A single memristive junction can now store an entire logical assertion, turning the physical wiring of a chip into a reasoning engine.
April 24, 2026
Original Paper
Ternary Memristive Logic: Hardware for Reasoning Realized via Domain Algebra
arXiv · 2604.20891
The Takeaway
Traditional computers separate the processor from the software logic, creating a bottleneck as data moves back and forth. This hardware architecture embeds logic directly into the physical layout of memristors using domain algebra. Each junction acts as a piece of a reasoning puzzle rather than just a simple switch for binary bits. This shift means a chip can perform complex logical inference without any symbolic software instructions running on top of it. Moving AI reasoning from code to hardware could drastically reduce power consumption for edge devices. Hardware design becomes the algorithm itself in this new paradigm.
From the abstract
Memristive crossbars store numerical weights needing aggregation and decoding; a single junction means nothing alone. This paper presents a fundamentally different use: each junction stores a complete, domain-scoped logical assertion (holds/negated/undefined). Ternary resistance states encode these values directly. We establish a structure-preserving mapping from a domain algebra to crossbar topology: domains become isolated arrays, specialization becomes directed wiring, relation typing control