A tableaux decision procedure for SHOIQ
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TL;DR
This paper presents a tableaux decision procedure for SHOIQ, the DL underlying OWL DL, and to the best of the knowledge, this is the first goal-directed decision procedure to be presented.
Abstract
OWL DL, a new W3C ontology language recommendation, is based on the expressive description logic SHOIN. Although the ontology consistency problem for SHOIN is known to be decidable, up to now there has been no known “practical ” decision procedure, i.e., a goal directed procedure that is likely to perform well with realistic ontology derived problems. We present such a decision procedure (for SHOIQ, a slightly more expressive logic than SHOIN), extending the well known algorithm for SHIQ,
