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msol_over_strings [2007/05/11 16:58] ghid.maatouk |
msol_over_strings [2007/05/27 12:43] vaibhav.rajan |
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====== MSOL over Strings ====== | ====== MSOL over Strings ====== | ||
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[\![F_1 \lor F_2]\!]e &=& [\![F_1]\!]e\ \lor\ [\![F_2]\!]e \\ \ | [\![F_1 \lor F_2]\!]e &=& [\![F_1]\!]e\ \lor\ [\![F_2]\!]e \\ \ | ||
[\![\lnot F]\!]e &=& \lnot ([\![F]\!]e) \\ \ | [\![\lnot F]\!]e &=& \lnot ([\![F]\!]e) \\ \ | ||
- | [\![\exists v. F]\!]e &=& \exists S. S\ \mbox{is finite}\ \land\ S \subseteq N_0. [\![F]\!](e[v \mapsto S]) | + | [\![\exists v. F]\!]e &=& \exists S. S\ \mbox{is finite}\ \land\ S \subseteq N_0 \land [\![F]\!](e[v \mapsto S]) |
\end{eqnarray*} | \end{eqnarray*} | ||