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add typos.toml config and fix typos

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arnaucube
2024-03-16 11:36:56 +01:00
parent a8949595a5
commit 4828f66236
24 changed files with 51 additions and 26 deletions
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8
slides_hypernova-part1-introduction.tex
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@@ -77,7 +77,7 @@ We used to use recursive SNARKs to achieve IVC.
$$Az \circ Bz = Cz$$
Typically we use some scheme to prove that the previous equation is fullfilled by some private $w$ (eg. Groth16, Marlin, Spartan, etc).
Typically we use some scheme to prove that the previous equation is fulfilled by some private $w$ (eg. Groth16, Marlin, Spartan, etc).
\end{frame}
@@ -114,7 +114,7 @@ We're not verifying the entire proof
\begin{itemize}
\item Take n instances and 'batch' them together
\begin{itemize}
\item Folds $k$ (eg. 2) instances (eg. R1CS instances) and their respective witnesses into a signle one
\item Folds $k$ (eg. 2) instances (eg. R1CS instances) and their respective witnesses into a single one
\end{itemize}
\item At the end of the chain of folds, we just prove that the last fold is correct through a SNARK
\begin{itemize}
@@ -136,7 +136,7 @@ In Nova: folding without a SNARK, we just reduce the satisfiability of the 2 inp
$$Az \circ Bz = u \cdot Cz + E$$
\begin{scriptsize} % TODO use the other simplier font syntax
\begin{scriptsize} % TODO use the other simpler font syntax
(= R1CS when $u=1,~ E=0$)
\end{scriptsize}
@@ -189,7 +189,7 @@ Let $z_1 = (w_1, x_1, u_1)$ and $z_2 = (w_2, x_2, u_2)$.
\end{footnotesize}
\pause
\begin{scriptsize}
Note: $T$ are the cross-terms comming from combining the two R1CS instances from
Note: $T$ are the cross-terms coming from combining the two R1CS instances from
\begin{align*}
Az \circ Bz &=A(z_1 + r \cdot z_2) \circ B(z_1 + r z_2)\\
&=A z_1 \circ B z_1 + r(A z_1 \circ B z_2 + A z_2 \circ B z_1) + r^2 (A z_2 \circ B z_2) = \ldots