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Paper · arXiv

Ternary Memristive Logic: Hardware for Reasoning Realized via Domain Algebra

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 controls inheritance gates, and cross-domain links become explicit registers. The physical layout thus embodies the algebra; changing wiring changes reasoning semantics. We detail an ICD-11 respiratory di...

AuthorsChao Li
Primary categorycs.AR
Published20 April 2026
Last updated at source28 April 2026
cs.ARcs.AIcs.ETcs.LO
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