diff --git a/docs/constructions.tex b/docs/constructions.tex index 4dc0a2910c9b7ca43af2de1ac504a1b23e6ba972..eceb03316643585a2ee0c4b72ebe51d8a1645982 100644 --- a/docs/constructions.tex +++ b/docs/constructions.tex @@ -386,7 +386,7 @@ We first lift the transition relation to $\STSS \times \wp(\STST)$ (implementing We further define \emph{closed} sets of states (given a particular set of tokens) as well as the \emph{closure} of a set: \begin{align*} -\STSclsd(S, T) \eqdef{}& \All s \in S. \STSL(s) \disj T \land \All s'. s \stsfstep{T} s' \Ra s' \in S \\ +\STSclsd(S, T) \eqdef{}& \All s \in S. \STSL(s) \disj T \land \left(\All s'. s \stsfstep{T} s' \Ra s' \in S\right) \\ \upclose(S, T) \eqdef{}& \setComp{ s' \in \STSS}{\Exists s \in S. s \stsftrans{T} s' } \end{align*}