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  1. %4 Points
  2. \item \self Consider a formula $\varphi$ in propositional logic. In the
  3. following list, tick all statements that are true.
  4. \begin{itemize}
  5. \item[$\square$] If $\varphi$ is a tautology, a falsifying model can be found.
  6. \item[$\square$] If $\varphi$ is equivalent to $\psi$, a satisfying model for $\varphi$ always satisfies $\psi$.
  7. \item[$\square$] If $\varphi$ has no satisfying model, it is called a tautology.
  8. \item[$\square$] If $\varphi$ semantically entails $\psi$, a satisfying model for $\psi$ always satisfies $\varphi$.
  9. \end{itemize}