Definition:Falsifiable/Boolean Interpretations

Definition
Let $\mathbf A$ be a WFF of propositional logic.

$\mathbf A$ is called falsifiable (for boolean interpretations) iff:


 * $v \left({\mathbf A}\right) = F$

for some boolean interpretation $v$ for $\mathbf A$.

In terms of validity, this can be rendered:


 * $v \not\models_{\mathrm{BI}} \mathbf A$

that is, $\mathbf A$ is invalid in the boolean interpretation $v$ of $\mathbf A$.

Also see

 * Definition:Valid (Boolean Interpretation)
 * Definition:Satisfiable (Boolean Interpretations)
 * Definition:Unsatisfiable (Boolean Interpretations)