Relational Reasoning via Probabilistic Coupling

@inproceedings{Barthe2015RelationalRV,
  title={Relational Reasoning via Probabilistic Coupling},
  author={Gilles Barthe and Thomas Espitau and Benjamin Gr{\'e}goire and Justin Hsu and L{\'e}o Stefanesco and Pierre-Yves Strub},
  booktitle={LPAR},
  year={2015}
}
Probabilistic coupling is a powerful tool for analyzing pairs of probabilistic processes. Roughly, coupling two processes requires finding an appropriate witness process that models both processes in the same probability space. Couplings are powerful tools proving properties about the relation between two processes, include reasoning about convergence of distributions and stochastic dominance---a probabilistic version of a monotonicity property. While the mathematical definition of coupling… 
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