diff --git a/docs/constructions.tex b/docs/constructions.tex index 30d4807c58f05b84caa67b7cdb41e21841ca2dfb..e7607889b4b425cf59597252ded7b15296ab9112 100644 --- a/docs/constructions.tex +++ b/docs/constructions.tex @@ -256,7 +256,7 @@ We obtain the following frame-preserving update: \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 $x$. +Given a CMRA $M$, we construct $\authm(M)$ modeling someone owning an \emph{authoritative} element $\melt$ of $M$, and others potentially owning fragments $\meltB \mincl \melt$ of $\melt$. We assume that $M$ has a unit $\munit$, and hence its core is total. (If $M$ is an exclusive monoid, the construction is very similar to a half-ownership monoid with two asymmetric halves.) \begin{align*}