\item \self Consider the propositional formula $\phi = (\lnot(\lnot a
    \land b) \land \lnot c)$. Fill out the truth table for $\phi$ 
    and its subformulas. Compute a CNF as well as a DNF for $\phi$ from
    the truth table.

\begin{tabular}{|c|c|c||c|c|c|c||c|}
\hline
$a$&$b$&$c$&$\lnot a$&$\lnot a \land b$&$\lnot(\lnot a \land b)$&$\lnot c$&$\phi = (\lnot(\lnot a \land b) \land \lnot c)$\\
\hline
\hline
\textbf{F} &\textbf{F} &\textbf{F} & & & & &\\
\hline
\textbf{F} &\textbf{F} &\textbf{T} & & & & &\\
\hline
\textbf{F} &\textbf{T} &\textbf{F} & & & & &\\
\hline
\textbf{F} &\textbf{T} &\textbf{T} & & & & &\\
\hline
\textbf{T} &\textbf{F} &\textbf{F} & & & & &\\
\hline
\textbf{T} &\textbf{F} &\textbf{T} & & & & &\\
\hline
\textbf{T} &\textbf{T} &\textbf{F} & & & & &\\
\hline
\textbf{T} &\textbf{T} &\textbf{T} & & & & &\\
\hline
\end{tabular}