From 31bd16e74c3833a9fb25dca17a0f00fa9046325c Mon Sep 17 00:00:00 2001 From: Ali Romman <226877337+aliromman@users.noreply.github.com> Date: Sun, 25 Oct 2026 23:27:11 -0500 Subject: [PATCH] Complete causal G20 late-binding admission and exhaust first-read cuts --- .../g20-late-binding-admission/.gitattributes | 2 + .../g20-late-binding-admission/CALLS.json | 1262 + research/g20-late-binding-admission/CUTS.json | 38159 +++++++ .../FORWARD.json.gz | Bin 0 -> 60673 bytes .../GLOBAL-RESULT.json | 11606 +++ .../GLOBAL.jsonl.gz | Bin 0 -> 2317764 bytes .../INDEPENDENT-RESULT.json | 36 + .../g20-late-binding-admission/INPUTS.json | 289 + .../g20-late-binding-admission/INVOICE.json | 35 + .../LOCAL-RESULT.json | 224 + .../g20-late-binding-admission/MATCHER.json | 178 + research/g20-late-binding-admission/NOTICE.md | 7 + .../ORDINARY-RESULT.json | 332 + .../PRIVATE-EPISODES.json | 16841 ++++ research/g20-late-binding-admission/PROOF.md | 89 + research/g20-late-binding-admission/README.md | 38 + 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The exact proposal files are retained under proposal/. Ali Romman PR5667 supplies the completed predecessor, strict-margin theorem and adapted native, global, ordinary and separate checking code under prior/. PR5662 audits Dugongue PR5657 source refinements and supplies the frame-506 matcher. PR5653 and Dugongue PR5629/5639 supply the prior retirements and snapshots. + +Retain ai-nanachi PR5512; Ali Romman PR5421; DreamingOfClouds PR589 and eumemic PR555; Cinna Davis's native, ROW, controller, cover and ordinary interfaces; rohanarun PR185/199/204; zxv, Jacob Alan Sussman and all cumulative compiler, precision and fixed-tape contributors. Every frozen source notice stays unchanged. INPUTS.json and SOURCES.json bind consumed bytes to exact upstream objects. + +New emitted integration, complete first-read census, separate census check, full replay and documentation: Ali Romman with substantial OpenAI Codex assistance. No independent human review or literature priority claim is made. New material is Apache-2.0. diff --git a/research/g20-late-binding-admission/ORDINARY-RESULT.json b/research/g20-late-binding-admission/ORDINARY-RESULT.json new file mode 100644 index 0000000000..e55b485256 --- /dev/null +++ b/research/g20-late-binding-admission/ORDINARY-RESULT.json @@ -0,0 +1,332 @@ +{ + "status": "PASS_CONDITIONAL_G20_LATE_BINDING_ORDINARY_FIVE_FINITE_LEVELS", + "invoice": { + "paid": { + "1": 24687, + "2": 24156, + "3": 1008, + "4": 1026, + "5": 1836, + "6": 180, + "14": 444, + "21": 444, + "28": 444, + "35": 444, + "42": 444, + "49": 444, + "56": 444, + "63": 222 + }, + "targets": { + "8": 7452, + "15": 444, + "22": 444, + "29": 444, + "36": 444, + "43": 444, + "50": 444, + "57": 444, + "64": 222, + "127": 222 + }, + "originals": 11004, + "owned_allocated": 48, + "owned_output_credit": 0, + "QUERYs": 56223, + "rank_surplus": 753 + }, + "params": { + "tested": "350577852559/100000000000000", + "uniform": "175288926279/50000000000000", + "cover_gap": "1/100000000000000", + "rho": "1/100", + "v": 2048, + "alpha_gap": "1/281474976710656", + "grid_denominator": 1000000000000000, + "prime_multiplier": 1152921504606846976, + "cutoff": 17, + "floor": 18, + "u": "1/5" + }, + "raw_crossing_independent_exact": { + "lower": { + "saving": "4382223157/1250000000000", + "margin": [ + "13793602942858070359839799956039/5000000000000000000000000000000000000000", + "6896801471429035179919900187697/2500000000000000000000000000000000000000" + ] + }, + "upper": { + "saving": "87644463141/25000000000000", + "margin": [ + "-5768741678451293246280256332693/1000000000000000000000000000000000000000", + "-28843708392256466231401281243153/5000000000000000000000000000000000000000" + ] + }, + "tested": { + "saving": "350577852559/100000000000000", + "margin": [ + "24452930776637840987087500306479/5000000000000000000000000000000000000000", + "24452930776637840987087500726569/5000000000000000000000000000000000000000" + ] + } + }, + "tail": { + "alpha": [ + "3138550867693267761797508499158576281255719445723558161335/3138550867693340381917894711603833208051177722232017256448", + "6277101735386535523595016998317152562511438891447116534363/6277101735386680763835789423207666416102355444464034512896" + ], + "gamma": [ + "6031329268713497037878457767015342592913384157830621398481/6277101735386680763835789423207666416102355444464034512896", + "6031329268713497037878457767015342592913384157830621756905/6277101735386680763835789423207666416102355444464034512896" + ], + "delta": [ + "364011805590144911868929820462522977617750870517376134889/392318858461667547739736838950479151006397215279002157056", + "728023611180289823737859640925045955235501741034752294537/784637716923335095479473677900958302012794430558004314112" + ], + "normalized_surplus": "4611685880988434431/633825300118726386766778990592", + "H0": 748015044649435137, + "H1": 524475016069298931558990496030 + }, + "C1": "350577852557/100000000000000", + "finite_backend_levels": [ + { + "level": 1, + "completed_backend": "3497804579519/1000000000000000", + "ordinary_exact": "350569878610949/100000000000000000", + "admitted": "3505698786109/1000000000000000" + }, + { + "level": 2, + "completed_backend": "3505698786109/1000000000000000", + "ordinary_exact": "350577772817539/100000000000000000", + "admitted": "140231109127/40000000000000" + }, + { + "level": 3, + "completed_backend": "140231109127/40000000000000", + "ordinary_exact": "70115570351921/20000000000000000", + "admitted": "876444629399/250000000000000" + }, + { + "level": 4, + "completed_backend": "876444629399/250000000000000", + "ordinary_exact": "175288926274513/50000000000000000", + "admitted": "350577852549/100000000000000" + }, + { + "level": 5, + "completed_backend": "350577852549/100000000000000", + "ordinary_exact": "8764446313923/2500000000000000", + "admitted": "3505778525569/1000000000000000" + } + ], + "admitted": "3505778525569/1000000000000000", + "comparator": "3497804579519/1000000000000000", + "relative_gain": "7973946050/3497804579519", + "relative_gain_percent": "797394605000/3497804579519", + "uniform_signed_invoice_improvement": "Relative to PR5667: Pnew-Pold=-162H1-162H7; Tnew-Told=-162H8. Gain162*(1+7^t-8^t)>0 for0max(2^60*N^5,2^(2*H)) avoiding every finitely compiled denominator/rank witness. All QQ matrices and relative SOURCE projectors compiled before choice." + }, + "all_in_fixed_primitive_fee": { + "F": "48*(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<=48*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": "All48whole 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." + } + }, + "strict_margin_range": { + "C_min": "3497804579519/1000000000000000", + "C_max": "351/100000", + "gamma_upper_bound": [ + "6031553312937429052053920596336788169151139422077357308513/6277101735386680763835789423207666416102355444464034512896", + "753944164117178631506740074542098521143892427759669708369/784637716923335095479473677900958302012794430558004314112" + ], + "delta_upper_bound": [ + "5687894767170268958822245021550810577848310158991834291/6129982163463555433433388108601236734474956488734408704", + "728050530197794426729247362758503753964583700350954814007/784637716923335095479473677900958302012794430558004314112" + ], + "rank_mass_tails": [ + 753, + 25440, + 73752, + 76776, + 80880, + 90060, + 91140, + 91140, + 31524, + 31524, + 31524, + 31524, + 31524, + 31524, + 37740, + 31080, + 31080, + 31080, + 31080, + 31080, + 31080, + 40404, + 30636, + 30636, + 30636, + 30636, + 30636, + 30636, + 43068, + 30192, + 30192, + 30192, + 30192, + 30192, + 30192, + 45732, + 29748, + 29748, + 29748, + 29748, + 29748, + 29748, + 48396, + 29304, + 29304, + 29304, + 29304, + 29304, + 29304, + 51060, + 28860, + 28860, + 28860, + 28860, + 28860, + 28860, + 53724, + 28416, + 28416, + 28416, + 28416, + 28416, + 28416, + 42402, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 0 + ], + "tensor_reserve_controls": { + "8": 1024, + "39": 1024, + "48": 2048, + "96": 4096, + "192": 8192, + "384": 16384 + }, + "claim": "Under the retained framework, every ordinary saving strictly below this invoice raw crossing is attainable with fresh finite margins. 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b/research/g20-late-binding-admission/PROOF.md new file mode 100644 index 0000000000..e584778c8b --- /dev/null +++ b/research/g20-late-binding-admission/PROOF.md @@ -0,0 +1,89 @@ +# Source-bound late binding and complete admission + +## 1. Exact source and causal identity + +Pin Dugongue PR5665 at `3cbf1765c9b680ca0a257de9c79f2bc51cce59fa` and the completed PR5667 word at `e9f3375fc06f639285f4fbca44c3280831f84318`. The literal forward source is `research/bit-g20-nine-owned-relations/vendor/g20/provider/data/FORWARD.json.gz` at `5e0052ca0aa3036a3afa8b0438927377c8d97d53`. The runtime uses the inverse word. All consumed files have byte hashes and original source paths. + +The retained endpoint is independent of each full helper entrance. Before a helper's first outward read, its old prefix has the form `h=Lh0+b(x)`, with L invertible, and cannot affect any other current field. To assign a current value v at that cut, choose the counterfactual old entrance `h0=L^-1(v-b(x))`. The runtime does not compute that value. It writes v at the actual shared frame and follows the old suffix. The retained outputs stay equal to their old endpoint. Its old independent helper target must be removed. + +For several cuts, process their first outward reads in chronological order. A helper not yet read cannot affect an earlier binding. The counterfactual entrances can therefore be chosen successively. This is the causal theorem in the frozen proposal; no simultaneous inverse system is assumed. + +## 2. Actual emitted cuts + +The chosen helpers are 223, 319, 331, 344, 371, 375, 484, 501 and 551. The replay checks all nine forward source rows against the literal bytes. Each has one unobserved rank-one query, destination-only prefix additions, and a first read in a three-addition receiver block at a shared rank-seven frame. The three donors are distinct from the other newly retired helpers. + +At global entry, clear each now-owned helper, including its arbitrary dirty entrance. Omit its unobserved prefix. In its three-addition block, perform the other two additions first. While the helper is zero, acquire the actual shared frame. Execute `h += y` and retain `y += h`. Characteristic two makes the whole receiver zero. The old rank-seven query is replaced by its known-zero header transition. Every other suffix instruction remains. Clear each retired output at its old final frame. + +The copy is the literal old pointwise common-frame operation. The native replay checks the actual frame at each ADD. This does not infer matching from scalar equality across two charts. The full native/ROW premise is retained. No productive receiver input is erased: its current information enters the owned helper and the exact suffix preserves its final endpoint. + +The old word's 39 owned fields and these nine distinct retired fields give 48. The word has 636 retained original fields and 684 total entry columns. The scalar and native tests include every column. Physical fixtures use two odd address moduli and the written causal identity is valid on the complete payload module. The source physical main and helper endpoint involutions supply both orientations; destructive clears are not reversed to construct an inverse. + +## 3. Exhausted first-read model + +The model permits one retained full rank-eight helper, deletion of its unobserved invertible unary/destination-only prefix, reordering within its contiguous common-frame receiver ADD block, binding at its last ADD, and omission of the receiver's next write only when that write is a paid native query. No changed suffix, additional receiver assignment, block of helpers, or new native operation belongs to this screen. + +All 423 initially retained full helpers are examined. Helper 413 has a next receiver write outside the model. The remaining 422 candidates comprise nine positive cuts and 413 negative cuts. Their rank-balance counts are `{-7:111,-6:17,-4:180,-2:95,-1:10,0:9}`. The zero-balance cases are exactly the nine `(1,7)->8` splits. + +For a negative case, the sum of removed paid ranks is at most seven. If `07^100`. Thus none improves the signed moment in that interval. The nine chosen cases improve it by strict concavity. Their blocks are disjoint and their joint word passes exact replay. After installing them, all 414 remaining helpers are checked again: 413 negative cases and the same one case outside the model remain. A separate incidence-list method reproduces both complete scans. + +This proves completion of this bounded model, not a global optimum. Changed first readers, block binding, continuation changes or other words require a new screen. + +## 4. Complete caller and paid profile + +Use the same p16/a7 eighteen-call controller. Remove exactly the old global target owners for the nine new helpers in each call. The previous thirteen retired helper owners remain removed. There are 396 retired global originals in total, 11,004 retained original owners, and 48 owned global fields. Each suspended compiled instance later receives a distinct 48-field reserve. + +The full caller checks all retained main and helper outputs and all arbitrary dirty owned columns. Every query has a source descriptor with its exact event, prefix digest, version, epoch, owner and geometric job. Every local use returns all owned fields to zero. The full controller's physical main polynomial check is retained. The separate stream check recounts all queries, targets and ownership boundaries. + +The complete paid histogram is + +``` +{1:24687,2:24156,3:1008,4:1026,5:1836,6:180, + 14:444,21:444,28:444,35:444,42:444,49:444,56:444,63:222} +``` + +The productive histogram is + +``` +{8:7452,15:444,22:444,29:444,36:444,43:444,50:444, + 57:444,64:222,127:222} +``` + +There are 56,223 paid queries and rank surplus 753. Relative to PR5667 the exact moment gain is `162(1+7^(1-C)-8^(1-C))>0`. Relative to PR5512, the prior partial retirements, snapshots and refinements remain present. No lost helper is still credited. + +The global word has 443,094 events: 375,330 ADDs, 3,489 owned CLEARs, 56,223 queries, 324 zero-frame changes, 180 owned zero headers and 7,548 routes. There are 2,529 owned payload episodes. Its stream SHA256 is `5071bc74d8ca909ed0fee2fcd86a955e6448385d5a4f2b57e4e92d53710b2b67`. + +## 5. Fresh strict finite ordinary admission + +Let P and T denote these complete inventories. Two rational-series engines certify the raw crossing in `(.00350577852560,.00350577852564)`. Use tested saving `C=.00350577852559`, uniform saving `U=.00350577852558`, reserve `r=2^-48`, tensor power `v=2048`, and `u=1/5`. They prove + +`P_(1-C)/T_(1-C)<1-r`, + +`P_(1-C+u)/(17^u*T_(1-C))<31/32`, + +`11004*18/(17^C*T_(1-C))<19/20`. + +The exact tensor contraction is `1/(1+vr)+4*2^(-v/32)<1`. The source separation and ambient-rank guards remain. The strict finite compiler rules from PR5667 give `H0=748015044649435137` and `H1=524475016069298931558990496030`. Their inequalities are checked independently. + +The new positive arithmetic majorant uses 517 bits, below the fresh 1024-bit base envelope. All explicit matcher coefficients are included. The base primitive bound is 952,834,512,981: 379,419 scalar/clear/header passes, 2,485,506,384 parent-parking passes, 14,796 routes, all 443,094 records, dimension work for 56,223 queries, and 5,472 frame-506 matcher coefficient terms. These are positive finite counts, not measured runtime. + +Retain the explicit finite recurrences in `prior/PROOF.md`, with `K=2^524288`, `N=2^H1`, and the new 48-field reserve for each compiled instance. Choose fresh coefficients, ranks and denominators before a prime `q>max(2^60*N^5,2^(2H))` avoiding the finite bad-prime set. The fixed primitive multiplier is now `48*(q+2)^(32*(N+1)^2)*(A(N)+2)^8`, multiplied by the positive maximum of all retained and new primitive costs. Owned initialization, full return, parking, routes and normalizers are paid. + +Take cover loss `10^-14`, paid by the exact guard `2^60*10^-14>256`. Thus `L=.00350577852557`. Start from completed backend `b0=.003497804579519`. At each of five levels let `a=.99L+.01b` and set `b=(ceil(10^15*a)-1)/10^15`. The exact admitted sequence is + +``` +.003505698786109 +.003505777728175 +.003505778517596 +.003505778525490 +.003505778525569 +``` + +All adapter, stock, coefficient and rounding gaps are strict. Each backend call uses a completed earlier finite level. Fresh positive constants and eventual thresholds are specified in ORDINARY-RESULT.json. No self-fallback or obsolete owned reserve is used. + +Uniform compiler-tail guards and rank-mass-tail monotonicity are freshly checked on `[b0,.00351]`. Therefore the strict-margin theorem in `prior/PROOF.md` applies: every strict ordinary saving below this invoice's unique crossing is attained with fresh finite parameters. This does not attain the crossing or prove global optimality. The displayed certificate is within 7.1e-14 of the upper bound. + +## 6. Verification and limitations + +Normal and optimized registered commands authenticate all frozen inputs before import, rebuild all artifacts in a fresh copy, and compare exact outputs. Global CPU timing is excluded from deterministic comparison. The two complete domain scans agree. Missing bindings, dirty entry, final return, stale epoch and target-debit controls reject. Finite modular fixtures, written all-input identities and the inherited all-width framework remain separate kinds of evidence. + +Native all-width realization, ROW/spectators, mixed-target compilation, ordinary normalizers/backends, owned erasure/stock, precision/fixed-tape execution and analytic recovery remain premises. The enormous uniform word and rounded multiplier are not materialized. A whole multiplication kappa still needs a compatible Gaussian supplier and outer assembly. No selected change, human mathematical acceptance or formal-kernel proof is claimed. diff --git a/research/g20-late-binding-admission/README.md b/research/g20-late-binding-admission/README.md new file mode 100644 index 0000000000..ed4bb5962f --- /dev/null +++ b/research/g20-late-binding-admission/README.md @@ -0,0 +1,38 @@ +# Complete G20 late-binding admission + +The emitted G20 word admits conditional ordinary BIT saving **0.003505778525569**. The gain over the completed PR5667 component is **0.000007973946050**, about **0.227970%**. It is above the informal PR5665 bound .003503. This is not a whole multiplication kappa claim. + +Dugongue PR5665 supplies the deferred-input theorem and nine source cuts. This package checks their literal source conditions, emits the changed word, installs it in the full eighteen-call controller, and supplies fresh ordinary admission. Each retired helper loses its independent rank-eight target. Its unobserved rank-one query and one newly zero receiver's rank-seven query disappear. The complete change is `Pnew-Pold=-162H1-162H7`, `Tnew-Told=-162H8`. The rank surplus stays 753. + +There are 11,004 retained originals, 48 owned fields, 56,223 paid queries, 443,094 global events and 2,529 owned payload episodes. Every query has a current source owner, version, epoch and prefix digest. The same frame-506 matcher is fully charged. The new positive precision majorant has 517 bits. The proposal used a conservative 49-field reserve; the actual emitted word uses 48. + +The construction exhausts its stated single-helper first-read model on this word. A scan of all 423 retained helper targets finds nine positive cuts, 413 negative cuts and one cut outside that model. A second scan after installation has 414 retained helpers and no positive cut. A separate incidence-list implementation agrees. For every negative cut, the sum of removed native ranks is at most seven; `8^99>7^100` proves loss for the complete interval `00`. This does not exclude block binding, changed continuations, other receivers or new words. + +Two rational-series implementations bound the raw crossing in `(.00350577852560,.00350577852564)`. Fresh strict tensor, batching, cover and five-level ordinary parameters give the stated saving, within 7.1e-14 of the upper crossing bound. The strict-margin theorem from PR5667 applies to this new invoice after fresh uniform-tail and rank-mass-tail checks. Thus every ordinary saving strictly below this invoice crossing is attainable under the same framework. The crossing itself is not admitted. + +## Reproduction + +```sh +python3.12 -I -W error -B research/g20-late-binding-admission/verify.py +python3.12 -I -O -W error -B research/g20-late-binding-admission/verify.py +``` + +Expected: `PASS_G20_LATE_BINDING_COMPLETE_ORDINARY_003505778525569`. Python 3.12 and the standard library suffice. The verifier authenticates 41 frozen files before use, rebuilds every output in a fresh copy, compares the result and checks a changed target invoice. Published files stay unchanged. + +The native check covers all 684 entry columns, including arbitrary dirty owned data, over address moduli 101 and 10201. A separate adjoint uses different points. Eleven changed words reject: each missing binding, a missing dirty-entry clear and a missing final clear. The second global checker rejects a stale query epoch and a missing target debit. These finite fixtures support the written source identity; they do not prove all physical widths by themselves. + +[PROOF.md](PROOF.md), [CUTS.json](CUTS.json), [WORD.json.gz](WORD.json.gz), [GLOBAL-RESULT.json](GLOBAL-RESULT.json), [ORDINARY-RESULT.json](ORDINARY-RESULT.json) and [INDEPENDENT-RESULT.json](INDEPENDENT-RESULT.json) contain the exact result. [INPUTS.json](INPUTS.json) identifies the consumed frozen files. + +## Scope and remaining assumptions + +Native arbitrary-function/all-column realization, ROW/spectator behavior, constructive mixed-target compilation, ordinary normalizers and completed backends, owned stock, precision, fixed-tape and analytic recovery remain the retained framework. Positive primitive fees are finite schemas, not measured machine times. The huge uniform word and rounded multiplier are not executed. A compatible funded Gaussian supplier and complete outer assembly remain necessary for a whole kappa claim. + +Base is canonical main `df0137efd35e11b4445734bf612bdd4c7ebc330c`, priority7. Selected .00310045 is unchanged. Full-history ancestry preflight is unavailable in this shallow checkout. Hosted CI and independent human acceptance are separate from the local replay. + +Prepared by Ali Romman with substantial OpenAI Codex assistance. Credit Dugongue PR5665 for the causal theorem and cuts; ai-nanachi PR5512, Ali Romman PR5421/5653/5662/5667 and the complete retained native, controller, ordinary, stock and precision lineage. The complete predecessor notices remain. New code, integration, census and evidence are Apache-2.0. + +## Open next questions + +- Supply a compatible stronger Gaussian caller and its complete outer bill. Discussion5600 has a separate P104 deferred-input claim; do not duplicate it. +- Change the first-read contract through block binding or a new continuation. The present single-helper model has no further positive cut on the emitted word. +- Independently audit the inherited native/ROW and physical normalizer premises. 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