English

ExpTime Tableaux with Global Caching for the Description Logic SHOQ

Logic in Computer Science 2014-07-22 v2

Abstract

We give the first ExpTime (complexity-optimal) tableau decision procedure for checking satisfiability of a knowledge base in the description logic SHOQ, which extends the basic description logic ALC with transitive roles, hierarchies of roles, nominals and quantified number restrictions. The complexity is measured using unary representation for numbers. Our procedure is based on global caching and integer linear feasibility checking.

Keywords

Cite

@article{arxiv.1405.7221,
  title  = {ExpTime Tableaux with Global Caching for the Description Logic SHOQ},
  author = {Linh Anh Nguyen and Joanna Golińska-Pilarek},
  journal= {arXiv preprint arXiv:1405.7221},
  year   = {2014}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1205.5838

R2 v1 2026-06-22T04:25:05.972Z