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book: Add a placeholder page for explaining the IPA
For now, it directs readers to the existing comparision page, which describes Halo 2's IPA relative to another work.
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- [Circuit commitments](design/proving-system/circuit-commitments.md)
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- [Vanishing argument](design/proving-system/vanishing.md)
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- [Multipoint opening argument](design/proving-system/multipoint-opening.md)
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- [Inner product argument](design/proving-system/inner-product.md)
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- [Comparison to other work](design/proving-system/comparison.md)
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- [Implementation](design/implementation.md)
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- [Gadgets](design/gadgets.md)
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book/src/design/proving-system/inner-product.md
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book/src/design/proving-system/inner-product.md
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# Inner product argument
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Halo 2 uses a polynomial commitment scheme for which we can create polynomial commitment
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opening proofs, based around the Inner Product Argument.
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> TODO: Explain Halo 2's variant of the IPA.
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>
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> It is very similar to $\text{PC}_\text{DL}.\text{Open}$ from Appendix A.2 of [BCMS20].
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> See [this comparision](comparison.md#bcms20-appendix-a2) for details.
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>
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> [BCMS20]: https://eprint.iacr.org/2020/499
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