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The Shape of Proofs: A Tale of Three Calculi (Extended Version)
Christian Alrabbaa, Stefan Borgwardt, Philipp Herrmann +1
Consequence-based reasoning can be used to construct proofs that explain entailments of description logic (DL) ontologies. In the literature, one can find multiple consequence-base…
Concrete Domains Meet Expressive Cardinality Restrictions in Description Logics (Extended Version)
Franz Baader, Stefan Borgwardt, Filippo De Bortoli +1
Standard Description Logics (DLs) can encode quantitative aspects of an application domain through either number restrictions, which constrain the number of individuals that are in…
The Precise Complexity of Reasoning in with -Admissible Concrete Domains (Extended Version)
Stefan Borgwardt, Filippo De Bortoli, Patrick Koopmann
Concrete domains have been introduced in the context of Description Logics to allow references to qualitative and quantitative values. In particular, the class of -admissible co…
Combining Proofs for Description Logic and Concrete Domain Reasoning (Technical Report)
Christian Alrabbaa, Franz Baader, Stefan Borgwardt +2
Logic-based approaches to AI have the advantage that their behavior can in principle be explained with the help of proofs of the computed consequences. For ontologies based on Desc…
Evonne: Interactive Proof Visualization for Description Logics (System Description) -- Extended Version
Christian Alrabbaa, Franz Baader, Stefan Borgwardt +3
Explanations for description logic (DL) entailments provide important support for the maintenance of large ontologies. The "justifications" usually employed for this purpose in ont…