<transcript><audio_5>proof after receiving our update request which is available in many vector convenience screens and one time to update the commitment which is also very easy to achieve and the most importantly</transcript><transcript><audio_6>we need the vector scheme needs a aggregation algorithm but actually we don't care how they do the aggregation which doesn't need their exist and aggregation algorithm so</transcript><transcript><audio_7>now for our compiler at the beginning we have a vector and we can open uh the we can commitment to uh to a commitment and we have all the we</transcript><transcript><audio_8>can open it to all the proofs this is the initial state and when we receive an updated request which means i want to update the position i want to data i1 we</transcript><transcript><audio_9>just put the request into a updated record and use the one-time commitment update algorithm to update the commitment and update the vector</transcript> proof after receiving our update request which is available in many vector convenience screens and one time to update the commitment which is also very easy to achieve and the most importantly we need the vector scheme needs a aggregation algorithm but actually we don't care how they do the aggregation which doesn't need their exist and aggregation algorithm so now for our compiler at the beginning we have a vector and we can open uh the we can commitment to uh to a commitment and we have all the we can open it to all the proofs this is the initial state and when we receive an updated request which means i want to update the position i want to data i1 we just put the request into a updated record and use the one-time commitment update algorithm to update the commitment and update the vector
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