Computable isomorphism (original) (raw)

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dbo:abstract Rekursive Isomorphie ist in der Berechenbarkeitstheorie eine Äquivalenzrelation auf Mengen natürlicher Zahlen. (de) In computability theory two sets of natural numbers are computably isomorphic or recursively isomorphic if there exists a total bijective computable function with . By the Myhill isomorphism theorem, the relation of computable isomorphism coincides with the relation of mutual one-one reducibility. Two numberings and are called computably isomorphic if there exists a computable bijection so that Computably isomorphic numberings induce the same notion of computability on a set. (en)
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dbo:wikiPageWikiLink dbr:Myhill_isomorphism_theorem dbc:Reduction_(complexity) dbr:Numbering_(computability_theory) dbr:Computability_theory_(computer_science) dbr:Computable_function dbr:Bijective dbr:Many-one_reduction dbr:Total_function dbr:Natural_number
dbp:date June 2021 (en)
dbp:reason f is a function on naturals, not on sets of naturals, so what is f? (en)
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dct:subject dbc:Reduction_(complexity)
rdfs:comment Rekursive Isomorphie ist in der Berechenbarkeitstheorie eine Äquivalenzrelation auf Mengen natürlicher Zahlen. (de) In computability theory two sets of natural numbers are computably isomorphic or recursively isomorphic if there exists a total bijective computable function with . By the Myhill isomorphism theorem, the relation of computable isomorphism coincides with the relation of mutual one-one reducibility. Two numberings and are called computably isomorphic if there exists a computable bijection so that Computably isomorphic numberings induce the same notion of computability on a set. (en)
rdfs:label Rekursive Isomorphie (de) Computable isomorphism (en)
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