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Modal Logics of Topological Relations

Carsten Lutz ; Frank Wolter.

Logical formalisms for reasoning about relations between spatial regions play a fundamental role in geographical information systems, spatial and constraint databases, and spatial reasoning in AI. In analogy with Halpern and Shoham's modal logic of time intervals based on the Allen relations, we&nbsp;[&hellip;]

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Rewritability in Monadic Disjunctive Datalog, MMSNP, and Expressive Description Logics

Cristina Feier ; Antti Kuusisto ; Carsten Lutz.

We study rewritability of monadic disjunctive Datalog programs, (the complements of) MMSNP sentences, and ontology-mediated queries (OMQs) based on expressive description logics of the ALC family and on conjunctive queries. We show that rewritability into FO and into monadic Datalog (MDLog) are&nbsp;[&hellip;]

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The Data Complexity of Ontology-Mediated Queries with Closed Predicates

Carsten Lutz ; Inanc Seylan ; Frank Wolter.

In the context of ontology-mediated querying with description logics (DLs), we study the data complexity of queries in which selected predicates can be closed (OMQCs). We provide a non-uniform analysis, aiming at a classification of the complexity into tractable and non-tractable for ontologies in&nbsp;[&hellip;]

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