- Parenthesis: \( ( , ) \)
- Connectives: \( \vee , \neg \)
- Quantifier: \( \forall \)
- Variables, one for each \( i \in \mathbb{N}_{1} \): \( v_{i} \)
- Equality symbol: =
- Constant symbols: A set of symbols
- Function symbols, for each \( n \in \mathbb{N}_{1} \): A set of \( n \)-ary function symbols
- Relation symbols, for each \( n \in \mathbb{N}_{1} \): A set of \( n \)-ary relation symbols

Since the only thing differing from language to language are its constants, variables, functions and relations then we can denote the language \( \mathcal{L} \) by \( \left ( C_{\mathcal{L}} , F_{\mathcal{L}} , R_{\mathcal{L}} \right ) \), we can denote the set of variables by \( V_{\mathcal{L}} \)