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24 lines
958 B
24 lines
958 B
\item \self 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 $w = \{\}, \{a\}, \{\}, \{a,b\}, \{a \}, \{a,b\}, (\{a\}, \{a, b\}, \{a \})^\omega$
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\item $\varphi = \event \glob a \imp \event \glob b$
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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|1|0}
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\hline
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\hline
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\ltlFormula{$\event \glob a$}
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{\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
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\ltlFormula{$\event \glob b$}
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{\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
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\ltlFormula{$\event \glob a \imp \event \glob b$}
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{\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}|\ws{1cm}}
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\end{ltltabular}
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\newline
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