@@ -253,7 +253,8 @@ We obtain the following frame-preserving update:
% \end{proof}
\subsection{Authoritative}\label{sec:auth}
\subsection{Authoritative}
\label{sec:auth-cmra}
Given a CMRA $M$, we construct a monoid $\authm(M)$ modeling someone owning an \emph{authoritative} element $x$ of $M$, and others potentially owning fragments $\melt\le_M x$ of $x$.
We assume that $M$ has a unit $\munit$, and hence its core is total.
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@@ -286,7 +287,7 @@ We then obtain
\end{mathpar}
\subsection{STS with tokens}
\label{sec:stsmon}
\label{sec:sts-cmra}
Given a state-transition system~(STS, \ie a directed graph) $(\STSS, {\stsstep}\subseteq\STSS\times\STSS)$, a set of tokens $\STST$, and a labeling $\STSL: \STSS\ra\wp(\STST)$ of \emph{protocol-owned} tokens for each state, we construct an RA modeling an authoritative current state and permitting transitions given a \emph{bound} on the current state and a set of \emph{locally-owned} tokens.
