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docs(dr3) S3a–S3c: Cartesian reference, holographic focus, DR256³ validation plan - #1747
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Architecture correction approved by the operator on 2026-10-23. Adds one marked supersession block under the title and inline markers on the sentences that state a root assumption (A1-A7). Canonical text and the representation seams are in #1753 (d-native-first-dependency-correction-v1.md, d-native-repr-contract-v1.md). No other text in this plan changes; the #1744/#1745/#1750 S0 dispute is unchanged. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01G22yT6htkcdyXsihxxXdrg
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…1754) Marked supersession: 'R2IL polyfill' reads as the R2IL router (D-MPF-4), and [7] is the lance-graph-onnx leaf facade. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01G22yT6htkcdyXsihxxXdrg
S3a–S3c: DR64³ Cartesian reference, holographic focus and optional DR256³ validation
Status: research plan only. No cubic ABI, new global ID, resident cube or performance result.
Typed geometry and source-backed constraints
Existing Boolean
relcomp::composealready computesR:X→Y,S:Y→Zwith Y contracted (a conceptual X×Y×Z iteration space). Proposed triangle(R∘S)∧Qrequires explicit closing relation Q:X→Z and guards not automatically guaranteed by Chain adjacency. DR64² is 512 B, DR256² is 8 KiB; logical DR64³ would be 32 KiB, DR256³ 2 MiB, not mandated allocations. Quadratic ratio 1/16, full cube 1/64. The 64-thought occupancy plane is a distinct representation.OP-ONNX-4 unresolved:
relcomp.rsanddir-rmap-probe/src/compose.rsenumerate set-bit positions;qr.rsprohibits positional scanning under D-RU-6. Determine whether verified intra-register enumeration is admissible separately from forbidden value-steered cross-table gathers. No assumption or rule change without contract owner.New compiled-palette identity contract
AdaWorldAPI/ndarrayBurn has d_head-keyed CompiledAttention and shape-matched CompiledLinear (source inspected). DR global-to-local binding must not inherit these insufficient keys. Admit only witnessed model, layer, weight/codebook/calibration revision, assignment, source frame, focus/scope and typed semiring; changed source or stale codebook must refuse. Existing BGZ/Helix 256² metric-LUT proofs are not DR256³ or ONNX MatMul certification.Gates: independent scalar Cartesian oracle; legal address/focus dependency closure; missing-coordinate and mismatched-identity negative cases; explicitly measured binding/expansion/materialization. DR256³ utility separately falsifiable and not required for #1748 or #1749.
Related #1744 / #1745 / #1750 S0 conflict, #1746 semantics, #1748 physical shootout, #1749 identity reuse, EXO-50. Docs only, no authorization.
Dependency clarification: #1751
The first Optimum → BGZ/CompiledLinear one-layer probe does not require DR64³, DR256³ or another global identity representation. DR64/DR256 focus is an optional later physical execution strategy requiring its own source/focus/scope/identity witnesses. No palette-byte-to-foreign-ordinal reinterpretation. The source-matched compiler sidecar cannot bypass ADMISSION B.
⊘ Supersession — D-NFC (2026-10-23, operator-approved architecture correction)
Canonical dependency diagram and root assumptions: #1753 (
d-native-first-dependency-correction-v1.md); shipped / lab / missing seams:d-native-repr-contract-v1.mdthere.P0 invariants. (1) ONNX is an external mathematical compatibility specification; the existing R2IL polyfill is the native starting point; no ONNX graph, Tract runtime or Optimum dependency in the internal execution path. (2) Quack binding + DR64³ + Palette256³ is the intended native representation; existing R2IL, mask-risc, BGZ, Helix and ndarray primitives are reused; implemented components and unimplemented integration contracts are kept apart.
For this PR:
dr-math-binding-probe); the 256-slot global → local focus is LAB (dir-rmap-probe); the third axis has no type (the register is DR64²). Nothing here claims more.Where this description or the plan says otherwise, it is superseded at the marked ⊘ points (plan commit
7939ebcc8). Nothing is merged, no ABI or execution contract changes, and the #1744 / #1745 / #1750 S0 dispute is unchanged.