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Update 48_Binius.md
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ETAAcademy authored Nov 10, 2024
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Expand Up @@ -597,9 +597,7 @@ The opening phase checks the integrity of the Merkle commitment, verifying if it
- The prover sends the committed polynomial and the Merkle proof paths to the verifier.
- The verifier checks the Merkle paths and verifies that the commitment corresponds to the polynomial.

The verification step can be formalized as $b \leftarrow \Pi.Open(params, c; t, u)$, where:

- The verifier checks $△^{m_0}((u_i)_{i=0}^{m_0-1}, (Enc(t_i))^{m_0-1})_{i=0}$ for correctness, ensuring that it meets the criteria.
The verification step can be formalized as $b \leftarrow \Pi.Open(params, c; t, u)$.

4. **Proof and Verification Protocol**

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