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Definition of computation. 1  1a : the act or action of computing : calculationb : the use or operation of a computer. 2  2 : a system of reckoning. 3  3 : an amount computed.
On the one hand, it refers to an algorithm for solving instances of a problem: broadly stated, the computational complexity of an algorithm is a measure of how many steps the algorithm will require in the worst case for an instance or input of a given size. The number of steps is measured as a function of that size.