Round-six network data, BitNBIdData
DefinitionIntMul_Kappa_R6_Data_BitNBIdDatacomplexity-theoryinteger-multiplicationkappa-improvement
Data bundle IntMul_Kappa_R6_Data_BitNBIdData of the round-six κ-improvement development: literal network data from the Lean module Solutions.R6BitNBIdData (IDS1, IDS2, IDS3), 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: slot node ids (16-bit fields) after producer blocks of 48 record chunks. Generated by scratchpad net/idexp.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 namespace R6Chk.Bit.Loc /-- Slot ids after block 0. -/ def IDS1 : Nat := 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/-- Slot ids after block 1. -/ def IDS2 : Nat := 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/-- Slot ids after block 2. -/ def IDS3 : Nat := 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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/R6BitNBIdData.lean (generated data).