A consensus mechanism. Meaning a form of agreement to run the network.
It is the first mechanism and often considered to most secure and fair (though it requires heavy tech to actually use it to mine coins). Bitcoin uses this mechanism. Most hardcore and “OG” blockchain advocates will often prefer this. Not a lot of coins actually run this type of mechanism.
Proof of work actually is pretty self-explanitory. It requires you to provide proof of working. In order to create a new block (and mine coins) you have to solve a mathematical problem. This require a vast amount of computing power, i.e. heavy computer technology and large amount of work, meaning it is expensive.
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