Logic on MARS: Ontologies for Generalised Property Graphs

Logic on MARS: Ontologies for Generalised Property Graphs

Maximilian Marx, Markus Krötzsch, Veronika Thost

Proceedings of the Twenty-Sixth International Joint Conference on Artificial Intelligence
Main track. Pages 1188-1194. https://doi.org/10.24963/ijcai.2017/165

Graph-structured data is used to represent large information collections, called knowledge graphs, in many applications. Their exact format may vary, but they often share the concept that edges can be annotated with additional information, such as validity time or provenance information. Property Graph is a popular graph database format that also provides this feature. We give a formalisation of a generalised notion of Property Graphs, called multi-attributed relational structures (MARS), and introduce a matching knowledge representation formalism, multi-attributed predicate logic (MAPL). We analyse the expressive power of MAPL and suggest a simpler, rule-based fragment of MAPL that can be used for ontological reasoning on Property Graphs. To the best of our knowledge, this is the first approach to making Property Graphs and related data structures accessible to symbolic AI.
Keywords:
Knowledge Representation, Reasoning, and Logic: Computational Complexity of Reasoning
Knowledge Representation, Reasoning, and Logic: Description Logics and Ontologies
Knowledge Representation, Reasoning, and Logic: Knowledge Representation Languages
Knowledge Representation, Reasoning, and Logic: Logics for Knowledge Representation