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If I understood Ark correctly, pool transactions (which are on-chain transactions) are connected, as the output of pool transaction A is used as an input of the pool transaction A+1.

If so, how can that work if there's this mempool policy that limits the number of ascendants/descendants on unconfirmed transactions to 25?

With pool transactions every 5 seconds that would amount to chains of 120 (on average) unconfirmed transactions in the mempool.

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The pool transactions don't need to reference each other.

Suppose, you have a vtxo that was created in round n and you want to spend it in round n+1.

The idea is that you do some kind of an atomic swap. You will forfeit your vtxo of round n against a new vtxo in round n+1.

This is done, by creating two transactions.

  • Forfeiture transaction: The forfeiture transaction takes a connector from round n+1 as an input. This ensures that the forfeiture transaction is only valid if round n+1-occurs exactly as you would expect
  • New vtxo The new vtxo will also appear in round n+1

We don't need any on-chain link here between pool-transaction n and n+1. All the funds entering pool-transaction n+1 are provided by the ASP.

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  • And the forfeiture transaction is never broadcasted, is that it?
    – bordalix
    Commented Sep 26, 2023 at 14:50
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    Yes, Ark is an optimistic protocol. If everything goes right only the pool transactions will be broadcast. The LSP only needs to broadcast the forfeiture transaction if someone tries to redeem a forfeited vtxo. We don't expect this to happen often. Broadcasting a forfeited vtxo is stupid because you pay transaction costs for money you cannot get.
    – Erik
    Commented Sep 27, 2023 at 7:00

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