Geodesic
Probability logics with vector-valued measures
Kragujevac Journal of Mathematics, Tome 32 (2009) no. 1

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Zbl
Probability logic introduced by this paper is based on probability logic $L_{\bbA P}$. Measure ranges in probability models will not be linearly ordered, more precisely, measures will be vector--valued, having ranges $ \mathbb{Q}^{n} \cap { [ 0,1 ]}^{n}$. Axioms and rules of inference are adjusted to determine these types of measures. The completeness theorem for the introduced logic is proved. 
Vladimir Ristić. Probability logics with vector-valued measures. Kragujevac Journal of Mathematics, Tome 32 (2009) no. 1. http://geodesic.mathdoc.fr/item/KJM_2009_32_1_a4/
@article{KJM_2009_32_1_a4,
     author = {Vladimir Risti\'c},
     title = {Probability logics with vector-valued measures},
     journal = {Kragujevac Journal of Mathematics},
     pages = {47 - 60},
     year = {2009},
     volume = {32},
     number = {1},
     zbl = {1199.03009},
     url = {http://geodesic.mathdoc.fr/item/KJM_2009_32_1_a4/}
}
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