Bridging learning theory and dynamic epistemic logic

Synthese 169 (2):371-384 (2009)
Abstract
This paper discusses the possibility of modelling inductive inference (Gold 1967) in dynamic epistemic logic (see e.g. van Ditmarsch et al. 2007). The general purpose is to propose a semantic basis for designing a modal logic for learning in the limit. First, we analyze a variety of epistemological notions involved in identification in the limit and match it with traditional epistemic and doxastic logic approaches. Then, we provide a comparison of learning by erasing (Lange et al. 1996) and iterated epistemic update (Baltag and Moss 2004) as analyzed in dynamic epistemic logic. We show that finite identification can be modelled in dynamic epistemic logic, and that the elimination process of learning by erasing can be seen as iterated belief-revision modelled in dynamic doxastic logic. Finally, we propose viewing hypothesis spaces as temporal frames and discuss possible advantages of that perspective.
Keywords Identification in the limit  Learning by erasing  Finite identifiability  Dynamic epistemic logic  Belief revision
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    References found in this work BETA
    Jaakko Hintikka (1962). Knowledge and Belief. Ithaca, N.Y.,Cornell University Press.
    Citations of this work BETA
    Tomohiro Hoshi (2010). Merging DEL and ETL. Journal of Logic, Language and Information 19 (4):413-430.
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