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Propositional logic formulas consist of \emph{atomic propositions}, \emph{logical operators}, and \emph{parentheses}.
The \emph{well-formed formulas} of propositional logic are thosewhich we obtain by using the construction rules below:$$\varphi \coloneqq ~ < \text{atomic proposition>} ~ | ~\varphi \wedge \varphi~ |~ \varphi \vee \varphi~ | ~\neg \varphi ~| ~\varphi \imp \varphi~ | ~\varphi \leftrightarrow \varphi~ | ~( \varphi )$$
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