Commit 05845cc3 authored by Ralf Jung's avatar Ralf Jung

fix some typos

parent c843c873
......@@ -84,12 +84,12 @@ Furthermore, we assume that instances named $\gname_{\textmon{State}}$, $\gname_
\paragraph{World Satisfaction.}
We can now define the assertion $W$ (\emph{world satisfaction}) which ensures that the enabled invariants are actually maintained:
\begin{align*}
W \eqdef{}& \Exists I : \mathbb N \fpfn \Prop. \ownGhost{\gname_{\textmon{Inv}}}{\authfull \aginj(\latertinj(\wIso(I)))} * \Sep_{\iname \in \dom(I)} \left( \later I(\iname) * \ownGhost{\gname_{\textmon{Dis}}}{\set{\iname}} \lor \ownGhost{\gname_{\textmon{En}}}{\set{\iname}} \right)
W \eqdef{}& \Exists I : \mathbb N \fpfn \Prop. \ownGhost{\gname_{\textmon{Inv}}}{\setComp{\iname \mapsto \authfull \aginj(\latertinj(\wIso(I(\iname))))}{\iname \in \dom(I)}} * \Sep_{\iname \in \dom(I)} \left( \later I(\iname) * \ownGhost{\gname_{\textmon{Dis}}}{\set{\iname}} \lor \ownGhost{\gname_{\textmon{En}}}{\set{\iname}} \right)
\end{align*}
\paragraph{Invariants.}
The following assertion states that an invariant with name $\iname$ exists and maintains assertion $\prop$:
\[ \knowInv\iname\prop \eqdef \ownGhost{\gname_{\textmon{Inv}}}{\authfrag \aginj(\latertinj(\wIso(\prop)))} \]
\[ \knowInv\iname\prop \eqdef \ownGhost{\gname_{\textmon{Inv}}}{\set{\iname \mapsto \authfrag \aginj(\latertinj(\wIso(\prop)))}} \]
\paragraph{View Shifts.}
Next, we define \emph{view updates}, which are essentially the same as the resource updates of the base logic ($\Sref{sec:base-logic}$), except that they also have access to world satisfaction and can enable and disable invariants:
......
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