RDFdL Integrates Knowledge Graphs with Dynamic System Logic.

Yuyang Li, Lukas Kubelka, Julia Butte, Tobias K\"afer· August 20, 2026 View original

Key takeaways

  • Traditional knowledge graphs struggle with dynamic system behavior.
  • RDFdL integrates RDF with Differential Dynamic Logic to model static and dynamic knowledge.
  • This framework allows formal verification of safety and reachability in cyber-physical systems.
  • Verification results become accessible via SPARQL queries over RDF data.

Who benefits

ManufacturingRoboticsAerospaceAutomotiveSmart Infrastructure

Summary

RDFdL is a new framework that integrates RDF knowledge graphs with Differential Dynamic Logic (dL) to represent and reason about both static knowledge and the continuous dynamics of physical systems. This allows for verification of safety and reachability properties in cyber-physical systems.

Knowledge graphs, typically modeled in RDF, excel at describing static information but lack the capability to represent or reason about the dynamic behavior of physical systems, especially those governed by differential equations. This limitation creates a significant gap for advanced AI-driven cyber-physical systems. To bridge this, a new framework called RDFdL has been proposed. RDFdL integrates RDF with Differential Dynamic Logic (dL), enabling the representation and reasoning of both static knowledge and continuous system dynamics. It syntactically represents differential equations and state space ranges within RDF and SHACL, providing semantics through a translation to dL. This unique integration allows verification results for safety and reachability properties from the dynamic logic domain to be accessible as entailments to SPARQL queries over RDF data. The pipeline has been implemented using Apache Jena for RDF reasoning and KeYmaera X for dL theorem proving, demonstrating its applicability in fields like manufacturing.

Why it matters

For engineers and researchers working with complex cyber-physical systems, RDFdL offers a powerful new way to ensure system safety and predict behavior by combining static knowledge with dynamic reasoning, crucial for autonomous systems.

How to implement this in your domain

  1. 1Explore the foundational concepts of Differential Dynamic Logic and its relevance to your system's dynamics.
  2. 2Evaluate existing knowledge graph implementations for their ability to integrate dynamic system models.
  3. 3Pilot RDFdL or similar frameworks for modeling and verifying safety properties in a specific cyber-physical system component.
  4. 4Train engineering teams on the principles of formal verification and knowledge graph integration for dynamic systems.
  5. 5Collaborate with academic institutions or experts in formal methods to apply this advanced reasoning to complex industrial problems.

Original post by Yuyang Li, Lukas Kubelka, Julia Butte, Tobias K\"afer

"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 g…"

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Originally posted by Yuyang Li, Lukas Kubelka, Julia Butte, Tobias K\"afer on X · view source

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