The axiomatization of randomness

Journal of Symbolic Logic 55 (3):1143-1167 (1990)
We present a faithful axiomatization of von Mises' notion of a random sequence, using an abstract independence relation. A byproduct is a quantifier elimination theorem for Friedman's "almost all" quantifier in terms of this independence relation
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DOI 10.2307/2274480
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Antonín Kučera (1993). On Relative Randomness. Annals of Pure and Applied Logic 63 (1):61-67.
Gérard G. Emch (2005). Probabilistic Issues in Statistical Mechanics. Studies in History and Philosophy of Science Part B 36 (2):303-322.

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