Why do proof of work systems ramp up the difficulty of hash solving while keeping latency constant, instead of keeping difficulty constant while nodes compete to reduce latency? The later seems more useful, and not inflationary.
Correct. That is the consensus algorithm of BitCoin, not PoW. PoW does not produce a consensus (obviously, since it requires the longest-chain rule).
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you can only add new valid blocks if you solve a problem (that's is mining)... and for that some work has to be done, it could be anything as long participants agree to that work, that seems like consensus to me...
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BUT IT'S NOT CONSENSUS. It does not produce any agreement. It is just a delay factor. The consensus is block validation plus longest-chain-wins. PoW does not have any validation criteria at all!!
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