How to Build Marcus's Algebraic Mind: Algebro-Deterministic Substrate over Galois Fields
Researchers have developed a new hyperdimensional computing architecture called PyVaCoAl/VaCoAl, which is built upon an algebraic primitive of XOR-and-shift over GF(2). This architecture aims to fulfill Gary Marcus's three core components for cognitive architectures: operations over variables, recursively structured representations, and a distinction between individuals and kinds. The system supports reversible variable binding, non-commutative compositional bundling, and address-space separation, offering a functional neural substrate that more closely aligns with Marcus's specifications than previous methods. AI
IMPACT Proposes a novel architecture that may offer a more robust foundation for cognitive computing systems.