# Oblivious and Semi-Oblivious Boundedness for Existential Rules

arXiv: https://arxiv.org/abs/2006.08467 · HTML: https://mlsanity.com/paper/2006.08467/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Jun 2020.

## Built on by (most cited first, 2 of 2)

- [Parallelisable Existential Rules: a Story of Pieces](https://mlsanity.com/paper/2107.06054/) (2021)
- [Non-Uniformly Terminating Chase: Size and Complexity](https://mlsanity.com/paper/2204.10584/) (2022)

## Abstract (arXiv)

We study the notion of boundedness in the context of positive existential rules, that is, whether there exists an upper bound to the depth of the chase procedure, that is independent from the initial instance. By focussing our attention on the oblivious and the semi-oblivious chase variants, we give a characterization of boundedness in terms of FO-rewritability and chase termination. We show that it is decidable to recognize if a set of rules is bounded for several classes and outline the complexity of the problem. This report contains the paper published at IJCAI 2019 and an appendix with full proofs.