On uniform belief revision
Autor: | Theofanis I. Aravanis |
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Rok vydání: | 2020 |
Předmět: |
Arts and Humanities (miscellaneous)
Logic Hardware and Architecture Computer science 020204 information systems 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing 02 engineering and technology Belief revision Software Theoretical Computer Science Epistemology |
Zdroj: | Journal of Logic and Computation. 30:1357-1376 |
ISSN: | 1465-363X 0955-792X |
DOI: | 10.1093/logcom/exaa058 |
Popis: | Rational belief-change policies are encoded in the so-called AGM revision functions, defined in the prominent work of Alchourrón, Gärdenfors and Makinson. The present article studies an interesting class of well-behaved AGM revision functions, called herein uniform-revision operators (or UR operators, for short). Each UR operator is uniquely defined by means of a single total preorder over all possible worlds, a fact that in turn entails a significantly lower representational cost, relative to an arbitrary AGM revision function, and an embedded solution to the iterated-revision problem, at no extra representational cost. Herein, we first demonstrate how weaker, more expressive—yet, more representationally expensive—types of uniform revision can be defined. Furthermore, we prove that UR operators, essentially, generalize a significant type of belief change, namely, parametrized-difference revision. Lastly, we show that they are (to some extent) relevance-sensitive, as well as that they respect the so-called principle of kinetic consistency. |
Databáze: | OpenAIRE |
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