Probabilistic While Loop

Andreas Lochbihler 🌐

May 5, 2017

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.

Abstract

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

February 2, 2018

Added a proof that probabilistic conditioning can be implemented by repeated sampling. (revision 305867c4e911)

Topics

Theories of Probabilistic_While