\item \self Given the following execution word $w$ of a Kripke structure. Evaluate the
formula $\varphi$ on $w$. Evaluate each sub-formula for any execution step using the
provided table.

\begin{itemize}
    \item $w = \{\}, \{a\}, \{\}, \{a,b\}, \{a \}, \{a,b\}, (\{a\}, \{a, b\}, \{a \})^\omega$
    \item  $\varphi = \event \glob a \imp \event \glob b$
\end{itemize}


  \begin{ltltabular}{9}
    \ltlSteps{6}{3}
    \ltlTrace{a}{0|1|0|1|1|1 |1|1|1}
    \ltlTrace{b}{0|0|0|1|0|1 |0|1|0}
    \hline
    \hline
    \ltlFormula{$\event \glob a$}
               {\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
    \ltlFormula{$\event \glob b$}
               {\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
    \ltlFormula{$\event \glob a \imp \event \glob b$}
               {\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
  \end{ltltabular}
  \newline