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19 lines
799 B
19 lines
799 B
\item \lect Given are the truth tables for the propositional logic formulas $\varphi$ and $\psi$.
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Determine whether it holds that $\varphi \models \psi$, $\psi \models \varphi$, or neither.
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\begin{center}
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\begin{tabular}{ | c | c | c | c | c | c | }
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\hline
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$p$&$q$&$r$&$\varphi$ & $\psi$\\
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\hline
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\textbf{F} &\textbf{F} &\textbf{F} & F & F \\
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\textbf{F} &\textbf{F} &\textbf{T} & T & T \\
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\textbf{F} &\textbf{T} &\textbf{F} & F & F \\
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\textbf{F} &\textbf{T} &\textbf{T} & T & T \\
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\textbf{T} &\textbf{F} &\textbf{F} & F & F \\
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\textbf{T} &\textbf{F} &\textbf{T} & F & T \\
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\textbf{T} &\textbf{T} &\textbf{F} & T & T \\
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\textbf{T} &\textbf{T} &\textbf{T} & T & T \\
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\hline
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\end{tabular}
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\end{center}
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