{"paper":{"title":"Beyond LLMs, Sparse Distributed Memory, and Neuromorphics <A Hyper-Dimensional SRAM-CAM \"VaCoAl\" for Ultra-High Speed, Ultra-Low Power, and Low Cost>","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Inverting Galois-field algebra in hyperdimensional computing creates a predictable STDP-equivalent selection mechanism.","cross_cats":["cs.AI"],"primary_cat":"cs.NE","authors_text":"Hiroyuki Chuma, Kanji Otsuka, Yoichi Sato","submitted_at":"2026-04-13T16:13:17Z","abstract_excerpt":"This paper reports an unexpected finding: in a deterministic hyperdimensional computing (HDC) architecture **that inverts the conventional role of Galois-field algebra -- employing it not for error correction toward a unique answer but as an engine for relative similarity and path-quality ranking -- **a path-dependent semantic selection mechanism emerges, equivalent to spike-timing-dependent plasticity (STDP), with magnitude predictable a priori from a closed-form expression matching measured values. Addressing catastrophic forgetting, learning stagnation, and the Binding Problem at an algebra"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"In a deterministic HDC architecture that inverts the conventional role of Galois-field algebra, a path-dependent semantic selection mechanism emerges equivalent to STDP, with magnitude predictable a priori from a closed-form expression matching measured values; VaCoAl defines a third paradigm HDC-AI with a phase transition and Kuhnian paradigm shift.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the inversion of Galois-field algebra for relative similarity ranking produces an STDP-equivalent mechanism whose magnitude is independently predictable from a closed-form expression rather than being a direct consequence of the ranking definition itself, and that this architecture structurally solves catastrophic forgetting and the binding problem at an algebraic level.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"VaCoAl is a hyperdimensional algorithm using inverted Galois-field operations on high-dimensional binary spaces to enable path-dependent semantic selection equivalent to STDP, with a claimed closed-form magnitude, demonstrated on large Wikidata relation graphs.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Inverting Galois-field algebra in hyperdimensional computing creates a predictable STDP-equivalent selection mechanism.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"83e1975be78208ac4c005d1da7f28c954e58f04688243f240520eee3a8355d80"},"source":{"id":"2604.11665","kind":"arxiv","version":5},"verdict":{"id":"e725a4c9-db12-4917-8591-a3828f2a19fe","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T16:13:54.469418Z","strongest_claim":"In a deterministic HDC architecture that inverts the conventional role of Galois-field algebra, a path-dependent semantic selection mechanism emerges equivalent to STDP, with magnitude predictable a priori from a closed-form expression matching measured values; VaCoAl defines a third paradigm HDC-AI with a phase transition and Kuhnian paradigm shift.","one_line_summary":"VaCoAl is a hyperdimensional algorithm using inverted Galois-field operations on high-dimensional binary spaces to enable path-dependent semantic selection equivalent to STDP, with a claimed closed-form magnitude, demonstrated on large Wikidata relation graphs.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the inversion of Galois-field algebra for relative similarity ranking produces an STDP-equivalent mechanism whose magnitude is independently predictable from a closed-form expression rather than being a direct consequence of the ranking definition itself, and that this architecture structurally solves catastrophic forgetting and the binding problem at an algebraic level.","pith_extraction_headline":"Inverting Galois-field algebra in hyperdimensional computing creates a predictable STDP-equivalent selection mechanism."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.11665/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}