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re-Adding lookups #386

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wyattbenno777
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  1. I moved @hero78119 's work into a new branch and rebased for the most recent version of dev branch.
  2. Rather than having V2 I moved things into its own file lookup_ppsnark.rs.
  3. Ran clippy.

Longer discussion can be found here:
#48

@hero78119
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rebased and PRed here #386

Hi @wyattbenno777 thanks for continuing this work and glad this can help somewhere ❤️

For memory consistency check protocol, https://eprint.iacr.org/2024/325.pdf propose more efficient protocol which eliminate the work of commit the whole table in the final compress snark. Please refer Appendix A for full protocols.

I believe once introduce this enhancement in compression snark then it will make this solution more robust.

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