diff --git a/APCCM2017_Stanger.tex b/APCCM2017_Stanger.tex index db8febd..d0a92f5 100644 --- a/APCCM2017_Stanger.tex +++ b/APCCM2017_Stanger.tex @@ -610,7 +610,7 @@ Informally, \(\LS\) and \(\NLS\) contain details of London and non-London suppliers, respectively. They represent disjoint restrictions of \(S\) with the same heading, and have the following tuple types: \begin{align} - \TT{\LS} &= \Type{\Sno} \times \Type{\Sname} \times \Type{\LS} \times \CityLondon \nonumber \\ + \TT{\LS} &= \Type{\Sno} \times \Type{\Sname} \times \Type{\Status} \times \CityLondon \nonumber \\ \TT{\NLS} &= \Type{\Sno} \times \Type{\Sname} \times \Type{\Status} \times (\TCityMinusLondon) \nonumber \end{align} @@ -1099,7 +1099,7 @@ }; }; \end{tikzpicture} - \caption{SIG for transformed schema \(S_{3}'\) after duplicating \Type{\LS} and \TT{\LS} to produce analogues of the additional nodes in \(S_{1}\). Inputs to the transformations are coloured \textcolor{blue}{blue}, outputs are coloured \textcolor{red}{red}. [\(\equiv\)]} + \caption{SIG for transformed schema \(\SC{3}'\) after duplicating \Type{\LS} and \TT{\LS} to produce analogues of the additional nodes in \(\SC{1}\). Inputs to the transformations are coloured \textcolor{blue}{blue}, outputs are coloured \textcolor{red}{red}. [\(\equiv\)]} \label{fig-transform-all-duplicates} \end{figure*} @@ -1192,7 +1192,7 @@ }; }; \end{tikzpicture} - \caption{SIG for transformed schema \(S_{3}'\) after copying and moving various edges. [\(\preceq\)]} + \caption{SIG for transformed schema \(\SC{3}'\) after copying and moving various edges. [\(\preceq\)]} \label{fig-transform-edge-moves} \end{figure*}