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\title{Probabilistic Noninterference}

\author{Andrei Popescu \hspace*{10ex} Johannes H\"{o}lzl}

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\begin{abstract}

We formalize a probabilistic noninterference for a multi-threaded language with
uniform scheduling, where probabilistic behaviour comes from both the scheduler
and the individual threads. We define notions probabilistic noninterference 
in two variants: resumption-based and trace-based. For the resumption-based notions, 
we prove compositionality w.r.t.\ the language constructs and establish sound
type-system-like syntactic criteria.  

This is a formalization of the mathematical development presented in the
papers~\cite{cpp2013,calco2013}. It is the probabilistic variant of the 
\href{http://isa-afp.org/entries/Possibilistic_Noninterference.shtml}{Possibilistic Noninterference}
AFP entry.

\end{abstract}


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