Using Tableau to Decide Expressive Description Logics with Role Negation

From semanticweb.org

A paper written by Dmitry Tishkovsky and Renate Schmidt. It was presented at the ISWC2007+ASWC2007.

[edit] Abstract

This paper presents a tableau approach for deciding description logics outside the scope of OWL DL and current state-of-the-art tableau-based description logic systems. In particular, we define a sound and complete tableau calculus for the description logic ALBO and show that it provides a basis for decision procedures for this logic and numerous other description logics with full role negation. ALBO is the extension of ALC with the Boolean role operators, inverse of roles, domain and range restriction operators and it includes full support for objects (nominals). ALBO is a very expressive description logic which is NExpTime complete and subsumes Boolean modal logic and the two-variable fragment of first-order logic. An important novelty is the use of a versatile, unrestricted blocking rule as a replacement for standard loop checking mechanisms implemented in description logic systems. An implementation of our approach exists in the MetTeL system.

A linked list of all papers is provided in the article on ISWC2007+ASWC2007 papers. This article has originally been created from the ISWC 2007/ASWC 2007 metadata.