Category:Mapping Reductions
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This category contains results about Mapping Reductions.
Definitions specific to this category can be found in Definitions/Mapping Reductions.
Let $\Sigma, \Sigma'$ be finite sets.
Let:
\(\ds L\) | \(\subseteq\) | \(\ds \Sigma^*\) | ||||||||||||
\(\ds L'\) | \(\subseteq\) | \(\ds \Sigma'^*\) |
be sets of finite strings over $\Sigma$ and $\Sigma'$ respectively, where:
- $\Sigma^*$ denotes the set of all finite strings over the alphabet $\Sigma$.
Let $f : \Sigma^* \to \Sigma'^*$ be a computable function such that, for all $w \in \Sigma^*$:
- $w \in L \iff \map f w \in L'$
Then, $f$ is a mapping reduction from $L$ to $L'$.
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