Do Repeat Yourself: Understanding Sufficient Conditions for Restricted Chase Non-Termination
Abstract
The disjunctive restricted chase is a sound and complete procedure for solving boolean conjunctive query entailment over knowledge bases of disjunctive existential rules. Alas, this procedure does not always terminate and checking if it does is undecidable. However, we can use acyclicity notions (sufficient conditions that imply termination) to effectively apply the chase in many real-world cases. To know if these conditions are as general as possible, we can use cyclicity notions (sufficient conditions that imply non-termination). In this paper, we discuss some issues with previously existing cyclicity notions, propose some novel notions for non-termination by dismantling the original idea, and empirically verify the generality of the new criteria.
Keywords
Cite
@article{arxiv.2309.12710,
title = {Do Repeat Yourself: Understanding Sufficient Conditions for Restricted Chase Non-Termination},
author = {Lukas Gerlach and David Carral},
journal= {arXiv preprint arXiv:2309.12710},
year = {2023}
}