Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extending Acyclicity Notions for Existential Rules (\emph{long version})   Existential rules have been proposed for representing ontological knowledge,
specifically in the context of Ontology-Based Query Answering. Entailment with
existential rules is undecidable. We focus in this paper on conditions that
ensure the termination of a breadth-first forward chaining algorithm known as
the chase. First, we propose a new tool that allows to extend existing
acyclicity conditions ensuring chase termination, while keeping good complexity
properties. Second, we consider the extension to existential rules with
nonmonotonic negation under stable model semantics and further extend
acyclicity results obtained in the positive case.

37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin