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20 lines
1.2 KiB
20 lines
1.2 KiB
DPLL algorithm:
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\begin{tabular}{|l|c|c|c|c|c|}
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\hline
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Step & 1 & 2 & 3 & 4 & 5 \\ \hline \hline
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Decision Level & 0 & 0 & 0 & 0 & 0 \\ \hline
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Assignment & - & $\lnot a$ & $\lnot a,\lnot b$ & $\lnot a,\lnot b,\lnot c$ & $\lnot a,\lnot b,\lnot c,\lnot d$ \\ \hline
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Cl. 1: $\lnot a, b$ & 1 & \cmark & \cmark & \cmark & \cmark \\ \hline
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Cl. 2: $\lnot b, c$ & 2 & 2 & \cmark & \cmark & \cmark \\ \hline
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Cl. 3: $\lnot c, d$ & 3 & 3 & 3 & \cmark & \cmark \\ \hline
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Cl. 4: $\lnot d, e$ & 4 & 4 & 4 & 4 & \cmark \\ \hline
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Cl. 5: $\lnot e, \lnot a$ & 5 &\cmark& \cmark & \cmark& \cmark\\ \hline \hline
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BCP & - & - & - & - & - \\ \hline
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PL & $\lnot a$ & $\lnot b$ & $\lnot c$ & $\lnot d$ & - \\ \hline
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Decision & - & - & - & - & SAT \\ \hline
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\end{tabular}
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Model:
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$a$ = F, $b$ = F, $c$ = F, $d$ = F, $e$ = F
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