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From Tableaux to Automata for Description Logics

Baader F., Hladik J., Lutz C., Wolter F.

Fundamenta Informaticae

2003

Vol. 57, nr 2-4

247--279

This paper investigates the relationship between automata- and tableau-based inference procedures for description logics. To be more precise, we develop an abstract notion of what a tableau-based algorithm is, and then show, on this abstract level, how tableau-based algorithms can be converted into automata-based algorithms. In particular, this allows us to characterize a large class of tableau-based algorithms that imply an ExpTime upper-bound for reasoning in the description logics for which such an algorithm exists.