Round-six network data, ChkBitDim0_0
DefinitionIntMul_Kappa_R6_Data_ChkBitDim0_0complexity-theoryinteger-multiplicationkappa-improvement
Data bundle IntMul_Kappa_R6_Data_ChkBitDim0_0 of the round-six κ-improvement development: literal network data from the Lean module Solutions.R6ChkBitDim0 (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 0 of 3 (1522 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.Dim0 open R6Chk R6Chk.Bit noncomputable def c0 : List Nat := [ 0x1000600010001000000020000010000010100000000010005000100008000000200000080000101000000000100040001000040000002000000400001010000000001000300010000200000020000002000010100000000010002000100001000000200000010000101000000000100010001000008000002000000080001010000000001000000010000040000020000000400010100000000000000000000080000, 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0x100be000d04000000200000040000000101000000000100bd000d02000000200000020000000101000000000100bc000d01000000200000010000000101000000000100bb000d00800000200000008000000101000000000100ba000d00400000200000004000000101000000000100b9000c40000000100000400000000101000000000100b8000c20000000100000200000000101000000000100b7000c1000000010000010000000010100000800b8, 0x100c6000e04000000400000040000000101000000000100c5000e02000000400000020000000101000000000100c4000e01000000400000010000000101000000000100c3000e00800000400000008000000101000000000100c2000d40000000200000400000000101000000000100c1000d20000000200000200000000101000000000100c0000d10000000200000100000000101000000000100bf000d0800000020000008000000010100000800c0] noncomputable def c1 : List Nat := [ 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0x2016e000a004000000400000040000001010100000002016d000a002000000400000020000001010100000002016c000a001000000400000010000001010100000002016b000a000800000400000008000001010100000002016a0009400000000200004000000001010100000002016900092000000002000020000000010101000000020168000910000000020000100000000101010000000201670009080000000200000800000001010100080168, 0x20176000a4000000004000040000000010101000000020175000a2000000004000020000000010101000000020174000a1000000004000010000000010101000000020173000a0800000004000008000000010101000000020172000a0400000004000004000000010101000000020171000a0200000004000002000000010101000000020170000a010000000400000100000001010100000002016f000a008000000400000080000001010100080170, 0x2017e000b080000000800000800000001010100000002017d000b040000000800000400000001010100000002017c000b020000000800000200000001010100000002017b000b010000000800000100000001010100000002017a000b0080000008000000800000010101000000020179000b0040000008000000400000010101000000020178000b0020000008000000200000010101000000020177000b001000000800000010000001010100080178, 0x20186000c0200000010000002000000010101000000020185000c0100000010000001000000010101000000020184000c0080000010000000800000010101000000020183000c0040000010000000400000010101000000020182000c0020000010000000200000010101000000020181000b4000000008000040000000010101000000020180000b200000000800002000000001010100000002017f000b100000000800001000000001010100080180, 0x2018e000d010000002000000100000001010100000002018d000d008000002000000080000001010100000002018c000d004000002000000040000001010100000002018b000c400000001000004000000001010100000002018a000c2000000010000020000000010101000000020189000c1000000010000010000000010101000000020188000c0800000010000008000000010101000000020187000c040000001000000400000001010100080188] noncomputable def c2 : List Nat := [ 0x20196000e0100000040000001000000010101000000020195000e0080000040000000800000010101000000020194000d4000000020000040000000010101000000020193000d2000000020000020000000010101000000020192000d1000000020000010000000010101000000020191000d0800000020000008000000010101000000020190000d040000002000000400000001010100000002018f000d020000002000000200000001010100080190, 0x2019e000f020000008000000200000001010100000002019d000f010000008000000100000001010100000002019c000e400000004000004000000001010100000002019b000e200000004000002000000001010100000002019a000e1000000040000010000000010101000000020199000e0800000040000008000000010101000000020198000e0400000040000004000000010101000000020197000e020000004000000200000001010100080198, 0x201a6001008000001000000080000000101010000000201a5001004000001000000040000000101010000000201a4001002000001000000020000000101010000000201a3000f40000000800000400000000101010000000201a2000f20000000800000200000000101010000000201a1000f10000000800000100000000101010000000201a0000f080000008000000800000001010100000002019f000f0400000080000004000000010101000801a0, 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0x4022e000a010000000400000100000001010200000004022d000a008000000400000080000001010200000004022c000a004000000400000040000001010200000004022b000a002000000400000020000001010200000004022a000a0010000004000000100000010102000000040229000a0008000004000000080000010102000000040228000940000000020000400000000101020000000402270009200000000200002000000001010200080228, 0x40236000b0020000008000000200000010102000000040235000b0010000008000000100000010102000000040234000a4000000004000040000000010102000000040233000a2000000004000020000000010102000000040232000a1000000004000010000000010102000000040231000a0800000004000008000000010102000000040230000a040000000400000400000001010200000004022f000a020000000400000200000001010200080230, 0x4023e000b200000000800002000000001010200000004023d000b100000000800001000000001010200000004023c000b080000000800000800000001010200000004023b000b040000000800000400000001010200000004023a000b0200000008000002000000010102000000040239000b0100000008000001000000010102000000040238000b0080000008000000800000010102000000040237000b004000000800000040000001010200080238, 0x40246000c0800000010000008000000010102000000040245000c0400000010000004000000010102000000040244000c0200000010000002000000010102000000040243000c0100000010000001000000010102000000040242000c0080000010000000800000010102000000040241000c0040000010000000400000010102000000040240000c002000001000000020000001010200000004023f000b400000000800004000000001010200080240, 0x4024e000d040000002000000400000001010200000004024d000d020000002000000200000001010200000004024c000d010000002000000100000001010200000004024b000d008000002000000080000001010200000004024a000d0040000020000000400000010102000000040249000c4000000010000040000000010102000000040248000c2000000010000020000000010102000000040247000c100000001000001000000001010200080248, 0x40256000e0400000040000004000000010102000000040255000e0200000040000002000000010102000000040254000e0100000040000001000000010102000000040253000e0080000040000000800000010102000000040252000d4000000020000040000000010102000000040251000d2000000020000020000000010102000000040250000d100000002000001000000001010200000004024f000d080000002000000800000001010200080250] noncomputable def c3 : List Nat := [ 0x4025e000f080000008000000800000001010200000004025d000f040000008000000400000001010200000004025c000f020000008000000200000001010200000004025b000f010000008000000100000001010200000004025a000e4000000040000040000000010102000000040259000e2000000040000020000000010102000000040258000e1000000040000010000000010102000000040257000e080000004000000800000001010200080258, 0x402660010200000010000002000000001010200000004026500101000000100000010000000010102000000040264001008000001000000080000000101020000000402630010040000010000000400000001010200000004026200100200000100000002000000010102000000040261000f4000000080000040000000010102000000040260000f200000008000002000000001010200000004025f000f100000008000001000000001010200080260, 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0x8031e0013400000080000004000000001010300000008031d0013200000080000002000000001010300000008031c0013100000080000001000000001010300000008031b0012400000040000004000000001010300000008031a0012200000040000002000000001010300000008031900121000000400000010000000010103000000080318001208000004000000080000000101030000000803170011400000020000004000000001010300080318] noncomputable def c4 : List Nat := [ 0x1003260005000400000020000004000001010400000010032500050002000000200000020000010104000000100324000500010000002000000100000101040000001003230005000080000020000000800001010400000010032200050000400000200000004000010104000000080321001540000020000000400000000101030000000803200014400000100000004000000001010300000008031f0014200000100000002000000001010300080320, 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0x2003be000600040000004000000400000101050000002003bd000600020000004000000200000101050000002003bc000600010000004000000100000101050000002003bb000600008000004000000080000101050000001003ba001540000020000000400000000101040000001003b9001440000010000000400000000101040000001003b8001420000010000000200000000101040000001003b700134000000800000040000000010104000803b8, 0x2003c6000604000000004000040000000101050000002003c5000602000000004000020000000101050000002003c4000601000000004000010000000101050000002003c3000600800000004000008000000101050000002003c2000600400000004000004000000101050000002003c1000600200000004000002000000101050000002003c0000600100000004000001000000101050000002003bf00060008000000400000080000010105000803c0, 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0x2003de000800200000010000002000000101050000002003dd000800100000010000001000000101050000002003dc000800080000010000000800000101050000002003db000800040000010000000400000101050000002003da000800020000010000000200000101050000002003d9000740000000008000400000000101050000002003d8000720000000008000200000000101050000002003d700071000000000800010000000010105000803d8, 0x2003e6000820000000010000200000000101050000002003e5000810000000010000100000000101050000002003e4000808000000010000080000000101050000002003e3000804000000010000040000000101050000002003e2000802000000010000020000000101050000002003e1000801000000010000010000000101050000002003e0000800800000010000008000000101050000002003df00080040000001000000400000010105000803e0] noncomputable def c5 : List Nat := [ 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0x4004ae001110000002000000100000000101060000004004ad001108000002000000080000000101060000004004ac001104000002000000040000000101060000004004ab001040000001000000400000000101060000004004aa001020000001000000200000000101060000004004a9001010000001000000100000000101060000004004a8001008000001000000080000000101060000004004a700100400000100000004000000010106000804a8] noncomputable def c6 : List Nat := [ 0x4004b6001320000008000000200000000101060000004004b5001310000008000000100000000101060000004004b4001240000004000000400000000101060000004004b3001220000004000000200000000101060000004004b2001210000004000000100000000101060000004004b1001208000004000000080000000101060000004004b0001140000002000000400000000101060000004004af00112000000200000020000000010106000804b0, 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0x100054e000c080000001000000800000001010800000100054d000c040000001000000400000001010800000100054c000c020000001000000200000001010800000100054b000c010000001000000100000001010800000100054a000c0080000010000000800000010108000001000549000c0040000010000000400000010108000001000548000c0020000010000000200000010108000001000547000b400000000800004000000001010800080548, 0x1000556000d0400000020000004000000010108000001000555000d0200000020000002000000010108000001000554000d0100000020000001000000010108000001000553000d0080000020000000800000010108000001000552000d0040000020000000400000010108000001000551000c4000000010000040000000010108000001000550000c200000001000002000000001010800000100054f000c100000001000001000000001010800080550, 0x100055e000e040000004000000400000001010800000100055d000e020000004000000200000001010800000100055c000e010000004000000100000001010800000100055b000e008000004000000080000001010800000100055a000d4000000020000040000000010108000001000559000d2000000020000020000000010108000001000558000d1000000020000010000000010108000001000557000d080000002000000800000001010800080558, 0x1000566000f0800000080000008000000010108000001000565000f0400000080000004000000010108000001000564000f0200000080000002000000010108000001000563000f0100000080000001000000010108000001000562000e4000000040000040000000010108000001000561000e2000000040000020000000010108000001000560000e100000004000001000000001010800000100055f000e080000004000000800000001010800080560, 0x100056e0010200000010000002000000001010800000100056d0010100000010000001000000001010800000100056c0010080000010000000800000001010800000100056b0010040000010000000400000001010800000100056a00100200000100000002000000010108000001000569000f4000000080000040000000010108000001000568000f2000000080000020000000010108000001000567000f100000008000001000000001010800080568, 0x10005760012100000040000001000000001010800000100057500120800000400000008000000010108000001000574001140000002000000400000000101080000010005730011200000020000002000000001010800000100057200111000000200000010000000010108000001000571001108000002000000080000000101080000010005700011040000020000000400000001010800000100056f0010400000010000004000000001010800080570] noncomputable def c7 : List Nat := [ 0x100057e0015400000200000004000000001010800000100057d0014400000100000004000000001010800000100057c0014200000100000002000000001010800000100057b0013400000080000004000000001010800000100057a0013200000080000002000000001010800000100057900131000000800000010000000010108000001000578001240000004000000400000000101080000010005770012200000040000002000000001010800080578, 0x2000586000a0400000004000004000000010109000002000585000a0200000004000002000000010109000002000584000a0100000004000001000000010109000002000583000a0080000004000000800000010109000002000582000a0040000004000000400000010109000002000581000a0020000004000000200000010109000002000580000a001000000400000010000001010900000200057f000a000800000400000008000001010900080580, 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0x400060e0015400000200000004000000001010a00000400060d0014400000100000004000000001010a00000400060c0014200000100000002000000001010a00000400060b0013400000080000004000000001010a00000400060a0013200000080000002000000001010a0000040006090013100000080000001000000001010a0000040006080012400000040000004000000001010a0000040006070012200000040000002000000001010a00080608, 0x8000616000c100000001000001000000001010b000008000615000c080000001000000800000001010b000008000614000c040000001000000400000001010b000008000613000c020000001000000200000001010b000008000612000c010000001000000100000001010b000008000611000c008000001000000080000001010b000008000610000c004000001000000040000001010b00000800060f000c002000001000000020000001010b00080610, 0x800061e000d080000002000000800000001010b00000800061d000d040000002000000400000001010b00000800061c000d020000002000000200000001010b00000800061b000d010000002000000100000001010b00000800061a000d008000002000000080000001010b000008000619000d004000002000000040000001010b000008000618000c400000001000004000000001010b000008000617000c200000001000002000000001010b00080618, 0x8000626000e080000004000000800000001010b000008000625000e040000004000000400000001010b000008000624000e020000004000000200000001010b000008000623000e010000004000000100000001010b000008000622000e008000004000000080000001010b000008000621000d400000002000004000000001010b000008000620000d200000002000002000000001010b00000800061f000d100000002000001000000001010b00080620, 0x800062e000f100000008000001000000001010b00000800062d000f080000008000000800000001010b00000800062c000f040000008000000400000001010b00000800062b000f020000008000000200000001010b00000800062a000f010000008000000100000001010b000008000629000e400000004000004000000001010b000008000628000e200000004000002000000001010b000008000627000e100000004000001000000001010b00080628, 0x80006360010400000010000004000000001010b0000080006350010200000010000002000000001010b0000080006340010100000010000001000000001010b0000080006330010080000010000000800000001010b0000080006320010040000010000000400000001010b0000080006310010020000010000000200000001010b000008000630000f400000008000004000000001010b00000800062f000f200000008000002000000001010b00080630, 0x800063e0012200000040000002000000001010b00000800063d0012100000040000001000000001010b00000800063c0012080000040000000800000001010b00000800063b0011400000020000004000000001010b00000800063a0011200000020000002000000001010b0000080006390011100000020000001000000001010b0000080006380011080000020000000800000001010b0000080006370011040000020000000400000001010b00080638] noncomputable def c8 : List Nat := [ 0x10000646000d004000002000000040000001010c0000080006450015400000200000004000000001010b0000080006440014400000100000004000000001010b0000080006430014200000100000002000000001010b0000080006420013400000080000004000000001010b0000080006410013200000080000002000000001010b0000080006400013100000080000001000000001010b00000800063f0012400000040000004000000001010b00080640, 0x1000064e000d400000002000004000000001010c00001000064d000d200000002000002000000001010c00001000064c000d100000002000001000000001010c00001000064b000d080000002000000800000001010c00001000064a000d040000002000000400000001010c000010000649000d020000002000000200000001010c000010000648000d010000002000000100000001010c000010000647000d008000002000000080000001010c00080648, 0x10000656000e400000004000004000000001010c000010000655000e200000004000002000000001010c000010000654000e100000004000001000000001010c000010000653000e080000004000000800000001010c000010000652000e040000004000000400000001010c000010000651000e020000004000000200000001010c000010000650000e010000004000000100000001010c00001000064f000e008000004000000080000001010c00080650, 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Nat := [ 0x11000001010000011100500040003f000400030000003000000320000103000000010100000100005100500005000300000020000003000001020000000101000001000040003f00040003000000100000030000010200000000110000004100000051004e003e003d00040000c0000030000000e0000103000000004100000040004f004e00050000c0000020000000c0000102000000004100000040003e003d00040000c0000010000000c000010200000000030000000500000007002800010000000100000c4000020040000c000103000000000300000002003b00010001000008400002004000080001020000080708, 0x40010000400000570056000500c0000000200000c00000010200000040010000400000460045000400c0000000100000c000000102000000001100001001000010110054004400430004003000000030000030200001030000001001000010000055005400050030000000200000300000010200000010010000100000440043000400300000001000003000000102000000001100000401000004110052004200410004000c0000003000000c20000103000000040100000400005300520005000c0000002000000c00000102000000040100000400004200410004000c0000001000000c000001020000080710, 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noncomputable def c10 : List Nat := [ 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end R6Chk.Bit.Dim0
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/R6ChkBitDim0.lean (generated data).