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Optimize Forwarded Accumulator Output in decider_circuit #72

@Michael-EY

Description

@Michael-EY

Uncompressed Output for On-Chain Verification:
The values in grumpkin_info.forwarded_acumulators are currently exposed as public outputs of the decider_circuit, with the expectation that they will be used in on-chain opening checks. However, to optimize gas costs, we should accumulate these two Fq elements into a single linear combination within the circuit. This would allow us to perform only one on-chain opening verification instead of two. Note that this requires building a non-native msm circuit.

Tasks:

  • Ensure the accumulator is properly derived from the two Fq elements,

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