Title
Proving uniformity and independence by self-composition and coupling.
Abstract
Proof by coupling is a classical proof technique for establishing probabilistic properties of two probabilistic processes, like stochastic dominance and rapid mixing of Markov chains. More recently, couplings have been investigated as a useful abstraction for formal reasoning about relational properties of probabilistic programs, in particular for modeling reduction-based cryptographic proofs and for verifying differential privacy. In this paper, we demonstrate that probabilistic couplings can be used for verifying non-relational probabilistic properties. Specifically, we show that the program logic pRHL---whose proofs are formal versions of proofs by coupling---can be used for formalizing uniformity and probabilistic independence. We formally verify our main examples using the EasyCrypt proof assistant.
Year
Venue
DocType
2017
LPAR
Conference
Volume
Citations 
PageRank 
abs/1701.06477
6
0.44
References 
Authors
0
5
Name
Order
Citations
PageRank
Gilles Barthe12337152.36
Thomas Espitau260.44
Benjamin Grégoire381748.93
Justin Hsu436424.38
Pierre-Yves Strub554029.87