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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Reflections about Reflection.

Authors: ATTARDI, GIUSEPPE; SIMI, MARIA;

Reflections about Reflection.

Abstract

In the line of a syntactic treatment of modalities, many proposals have been presented consisting in an extension of a logic calculus with ameta-language for expressing facts about terms and sentences, and with an axiomatization of provability. These proposals differ in the use of the inference rules used to link the object level and meta-level theories; the formulation of these reflection rules is crucial since it affects the consistency of the extended calculus. We argue that reflection rules resulting in a conservative extension are too weak. On the other hand, well known results show that nonconservative extensions often run into paradoxes. We propose a non conservative extension where useful theorems can be proved while consistency is retained.

Country
Italy
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Keywords

knowledge representation; formal logic; metalevel and reflection

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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