Geodesic
The Infinite-Valued Łukasiewicz Logic and Probability
Bulletin of the Section of Logic, Tome 46 (2017) no. 1-2
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The paper concerns the algebraic structure of the set of cumulative distribution functions as well as the relationship between the resulting algebra and the infinite-valued Łukasiewicz algebra. The paper also discusses interrelations holding between the logical systems determined by the above algebras.
Keywords: probability, cumulative distribution function, the infinite-valued standard Łukasiewicz algebra, consequence relation 
@article{BSL_2017_46_1-2_a7,
     author = {Czelakowski, Janusz},
     title = {The {Infinite-Valued} {{\L}ukasiewicz} {Logic} and {Probability}},
     journal = {Bulletin of the Section of Logic},
     year = {2017},
     volume = {46},
     number = {1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2017_46_1-2_a7/}
}
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Czelakowski, Janusz. The Infinite-Valued Łukasiewicz Logic and Probability. Bulletin of the Section of Logic, Tome 46 (2017) no. 1-2. http://geodesic.mathdoc.fr/item/BSL_2017_46_1-2_a7/