Some remarks on ultrafilter and normality logics

Studia Logica 73 (2):197 - 207 (2003)
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Abstract

The paper presents the main ideas of Ultrafilter Logic (UL), as introduced by Veloso and others. A new proposal, Normality Logic (NL), is outlined for expanding the expressive power of UL. The system NL appears to offer a simpler solution to the problem of expressive power than the sorting strategy of Carnielli and Veloso. Interpretations of NL are discussed and an important point of contact to Hansson's notion of non-prioritized belief revision is observed.

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André Fuhrmann
Goethe University Frankfurt

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References found in this work

A logic for default reasoning.Ray Reiter - 1980 - Artificial Intelligence 13 (1-2):81-137.
A logical framework for default reasoning.David Poole - 1988 - Artificial Intelligence 36 (1):27-47.
Semi-revision.Sven Hansson - 1997 - Journal of Applied Non-Classical Logics 7 (1-2):151-175.
When hyperpropositions meet .André Fuhrmann - 1999 - Journal of Philosophical Logic 28 (6):559 - 574.

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