From 829d01fc031f7323ffcfa423fdfd1f24dcbe3190 Mon Sep 17 00:00:00 2001 From: Ali Romman <226877337+aliromman@users.noreply.github.com> Date: Mon, 26 Oct 2026 02:42:21 -0500 Subject: [PATCH] Raise G20 ordinary BIT saving to0.003507719059749 with scalar conjugations --- .../g20-conjugation-admission/.gitattributes | 1 + research/g20-conjugation-admission/CALLS.json | 1262 + .../CANCELLATIONS.json | 20927 ++++ .../GLOBAL-RESULT.json | 11607 +++ .../g20-conjugation-admission/GLOBAL.jsonl.gz | Bin 0 -> 1895549 bytes .../INDEPENDENT-RESULT.json | 22 + .../g20-conjugation-admission/INPUTS.json | 434 + .../g20-conjugation-admission/INVOICE.json | 36 + .../LOCAL-RESULT.json | 44 + .../g20-conjugation-admission/MATCHER.json | 345 + .../ORDINARY-RESULT.json | 333 + research/g20-conjugation-admission/PATHS.json | 16585 +++ .../PRIVATE-EPISODES.json | 16841 ++++ research/g20-conjugation-admission/PROOF.md | 103 + research/g20-conjugation-admission/README.md | 92 + 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bytes .../source/vendor/g20/inputs/CONTROLLER.json | 2175 + .../source/vendor/g20/inputs/FRAMES.json | 56126 +++++++++++ .../inputs/credited_intervals.py | 421 + .../inputs/separate_series.py | 32 + .../vendor/g20/provider/build_global.py | 125 + .../vendor/g20/provider/data/CALLS.json | 488 + .../vendor/g20/provider/data/INVERSE.json.gz | Bin 0 -> 59078 bytes .../vendor/g20/provider/data/INVOICE.json | 38 + .../g20/provider/data/TARGET-OWNERS.json | 83354 ++++++++++++++++ .../source/vendor/g20/provider/local_ir.py | 130 + .../prior/prior/prior/strict_margins.py | 51 + .../prior/prior/proposal/analytic-funding.md | 268 + .../prior/prior/proposal/assembly.md | 95 + .../prior/prior/proposal/bit.md | 121 + .../prior/prior/proposal/consumer.md | 76 + .../prior/prior/strict_margins.py | 51 + .../prior/source/cut_search.py | 213 + .../prior/source/p104-split-proof.md | 204 + .../prior/strict_margins.py | 51 + .../strict_margins.py | 51 + research/g20-conjugation-admission/verify.py | 53 + 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cancel because each is an involution. +[CANCELLATIONS.json](CANCELLATIONS.json) identifies3,484 such pairs +in three successive source programs. The checker checks every +intervening scalar operation and each owned erasure barrier. + +For distinct a,b,c, let A=`ADD(a,b)`. If B=`ADD(b,c)`, then +`ABA=BC`, where C=`ADD(a,c)`. If B=`ADD(c,a)`, the same relation +holds with C=`ADD(c,b)`. Move A through each commuting contact. +At every noncommuting contact insert its exact correction C. +The last A then cancels the first A. An erasure of either operand +is a barrier. The checker enumerates every noncommuting contact; +an omitted or changed correction rejects. + +The first productive witness replaces two `ADD(385,416)` contacts +with one `ADD(385,89)` correction at frame91. Its intervening +noncommuting contact is `ADD(416,89)`. A sequence of neutral +conjugations then exposes a second productive witness. The complete +ordered list is [REWRITES.json](REWRITES.json). All45 steps preserve +every scalar input column, including arbitrary dirty owned inputs. + +## Native implementation + +Each scalar contact has one actual common frame. The constructor +emits all required frame transitions before that contact. Every +nonzero transition has a proper nested query with rank between1 +and7. [PATHS.json](PATHS.json) contains the route witnesses; the +checker verifies every edge and endpoint by exact rational geometry. +The final construction needs no nonnested native query. + +In the retained paired-address normal form, a frame query from s +to t is the composition of the native involutions for s and t. +Thus the frame maps telescope along each wire. Scalar ADD at one +common frame acts on the normalized payloads. The scalar endpoint, +actual contact frames and exact native edge identities give the +full native endpoint under the retained native contract. Free frame +changes require an identically zero whole payload. Only an owned +field can be erased. Every independent input retains its old +entrance and exit frames, and all48 owned fields return zero. + +The separate forward and adjoint implementations check all685 +columns at101 and10201. These finite checks supplement the exact +normal-form argument. They are not a claim about every prime by +finite enumeration. + +## Productive profile and global caller + +Each of two productive steps changes the local paid polynomial by +`H1-2H2+H3`. The43 other conjugations and the3,484 cancellations +leave it unchanged. The final local counts are +`1281H1+1338H2+58H3+57H4+102H5+10H6`. + +The retained controller makes18 full calls. Consequently + +`Pnew-Pold=36H1-72H2+36H3`, and `Tnew-Told=0`. + +For `01+3^t`. The new moment is strictly better throughout that +interval. This comparison includes the complete caller invoice. +It does not credit a removed target or an owned field. + +The literal caller has11,022 independent inputs,48 owned fields, +56,223 queries,2,529 owned episodes and317,004 events. Its global +endpoint is the identity on all independent RAW inputs and zero +on all dirty owned columns. Each paid query records its exact +program prefix, source bitmap, owner, version and epoch. The +retained physical MAIN polynomial check also runs. + +## Ordinary admission + +Two exact rational interval engines place the raw crossing in +`(.00350771905979,.00350771905983)`. At tested saving +`.00350771905977`, the charged contraction, tail and completion +inequalities hold with reserve `2^-48`. Take uniform saving +`.00350771905976`, cover gap `1e-14` and tensor degree2048. +The strict compiler thresholds are +`H0=748422004163100673` and +`H1=525050825750085681680519744370`. + +The complete finite primitive count is952838314401, below `2^64`. +The emitted global positive majorant has384bits. The fixed matcher +has10,944 charged coefficient terms. The retained1024bit height +envelope therefore covers the fresh word and all target maps. +Parking, owned initialization and teardown, COPY/CLEAR, internal +and whole-job routes, target normalizers, query dimension work, +stock, regular cover and eventual backend thresholds remain paid. + +Starting with PR5679's completed ordinary backend, five finite +acyclic levels admit `.003507719059749`. Each level uses the strict +lower grid and pays its adapter and stock gaps. The independent +engine recomputes the intervals, thresholds, finite levels and +finite fee. The retained signed rank-mass tails and uniform tail +guards also give the strict approach theorem below the raw root. + +The scope remains conditional ordinary BIT. A complete Gaussian +supplier and outer multiplication bill are separate obligations. +No selected-frontier update or independent scientific acceptance +follows from this package. diff --git a/research/g20-conjugation-admission/README.md b/research/g20-conjugation-admission/README.md new file mode 100644 index 0000000000..b1655b5913 --- /dev/null +++ b/research/g20-conjugation-admission/README.md @@ -0,0 +1,92 @@ +# G20 scalar conjugation admission + +The complete changed caller admits conditional ordinary BIT saving +**0.003507719059749**, an increase of **0.000000308321340** over +[PR5679](https://github.com/CrocSwap/integer-mult-bounds/pull/5679). +This is a component bound. A whole multiplication kappa is not claimed. + +Two scalar conjugations change the paid profile by +`Pnew-Pold=36H1-72H2+36H3`, with `Tnew=Told`. 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