Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Open-World Query Answering with Number Restrictions (Extended
  Version)   Open-world query answering is the problem of deciding, given a set of facts,
conjunction of constraints, and query, whether the facts and constraints imply
the query. This amounts to reasoning over all instances that include the facts
and satisfy the constraints. We study finite open-world query answering (FQA),
which assumes that the underlying world is finite and thus only considers the
finite completions of the instance. The major known decidable cases of FQA
derive from the following: the guarded fragment of first-order logic, which can
express referential constraints (data in one place points to data in another)
but cannot express number restrictions such as functional dependencies; and the
guarded fragment with number restrictions but on a signature of arity only two.
In this paper, we give the first decidability results for FQA that combine both
referential constraints and number restrictions for arbitrary signatures: we
show that, for unary inclusion dependencies and functional dependencies, the
finiteness assumption of FQA can be lifted up to taking the finite implication
closure of the dependencies. Our result relies on new techniques to construct
finite universal models of such constraints, for any bound on the maximal query
size.

19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat