Toward short and structural ALC-reasoning explanations: A sequent calculus approach

Abstract

This article presents labelled sequent calculi and for the basic Description Logic (DL) . Proposing Sequent Calculus (SC) for dealing with DL reasoning aims to provide a more structural way to generated explanations, from proofs as well as counter-models, in the context of Knowledge Base and Ontologies authoring tools. The ability of providing short (Polynomial) proofs is also considered as an advantage of SC-based explanations with regard to the well-known Tableaux-based reasoners. Both, and satisfy cut-elimination, while also provides counter-example from unsuccessful proof-trees. Some suggestions for extracting explanations from proofs in the presented systems is also discussed. © 2008 Springer Berlin Heidelberg.