user34762: Right now, every node in a Proof of Work system, solves the POW puzzle independently.
Is there any concept of group proof of work, where everyone in the group needs to solve part of the puzzle.

user52021: I believe any function that was not independent would have progress-- a miner with 3x the hashing speed would be first more often than 3x the time. When applied to POW consensus, progress is very bad for decentralization because it directly increases the income/influence of centralized parties/collaborations.
An example of one of these progress bearing non-independent mining constructions would be instead of finding 1 threshold meeting solution for your block, find 10 nonces that give you 10 threshold meeting solutions.

34762: <p>Right now, every node in a Proof of Work system, solves the POW puzzle independently.</p>

<p>Is there any concept of group proof of work, where everyone in the group needs to solve part of the puzzle.</p>
 52021: <p>I believe any function that was not independent would have progress-- a miner with 3x the hashing speed would be first more often than 3x the time. When applied to POW consensus, progress is very bad for decentralization because it directly increases the income/influence of centralized parties/collaborations.</p>

<p>An example of one of these progress bearing non-independent mining constructions would be instead of finding 1 threshold meeting solution for your block, find 10 nonces that give you 10 threshold meeting solutions.</p>
