The Π3-theory of the -enumeration degrees is undecidable

Author:

Kent Thomas F.

Abstract

AbstractWe show that in the language of { ≤ }. the Π3-fragment of the first order theory of the -enumeration degrees is undecidable. We then extend this result to show that the Π3-theory of any substructure of the enumeration degrees which contains the -degrees is undecidable.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Strong minimal pairs in the enumeration degrees;Annals of Pure and Applied Logic;2024-12

2. Extensions of two constructions of Ahmad;Computability;2022-12-21

3. ON CUPPING AND AHMAD PAIRS;The Journal of Symbolic Logic;2022-12-11

4. Fragments of the theory of the enumeration degrees;Advances in Mathematics;2021-06

5. S. Barry Cooper (1943–2015);Computability;2018-06-07

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