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Interpreting N in the computably enumerable weak truth table degrees
Annals of Pure and Applied Logic 107 (1-3):35-48 (2001)
Abstract
We give a first-order coding without parameters of a copy of in the computably enumerable weak truth table degrees. As a tool, we develop a theory of parameter definable subsetsMy notes
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Citations of this work
Parameter definability in the recursively enumerable degrees.André Nies - 2003 - Journal of Mathematical Logic 3 (01):37-65.
Interpreting true arithmetic in the Δ 0 2 -enumeration degrees.Thomas F. Kent - 2010 - Journal of Symbolic Logic 75 (2):522-550.
References found in this work
Computably enumerable sets and quasi-reducibility.R. Downey, G. LaForte & A. Nies - 1998 - Annals of Pure and Applied Logic 95 (1-3):1-35.
The recursively enumerable degrees have infinitely many one-types.Klaus Ambos-Spies & Robert I. Soare - 1989 - Annals of Pure and Applied Logic 44 (1-2):1-23.
Definability in the enumeration degrees.Theodore A. Slaman & W. Hugh Woodin - 1997 - Archive for Mathematical Logic 36 (4-5):255-267.
The theory of the recursively enumerable weak truth-table degrees is undecidable.Klaus Ambos-Spies, André Nies & Richard A. Shore - 1992 - Journal of Symbolic Logic 57 (3):864-874.
An extension of the nondiamond theorem in classical and α-recursion theory.Klaus Ambos-Spies - 1984 - Journal of Symbolic Logic 49 (2):586-607.
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