Computable de Finetti measures

Details Computable de Finetti measures Computable de Finetti measures

2009-12-06

arxiv.org/abs/0912.1072v2

Annals of Pure and Applied Logic 163 (2012) pp. 530-546

Mathematics

Logic

32 pages. Final journal version; expanded somewhat, with minor corrections. To appear in Annals of Pure and Applied Logic. Ext

Scientific paper

10.1016/j.apal.2011.06.011

We prove a computable version of de Finetti's theorem on exchangeable sequences of real random variables. As a consequence, exchangeable stochastic processes expressed in probabilistic functional programming languages can be automatically rewritten as procedures that do not modify non-local state. Along the way, we prove that a distribution on the unit interval is computable if and only if its moments are uniformly computable.

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