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26 lines
769 B
26 lines
769 B
\item \lect Consider the propositional formula $\varphi = (p \wedge q)
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\rightarrow (q \vee \neg r)$. Fill out the truth table for $\varphi$ and its
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subformulas.
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\begin{tabular}{|c|c|c||c|c|c||c|}
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\hline
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$p$&$q$&$r$&$p\wedge q$&$\neg r$&$q \vee \neg r$&$\varphi = (p \wedge q)\rightarrow (q \vee \neg r)$\\
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\hline
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\hline
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\textbf{F} &\textbf{F} &\textbf{F} & & & & \\
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\hline
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\textbf{F} &\textbf{F} &\textbf{T} & & & & \\
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\hline
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\textbf{F} &\textbf{T} &\textbf{F} & & & & \\
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\hline
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\textbf{F} &\textbf{T} &\textbf{T} & & & & \\
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\hline
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\textbf{T} &\textbf{F} &\textbf{F} & & & & \\
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\hline
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\textbf{T} &\textbf{F} &\textbf{T} & & & & \\
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\hline
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\textbf{T} &\textbf{T} &\textbf{F} & & & & \\
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\hline
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\textbf{T} &\textbf{T} &\textbf{T} & & & & \\
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\hline
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\end{tabular}
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