Definition:Boolean Interpretation/Set of Formulas
Jump to navigation
Jump to search
Definition
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 $\FF$ if and only if $v$ is defined on $\FF$.
Otherwise, $v$ is called a partial (boolean) interpretation for $\FF$.
Sources
- 2012: M. Ben-Ari: Mathematical Logic for Computer Science (3rd ed.) ... (previous) ... (next): $\S 2.2.4$: Definition $2.24$