Two sets have the same many-one degree when each many-one reduces to the other.
A staged-enumeration reduction controls an output language by enumerating more elements at each simulation stage and changing behavior when a source computation halts.
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Many-one reduction, also known as **mapping reduction**, is a concept in computational complexity theory used to compare the difficulty of decision problems. It involves transforming instances of one decision problem into instances of another decision problem in such a way that the answer to the original problem can be easily derived from the answer to the transformed problem.