sipa changed the topic of #bitcoin-wizards to: This channel is for discussing theoretical ideas with regard to cryptocurrencies, not about short-term Bitcoin development | http://bitcoin.ninja/ | This channel is logged. | For logs and more information, visit http://bitcoin.ninja
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<bsm1175321> bramc: that it is. Did you see my comments above?
<bramc> bsm1175321: Did not read closely
<bsm1175321> bramc: Given the Merkle Set as you've implemented it,let's assume I want to add or remove a UTXO from the set commitment. What is the minimal amount of info that has to be transmitted to allow a third party to compute the new root without the removed (with the added) element? (I'm concerned that tree rebalancing might require more than a log(n) Merkle path)
<bramc> bsm1175321: It's log(n)
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<bsm1175321> So tree rebalancing isn't going to require me to know more than that?
<maaku> bsm1175321: you don't need to rebalance a trie
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<bsm1175321> Hmmmm...oh yeah you're using a Patricia Trie, no? then how is the root hash computed?
<maaku> ;later tell zooko our p2p layer has a bunch of different buckets for categorizing peers, and tries to connect to at least one from each category. one category could be "provided high PoW"
<bramc> maaku: There should be several reserved for each category
<maaku> i think i got that syntax wrong anyway
<bramc> Really it should be several different measures of goodness, and the top N from each category should be let in for sure
<bramc> of each measure I mean
<maaku> bramc: that's what it is
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<Eliel_> bramc: what kind of a balancing algorithm are you using for the tree? Is it red-black-tree? https://en.wikipedia.org/wiki/Red%E2%80%93black_tree
<bramc> Eliel_: No it's a patricia trie
<Eliel_> ah, right, that's got the advantage of not being order dependant while the exact red black tree structure would depend on the insertion/deletion order.
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<maaku> you can unbalance a patricia trie, but it involves successively harder proof of work...
<Eliel_> well, it'd take quite some processing power to actually unbalance it enough to make much of a difference.
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<Eliel_> Plus, wallets could be programmed to help it closer to balance again and that would take much less processing power.
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<bramc> I'm doing a few extra tricks to make it so that the tree has to be really really unbalanced for it to be a problem
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<bramc> Implementation tricks, not format tricks. Well there is one format trick: I'm making it so that whenever there are only two things under the current position they both bubble up to the immediate position
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<bsm1175321> bramc: what I'm missing is a quantitative measure of "unbalancedness".
<bsm1175321> And given a badly unbalanced tree, how much communication beyond the Merkle path at log(n) is required for an observer to independently compute the new Merkle root, including rebalancing, where the observer does NOT have the entire tree.
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