Research of the Knowledge Reasoning Based on Extensional Description Logics ALC-Plus

Abstract

This article first extends Description Logics ALC and put forward ALC, which is extended on ALC by adding transitive role, inverse role, role disjunction, role composition and general number restriction, and defines its syntax and semantics. Then, we discuss the mainly knowledge reasoning problem about concept satisfiability of ALC, and give the determinant algorithm of the concept satisfiability based on Tableau. Finally, by proofing and get several properties of Tableau-algorithm, such as, soundness, termination and completeness. Keywords-Desciption logics; ALC-plus ;satisfiability; Tableaualgorithm