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Sergio is refining my proof-of-storage concept from 2013. But I don't think proving you are full node is important in my design. Everyone seems to view this as important for eliminating the centralization of pools, but there are no pools in my design because in my design proof-of-work is not profitable (but it is economic). I am going to reveal the unperceived dualism in some of the concepts of crypto-currency.
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You're underestimating the importance of proving a full nodes' existence.
The utility of money is built around confidence. Almost everything else that drives adoption revolves around features and ease of use.