Conjunctive query entailment over S description logic knowledge bases is 2ExpTime-complete even with two transitive roles and Boolean queries, but drops to coNExpTime for rooted queries or single transitive role.
We call the computation tree I acceptingif q=q acc in each (q, a, i)-configuration node without successor configu- ration nodes
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Revisiting Conjunctive Query Entailment for $\mathcal S$
Conjunctive query entailment over S description logic knowledge bases is 2ExpTime-complete even with two transitive roles and Boolean queries, but drops to coNExpTime for rooted queries or single transitive role.