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fix: Augmentation -> Augmented circuit & other typos
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huitseeker committed Jan 25, 2024
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Expand Up @@ -9,8 +9,8 @@ Before delving into the specifics of the implementation, it's crucial to define

- **Recursive SNARK**: A Recursive SNARK is a type of succinct non-interactive argument of knowledge for a circuit $F$ which can be composed with itself as $z\_{i+1} \gets F(z_i)$.
Each iteration proves the verification of a proof for $z_i$ and the correctness of $z\_{i+1}$, ensuring the proving of each step remains constant.
- **Augmentation Circuit**: In the context of the SuperNova protocol, an augmentation circuit refers to a circuit $F'$ composing $F$ with a circuit which partially verifies the validity of the previous output $z_i$ before running $F(z_i)$.
- **NIFS Folding Verifier**: A non-interactive folding scheme is a protocol for efficiently updating a proof $\pi_i$ about an iterated function $z\_{i+1} \gets F(z_i)$ into a new proof $\pi\_{i+1}$, through a process referred to as "folding".
- **Augmented Circuit**: In the context of the SuperNova protocol, an augmented circuit refers to a circuit $F'$ composing $F$ with a circuit which partially verifies the validity of the previous output $z_i$ before running $F(z_i)$.
- **NIFS Verifier**: A non-interactive folding scheme is a protocol for efficiently updating a proof $\pi_i$ about an iterated function $z\_{i+1} \gets F(z_i)$ into a new proof $\pi\_{i+1}$, through a process referred to as "folding".
By splitting the proof into an instance/witness pair $(u,w) = \pi$, the folding verifier describes an algorithm for verifying that the $u$ component was properly updated.

## SuperNova vs. Nova
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