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15 lines
580 B
15 lines
580 B
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\textbf{Definition - Unit Clause.} A clause $c$ is said to be a unit clause
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under some assignment $A$ if the following two conditions hold:
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\begin{enumerate}
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\item The clause $c$ is not satisfied by $A$.
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\item All but one of the variables in $c$ are given a value by $A$.
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\end{enumerate}
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Therefore, there is a single literal left in the set representing the clause under the assignment.
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An example would be:
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\begin{itemize}
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\item $c = \{a, b, \lnot c\}$
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\item $A = \{\lnot a, c\}$
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\item $c[A] = \bot \lor b \lor \bot$, in set representation: $\{b\}$
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\end{itemize}
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