Everything which is proof-of - something physical is a play with words on "proof of work" and "proof of stake". These two are cryptoeconomic systems - they are trustless.https://medium.com/the-trustlines-network/trustlines-network-the-original-ripple-idea-built-on-ethereum-de162e640fa6 If its a proof of anything else you usually trust someone.Faircoin is really looks like a permissioned chain to me, where only a certified nodes have a permission to mine? Bitcoin wastes a lot of energy, but the beauty of it, that I do not have to trust the miners. Cryptoeconomics are about arsehole network theory. They can be rational arseholes but they still maintain the system, I rely on their greed, not their honesty.Amongst systems that do require trust I prefer Trustlines. I think they are smart and building something quite cool. To be completely honest I think faircoin is pretty lame. I don't know, may be they're cool, but I don't like it. I think the dev picked a good name to address people who are concerned about PoW being wasteful.Proof of movement is something that this guy atan was working on for a while to build some sort of a decntralised uber. I think the project is dead now. Proof of movement way I understand it is really a reputation system not a concensus algo.