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From DDIA, page 335

Moreover, only linearizable read and write operations can be implemented in this way; a linearizable compare-and-set operation cannot, because it requires a consen‐ sus algorithm

Why linearizable compare-and-set operation cannot be achieve with read repair synchronously in Dynamo-style quorums system? specifically why the statement "because it requires a consensus algorithm" is a reason for the impossibility?

Tried read DDIA and couple of youtube by Martin Kleppmann by to no avail

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