Round-six network data, BitNBLocData
DefinitionIntMul_Kappa_R6_Data_BitNBLocDatacomplexity-theoryinteger-multiplicationkappa-improvement
Data bundle IntMul_Kappa_R6_Data_BitNBLocData of the round-six κ-improvement development: literal network data from the Lean module Solutions.R6BitNBLocData (GREC, INJ, TPTS, RETS, RETN, SRC, DIMT), stored as Lean terms (large natural-number literals, BT trees and lists of numbers). These values are not proved correct by themselves; they are the certificates and snapshots that the kernel checks (decide +kernel nodes) evaluate. A value larger than one bundle is split into parts (X_p…) that are reassembled by an exact node/++ expression, so the reassembled term is definitionally the original one.
Module context. Round-six bit invocation (h = 23): producer records, injection lists, retained/source slots, node dimensions. Generated by scratchpad net/export.py.
Formalization Note. Part of the Lean formalization of the round-six κ-improvement (integer-multiplication-kappa campaign, target IntMul.Kappa.jain_round6_framework). The statement is copied verbatim from the Lean development; the platform node carries the same declaration name. Definitions it mentions live in the IntMul_Kappa_R6_Defs* bundles (on top of the published κ bundles IntMul_Kappa_K_Defs*).
Definition code
-- Round-six κ development (integer-multiplication-kappa), generated by skeleton subtraction. import Definitions.Def_IntMul_Kappa_R6_Defs50 set_option autoImplicit false set_option relaxedAutoImplicit false set_option maxHeartbeats 1000000 set_option maxRecDepth 100000 set_option maxRecDepth 100000 namespace R6Chk.Bit.Loc /-- Producer records (256 per chunk): `n` (16), pivot slot (16), second operand slot + 1 (16, `0` for a leaf), number of extra slots (8), extra slots (16 each). -/ def GREC : List ℕ := [ 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/-- Injection slots: field `3T+k` (16 bits). -/ def INJ : ℕ := 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 /-- Points of triple `T`: field `3T+k` (5 bits), increasing. -/ def TPTS : ℕ := 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 /-- Retained slot of centre `c` (16-bit fields). -/ def RETS : ℕ := 0x9b499819948b90f18d218947852f810f7ca9783d73836ec569b1649b5f2759b353d94e0147bb41793ac1340f2cdf /-- Retained node of centre `c` (16-bit fields). -/ def RETN : ℕ := 0x8ea08e9e8e9c8e9a8e988e968e948e928e908e8e8e8c8e8a8e888e868e848e828e808e7e8e7c8e7a8e788e768e74 /-- Source (leaf) slot of triple `t` (16-bit fields). -/ def SRC : ℕ := 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 /-- Node span dimensions (5-bit fields). -/ def DIMT : ℕ := 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end R6Chk.Bit.Loc
Source
S. Jain, round-six networks for the integer-multiplication κ-improvement campaign (https://github.com/Swapnil-jain/integer-mult-kappa, commit 5868dc7) and D. Colkitt, integer-mult-bounds (https://github.com/CrocSwap/integer-mult-bounds); target `IntMul.Kappa.jain_round6_framework`. Lean module Solutions/R6BitNBLocData.lean (generated data).