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GKR using Multivariate Polynomials

Implementing Accumulation friendly GKR from Proofs for Deep Thought https://eprint.iacr.org/2024/325

This work is supported by ZK Grants Round https://blog.ethereum.org/2024/06/25/zk-grants-round-announce

The GKR and sumcheck framework are inspired by the Gnark multilinear GKR and sumcheck implementation. However, we implement an accumulation friendly, a bivariate sumcheck for the GKR. The sumcheck implementation is generic and can be used with more variables with different degrees.

The util folder including transcript and arithmetic is taken from Han's Plonkish implementation https://github.com/han0110/plonkish.

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