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