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\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}
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