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content/computability/computability-theory/reducibility.tex

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\[
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x \in A \quad \text{if and only if} \quad f(x) \in B.
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\]
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If such a reduction $f$ existss, we say that $A$ is \emph{many-one
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If such a reduction $f$ exists, we say that $A$ is \emph{many-one
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reducible} to~$B$, written $A \leq_m B$. If $A$ is many-one reducible
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to $B$ and vice-versa, then $A$ and $B$ are said to be \emph{many-one
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equivalent}, written $A \equiv_m B$.

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