Completely mitotic R.E. degrees

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Completely Mitotic r.e. Degrees

An r.e. set A is called mitotic if there exist a pair of disjoint r.e. sets Al, A2 with A, UA, = A (in this case we write AI UA, =A) such that AI =,.A2 sTA. We refer to such a splitting as a mitotic splitting of A. Lachlan [lo] was the first person to show that not all, r.e. sets are mitotic. More extensive investigations into (non)mitoticity were provided by Ladner [ll, 121 who constructed var...

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ژورنال

عنوان ژورنال: Annals of Pure and Applied Logic

سال: 1989

ISSN: 0168-0072

DOI: 10.1016/0168-0072(89)90011-0