MoL-2013-20: Non-well founded semantics for belief revision

MoL-2013-20: Aguilera., Cecilia Chávez (2013) Non-well founded semantics for belief revision. [Report]

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Abstract

Among the literature in belief revision, we can roughly classify it
between two main approaches. The classical approach represented in AGM
theory, based on a first order logic, suitable for static revision of
factual information. And the DEL approach, appropriate for multi-agent
learning actions and revision of higher order beliefs.

A fusion of the above mentioned theories, can be found in the Baltag
and Smets approach. The advantages of the previous approaches, is
taken into account here, systematizing several fine-grained
distinctions into a unified framework, and the changes induced by the
learning actions are emphasized.

One of the advantages of having a unified systematic framework is that
it sheds light over the specific needs of the logic we want to work
with, both at the syntactic and the semantic level. Two of them are
the need of taking into account infinitary logics, and the
consideration of non-well founded orders in the models used.

Infinitary examples of belief revision are not unusual. The
Consecutive numbers puzzle and others are a sample of this. Belief
revision seen as a learning method requires non- well founded
orders. However, non of these features have received enough attention.

A non-well founded set semantics seems to us a suitable mean to create
a framework which take care of these aspects. Moreover, the links
between modal logics and non-well founded sets have received few
attention, notwithstanding, the research in this field has shown it is
an area worthy to keep studying. In this thesis we give a non-well
founded set semantics for the logic L_K◻ and L∞_K◻ developed by Baltag
and Smets.

Item Type:	Report
Report Nr:	MoL-2013-20
Series Name:	Master of Logic Thesis (MoL) Series
Year:	2013
Uncontrolled Keywords:	Logic; Language
Date Deposited:	12 Oct 2016 14:38
Last Modified:	12 Oct 2016 14:38
URI:	https://eprints.illc.uva.nl/id/eprint/909

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