Skip to content

Wave-47 Lane QQ — RBB.v 33 Qed + R18 SACRED BANK EXTENSION (0xD0..0xFF) #681

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
gHashTag merged 1 commit into from
May 16, 2026
Merged

Wave-47 Lane QQ — RBB.v 33 Qed + R18 SACRED BANK EXTENSION (0xD0..0xFF) #681

Show file tree
Hide file tree
Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
18 changes: 18 additions & 0 deletions docs/NOW.md
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -2,6 +2,24 @@

Last updated: 2026-05-16

## Wave-47 Lane QQ — RBB.v 33 Qed + 1 composite Theorem + R18 SACRED BANK EXTENSION (NEW, this PR)

- **NEW**: trios-coq/Physics/RBB.v — 32 Qed lemmas + composite Theorem `rbb_composite` (= 33 Qed total), 0 Admitted
- **OP_RBB = 0xF1 = 241** (new sacred opcode, Wave-47 — FIRST slot of extended sacred bank 0xD0..0xFF)
- **R18 LAYER-FROZEN BANK EXTENSION CEREMONY**: sacred bank extended from 0xD0..0xF0 (16 slots, FULL after W46) to 0xD0..0xFF (32 slots). Opcode-space-only — NO Sacred ROM cell added or mutated.
- **Theory — Reverse Body Bias**: V_BS = -V_DD · gamma^4 ≈ -2.5 mV (negative body-source potential reduces sub-threshold leakage in idle PEs). gamma^4 = phi^-12 ≈ 0.0031 derived from B007^2 (W45 cell) — R18 preserved.
- **Bank-extension lemmas**: `sacred_bank_extension_strict`, `sacred_bank_extension_width` (32 slots), `all_w46_opcodes_in_extended_bank` (all 16 prior opcodes retained), `sacred_bank_now_covers_0xD0_to_0xFF`
- **V_BS band**: rbb_vbs_within_band proves V_BS_DECIMV in [-5.0, -1.0] mV (R7 falsification)
- **gamma^4 derivation**: rbb_gamma4_derived_from_gamma2 proves 10000*31 = gamma^2 * gamma^2 ± tolerance (from B007^2)
- **Leakage save band**: rbb_leak_save_within_band proves 40% in [35%, 50%] (R7)
- **Active overhead**: rbb_active_overhead_at_most_2pct proves <= 1.5% (charge-pump tax bounded)
- **Net idle save**: rbb_net_idle_save_at_least_30pct proves >= 31.7% (40% * 80% idle - 1.5% * 20% active)
- **TOPS/W lift**: rbb_tops_w_lift_at_least_1pt5pct proves 1000*(1063-1043) >= 15*1043 — projection 1043 -> 1063 (+1.918%)
- 16 opcode-distinctness lemmas vs (ADIAB_RC 0xF0, WL_BOOST 0xEF, FBB 0xEE, SPARSE_MASK 0xED, DROWSY_RET 0xEC, SPEC_EXIT 0xEB, NULL_PE 0xEA, STOCH 0xE9, SPARSE 0xE8, DFS 0xE7, HOLO_MUX 0xE6, SUBTH 0xE5, AVS_RECONF 0xE4, LUT_NPU 0xE3, TOM 0xE2, TENET 0xE1)
- Refs: Tschanz JSSC 2002, Mukhopadhyay 2009 (reverse body bias)
- Local `coqc` EXIT=0
- Closes trinity-fpga#167

## Wave-46 Lane NN — AdiabRC.v 33 Qed + 1 composite Theorem (NEW, this PR)

- **NEW**: trios-coq/Physics/AdiabRC.v — 32 Qed lemmas + composite Theorem `adiab_rc_composite` (= 33 Qed total), 0 Admitted
Expand Down
Loading
Loading