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5 months ago
  1. \item \lect Given are the truth tables for the propositional logic formulas $\varphi$ and $\psi$.
  2. Determine whether it holds that $\varphi \models \psi$, $\psi \models \varphi$, or neither.
  3. \begin{center}
  4. \begin{tabular}{ | c | c | c | c | c | c | }
  5. \hline
  6. $p$&$q$&$r$&$\varphi$ & $\psi$\\
  7. \hline
  8. \textbf{F} &\textbf{F} &\textbf{F} & F & F \\
  9. \textbf{F} &\textbf{F} &\textbf{T} & T & T \\
  10. \textbf{F} &\textbf{T} &\textbf{F} & F & F \\
  11. \textbf{F} &\textbf{T} &\textbf{T} & T & T \\
  12. \textbf{T} &\textbf{F} &\textbf{F} & F & F \\
  13. \textbf{T} &\textbf{F} &\textbf{T} & F & T \\
  14. \textbf{T} &\textbf{T} &\textbf{F} & T & T \\
  15. \textbf{T} &\textbf{T} &\textbf{T} & T & T \\
  16. \hline
  17. \end{tabular}
  18. \end{center}