Hey Pentti, We Did (More of) It!: A Vector-Symbolic Lisp With Residue Arithmetic

arXiv — cs.LG•Thursday, November 13, 2025 at 5:00:00 AM

The recent publication titled 'Hey Pentti, We Did (More of) It!: A Vector-Symbolic Lisp With Residue Arithmetic' presents a significant advancement in the field of artificial intelligence. By extending the Vector-Symbolic Architecture (VSA) with Frequency-domain Holographic Reduced Representations (FHRRs) and incorporating arithmetic operations through Residue Hyperdimensional Computing (RHC), the authors aim to encode a Turing-complete syntax over a high-dimensional vector space. This approach is expected to increase the expressivity of neural network states, enabling them to represent complex structures in a more interpretable manner. The implications of this work are profound, as it emphasizes the importance of structured representations in designing neural networks that are sensitive to the underlying structure of their data. Such advancements could pave the way for the creation of more general intelligent agents, enhancing the capabilities of machine learning systems and potential…

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