Priority arguments and separation problems

Alexander Shen

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arXiv · 1811.06860

Priority arguments and separation problems

Alexander Shen

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Abstract

Different constructions in the recursion theory use the so-called priority arguments. A general scheme was suggested by A.~Lachlan. Based on his work, we define the notion of a priority-closed class of requirements. Then, for a specific priority construction, we need to check only that all requirements we want to satisfy belong to some priority-closed class (defined in game terms). This game version of Lachlan's approach is used to present some results about recursively inseparable sets obtained by the author.

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Alexander Shen. 2018-11-16. Priority arguments and separation problems. https://arxiv.org/abs/1811.06860

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