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[ARTICLE · art-103957] src=arxiv.org ↗ pub= topic=artificial-intelligence verified=true sentiment=· neutral

RDFdL: Integrating RDF with Differential Dynamic Logic

Researchers propose RDFdL, a framework integrating RDF knowledge graphs with Differential Dynamic Logic (dL) to represent and reason about both static knowledge and continuous dynamics of physical systems, addressing a gap for AI-driven cyber-physical systems. The framework translates differential equations and state-space ranges into RDF and SHACL, linking verification results for safety and reachability properties to SPARQL queries. Implemented using Apache Jena and KeYmaera X, the approach is demonstrated in a manufacturing context.

read1 min views1 publishedAug 20, 2026

arXiv:2608.18165v1 Announce Type: new Abstract: Knowledge graphs modeled in RDF are powerful for describing static knowledge, but they cannot capture or reason about the dynamic behavior of physical systems, e.g., systems described by differential equations, which is a critical gap for AI-driven cyber-physical systems. To solve this, we propose RDFdL, a framework that integrates RDF with Differential Dynamic Logic (dL) to represent and reason about both static knowledge and the continuous dynamics of physical systems. For the dynamic part, we syntactically represent differential equations and ranges in the state space in RDF and SHACL and provide semantics using a translation to dL. Linking RDF and dL through their shared foundation in first-order logic achieves a unique integration: verification results for safety and reachability properties in the dynamic logic domain become available as entailment to SPARQL queries over RDF data. We implement the pipeline using Apache Jena for ontology-driven RDF reasoning and KeYmaera X, the theorem prover for dL, and sketch its applicability in manufacturing.

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