You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
26 lines
1.1 KiB
26 lines
1.1 KiB
\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{$\glob a$}
|
|
{\ws{1cm}|\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}|\ws{1cm}}
|
|
\ltlFormula{$\event b \vee c$}
|
|
{\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
|
|
\ltlFormula{$\glob a \imp (\event b \lor c)$}
|
|
{\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
|
|
\end{ltltabular}
|
|
|