\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\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{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand*\HyPL@Entry[1]{}
\HyPL@Entry{0<</P(\376\377\0001)>>}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\HyPL@Entry{1<</P(\376\377\0002)>>}
\@writefile{toc}{\beamer@sectionintoc {1}{Introduction}{2}{0}{1}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{1}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{1}}}
\@writefile{nav}{\headcommand {\sectionentry {1}{Introduction}{2}{Introduction}{0}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{1}{2/2}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
\HyPL@Entry{2<</P(\376\377\0003)>>}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{2}{3/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\HyPL@Entry{3<</P(\376\377\0004)>>}
\newlabel{prop:lucases.a}{{1}{4}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {prop:lucases.a}{4}}
\newlabel{prop:lucases.b}{{2}{4}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {prop:lucases.b}{4}}
\newlabel{prop:lucases.c}{{3}{4}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {prop:lucases.c}{4}}
\newlabel{prop:lucases.d}{{4}{4}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {prop:lucases.d}{4}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{3}{4/4}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
\HyPL@Entry{4<</P(\376\377\0005)>>}
\@writefile{snm}{\beamer@slide {eq:prob.tc}{5}}
\newlabel{eq:prob.tc}{{1}{5}{Introduction}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{4}{5/5}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
\HyPL@Entry{5<</P(\376\377\0006)>>}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{5}{6/6}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}
\HyPL@Entry{6<</P(\376\377\0007)>>}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{6}{7/7}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}}
\HyPL@Entry{7<</P(\376\377\0008)>>}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{7}{8/8}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}}
\HyPL@Entry{8<</P(\376\377\0009)>>}
\@writefile{snm}{\beamer@slide {def:w.inconsistent}{9}}
\newlabel{def:w.inconsistent}{{2}{9}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {eq:prob.sm}{9}}
\newlabel{eq:prob.sm}{{3}{9}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {def:w.disj}{9}}
\newlabel{def:w.disj}{{4}{9}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {def:w.conj}{9}}
\newlabel{def:w.conj}{{5}{9}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {def:w.empty}{9}}
\newlabel{def:w.empty}{{6}{9}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {eq:def.prob}{9}}
\newlabel{eq:def.prob}{{7}{9}{Introduction}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {eq:def.prob.event}{9}}
\newlabel{eq:def.prob.event}{{8}{9}{Introduction}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{8}{9/9}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}}
\HyPL@Entry{9<</P(\376\377\0001\0000)>>}
\@writefile{toc}{\beamer@sectionintoc {2}{Cases \& Examples}{10}{0}{2}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {2}{9}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {2}{9}}}
\@writefile{nav}{\headcommand {\sectionentry {2}{Cases \& Examples}{10}{Cases \& Examples}{0}}}
\@writefile{toc}{\beamer@subsectionintoc {2}{1}{Programs with disjunctive heads}{10}{0}{2}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {10}{9}}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{2}{1}{10}{Programs with disjunctive heads}}}
\@writefile{nav}{\headcommand {\slideentry {2}{1}{1}{10/10}{Programs with disjunctive heads}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {10}{10}}}
\HyPL@Entry{10<</P(\376\377\0001\0001)>>}
\@writefile{nav}{\headcommand {\slideentry {2}{1}{2}{11/11}{Programs with disjunctive heads}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}}
\HyPL@Entry{11<</P(\376\377\0001\0002)>>}
\@writefile{nav}{\headcommand {\slideentry {2}{1}{3}{12/12}{Programs with disjunctive heads}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}}
\HyPL@Entry{12<</P(\376\377\0001\0003)>>}
\@writefile{nav}{\headcommand {\slideentry {2}{1}{4}{13/13}{Programs with disjunctive heads}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}}
\HyPL@Entry{13<</P(\376\377\0001\0004)>>}
\@writefile{toc}{\beamer@subsectionintoc {2}{2}{Non-stratified programs}{14}{0}{2}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {10}{13}}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{2}{2}{14}{Non-stratified programs}}}
\@writefile{nav}{\headcommand {\slideentry {2}{2}{1}{14/14}{Non-stratified programs}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}
\HyPL@Entry{14<</P(\376\377\0001\0005)>>}
\@writefile{nav}{\headcommand {\slideentry {2}{2}{2}{15/15}{Non-stratified programs}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
\HyPL@Entry{15<</P(\376\377\0001\0006)>>}
\@writefile{nav}{\headcommand {\slideentry {2}{2}{3}{16/16}{Non-stratified programs}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}
\HyPL@Entry{16<</P(\376\377\0001\0007)>>}
\@writefile{nav}{\headcommand {\slideentry {2}{2}{4}{17/17}{Non-stratified programs}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}}
\HyPL@Entry{17<</P(\376\377\0001\0008)>>}
\@writefile{toc}{\beamer@sectionintoc {3}{Conclusions}{18}{0}{3}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {10}{17}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {14}{17}}}
\@writefile{nav}{\headcommand {\sectionentry {3}{Conclusions}{18}{Conclusions}{0}}}
\@writefile{nav}{\headcommand {\slideentry {3}{0}{1}{18/18}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
\HyPL@Entry{18<</P(\376\377\0001\0009)>>}
\@writefile{nav}{\headcommand {\beamer@sectionpages {18}{18}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {18}{18}}}
\@writefile{nav}{\headcommand {\sectionentry {4}{ASP \& related definitions}{19}{ASP \& related definitions}{0}}}
\@writefile{nav}{\headcommand {\slideentry {4}{0}{1}{19/19}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{19}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {19}{19}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {19}{19}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {19}}}
\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {19}}}
\newlabel{TotPages}{{19}{19}{}{page.19}{}}
\gdef \@abspage@last{19}