The Existential Theory of the Poset of R . E . Degrees
نویسنده
چکیده
We show the decidability of the existential theory of the recursively enumerable degrees in the language of Turing reducibility, Turing reducibility of the Turing jumps, and least and greatest element. The Existential Theory of the Poset of R.E. Degrees with a Predicate for Single Jump Reducibility
منابع مشابه
The Decidability of the Existential Theory of the Poset of Recursively Enumerable Degrees with Jump Relations
We show that the existential theory of the recursively enumerable degrees in the language L containing predicates for order and n-jump comparability for all n, and constant symbols for least and greatest elements, is decidable. The decidability follows from our main theorem, where we show that any finite L-structure which is consistent with the order relation, the order-preserving property of t...
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