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why github is not compatible with some latex
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katat committed Dec 6, 2023
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Expand Up @@ -49,7 +49,7 @@ We will refer this folding example again with some actual evaluations to demonst

Using the notation from [what is proving](https://nmohnblatt.github.io/zk-jargon-decoder/intro_to_zk/what_is_proving.html), we define the following:

$$\mathcal{L}\left(\mathcal{R}_{\text {consistent\_layers }}\right)$$
$$\mathcal{L}\left(\mathcal{R}_{\text{consistent\_layers}}\right)$$

for instance, $\left(a_1, w_1\right) \in \mathcal{R}$, where $a_1$ can represent a FRI query and constant value from $p_2$, while $w_1$ represents the corresponding evaluations across layers.

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In this manner, the prover can keep calculating for the whole domain. Then they would response the verifier query with the evaluations across layers for checking if an instance $a_i$ corresponding to the query is in the $\mathcal{L}\left(\mathcal{R}\_{\text {consistent\_layers }}\right)$
In this manner, the prover can keep calculating for the whole domain. Then they would response the verifier query with the evaluations across layers for checking if an instance $a_i$ corresponding to the query is in the $\mathcal{L}\left(\mathcal{R}_{\text{consistent\_layers }}\right)$

### Consistency check

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