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15 lines
927 B
15 lines
927 B
Using the variables $v_1$ and $v_0$, we can define the transition relation using the following formula:\\
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\begin{center}
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$\lnot v_1 \land \lnot v_0 \land (\lnot v'_1 \land \lnot v'_0 \lor \lnot v'_1 \land v'_0 \lor v'_1 \land \lnot v'_0 \lor v'_1 \land v'_0) \ \lor$\\
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$\lnot v_1 \land v_0 \land (\lnot v'_1 \land v'_0 \lor v'_1 \land \lnot v'_0 \lor v'_1 \land v'_0) \ \lor$\\
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$v_1 \land \lnot v_0 \land (\lnot v'_1 \land \lnot v'_0 \lor \lnot v'_1 \land v'_0 \lor v'_1 \land v'_0) \ \lor$\\
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$v_1 \land v_0 \land (\lnot v'_1 \land \lnot v'_0 \lor \lnot v'_1 \land v'_0 \lor v'_1 \land \lnot v'_0 \lor v'_1 \land v'_0)$
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\end{center}
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We can further simplify the formula to:
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\begin{center}
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$\lnot v_1 \land \lnot v_0 \lor$\\
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$\lnot v_1 \land v_0 \land (v'_0 \lor v'_1 \land \lnot v'_0) \ \lor$\\
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$v_1 \land \lnot v_0 \land (\lnot v'_1 \lor v'_1 \land v'_0) \ \lor$\\
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$v_1 \land v_0$
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\end{center}
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