Lachlan Non-Splitting Pairs and high computably enumerable Turing degrees

A given c.e. degree a > 0 has a non-trivial splitting into c.e. degrees v and w if a is the join of v and w and v | w. A Lachlan Non-Splitting Pair is a pair of c.e. degrees < a,d > such that a > d and there is no non-trivial splitting of a into c.e. degrees w and v with w > d and v &...

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Bibliographic Details
Main Author: Bondin, Ingram
Other Authors: Cooper, S. Barry ; MacPherson, Dugald ; Lewis-Pye, Andrew
Published: University of Leeds 2018
Subjects:
510
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.758317