Round-six network data, CxNetData_0
DefinitionIntMul_Kappa_R6_Data_CxNetData_0complexity-theoryinteger-multiplicationkappa-improvement
Data bundle IntMul_Kappa_R6_Data_CxNetData_0 of the round-six κ-improvement development: literal network data from the Lean module Solutions.R6CxNetData (tvD, lcD, srcD, rsD, tiD, pD, gD0, gD1, gD2, gD3, gD4, gD5 …), 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. The data of the h = 24 local program (Jain's producer complex-twostage).
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_Defs24 set_option autoImplicit false set_option relaxedAutoImplicit false set_option maxHeartbeats 1000000 set_option maxRecDepth 100000 namespace IntMul.Kappa.R6.Cx.NetData open NetBT NetLoc NetSpec def tvD : ℕ := 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def lcD : ℕ := 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def srcD : ℕ := 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def rsD : ℕ := 0xcf542d593853f359375428593653c959355423593453ee5933541e593253c859315419593053e9592f5414592e53dc def tiD : ℕ := 0x3fffffc0002fffffc00037ffffc0003bffffc0003dffffc0003effffc0003f7fffc0003fbfffc0003fdfffc0003fefffc0003ff7ffc0003ffbffc0003ffdffc0003ffeffc0003fff7fc0003fffbfc0003fffdfc0003fffefc0003ffff7c0003ffffbc0003ffffdc0003ffffec0003fffff40003fffff8 def pD : List ℕ := 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def gD1 : List ℕ := 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def gD2 : List ℕ := 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def gD3 : List ℕ := 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end IntMul.Kappa.R6.Cx.NetData
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/R6CxNetData.lean (generated data).