Questionnaire-2024/temporal_logic/1006.tex

\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 $w = \{a\},\{a\},\{a\},\{b,c\},\{a\},\{a,b\}(\{a\},\{c\})^\omega$
    \item  $\varphi =  a \unt c \lor \event b $
\end{itemize}

  \begin{ltltabular}{8}
    \ltlSteps{6}{2}
    \ltlTrace{a}{1|1|1|0|1|1 |1|0}
    \ltlTrace{b}{0|0|0|1|0|1 |0|0}
    \ltlTrace{c}{0|0|0|1|0|0 |0|1}
    \hline
    \hline
    \ltlFormula{$a \unt c$}
               {\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
    \ltlFormula{$\event b$}
               {\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
    \ltlFormula{$a \unt c \lor \event b$}
               {\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
  \end{ltltabular}
  \newline