Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SCL with Theory Constraints   We lift the SCL calculus for first-order logic without equality to the SCL(T)
calculus for first-order logic without equality modulo a background theory. In
a nutshell, the SCL(T) calculus describes a new way to guide hierarchic
resolution inferences by a partial model assumption instead of an a priori
fixed order as done for instance in hierarchic superposition. The model
representation consists of ground background theory literals and ground
foreground first-order literals. One major advantage of the model guided
approach is that clauses generated by SCL(T) enjoy a non-redundancy property
that makes expensive testing for tautologies and forward subsumption completely
obsolete. SCL(T) is a semi-decision procedure for pure clause sets that are
clause sets without first-order function symbols ranging into the background
theory sorts. Moreover, SCL(T) can be turned into a decision procedure if the
considered combination of a first-order logic modulo a background theory enjoys
an abstract finite model property.

32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys