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Post's Problem for Reducibilities of Bounded Complexity
Authors:Valeriy K. Bulitko
Abstract:In this paper we consider the we known method by E. Post of solving the problem of construction of recursively enumerable sets that have a degree intermediate between the degrees of recursive and complete sets with respect to a given reducibility. Post considered reducibilities ≤m, ≤btt, ≤tt and ≤T and solved the problem for al of them except ≤T. Here we extend Post's original method of construction of incomplete sets onto two wide classes of sub‐Turing reducibilities what were studying in [1, 2].
Keywords:sub‐Turing reducibility  Turing degree  Post's problem  hyper‐simple set  radius of recursiveness
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