Abstract
Hybrid \(\cal EL\)-TBoxes combine general concept inclusions (GCIs), which are interpreted with descriptive semantics, with cyclic concept definitions, which are interpreted with greatest fixpoint (gfp) semantics. We introduce a proof-theoretic approach that yields a polynomial-time decision procedure for subsumption, and present a proof-theoretic computation of least common subsumers in \(\cal EL\) w.r.t. hybrid TBoxes.
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Novaković, N. (2008). A Proof-Theoretic Approach to Deciding Subsumption and Computing Least Common Subsumer in \(\cal EL\) w.r.t. Hybrid TBoxes. In: Hölldobler, S., Lutz, C., Wansing, H. (eds) Logics in Artificial Intelligence. JELIA 2008. Lecture Notes in Computer Science(), vol 5293. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87803-2_26
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DOI: https://doi.org/10.1007/978-3-540-87803-2_26
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