# Existential Rule Languages with Finite Chase: Complexity and Expressiveness

arXiv: https://arxiv.org/abs/1411.5220 · HTML: https://mlsanity.com/paper/1411.5220/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 19 Nov 2014.

## Built on by (most cited first, 1 of 1)

- [Characterizing the Program Expressive Power of Existential Rule Languages](https://mlsanity.com/paper/2112.08136/) (2021)

## Abstract (arXiv)

Finite chase, or alternatively chase termination, is an important condition to ensure the decidability of existential rule languages. In the past few years, a number of rule languages with finite chase have been studied. In this work, we propose a novel approach for classifying the rule languages with finite chase. Using this approach, a family of decidable rule languages, which extend the existing languages with the finite chase property, are naturally defined. We then study the complexity of these languages. Although all of them are tractable for data complexity, we show that their combined complexity can be arbitrarily high. Furthermore, we prove that all the rule languages with finite chase that extend the weakly acyclic language are of the same expressiveness as the weakly acyclic one, while rule languages with higher combined complexity are in general more succinct than those with lower combined complexity.