Definition:Model (Logic)/Set of Logical Formulas

Definition
Let $\mathscr M$ be a formal semantics for a logical language $\LL$.

Let $\MM$ be a structure of $\mathscr M$.

Let $\FF$ be a set of logical formulas of $\LL$.

Then $\MM$ is a model of $\FF$ :


 * $\MM \models_{\mathscr M} \phi$ for every $\phi \in \FF$

that is, if it is a model of every logical formula $\phi \in \FF$.

Also see

 * Definition:Satisfiable Set of Formulas