They are [[recursively enumerable]], and each can be translated into any other via a [[many-one reduction]]. That is, given such sets ''A'' and ''B'', there is a total computable function ''f'' such that ''A'' = {''x'' : ''f''(''x'') ∈ ''B''}. These sets are said to be ''many-one equivalent'' (or ''m-equivalent''). | They are [[recursively enumerable]], and each can be translated into any other via a [[many-one reduction]]. That is, given such sets ''A'' and ''B'', there is a total computable function ''f'' such that ''A'' = {''x'' : ''f''(''x'') ∈ ''B''}. These sets are said to be ''many-one equivalent'' (or ''m-equivalent''). |