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Fix grammar and remove duplicate words #544

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2 changes: 1 addition & 1 deletion jolt-evm-verifier/README.md
Original file line number Diff line number Diff line change
@@ -1,6 +1,6 @@
# Jolt EVM Verifier

This packages implements a verifier for the Jolt prover which can run in the EVM.
This package implements a verifier for the Jolt prover which can run in the EVM.

## *WARNING THIS PACKAGE IS NEITHER COMPLETE NOR REVIEWED FOR SECURITY. DO NOT USE IN PRODUCTION.*

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4 changes: 2 additions & 2 deletions jolt-evm-verifier/src/subprotocols/HyperKZG.sol
Original file line number Diff line number Diff line change
Expand Up @@ -20,7 +20,7 @@ contract HyperKZG {
using FrLib for Fr;

// These are initialized using the trusted setup values. NOTE - You must negate the point
// VK_g2 in order to have the checks pass, unlike the the rust which checks e(L, VK_G2) =
// VK_g2 in order to have the checks pass, unlike the rust which checks e(L, VK_G2) =
// e(R, VK_Beta_G2) we use a precompile which checks e(L,-VK_G2)e(R, VK_Beta_G2) = 1
uint256 immutable VK_g1_x;
uint256 immutable VK_g1_y;
Expand Down Expand Up @@ -164,7 +164,7 @@ contract HyperKZG {
accumulated_q = q * accumulated_q;
}

// Finally we do a MSM to get the value of the the left hand side
// Finally we do a MSM to get the value of the left hand side
// NOTE - This is gas inefficient and grows with log of the proof size so we might want
// to move to a pippenger window algo with much smaller MSMs which we might save gas on.
// Our first value is the c_x c_y as this would be the first entry of com in rust.
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