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A related line of work studied the situation where the network is mostly reliable (messages are delivered with bounded delay), but where the definition of 'fault' was expanded to handle any deviation from the protocol. Such Byzantine faults include both naturally occurring faults as well as maliciously crafted behaviors. They were first studied in a paper also by Lamport, cowritten with Robert Shostak and Marshall Pease, as early as 1982.27 Much later, in 1999, a landmark paper by Miguel Castro and Barbara Liskov introduced practical Byzantine fault tolerance (PBFT), which accommodated both Byzantine faults and an unreliable network.8 Compared with linked time-stamping, the fault-tolerance literature is enormous and includes hundreds of variants and optimizations of Paxos, PBFT, and other seminal protocols.bitcoin convert ecdsa bitcoin bitcoin blender account bitcoin bitcoin sberbank coin bitcoin рулетка bitcoin bitcoin суть money bitcoin куплю ethereum bitcoin investing mining bitcoin ethereum mine

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Where Bitcoins generate from?
While coins are minted, paper money are printed, digital money are mined.

The rules of how Bitcoin mining works are defined by the Bitcoin protocol and implemented in its software. Bitcoin cryptocurrency uses POW (proof-of-work) algorithm to create supply of bitcoins and verify transactions. Also it is claimed to be the one of possible defenses against DoS attack. To prevent it the network demands from miners to prove that some work has been done by them (hence, the name, proof-of-work).

The network gives to miners a mathematical puzzle that is difficult to solve but easy to verify computationally. The miner uses computational power to solve the stated math problem in order to produce the valid block. After the challenge is completed, miner submits his work to other nodes’ for validation. In return the miner who found a block first gets a block reward and transaction fees included to this block.

Note: The difficulty of such mathematical puzzle increases with the growing number of miners. With the increased difficulty it becomes impossible to mine individually, thus, miners have to join mining pools.


About the puzzle that miners need to solve
The Bitcoin cryptocurrency has a cryptographic proof-of-work hash function - SHA 256d. It is a standard mathematical algorithm that converts inputs into outputs. Usually, it is really computationally-easy to get the output by putting the input into the function. E.g. from 1+2+3+4 we get 10. But if we set the challenge vice versa knowing only the output we will have a number of different variants of inputs: 9+1, 8+2, 7+3, 6+4, 5+5, etc. The challenge in a mathematical puzzle is that miner needs to find such input that will satisfy the specific output.

Note: The specific output is a digital value of a block header’s hash - an identifier of a block that has to start with a certain number of zeros.

For solving the puzzle, a miner searches a block nonce. The one who finds it first is a winner. The efficiency of miner depends on its speed in searching the right nonce.



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Each full node enforces the consensus rules of the network, a critical element of which is the currency’s fixed supply. Each bitcoin block includes a pre-defined number of bitcoin to be issued and each bitcoin transaction must have originated from a previously valid block in order to be valid. Every 210,000 blocks, the bitcoin issued in each valid block is cut in half until the amount of bitcoin issued ultimately reaches zero in approximately 2140, creating an asymptotic, capped supply schedule. Because each node independently validates every transaction and each block, the network collectively enforces the fixed 21 million supply. If any node broadcasts an invalid transaction or block, the rest of the network would reject it and that node would fall out of consensus. Essentially, any node could attempt to create excess bitcoin, but every other node has an interest in ensuring the supply of bitcoin is consistent with the pre-defined fixed limit, otherwise the currency would be arbitrarily debased at the direct expense of the rest of the network.Nxt's protocol only allows reorganization of the last 720 blocks. However, this merely rescales the problem: a client may follow a fork of 721 blocks, regardless of whether it is the tallest blockchain, thereby preventing consensus.Proof of worksimple bitcoin Easy to set upspin bitcoin

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