You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
26 lines
833 B
26 lines
833 B
\item \lect Consider the propositional formula $\varphi = (p \wedge q)
|
|
\rightarrow (q \vee \neg r)$. Fill out the truth table for $\varphi$ and its
|
|
subformulas.
|
|
|
|
\begin{tabular}{|c|c|c||c|c|c||c|}
|
|
\hline
|
|
$p$&$q$&$r$&$p\wedge q$&$\neg r$&$q \vee \neg r$&$\varphi = (p \wedge q)\rightarrow (q \vee \neg r)$\\
|
|
\hline
|
|
\hline
|
|
\textbf{F} &\textbf{F} &\textbf{F} & F & T & T & T \\
|
|
\hline
|
|
\textbf{F} &\textbf{F} &\textbf{T} & F & F & F & T \\
|
|
\hline
|
|
\textbf{F} &\textbf{T} &\textbf{F} & F & T & T & T \\
|
|
\hline
|
|
\textbf{F} &\textbf{T} &\textbf{T} & F & F & T & T \\
|
|
\hline
|
|
\textbf{T} &\textbf{F} &\textbf{F} & F & T & T & T \\
|
|
\hline
|
|
\textbf{T} &\textbf{F} &\textbf{T} & F & F & F & T \\
|
|
\hline
|
|
\textbf{T} &\textbf{T} &\textbf{F} & T & T & T & T \\
|
|
\hline
|
|
\textbf{T} &\textbf{T} &\textbf{T} & T & F & T & T \\
|
|
\hline
|
|
\end{tabular}
|