Round-six network data, ChkBitDim2_0
DefinitionIntMul_Kappa_R6_Data_ChkBitDim2_0complexity-theoryinteger-multiplicationkappa-improvement
Data bundle IntMul_Kappa_R6_Data_ChkBitDim2_0 of the round-six κ-improvement development: literal network data from the Lean module Solutions.R6ChkBitDim2 (c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11 …), 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. Bit round six, h = 23: node dimension records, part 2 of 3 (1521 elements of 8 nodes). Generated by bit_dimexp.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.Dim2 open R6Chk R6Chk.Bit noncomputable def c0 : List Nat := [ 0x8100000080000562055b000e408000004000004080000001020800000200001003000010020005ae056105600008300000000300003002000001030e00000200000403000004020005ac055f055e00080c0000000300000c02000001030e00000200000103000001020005aa055d055c0008030000000300000302000001030e0000020000001300000012000597055205490008003000000300000032000001030e0000020000000700000006000582053f05340008000c0000030000000e000001030e00000080000080c0000080800500049e049700064080000000c0004080800001030e000080800000800005070500000e408000004000004080000001020700085f20, 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end R6Chk.Bit.Dim2
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/R6ChkBitDim2.lean (generated data).