Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determinacy and Fast-growing Sequences of Turing Degrees   We discuss sufficiently fast-growing sequences of Turing degrees. The key
result is that, assuming sufficient determinacy, if $\phi$ is a formula with
one free variable, and S and T are sufficiently fast-growing sequences of
Turing degrees of length $\omega_1$, then $\phi(S) \iff \phi(T)$. We also
define degrees for subsets of $\omega_1$ analogous to Turing degrees, and prove
that under sufficient determinacy and CH, all sufficiently high degrees are
also effectively indistinguishable.

1
The categories of this paper are: cs
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics