# Grammar
Basically just an outline of how to type things out and how things work syntactically.
$$
\begin{align}
    [\text{prog}] &\to [\text{stmt}]^* \\
    [\text{stmt}]^* &\to
    \begin{cases}
        \text{exit}([\text{expr}]); \\
        \text{var}\space\text{ident} = [\text{expr}]; \\
    \end{cases} \\
    [\text{expr}] &\to
    \begin{cases}
        \text{[Term]}
        \text{[BinExpr]} \\
    \end{cases} \\
    [\text{BinExpr}]
    \begin{cases}
        [\text[{Expr}]!] &prec=3\\
        [\text[{Expr}] ^ \text{[Expr]}] &prec=2\\
        [\text[{Expr}] \times \text{[Expr]}] &prec=1\\
        [\text[{Expr}] \div \text{[Expr]}] &prec=1\\
        [\text[{Expr}] + \text{[Expr]}] &prec=0\\
        [\text[{Expr}] - \text{[Expr]}] &prec=0\\
    \end{cases} \\
    [\text{Term}] &\to
    \begin{cases}
        \text{int\_lit} \\
        \text{ident} \\
        (\text{Expr}) \\ 
    \end{cases} \\
\end{align}
$$
### Note: i hate katex or however you spell it. Its hell.