Complexity of Reasoning

We present lower bounds on the computational complexity of satisfiability and subsumption in several description logics. We interpret these lower bounds as coming from different “sources of complexity”, which we isolate one by one. We consider both reasoning with simple concept expressions and with an underlying TBox. We discuss also complexity of instance check in simple ABoxes. We tried to enhance clarity and ease of presentation, sometimes sacrificing exhaustiveness for lack of space.

• Type: Conference
• Year: 2003
• Where: DLOG
• Authors: Francesco M. Donini
• Keywords: Automated Reasoning, Computational Complexity, DLOG 2003, Lower Bounds, Simple Concept Expressions