2015 • In Yang, Qiang; Wooldridge, Michael (Eds.) Proceedings of the TwentyFourth International Joint Conference on Artificial Intelligence. Buenos Aires, Argentina, 25–31 July 2015
[en] Propositional Typicality Logic (PTL) is a recently proposed logic, obtained by enriching classical
propositional logic with a typicality operator. In spite of the non-monotonic features introduced by
the semantics adopted for the typicality operator, the obvious Tarskian definition of entailment for
PTL remains monotonic and is therefore not appropriate. We investigate different (semantic) versions of entailment for PTL, based on the notion of Rational Closure as defined by Lehmann and Magidor
for KLM-style conditionals, and constructed using minimality. Our first important result is an impossibility theorem showing that a set of proposed postulates that at first all seem appropriate for a notion of entailment with regard to typicality cannot be satisfied
simultaneously. Closer inspection reveals that this result is best interpreted as an argument for advocating the development of more than one type of PTL entailment. In the spirit of this interpretation, we define two primary forms of entailment for PTL and discuss their advantages and disadvantages.
Casini, Giovanni ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Computer Science and Communications Research Unit (CSC)
Meyer, Thomas; University of Cape Town > Computer Science > Full professor
Varzinczak, Ivan; Universidade Federal do Rio de Janeiro
External co-authors :
yes
Language :
English
Title :
On the Entailment Problem for a Logic of Typicality
Publication date :
2015
Event name :
24th International Joint Conference on Artificial Intelligence
Event place :
Buenos Aires, Argentina
Event date :
from 25-07-2015 to 31-07-2015
Audience :
International
Main work title :
Proceedings of the TwentyFourth International Joint Conference on Artificial Intelligence. Buenos Aires, Argentina, 25–31 July 2015
Editor :
Yang, Qiang
Wooldridge, Michael
Publisher :
AAAI Press, Palo Alto, United States - California
ISBN/EAN :
978-1-57735-738-4
Pages :
2805-2811
Peer reviewed :
Peer reviewed
FnR Project :
FNR9181001 > Giovanni Casini > > Subjective and Objective Uncertainty in Description Logics > 01/07/2015 > 30/06/2017 > 2014
Name of the research project :
Subjective and Objective Uncertainty in Description Logics (SOUL)
Funders :
FNR and Marie Curie Actions of the European Commission
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