An Interval of Computably Enumerable Isolating Degrees
โ Scribed by Matthew C. Salts
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 850 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0044-3050
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โฆ Synopsis
Abstract
We construct computably enumerable degrees a < b such that all computably enumerable degrees c with a < c < b isolate some d. c. e. degree d.
๐ SIMILAR VOLUMES
We show that the theory of the partial ordering of the computably enumerable degrees in any given nontrivial interval is undecidable and has uncountably many 1-types.
We investigate the orbit of a low computably enumerable (c.e.) set under automorphisms of the partial order E of c.e. sets under inclusion. Given an arbitrary low c.e. set A and an arbitrary noncomputable c.e. set C, we use the New Extension Theorem of Soare to construct an automorphism of E mapping