POE request

$POE_i = (C_i, t_i, Δ_i)$

where

• $C_i \subseteq \sigma_i$, where $C_i$ is the state constraint for $t_i$, where $\sigma_i$ is the current EVM state,

• $t_i$ is the transaction,

• $Δ_i$ is the state subset affected by $t_{i}$ such that

  $Δ_i = \{(a_1, [s_{1,1}, ..., s_{1,m_1}]), ..., (a_n, [s_{n,1}, ..., s_{n,m_n}])\}$

  where

  • $a_j$ represents an Ethereum address
  • $s_{j,k}$ represents a storage key for address $a_j$

POI Request

$POI_i = (Ω, t_i, Δ_i)$

Note: Compare to POE, the only difference is $C_i$ is an universal set Ω

Pricing POI

Discounted Predicted Gas Cost

$F(t_{i}) = f(b) \cdot e^{-rt} \cdot G$

where

• $f(b)$ is a function that predicts L1 base fee for future block number b
• $r$ is the discount rate
• $t$ is time until expected inclusion
• $G$ is the gas limit of $t_{i}$

Thus we have pricing function $P_I$ for preconf of inclusion:

$P_I(Ω, t_i, Δ_i) = F(t_{i})$