Hungarian algorithm

In computability theory two sets $A;B\subseteq \mathbb {N}$ of natural numbers are computably isomorphic or recursively isomorphic if there exists a total bijective computable function $f\colon \mathbb {N} \to \mathbb {N}$ with $f(A)=B$.

Two numberings $\nu$ and $\mu$ are called computably isomorphic if there exists a computable bijection $f$ so that $\nu =\mu \circ f$

Computably isomorphic numberings induce the same notion of computability on a set.

References

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