Round-six network data, BitNBGenData_1
DefinitionIntMul_Kappa_R6_Data_BitNBGenData_1complexity-theoryinteger-multiplicationkappa-improvement
Data bundle IntMul_Kappa_R6_Data_BitNBGenData_1 of the round-six κ-improvement development: literal network data from the Lean module Solutions.R6BitNBGenData (SG1_6, SG1_7, SG1_8, SG1_9, SG1_10), 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: packed code states (16-bit fields per local wire) at the segment
boundaries of the two stage words, move-rank counts per segment, and the DAG argument table.
Big numbers are given in 65536-bit pieces (packL). Generated by scratchpad net/segs.py + gdexp.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_BitNBGenData_0 set_option autoImplicit false set_option relaxedAutoImplicit false set_option maxHeartbeats 1000000 set_option maxRecDepth 100000 namespace R6Chk.Bit.Loc /-- Stage 1, state before segment 6. -/ def SG1_6 : Nat := packL [ 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/-- Stage 1, state before segment 7. -/ def SG1_7 : Nat := packL [ 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6e856f8d128d00878f8cec877d8cce87618ca6873b8c74870b8c3886d18bf2868d8a9385628a9485638a9585648a9685658a9785668a9885678a9985688b4885e78ba2863f879287808764873e870e86d48690864285ea85488549854a854b854c854d854e92559245878d9233877b9217875f91f1873991c18709918786cf9143868b900a8541900b8542900c8543900d8544900e8545900f854690108547909d85e590f5863d8778875c8736870686cc8688863a85e2852785288529852a852b852c852d8776875a8734870486ca8686863885e0851785188519851a851b851c851d8752872c86fc86c2867e863085d8850785088509850a850b850c850d8750872a86fa86c0867c862e85d684f784f884f984fa84fb84fc84fd872286f286b88674862685ce84e784e884e984ea84eb84ec84ed872086f086b68672862485cc84d784d884d984da84db84dc84dd86e886ae866a861c85c484c784c884c984ca84cb84cc84cd86e686ac8668] /-- Stage 1, state before segment 8. -/ def SG1_8 : Nat := packL [ 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/-- Stage 1, state before segment 9. -/ def SG1_9 : Nat := packL [ 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/-- Stage 1, state before segment 10. -/ def SG1_10 : Nat := packL [ 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00100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001000100010001] 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/R6BitNBGenData.lean (generated data).