistemic logic. In this setting, we typically have an information state (pointed Kripke model) for the theory wherein the agent believes the negation of the revision formula, i.e., wherein is true. The revision with φ is a program *φ that transforms this information state into a new information state. The transformation is described by a dynamic modal operator [*φ], that is interpreted as a binary relation [ [*φ] ] between information states. The next information state is computed from the current information state and the belief revision formula. If the revision is successful, the agent believes φ in the resulting state, i.e., Bφ is then true. To make this work, as information states we propose ‘doxastic epistemic models’ that represent both knowledge and degrees of belief. These are multi-modal and multi-agent Kripke models. They are constructed from preference relations for agents, and they satisfy various characterizable multi-agent frame properties. Iterated, revocable, and higher-order belief revision are all quite natural in this setting. We present, for an example, five different ways of such dynamic belief revision. One can also see that as a non-deterministic epistemic action with two alternatives, where one is preferred over the other, and there is a natural generalization to general epistemic actions with preferences.
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Hannes Leitgeb & Krister Segerberg (2007). Dynamic Doxastic Logic: Why, How, and Where To? Synthese 155 (2):167 - 190.
Alexandru Baltag & Sonja Smets (2008). Probabilistic Dynamic Belief Revision. Synthese 165 (2):179 - 202.
Brian Hill (2010). Awareness Dynamics. Journal of Philosophical Logic 39 (2):113 - 137.
Hans van Ditmarsch & Willem Labuschagne (2007). My Beliefs About Your Beliefs: A Case Study in Theory of Mind and Epistemic Logic. Synthese 155 (2):191-209.
Hans van Ditmarsch, Brian Hill & Ondrej Majer (2009). Logic of Change, Change of Logic. Synthese 171 (2):227-234.
Similar books and articles
Giacomo Bonanno (2008). Belief Revision in a Temporal Framework. In Krzysztof Apt & Robert van Rooij (eds.), New Perspectives on Games and Interaction. Amsterdam University Press.
Johan van Benthem (2007). Dynamic Logic for Belief Revision. Journal of Applied Non-Classical Logics 17 (2):129-155.
Gabriella Pigozzi, G. Boella, C. Costa Pereirdaa, A. Tettamanzi & and Leon van der Torre, Choosing Your Beliefs.
Kevin T. Kelly (1999). Iterated Belief Revision, Reliability, and Inductive Amnesia. Erkenntnis 50 (1):11-58.
Abhaya C. Nayak, Paul Nelson & Hanan Polansky (1996). Belief Change as Change in Epistemic Entrenchment. Synthese 109 (2):143 - 174.
Hans P. Van Ditmarsch (2005). Prolegomena to Dynamic Logic for Belief Revision. Synthese 147 (2):229 - 275.
Added to index2009-01-28
Total downloads11 ( #143,992 of 1,101,879 )
Recent downloads (6 months)0
How can I increase my downloads?