R8 densified ARGT+DIMT for nestOK/dimCF
DefinitionIntMul_Kappa_R8_Data_BitOppbankChkBitArgbitnbcomplexity-theoryinteger-multiplicationkappa-improvementr8
Densified ARGT + DIMT
Packed densified gate-argument table (ARGT, 32-bit fields) and node dimensions (DIMT, 5-bit fields)
for , . Supplies nestOK/dimCF/rkC inputs for NetD/ProjB
FormalOK edge certificates. Uses packL 65536-bit limbs (lake-clean).
Definition code
import Mathlib.Data.Nat.Basic set_option autoImplicit false set_option relaxedAutoImplicit false set_option maxHeartbeats 8000000 /-! # R8 densified ARGT + DIMT for NetD (`nestOK` / `dimCF`) `nNodes = 62478`, `codeBound = 64251`. Packed as `packL` 65536-bit limbs. -/ namespace IntMul.Kappa.R8.Bit.Oppbank.ChkBitArg def packL (l : List Nat) : Nat := l.foldr (fun p acc => Nat.lor p (Nat.shiftLeft acc 65536)) 0 def nNodes : ℕ := 62478 theorem nNodes_eq : nNodes = 62478 := rfl /-- Densified dims (5-bit fields). -/ def DIMT : Nat := packL [ 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] /-- Densified gate args (32-bit fields). -/ def ARGT : Nat := packL [ 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] end IntMul.Kappa.R8.Bit.Oppbank.ChkBitArg
Source
S. Jain integer-mult-kappa h=23 densified opp-bank tables; Track BitNB FormalOK feed.