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12 changes: 6 additions & 6 deletions mkdocs/docs/zkEVM/architecture/modular-design.md
Original file line number Diff line number Diff line change
Expand Up @@ -68,11 +68,11 @@ Therefore, the polynomial identities that define the arithmetic state machine ar
the following:

$$\begin{aligned}
\mathcal{A'} &= \mathbf{sel}\mathcal{A}\cdot(\mathbf{freeIn}-\mathcal{A}) + \mathcal{A} \\
\mathcal{B'} &= \mathbf{sel}\mathcal{B}\cdot(\mathbf{freeIn}-\mathcal{B}) + \mathcal{B} \\
\mathcal{C'} &= \mathbf{sel}\mathcal{C}\cdot(\mathbf{freeIn}-\mathcal{C}) + \mathcal{C} \\
\mathcal{D'} &= \mathbf{sel}\mathcal{D}\cdot(\mathbf{freeIn}-\mathcal{D}) + \mathcal{D} \\
\mathcal{E'} &= \mathbf{sel}\mathcal{E}\cdot(\mathbf{freeIn}-\mathcal{E}) + \mathcal{E} \\
\mathcal{A'} &= \mathbf{set}\mathcal{A}\cdot(\mathbf{freeIn}-\mathcal{A}) + \mathcal{A} \\
\mathcal{B'} &= \mathbf{set}\mathcal{B}\cdot(\mathbf{freeIn}-\mathcal{B}) + \mathcal{B} \\
\mathcal{C'} &= \mathbf{set}\mathcal{C}\cdot(\mathbf{freeIn}-\mathcal{C}) + \mathcal{C} \\
\mathcal{D'} &= \mathbf{set}\mathcal{D}\cdot(\mathbf{freeIn}-\mathcal{D}) + \mathcal{D} \\
\mathcal{E'} &= \mathbf{set}\mathcal{E}\cdot(\mathbf{freeIn}-\mathcal{E}) + \mathcal{E} \\
0 &= [ \mathcal{A} \cdot \mathcal{B} + \mathcal{C} - (2^{32} \mathcal{D} + \mathcal{E}) ] \cdot \mathbf{latch} \\
\mathbf{freeIn} &\subset byte4\end{aligned}$$

Expand All @@ -99,4 +99,4 @@ As we can see in the next figure, we use Plookup as a bus to connect our main st
![image](figures/microVM-architecture.pdf.png)

This allows us to design in a modular way
a virtual state machine that can be verified with zero knowledge technology.
a virtual state machine that can be verified with zero knowledge technology.