Handling Nominals and Inverse Roles using Algebraic Reasoning
  This paper presents a novel SHOI tableau calculus which incorporates
algebraic reasoning for deciding ontology consistency. Numerical restrictions
imposed by nominals, existential and universal restrictions are encoded into a
set of linear inequalities. Column generation and branch-and-price algorithms
are used to solve these inequalities. Our preliminary experiments indicate that
this calculus performs better on SHOI ontologies than standard tableau methods.
