Abstract
In this paper we shall extend the results in [Paris and Vencovská, 1990] and [Paris, 1999] on common sense belief formation from (finite) knowledge bases of linear probabilistic constraints to include also the case of polynomial non-linear constraints and in particular constraints expressing stochastic independence. Indeed our results will be seen to extend to entirely general sets of constraints provided their solution sets are closed.
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Paris, J.B., Vencovská, A. (2001). Common Sense and Stochastic Independence. In: Corfield, D., Williamson, J. (eds) Foundations of Bayesianism. Applied Logic Series, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1586-7_9
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DOI: https://doi.org/10.1007/978-94-017-1586-7_9
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