rich1.0Antoine Riard [ARCHIVE] (npub1vj…4x8dd)https://yabu.me/npub1vjzmc45k8dgujppapp2ue20h3l9apnsntgv4c0ukncvv549q64gsz4x8ddnjumphttps://yabu.me📅 Original date posted:2023-09-25 🗒️ Summary of this message: Payment pools and channel factories face limitations in interactivity, affecting the security of user funds. Proposed solutions include introducing a coordinator or partitioning balances, but these may not be economically practical. A potential solution is to prevent off-chain group equivocation by editing the funding utxo in a way that allows for the registration of new off-chain subgroups. CoinPool's idea of including user pubkeys and balance amounts in Taproot leaves could be utilized for privacy-preserving payments and contracts. 📝 Original message: Payment pools and channel factories are afflicted by severe interactivity constraints worsening with the number of users owning an off-chain balance in the construction. The security of user funds is paramount on the ability to withdraw unilaterally from the off-chain construction. As such any update applied to the off-chain balances requires a signature contribution from the unanimity of the construction users to ensure this ability is conserved along updates. As soon as one user starts to be offline or irresponsive, the updates of the off-chain balances must have to be halted and payments progress are limited among subsets of 2 users sharing a channel. Different people have proposed solutions to this issue: introducing a coordinator, partitioning or layering balances in off-chain users subsets. I think all those solutions have circled around a novel issue introduced, namely equivocation of off-chain balances at the harm of construction counterparties [0]. As ZmnSCPxj pointed out recently, one way to mitigate this equivocation consists in punishing the cheating pre-nominated coordinator on an external fidelity bond. One can even imagine more trust-mimized and decentralized fraud proofs to implement this mitigation, removing the need of a coordinator [1]. However, I believe punishment equivocation to be game-theory sound should compensate a defrauded counterparty of the integrity of its lost off-chain balance. As one cheating counterparty can equivocate in the worst-case against all the other counterparties in the construction, one fidelity bond should be equal to ( C - 1 ) * B satoshi amount, where C is the number of construction counterparty and B the initial off-chain balance of the cheating counterparty. Moreover, I guess it is impossible to know ahead of a partition or transition who will be the "honest" counterparties from the "dishonest" ones, therefore this ( C - 1 ) * B-sized fidelity bond must be maintained by every counterparty in the pool or factory. On this ground, I think this mitigation and other corrective ones are not economically practical for large-scale pools among a set of anonymous users. I think the best solution to solve the interactivity issue which is realistic to design is one ruling out off-chain group equivocation in a prophylactic fashion. The pool or factory funding utxo should be edited in an efficient way to register new off-chain subgroups, as lack of interactivity from a subset of counterparties demands it. With CoinPool, there is already this idea of including a user pubkey and balance amount to each leaf composing the Taproot tree while preserving the key-path spend in case of unanimity in the user group. Taproot leaves can be effectively regarded as off-chain user accounts available to realize privacy-preserving payments and contracts. I think one (new ?) idea can be to introduce taproot leaves "cut-through" spends where multiple leaves are updated with a single witness, interactively composed by the owners of the spent leaves. This spend sends back the leaves amount to a new single leaf, aggregating the amounts and user pubkeys. The user leaves not participating in this "cut-through" are inherited with full integrity in the new version of the Taproot tree, at the gain of no interactivity from their side. Let's say you have a CoinPool funded and initially set with Alice, Bob, Caroll, Dave and Eve. Each pool participant has a leaf L.x committing to an amount A.x and user pubkey P.x, where x is the user name owning a leaf. Bob and Eve are deemed to be offline by the Alice, Caroll and Dave subset (the ACD group). The ACD group composes a cut-through spend of L.a + L.c + L.d. This spends generates a new leaf L.(acd) leaf committing to amount A.(acd) and P.(acd). Amount A.(acd) = A.a + A.c + A.d and pubkey P.(acd) = P.a + P.c + P.d. Bob's leaf L.b and Eve's leaf L.e are left unmodified. The ACD group generates a new Taproot tree T' = L.(acd) + L.b + L.e, where the key-path K spend including the original unanimity of pool counterparties is left unmodified. The ACD group can confirm a transaction spending the pool funding utxo to a new single output committing to the scriptpubkey K + T'. >From then, the ACD group can pursue off-chain balance updates among the subgroup thanks to the new P.(acd) and relying on the known Eltoo mechanism. There is no possibility for any member of the ACD group to equivocate with Bob or Eve in a non-observable fashion. Once Bob and Eve are online and ready to negotiate an on-chain pool "refresh" transaction, the conserved key-path spend can be used to re-equilibrate the Taproot tree, prune out old subgroups unlikely to be used and provision future subgroups, all with a compact spend based on signature aggregation. Few new Taproot tree update script primitives have been proposed, e.g [2]. Though I think none with the level of flexibility offered to generate leaves cut-through spends, or even batch of "cut-through" where M subgroups are willing to spend N leaves to compose P new subgroups fan-out in Q new outputs, with showing a single on-chain witness. I believe such a hypothetical primitive can also reduce the chain space consumed in the occurrence of naive mass pool withdraws at the same time. I think this solution to the high-interactivity issue of payment pools and factories shifts the burden on each individual user to pre-commit fast Taproot tree traversals, allowing them to compose new pool subgroups as fluctuations in pool users' level of liveliness demand it. Pool efficiency becomes the sum of the quality of user prediction on its counterparties' liveliness during the construction lifetime. Recursive taproot tree spends or more efficient accumulator than merkle tree sounds ideas to lower the on-chain witness space consumed by every pool in the average non-interactive case. Cheers, Antoine [0] https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2022-April/020370.html [1] https://lists.linuxfoundation.org/pipermail/lightning-dev/2023-August/004043.html [2] https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2021-September/019420.html -------------- next part -------------- An HTML attachment was scrubbed... URL: <http://lists.linuxfoundation.org/pipermail/bitcoin-dev/attachments/20230925/77e3936d/attachment.html>