English

Complexity of the Description Logic ALCM

Logic in Computer Science 2015-11-13 v1 Artificial Intelligence

Abstract

In this paper we show that the problem of checking consistency of a knowledge base in the Description Logic ALCM is ExpTime-complete. The M stands for meta-modelling as defined by Motz, Rohrer and Severi. To show our main result, we define an ExpTime Tableau algorithm as an extension of an algorithm for checking consistency of a knowledge base in ALC by Nguyen and Szalas.

Keywords

Cite

@article{arxiv.1511.03749,
  title  = {Complexity of the Description Logic ALCM},
  author = {Monica Martinez and Edelweis Rohrer and Paula Severi},
  journal= {arXiv preprint arXiv:1511.03749},
  year   = {2015}
}

Comments

Long version of a submitted paper, 43 pages

R2 v1 2026-06-22T11:43:11.968Z