[gHashTag]

specs/ternary/ternary_xor.t27: ternary_xor(a, b) — the canonical not-linearly-separable function. A single linear neuron cannot compute XOR; this is a genuine 2-layer ternary network:

h1  = sign(a + b - 1)        # AND-like (bias -1)
h2  = sign(a + b + 1)        # OR-like  (bias +1)
out = sign(h2 + (-h1) - 1)   # h2 AND NOT h1

The bias is the neuron's threshold offset — what a trained network learns alongside the weights. On binary-embedded inputs {N=-1, P=+1} the output is exact XOR (P if the inputs differ, N if they match).

Closes #1769

Verification

• typecheck 0 err; icarus-simulate 4/4 test blocks; seal 3 backends MATCH.
• New tests/ternary_xor.rs drives all 3^2 = 9 input combinations vs an independent 2-layer reference, and asserts the four binary cases equal true XOR = ALL_PASS 9.

A recognizable ML result — the perceptron→MLP story — computed by the spec-first ternary stack. Also refined #1764 (Phase-2 must go through the HIR path: the direct interface has no data ports).

🤖 Generated with Claude Code

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📓 NotebookLM Notebook linked to this PR

• Notebook ID: b83263109fb055dc
• URL: https://notebooklm.google.com/notebook/b83263109fb055dc

This notebook contains session context, decisions, and artifacts for this work.

[github-actions]

PR Dashboard

Generated at: 2026-08-06 10:08:10 UTC

• feat(ternary): spec-first ternary XOR — a 2-layer net computes what a single neuron cannot #1770 feat(ternary): spec-first ternary XOR — a 2-layer net computes what a single neuron cannot | Created: 2026-08-06 | Updated: 2026-08-06 | 7 failing / 16 total
• feat(igla): Wave Loop 880 — module-scope [579][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1720 feat(igla): Wave Loop 880 — module-scope [579][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 879 — module-scope [577][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1711 feat(igla): Wave Loop 879 — module-scope [577][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 3 total
• feat(igla): Wave Loop 878 — module-scope [575][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1707 feat(igla): Wave Loop 878 — module-scope [575][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 3 total
• feat(igla): Wave Loop 877 — module-scope [573][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1705 feat(igla): Wave Loop 877 — module-scope [573][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 3 total
• feat(igla): Wave Loop 876 — module-scope [571][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1704 feat(igla): Wave Loop 876 — module-scope [571][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 3 total
• feat(igla): Wave Loop 875 — module-scope [569][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1700 feat(igla): Wave Loop 875 — module-scope [569][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 3 total
• feat(igla): Wave Loop 874 — module-scope [567][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1698 feat(igla): Wave Loop 874 — module-scope [567][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 873 — module-scope [565][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1695 feat(igla): Wave Loop 873 — module-scope [565][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 872 — module-scope [563][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1693 feat(igla): Wave Loop 872 — module-scope [563][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 871 — module-scope [561][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1692 feat(igla): Wave Loop 871 — module-scope [561][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 870 — module-scope [559][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1689 feat(igla): Wave Loop 870 — module-scope [559][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 869 — module-scope [557][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1687 feat(igla): Wave Loop 869 — module-scope [557][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 868 — module-scope [555][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1685 feat(igla): Wave Loop 868 — module-scope [555][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 867 — module-scope [553][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1683 feat(igla): Wave Loop 867 — module-scope [553][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 866 — module-scope [551][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1681 feat(igla): Wave Loop 866 — module-scope [551][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 865 — module-scope [549][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1679 feat(igla): Wave Loop 865 — module-scope [549][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 864 — module-scope [547][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1677 feat(igla): Wave Loop 864 — module-scope [547][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 863 — module-scope [545][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1671 feat(igla): Wave Loop 863 — module-scope [545][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 862 — module-scope [543][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1669 feat(igla): Wave Loop 862 — module-scope [543][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 861 — module-scope [541][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1667 feat(igla): Wave Loop 861 — module-scope [541][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• Wave Loop 860 — module-scope [539][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1665 Wave Loop 860 — module-scope [539][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• Wave Loop 859 — module-scope [537][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1663 Wave Loop 859 — module-scope [537][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• Wave Loop 858 — module-scope [535][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1661 Wave Loop 858 — module-scope [535][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 857 — module-scope [533][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1657 feat(igla): Wave Loop 857 — module-scope [533][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 3 total
• feat(igla): Wave Loop 856 — module-scope [531][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1655 feat(igla): Wave Loop 856 — module-scope [531][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 855 — module-scope [529][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1651 feat(igla): Wave Loop 855 — module-scope [529][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 854 — module-scope [527][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1649 feat(igla): Wave Loop 854 — module-scope [527][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 853 — [525][2]^6 Pt module-scope AoS variable from call with indexed signed writes #1647 feat(igla): Wave Loop 853 — [525][2]^6 Pt module-scope AoS variable from call with indexed signed writes | Created: 2026-08-05 | Updated: 2026-08-05 | 1 failing / 4 total
• feat(igla): Wave Loop 852 — [523][2]^6 Pt module-scope AoS variable from call with indexed signed writes #1645 feat(igla): Wave Loop 852 — [523][2]^6 Pt module-scope AoS variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 4 total
• feat(igla): Wave Loop 851 — [521][2]^6 Pt module-scope AoS variable from call with indexed signed writes #1643 feat(igla): Wave Loop 851 — [521][2]^6 Pt module-scope AoS variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 4 total
• feat(igla): Wave Loop 850 — module-scope [519][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1641 feat(igla): Wave Loop 850 — module-scope [519][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 4 total
• Wave Loop 849 — module-scope [517][2]^6 Pt packed AoS variable from call with indexed signed writes #1639 Wave Loop 849 — module-scope [517][2]^6 Pt packed AoS variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 4 total
• Wave Loop 848 — module-scope [515][2]^6 Pt packed AoS variable from call with indexed signed writes #1637 Wave Loop 848 — module-scope [515][2]^6 Pt packed AoS variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 4 total
• Wave Loop 847 — [513][2]^6 Pt non-power-of-two AoS call-write witness (1-MiBit boundary) #1635 Wave Loop 847 — [513][2]^6 Pt non-power-of-two AoS call-write witness (1-MiBit boundary) | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• Wave Loop 846 — [511][2]^6 Pt non-power-of-two AoS call-write witness #1633 Wave Loop 846 — [511][2]^6 Pt non-power-of-two AoS call-write witness | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• feat(igla): Wave Loop 845 — module-scope [509][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1631 feat(igla): Wave Loop 845 — module-scope [509][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• feat(igla): Wave Loop 844 — module-scope [507][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1629 feat(igla): Wave Loop 844 — module-scope [507][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• feat(igla): Wave Loop 843 — module-scope [505][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1627 feat(igla): Wave Loop 843 — module-scope [505][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• feat(igla): Wave Loop 842 — module-scope [503][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1625 feat(igla): Wave Loop 842 — module-scope [503][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• feat(igla): Wave Loop 841 — module-scope [501][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1623 feat(igla): Wave Loop 841 — module-scope [501][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• feat(igla): Wave Loop 840 — module-scope [499][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1621 feat(igla): Wave Loop 840 — module-scope [499][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• feat(igla): Wave Loop 839 — module-scope [497][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1619 feat(igla): Wave Loop 839 — module-scope [497][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• feat(igla): Wave Loop 838 — module-scope [495][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1617 feat(igla): Wave Loop 838 — module-scope [495][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-04 | Updated: 2026-08-04 | 1 failing / 3 total
• feat(igla): Wave Loop 837 — module-scope [493][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1615 feat(igla): Wave Loop 837 — module-scope [493][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-02 | Updated: 2026-08-02 | 1 failing / 3 total
• feat(igla): Wave Loop 836 — module-scope [491][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1613 feat(igla): Wave Loop 836 — module-scope [491][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-02 | Updated: 2026-08-02 | 1 failing / 3 total
• feat(igla): Wave Loop 835 — module-scope [489][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1611 feat(igla): Wave Loop 835 — module-scope [489][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-02 | Updated: 2026-08-02 | 1 failing / 3 total
• feat(igla): Wave Loop 834 — module-scope [487][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1609 feat(igla): Wave Loop 834 — module-scope [487][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-01 | Updated: 2026-08-01 | 1 failing / 4 total
• feat(igla): Wave Loop 833 — module-scope [485][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1607 feat(igla): Wave Loop 833 — module-scope [485][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-01 | Updated: 2026-08-01 | 1 failing / 3 total
• feat(igla): Wave Loop 832 — module-scope [483][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes #1605 feat(igla): Wave Loop 832 — module-scope [483][2]^6 Pt non-power-of-two outer-dimension array-of-struct variable from call with indexed signed writes | Created: 2026-08-01 | Updated: 2026-08-01 | 1 failing / 3 total

Summary

Status	Count
Total Open PRs	50
PRs with Failing Checks	0
PRs with All Checks Green	50
READY	0
FAILING	0
PENDING	0

Seal Status

• ⚠️ STALE -- sha256(compiler.rs)=9393a1c6258f != manifest seal=87e5cbd3ad94.
  The committed NMSE numbers were certified against an older compiler.rs.
  Run scripts/reseal-check.sh locally for the two-step reseal command (advisory; not a merge gate).