HAL : hal-00005232, version 6

arXiv : cs/0506030

DOI : 10.1093/logcom/exi013

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Journal of Logic and Computation 15 (2005) number 3, pp. 263-294

Versions disponibles :

v1 (09-06-2005)

v6 (08-04-2007)

Preferential and Preferential-discriminative Consequence relations

Jonathan Ben-Naim 1

(2005)

The present paper investigates consequence relations that are both non-monotonic and paraconsistent. More precisely, we put the focus on preferential consequence relations, i.e. those relations that can be defined by a binary preference relation on states labelled by valuations. We worked with a general notion of valuation that covers e.g. the classical valuations as well as certain kinds of many-valued valuations. In the many-valued cases, preferential consequence relations are paraconsistant (in addition to be non-monotonic), i.e. they are capable of drawing reasonable conclusions which contain contradictions. The first purpose of this paper is to provide in our general framework syntactic characterizations of several families of preferential relations. The second and main purpose is to provide, again in our general framework, characterizations of several families of preferential discriminative consequence relations. They are defined exactly as the plain version, but any conclusion such that its negation is also a conclusion is rejected (these relations bring something new essentially in the many-valued cases).

1 :	Laboratoire d'informatique Fondamentale de Marseille (LIF)
	CNRS : UMR6166 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I

Domaine

:

Informatique/Intelligence artificielle Informatique/Logique en informatique

Mots Clés : preferential logics – non-monotonic logics – many-valued logics – paraconsistent logics

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Contributeur : Jonathan Ben-Naim <>

Soumis le : Dimanche 8 Avril 2007, 09:19:58

Dernière modification le : Dimanche 8 Avril 2007, 17:04:14