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computable isomorphism : ウィキペディア英語版
computable isomorphism
In computability theory two sets A;B \subseteq \N of natural numbers are computably isomorphic or recursively isomorphic if there exists a total bijective computable function f \colon \N \to \N with f(A) = B. By the theorem of Myhill,〔Theorem 7.VI, Hartley Rogers, Jr., ''Theory of recursive functions and effective computability''〕 the relation of computable isomorphism coincides with the relation of one-one reduction.
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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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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