Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deciding Entailment of Implications with Support and Confidence in
  Polynomial Space   Association Rules are a basic concept of data mining. They are, however, not
understood as logical objects which can be used for reasoning. The purpose of
this paper is to investigate a model based semantic for implications with
certain constraints on their support and confidence in relational data, which
then resemble association rules, and to present a possibility to decide
entailment for them.

7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol