Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithmic Introduction of Quantified Cuts   We describe a method for inverting Gentzen's cut-elimination in classical
first-order logic. Our algorithm is based on first computign a compressed
representation of the terms present in the cut-free proof and then cut-formulas
that realize such a compression. Finally, a proof using these cut-formulas is
constructed. This method allows an exponential compression of proof length. It
can be applied to the output of automated theorem provers, which typically
produce analytic proofs. An implementation is available on the web and
described in this paper.

3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph