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On the phenomenon of autocomputability

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Monash University Figshare2026-02-11 更新2026-07-07 收录
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Following Trakhtenbrot's concept of autoreducible set, we look at the general phenomenon of autocomputability of infinite binary sequences. We define another appropriate mathematical model of this concept: the strongly autoreducible set. For this purpose, we need to introduce a natural restricted form of wtt-reduction between sets: minimal weak truth table reduction. Then we prove several basic facts about strongly autoreducible sets.

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2022-08-31
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