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Merging incomparable linearizations

Merging incomparable linearizations

Posted on: November 28, 2023 20:14 UTC

The discussion revolves around a specific challenge encountered in optimizing transaction processing.

The primary issue arises with the handling of transaction chunks that have a fee rate greater than a certain threshold, denoted as $f$. The conventional approach, which involves prioritizing the movement of favorable transactions to the forefront of the last chunk containing any transactions, encounters a significant flaw. This method can inadvertently lead to an outcome that surpasses the intended optimization goal, where all advantageous transactions are positioned at the beginning. Although this might seem beneficial, it contradicts the initial aim and highlights a critical limitation in the proof's methodology. The underlying theorem, which suggests the feasibility of achieving an optimized state through individual transaction moves, remains plausible. However, the current strategy to realize this theorem fails because it lacks a mechanism to prevent exceeding the optimization target. This situation underscores the necessity for a revised or entirely new approach that can ensure the attainment of the desired end state without surpassing it.