Abstract
Even after 12 years of services, Bitcoin remains the leading electronic money system and the most influential player in the crypto-currency market. For each block, the underlying distributed proof-of-work consensus, which requires a great deal of computing power ( used by miners) to solve a difficult mathematical problem, rewards the first miner who solves the problem and shares the solution with the rest of the network. Two main problems regarding this consensus can be easily highlighted: (1) the computational power spent by the miners is wasteful since only one of them will be rewarded, and (2) miners with a much lower computational capacity can almost never solve the mathematical problem, and thus cannot earn a reward. Also the historical players in the system see their reward greatly diminished if a new player with a high computational capacity suddenly enters the game. This paper proposes a substantial amendment to the existing Bitcoin consensus by using the wasted computation to adjust the difficulty of each miner that did provide computation effort overtime. Therefore, anytime a miner justifies of its work toward the consensus hence the network, without reaching the solution, then its difficulty will decrease accordingly for next blocks.