$$$$

Part of the While grammar for Statements and Arithmetic Expressions:

$$\begin{array}{rcl}S& ⟶& V\leftarrow A\mid \cdots \\ A& ⟶& V\mid N\mid A+A\mid \cdots \\ L& ⟶& a\mid b\mid \cdots \mid z\\ U& ⟶& A\mid B\mid \cdots \mid Z{\mid }^{\prime }\\ M& ⟶& LM\mid UM\mid ϵ\\ V& ⟶& LM\\ D& ⟶& 0\mid 1\mid \cdots \mid 9\\ E& ⟶& DE\mid ϵ\\ N& ⟶& DE\end{array}$$

---

Modified grammar to account for lexing stage:

$$\begin{array}{rcl}\mathit{S}& ⟶& \mathsf{id}\mathsf{assn}\mathit{A}\mid \cdots \\ \mathit{A}& ⟶& \mathsf{id}\mid \mathsf{num}\mid \mathit{A}\mathsf{plus}\mathit{A}\mid \cdots \end{array}$$