We study a probabilistic logic based on the coherence principle of de Finetti and a related notion of generalized coherence (g-coherence). We examine probabilistic conditional knowledge bases associated with imprecise probability assessments defined on arbitrary families of conditional events. We introduce a notion of conditional interpretation defined directly in terms of precise probability assessments. We also examine a property of strong satisfiability which is related to the notion of toleration well known in default reasoning. In our framework we give more general definitions of the notions of probabilistic consistency and probabilistic entailment of Adams. We also recall a notion of strict p-consistency and some related results. Moreover, we give new proofs of some results obtained in probabilistic default reasoning. Finally, we examine the relationships between conditional probability rankings and the notions of g-coherence and g-coherent entailment.

Probabilistic logic under coherence, conditional interpretations, and default reasoning / Gilio, Angelo. - In: SYNTHESE. - ISSN 0039-7857. - STAMPA. - 146:1-2(2005), pp. 139-152. [10.1007/s11229-005-9080-y]

Probabilistic logic under coherence, conditional interpretations, and default reasoning

GILIO, ANGELO
2005

Abstract

We study a probabilistic logic based on the coherence principle of de Finetti and a related notion of generalized coherence (g-coherence). We examine probabilistic conditional knowledge bases associated with imprecise probability assessments defined on arbitrary families of conditional events. We introduce a notion of conditional interpretation defined directly in terms of precise probability assessments. We also examine a property of strong satisfiability which is related to the notion of toleration well known in default reasoning. In our framework we give more general definitions of the notions of probabilistic consistency and probabilistic entailment of Adams. We also recall a notion of strict p-consistency and some related results. Moreover, we give new proofs of some results obtained in probabilistic default reasoning. Finally, we examine the relationships between conditional probability rankings and the notions of g-coherence and g-coherent entailment.
2005
conditional interpretations.; conditional knowledge bases; default reasoning; generalized coherence; imprecise probabilities; probabilistic logic
01 Pubblicazione su rivista::01a Articolo in rivista
Probabilistic logic under coherence, conditional interpretations, and default reasoning / Gilio, Angelo. - In: SYNTHESE. - ISSN 0039-7857. - STAMPA. - 146:1-2(2005), pp. 139-152. [10.1007/s11229-005-9080-y]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/94319
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