(2005) Synthese 146 (1-2).
Probabilistic logic under coherence, conditional interpretations, and default reasoning
Angelo Gilio
pp. 139-152
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.
Publication details
DOI: 10.1007/s11229-005-9080-y
Full citation:
Gilio, A. (2005). Probabilistic logic under coherence, conditional interpretations, and default reasoning. Synthese 146 (1-2), pp. 139-152.
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