Complexity Boundaries for Horn Description Logics

From korrekt.org

Markus Krötzsch, Sebastian Rudolph, Pascal Hitzler

Abstract. Horn description logics (Horn-DLs) have recently started to attract attention due to the fact that their (worst-case) data complexities are in general lower than their overall (i.e. combined) complexities, which makes them attractive for reasoning with large ABoxes. However, the natural question whether Horn-DLs also provide advantages for TBox reasoning has hardly been addressed so far. In this paper, we therefore provide a thorough and comprehensive analysis of the combined complexities of Horn-DLs. While the combined complexity for many Horn-DLs turns out to be the same as for their non-Horn counterparts, we identify subboolean DLs where Hornness simplifies reasoning.

Published at AAAI2007 (Conference paper)

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Citation details

Markus Krötzsch, Sebastian Rudolph, Pascal Hitzler. Complexity Boundaries for Horn Description Logics. In Proceedings of the 22nd AAAI Conference on Artficial Intelligence (AAAI-07), pp. 452–457. AAAI Press 2007.

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