Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proof Procedure for Testing Membership in Regular Expressions   We propose an algorithm that test membership for regular expressions and show
that the algorithm is correct. This algorithm is written in the style of a
sequent proof system. The advantage of this algorithm over traditional ones is
that the complex conversion process from regular expressions to finite automata
is not needed. As a consequence, our algorithm is simple and extends easily to
various extensions to regular expressions such as timed regular expressions or
regular languages with the intersection.

2
The categories of this paper are: math
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga