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Update Network.md
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1kresh authored Jun 3, 2024
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14 changes: 7 additions & 7 deletions specs/Network.md
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Expand Up @@ -8,22 +8,22 @@ Networks are represented through a network address (either an EOA or a contract)

---

The network epoch (let's name it $\text{NETWORK\_EPOCH}$) plus the vault's veto and execute phases' durations should not exceed the duration of the vault's epoch to **ensure that withdrawals do not impact the captured stake** (however, the conditions can be softer in practice):
The network epoch (let's name it $`\text{NETWORK\_EPOCH}`$) plus the vault's veto and execute phases' durations should not exceed the duration of the vault's epoch to **ensure that withdrawals do not impact the captured stake** (however, the conditions can be softer in practice):

- $$
- $`
\text{CYCLE\_DURATION} = \text{NETWORK\_EPOCH} + \text{vetoDuration} + \text{executeDuration}
$$
- $$
`$
- $`
\text{CYCLE\_DURATION} <= \text{EPOCH}
$$
`$

---

The vault allocates stakes by setting limits for network-resolver and operator-network pairs.

Given the current $active$ balance of the vault and the limits, we can **capture the stake for the subsequent network epoch**:

$$
$`
\text{networkStake} = \min \left(
\begin{array}{l}
\text{activeSupply}, \\
Expand All @@ -45,7 +45,7 @@ $$
\right\}
\end{array}
\right)
$$
`$

---

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