Definition:Conjunction/Boolean Interpretation

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Definition

Let $\mathbf A$ and $\mathbf B$ be propositional formulas.

Let $\land$ denote the conjunction operator.

The truth value of $\mathbf A \land \mathbf B$ under a boolean interpretation $v$ is given by:

$\map v {\mathbf A \land \mathbf B} = \begin{cases} \T & : \map v {\mathbf A} = \map v {\mathbf B} = \T \\ \F & : \text{otherwise} \end{cases}$