\begin{definition}[Definition:Boolean Interpretation/Set of Formulas]
Let $\LL_0$ be the language of propositional logic.
Let $v: \LL_0 \to \set {\T, \F}$ be a (partial) boolean interpretation.
Let $\FF$ be a set of WFFs of $\LL_0$.
Then $v$ is called a '''boolean interpretation for $\FF$''' {{iff}} $v$ is defined on $\FF$.
Otherwise, $v$ is called a '''partial (boolean) interpretation for $\FF$'''.
\end{definition}