Theorems in computational complexity theory

Linear speedup theorem

In computational complexity theory, the linear speedup theorem for Turing machines states that given any real c > 0 and any k-tape Turing machine solving a problem in time f(n), there is another k-tape machine that solves the same problem in time at most f(n)/c + 2n + 3, where k > 1.If the original machine is non-deterministic, then the new machine is also non-deterministic.The constants 2 and 3 in 2n + 3 can be lowered, for example, to n + 2. (Wikipedia).

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Related pages

Real number | Turing machine | Computational complexity theory