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\item \lect
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 $w = \{\}, \{a\}, \{ \}, \{a,b,c\}, \{a\}, \{a,b\}, ( \{a\} , \{a,c\}, \{a,c\})^\omega$
\item $\varphi = \glob a \imp (\event b \lor c )$
\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|0|0}
\ltlTrace{c}{0|0|0|1|0|0 |0|1|1}
\hline
\hline
\ltlFormula{$\glob a$}
{0|1|0|1|1|1 |1|1|1}
\ltlFormula{$\event b$}
{0|1|0|1|1|1 |0|0|0}
\ltlFormula{$\event b \vee c$}
{0|1|0|1|1|1 |0|1|1}
\ltlFormula{$\glob a \imp (\event b \lor c)$}
{0|1|0|1|1|1 |0|1|1}
\end{ltltabular}