Add additional input parameter to 5c
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commitment phase takes the isomorphism $\psi$ and the graph $\mathcal{G}$
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commitment phase takes the isomorphism $\psi$ and the graph $\mathcal{G}$
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as input and produces a commitment $\mathcal{G}'$. The opening phase takes
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as input and produces a commitment $\mathcal{G}'$. The opening phase takes
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an isomorphism $\mathsf{resp}$ and another graph
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an isomorphism $\mathsf{resp}$ and another graph
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$\mathcal{G}_{\mathsf{ch}}$ isomorphic to $\mathcal{G}$ as input and
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$\mathcal{G}_{\mathsf{ch}}$ isomorphic to $\mathcal{G}$ as well as the
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outputs $\top$ if the result matches $\mathcal{G}'$ and $\bot$ otherwise.
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original commitment as input and outputs $\top$ if the result matches
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$\mathcal{G}'$ and $\bot$ otherwise.
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\item Computational binding: Suppose $\mathsf{Comm}(\psi,\mathcal{G}_0) =
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\item Computational binding: Suppose $\mathsf{Comm}(\psi,\mathcal{G}_0) =
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\mathsf{Comm}(\psi,\mathcal{G}_1)$. This means that $\psi(\mathcal{G}_0) =
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\mathsf{Comm}(\psi,\mathcal{G}_1)$. This means that $\psi(\mathcal{G}_0) =
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