--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/tphols-2011/generated/root.aux	Mon Jan 24 11:29:55 2011 +0000
@@ -0,0 +1,25 @@
+\relax 
+\ifx\hyper@anchor\@undefined
+\global \let \oldcontentsline\contentsline
+\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
+\global \let \oldnewlabel\newlabel
+\gdef \newlabel#1#2{\newlabelxx{#1}#2}
+\gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
+\AtEndDocument{\let \contentsline\oldcontentsline
+\let \newlabel\oldnewlabel}
+\else
+\global \let \hyper@last\relax 
+\fi
+
+\@writefile{toc}{\contentsline {section}{\numberline {1}Preliminary definitions}{1}{section.1}}
+\@writefile{toc}{\contentsline {section}{\numberline {2}Direction \emph  {\it  finite\ partition\ {\emph  {$\Rightarrow $}}\ regular\ language}}{5}{section.2}}
+\newlabel{example_eqns}{{1}{5}{Direction \isa {finite\ partition\ {\isasymRightarrow }\ regular\ language}\relax }{equation.1}{}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Proof for this direction}{9}{subsection.2.1}}
+\@writefile{toc}{\contentsline {section}{\numberline {3}Direction: \emph  {\it  regular\ language\ {\emph  {$\Rightarrow $}}finite\ partition}}{21}{section.3}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}The scheme for this direction}{21}{subsection.3.1}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}A small theory for list difference}{22}{subsection.3.2}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Lemmas for basic cases}{23}{subsection.3.3}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.4}The case for \emph  {\it  SEQ}}{24}{subsection.3.4}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.5}The case for \emph  {\it  ALT}}{26}{subsection.3.5}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.6}The case for \emph  {\it  STAR}}{27}{subsection.3.6}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {3.7}The main lemma}{29}{subsection.3.7}}