Despite appearances, perhaps the internal representations of neural networks implicitly realize symbolic structure. In support of this hypothesis, we show that the vector representations of a variety of neural networks can be closely approximated with symbolic structures: we can replace the network's entire representation-generating process with a closed-form equation instantiating a symbolic structure, and the network's behavior remains largely unchanged.
The Emergent Symbolic Structure of Artificial Neural Networks · hn · R. Thomas McCoy, Paul Soulos, Tal Linzen, and Paul Smolensky · 30 August 2026