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- \begin{center}
- \begin{sideways}
- \small\infertrue
- $
- %logical consequence
- \La{{{
- \CA F {\WHILE\ a \neq b \ \DO\ \ASS a{a+1}; \ASS b{b-1}\ \OD\ }{G}}}}
- %LC-Unterm Strich
- {F \Rightarrow {\INV\ }}
- %LC-Übern Strich 1. Ausdruck
- {\WHt{{
- \CA\INV{\WHILE\ a \neq b \ \DO\ \ASS a{a+1}; \ASS b{b-1}\ \OD\ }
- {\INV\land\lnot e}}}
- %Wht-Unterm Strich
- {\SC
- {\CA
- {\INV\land a \neq b \land t = t_0}%CA - 1.
- {\ASS a{a+1}; \ASS b{b-1}\ }%CA - 2.
- {\INV\land 0 \leq t \leq t_0}}%CA - 3.
- %Sequence-unterm Strich
- {\La{\CA{\INV\land a \neq b \land t = t_0}{\ASS a{a+1};\ }{B}}{{\INV\land a \neq b \land t = t_0} => C}{\CA{C}{\ASS a{a+1}}{B}}
- }
- %Sequence-überm Strich 1. Ausdruck
- {\CA{B}{\ASS b{b-1}\ }{\INV\land 0 \leq t \leq t_0}}}
- %Sequence-überm Strich 2. Ausdruck
- %Wht-Übern Strich 1. Ausdruck
- {}
- %Wht-Übern Strich 2. Ausdruck (Wird nciht gebraucht da wir wht'' verwenden)
- }%LC-Übern Strich 2. Ausdruck
- {\INV\land \neg e \Rightarrow G
- }
- %LC-Übern Strich 3. Ausdruck
- $
- \end{sideways}
- \end{center}
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