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Super IVC: based on a variant of SuperNova #2426

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@dannywillems dannywillems commented Jul 13, 2024

Using the old "interpreter" model with a specific witness environment, not the one defined with capabilities.
Based on SuperNova, with possible small modifications.
It is compatible with the folding scheme defined in the folding library.
The decoding function phi from the paper will use the 5 columns decoding the instruction (or maybe only the one describing the encoded 32 bits instruction value). We must precompute the polynomial that evaluates to 1, 2, ..., l for the values encoding the instructions, and reduce it to degree 2. As we do have 435 columns at the least in the IVC for Poseidon, we can allow a non-negligeable number of different instructions.
Each F_i from the paper will be the constraints related to the specific instruction.
Each accumulator U_i will be encapsulated in a FoldingOutput value.
A state for each accumulator/instruction will be kept.

@dannywillems dannywillems marked this pull request as draft July 13, 2024 07:04
@dannywillems dannywillems changed the title Super IVC: based on SuperNova. Super IVC: based on a variant of SuperNova Jul 13, 2024
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