Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logical depth for reversible Turing machines with an application to the
  rate of decrease in logical depth for general Turing machines   The logical depth of a {\em reversible} Turing machine equals the shortest
running time of a shortest program for it. This is applied to show that the
result in L.F. Antunes, A. Souto, and P.M.B. Vit\'anyi, On the Rate of Decrease
in Logical Depth, Theor. Comput. Sci., 702(2017), 60--64 is valid
notwithstanding the error noted in Corrigendum P.M.B. Vit\'anyi, Corrigendum to
"On the rate of decrease in logical depth" by L.F. Antunes, A. Souto, and
P.M.B. Vit\'anyi [Theoret. Comput. Sci. 702 (2017) 60--64], {\em Theoret.
Comput. Sci.}, https://doi.org/10.1016/j.tcs.2018.07.009 . /

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The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th