Commit 319294f4 authored by George Katsirelos's avatar George Katsirelos
Browse files

shorten complexity section

parent 633e709a
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......@@ -3954,7 +3954,7 @@ On a $c(T) \leq c(H^*)$
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Languages}
\begin{frame}{Languages}
\begin{block}{Language}
A language $\mathcal{L}$ is an infinite set of strings
\end{block}
......@@ -4032,6 +4032,7 @@ On a $c(T) \leq c(H^*)$
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\shrink{
\begin{frame}{Computational models}
In order to define computational properties, we need an abstract
machine model on which we can measure resource use
......@@ -4180,6 +4181,7 @@ On a $c(T) \leq c(H^*)$
problems.
\end{frame}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Algorithmic complexity}
......@@ -4220,7 +4222,8 @@ On a $c(T) \leq c(H^*)$
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{P-Completeness}
\shrink{
\begin{frame}{P-Completeness}
\begin{block}{Class $P$}
Languages recognized in polynomial time in the RAM model
\end{block}
......@@ -4251,7 +4254,7 @@ On a $c(T) \leq c(H^*)$
connected?
\end{block}
\end{frame}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{NP}
\begin{block}{Informal definition}
......@@ -4389,7 +4392,8 @@ On a $c(T) \leq c(H^*)$
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Function Problems}
\shrink{
\begin{frame}{Function Problems}
\begin{itemize}
\item P, NP contain only \emph{decision} problems. Functions
belong to $FP$ or $FNP$.
......@@ -4434,6 +4438,7 @@ On a $c(T) \leq c(H^*)$
\begin{frame}{Complexity Classes}
\includegraphics[width=\textwidth]{complexity-classes}
\end{frame}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}{Dealing with NP-completeness}
......
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