Data Complexity in Expressive Description Logics With Path Expressions

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Data Complexity in Expressive Description Logics With Path Expressions

Vortrag von Bartosz Bednarczyk
In my recent IJCAI paper I established NP-completeness of the satisfiability problem (w.r.t. the data complexity) of the maximal known decidable fragments ZIQ, ZOQ, and ZOI of the very description logic ZOIQ (a.k.a. ALCHb^self_regOIQ).

The proof uniformly deals with these three logics, by considering the DL ZOIQ but over forest-like structures dubbed quasi-forests.

During the talk, I will give a high-level overview of the proof, and discuss its main ingredients and challenges.