add typos.toml config and fix typos

notes_sonic.tex

@@ -98,7 +98,7 @@ Combine the multiplicative and linear constraints to:
 + \sum_{i=1}^n a_i b_i (Y^i + Y^{-i}) - k(Y) = 0
 \end{align}
 
-where $a \cdot u(Y) + b \cdot v(Y) + c \cdot w(Y)$ is embeded into the constant term of the polynomial $t(X, Y)$.
+where $a \cdot u(Y) + b \cdot v(Y) + c \cdot w(Y)$ is embedded into the constant term of the polynomial $t(X, Y)$.
 
 
 Define $r(X, Y)$ s.t. $r(X, Y) = r(XY, 1)$.
@@ -154,7 +154,7 @@ PC scheme (adaptation of KZG):
 	== e(F, h^{x^{-d+max}})$$
 \end{enumerate}
 
-\subsection{Succint signatures of correct computation}
+\subsection{Succinct signatures of correct computation}
 Signature of correct computation to ensure that an element $s=s(z, y)$ for a known polynomial
 $$s(X, Y) = \sum_{i, j = -d}^d s_{i, j} \cdot X^i \cdot Y^i$$