Commit fe66881e by Ralf Jung

### docs: fix V being about any CMRA; fix V's timeless axiom

parent 62299a95
 ... ... @@ -270,7 +270,7 @@ In writing $\vctx, x:\type$, we presuppose that $x$ is not already declared in $\infer{\vctx \proves \wtt{\melt}{\textlog{M}}} {\vctx \proves \wtt{\ownGGhost{\melt}}{\Prop}} \and \infer{\vctx \proves \wtt{\melt}{\textlog{M}}} \infer{\vctx \proves \wtt{\melt}{\type} \and \text{$\type$is a CMRA}} {\vctx \proves \wtt{\mval(\melt)}{\Prop}} \and \infer{\vctx \proves \wtt{\state}{\textlog{State}}} ... ... @@ -464,7 +464,7 @@ A type$\type$being \emph{inhabited} means that$ \proves \wtt{\term}{\type}$i {\timeless{\ownGGhost\melt}} \infer {\text{$\melt$is a discrete COFE element}} {\text{$\melt$is an element of a discrete CMRA}} {\timeless{\mval(\melt)}} \infer{} ... ...  ... ... @@ -40,8 +40,8 @@ We introduce an additional logical connective$\ownM\melt\$, which will later be \Lam \melt. \setComp{n}{\begin{aligned} \All m, \meltB.& m \leq n \land \melt\mtimes\meltB \in \mval_m \Ra {} \\ & m \in \Sem{\vctx \proves \prop : \Prop}_\gamma(\meltB) \Ra {}\\& m \in \Sem{\vctx \proves \propB : \Prop}_\gamma(\melt\mtimes\meltB)\end{aligned}} \\ \Sem{\vctx \proves \ownM{\melt} : \Prop}_\gamma &\eqdef \Lam\meltB. \setComp{n}{\melt \mincl[n] \meltB} \\ \Sem{\vctx \proves \mval(\melt) : \Prop}_\gamma &\eqdef \Lam\any. \setComp{n}{\melt \in \mval_n} \\ \Sem{\vctx \proves \ownM{\melt} : \Prop}_\gamma &\eqdef \Lam\meltB. \setComp{n}{\Sem{\vctx \proves \melt : \textlog{M}} \mincl[n] \meltB} \\ \Sem{\vctx \proves \mval(\melt) : \Prop}_\gamma &\eqdef \Lam\any. \setComp{n}{\Sem{\vctx \proves \melt : \type} \in \mval_n} \\ \end{align*} For every definition, we have to show all the side-conditions: The maps have to be non-expansive and monotone. ... ...
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