Round-six network data, ChkBitDim2_2
DefinitionIntMul_Kappa_R6_Data_ChkBitDim2_2complexity-theoryinteger-multiplicationkappa-improvement
Data bundle IntMul_Kappa_R6_Data_ChkBitDim2_2 of the round-six κ-improvement development: literal network data from the Lean module Solutions.R6ChkBitDim2 (c47, c48, c49, c50, c51, c52, c53, c54, c55, c56, c57, c58 …), 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 import Definitions.Def_IntMul_Kappa_R6_Data_ChkBitDim2_0 import Definitions.Def_IntMul_Kappa_R6_Data_ChkBitDim2_1 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 c47 : List Nat := [ 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0x400001001fffff001000000008000000040000000200000001000000008000000040000000200000001000000008000000040000000200000001000000008000000040000000200000001000000008004000050040000300fa00e600e500e300e000dc00d700d100ca00c200b900af00a40098008b007d006e005e004d003b0028001400000000003fffff003fffff0001161600018ea0] noncomputable def chunks : List (List Nat) := [c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26, c27, c28, c29, c30, c31, c32, c33, c34, c35, c36, c37, c38, c39, c40, c41, c42, c43, c44, c45, c46, c47, c48, c49, c50, c51, c52, c53, c54, c55, c56, c57, c58, c59, c60] 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).