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text: The recipient of an update processes it with the following steps: <del> Compute the updated path secrets * Identify a node in the direct path for which the local member is in the subtree of the non- updated child * Identify a node in the resolution of the copath node for which this node has a private key * Decrypt the path secret for the parent of the copath node using the private key from the resolution node * Derive path secrets for ancestors of that node using the algorithm described above * The recipient SHOULD verify that the received public keys agree with the public keys derived from the new node_secret values Merge the updated path secrets into the tree * Replace the public keys for nodes on the direct path with the received public keys * For nodes where an updated path secret was computed in step 1, compute the corresponding node secret and node key pair and replace the values stored at the node with the computed values. </del> <ins> Compute the updated path secrets. Identify a node in the direct path for which the local member is in the subtree of the non-updated child. Identify a node in the resolution of the copath node for which this node has a private key. Decrypt the path secret for the parent of the copath node using the private key from the resolution node. Derive path secrets for ancestors of that node using the algorithm described above. The recipient SHOULD verify that the received public keys agree with the public keys derived from the new node_secret values. Merge the updated path secrets into the tree. Replace the public keys for nodes on the direct path with the received public keys. For nodes where an updated path secret was computed in step 1, compute the corresponding node secret and node key pair and replace the values stored at the node with the computed values. </ins> For example, in order to communicate the example update described in the previous section, the sender would transmit the following values: <del> In this table, the value pk(X) represents the public key corresponding derived from the node secret X.  The value E(K, S) represents the public-key encryption of the path secret S to the public key K. </del> <ins> In this table, the value pk(X) represents the public key derived from the node secret X.  The value E(K, S) represents the public-key encryption of the path secret S to the public key K. </ins> 6.