Index Set of Linear Orderings that are Autostable Relative to Strong Constructivizations


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We prove that a computable ordinal α is autostable relative to strong constructivizations if and only if α < ωω+1. We obtain an estimate of the algorithmic complexity for the class of strongly constructivizable linear orderings that are autostable relative to strong constructivizations.

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S. Goncharov

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

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Email: s.s.goncharov@math.nsc.ru
俄罗斯联邦, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090

N. Bazhenov

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

Email: s.s.goncharov@math.nsc.ru
俄罗斯联邦, 4, pr. Akad. Koptyuga, Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090

M. Marchuk

Sobolev Institute of Mathematics SB RAS

Email: s.s.goncharov@math.nsc.ru
俄罗斯联邦, 4, pr. Akad. Koptyuga, Novosibirsk, 630090

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