Reference : On the Entailment Problem for a Logic of Typicality |
Scientific congresses, symposiums and conference proceedings : Paper published in a book | |||
Engineering, computing & technology : Computer science | |||
http://hdl.handle.net/10993/23776 | |||
On the Entailment Problem for a Logic of Typicality | |
English | |
Booth, Richard ![]() | |
Casini, Giovanni ![]() | |
Meyer, Thomas ![]() | |
Varzinczak, Ivan ![]() | |
2015 | |
Proceedings of the TwentyFourth International Joint Conference on Artificial Intelligence. Buenos Aires, Argentina, 25–31 July 2015 | |
Yang, Qiang | |
Wooldridge, Michael | |
AAAI Press | |
2805-2811 | |
Yes | |
International | |
978-1-57735-738-4 | |
Palo Alto | |
California, USA | |
24th International Joint Conference on Artificial Intelligence | |
from 25-07-2015 to 31-07-2015 | |
Buenos Aires | |
Argentina | |
[en] typicality ; nonmonotonic reasoning ; uncertain reasoning | |
[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. | |
FNR and Marie Curie Actions of the European Commission | |
Subjective and Objective Uncertainty in Description Logics (SOUL) | |
Researchers | |
http://hdl.handle.net/10993/23776 | |
FnR ; FNR9181001 > Giovanni Casini > > Subjective and Objective Uncertainty in Description Logics > 01/07/2015 > 30/06/2017 > 2014 |
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