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PhD Glava 35 β€” Silicon Submission (Wave-16a integration)#830

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PhD Glava 35 β€” Silicon Submission (Wave-16a integration)#830
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Glava 35 β€” Silicon Submission: Path to Verified Best-in-World TOPS/W

Author: Vasilev Dmitrii <admin@t27.ai> ORCID 0009-0008-4294-6159
Anchor: φ²+φ⁻²=3 Β· DOI 10.5281/zenodo.19227877
Wave-16a commit ref: 8315a76

Chapter Summary

docs/phd/chapters/flos_35.tex β€” replaces old stub (567 lines, wrong content) with full Silicon Submission chapter (1,616 lines).

Wave-16a Numbers (ground truth, R5 HONEST)

Metric Value
gf16_poly_mul cells 34 cells/instance
$mul cells 0 (R-SI-1 PASS)
GF(2⁴) exhaustive test 256/256 PASS
Full poly mesh 1,994 cells (vs 94,993 fp16 S&A, -97.9%)
Critical path ~560 ps β†’ 400 MHz @ 4.5Γ— margin
Zero-skip v2 +5 net cells, +16 ICG FFs, 0/50/75/90% sparsity PASS
Projected 120 TOPS/W Engineering projection, NOT measured

Sections

  • 35.1 Problem: fp16 adder tree 94,993 cells, 25Γ— budget overrun
  • 35.2 Solution: GF(2⁴) polynomial multiplier + NorthPole zero-skip
  • 35.3 Verification: 256/256 exhaustive + 16/16 zero-skip
  • 35.4 Comparative: Trinity vs Hailo-10H vs NorthPole vs Mythic (UNVERIFIED)
  • 35.5 Theorem 35.1: TRI-1 MAX 4Γ—4 mesh has 0 $mul cells in Yosys
  • 35.6 Falsification (R7): Wave-16b P&R >5,000 cells OR slack<0 β†’ FALSIFIED
  • 35.7 Coq citation map (R14): TODO placeholders (honest per R5)
  • 35.8 Constitutional compliance: R1, R3, R5, R6, R7, R14, R-SI-1
  • 35.9–35.14 Extended analysis, anchor in silicon, path forward

R-Compliance Vector

Rule Status
R1 (Rust CROWN β€” no Python) βœ… PASS
R3 (β‰₯1500 lines, β‰₯2 citations, β‰₯1 theorem) βœ… 1,616 lines, 6 citations, 1 theorem + 2 lemmas
R5 (HONEST β€” 120 TOPS/W labelled projection) βœ… PASS
R6 (zero free parameters) βœ… PASS
R7 (falsifier criteria FA, FB, FC) βœ… PASS
R14 (Coq citation map) βœ… TODO-honest (Wave-16b gate)
R-SI-1 (zero $mul, anchor φ²+φ⁻²=3) βœ… PASS

New Bibliography Entries

  • modha_northpole_2023 β€” IBM NorthPole, Science 2023
  • platinum_aspdac2026 β€” Platinum ASIC Lever, arXiv:2511.21910
  • hailo10h_datasheet β€” Hailo-10H datasheet
  • zenodo_19227877_phd β€” Zenodo archive DOI 10.5281/zenodo.19227877

PDF Build

Built with XeLaTeX (tectonic has pre-existing figure-map Unicode error; XeLaTeX succeeds).
PDF verifier: pdftotext main.pdf - | grep -c 'Glava 35' = 12 βœ…

DRAFT β€” pending Wave-16b OpenLane2 P&R verification before merge

…th to 120 TOPS/W (R3, R5, R7, R14)

GF(2^4) polynomial mesh: 1,994 cells, 0 $mul, 560ps critical path.
256/256 exhaustive GF(16) PASS. Zero-skip v2: +5 cells, +16 ICG FFs.
Engineering-projected 120 TOPS/W @ TTIHP27 250MHz x 75% sparsity.
Falsification: Wave-16b P&R >5,000 cells OR slack<0 => FALSIFIED.

Author: Vasilev Dmitrii <admin@t27.ai> ORCID 0009-0008-4294-6159
Anchor: phi^2 + phi^-2 = 3
DOI: 10.5281/zenodo.19227877
Commit: 8315a76 (tt-trinity-gf16 Wave-16a ref)

R-compliance: R1 R3 R5 R6 R7 R14 R-SI-1
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