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  1. \begin{enumerate}
  2. \item \textbf{Decide entailment using satisfiability.}
  3. The question whether $\varphi \vDash \psi$ can be decided by checking $\varphi \wedge \neg \psi$ not satisfiable.
  4. \item \textbf{Decide entailment using validity.}
  5. The question whether $\varphi \vDash \psi$ can be decided by checking $\varphi \rightarrow \psi$ is valid.
  6. \end{enumerate}