From b13c9ae8a539c05f0f590ce9d08c7067d99c6145 Mon Sep 17 00:00:00 2001 From: Ali Romman <226877337+aliromman@users.noreply.github.com> Date: Sun, 25 Oct 2026 21:45:33 -0500 Subject: [PATCH] Compose all G20 return fusions at ordinary BIT saving 0.003488579527 --- research/g20-complete-fusion/.gitattributes | 2 + research/g20-complete-fusion/CALLS.json | 722 + .../g20-complete-fusion/GLOBAL-RESULT.json | 11576 +++ research/g20-complete-fusion/GLOBAL.jsonl.gz | Bin 0 -> 2329740 bytes .../INDEPENDENT-RESULT.json | 21 + research/g20-complete-fusion/INPUTS.json | 198 + research/g20-complete-fusion/INVOICE.json | 36 + .../g20-complete-fusion/LIFETIME-AUDIT.json | 51 + .../g20-complete-fusion/LOCAL-RESULT.json | 42 + .../g20-complete-fusion/ORDINARY-RESULT.json | 173 + .../g20-complete-fusion/PRIVATE-EPISODES.json | 13493 +++ research/g20-complete-fusion/PROOF.md | 195 + research/g20-complete-fusion/README.md | 74 + .../SOURCE-DESCRIPTORS.json.gz | Bin 0 -> 5183389 bytes research/g20-complete-fusion/SOURCES.json | 152 + .../g20-complete-fusion/TARGET-OWNERS.json | 81716 +++++++++++++++ research/g20-complete-fusion/TASK.json | 77 + research/g20-complete-fusion/VERIFY.json | 28 + .../g20-complete-fusion/WINDOW-AUDIT.json | 21 + research/g20-complete-fusion/WINDOWS.json | 17546 ++++ research/g20-complete-fusion/WORD.json.gz | Bin 0 -> 68478 bytes research/g20-complete-fusion/baseline.py | 146 + research/g20-complete-fusion/fusion.py | 159 + .../g20-complete-fusion/global_retirement.py | 111 + research/g20-complete-fusion/independent.py | 166 + .../g20-complete-fusion/lifetime_audit.py | 80 + research/g20-complete-fusion/native.py | 49 + research/g20-complete-fusion/ordinary.py | 61 + .../proposal/bit-admission.md | 283 + .../proposal/pr5647-PROOF.md | 139 + .../proposal/pr5647-README.md | 66 + .../proposal/snapshot-fusion.md | 93 + .../source/GLOBAL-RESULT.json | 11571 +++ .../g20-complete-fusion/source/INVOICE.json | 37 + 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++++++++++++++++ .../source/vendor/g20/provider/local_ir.py | 130 + research/g20-complete-fusion/verify.py | 66 + research/g20-complete-fusion/window_audit.py | 62 + 57 files changed, 283235 insertions(+) create mode 100644 research/g20-complete-fusion/.gitattributes create mode 100644 research/g20-complete-fusion/CALLS.json create mode 100644 research/g20-complete-fusion/GLOBAL-RESULT.json create mode 100644 research/g20-complete-fusion/GLOBAL.jsonl.gz create mode 100644 research/g20-complete-fusion/INDEPENDENT-RESULT.json create mode 100644 research/g20-complete-fusion/INPUTS.json create mode 100644 research/g20-complete-fusion/INVOICE.json create mode 100644 research/g20-complete-fusion/LIFETIME-AUDIT.json create mode 100644 research/g20-complete-fusion/LOCAL-RESULT.json create mode 100644 research/g20-complete-fusion/ORDINARY-RESULT.json create mode 100644 research/g20-complete-fusion/PRIVATE-EPISODES.json create mode 100644 research/g20-complete-fusion/PROOF.md create mode 100644 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All QQ matrices and relative SOURCE projectors compiled before choice." + }, + "all_in_fixed_primitive_fee": { + "F": "(q+2)^(32*(N+1)^2)*(A(N)+2)^8", + "actual_cost": "F times positive maximum of the retained stream/route/normalizer/completed-backend constants, fixed anew at each finite level. No primitive has cost0 or a claimed universal cost1.", + "parking": "4*(B_N+C_N) positive FIELD passes per child plus initialization/teardown, with C_N<=17*A(N); F dominates their products.", + "bad_classes": "<=32*N^2 ordinary calls charged separately by the retained moment/cover argument." + }, + "stock": { + "reserve": "[B_N*|GL_N(F_q)|*q^(N^2*(w-1))]^D*S_completed_backend", + "D": "floor(log_N ceil(e/w))+1", + "borrowed_digits": "D*(N^2*(w-1)+ceil(log_q(B_N*|GL_N(F_q)|)))+ceil(log_q S_completed_backend)+1 =O_new(w loge)", + "ownership": "All17whole owned banks for EVERY compiled instance, including suspended ones, get distinct tags; full entry/exit CLEAR charged. No ancestor region is swept or external zero stock assumed." + }, + "eventual_threshold": { + "K_j": "At least16 times sum of F*positive retained primitive constants, reserve/adapter bounds and already frozen backend constant completed at all widths by finite fallback.", + "eta_j": "min(rho-a_j,1-rho-a_j,a_j-b_j)>0", + "e_j": "Fresh integer dominating E_backend^(ceil(2/rho)), borrow threshold, ceil((32*K_j/eta_j)^(ceil(8/eta_j)))+2^(ceil(8/eta_j)).", + "scope": "Constructive finite threshold schema under retained native/compiler/ROW/precision/tape premises. Winning uniform program and decimal threshold are not materialized." + } + }, + "whole_kappa": null, + "assumptions": "Same retained native/allcolumn arbitraryinput/ROW/spectator, mixed-target finite compiler, completed ordinary fallback, precision and fixed-tape contracts as PR4760/4814; no full theorem verification claimed." +} diff --git a/research/g20-complete-fusion/PRIVATE-EPISODES.json b/research/g20-complete-fusion/PRIVATE-EPISODES.json new file mode 100644 index 0000000000..0ca8f041af --- /dev/null +++ b/research/g20-complete-fusion/PRIVATE-EPISODES.json @@ -0,0 +1,13493 @@ +[ + { + "owner": 11171, + "stage": 0, + "begin": 21520, + "end": 22170 + }, + { + "owner": 11181, + "stage": 0, + "begin": 21532, + "end": 22179 + }, + { + "owner": 11166, + "stage": 0, + "begin": 21523, + "end": 22187 + }, + { + "owner": 11170, + "stage": 0, + "begin": 21593, + "end": 22195 + }, + { + "owner": 11182, + "stage": 0, + "begin": 21632, + "end": 22204 + }, + { + "owner": 11168, + "stage": 0, + 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423986 + }, + { + "owner": 11176, + "stage": 32, + "begin": 402277, + "end": 423987 + }, + { + "owner": 11177, + "stage": 32, + "begin": 402337, + "end": 423988 + }, + { + "owner": 11178, + "stage": 32, + "begin": 402396, + "end": 423989 + }, + { + "owner": 11179, + "stage": 32, + "begin": 402456, + "end": 423990 + }, + { + "owner": 11180, + "stage": 32, + "begin": 402513, + "end": 423991 + } +] diff --git a/research/g20-complete-fusion/PROOF.md b/research/g20-complete-fusion/PROOF.md new file mode 100644 index 0000000000..a5fa7ef776 --- /dev/null +++ b/research/g20-complete-fusion/PROOF.md @@ -0,0 +1,195 @@ +# Three native G20 return fusions + +The conditional ordinary BIT saving is `0.003488579527`. It exceeds the +completed PR5648 component by `0.000000657061`. The selected complete +multiplication coefficient is unchanged. All retained native, ROW, +compiler, precision, tape, and analytic contracts remain assumptions. + +Dugongue PR5639 supplies two source-snapshot fusions. This package emits +both together with the released helper444 continuation in PR5647. It +uses the direct SOURCE77 snapshot reported during PR5648 instead of the +five-source gather. It resolves the shared-centre lifetimes in the full +composition and reuses the old zero centre for one snapshot. The source word is ai-nanachi PR5512 with Ali Romman PR5421's +nine relations and PR5641's four retirements. Frozen source code, proof, +ordinary record, and proposal are authenticated by `INPUTS.json`. + +## 1. Native identity and actual versions + +Let the helper descend from frame U through L to ground. Write its native +maps as `G3: L -> U`, `G1: ground -> L`, and `G4=G3*G1`. +These are the actual source frame operators, with ADDRESS and ROW. +The source nested-projector checks establish their literal composition; +the identity is not inferred from ranks alone. The old return is + +```text +G1^-1 * (G3^-1 * h_U + x_L). +``` + +If a prior source version is `x_U=G3*x_L`, the same return is +`G4^-1*(h_U+x_U)`. Copy that actual version into an owned snapshot before +its deadline. Add it to the helper at U, query rank four on the helper, +and clear the snapshot. Omit the old rank-three query, line ADD, and +rank-one query. No helper observer occurs inside the replaced interval. +Every observer outside it sees the original full function. Every helper +input remains arbitrary and independent. No productive target is lost. + +The input word for these indices is the exact four-retirement word +rebuilt by `baseline.py`. Each capture cut is immediately before that +numbered record. Each query index names a record in the same word. + +| Helper | SOURCE | U | Capture cut | Old H3 | Old line ADD | Old H1 | Snapshot bank | +| --- | --- | --- | --- | --- | --- | --- | --- | +| 444 | 77 | 509 | 14957 | 16157 | 19362 | 19363 | 658 | +| 467 | 38 | 509 | 14964 | 16151 | 19219 | 19220 | 660 | +| 465 | 19 | 508 | 15062 | 16172 | 19221 | 19222 | 661 | + +PR5647 constructs the first return from five earlier values. The direct +SOURCE77 version was reported during PR5648. The other two returns are +Dugongue's construction. Their composition is the new contribution here. Their U projectors already occur in the source. +The three SOURCE fields follow their unchanged trajectories. `fusion.py` +checks the exact normalized row at the capture, not only the frame name. +Under the retained coframe identity, equal rows at one frame represent +equal whole functions for every width and all independent input columns. + +## 2. Reuse only the proved whole-zero centre + +The old centre, field 658, is whole zero after its first clear throughout +the baseline word. This follows from the source nine owned relations. +The emitter verifies that invariant at every centre access. It removes +all 546 obsolete centre accesses, including reads of zero into retained +fields. It then uses bank 658 for helper 444's snapshot and returns it +at zero with its old null frame. No live frame is renamed. + +Banks 660 and 661 are new. The three snapshot lifetimes overlap. They +cannot be assigned one shared array. The whole construction allocates +17 owned banks, rather than 18 for three newly allocated snapshots. +Every first use includes whole-field CLEAR. Every last use includes +teardown. The original dirty contents of all 17 banks are annihilated. +The old source shadow remains distinct and retains all its uses. + +`lifetime_audit.py` checks every original owned bank at every cut of each +capture interval. Only bank658 remains whole zero. All three intervals +overlap, which requires two additional banks in this direct-copy schedule. +A different storage encoding or changed producer is outside this result. + +The same audit checks every remaining nonzero query row against the span +of all earlier field observations at its destination frame. No row is in +that span. This excludes only direct historical replacement in this word. + +## 3. Exact scope of the extension search + +The discovery pass checks every retained field, including main fields. +It enumerates every nested run of at least two paid queries with any +number of destination ADDs and no intervening source observer of that +field. There are 667 such blocks. A block can be replaced by one query +only if its injected normalized row can be prepared at the first frame. + +For each block, the screen permits arbitrary binary combinations of all +prior single-field observations at that frame. This is more permissive +than one direct SOURCE snapshot. Gaussian elimination on 660 independent +original and dirty symbols tests membership exactly. Only the three +rows above pass. Each has a direct SOURCE version, so no optimistic +multi-snapshot combination is used in the emitted word. + +`window_audit.py` enumerates the blocks by maximal observer-free segments +and uses elimination with the opposite pivot order. It independently +checks all 667 keys and the same three survivors. This is a second +implementation by the same author and AI assistant, not independent +scientific review. The census is complete for this frozen source domain. +It does not exclude a changed producer, protected-read retiming, a paid +frame conversion, or a new word with different observations. + +## 4. Full caller and positive costs + +The local word retains 645 original fields and returns 17 owned fields +at zero. Forward native and adjoint checks track all 662 entry columns +at separate address points over moduli 101 and 10201. The exact rational +frame checks are retained. The all-width claim is conditional on the +source coframe theorem; finite address checks alone do not prove it. +Stale source capture, missing teardown, and a stale global epoch fail. + +Install the word in all 18 thick G20 calls. Keep thin queries, idles, +boundaries, bridges, routes, and all existing target debits. The emitted +445,876-event caller retains 11,166 independent originals and pays +56,799 queries. Its actual query descriptors include chronological +owner, version, epoch, normalized row, and prefix hash. Separate stream +replay checks every original and dirty column, source descriptor, target +owner, and cost count. No owned bank has output credit. + +Relative to PR5641, the complete signed change is + +```text +P_new-P_old = -54 H1 -54 H3 +54 H4 +T_new-T_old = 0 +``` + +Relative to PR5648, the change is `-18 H1 -18 H3 +18 H4`, with +unchanged targets. + +Thus the target-minus-paid gain is `54*(1+3^t-4^t)>0` for `02L|0+rfZlKnu!-iq_oV=6e;b7z3jiA4aB@RygyuS+Z_2+ z_`Hm)zdRFtmp-$ZuY7%MSbDpt^m(6nM^^ECUt6~wMy#2rPA4;G;6NUo;@Y30g^Et> zw5!^ZXq8C8@G`v``j$87^t$d--f>Gs4)6Im?Nib5dQJ3pGw>$iH$CY}?;YXu($P=X`cgmJ(JS;~^xo~G@4en}Mf9HXekt@a(D9!0w*P*5{xJC z+E2IZ+MTCH5+~SuW7ePE@KsCWTgi6{gT^Pg+dr;^+Cklej9=<_VR>btHc2 zF?h=X1@XDBWO?5m5PI8Wx@~xf5qf)B&UqWLxyu3>PjCmNi%71_LIrO>hm=${c`Z{9cGbr@-sPulN0~C6j5Gr`zlnO~FI{f1E zSoE+@%X zpO>vxf(2Fx-^X~IS{bDy@p1i;v7~`}#V3Q%=MZ9wg5qQd(_ElRC3D6L??+J9GX&N( z_|eOS4UG)XjZy0l9W1=FaTzGzAYEnHd8e$7{tBJm25>xs%dQNyRE*wnlTXZjSx?M3Qg_y8rDf_Ona`7YL zN-*Dwq(|iPgUx`IR72zGz1=fj2_uty{#Vct&rO(vi@^F4Sg!IMcD|M?nOBgq7vs`V zg0rlw?pZ7J6^^RdYP+$5#s)c2)&O2eW0K?@~608^98)U-cbgRu>`p 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