Proceedings

Configuring Neuro-Symbolic Systems with Guaranteed Properties with Application in Hybrid Intelligence

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Proceedings of the Thirty-Fifth International Joint Conference on Artificial Intelligence. Doctoral Consortium. Pages 8323-8324.

https://doi.org/10.24963/ijcai.2026/940

Abstract

Neuro-symbolic systems are a promising paradigm for Hybrid Intelligence (HI), combining the complementary strengths of symbolic reasoning and machine learning in human-AI interactions. However, designing architectures that satisfy desired properties currently relies on informal reasoning, rather than a rigorous framework. Our research addresses this gap by developing a formal intermediate layer that links architecture design to system properties. Building on the visual pattern language of the Boxology for neuro-symbolic systems, we develop a mathematical formalization that is grounded in Category Theory, in order to enable proof-based guarantees of properties. The soundness of this formalism will be demonstrated through empirical case studies of existing Hybrid Intelligence systems. This work advances the theoretical foundations of neuro-symbolic AI by supporting principled design of HI systems.

Johannes E. Bendler. 2026. Configuring Neuro-Symbolic Systems with Guaranteed Properties with Application in Hybrid Intelligence. In Proceedings of the Thirty-Fifth International Joint Conference on Artificial Intelligence, IJCAI-26. IJCAI, 8323–8324. https://doi.org/10.24963/ijcai.2026/940
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