Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critique of J. Kim's "P is not equal to NP by Modus Tollens"   This paper is a critique of version three of Joonmo Kim's paper entitled "P
is not equal to NP by Modus Tollens. [arXiv:1403.4143v3]" After summarizing
Kim's proof, we note that the logic that Kim uses is inconsistent, which
provides evidence that the proof is invalid. To show this, we will consider two
reasonable interpretations of Kim's definitions, and show that "P is not equal
to NP" does not seem to follow in an obvious way using any of them.

8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph