Representing states in iterated belief revision

Fuente: arXiv
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Autore principale: Liberatore, Paolo
Natura: Preprint
Pubblicazione: 2023
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author Liberatore, Paolo
author_facet Liberatore, Paolo
contents Iterated belief revision requires information about the current beliefs. This information is represented by mathematical structures called doxastic states. Most literature concentrates on how to revise a doxastic state and neglects that it may exponentially grow. This problem is studied for the most common ways of storing a doxastic state. All four methods are able to store every doxastic state, but some do it in less space than others. In particular, the explicit representation (an enumeration of the current beliefs) is the more wasteful on space. The level representation (a sequence of propositional formulae) and the natural representation (a history of natural revisions) are more compact than it. The lexicographic representation (a history of lexicographic revision) is even more compact than them.
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id arxiv_https___arxiv_org_abs_2305_09200
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Representing states in iterated belief revision
Liberatore, Paolo
Artificial Intelligence
Iterated belief revision requires information about the current beliefs. This information is represented by mathematical structures called doxastic states. Most literature concentrates on how to revise a doxastic state and neglects that it may exponentially grow. This problem is studied for the most common ways of storing a doxastic state. All four methods are able to store every doxastic state, but some do it in less space than others. In particular, the explicit representation (an enumeration of the current beliefs) is the more wasteful on space. The level representation (a sequence of propositional formulae) and the natural representation (a history of natural revisions) are more compact than it. The lexicographic representation (a history of lexicographic revision) is even more compact than them.
title Representing states in iterated belief revision
topic Artificial Intelligence
url https://arxiv.org/abs/2305.09200