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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;]
Published on June 22, 2006
Volume 2, Issue 2

The Data Complexity of Description Logic Ontologies

Carsten Lutz ; Frank Wolter.
We analyze the data complexity of ontology-mediated querying where the ontologies are formulated in a description logic (DL) of the ALC family and queries are conjunctive queries, positive existential queries, or acyclic conjunctive queries. Our approach is non-uniform in the sense that we aim to&nbsp;[&hellip;]
Published on November 13, 2017
Volume 13, Issue 4
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