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Part II: OWL - Foundations of Semantic Web Technologies

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DL Tableaux Termination Problem<br />

TBox: ∃R.><br />

ABox: >(a 1 )<br />

Is satisfiable:<br />

Model M contains elements a 1M ,a 2M ,...<br />

and R M (a iM ,a i+1M ) for all i ≥ 1.<br />

But naive tableau does not terminate!<br />

R R R<br />

a 1<br />

x y<br />

><br />

∃R.><br />

><br />

∃R.><br />

><br />

∃R.><br />

51

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