A Survey of Muchnik and Medvedev degrees

Details A Survey of Muchnik and Medvedev degrees A Survey of Muchnik and Medvedev degrees

2010-07-14

arxiv.org/abs/1007.2376v1

Mathematics

Logic

70 pages

Scientific paper

We survey the theory of Muchnik (weak) and Medvedev (strong) degrees of
subsets of ${}^\omega\omega$ with particular attention to the degrees of
$\Pi^0_1$ subsets of ${}^\omega2$. Later sections present proofs, some more
complete than others, of the major results of the subject.

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