Definition:Boolean Interpretation/Formula

Definition

Let $\LL_0$ be the language of propositional logic.

Let $v: \LL_0 \to \set {\T, \F}$ be a (partial) boolean interpretation.

Let $\phi$ be a WFF of propositional logic.

Then $v$ is called a boolean interpretation for $\phi$ if and only if $v$ is defined at $\phi$.

Otherwise, $v$ is called a partial (boolean) interpretation for $\phi$.

Sources

• 2012: M. Ben-Ari: Mathematical Logic for Computer Science (3rd ed.) ... (previous) ... (next): $\S 2.2.1$: Definition $2.15$
• 2012: M. Ben-Ari: Mathematical Logic for Computer Science (3rd ed.) ... (previous) ... (next): $\S 2.2.1$: Definition $2.18$