Full Idea
For modal logic we add to the syntax of classical logic two new unary operators □ (necessarily) and ◊ (possibly).
Gist of Idea
Modal logic adds □ (necessarily) and ◊ (possibly) to classical logic
Source
M Fitting/R Mendelsohn (First-Order Modal Logic [1998], 1.3)
Book Reference
Fitting,M/Mendelsohn,R: 'First-Order Modal Logic' [Synthese 1998], p.5