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\end{exercise}
\begin{exercise}
+ \label{ex:succinctness}
In this exercise we prove that PLTL formulas can be exponentially more succinct.
The proof followed here is that of \citet{Markey2003} which, in turn, is based on work by \citet{Etessami2002}.
The proof is achieved by giving an example of a formula which can be expressed in $\mathcal O(n)$ in PLTL but requires $\Omega(n)$ in LTL.