Evaluating the Complexity of Index Sets for Families of General Recursive Functions in the Arithmetic Hierarchy
Algebra i logika, Tome 41 (2002) no. 2, pp. 155-165

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The complexity of index sets of families of general recursive functions is evaluated in the Kleene – Mostowski arithmetic hierarchy.
Keywords: general recursive function, computable family of general recursive functions, discrete family of general recursive functions, effectively discrete family of general recursive functions.
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     author = {Yu. D. Korolkov},
     title = {Evaluating the {Complexity} of {Index} {Sets} for {Families} of {General} {Recursive} {Functions} in the {Arithmetic} {Hierarchy}},
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Yu. D. Korolkov. Evaluating the Complexity of Index Sets for Families of General Recursive Functions in the Arithmetic Hierarchy. Algebra i logika, Tome 41 (2002) no. 2, pp. 155-165. http://geodesic.mathdoc.fr/item/AL_2002_41_2_a3/