---
title: "Query Answering with Transitive and Linear-Ordered Data"
authors:
  - "Antoine Amarilli"
  - "Michael Benedikt"
  - "Pierre Bourhis"
  - "Michael Vanden Boom"
doi: ""
url: "https://ijcai.org/proceedings/2016/131"
pdf: "https://ijcai.org/proceedings/2016/0131.pdf"
venue: "Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence"
year: 2016
pages: "893-898"
track: ""
keywords:
---

# Query Answering with Transitive and Linear-Ordered Data

Antoine Amarilli, Michael Benedikt, Pierre Bourhis, Michael Vanden Boom

*Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence*, pages 893-898.

## Abstract

We consider entailment problems involving powerful constraint languages such as guarded existential rules, in which additional semantic restrictions are put on a set of distinguished relations. We consider restricting a relation to be transitive, restricting a relation to be the transitive closure of another relation, and restricting a relation to be a linear order. We give some natural generalizations of guardedness that allow inference to be decidable in each case, and isolate the complexity of the corresponding decision problems. Finally we show that slight changes in our conditions lead to undecidability.