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1 \relax |
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2 \ifx\hyper@anchor\@undefined |
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3 \global \let \oldcontentsline\contentsline |
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4 \gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} |
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5 \global \let \oldnewlabel\newlabel |
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6 \gdef \newlabel#1#2{\newlabelxx{#1}#2} |
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7 \gdef \newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} |
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8 \AtEndDocument{\let \contentsline\oldcontentsline |
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9 \let \newlabel\oldnewlabel} |
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10 \else |
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11 \global \let \hyper@last\relax |
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12 \fi |
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13 |
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14 \@writefile{toc}{\contentsline {section}{\numberline {1}Preliminary definitions}{1}{section.1}} |
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15 \@writefile{toc}{\contentsline {section}{\numberline {2}Direction \emph {\it finite\ partition\ {\emph {$\Rightarrow $}}\ regular\ language}}{5}{section.2}} |
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16 \newlabel{example_eqns}{{1}{5}{Direction \isa {finite\ partition\ {\isasymRightarrow }\ regular\ language}\relax }{equation.1}{}} |
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17 \@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Proof for this direction}{9}{subsection.2.1}} |
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18 \@writefile{toc}{\contentsline {section}{\numberline {3}Direction: \emph {\it regular\ language\ {\emph {$\Rightarrow $}}finite\ partition}}{21}{section.3}} |
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19 \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}The scheme for this direction}{21}{subsection.3.1}} |
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20 \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}A small theory for list difference}{22}{subsection.3.2}} |
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21 \@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Lemmas for basic cases}{23}{subsection.3.3}} |
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22 \@writefile{toc}{\contentsline {subsection}{\numberline {3.4}The case for \emph {\it SEQ}}{24}{subsection.3.4}} |
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23 \@writefile{toc}{\contentsline {subsection}{\numberline {3.5}The case for \emph {\it ALT}}{26}{subsection.3.5}} |
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24 \@writefile{toc}{\contentsline {subsection}{\numberline {3.6}The case for \emph {\it STAR}}{27}{subsection.3.6}} |
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25 \@writefile{toc}{\contentsline {subsection}{\numberline {3.7}The main lemma}{29}{subsection.3.7}} |