Probabilistic While Loop

Andreas Lochbihler

5 May 2017


This AFP entry defines a probabilistic while operator based on sub-probability mass functions and formalises zero-one laws and variant rules for probabilistic loop termination. As applications, we implement probabilistic algorithms for the Bernoulli, geometric and arbitrary uniform distributions that only use fair coin flips, and prove them correct and terminating with probability 1.
BSD License

Change history

[2018-02-02] Added a proof that probabilistic conditioning can be implemented by repeated sampling. (revision 305867c4e911)

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