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25 lines
923 B
25 lines
923 B
\item \lect
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Given the following execution word $w$ of a Kripke structure. Evaluate the
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formula $\varphi$ on $w$. Evaluate each sub-formula for any execution step using the
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provided table.
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\begin{itemize}
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\item $w = \{\}, \{a\}, \{ \}, \{a,b,c\}, \{a\}, \{a,b\}, ( \{a\} , \{a,c\}, \{a,c\})^\omega$
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\item $\varphi = \glob \event a \imp (\event \glob \neg b \wedge c )$
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\end{itemize}
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\begin{ltltabular}{9}
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\ltlSteps{6}{3}
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\ltlTrace{a}{0|1|0|1|1|1 |1|1|1}
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\ltlTrace{b}{0|0|0|1|0|1 |0|0|0}
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\ltlTrace{c}{0|0|0|1|0|0 |0|1|1}
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\hline
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\hline
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\ltlFormula{$\glob \event a$}
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{1|1|1|1|1|1 |1|1|1}
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\ltlFormula{$\event \glob \neg b$}
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{1|1|1|1|1|1 |1|1|1}
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\ltlFormula{$\event \glob \neg b \wedge c$}
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{0|0|0|1|0|0 |0|1|1}
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\ltlFormula{$\glob \event a \imp (\event \glob \neg b \wedge c )$}
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{0|0|0|1|0|0 |0|1|1}
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\end{ltltabular}
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