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Speedup theorem
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{{Short description|Computational theorem}} {{for|the theorem that some mathematical proofs can be drastically shortened in stronger axiom systems|Gödel's speed-up theorem}} {{unreferenced|date=August 2020}} In [[computational complexity theory]], a '''speedup theorem''' is a [[theorem]] that for any [[algorithm]] (of a certain class) demonstrates the existence of a more [[efficient algorithm]] solving the same problem. Examples: *[[Linear speedup theorem]], that the space and time requirements of a [[Turing machine]] solving a decision problem can be reduced by a multiplicative constant factor. *[[Blum's speedup theorem]], which provides speedup by any computable function (not just linear, as in the previous theorem). ==See also== * [[Amdahl's law]], the theoretical speedup in latency of the execution of a task at a fixed workload that can be expected of a system whose resources are improved. ==References== {{Reflist}} {{comp-sci-stub}} [[Category:Theorems in computational complexity theory]]
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