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100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/selective-borrowing-kappa/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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"owners/notices/PR1005-UPSTREAM-NOTICE.md": "a75967ebc34e3bf2ff2c25c08e6c7f1a61b0c0d171cfd1b62196ae2caaf2c610", + "owners/OWNERS.json.gz": "892b49f97d4caa7e92918262ea3a8cfa8cbf273c92d574ae53bb89a61ee5e847", + "owners/SOURCES.json": "6104a2654648eb5fe7501d408cefc206f7c5a178933a9cd34d43812d05796caf", + "owners/verify.py": "ea3aa8eb486116cddc9063c5898279d08dd6d2c745605de5a234a70c2c0c7404", + "PROOF-LOCAL.md": "eb8a083f2ef5348a24e9f8873092eecdc2f5a95b5e86f09d6fb10e2dcf398960", + "PROOF-OWNERS.md": "268292c6cd87e7c1be15390506412c65fee363b92ea47f6ce7bb51eff9f084d7", + "PROOF.md": "5b166115490a71e9ec406497a4177e4b681e96185d0fcee9ceda69020301b23b", + "README.md": "58df7f66256f4ab1b68725aff9166e19d8a62424d72159345b96246062108b78", + "SOURCES.json": "87bbcd02b7dee75bc45bc4847cf66fa82c099f0a971a1098db1911db434be74f", + "TASK.json": "5b599a8a2621b302915191ec5564d97ec72e411e84fd000c15b20dc7741048be", + "VERIFY.json": "f1a3f817d9322fde668eb9c02ac60d1229e8680d8a2daab04b90c4d44438c34b", + "verify.py": "6811dd2e3b393ad14181f32556eaedaba45271759e3595e93f30edebac776a9a" + } +} diff --git a/research/selective-borrowing-kappa/NOTICE.md b/research/selective-borrowing-kappa/NOTICE.md new file mode 100644 index 0000000000..cf8d16b6fc --- /dev/null +++ b/research/selective-borrowing-kappa/NOTICE.md @@ -0,0 +1,41 @@ +# Attribution and retained licenses + +Prepared for Dugongue with substantial OpenAI Codex assistance: one primary +agent and three construction, theory and independent-audit agents. Independent +agent checks are not independent human review. New work is Apache-2.0, under +the accompanying LICENSE. Required upstream notices are retained verbatim. + +Cinna Davis (1337 isnot 1337), PR 2226, commit +dacaf3d81f1936bb55b8454b1244e5d014272754, supplied the anticipatory dirty-reference +borrowing architecture, initial compensation and private cleanup. The bundled +PR2226 replay and public source word/certificate retain that provenance. This +package contributes the 44-selection, both full native words and reflected +orientation, complete normalized ABIs, actual T 8 owner repacking, finite invoice, +and the resulting improved conditional exponent; it does not claim invention +of the predecessor borrowing architecture. + +The exact Clifford compiler/native interpreter retain the PR1972/1991, +PR1862 and FRAME-SA504 notices in local/vendor. The local source word retains +the gauge44/leaver8, frame and selected-complex block lineage. PR1005's +research/gauge44-leaver8 supplies PLAN, canonical hosted parent and DATA-PHASES +lineage; its notices and Apache license are in owners/notices. The independent +raw parent has the distinct retained path +research/complex-k492-owner-repair/vendor/multicold/vendor/pr558/vendor/pr552/complex-global/vendor535/inputs/ROUND20-PARENT-TEMPLATE.json.gz. +Its SHA256 is025448abdf2012d327e50a009084e1501690d05e650300d2982836aa0350ae00. + +The arithmetic engines and retained bit EXPECTED data are copied byte-for-byte +from CrocSwap/integer-mult-bounds main0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2; +arithmetic/SOURCES.json gives exact upstream paths/URLs/hashes. The retained +outer engine credits eumemic, icekylinx, Zhihao Chen/PR23, and hipotures/RaD for +the balanced transform. Its 47 constraints are preserved. The exact linear +semantic guard and near-parent recurrence follow the reviewed RaD transfer: +https://github.com/hipotures/rad/blob/45d9b60355872041f9275f77c057514def0d45bc/reports/review-semantic-child-guard.md +and review-whole-complex-transfer.md at that revision. These identify the +original CrocSwap manuscript bcd4ebde8692383539f8a48734e5fbf3a18a32c2 and retained +compact-control revision6e564879f51ae16f23d392e9e196c605f36d90df. + +No source imports the contributor's private Lean library. The eleven universal +Lean lemmas import only Mathlib; the Python replay uses bundled public inputs +and the standard library. Earlier personal multitape/returned-workspace work +informed decomposition, but no full Problem 1.8 theorem is claimed as ported, +imported or required here. diff --git a/research/selective-borrowing-kappa/PROOF-LOCAL.md b/research/selective-borrowing-kappa/PROOF-LOCAL.md new file mode 100644 index 0000000000..d16c7549ce --- /dev/null +++ b/research/selective-borrowing-kappa/PROOF-LOCAL.md @@ -0,0 +1,205 @@ +# Exact local construction and finite charges + +This campaign's positive local contribution is an actual two-orientation native +word for a **44-alias sub-witness of Cinna Davis's PR #2226**. It retains the 48 +high-helper aliases except the four from block 632. The predecessor's original +80-alias proposal, scalar architecture, initial compensation mechanism and +source attribution remain credited to PR #2226 and its retained lineage. The new +work here is explicit chronological emission, reflected completion, every native +operator/phase binding, actual endpoint normalizers, and source-bound finite +precision and work charges. These are finite arithmetic/operator certificates; +they are not new Lean multiplication theorems. + +The exact selected local profile is + +``` +{1:2424, 2:418, 3:429, 4:141, 5:42, 8:8} +``` + +Its mass is 5385, including COPY 64. There are 436 actual physical helpers with +residual-width inventory `{4:40, 5:4, 7:27, 8:125, 9:240}`. Width always means +`dim(final frame) - dim(initial frame)`; nonzero entrances are retained. The +660 independent public/data/helper inputs are arbitrary. Seventy-five additional +owned zero arrays are used by FULL-frame inverse cleanup, and one COPY array is +used sequentially. Two additional coefficient-work reserves are charged for +literal Horner arithmetic. These arrays are not declared free dirty storage. + +## Universal finite execution and dirty restoration + +Fix the explicit emitted forward and backward traces and the native recipes +named by their chronological occurrence references. On every assignment of the +660 public input arrays, with the declared private arrays initially zero: + +* The normalized forward endpoint is `Y_i <- Y_i + X_i`, with every other + public input restored. +* The normalized backward endpoint is `X_i <- X_i - Y_i`, with every other + public input restored. +* Every owned private array returns to zero. An explicit exact CLEAR postlude + is charged and replayed as well. It does not rely on an implicit zero return. + +The emitting replay and a separately written row interpreter both verify the +literal programs over exact rational coefficients and a free noncommutative +operator algebra. They replay the COPY guards, resets, changed references, all +cleanup operations and the fixed coefficient chronology. A normalized row has +an independent input label and an ordered word in the reference-change +operators; only adjacent inverse pairs cancel. Thus arbitrary dirty inputs and +operator order, rather than only the all-zero helper assignment, are checked. + +## The actual backward construction + +The forward word is extended by literal destructive COPY/CLEAR semantics; +private incoming columns are ignored and private output rows vanish. Reverse +the scalar chronology, transpose each ADD, retain each real SCALE coefficient, +and complement every frame. A COPY is reflected into an ADD to its source +followed by CLEAR; CLEAR remains CLEAR. Existing owned-zero arrays are explicitly +reframed only when their literal content is zero. Conjugating the source sign at +entry and exit supplies the negative shear. + +For a forward logical change `K_i`, the reflected logical change is + +``` +J_i = F K_i^dagger F^(-1). +``` + +Using `K_i^dagger` alone at complemented frames would be invalid: the resulting +handoffs can have positive Fourier rank. The actual `J_i` choices are compiled +and every reflected handoff is independently checked to have rank zero. +The complete backward endpoint is independently replayed, rather than inferred +from an inverse of a program whose private COPY operation is noninvertible. + +## Native operators and complete endpoint ABI + +Each literal transport is lowered through the retained exact Clifford compiler. +A separately implemented signed-Pauli interpreter verifies all eighteen Pauli +generators and an exact Gaussian state fixes global phase. This determines the +complete Clifford operator, not merely its binary symplectic matrix. There are +2,996 distinct checked native jobs in each orientation, including all actual +reference changes and all 436 relative helper endpoints. Cache reuse compares +the exact literal circuit and rank; a renumbered operator symbol alone is never +a cache key. + +For each actual helper entrance `E` and exit `U`, compute its literal relative +operator `H = T_U T_E^(-1)`. Its compiled normal form is + +``` +H = L C_w R, w = dim(U) - dim(E). +``` + +The shipped prewrapper is `R^(-1)` and the postwrapper is `L^(-1)`. Therefore + +``` +postwrapper * H * prewrapper = C_w tensor I_(9-w) +``` + +on every arbitrary dirty array, including the exact scalar phase. Coordinates +`0..w-1` are the normalized child coordinates; the other coordinates are literal +spectators. Every one of 436 wrappers is checked in both orientations. Another +224 actual monomial adapters per orientation identify the source `C_p` and +target `C_p^(-1) F` intrinsic data conventions. The global owner certificate +must place these actual normalized child coordinates into its pending block; +equal rank alone does not provide the owner chart. + +The finite native equality also specifies the repeated-coordinate lift: use the +`lambda`-fold tensor of each native factor. A scalar phase `i^a` in a finite +monomial then becomes `i^(a*lambda)`. Tensoring the checked equality preserves +the complete operator and its phase, with Fourier rank `w*lambda`; it does not +license reusing an unlifted scalar phase. The local free-operator proof is +universal in its operator inputs, so its scalar chronology is unchanged. + +## Exact fine-grid precision and active recursion depth + +The retained completed-child interface is exact Gaussian dyadic arithmetic; +there is no intermediate child rounding. A child on `r*f` axes has coefficients +in `2^(-r*f) Z[i]` and coordinate row-sum at most `2^(r*f)`. Inverse children use +the exact unit-phase identity. Only the outer completed layer truncates. The new +word preserves this interface: each scalar coefficient is dyadic, the actual +Horner realization uses only doubling, halving, addition and sign, and every +native monomial uses only permutations and unit Gaussian phases. + +Every compound ADD is explicitly expanded through owned coefficient work: +clear, build its integer numerator by Horner doubling/addition, halve for the +denominator, accumulate with sign, then clear. SCALE expands into doubling, +halving and negation; SWAP expands into three ADDs and negation. All these +operations and both final exact CLEAR postludes are charged in the fresh invoice. + +The noncancellation ideal envelope gives `P<=2^62` forward and `P<=2^63` +backward in stream Hilbert norm, including every private/work intermediate. +The 72 complete local calls and 72 bridge sweeps have normalized Hilbert norm +at most two each. For `lambda>=1`, conversion of an input coordinate bound to +Hilbert norm costs at most `37*lambda`, so the fresh magnitude guard is + +``` +63 + 144 + 37*lambda <= 244*lambda < 512*lambda. +``` + +The coefficient 512 is charged per lambda. Denominator exponents and recursive +temporary magnitudes are charged separately through the retained exact active- +depth argument. For the literal rank mass `s`, fresh nonchild charge `E`, +`B=s+E>=8`, and largest proper child rank `rmax<=72`, that argument is + +``` +A(e) <= A(rmax*floor(e/73)) + s*floor(e/73) + E, +A(e) <= 2*B*e, +A_layer(d) <= (2*B+18)*d < 32*73*B^2*d. +``` + +The fresh integer invoice checks `32*73*B^2 < 2^210000`, so the retained +common grid `Delta=ceil(2^210000*d)` covers this new word. Completed children, +rather than their internal temporaries, are composed; there is no multiplication +of each temporary bound by the number of sibling calls. This uses the retained +all-size exact compiler/child contract, not a strengthened error hypothesis. + +## Optional numerical robustness theorem + +The local precision receipts additionally prove a sufficient feedback bound +under their explicitly stated relative Hilbert-defect model. This is an +auxiliary implication; the exact fine-grid construction does not assume that +rounded-child model. Both real arithmetic component errors and all private +array errors are propagated through the expanded Horner/SWAP program. + +| Orientation | Ideal all-cut bound P | Defect propagation bound K | Sufficient local guard | +|---|---:|---:|---:| +| Forward | `P<=2^62` | `K<=2^65` |130 bits| +| Backward | `P<=2^63` | `K<=2^67` |133 bits| + +For initial maximum norm `B>=0`, linearity yields +`Emax<=K*u*(P*B+Emax)`. The recorded guard `p+k+3` implies +`Emax<=B*2^(-b)`, strictly for `B>0`; the relative model forces zero at `B=0`. +A separate coarse 506-per-lambda composition guard is recorded conditionally +on those defect contracts. Neither that optional model nor a coordinatewise +rounded-child implementation is asserted to be an inherited project theorem. + +## Fresh finite work and stock invoice + +The invoice binds the actual 31,392-row canonical owner table and all 72 complete +calls. It retains all 492 old local helper reserves, adds all 75 cleanup arrays, +and keeps eight centre and two coefficient-work reserves: + +``` +physical families =7168 +492 +75 +8 +2 =7745. +``` + +This deliberately charges more than the actual436 helper roles. Actual scalar +counts, including the exact private CLEAR postlude, are 162,954 real-component +primitives forward and 163,618 backward. Forty forward calls and thirty-two +backward calls total 11,753,936 such primitives. Routing/selection, every wrapper, +all literal instructions and the coefficient work are separately overcharged +through the retained `64*74^3` chart-compiler convention. The local primitive +bound has 44 bits and is strictly below `2^48`. + +Fresh integer evaluation gives: + +| Finite quantity | Fresh value | Retained bound | +|---|---:|---:| +| Physical stock bits |2641| source-counted | +| Logical work bits |2680|6050| +| Router work bits |7985|30000| +| Literal work bits |35282|100000| +| Physical row coefficient |16467|20161| +| Required C0 bits |200012|210000| + +These charges use the existing m=73 cover order and chart/row conventions with +the new literal program and new stock. No old invoice is copied as though it +checked the new word. The retained all-size compiler, physical route/tape, +exact completed-child common-grid and analytic-transfer hypotheses remain explicit. +The exact moment and all 47 outer inequalities are a separate assembly check. diff --git a/research/selective-borrowing-kappa/PROOF-OWNERS.md b/research/selective-borrowing-kappa/PROOF-OWNERS.md new file mode 100644 index 0000000000..85f444e71c --- /dev/null +++ b/research/selective-borrowing-kappa/PROOF-OWNERS.md @@ -0,0 +1,135 @@ +# Whole-family ownership and physical charts + +The owner certificate `owners/OWNERS.json.gz` contains all **31,392 helper roles** +in the 72 inherited invocations of the selected local word. Each invocation uses +436 complete helper families and retains the parent's 224 literal active data +families. The source-bound check is: + +```sh +python -I -O -B owners/verify.py +``` + +Run that command from this package directory. It reads only package inputs. An +optional `--out /path/outside/this/package` writes a fresh receipt and regenerated +chart certificate outside the package; an existing receipt is never overwritten. +Python 3.10 or later is required. The verifier uses only the standard library and +has no optimizer, solver, network, personal-library or Lean dependency. Explicit +checks remain enabled with Python's `-O` flag. + +This proves the finite ownership and chart assembly below, conditional on the +retained exact chart/cover semantics and the local operator identities checked +separately in `PROOF-LOCAL.md`. It does not establish the all-size realization, +recursive work, precision, tape or analytic transfer interfaces by itself. + +## Immutable inputs and actual time windows + +`owners/SOURCES.json` records the source hashes and public ancestry. The actual +hosted parent is `owners/inputs/HOSTED-PARENT.json.gz`, SHA-256 +`f713f8e66aaeaebb8202fe72bf36c7d23497152497342c27892e0fda3092f95b`. +The source DATA-PHASES is SHA-256 +`c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa`. +The selected forward trace is SHA-256 +`a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee`. +The canonical owner bytes are SHA-256 +`892b49f97d4caa7e92918262ea3a8cfa8cbf273c92d574ae53bb89a61ee5e847`. +These pins are checked before parsing the corresponding inputs. + +The verifier walks the complete serialized parent execution schedule. A local +invocation touches its data pair; each bridge touches both source and destination +pairs. For every inherited idle child it records the last physical touch and the +child's execution position. The supplied PLAN's allowed call indices must equal +the strictly intervening invocations, exactly. This reconstructs the windows from +the actual schedule, including every bridge, rather than trusting a PLAN interval. +The 160 derived windows include the zero-rank child entries; the PLAN records +only the 144 nonzero windows. + +Every helper must lie wholly inside its assigned window and on a family absent +from all 224 active data families of that invocation. Family identities are +literal, not interchangeable rank counters. The public ABI is + +```text +copy = owner_replica * 112 + port +family = owner_replica * 896 + (2 * pair + side) * 112 + port. +``` + +The checker reconstructs and verifies both fields. It also checks exact role +completeness and at most one helper per whole physical family in an invocation. + +## Actual chart construction + +For each port, the actual DATA-PHASES `q` is first required to equal the retained +local word's port label. To construct its orthogonal 73-column binary basis, +choose the first zero bit `z` of `q` among bits 0 through 8, put +`a = q xor (1 << z)`, and move index `z` to the front of the nine local indices. +For these ordered indices `i`, use the vectors +`(1 << i) xor a` when bit `i` of `a` is set, and `1 << i` otherwise. Append +`1 << i` for indices 9 through 72. The checker verifies all 73 squared norms and +all pairwise binary inner products. Every literal inherited pending-child axis +must belong to this basis, with the exact inherited rank and no repetitions. + +A width `d` helper's actual endpoint frames must be nested, and their dimension +difference must equal `d`. The separately checked whole-helper normalizer gives, +with its exact scalar phase, + +```text +post * (T_final * inverse(T_initial)) * pre = C_d tensor I_(9-d). +``` + +The chart sends the `d` normalized coordinates to the helper's exact assigned +contiguous block of the pending child's axis list. It chooses the first `9-d` +unused actual basis axes as explicit spectators, and appends all remaining axes. +The resulting 73 indices must be a permutation. The checker regenerates all +7,150 distinct physical charts and every complete helper route, and compares the +complete payload with `owners/CHARTS.json.gz`. + +The normalized whole-helper action therefore contributes precisely the assigned +pending coordinate factors and restores its spectators. Local helper inputs are +arbitrary inputs; the 76 separately owned private fields of the local trace do not +silently replace borrowed inputs by zero. Each invocation completes before the +next one begins. Intermediate spectator use consequently creates no concurrent +physical operation on the same family, even when different invocations use +different complete charts. + +## Exact inherited parent action + +Within each literal `(owner_replica, child, port)` the assigned axis blocks must +be pairwise disjoint and form an exact prefix. The residual child is the exact +suffix of the same inherited list. These commuting coordinate factors multiply +to the original child factor. Blocks are never transferred between different +children or families because their dimensions happen to match. + +Each helper executes after the preceding physical-family touch and before the +pending child. Moving its completed factor to that child's location crosses no +physical-family operation except other completed factors on disjoint orthogonal +coordinates, which commute. The whole-helper identity is the identity on every +spectator. Thus composing the completed helpers and the residual suffix preserves +the original parent's physical data action under the retained exact semantics. + +**All child phase and translation boundaries remain inherited, including children +whose residual rank is zero.** A rank-zero residual has no paid coordinate factor; +it does not authorize deleting its `translation_after` or other child metadata. +The complete unchanged hosted parent and DATA-PHASES carry these boundaries. +`owners/CHARTS.json.gz` is a coordinate-factor view, not a replacement serialized +parent program. The independent family-operator replay additionally checks the +complete factor partition and the zero-rank boundaries. + +## Recount and controls + +The selected local profile multiplied by 72 plus every actual residual suffix is + +```text +{1:176252, 2:30096, 3:30908, 4:10152, 5:4493, 6:18, + 7:494, 8:576, 32:11, 39:7, 48:2493}. +``` + +Its rank mass is 520704, its inherited live stock is 7168, and its deficit is +`73*7168 - 520704 = 2560`. All counts and the entire deterministic receipt are +recomputed and compared with `owners/EXPECTED.json`. The profile is an actual +combined invoice; it is not a sum of separately advertised gains. The exact +moment and outer arithmetic, and the global work/precision invoice, are checked +separately. + +Five negative controls alter the copy index, family, offset, width, or complete +role cardinality. Each must fail the same mathematical checker, without relying +on a mismatched input hash. Input-byte pins additionally reject changed retained +sources before certificate replay. diff --git a/research/selective-borrowing-kappa/PROOF.md b/research/selective-borrowing-kappa/PROOF.md new file mode 100644 index 0000000000..aefa25b24f --- /dev/null +++ b/research/selective-borrowing-kappa/PROOF.md @@ -0,0 +1,117 @@ +# Sufficient assembly for kappa =3361/2000000 + +## Exact local and physical construction + +Use the44-selection in `local/inputs/WITNESS.json`. The complete local induction +and exact Gaussian native checks establish the two required endpoint shears, +restore arbitrary dirty helpers, and return all owned private fields to zero. +The local paid profile is + +``` +{1:2424,2:418,3:429,4:141,5:42,8:8}, mass5385. +``` + +The helper inventory uses actual relative endpoint width, including nonzero +entrance frames: `{4:40,5:4,7:27,8:125,9:240}`. The opposite orientation is the +complete reflected adjoint word, including COPY/CLEAR projectors and phases. +A naive adjoint substitution is not used. `PROOF-LOCAL.md` gives the universal +free-operator induction and the tensor lift, with scalar phase i^a lifted to +i^(a*lambda). Every helper includes actual pre/post monomial normalizers. + +The owner certificate places all 72*436 helper actions in actual pending physical +children of the retained T 8 parent, using disjoint literal coordinate blocks, +full untouched-family windows, and 73-column orthogonal charts. Invocations +serialize; each whole-helper operator restores all spectator coordinates. +Within the same physical family its normalized Gaussian axis factors commute. +The independent audit checks 387072 original factors, partitioned as 254088 hosted +and 132984 residual, with every retained translation boundary. It preserves +physical family tags, directions and exact phases. Thus the completed helpers +and residual children reproduce the original parent action. A global bag of +axis ranks or untagged factors would not suffice; this avoids the withdrawn +cross-family axis-overlay error of PR1324/1305. + +## Finite invoice and retained exact contract + +The construction retains 7168 data families and all 492 old helper reserves, +then charges 75 cleanup arrays,8 centres and 2 coefficient-work reserves, giving +7745 families. Actual Horner, SWAP and dyadic primitive work is recounted. +The exact completed-child interface and active-depth recurrence yield the +common fine-grid coefficient bound, with fresh C 0<2^210000. The magnitude guard +is 244*lambda<512*lambda, and the new row coefficient 16467<20161. The finite +invoice reuses the existing chart/cover conventions but evaluates the new +literal word and stock. It does not multiply internal child temporaries across +siblings or truncate at child boundaries. + +For B=s+E>=8 and largest proper child rank rmax<73, +A(e)<=A(rmax*floor(e/73))+s*floor(e/73)+E gives A(e)<=2Be by induction. +Indeed, for f=floor(e/73)>=1, 2B(73-rmax)>=s+E, and the base leaf has A(e)<=8e. +The retained disjoint outer decomposition plus 18 d extra units gives +A_layer(d)<32*73*B^2*d. The fresh invoice verifies the chosen C 0 dominates this. +The retained all-size compiler must implement the lifted local operations and +physical charts under those existing exact interfaces. This is a sufficient +conditional assembly, not a new proof of that entire compiler. + +## Exact recurrence saving + +Fresh recount from the raw owners and local trace gives + +``` +{1:176252,2:30096,3:30908,4:10152,5:4493,6:18, + 7:494,8:576,32:11,39:7,48:2493}. +``` + +Here m=73, W=7168, rank mass 520704 and deficit 2560. The retained halving guard +73^2>2*48^2 holds. The Mercator engine with 224-bit dyadic enclosures and the +independent 80-term atanh engine both enclose the complete paid moment strictly +below1 at b=8417/5000000. Both the native moment and the more conservative +retained bad-residue surcharge pass. These engines import no producer profile; +the outer checker independently recounts the full profile from literal owners. +The unchanged bit rail is checked at +c=1733427039589844234749/10^24, including its old surcharge and exact deficit. +Its circuit/realization assumptions remain inherited. + +## Fixed-depth bootstrap and finite constants + +Take eta=beta=10^-8 and s=min(c,(1-beta)*b)-10^-11. +Let a0=384599/10^10 and aj=(1-s)*s+s*a(j-1) for j=1,...,7. +The retained stopped construction, calling only the preceding completed level, +has normalized cost + +Tj(e)/V=O(e^(1-s)+e^((1-s)^2+s*(1-a(j-1)))+e^s log(e)). + +The seven exact positive stage gaps checked by the script imply ordinary saving +aj. Coarse children decrease width; ordinary calls decrease j; a 0 never calls +a new level. Seven is a fixed finite depth, so fixed tape counts compose. + +For each stage choose a finite constant C dominating its fixed implementation, +primitive, setup, wrapper, row and previous completed-level constants. This +exists under the inherited completed-interface hypotheses. Choose an integer +ell with C<2^ell, and let g be the minimum positive stage gap. The sufficient +threshold recipe is + +L=max(ceil(36/g^2),ceil(2*(4+ell)/g)), e0=2^L. + +For t=log2(e)>=L, 2log2(t)<=3sqrt(t)<=g*t/2 and4+ell<=g*t/2, +so C*16*t^2<=2^(g*t). Absorb the fixed number of lower-order terms into C; +use the preceding algorithm below e 0 and choose the next finite constant +sequentially. This is not circular and is independent of the input size. +The checker records example thresholds for ell 512 only as arithmetic controls; +512 does not bound the actual implementation constants or C 0. An actual +threshold must use its own dominating ell at each stage. + +## Outer assembly and conclusion + +Feed a 7,b to the unchanged balanced-prefix outer assembly with C 1=1, +C0=2^210000, literal gap1 and degree gap10^6-(51/25)*20161>0. +The exact checker recomputes all 47 strict constraints and all seven performance +margins. Each exceeds kappa=3361/2000000 where required. The controls reject +zero eta, zero beta, beta 1, a kappa above the balanced margin, and a supplier +saving whose paid moment already exceeds 1. No decimal optimization is proof +input; all admission arithmetic uses exact rational intervals. + +Under the retained all-size exact complex/bit interfaces, physical fixed-tape +realization, completed ordinary bootstrap, exact recovery and analytic transfer, +this construction therefore supplies the project bound with kappa=0.0016805. +These inherited premises and their publication status are unchanged. The claim +is the new checked conditional construction and exponent, not an unconditional +integer multiplication theorem or a full proof-assistant formalization. diff --git a/research/selective-borrowing-kappa/README.md b/research/selective-borrowing-kappa/README.md new file mode 100644 index 0000000000..48809a8500 --- /dev/null +++ b/research/selective-borrowing-kappa/README.md @@ -0,0 +1,83 @@ +# Selective 44 borrowing: conditional kappa =0.0016805 + +This package constructs and checks a new finite complex supplier and derives +`kappa=3361/2000000=0.0016805` under the project's retained all-size and analytic +interfaces. This exceeds the highest competing open conditional claim found in +the recorded review, approximately 0.0016797549561255445 (PR 2220), by about +0.000000745043874455, or 0.0443543%. The maintainer-selected bound is separately +0.001672660197076918. No selected pointer is changed. + +The construction selects 44 high dirty-reference aliases, retaining the four +high helpers in block 632, and completes both native orientations of PR 2226's +anticipatory borrowing architecture. It has 436 physical helper roles per call, +75 new cleanup buffers, and a local paid rank mass 5385. New multi-bin repacking +hosts all 31,392 roles of the actual 72-call T 8 controller. The independently +recounted complex saving is at least 0.0016834, even with the retained conservative +bad-residue surcharge. This gain changes the paid construction rather than +refining digits of a predecessor's moment root. + +## Reproduce + +Python 3.10+ and the standard library suffice for certificate replay. From the +repository root: + +```sh +python3 -I -O -B research/selective-borrowing-kappa/verify.py +``` + +For persistent receipts, append `--out /an/unused/directory/outside/the/package`. +The source package remains byte-identical. The registered Python 3.12 hook is: + +```sh +python3.12 scripts/research_package.py --package research/selective-borrowing-kappa +``` + +`VERIFY.json` registers this exact command for CI. The four-agent local campaign +used CPython 3.11.9; a Python 3.12 or hosted CI pass is not asserted in advance. +Optional `local/rebuild.py` regenerates the44-selection traces; certificate replay +needs neither SciPy nor a solver. Finite replay usually takes under two minutes. + +## Proof and audit map + +- `PROOF.md`: sufficient composition and exact bootstrap/outer assembly. +- `PROOF-LOCAL.md`: both complete native words, arbitrary dirty inputs, actual + helper and data adapters, tensor phases, exact common-grid precision and stock. +- `PROOF-OWNERS.md`: literal physical families, chronology, charts and residuals. +- `independent/PROOF.md`: separate family-tagged Gaussian factor partition. +- `arithmetic/verify.py`: raw owner recount, two independent rational moment + engines, retained bit rail, seven-level bootstrap, all 47 strict inequalities. +- `lean/Factors.lean` and `lean/Feedback.lean`: eleven Mathlib-only universal + lemmas, independently kernel/axiom checked. These establish algebraic + reordering and an optional feedback implication; they do not formalize the + entire finite certificate or the integer multiplication theorem. + +All 5992 actual native jobs,436 helper normalizers plus 224 data adapters in each +orientation, all 660 public input columns, both 76-CLEAR owned-private postludes, +7150 literal 73-column charts, and 387072 parent factors are checked. Local, owner, +physical-factor and outer fault controls reject. `MANIFEST.json` binds every +published file; source pins bind the public predecessors. + +## Scope + +This is a conditional finite supplier contribution. It supplies the changed +local/native/hosting/work/stock/precision evidence and exact arithmetic assembly. +The project's all-size common-label and mutable-source realization, physical +routing and fixed-tape compiler, retained bit construction, exact recovery and +analytic transfer remain inherited premises. Exact Gaussian dyadic arithmetic +is used inside children, with the outer truncation boundary retained. The +auxiliary relative-error envelope introduces no rounded-child assumption into +admission. No unconditional multiplication theorem, complete Lean proof, +independent human review or global optimality is claimed. + +The broad recent review and final checkpoint are recorded in `FRONTIER.json`. +It covers PR metadata and targeted relevant source review, not every discussion +or arbitrary diff. Upstream credit and licenses are in `NOTICE.md` and retained +notices. No personal Lean tree or original machine path is imported. + +## Open next questions + +Can another alias selection or joint bin dissolution improve the fully hosted +profile? Change one input in a separate experimental copy and rerun the entire +admission. Can the finite Python certificates be reflected into Lean? The +included universal lemmas provide an algebraic starting point, without claiming +that reflection has already been implemented. diff --git a/research/selective-borrowing-kappa/SOURCES.json b/research/selective-borrowing-kappa/SOURCES.json new file mode 100644 index 0000000000..b4d2a8a572 --- /dev/null +++ b/research/selective-borrowing-kappa/SOURCES.json @@ -0,0 +1,24 @@ +{ + "schema_version": 1, + "base_commit": "0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "ae6a99f28aa468649eb66a361e764d769363bf11", + "sha256": "10b9e340fd8e354a37a0c4813c90e5de1dd42044b5f6aca4a3fc5a42b685fa32" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "e8870e5917057d59b730eb14721a778639eca050", + "sha256": "d46eb6d5b3e279428753d770653663fbdf1063e55c255ea073d768f344927ef7" + } + ], + "retained_sources": { + "local": "local/SOURCE-PINS.json", + "owners": "owners/SOURCES.json", + "physical_factors": "independent/SOURCES.json", + "arithmetic": "arithmetic/SOURCES.json" + } +} diff --git a/research/selective-borrowing-kappa/TASK.json b/research/selective-borrowing-kappa/TASK.json new file mode 100644 index 0000000000..f705c894a7 --- /dev/null +++ b/research/selective-borrowing-kappa/TASK.json @@ -0,0 +1,64 @@ +{ + "schema_version": 1, + "task_id": "complex-new-helper-inventory", + "priority_revision": 4, + "base_commit": "0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2", + "original_card": { + "id": "complex-new-helper-inventory", + "question": "Can a new local cost interface change the deficit-to-recursive-cost ratio beyond current packing?", + "starting_points": [ + "research/complex-local-word-ceiling/README.md", + "research/heterogeneous-owner-assembly/README.md", + "certificates/selected-result.json", + "research/selected-k8-unrestricted-ends/README.md" + ], + "methods": [ + "Propose a changed helper inventory and derive an optimistic exact moment.", + "Design a small completed instance and independently verify its endpoint and rank bill." + ], + "acceptance_gate": "A new physically realizable contract outside the frozen catalogue whose per-call profile, screened with ceiling.ceiling(), beats the selected word's packing ceiling; a lower cap does not establish identical circuitry or order attainable optima, and is insufficient to pass the stronger-budget target under this model.", + "first_step": { + "command": [ + "python3", + "-B", + "research/complex-local-word-ceiling/verify.py" + ], + "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING", + "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.", + "scope": "Positive control and planning budget only; this is not a new construction or full cold replay." + }, + "first_experiment": "Before any synthesis, write the candidate per-call local profile (and centre charge / unpaid coordinates if changed) and screen it with ceiling.ceiling(); reject it if even the ideal ceiling does not beat the selected word's by your stated margin.", + "bottleneck_link": "Packing of the selected word is capped at +0.87% (ceiling model); only a lower local excess spend or a changed coverage law raises the cap.", + "allowed_variations": [ + "Narrow to one changed boundary or helper type with explicit counts.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Mixing only providers already inside the pinned catalogue.", + "Only changing helper terminal subspaces and monotone frames within the fixed scalar word, entrances and cleanup contract already covered by #1995/#2013." + ], + "overlap_terms": [ + "helper inventory", + "heterogeneous-owner", + "mutable leaver" + ] + }, + "scope_status": "changed", + "actual_scope": "Complete exact finite selective44 borrowing supplier, physical T8 owner charts and conditional kappa=0.0016805 assembly.", + "scope_change_reason": "User-directed four-agent campaign extends the public dirty-reference architecture with a selective44 native word and actual global ownership and paid moment; no random task draw is claimed.", + "bottleneck_link": "Changes paid local profile and residual distribution rather than refining digits of the prior supplier.", + "budget_minutes": 60, + "stop_rule": "Freeze only after native both-direction replay, physical factor partition, finite exact precision/work invoice, two independent rational moments and all47 strict outer inequalities pass.", + "outcome": "completed", + "evidence": "verify.py, PROOF.md, PROOF-LOCAL.md, PROOF-OWNERS.md and independent/PROOF.md", + "author": "Dugongue", + "ai_assistance": "Substantial OpenAI Codex assistance by one primary agent and three proof/review agents. No independent human review or full Lean multiplication formalization is claimed.", + "open_questions": [ + { + "question": "Can the selective44 packing or local word be improved further?", + "why_it_matters": "The new verified physical profile raises the available complex saving.", + "first_step": "Change local/inputs/WITNESS.json or the owner table in a separate experiment, then replay the complete native and physical certificate and exact moment.", + "blocked_by": "No optimality claim is made for the bounded search used to find this witness." + } + ] +} diff --git a/research/selective-borrowing-kappa/VERIFY.json b/research/selective-borrowing-kappa/VERIFY.json new file mode 100644 index 0000000000..565eb9076f --- /dev/null +++ b/research/selective-borrowing-kappa/VERIFY.json @@ -0,0 +1,72 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "research/selective-borrowing-kappa/FRONTIER.json", + "research/selective-borrowing-kappa/SOURCES.json", + "research/selective-borrowing-kappa/TASK.json", + "research/selective-borrowing-kappa/arithmetic/EXPECTED.json", + "research/selective-borrowing-kappa/arithmetic/SOURCES.json", + "research/selective-borrowing-kappa/arithmetic/vendor/BIT-EXPECTED.json", + "research/selective-borrowing-kappa/arithmetic/vendor/base_two_moment.py", + "research/selective-borrowing-kappa/arithmetic/vendor/moment.py", + "research/selective-borrowing-kappa/arithmetic/vendor/outer.py", + "research/selective-borrowing-kappa/arithmetic/verify.py", + "research/selective-borrowing-kappa/independent/EXPECTED.json", + "research/selective-borrowing-kappa/independent/SOURCES.json", + "research/selective-borrowing-kappa/independent/audit.py", + "research/selective-borrowing-kappa/independent/inputs/T8-PARENT.json.gz", + "research/selective-borrowing-kappa/independent/verify.py", + "research/selective-borrowing-kappa/lean/CHECKS.json", + "research/selective-borrowing-kappa/lean/Factors.lean", + "research/selective-borrowing-kappa/lean/Feedback.lean", + "research/selective-borrowing-kappa/local/SOURCE-PINS.json", + "research/selective-borrowing-kappa/local/check_trace.py", + "research/selective-borrowing-kappa/local/data/backward.json", + "research/selective-borrowing-kappa/local/data/expected-local.json", + "research/selective-borrowing-kappa/local/data/finite-invoice.json", + "research/selective-borrowing-kappa/local/data/forward.json", + "research/selective-borrowing-kappa/local/data/native-backward.json.gz", + "research/selective-borrowing-kappa/local/data/native-forward.json.gz", + "research/selective-borrowing-kappa/local/data/postludes.json", + "research/selective-borrowing-kappa/local/data/precision-backward.json", + "research/selective-borrowing-kappa/local/data/precision-forward.json", + "research/selective-borrowing-kappa/local/data/wrappers-backward.json", + "research/selective-borrowing-kappa/local/data/wrappers-forward.json", + "research/selective-borrowing-kappa/local/inputs/WITNESS.json", + "research/selective-borrowing-kappa/local/inputs/selected-block-certificate.json", + "research/selective-borrowing-kappa/local/inputs/selected-complex-word.json.gz", + "research/selective-borrowing-kappa/local/invoice.py", + "research/selective-borrowing-kappa/local/native.py", + "research/selective-borrowing-kappa/local/precision.py", + "research/selective-borrowing-kappa/local/rebuild.py", + "research/selective-borrowing-kappa/local/vendor/PR2226-replay.py", + "research/selective-borrowing-kappa/local/vendor/clifford_exact.py", + "research/selective-borrowing-kappa/local/vendor/native_verify.py", + "research/selective-borrowing-kappa/local/verify.py", + "research/selective-borrowing-kappa/owners/CHARTS.json.gz", + "research/selective-borrowing-kappa/owners/EXPECTED.json", + "research/selective-borrowing-kappa/owners/OWNERS.json.gz", + "research/selective-borrowing-kappa/owners/SOURCES.json", + "research/selective-borrowing-kappa/owners/inputs/DATA-PHASES.json", + "research/selective-borrowing-kappa/owners/inputs/HOSTED-PARENT.json.gz", + "research/selective-borrowing-kappa/owners/inputs/PLAN.json", + "research/selective-borrowing-kappa/owners/verify.py", + "research/selective-borrowing-kappa/verify.py" + ], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 600, + "checks": "Complete native forward/backward,660 public columns and76 owned-zero fields;5992 exact native jobs;436 helper+224data adapters each orientation;31392 whole owners/7150 charts;387072 physical tagged factors; exact fine-grid work/stock invoice; two independent rational moment engines; all47 strict outer rows and mutation controls. Optional Lean leaves are audited separately." + } + ] +} diff --git a/research/selective-borrowing-kappa/arithmetic/EXPECTED.json b/research/selective-borrowing-kappa/arithmetic/EXPECTED.json new file mode 100644 index 0000000000..e904b40702 --- /dev/null +++ b/research/selective-borrowing-kappa/arithmetic/EXPECTED.json @@ -0,0 +1,207 @@ +{ + "status": "PASS_RECOUNT_TWO_EXACT_MOMENTS_AND_47_STRICT_OUTER", + "kappa": "3361/2000000", + "kappa_decimal": "0.0016805", + "certified_complex_saving": "8417/5000000", + "inherited_bit_saving": "1733427039589844234749/1000000000000000000000000", + "increase_over_previous_open_claim": "7.450438744554786643290060792974230016885614974197045397E-7", + "relative_increase_percent": "0.04435431916652694469797974807983645870714639493858374105", + "calls": 72, + "helpers_per_call": 436, + "live": 7168, + "profile": { + "1": 176252, + "2": 30096, + "3": 30908, + "4": 10152, + "5": 4493, + "6": 18, + "7": 494, + "8": 576, + "32": 11, + "39": 7, + "48": 2493 + }, + "rank_mass": 520704, + "deficit": 2560, + "moments": [ + { + "side": "complex_native", + "saving": "8417/5000000", + "surcharge": false, + "mercator_residual": [ + "-989592949424470383013612187209242236680862145203726660612151/26959946667150639794667015087019630673637144422540572481103610249216", + "-989592949424470383013612187209242236680862145203726660612149/26959946667150639794667015087019630673637144422540572481103610249216" + ], + "atanh_residual": [ + "-36706042546821518617707/1000000000000000000000000000000", + "-18353021273410759308853/500000000000000000000000000000" + ] + }, + { + "side": "complex_conservative", + "saving": "8417/5000000", + "surcharge": true, + "mercator_residual": [ + "-494683419263783155578228235352247306028542467475600082033033/13479973333575319897333507543509815336818572211270286240551805124608", + "-61835427407972894447278529419030913253567808434450010254129/1684996666696914987166688442938726917102321526408785780068975640576" + ], + "atanh_residual": [ + "-183488278137630891450600862611423161507/5000000000000000000000000000000000000000000000", + "-45872069534407722862648965652855790359/1250000000000000000000000000000000000000000000" + ] + }, + { + "side": "bit_retained", + "saving": "1733427039589844234749/1000000000000000000000000", + "surcharge": true, + "mercator_residual": [ + "-43100600330766044577088869872467188970742291/26959946667150639794667015087019630673637144422540572481103610249216", + "-43100600330766044577088869872467188970742289/26959946667150639794667015087019630673637144422540572481103610249216" + ], + "atanh_residual": [ + "-799345163337715793503/500000000000000000000000000000000000000000000", + "-3197378653350863173989/2000000000000000000000000000000000000000000000" + ] + } + ], + "bootstrap": [ + { + "saving": "420157720272743169380834111/250000000000000000000000000000", + "gap": "692273018756830619165889/250000000000000000000000000000", + "example_constant_bits": 512, + "example_cutoff_log2": "4694914713053", + "universal_cutoff_recipe": "For each sequential fixed C choose integer ell with C < 2^ell; L=max(ceil(36/gap^2),ceil(2*(4+ell)/gap)). These example cutoffs do not bound the actual inherited constants." + }, + { + "saving": "210424413959559400602760508467646048732713/125000000000000000000000000000000000000000000", + "gap": "582686190599397239491532353951267287/125000000000000000000000000000000000000000000", + "example_constant_bits": 512, + "example_cutoff_log2": "1656735108063254700", + "universal_cutoff_recipe": "For each sequential fixed C choose integer ell with C < 2^ell; L=max(ceil(36/gap^2),ceil(2*(4+ell)/gap)). These example cutoffs do not bound the actual inherited constants." + }, + { + "saving": "105212497832428041190387962792089979937107917496253189679/62500000000000000000000000000000000000000000000000000000000", + "gap": "490446958809612037207910020062892082503746810321/62500000000000000000000000000000000000000000000000000000000", + "example_constant_bits": 512, + "example_cutoff_log2": "584626427964352339925393", + "universal_cutoff_recipe": "For each sequential fixed C choose integer ell with C < 2^ell; L=max(ceil(36/gap^2),ceil(2*(4+ell)/gap)). 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"aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098", + "arithmetic/vendor/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c", + "arithmetic/vendor/BIT-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4" + }, + "scope": "Exact finite recount and retained conditional outer arithmetic only. Requires independently source-bound native word, physical owner charts/controller, full work/precision/stock invoice and original all-size/analytic/bit assumptions; not full Lean multiplication proof." +} diff --git a/research/selective-borrowing-kappa/arithmetic/SOURCES.json b/research/selective-borrowing-kappa/arithmetic/SOURCES.json new file mode 100644 index 0000000000..ec41c61c7b --- /dev/null +++ b/research/selective-borrowing-kappa/arithmetic/SOURCES.json @@ -0,0 +1,25 @@ +{ + "upstream_revision": "0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2", + "files": [ + { + "path": "vendor/moment.py", + "sha256": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482", + "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2/research/frame-domain-ceiling/engines/moment.py" + }, + { + "path": "vendor/base_two_moment.py", + "sha256": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098", + "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2/research/frame-domain-ceiling/engines/base_two_moment.py" + }, + { + "path": "vendor/outer.py", + "sha256": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c", + "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2/research/complex-multicold/engines/outer.py" + }, + { + "path": "vendor/BIT-EXPECTED.json", + "sha256": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4", + "source": "https://github.com/CrocSwap/integer-mult-bounds/blob/0fdd7d82de03e43c9e5a1000dfbcd380d1b687d2/research/e8-bit-p111-tuned/tune/EXPECTED.json" + } + ] +} diff --git a/research/selective-borrowing-kappa/arithmetic/vendor/BIT-EXPECTED.json b/research/selective-borrowing-kappa/arithmetic/vendor/BIT-EXPECTED.json new file mode 100644 index 0000000000..e293ddc557 --- /dev/null +++ b/research/selective-borrowing-kappa/arithmetic/vendor/BIT-EXPECTED.json @@ -0,0 +1,222 @@ +{ + "word": { + "file": "tune/bitE8mut-p111-tuned.json.gz", + "file_sha256": "e3e301e62bc2b41dbf1ceac0acf3d35824ebeab1848c5a2142d4577b109da52f", + "content_sha256": "5642fd0e35a1acc11acff8d0c08350c1617e95f310d4d35ad63a651f9eeeba0b", + "v": 111, + "R": 439, + "punctured": [ + 10, + 15, + 51, + 53, + 56, + 66, + 72, + 89, + 111 + ], + "retained_totals": 9, + "copy_ranks": [ + 7, + 7, + 7, + 7, + 7, + 7, + 7, + 7, + 7 + ], + "decoder_constant": 63, + "gates": { + "D": 111, + "A": 2075, + "B": 712, + "C": 2574 + }, + "local_histogram": { + "1": 1323, + "2": 1342, + "3": 79, + "4": 44, + "5": 102, + "6": 11, + "7": 19 + }, + "legality": { + "records": 27234, + "common_frame_ADDs": 24305, + "rank_mass": 5129 + }, + "five_stage_columns": 883, + "five_stage_payload_bits": 93, + "nine_stage_columns": 1327, + "nine_stage_payload_bits": 93, + "eleven_stage_columns": 1549, + "eleven_stage_payload_bits": 93, + "base_content_sha256": "d0df3c89ae84989f4045ba1681a5e2e9fcdfa38ed0301c8abf5185537155cbe3" + }, + "interface": { + "hypotheses": { + "H1_no_target_feeds_z": true, + "H2_D_frame0_targets_from_helpers": true, + "H3_A_z_only_scatter_targets_B_split": true, + "H4_C_literal_reverse_at_full": true, + "H5_V_identity": true + }, + "conclusion": { + "U_block_form": true, + "J_identity": true, + "K_equals_D": true, + "C_is_U_inverse": true + }, + "interleaving": { + "z_gates_A": 2075, + "source_writes_A": 0, + "z_gates_B": 499, + "source_writes_B": 483, + "helper_writes_B": 16, + "sources_rewritten_B": 108, + "B_z_write_frame_dims": { + "4": 388, + "6": 111 + }, + "B_z_operand_kinds": { + "helper<-helper": 3, + "helper<-source": 13, + "source<-helper": 108, + "source<-source": 375 + }, + "B_z_operand_kinds_by_dim": { + "dim4:helper<-source": 13, + "dim4:source<-source": 375, + "dim6:helper<-helper": 3, + "dim6:source<-helper": 108 + }, + "B_z_writes_after_a_target_read_of_the_same_register": 454, + "B_target_reads_of_registers_rewritten_earlier_in_B": 111, + "target_reads_of_targets": 0, + "cleanup_gates": 2574 + } + }, + "nine": { + "pipeline": "PR #510 (PR #463 nine-stage template, 32 replicas, PR #442 hosting, PR #493 outer assembly), parameterised for v <= 120 by code/adapt9p.py", + "bit_lower": "1733427039589844234749/1000000000000000000000000", + "bit_lower_decimal": "0.001733427039589844234749", + "profile": { + "1": 381024, + "2": 400416, + "3": 22752, + "4": 26880, + "5": 29376, + "6": 17376, + "7": 26784, + "42": 288 + }, + "bit": { + "live": 28416, + "physical": 28425, + "maxchild": 42, + "rank_mass": 1808352, + "hosted_residuals": 126432, + "bank_assignments": 0, + "prefix_bits": 177, + "charged_prefix_bits": 192, + "coefficient_bits": 177, + "two_level_coefficient_bits": 393, + "charged_two_level_coefficient_bits": 512, + "row_coefficient": 18355, + "halving_depth": 2 + }, + "kappa": { + "pr548": { + "kappa": "49718254847979/31250000000000000", + "kappa_decimal": "0.001590984155135328", + "complex_lower": "796759709641153381751/500000000000000000000000", + "binding_component": "complex" + }, + "pr544": { + "kappa": "397677800014309/250000000000000000", + "kappa_decimal": "0.001590711200057236", + "complex_lower": "31864911873350496687/20000000000000000000000", + "binding_component": "complex" + }, + "pr535": { + "kappa": "793733736881443/500000000000000000", + "kappa_decimal": "0.001587467473762886", + "complex_lower": "1589991533606044174031/1000000000000000000000000", + "binding_component": "complex" + }, + "pr531": { + "kappa": "1517760977820331/1000000000000000000", + "kappa_decimal": "0.001517760977820331", + "complex_lower": "304013615566499291631/200000000000000000000000", + "binding_component": "complex" + } + } + }, + "eleven": { + "pipeline": "PR #493 (PR #445 geometry, PR #472 emitter, audit and invoice, PR #442 hosting), parameterised by PR #545's code/adapt.py", + "bit_lower": "855475950388791987811/500000000000000000000000", + "bit_lower_decimal": "0.001710951900777583975622", + "profile": { + "1": 116424, + "2": 121648, + "3": 6952, + "4": 7424, + "5": 8976, + "6": 4520, + "7": 8776, + "56": 2600 + }, + "bit": { + "live": 8880, + "physical": 8889, + "maxchild": 56, + "rank_mass": 689304, + "hosted_residuals": 38632, + "prefix_bits": 4304, + "charged_prefix_bits": 4352, + "coefficient_bits": 4304, + "three_level_coefficient_bits": 12966, + "charged_three_level_coefficient_bits": 12992, + "row_coefficient": 19431, + "halving_depth": 3 + }, + "emitted_program_sha256": "793b6f40c9aa4b8db57fec0ac0973e16884dae28707e482ee8f7a2349a5d5a4b", + "kappa": { + "pr548": { + "kappa": "49718254847979/31250000000000000", + "kappa_decimal": "0.001590984155135328", + "complex_lower": "796759709641153381751/500000000000000000000000", + "binding_component": "complex" + }, + "pr544": { + "kappa": "397677800014309/250000000000000000", + "kappa_decimal": "0.001590711200057236", + "complex_lower": "31864911873350496687/20000000000000000000000", + "binding_component": "complex" + }, + "pr535": { + "kappa": "793733736881443/500000000000000000", + "kappa_decimal": "0.001587467473762886", + "complex_lower": "1589991533606044174031/1000000000000000000000000", + "binding_component": "complex" + }, + "pr531": { + "kappa": "1517760977820331/1000000000000000000", + "kappa_decimal": "0.001517760977820331", + "complex_lower": "304013615566499291631/200000000000000000000000", + "binding_component": "complex" + } + } + }, + "base": { + "nine_bit_lower": "1733052823330162099157/1000000000000000000000000", + "nine_bit_lower_decimal": "0.001733052823330162099157", + "eleven_bit_lower": "427652201524503168379/250000000000000000000000", + "eleven_bit_lower_decimal": "0.001710608806098012673516", + "note": "PR #555's EXPECTED.json (untuned word); the tune/ pipeline is the same, with the same frozen hosting selections" + } +} diff --git a/research/selective-borrowing-kappa/arithmetic/vendor/base_two_moment.py b/research/selective-borrowing-kappa/arithmetic/vendor/base_two_moment.py new file mode 100644 index 0000000000..14a90fa0e7 --- /dev/null +++ b/research/selective-borrowing-kappa/arithmetic/vendor/base_two_moment.py @@ -0,0 +1,63 @@ +#!/usr/bin/env python3 +"""Maintainer arithmetic cross-check of the pinned PR39 certificate. + +Uses no producer/checker imports. Counts are inputs, not proved by this script. +80-term rational logarithms and 12-term exponentials independently enclose +the two moments. The accompanying written review addresses their realization. +""" +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[1] +GRID = 10**30 + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def log_unit(x): + require(1 <= x <= 2, "logarithm range") + z = (x-1)/(x+1) + lo = 2*sum((z**(2*j+1)/(2*j+1) for j in range(80)), Q(0)) + return lo, lo+2*z**161/(161*(1-z*z)) + + +def log_bounds(x): + k = 0 + while x > 2: + x /= 2 + k += 1 + lo, hi = log_unit(x) + l2, u2 = log_unit(Q(2)) + lo, hi = lo+k*l2, hi+k*u2 + # Outward rational rounding keeps later certificates compact. + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + + +def exp_bounds(x): + require(0 <= x < 1, "exponential range") + term = total = Q(1) + for j in range(1, 13): + term *= x/j + total += term + tail = term*x/13/(1-x/14) + return total, total+tail + + +def moment(m, W, entries, saving): + lo = hi = Q(0) + for t, count in entries: + t, count = int(t), int(count) + require(0 < t < m and count > 0, "improper child") + l, u = log_bounds(Q(m, t)) + lower = exp_bounds(saving*l)[0] + upper = exp_bounds(saving*u)[1] + lo += Q(t*count, m*W)*lower + hi += Q(t*count, m*W)*upper + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + diff --git a/research/selective-borrowing-kappa/arithmetic/vendor/moment.py b/research/selective-borrowing-kappa/arithmetic/vendor/moment.py new file mode 100644 index 0000000000..7d697cb452 --- /dev/null +++ b/research/selective-borrowing-kappa/arithmetic/vendor/moment.py @@ -0,0 +1,113 @@ +"""Independent prospective ordinary five-stage cost, never supplier admission. + +Consumes a raw one-invocation ledger made from the actual source/internal/target +paths. No packed profile is used as an input. Missing physical/finite/compiler +obligations must remain explicit in the accompanying report. +""" +from collections import Counter +from decimal import Decimal, localcontext, ROUND_FLOOR +from fractions import Fraction as F +from functools import lru_cache +from math import factorial +import hashlib, json, sys +from pathlib import Path + +DYAD = 1 << 224 + +def floor(x): return F(x.numerator*DYAD//x.denominator, DYAD) +def ceil(x): return -floor(-x) + +@lru_cache(None) +def logarithm(x): + """Mercator bounds after binary reduction; ln(2) via two Mercator sums. + + For 1 <= y < 2, log(y) is an alternating series in z=y-1. + We instead reduce to 1 <= y < 3/2, and bound log(3/2) and + log(2) by the same alternating series at z=1/2 and z=1/3, + using log(2)=log(3/2)+log(4/3). All sums are exact rationals. + """ + assert x >= 1 + k = 0 + while x >= 2: x /= 2; k += 1 + j = int(x >= F(3, 2)) + if j: x /= F(3, 2) + def mercator(y): + z=y-1 + assert 0 <= z <= F(1,2) + # An even partial sum is below log; the next term bounds its tail. + t=z; s=F(0) + for n in range(1, 225): + s += (t if n & 1 else -t)/n + t *= z + return s, s+t/225 + a,b=mercator(x); c,d=mercator(F(3,2)); e,f=mercator(F(4,3)) + return floor(a+(k+j)*c+k*e), ceil(b+(k+j)*d+k*f) + +def exponential(l,u): + assert 0 <= l <= u < F(1,10) + def poly(x): + s=t=F(1) + for j in range(1,25): t=t*x/j; s+=t + return s,t + lo,_=poly(l);hi,last=poly(u) + return floor(lo),ceil(hi+last*u/25/(1-u/26)) + +def moment(H,m,W,a,bad=False): + lo=hi=F(0) + for r,n in H.items(): + assert 0 < r < m and n > 0 + l,u=logarithm(F(m,r)); e,f=exponential(a*l,a*u) + p=F(r*n,m*W);lo+=p*e;hi+=p*f + if bad: + # Existing envelope shape, only conditionally portable to the new cover. + l,u=logarithm(F(m));e,f=exponential(a*l,a*u) + p=F(32*m*sum(H.values()),10**16*W) + lo+=p*e;hi+=p*f + return floor(lo),ceil(hi) + +def decimal(x): + with localcontext() as c: + c.prec=70 + return str(Decimal(x.numerator)/Decimal(x.denominator)) + +def certify(H,m,W,bad=False): + with localcontext() as c: + c.prec=70 + terms=[(Decimal(r*n)/Decimal(m*W),(Decimal(m)/Decimal(r)).ln()) for r,n in H.items()] + fallback=Decimal(32*m*sum(H.values()))/Decimal(10**16*W) if bad else Decimal(0) + lm=Decimal(m).ln();lo=Decimal(0);hi=Decimal('.003') + for _ in range(210): + a=(lo+hi)/2 + if sum(p*(a*l).exp() for p,l in terms)+fallback*(a*lm).exp()<1:lo=a + else:hi=a + q=int(((lo+hi)/2*10**24).to_integral_value(rounding=ROUND_FLOOR)) + lo=F(q,10**24);hi=lo+F(1,10**24) + lv=moment(H,m,W,lo,bad);hv=moment(H,m,W,hi,bad) + assert lv[1]<10 for v in slacks.values()),{k:str(v) for k,v in slacks.items() if v<=0} + assert min(margins.values())==minimum + assert margins['balanced_prefix']-minimum==eta and 1-eps-r==eta/2 + assert 1-eps*(1+c)==eta-eps*eta/4 + return dict(parameters=dict(a_bit=a,a_complex=b,tau=tau,sigma=sigma, + eta=eta,beta=beta,q=q,c=c,epsilon=eps,lambda_=lam, + lambda_prime=lp,alpha_squared_power=r,delta=delta, + C0=bridge['semantic']['C0'],C1=1,kappa=kappa), + strict_constraints=slacks,margins=margins,minimum_margin=minimum, + absorption_gap=minimum-kappa, + recurrence=dict(internal=internal,leaf=leaf,reservations=1-c)) diff --git a/research/selective-borrowing-kappa/arithmetic/verify.py b/research/selective-borrowing-kappa/arithmetic/verify.py new file mode 100644 index 0000000000..93448459db --- /dev/null +++ b/research/selective-borrowing-kappa/arithmetic/verify.py @@ -0,0 +1,170 @@ +"""Fresh owner recount, two exact moments and unchanged 47-row outer assembly.""" +from pathlib import Path +from fractions import Fraction as Q +from functools import lru_cache +from collections import Counter, defaultdict +from decimal import Decimal, localcontext +import json, gzip, hashlib, importlib.util, argparse +import sys +sys.dont_write_bytecode = True +root = Path(__file__).resolve().parent +campaign = root.parent +parser = argparse.ArgumentParser(description=__doc__) +parser.add_argument('--out', type=Path, help='Optional external receipt file') +args = parser.parse_args() +if args.out and args.out.resolve().is_relative_to(campaign.resolve()): + raise ValueError('--out must be outside the published package') +for pin in json.loads((root / 'SOURCES.json').read_bytes())['files']: + if hashlib.sha256((root / pin['path']).read_bytes()).hexdigest() != pin['sha256']: + raise ValueError('arithmetic vendor source drift') +base = campaign / 'owners/inputs' +plan = json.loads((base / 'PLAN.json').read_bytes()) +owners_path = campaign / 'owners/OWNERS.json.gz' +audit_path = campaign / 'owners/EXPECTED.json' +trace_path = campaign / 'local/data/forward.json' +trace = json.loads(trace_path.read_bytes()) +rows = json.loads(gzip.decompress(owners_path.read_bytes())) +bycall = defaultdict(list) +bybin = defaultdict(list) +widths = {int(k): v for k, v in trace['helper_widths'].items()} +for r in rows: + if not r['copy'] == 112 * r['owner_replica'] + r['port']: + raise ValueError('exact arithmetic admission failed') + if not r['width'] == widths[r['helper']]: + raise ValueError('exact arithmetic admission failed') + if not plan['order'][r['time']] == [r['stage'], r['replica']]: + raise ValueError('exact arithmetic admission failed') + if not r['time'] in plan['windows'][f"{r['owner_replica']},{r['child']}"][1]: + raise ValueError('exact arithmetic admission failed') + bycall[r['time']].append(r) + bybin[r['owner_replica'], r['child'], r['port']].append(r) +if not (len(bycall) == 72 and len(rows) == 72 * 436): + raise ValueError('exact arithmetic admission failed') +for rr in bycall.values(): + if not {r['helper'] for r in rr} == set(widths): + raise ValueError('exact arithmetic admission failed') + if not len({r['family'] for r in rr}) == len(rr): + raise ValueError('exact arithmetic admission failed') +occupied = Counter() +for k, rr in bybin.items(): + cap = plan['windows'][f'{k[0]},{k[1]}'][0] + used = set() + for r in rr: + axes = set(range(r['offset'], r['offset'] + r['width'])) + if not (axes and min(axes) >= 0 and (max(axes) < cap) and (not used & axes)): + raise ValueError('exact arithmetic admission failed') + used |= axes + occupied[k] = len(used) +H = Counter() +for wc, (cap, times) in plan['windows'].items(): + rep, ch = map(int, wc.split(',')) + for port in range(112): + rem = cap - occupied[rep, ch, port] + if not rem >= 0: + raise ValueError('exact arithmetic admission failed') + if rem: + H[rem] += 1 +for r, n in trace['local_profile'].items(): + H[int(r)] += 72 * n +W = plan['live'] +m = 73 +mass = sum((r * n for r, n in H.items())) +if not (mass == 520704 and m * W - mass == 2560): + raise ValueError('exact arithmetic admission failed') +if not m * m > 2 * max(H) ** 2: + raise ValueError('exact arithmetic admission failed') + +def load(name, path): + sp = importlib.util.spec_from_file_location(name, path) + mod = importlib.util.module_from_spec(sp) + sp.loader.exec_module(mod) + return mod +eng = root / 'vendor' +M = load('exact_mercator', eng / 'moment.py') +B = load('independent_atanh', eng / 'base_two_moment.py') +B.log_bounds = lru_cache(None)(B.log_bounds) +outer_path = eng / 'outer.py' +A = load('retained_outer', outer_path) +_retained_assembly = A.assembly +def checked_assembly(*positional, **keywords): + result = _retained_assembly(*positional, **keywords) + if len(result['strict_constraints']) != 47 or len(result['margins']) != 7: + raise ValueError('retained strict row inventory changed') + if min(result['strict_constraints'].values()) <= 0: + raise AssertionError('nonpositive strict outer row') + if result['minimum_margin'] != min(result['margins'].values()): + raise ValueError('wrong minimum margin') + return result +A.assembly = checked_assembly + +bit_path = eng / 'BIT-EXPECTED.json' +bit = json.loads(bit_path.read_bytes()) +bt = bit['nine'] +BH = {int(r): n for r, n in bt['profile'].items()} +BW = bt['bit']['live'] +c = Q(bt['bit_lower']) +b = Q(16834, 10 ** 7) +k = Q(16805, 10 ** 7) +if not 64 * BW - sum((r * n for r, n in BH.items())) == 32 * (8 * bit['word']['v'] - 9 * sum(bit['word']['copy_ranks'])): + raise ValueError('exact arithmetic admission failed') +moments = [] + +def check(name, h, m, w, z, bad): + x = M.moment(h, m, w, z, bad) + y = B.moment(m, w, list(h.items()), z) + if bad: + v = B.moment(m, w, [(1, 32 * m * m * sum(h.values()))], z) + y = (y[0] + v[0] / 10 ** 16, y[1] + v[1] / 10 ** 16) + if not (x[1] < 1 and y[1] < 1): + raise ValueError((name, x, y)) + moments.append({'side': name, 'saving': str(z), 'surcharge': bad, 'mercator_residual': [str(v - 1) for v in x], 'atanh_residual': [str(v - 1) for v in y]}) +check('complex_native', H, 73, W, b, False) +check('complex_conservative', H, 73, W, b, True) +check('bit_retained', BH, 64, BW, c, True) +eta = beta = Q(1, 10 ** 8) +s = min(c, (1 - beta) * b) - Q(1, 10 ** 11) +chain = [Q(384599, 10 ** 10)] +cuts = [] + +def ceil(q): + return -(-q.numerator // q.denominator) +for _ in range(7): + old = chain[-1] + a = (1 - s) * s + s * old + gap = min(s - a, 1 - a - s, 1 - a - s * (1 - old), 1 - s) + if not (old < a < s < c and s < (1 - beta) * b and (0 < gap)): + raise ValueError('exact arithmetic admission failed') + cutoff = max(ceil(36 / gap ** 2), ceil(2 * (4 + 512) / gap)) + if not (cutoff * gap ** 2 >= 36 and cutoff * gap >= 2 * (4 + 512)): + raise ValueError('exact arithmetic admission failed') + chain.append(a) + cuts.append({'saving': str(a), 'gap': str(gap), 'example_constant_bits':512,'example_cutoff_log2': str(cutoff),'universal_cutoff_recipe':'For each sequential fixed C choose integer ell with C < 2^ell; L=max(ceil(36/gap^2),ceil(2*(4+ell)/gap)). These example cutoffs do not bound the actual inherited constants.'}) +bridge = {'semantic': {'C0': {'base': 2, 'exponent': 210000}, 'strict_literal_gap': 1}, 'rows': {'degree_gap': Q(10 ** 6) - Q(51 * 20161, 25)}} +assembly = A.assembly(chain[-1], b, bridge, k, eta=eta, beta=beta) +if not (len(assembly['strict_constraints']) == 47 and min(assembly['strict_constraints'].values()) > 0): + raise ValueError('exact arithmetic admission failed') +controls = [] +for name, kk, ee, bb in [('zero_eta', k, Q(0), beta), ('zero_beta', k, eta, Q(0)), ('unit_beta', k, eta, Q(1)), ('above_balance', assembly['minimum_margin'] + Q(1, 10 ** 12), eta, beta)]: + try: + A.assembly(chain[-1], b, bridge, kk, eta=ee, beta=bb) + except (AssertionError, ZeroDivisionError): + controls.append(name) + else: + raise ValueError(('control accepted', name)) +if not M.moment(H, 73, W, b + Q(1, 10 ** 5), False)[0] > 1: + raise ValueError('exact arithmetic admission failed') +controls.append('supplier_endpoint_too_large') +previous = Q('0.001679754956125544521335670993920702576998311438502580295460327520162864548260325638826305656132844') +if not k > previous + Q(1, 10 ** 7): + raise ValueError('exact arithmetic admission failed') + +def dec(q): + with localcontext() as cx: + cx.prec = 55 + return str(Decimal(q.numerator) / Decimal(q.denominator)) +source_paths = [owners_path, audit_path, trace_path, base / 'PLAN.json', eng / 'moment.py', eng / 'base_two_moment.py', outer_path, bit_path] +result = {'status': 'PASS_RECOUNT_TWO_EXACT_MOMENTS_AND_47_STRICT_OUTER', 'kappa': str(k), 'kappa_decimal': dec(k), 'certified_complex_saving': str(b), 'inherited_bit_saving': str(c), 'increase_over_previous_open_claim': dec(k - previous), 'relative_increase_percent': dec(100 * (k / previous - 1)), 'calls': 72, 'helpers_per_call': 436, 'live': W, 'profile': dict(sorted(H.items())), 'rank_mass': mass, 'deficit': 2560, 'moments': moments, 'bootstrap': cuts, 'outer_parameters': assembly['parameters'], 'outer_constraints': {n: str(v) for n, v in assembly['strict_constraints'].items()}, 'controls_rejected': controls, 'source_sha256': {p.relative_to(campaign).as_posix(): hashlib.sha256(p.read_bytes()).hexdigest() for p in source_paths}, 'scope': 'Exact finite recount and retained conditional outer arithmetic only. Requires independently source-bound native word, physical owner charts/controller, full work/precision/stock invoice and original all-size/analytic/bit assumptions; not full Lean multiplication proof.'} +if args.out: + args.out.parent.mkdir(parents=True, exist_ok=True) + args.out.write_text(json.dumps(result, indent=2, default=str) + '\n') +print(json.dumps({k: v for k, v in result.items() if k in ['status', 'kappa', 'kappa_decimal', 'certified_complex_saving', 'increase_over_previous_open_claim', 'relative_increase_percent', 'profile', 'controls_rejected']})) diff --git a/research/selective-borrowing-kappa/independent/EXPECTED.json b/research/selective-borrowing-kappa/independent/EXPECTED.json new file mode 100644 index 0000000000..0cb31c95fe --- /dev/null +++ b/research/selective-borrowing-kappa/independent/EXPECTED.json @@ -0,0 +1,69 @@ +{ + "status": "PASS_ACTUAL_T8_FAMILY_OPERATOR_PARTITION", + "owners": 31392, + "calls": 72, + "helper_count": 436, + "distinct_actual_73_column_charts": 7150, + "parent_factor_count": 387072, + "hosted_factor_count": 254088, + "remainder_factor_count": 132984, + "all_original_child_translations_retained": 16128, + "idle_profile": { + "1": 1724, + "3": 20, + "5": 1469, + "6": 18, + "7": 494, + "32": 11, + "39": 7, + "48": 2493 + }, + "complete_profile": { + "1": 176252, + "2": 30096, + "3": 30908, + "4": 10152, + "5": 4493, + "6": 18, + "7": 494, + "8": 576, + "32": 11, + "39": 7, + "48": 2493 + }, + "rank_mass": 520704, + "native_ABI_rechecks": [ + { + "orientation": "forward", + "helpers": 436, + "unique_literal_operator_checks": 26, + "trace_sha256": "a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee", + "native_payload_sha256": "c8c8152fdab3080402a9b1d6e89ba831045bfc575bb1ef2a18a7157957fd62b4", + "wrapper_sha256": "e8a95fb4005f8cbaaf81055678a14c4b0bf648fb72eb0593ac7439d9a59dc6ce" + }, + { + "orientation": "backward", + "helpers": 436, + "unique_literal_operator_checks": 26, + "trace_sha256": "fc965c4a041f26960268b78ba526b9cca13cd01d713a843f31fe4a82c4e08334", + "native_payload_sha256": "e5214a0780f58f407a6163eef8e99ccacfd77741e1897a3725941616e5ba6c05", + "wrapper_sha256": "75e530e70dafe699b4316fda6cda249197553d2cdf317bff24c7f5f992a896bd" + } + ], + "mutations_rejected": [ + "negative_child_direction", + "cross_family_axis_swap_with_same_global_axis_counts", + "wrong_global_scalar_phase" + ], + "source_sha256": { + "parent": "025448abdf2012d327e50a009084e1501690d05e650300d2982836aa0350ae00", + "phases": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "plan": "7b3122026e82b9d9e964d2a50c7bffdc976ae3dfea64bb98b2fdad5cfbdbaa20", + "owners": "892b49f97d4caa7e92918262ea3a8cfa8cbf273c92d574ae53bb89a61ee5e847", + "forward_trace": "a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee", + "backward_trace": "fc965c4a041f26960268b78ba526b9cca13cd01d713a843f31fe4a82c4e08334", + "native_engine": "3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38" + }, + "actual_factors_sha256": "81289c868dc9672572154e3cdebddc43241491f16f06353512e7c4b9a18f4881", + "scope": "Exact finite family-tagged Gaussian factor/actual chronology/chart/ABI composition. Shares public local signed-Pauli and exact-Gaussian checker with native audits. No all-size compiler, precision/tape, stock/invoice or analytic transfer is established here." +} diff --git a/research/selective-borrowing-kappa/independent/PROOF.md b/research/selective-borrowing-kappa/independent/PROOF.md new file mode 100644 index 0000000000..1e959be0f9 --- /dev/null +++ b/research/selective-borrowing-kappa/independent/PROOF.md @@ -0,0 +1,11 @@ +# Exact operator partition on physical families + +Run `python -I -O -B independent/verify.py` from the contribution directory. Only Python's standard library is required. The source package is read-only; generated charts and receipts go to a temporary directory. To retain them, pass `--work` with a nonexistent directory outside the source package. `SOURCES.json` pins every consumed source and native checker. `EXPECTED.json` freezes the complete deterministic receipt. The literal input parent is the T8, 72-call parent retained by the public PR1005 owner-repair lineage, not the incompatible T74 parent. + +Write `X_v f(x)=f(x+v)` and `C_v=((1+i)I+(1-i)X_v)/2`. The algebraic identities in `../lean/Factors.lean` prove that these full Gaussian operators commute on an additive commutative address space, including their scalar phases. They also prove that a permutation of instructions preserving both physical family and axis preserves the family-wise operator, and that address translations commute with these products. Thus a literal factor partition within one untouched family interval is a sufficient equality certificate. A global bag of axes that forgets the physical family is insufficient. + +This checker reconstructs the actual parent chronology, including both bridge reads and bridge writes. Each replica preserves the parent's source event sequence. Every complete helper invocation lies inside its donor child's untouched interval. Every helper is assigned to a distinct physical family outside that invocation's 224 source and target data families. The 73-column orthogonal charts are derived from the parent's actual port normals. Their first `w` columns are the literal assigned pending axes, with the remaining local axes treated as identity spectators. Both orientations' literal `R^-1` and `L^-1` wrappers are rechecked against their actual native payloads, including exact global phase: `L^-1 (T_F T_E^-1) R^-1 = C_w tensor I_(9-w)`. Data chart normals and source/target directions are checked against the source parent. + +The audit partitions all 387,072 positive parent idle-child factors into 254,088 hosted factors and 132,984 literal remaining factors, retaining every physical family, source child, axis, and positive direction. All 16,128 original positive-idle-child record translations are explicitly retained, even when the remaining Gaussian rank is zero. The rebuilt paid profile has rank mass 520,704. Mutation controls reject a negative child direction, a cross-family axis swap that preserves the untagged global axis bag, and a wrong scalar phase. These controls specifically address the family-operator failure of the withdrawn cross-family axis-swap proposals. + +The factor partition and chronology implementation imports no hosting constructor or owner emitter. Its native Gaussian interpreter is the same retained public signed-Pauli/exact-Gaussian engine used by the local native audit; this is an independent assembly audit, not a third independent native implementation. This finite certificate establishes the stated operator partition. It does not establish an all-size compiler, precision or tape complexity, the physical invoice, or the analytic transfer to multiplication; those are separate parts of the package and the project's inherited hypotheses. diff --git a/research/selective-borrowing-kappa/independent/SOURCES.json b/research/selective-borrowing-kappa/independent/SOURCES.json new file mode 100644 index 0000000000..392efef274 --- /dev/null +++ b/research/selective-borrowing-kappa/independent/SOURCES.json @@ -0,0 +1,18 @@ +{ + "independent/inputs/T8-PARENT.json.gz": "025448abdf2012d327e50a009084e1501690d05e650300d2982836aa0350ae00", + "independent/audit.py": "65ac584ba450d5fad1dfef818bad2e098dba5c974bc9cc8216efa192ceb3c82b", + "independent/verify.py": "a39182cbefc8ee6ac38f8147e437d3f93407328bc9ab2424b2a694dc8eed12d2", + "independent/EXPECTED.json": "70c921be4d0292c22c045090382d7f08fc84e851dce9969bdc16573c6bc8b1f3", + "lean/Factors.lean": "5073b72b68037e401be2f48f104f122ddd5193bc8f349cb7d4a10c906ddc5cf5", + "owners/OWNERS.json.gz": "892b49f97d4caa7e92918262ea3a8cfa8cbf273c92d574ae53bb89a61ee5e847", + "owners/inputs/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "owners/inputs/PLAN.json": "7b3122026e82b9d9e964d2a50c7bffdc976ae3dfea64bb98b2fdad5cfbdbaa20", + "local/data/forward.json": "a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee", + "local/data/backward.json": "fc965c4a041f26960268b78ba526b9cca13cd01d713a843f31fe4a82c4e08334", + "local/data/native-forward.json.gz": "5ee6191bde203a43c429de681cd405f45932b6727f01623673b223072bfb0e15", + "local/data/native-backward.json.gz": "ba58e5e557996a15470259e5b01a7db164151b878fdac76900d57fe94d4626f4", + "local/data/wrappers-forward.json": "e8a95fb4005f8cbaaf81055678a14c4b0bf648fb72eb0593ac7439d9a59dc6ce", + "local/data/wrappers-backward.json": "75e530e70dafe699b4316fda6cda249197553d2cdf317bff24c7f5f992a896bd", + "local/vendor/native_verify.py": "3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38", + "local/vendor/clifford_exact.py": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962" +} diff --git a/research/selective-borrowing-kappa/independent/audit.py b/research/selective-borrowing-kappa/independent/audit.py new file mode 100644 index 0000000000..502dafdf43 --- /dev/null +++ b/research/selective-borrowing-kappa/independent/audit.py @@ -0,0 +1,208 @@ +"""Independent T8 family-tag and Gaussian-factor audit of literal owners. + +No optimizer/emitter/hosting constructor is imported. Window boundaries come +from the pinned parent program including bridge reads and writes. Local ABI +normalization is rechecked using the separately implemented public signed- +Pauli/exact-Gaussian interpreter; this local engine is shared with the native +audit and is explicitly not a third independent native implementation. + +For C_v=((1+i)I+(1-i)X_v)/2, all shifts X_v commute on one physical family. +The literal factor multiset, including physical family and positive direction, +therefore suffices for the pending-child operator equality. Untagged global +axis counts do not suffice and are rejected by a cross-family mutation. +""" +import argparse,collections,gzip,hashlib,importlib.util,json,sys,time +from pathlib import Path +sys.dont_write_bytecode=True + +def need(ok,message): + if not ok:raise ValueError(message) +def sha(path):return hashlib.sha256(Path(path).read_bytes()).hexdigest() +def read(path): + p=Path(path);data=p.read_bytes() + return json.loads(gzip.decompress(data) if p.suffix=='.gz' else data) +def packed(value):return json.dumps(value,sort_keys=True,separators=(',',':')).encode() +def tuples(value):return tuple(map(tuples,value)) if isinstance(value,list) else value +def load(name,path): + spec=importlib.util.spec_from_file_location(name,path);module=importlib.util.module_from_spec(spec) + sys.modules[name]=module;spec.loader.exec_module(module);return module + +def orthogonal_basis(q): + z=next(i for i in range(9) if not(q>>i&1));u=q^(1<>i&1 else 0) for i in indices]+[1<=112) + need((adapter['role'],adapter['position'])==(('source','entry') if source else ('target','exit')),'actual data adapter direction and endpoint') + need(adapter['recipe']['rank']==0,'all actual data chart adapters are monomial') + ranks={(x['child'],x['port']):x['rank'] for x in parent['idle_children']} + need(len(ranks)==len(parent['idle_children'])==2016,'all actual positive-rank parent children') + for (child,port),rank in ranks.items(): + record=phases['recipes'][port]['idle_children'][child];axes=record['orthogonal_axes'] + need(rank==record['rank']==len(axes),'actual parent rank/axes equality') + need(len(set(axes))==rank and all(v in bases[port] for v in axes),'literal pending axes in actual orthogonal chart') + used=collections.defaultdict(set);by_call=collections.defaultdict(dict);hosted_factors=collections.Counter();charts={};roles=[] + for row in owners: + time_index=row['time'];stage,replica=order[time_index];helper=row['helper'];width=widths[helper] + need((row['stage'],row['replica'],row['width'])==(stage,replica,width),'actual role identity and width') + need(helper not in by_call[time_index],'one actual helper role per invocation') + owner_replica,child,port=row['owner_replica'],row['child'],row['port'];pair,side,event=tags[child] + need(0<=owner_replica<8 and 0<=port<112,'actual owner bounds') + physical=owner_replica*896+(2*pair+side)*112+port + need(row['family']==physical,'actual parent physical family tag') + need(row['copy']==owner_replica*112+port,'canonical old copy ABI metadata') + lower,upper=windows[owner_replica,child] + need(lower a * f x + b * f (x + v) + +theorem weightedShift_commute [AddCommMonoid G] [CommSemiring R] + (a b c d : R) (v w : G) (f : G → R) : + weightedShift a b v (weightedShift c d w f) = + weightedShift c d w (weightedShift a b v f) := by + funext x + simp only [weightedShift] + rw [show (x + v) + w = (x + w) + v by ac_rfl] + ring + +/-- The full positive native Gaussian operator, including its scalar phase. -/ +def gaussianStep [AddCommMonoid G] (v : G) (f : G → ℂ) : G → ℂ := + weightedShift ((1 + Complex.I) / 2) ((1 - Complex.I) / 2) v f + +theorem gaussianStep_commute [AddCommMonoid G] + (v w : G) (f : G → ℂ) : + gaussianStep v (gaussianStep w f) = gaussianStep w (gaussianStep v f) := + weightedShift_commute _ _ _ _ _ _ _ + +def gaussianWord [AddCommMonoid G] (word : List G) (f : G → ℂ) : G → ℂ := + word.foldr gaussianStep f + +theorem gaussianWord_append [AddCommMonoid G] + (xs ys : List G) (f : G → ℂ) : + gaussianWord (xs ++ ys) f = gaussianWord xs (gaussianWord ys f) := by + simp [gaussianWord, List.foldr_append] + +theorem gaussianWord_perm [AddCommMonoid G] + {xs ys : List G} (h : xs.Perm ys) (f : G → ℂ) : + gaussianWord xs f = gaussianWord ys f := by + induction h with + | nil => rfl + | cons a h ih => + change gaussianStep a (gaussianWord _ f) = gaussianStep a (gaussianWord _ f) + rw [ih] + | swap a b l => + change gaussianStep _ (gaussianStep _ _) = gaussianStep _ (gaussianStep _ _) + apply gaussianStep_commute + | trans h₁ h₂ ih₁ ih₂ => exact ih₁.trans ih₂ + +/-- Every factor acts on its named physical family and leaves all others fixed. -/ +def familyStep [DecidableEq K] [AddCommMonoid G] + (instruction : K × G) (f : K → G → ℂ) : K → G → ℂ := + fun k => if k = instruction.1 then gaussianStep instruction.2 (f k) else f k + +theorem familyStep_commute [DecidableEq K] [AddCommMonoid G] + (a b : K × G) (f : K → G → ℂ) : + familyStep a (familyStep b f) = familyStep b (familyStep a f) := by + funext k + by_cases ha : k = a.1 + · by_cases hb : k = b.1 + · have hab : a.1 = b.1 := ha.symm.trans hb + simpa [familyStep, ha, hab] using gaussianStep_commute a.2 b.2 (f k) + · have hab : a.1 ≠ b.1 := fun h => hb (ha.trans h) + simp [familyStep, ha, hab] + · by_cases hb : k = b.1 + · have hba : b.1 ≠ a.1 := fun h => ha (hb.trans h) + simp [familyStep, hb, hba] + · simp [familyStep, ha, hb] + +def familyWord [DecidableEq K] [AddCommMonoid G] + (word : List (K × G)) (f : K → G → ℂ) : K → G → ℂ := + word.foldr familyStep f + +/-- A permutation certificate must retain the family as well as the axis. -/ +theorem familyWord_perm [DecidableEq K] [AddCommMonoid G] + {xs ys : List (K × G)} (h : xs.Perm ys) (f : K → G → ℂ) : + familyWord xs f = familyWord ys f := by + induction h with + | nil => rfl + | cons a h ih => + change familyStep a (familyWord _ f) = familyStep a (familyWord _ f) + rw [ih] + | swap a b l => + change familyStep _ (familyStep _ _) = familyStep _ (familyStep _ _) + apply familyStep_commute + | trans h₁ h₂ ih₁ ih₂ => exact ih₁.trans ih₂ + +def addressShift [AddCommMonoid G] (q : G) (f : G → ℂ) : G → ℂ := + fun x => f (x + q) + +theorem gaussianStep_addressShift [AddCommMonoid G] + (v q : G) (f : G → ℂ) : + gaussianStep v (addressShift q f) = addressShift q (gaussianStep v f) := by + funext x + simp only [gaussianStep, weightedShift, addressShift] + rw [show (x + v) + q = (x + q) + v by ac_rfl] + +theorem gaussianWord_addressShift [AddCommMonoid G] + (word : List G) (q : G) (f : G → ℂ) : + gaussianWord word (addressShift q f) = addressShift q (gaussianWord word f) := by + induction word with + | nil => rfl + | cons v vs ih => + change gaussianStep v (gaussianWord vs (addressShift q f)) = + addressShift q (gaussianStep v (gaussianWord vs f)) + rw [ih, gaussianStep_addressShift] + +end + +end SelectiveBorrowing diff --git a/research/selective-borrowing-kappa/lean/Feedback.lean b/research/selective-borrowing-kappa/lean/Feedback.lean new file mode 100644 index 0000000000..59d0ebae71 --- /dev/null +++ b/research/selective-borrowing-kappa/lean/Feedback.lean @@ -0,0 +1,39 @@ +import Mathlib.Tactic.Linarith +import Mathlib.Data.Real.Basic + +/-! Sufficient all-cut feedback bounds for the selective-borrowing invoice. +These lemmas do not assert that a particular implementation meets the defect +contract; the independently recounted instruction envelope supplies that data. +-/ + +namespace IntegerMultBounds.SelectiveBorrowing + +theorem absorb_feedback (error coefficient budget : ℝ) + (herror : 0 ≤ error) (hsmall : coefficient ≤ 1 / 2) + (hfeedback : error ≤ coefficient * (budget + error)) : + error ≤ 2 * coefficient * budget := by + have h := mul_nonneg (sub_nonneg.mpr hsmall) herror + nlinarith + +theorem relative_error_of_feedback (error amplification defect unit initial target : ℝ) + (herror : 0 ≤ error) (hinitial : 0 ≤ initial) + (hsmall : defect * unit ≤ 1 / 2) + (hbudget : 2 * defect * unit * amplification ≤ target) + (hfeedback : error ≤ defect * unit * (amplification * initial + error)) : + error ≤ target * initial := by + calc + error ≤ 2 * (defect * unit) * (amplification * initial) := + absorb_feedback error (defect * unit) (amplification * initial) herror hsmall hfeedback + _ = (2 * defect * unit * amplification) * initial := by simp only [mul_assoc] + _ ≤ target * initial := mul_le_mul_of_nonneg_right hbudget hinitial + +theorem owner_stock_reserve (oldHelpers newHelpers cleanup : ℕ) + (hreserve : newHelpers ≤ oldHelpers) : + newHelpers + cleanup ≤ oldHelpers + cleanup := + Nat.add_le_add_right hreserve cleanup + +end IntegerMultBounds.SelectiveBorrowing + +#print axioms IntegerMultBounds.SelectiveBorrowing.absorb_feedback +#print axioms IntegerMultBounds.SelectiveBorrowing.relative_error_of_feedback +#print axioms IntegerMultBounds.SelectiveBorrowing.owner_stock_reserve diff --git a/research/selective-borrowing-kappa/lean/README.md b/research/selective-borrowing-kappa/lean/README.md new file mode 100644 index 0000000000..3fd9b9007f --- /dev/null +++ b/research/selective-borrowing-kappa/lean/README.md @@ -0,0 +1,17 @@ +# Optional Mathlib-only universal lemmas + +Checked with Lean 4.33.0 and Mathlibv 4.33.0 in fresh kernel subprocesses, +followed by independent axiom inspection. Every theorem uses at most +propext, Classical.choice and Quot.sound. CHECKS.json binds the exact sources. + +In a compatible Mathlib checkout, run `lake env lean /path/to/Factors.lean` +and `lake env lean /path/to/Feedback.lean`. Factors proves weighted Gaussian +shifts commute and words preserve their action under permutations that retain +physical family tags; address translations commute too. Feedback proves a +sufficient contraction inequality and a reserve monotonicity inequality. + +These eleven universal lemmas are useful sufficient algebraic facts. They do +not certify a particular owner table, reflect the Python computations, prove +the retained all-size compiler, or establish the multiplication bound in Lean. +No file imports a personal Mathproof module. To reproduce the full axiom +inspection, append `#print axioms` for each qualified theorem in CHECKS.json. diff --git a/research/selective-borrowing-kappa/local/SOURCE-PINS.json b/research/selective-borrowing-kappa/local/SOURCE-PINS.json new file mode 100644 index 0000000000..452c13187e --- /dev/null +++ b/research/selective-borrowing-kappa/local/SOURCE-PINS.json @@ -0,0 +1,119 @@ +{ + "status": "FROZEN_PORTABLE_SOURCES_AND_NATIVE_PROGRAMS", + "files": [ + { + "path": "check_trace.py", + "sha256": "895a02ef318031cb55b71a36f234a2e9808029363fad2c1a8aa9fc3069fb33d6" + }, + { + "path": "data/backward.json", + "sha256": "fc965c4a041f26960268b78ba526b9cca13cd01d713a843f31fe4a82c4e08334" + }, + { + "path": "data/expected-local.json", + "sha256": "90f33cff012d98cc467dba95c49fa195931cb43539e78b78d0a0647014bfeb9e" + }, + { + "path": "data/finite-invoice.json", + "sha256": "6c7d14c364bd5d98395826ea7bc208fe1ebf2e46c62621bd9f393c4c9b0eaf1e" + }, + { + "path": "data/forward.json", + "sha256": "a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee" + }, + { + "path": "data/native-backward.json.gz", + "sha256": "ba58e5e557996a15470259e5b01a7db164151b878fdac76900d57fe94d4626f4" + }, + { + "path": "data/native-forward.json.gz", + "sha256": "5ee6191bde203a43c429de681cd405f45932b6727f01623673b223072bfb0e15" + }, + { + "path": "data/postludes.json", + "sha256": "e14aed87c976b66c17735c6c198a33024c590e7f183ddcea8725aa6514974235" + }, + { + "path": "data/precision-backward.json", + "sha256": "2f4e19271eb138ede7eeaa52405aae45b8199baccf426412778387c0f9b315d2" + }, + { + "path": "data/precision-forward.json", + "sha256": "18389823deff301e03168aea0e68b6c6635e8c3c8062873ae3c82a34e2e273af" + }, + { + "path": "data/wrappers-backward.json", + "sha256": "75e530e70dafe699b4316fda6cda249197553d2cdf317bff24c7f5f992a896bd" + }, + { + "path": "data/wrappers-forward.json", + "sha256": "e8a95fb4005f8cbaaf81055678a14c4b0bf648fb72eb0593ac7439d9a59dc6ce" + }, + { + "path": "inputs/selected-block-certificate.json", + "sha256": "d3ada9ac84a74f72ce9364dd47ee2ab9f02d1a6513df135e81dad11d0e6c6958" + }, + { + "path": "inputs/selected-complex-word.json.gz", + "sha256": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + }, + { + "path": "inputs/WITNESS.json", + "sha256": "0a696e6243ba611eec064d0a3bb28fa94ca263d97eec22830f83fabf2e96616b" + }, + { + "path": "invoice.py", + "sha256": "9f34aca05f3cabb95cfb58565246b690ca7093e786f5e14ce3b0d660e62186c8" + }, + { + "path": "native.py", + "sha256": "7d70f7396d1056af1fc8cd04f0bd00ea4c68c3e05b40fd6896130bfa10e2e43a" + }, + { + "path": "precision.py", + "sha256": "4cb9fb27f73f21cf4334f61edee0b64e5a243d05089fa422ae5b714b5e7abffc" + }, + { + "path": "rebuild.py", + "sha256": "3861a38c7216d8df8f974af864e029af352d15924b473f42330d74139886d9ac" + }, + { + "path": "vendor/clifford_exact.py", + "sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962" + }, + { + "path": "vendor/FRAME-SA504-NOTICE.md", + "sha256": "a92f49c5ced455160fbedcc8954e3c9255e3605e88ad12ae5a84f1c4302986f1" + }, + { + "path": "vendor/native_verify.py", + "sha256": "3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38" + }, + { + "path": "vendor/PR1862-NOTICE.md", + "sha256": "d86f31a4c0bafd4271fe0c0e087a7fc1cd72d5b705e3739c4ba3e9241b7ba3f9" + }, + { + "path": "vendor/PR1972-NOTICE.md", + "sha256": "2d9c60fdeda14a8609f2b210fe0873ee0318788130637db9e5e79d487243ab7d" + }, + { + "path": "vendor/PR1991-README.md", + "sha256": "ef874f86415c98b553bda9199d5f8f2f7a4dd4f6a23e53712c3c1f7268ec5b23" + }, + { + "path": "vendor/PR2226-NOTICE.md", + "sha256": "f1d45d886926915531e3a59968abf0a4c974d7038f869848e71bd3a21b834422" + }, + { + "path": "vendor/PR2226-replay.py", + "sha256": "0f9a47cdaeed0e22938c63251c232d6f23aeee2b62b0b1223cd4473c5428bcf7" + }, + { + "path": "verify.py", + "sha256": "2c8c1ff89cbcfe776344e8aabbaec7902f3a71cd8cac868ddf84ee9211a6bde5" + } + ], + "source_pr2226_head": "dacaf3d81f1936bb55b8454b1244e5d014272754", + "source_pr1991_native_compiler_sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962" +} diff --git a/research/selective-borrowing-kappa/local/check_trace.py b/research/selective-borrowing-kappa/local/check_trace.py new file mode 100644 index 0000000000..e60a46d354 --- /dev/null +++ b/research/selective-borrowing-kappa/local/check_trace.py @@ -0,0 +1,125 @@ +"""Independent exact row replay of the literal complete forward trace.""" +import argparse +import hashlib +import json +from collections import Counter +from fractions import Fraction +from pathlib import Path + +HERE = Path(__file__).resolve().parent + +def need(condition, message): + if not condition: + raise ValueError(message) + +def span(vectors): + result = {0} + for v in vectors: + result.update(x ^ v for x in list(result)) + return frozenset(result) + +def run(data): + active = data['active_registers'] + values = {r: {(r, ()): Fraction(1)} for r in active} + frames = {r: span(data['endpoints'][str(r)]['initial']) for r in active} + private = set() + profile = Counter() + maximum_row_l1 = Fraction(1) + maximum_at = None + def add_to(d, s, coefficient): + need(d != s, 'self addition') + need(frames[d] == frames[s], 'literal ADD common chart') + for k, value in list(values[s].items()): + new = values[d].get(k, 0) + coefficient * value + if new: + values[d][k] = new + else: + values[d].pop(k, None) + def warp(r, symbol): + result = {} + for (var, word), coefficient in values[r].items(): + transformed = word[1:] if word and word[0] == -symbol else (symbol,) + word + key = var, transformed + result[key] = result.get(key, 0) + coefficient + values[r] = {k: q for k, q in result.items() if q} + for index, e in enumerate(data['events']): + kind = e[0] + if kind == 'transport': + _, r, old, new, paid = e + need(frames[r] == span(old) and span(old) < span(new) or + r in private and frames[r] == span(old) and span(new) < span(old), + ('nested physical transport', index)) + need(paid == abs(len(new) - len(old)), 'actual positive dimension gap') + frames[r] = span(new) + profile[paid] += 1 + elif kind == 'add': + _, d, s, q, common = e + need(frames[d] == span(common) == frames[s], ('ADD chart', index)) + add_to(d, s, Fraction(q)) + elif kind == 'scale': + _, r, q, common = e + need(frames[r] == span(common), 'SCALE chart') + q = Fraction(q) + need(q != 0, 'invertible SCALE') + values[r] = {k: q * value for k, value in values[r].items()} + elif kind == 'swap': + _, d, s, common = e + need(frames[d] == frames[s] == span(common), 'SWAP chart') + values[d], values[s] = values[s], values[d] + elif kind in ('logical_monomial', 'dual_monomial'): + _, r, symbol, common = e + need(frames[r] == span(common), 'monomial chart') + warp(r, symbol) + elif kind in ('handoff', 'dual_handoff'): + _, r, old, new, symbol = e + need(frames[r] == span(old) and len(old) == len(new), 'handoff chart') + warp(r, symbol) + frames[r] = span(new) + elif kind == 'copy': + _, r, source, common = e + need(r not in values or not values[r], 'owned COPY zero guard') + need(frames[source] == span(common), 'COPY source frame') + values[r] = dict(values[source]) + frames[r] = span(common) + private.add(r) + elif kind == 'clear': + _, r, common = e + need(r in private and frames[r] == span(common), 'owned CLEAR guard') + values[r] = {} + elif kind == 'zero_buffer': + _, r, common, restored_role = e + need(r not in values and restored_role in active, 'fresh zero buffer') + values[r] = {} + frames[r] = span(common) + private.add(r) + elif kind == 'zero_reframe': + _, r, common = e + need(r in private and not values[r], 'only a proved zero array may be reframed freely') + frames[r] = span(common) + else: + raise ValueError(('unknown literal event', e)) + touched = (e[1:3] if kind in ('add', 'swap') else e[1:2]) + for r in touched: + if r not in values: + continue + magnitude = sum(abs(q) for q in values[r].values()) + if magnitude > maximum_row_l1: + maximum_row_l1, maximum_at = magnitude, [index, r] + for r in active: + expected = {(r, ()): Fraction(1)} + if data.get('orientation') == 'backward': + if r < 112: + expected[r + 112, ()] = Fraction(-1) + elif 112 <= r < 224: + expected[r - 112, ()] = Fraction(1) + need(values[r] == expected, ('complete endpoint independent column', r)) + need(frames[r] == span(data['endpoints'][str(r)]['final']), 'endpoint chart') + need(all(not values[r] for r in private), 'every owned private buffer returned zero') + need({str(k): v for k, v in profile.items()} == data['local_profile'], 'literal paid profile') + return dict(status='PASS_COMPLETE_' + data.get('orientation', 'forward').upper() + '_LITERAL_TRACE', independent_input_columns=len(active), + events=len(data['events']), private_fields=len(private), + helper_width_inventory=dict(sorted(Counter(data['helper_widths'].values()).items())), + paid_profile=dict(sorted(profile.items())), + rank_mass=sum(r * count 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b/research/selective-borrowing-kappa/local/data/expected-local.json new file mode 100644 index 0000000000..2afa925b69 --- /dev/null +++ b/research/selective-borrowing-kappa/local/data/expected-local.json @@ -0,0 +1,129 @@ +{ + "status": "PASS_COMPLETE_TWO_ORIENTATION_LOCAL_NATIVE_VARIANT", + "reports": { + "forward": { + "status": "PASS_COMPLETE_FORWARD_LITERAL_TRACE", + "independent_input_columns": 660, + "events": 21065, + "private_fields": 76, + "helper_width_inventory": { + "4": 40, + "5": 4, + "7": 27, + "8": 125, + "9": 240 + }, + "paid_profile": { + "1": 2424, + "2": 418, + "3": 429, + "4": 141, + "5": 42, + "8": 8 + }, + "rank_mass": 5385, + "exact_free_operator_prefix_row_l1": "124", + "prefix_peak_event_and_register": [ + 11751, + 92 + ], + "wrappers": { + "helper_wrappers": 436, + "intrinsic_data_adapters": 224 + }, + "native_jobs": 2996, + "precision": { + "status": "PASS_ALL_CUT_NONCANCELLATION_ENVELOPE", + "instructions_after_horner_and_swap_expansion": 85029, + "ideal_prefix_P": "4775934987978459611/2", + "uniform_completed_instruction_defect_K": "19304968969869700845", + "P_binary_upper": 62, + "K_binary_upper": 65, + "local_sufficient_guard_bits": 130, + "ideal_peak": [ + 83598, + 313 + ], + "error_peak": [ + 83598, + 313 + ], + "completed_instruction_defect_contract": "For each completed recursive unitary/COPY step, Hilbert defect <= u times maximum current stream norm. Each real arithmetic primitive has defect <= u times its row norm times that maximum; the envelope charges a factor two when combining the real and imaginary components. All compound ADD coefficients are expanded through an actual owned Horner work row; SCALE and SWAP are expanded to their real primitives. Exact clear/zero allocation writes zero.", + "sufficient_implication": "For every b >= 0 and initial maximum stream norm B >= 0, u <= 2^(-b-guard) gives every-cut error <= B*2^(-b), strictly when B > 0. At B=0 the stated relative-defect contract forces exact zero.", + "proof": "The nonnegative recurrence bounds every ideal state by P*B and every sequence of uniform unit defects by K at every cut. For E the maximum actual error, linear propagation gives E <= K*u*(P*B+E). Since K*u < 1/2, E <= K*u*P*B/(1-K*u). The recorded dyadic guard makes this less than B*2^(-b).", + "scope": "Finite local conditional precision implication only. This is neither a rounded-child implementation nor selected global stock/row or all-size admission." + } + }, + "backward": { + "status": "PASS_COMPLETE_BACKWARD_LITERAL_TRACE", + "independent_input_columns": 660, + "events": 21381, + "private_fields": 76, + "helper_width_inventory": { + "4": 40, + "5": 4, + "7": 27, + "8": 125, + "9": 240 + }, + "paid_profile": { + "1": 2424, + "2": 418, + "3": 429, + "4": 141, + "5": 42, + "8": 8 + }, + "rank_mass": 5385, + "exact_free_operator_prefix_row_l1": "101", + "prefix_peak_event_and_register": [ + 11367, + 45 + ], + "wrappers": { + "helper_wrappers": 436, + "intrinsic_data_adapters": 224 + }, + "native_jobs": 2996, + "precision": { + "status": "PASS_ALL_CUT_NONCANCELLATION_ENVELOPE", + "instructions_after_horner_and_swap_expansion": 85369, + "ideal_prefix_P": "15709105296279064519/2", + "uniform_completed_instruction_defect_K": "105657879540020779682", + "P_binary_upper": 63, + "K_binary_upper": 67, + "local_sufficient_guard_bits": 133, + "ideal_peak": [ + 83075, + 319 + ], + "error_peak": [ + 83075, + 319 + ], + "completed_instruction_defect_contract": "For each completed recursive unitary/COPY step, Hilbert defect <= u times maximum current stream norm. Each real arithmetic primitive has defect <= u times its row norm times that maximum; the envelope charges a factor two when combining the real and imaginary components. All compound ADD coefficients are expanded through an actual owned Horner work row; SCALE and SWAP are expanded to their real primitives. Exact clear/zero allocation writes zero.", + "sufficient_implication": "For every b >= 0 and initial maximum stream norm B >= 0, u <= 2^(-b-guard) gives every-cut error <= B*2^(-b), strictly when B > 0. At B=0 the stated relative-defect contract forces exact zero.", + "proof": "The nonnegative recurrence bounds every ideal state by P*B and every sequence of uniform unit defects by K at every cut. For E the maximum actual error, linear propagation gives E <= K*u*(P*B+E). Since K*u < 1/2, E <= K*u*P*B/(1-K*u). The recorded dyadic guard makes this less than B*2^(-b).", + "scope": "Finite local conditional precision implication only. This is neither a rounded-child implementation nor selected global stock/row or all-size admission." + } + } + }, + "source_hashes": { + "forward_trace": "a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee", + "forward_native_payload": "c8c8152fdab3080402a9b1d6e89ba831045bfc575bb1ef2a18a7157957fd62b4", + "backward_trace": "fc965c4a041f26960268b78ba526b9cca13cd01d713a843f31fe4a82c4e08334", + "backward_native_payload": "e5214a0780f58f407a6163eef8e99ccacfd77741e1897a3725941616e5ba6c05" + }, + "negative_controls": [ + "forward_transport_phase", + "forward_helper_residual_phase", + "wrong_last_target_coefficient", + "missing_actual_reference_change", + "missing_native_occurrence_binding", + "backward_transport_phase", + "backward_helper_residual_phase" + ], + "source_compiler_sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962", + "independent_native_interpreter_sha256": "3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38", + "scope": "Exact finite local words, arbitrary dirty logical restoration, owned-zero scratch and all actual native phase bindings. Whole-call owners, physical finite invoice, rounded child admission, tape and all-size transfer remain separate." +} diff --git a/research/selective-borrowing-kappa/local/data/finite-invoice.json b/research/selective-borrowing-kappa/local/data/finite-invoice.json new file mode 100644 index 0000000000..5f41d75e65 --- /dev/null +++ b/research/selective-borrowing-kappa/local/data/finite-invoice.json @@ -0,0 +1,154 @@ +{ + "status": "PASS_FRESH_CONSERVATIVE_FINITE_INVOICE_UNDER_RETAINED_INTERFACES", + "local": { + "forward": { + "expanded_event_counts": { + "scale": 1092, + "add": 16344, + "transport": 3462, + "copy": 8, + "clear": 8, + "handoff": 44, + "zero_buffer": 75, + "logical_monomial": 44 + }, + "scalar_macros": 17603, + "real_component_primitives": 162954, + "coefficient_work_primitives": 79864, + "extra_exact_private_postlude_clears": 76, + "conservative_macro_envelope": 21153, + "precision": { + "status": "PASS_ALL_CUT_NONCANCELLATION_ENVELOPE", + "instructions_after_horner_and_swap_expansion": 85029, + "ideal_prefix_P": "4775934987978459611/2", + "uniform_completed_instruction_defect_K": "19304968969869700845", + "P_binary_upper": 62, + "K_binary_upper": 65, + "local_sufficient_guard_bits": 130, + "ideal_peak": [ + 83598, + 313 + ], + "error_peak": [ + 83598, + 313 + ], + "completed_instruction_defect_contract": "For each completed recursive unitary/COPY step, Hilbert defect <= u times maximum current stream norm. Each real arithmetic primitive has defect <= u times its row norm times that maximum; the envelope charges a factor two when combining the real and imaginary components. All compound ADD coefficients are expanded through an actual owned Horner work row; SCALE and SWAP are expanded to their real primitives. Exact clear/zero allocation writes zero.", + "sufficient_implication": "For every b >= 0 and initial maximum stream norm B >= 0, u <= 2^(-b-guard) gives every-cut error <= B*2^(-b), strictly when B > 0. At B=0 the stated relative-defect contract forces exact zero.", + "proof": "The nonnegative recurrence bounds every ideal state by P*B and every sequence of uniform unit defects by K at every cut. For E the maximum actual error, linear propagation gives E <= K*u*(P*B+E). Since K*u < 1/2, E <= K*u*P*B/(1-K*u). The recorded dyadic guard makes this less than B*2^(-b).", + "scope": "Finite local conditional precision implication only. This is neither a rounded-child implementation nor selected global stock/row or all-size admission." + } + }, + "backward": { + "expanded_event_counts": { + "zero_buffer": 76, + "scale": 1316, + "add": 16352, + "dual_monomial": 44, + "clear": 91, + "transport": 3462, + "dual_handoff": 44, + "zero_reframe": 8 + }, + "scalar_macros": 17911, + "real_component_primitives": 163618, + "coefficient_work_primitives": 79896, + "extra_exact_private_postlude_clears": 76, + "conservative_macro_envelope": 21469, + "precision": { + "status": "PASS_ALL_CUT_NONCANCELLATION_ENVELOPE", + "instructions_after_horner_and_swap_expansion": 85369, + "ideal_prefix_P": "15709105296279064519/2", + "uniform_completed_instruction_defect_K": "105657879540020779682", + "P_binary_upper": 63, + "K_binary_upper": 67, + "local_sufficient_guard_bits": 133, + "ideal_peak": [ + 83075, + 319 + ], + "error_peak": [ + 83075, + 319 + ], + "completed_instruction_defect_contract": "For each completed recursive unitary/COPY step, Hilbert defect <= u times maximum current stream norm. Each real arithmetic primitive has defect <= u times its row norm times that maximum; the envelope charges a factor two when combining the real and imaginary components. All compound ADD coefficients are expanded through an actual owned Horner work row; SCALE and SWAP are expanded to their real primitives. Exact clear/zero allocation writes zero.", + "sufficient_implication": "For every b >= 0 and initial maximum stream norm B >= 0, u <= 2^(-b-guard) gives every-cut error <= B*2^(-b), strictly when B > 0. At B=0 the stated relative-defect contract forces exact zero.", + "proof": "The nonnegative recurrence bounds every ideal state by P*B and every sequence of uniform unit defects by K at every cut. For E the maximum actual error, linear propagation gives E <= K*u*(P*B+E). Since K*u < 1/2, E <= K*u*P*B/(1-K*u). The recorded dyadic guard makes this less than B*2^(-b).", + "scope": "Finite local conditional precision implication only. This is neither a rounded-child implementation nor selected global stock/row or all-size admission." + } + } + }, + "actual_roles": 31392, + "actual_calls": 72, + "orientation_counts": { + "forward": 40, + "backward": 32 + }, + "helper_count": 436, + "private_cleanup_buffers": 75, + "owned_private_fields": 76, + "physical_stock_identity": { + "live": 7168, + "retained_local_helper_reserve": 492, + "cleanup_buffers": 75, + "private_centres": 8, + "coefficient_work": 2 + }, + "physical_families": 7745, + "n_including_owned_private_and_coefficient_work": 738, + "compiler": 25934336, + "local_adapters": 415504, + "local_primitive_bound": 10775820508962, + "global_precision_guard_coefficient": 244, + "charged_payload_coefficient": 512, + "precision_units": "Payload512 is a per-lambda magnitude coefficient, not a fixed bit count. Exact recursive children return Gaussian dyadics without intermediate rounding. Common denominator/magnitude excess is charged separately by C0*d.", + "exact_magnitude_guard": { + "ideal_local_bits": 63, + "completed_blocks": 144, + "initial_sup_to_hilbert_per_lambda": 37, + "sufficient_inequality": "207 + 37*lambda <= 244*lambda < 512*lambda for integer lambda>=1" + }, + "exact_fine_grid_contract": { + "completed_child": "C_r tensor powers are exact, with Gaussian dyadic denominators 2^(r*f) and coordinate row-sum at most 2^(r*f). 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It is not the inherited exact child contract and is not needed for the exact finite invoice." + }, + "wrapper_elementary_factors": 11363328, + "actual_recounted_real_primitives": 11753936, + "conservative_outside_items": 12247201, + "conservative_pervertex": 3316964448714512, + "finite": { + "group_bits": 2628, + "physical_stock_bits": 2641, + "logical_bits": 2680, + "router_bits": 7985, + "literal_bits": 35282, + "physical_row_coefficient": 16467, + "retained_row_coefficient": 20161, + "required_C0_bits": 200012, + "C0_exponent": 210000 + }, + "strict_checks": { + "local_primitive_bound": true, + "logical": true, + "router": true, + "literal": true, + "mass": true, + "precision": true, + "tape": true, + "row": true, + "global_payload": true + }, + "source_bindings": { + "forward_word_sha256": "a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee", + "backward_word_sha256": "fc965c4a041f26960268b78ba526b9cca13cd01d713a843f31fe4a82c4e08334" + }, + "owner_table_sha256": "892b49f97d4caa7e92918262ea3a8cfa8cbf273c92d574ae53bb89a61ee5e847", + "inherited_conventions": "m=73 cover order, chart compiler64*(m+1)^3, elementary route/family-selection bound, row9909+252, G=2^30000, E=2^100000, C0=2^210000", + "scope": "Fresh source-bound finite upper charges. 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a/research/selective-borrowing-kappa/local/data/precision-backward.json b/research/selective-borrowing-kappa/local/data/precision-backward.json new file mode 100644 index 0000000000..90ffa2e05b --- /dev/null +++ b/research/selective-borrowing-kappa/local/data/precision-backward.json @@ -0,0 +1,22 @@ +{ + "status": "PASS_ALL_CUT_NONCANCELLATION_ENVELOPE", + "instructions_after_horner_and_swap_expansion": 85369, + "ideal_prefix_P": "15709105296279064519/2", + "uniform_completed_instruction_defect_K": "105657879540020779682", + "P_binary_upper": 63, + "K_binary_upper": 67, + "local_sufficient_guard_bits": 133, + "ideal_peak": [ + 83075, + 319 + ], + "error_peak": [ + 83075, + 319 + ], + "completed_instruction_defect_contract": "For each completed recursive unitary/COPY step, Hilbert defect <= u times maximum current stream norm. Each real arithmetic primitive has defect <= u times its row norm times that maximum; the envelope charges a factor two when combining the real and imaginary components. All compound ADD coefficients are expanded through an actual owned Horner work row; SCALE and SWAP are expanded to their real primitives. Exact clear/zero allocation writes zero.", + "sufficient_implication": "For every b >= 0 and initial maximum stream norm B >= 0, u <= 2^(-b-guard) gives every-cut error <= B*2^(-b), strictly when B > 0. At B=0 the stated relative-defect contract forces exact zero.", + "proof": "The nonnegative recurrence bounds every ideal state by P*B and every sequence of uniform unit defects by K at every cut. For E the maximum actual error, linear propagation gives E <= K*u*(P*B+E). Since K*u < 1/2, E <= K*u*P*B/(1-K*u). The recorded dyadic guard makes this less than B*2^(-b).", + "scope": "Finite local conditional precision implication only. This is neither a rounded-child implementation nor selected global stock/row or all-size admission.", + "trace_sha256": "fc965c4a041f26960268b78ba526b9cca13cd01d713a843f31fe4a82c4e08334" +} diff --git a/research/selective-borrowing-kappa/local/data/precision-forward.json b/research/selective-borrowing-kappa/local/data/precision-forward.json new file mode 100644 index 0000000000..86c3310742 --- /dev/null +++ b/research/selective-borrowing-kappa/local/data/precision-forward.json @@ -0,0 +1,22 @@ +{ + "status": "PASS_ALL_CUT_NONCANCELLATION_ENVELOPE", + "instructions_after_horner_and_swap_expansion": 85029, + "ideal_prefix_P": "4775934987978459611/2", + "uniform_completed_instruction_defect_K": "19304968969869700845", + "P_binary_upper": 62, + "K_binary_upper": 65, + "local_sufficient_guard_bits": 130, + "ideal_peak": [ + 83598, + 313 + ], + "error_peak": [ + 83598, + 313 + ], + "completed_instruction_defect_contract": "For each completed recursive unitary/COPY step, Hilbert defect <= u times maximum current stream norm. Each real arithmetic primitive has defect <= u times its row norm times that maximum; the envelope charges a factor two when combining the real and imaginary components. All compound ADD coefficients are expanded through an actual owned Horner work row; SCALE and SWAP are expanded to their real primitives. Exact clear/zero allocation writes zero.", + "sufficient_implication": "For every b >= 0 and initial maximum stream norm B >= 0, u <= 2^(-b-guard) gives every-cut error <= B*2^(-b), strictly when B > 0. At B=0 the stated relative-defect contract forces exact zero.", + "proof": "The nonnegative recurrence bounds every ideal state by P*B and every sequence of uniform unit defects by K at every cut. For E the maximum actual error, linear propagation gives E <= K*u*(P*B+E). Since K*u < 1/2, E <= K*u*P*B/(1-K*u). The recorded dyadic guard makes this less than B*2^(-b).", + "scope": "Finite local conditional precision implication only. This is neither a rounded-child implementation nor selected global stock/row or all-size admission.", + "trace_sha256": "a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee" +} diff --git a/research/selective-borrowing-kappa/local/data/wrappers-backward.json b/research/selective-borrowing-kappa/local/data/wrappers-backward.json new file mode 100644 index 0000000000..42ab6d7c82 --- /dev/null +++ b/research/selective-borrowing-kappa/local/data/wrappers-backward.json @@ -0,0 +1,60767 @@ +{ + "status": "PASS_BACKWARD_ENDPOINT_AND_SPECTATOR_WRAPPERS", + "trace_sha256": "fc965c4a041f26960268b78ba526b9cca13cd01d713a843f31fe4a82c4e08334", + "native_payload_sha256": "e5214a0780f58f407a6163eef8e99ccacfd77741e1897a3725941616e5ba6c05", + "helper_count": 436, + "data_adapter_count": 224, + "helpers": { + "224": { + "width": 9, + "initial": [], + "final": [ + 256, + 128, + 64, + 32, + 16, + 8, + 4, + 2, + 1 + ], + "relative_native_ref": 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phase.", + "scope": "Exact finite local ABI only. 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"PASS_FIXED_BLOCK_MOMENT_PREMISES", + "subset_checks": 9180 +} diff --git a/research/selective-borrowing-kappa/local/inputs/selected-complex-word.json.gz b/research/selective-borrowing-kappa/local/inputs/selected-complex-word.json.gz new file mode 100644 index 0000000000..5f9ef68098 Binary files /dev/null and b/research/selective-borrowing-kappa/local/inputs/selected-complex-word.json.gz differ diff --git a/research/selective-borrowing-kappa/local/invoice.py b/research/selective-borrowing-kappa/local/invoice.py new file mode 100644 index 0000000000..796c94519f --- /dev/null +++ b/research/selective-borrowing-kappa/local/invoice.py @@ -0,0 +1,148 @@ +"""Fresh conservative finite invoice from actual local words and owner table. + +Retains the existing m=73 chart compiler and finite cover/row conventions, but +recounts the new program, all scratch and exact fine-grid magnitude/depth guards. +The separate optional rounding envelope is not an inherited child premise. +""" +import argparse +import gzip +import hashlib +import json +import sys +from collections import Counter,defaultdict +from fractions import Fraction as Q +from pathlib import Path + +HERE=Path(__file__).resolve().parent +sys.path.insert(0,str(HERE)) +from precision import calculate,expanded + +def need(condition,label): + if not condition:raise ValueError(label) + +def scalar_count(trace): + counts=Counter();real=work=0;macros=0 + for event in expanded(trace['events']): + kind=event[0];counts[kind]+=1 + if kind=='add': + q=Q(event[3]);a,b=abs(q.numerator),q.denominator + need(a>0 and b&(b-1)==0,'dyadic ADD coefficient') + count=3+(a.bit_length()-1)+a.bit_count()+(b.bit_length()-1) + work+=count;macros+=1;real+=2*count + elif kind=='scale': + q=Q(event[2]);a,b=abs(q.numerator),q.denominator + need(a>0 and a&(a-1)==0 and b&(b-1)==0,'dyadic unit SCALE') + count=abs(a.bit_length()-b.bit_length())+int(q<0) + macros+=1;real+=2*count + elif kind in ('copy','clear','zero_buffer'): + macros+=1;real+=2 + # Explicit post-call exact clears make the private-zero return literal even + # for approximate recursive children. They preserve the ideal word endpoint. + postlude_clears=len(trace['zero_buffers'])+1 + real+=2*postlude_clears;macros+=postlude_clears + return dict(expanded_event_counts=dict(counts),scalar_macros=macros, + real_component_primitives=real,coefficient_work_primitives=work, + extra_exact_private_postlude_clears=postlude_clears, + conservative_macro_envelope=sum(counts.values())+postlude_clears) + +def main(): + parser=argparse.ArgumentParser();parser.add_argument('--variant',type=Path,required=True) + parser.add_argument('--owners',type=Path,required=True);parser.add_argument('--out',type=Path,required=True) + args=parser.parse_args();words={};local={};bindings={} + for orientation in ('forward','backward'): + p=args.variant/(orientation+'.json');words[orientation]=json.loads(p.read_bytes()) + local[orientation]=scalar_count(words[orientation]);local[orientation]['precision']=calculate(words[orientation]) + bindings[orientation+'_word_sha256']=hashlib.sha256(p.read_bytes()).hexdigest() + raw=args.owners.read_bytes();owners=json.loads(gzip.decompress(raw) if args.owners.suffix=='.gz' else raw) + groups=defaultdict(list) + for row in owners:groups[row['stage'],row['replica']].append(row) + helpers=len(words['forward']['helper_widths']);expected_helpers=set(map(int,words['forward']['helper_widths'])) + need(helpers==436,'selected fixed 44-alias variant') + need(set(groups)=={(stage,replica) for stage in range(9) for replica in range(8)},'all actual stage/replica calls') + for rows in groups.values(): + need(len(rows)==helpers and {r['helper'] for r in rows}==expected_helpers,'actual new physical helper roles') + calls=len(groups);replicas=8;bridges=9*replicas;m=73;v=112 + # Eight original private centre reserves safely cover the one COPY buffer; + # retain all 492 old local-helper reserves and add all 75 cleanup buffers. + live=896*replicas;retained_helper_reserve=492 + cleanup_buffers=max(len(w['zero_buffers']) for w in words.values()) + need(cleanup_buffers==75,'actual simultaneous FULL cleanup reserve') + centres,coefficient_work=8,2 + physical=live+retained_helper_reserve+cleanup_buffers+centres+coefficient_work + n=2*v+helpers+cleanup_buffers+1+coefficient_work + compiler=64*(m+1)**3 + children=sum(words['forward']['local_profile'].values()) + need(words['forward']['local_profile']==words['backward']['local_profile'],'same true paid profile') + macro_bound=max(x['conservative_macro_envelope'] for x in local.values()) + adapters=16*(macro_bound+children+n+centres)+64*m + primitive=max(x['real_component_primitives'] for x in local.values())+adapters*compiler + local_guard=max(x['precision']['local_sufficient_guard_bits'] for x in local.values()) + block_count=calls+bridges + summation_bits=(block_count-1).bit_length() + input_sup_to_l2_bits=(m+1)//2 + coordinate_defect_to_l2_bits=(m+1)//2 + optional_rounding_guard=local_guard+2*block_count+summation_bits+3+input_sup_to_l2_bits+coordinate_defect_to_l2_bits + ideal_local_bits=max(x['precision']['P_binary_upper'] for x in local.values()) + global_guard=ideal_local_bits+block_count+input_sup_to_l2_bits + payload=512 + # Endpoint-normalized data calls and bridge shears have stream-Hilbert + # operator norm <=2; helpers are content-independent unitary residuals. + # Thus P<=2^B, K<=B*2^B for B completed blocks. Applying the same feedback + # argument to the local guard gives the following deliberately coarse bill. + wrapper_count=2*helpers+2*v + wrapper_factors=calls*wrapper_count*2*(m-1) + bridge_additions=2*v*bridges + shifts=4*v*replicas;moves=2*shifts + outside_items=(6*calls*n+m*live+bridge_additions+shifts+moves+live+physical+wrapper_factors) + outside=8*outside_items+64*m + orientation_counts=Counter('forward' if stage%2==0 else 'backward' for stage,replica in groups) + scalar=sum(orientation_counts[o]*local[o]['real_component_primitives'] for o in local) + pervertex=scalar+bridge_additions+shifts+moves+live+(calls*adapters+outside)*compiler+64*physical + half=m//2;group=2**(half*half) + for j in range(1,half+1):group*=2**(2*j)-1 + stock=group*physical;logical=group*pervertex+64 + router=compiler*(logical+1)*(stock+1)**2 + # Source-independent mass overcharge: actual admitted profiles have positive + # deficit and therefore no more than m*live total paid rank. + streamed_mass=group*m*live + G,E,C0=2**30000,2**100000,2**210000 + literal=2*G*stock**2+8*streamed_mass+4*stock+4+32*m + total_mass=streamed_mass+E + row=2*stock.bit_length()+9909+252+2*payload + checks=dict(local_primitive_bound=primitive<2**48,logical=logical<2**6050, + router=router=1'), + exact_fine_grid_contract=dict(completed_child='C_r tensor powers are exact, with Gaussian dyadic denominators 2^(r*f) and coordinate row-sum at most 2^(r*f). No intermediate child rounding.', + active_depth_recurrence='A(e)<=A(rmax*floor(e/73))+s*floor(e/73)+E; for rmax<=72 and B=s+E>=8, A(e)<=2*B*e.', + outer_common_excess='(2*B+18)*d < 32*73*B^2*d; use Delta=ceil(C0*d) with C0=2^210000.', + literal_scope='Fresh literal charge includes every dyadic Horner primitive, private clear, monomial wrapper and route; native monomials introduce only unit Gaussian phases.'), + optional_rounding_robustness=dict(global_guard_coefficient=optional_rounding_guard, + scope='Separate sufficient feedback implication only, conditional on the explicit local Hilbert-defect contracts in precision receipts. It is not the inherited exact child contract and is not needed for the exact finite invoice.'), + wrapper_elementary_factors=wrapper_factors,actual_recounted_real_primitives=scalar, + conservative_outside_items=outside_items,conservative_pervertex=pervertex, + finite=dict(group_bits=group.bit_length(),physical_stock_bits=stock.bit_length(), + logical_bits=logical.bit_length(),router_bits=router.bit_length(),literal_bits=literal.bit_length(), + physical_row_coefficient=row,retained_row_coefficient=20161, + required_C0_bits=(32*m*total_mass*total_mass).bit_length(),C0_exponent=210000), + strict_checks=checks,source_bindings=bindings, + owner_table_sha256=hashlib.sha256(raw).hexdigest(), + inherited_conventions='m=73 cover order, chart compiler64*(m+1)^3, elementary route/family-selection bound, row9909+252, G=2^30000, E=2^100000, C0=2^210000', + scope='Fresh source-bound finite upper charges. All-size compiler, exact Gaussian-dyadic completed-child interface with active-depth common exponent, tape/route realization and analytic transfer remain inherited premises. Owner capacity/chronology/axes admission and exact moment/outer assembly are separate checked artifacts.') + args.out.write_text(json.dumps(output,indent=2)+'\n',encoding='utf-8') + print(output['status'],'physical',physical,'guard',global_guard,'row',row,'primitive_bits',primitive.bit_length()) + +if __name__=='__main__':main() diff --git a/research/selective-borrowing-kappa/local/native.py b/research/selective-borrowing-kappa/local/native.py new file mode 100644 index 0000000000..7478a0d237 --- /dev/null +++ b/research/selective-borrowing-kappa/local/native.py @@ -0,0 +1,176 @@ +"""Lower every actual operation of the complete credited borrowing trace. + +Native records are checked by a separately implemented signed-Pauli interpreter +and an exact Gaussian zero-column phase check. Checkpoints are immutable. +""" +import argparse +import gzip +import hashlib +import importlib.util +import json +import sys +import time +from functools import lru_cache +from pathlib import Path + +HERE = Path(__file__).resolve().parent +VENDOR = HERE / 'vendor' + +def load(name, path): + spec = importlib.util.spec_from_file_location(name, path) + module = importlib.util.module_from_spec(spec) + sys.modules[name] = module + spec.loader.exec_module(module) + return module + +CE = load('borrow_native_clifford', VENDOR / 'clifford_exact.py') +N = load('borrow_native_independent', VENDOR / 'native_verify.py') + +def need(condition, message): + if not condition: + raise ValueError(message) + +def canonical(vectors): + rows = {} + for value in vectors: + while value: + j = value.bit_length() - 1 + if j in rows: + value ^= rows[j] + else: + rows[j] = value + break + for j in sorted(rows): + for k in rows: + if k > j and rows[k] >> j & 1: + rows[k] ^= rows[j] + return tuple(rows[j] for j in sorted(rows, reverse=True)) + +@lru_cache(None) +def chart(vectors): + return CE.canonical_frame(9, canonical(vectors)) + +def inverse_columns(cols): + return CE.transpose(CE.inv(CE.transpose(cols, 9), 9), 9) + +def linear_columns(cols, value): + out = 0 + for i, c in enumerate(cols): + if value >> i & 1: + out ^= c + return out + +def change_columns(old, new): + a, b = CE.basis_extend(old, 9), CE.basis_extend(new, 9) + return tuple(linear_columns(b, col) for col in inverse_columns(a)) + +def logical_operator(warp): + cols = change_columns(tuple(warp['from_basis']), tuple(warp['to_basis'])) + inverse = inverse_columns(cols) + transposed_inverse = CE.transpose(inverse, 9) + quadratic = tuple((1 << i) ^ linear_columns(transposed_inverse, inverse[i]) for i in range(9)) + return CE.perm(9, CE.transpose(cols, 9)).then(CE.diag(9, quadratic)) + +def make_jobs(trace, literal_bound=False): + logical = {w['operator']: logical_operator(w) for w in trace['warps']} + fourier = CE.fourier(9) + dual = {symbol: fourier.adjoint().then(op.adjoint()).then(fourier) + for symbol, op in logical.items()} + jobs, event_refs = {}, [] + def add(kind, metadata, actual, rank): + payload = [kind, metadata] + if literal_bound: + payload.append(actual.circuit) + key = hashlib.sha256(json.dumps(payload, sort_keys=True, separators=(',', ':')).encode()).hexdigest() + jobs.setdefault(key, dict(kind=kind, metadata=metadata, actual=actual, rank=rank)) + return key + for index, event in enumerate(trace['events']): + kind = event[0] + if kind == 'transport': + old, new = canonical(event[2]), canonical(event[3]) + key = add(kind, dict(old=old, new=new), chart(old).adjoint().then(chart(new)), event[4]) + elif kind in ('handoff', 'dual_handoff'): + old, new, symbol = canonical(event[2]), canonical(event[3]), event[4] + reference = dual if kind == 'dual_handoff' else logical + op = chart(old).adjoint().then(reference[symbol]).then(chart(new)) + key = add(kind, dict(old=old, new=new, symbol=symbol), op, 0) + elif kind in ('logical_monomial', 'dual_monomial'): + symbol, frame = event[2], canonical(event[3]) + reference = dual if kind == 'dual_monomial' else logical + op = reference[abs(symbol)] + if symbol < 0: + op = op.adjoint() + op = chart(frame).adjoint().then(op).then(chart(frame)) + key = add(kind, dict(frame=frame, symbol=symbol), op, 0) + else: + key = None + event_refs.append(key) + residual_refs = {} + for register, endpoints in trace['endpoints'].items(): + if int(register) < 224: + continue + old, new = canonical(endpoints['initial']), canonical(endpoints['final']) + residual_refs[register] = add('helper_residual', dict(old=old, new=new), + chart(old).adjoint().then(chart(new)), len(new) - len(old)) + return jobs, event_refs, residual_refs + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--limit', type=int) + parser.add_argument('--orientation', choices=('forward', 'backward'), default='forward') + parser.add_argument('--trace', type=Path) + parser.add_argument('--out-dir', type=Path) + args = parser.parse_args() + source = args.trace or HERE / (args.orientation + '-physical-events.json') + trace = json.loads(source.read_bytes()) + jobs, refs, residuals = make_jobs(trace, literal_bound=bool(args.trace)) + destination = args.out_dir or HERE / ('native-' + args.orientation) + records_dir = destination / 'records' + records_dir.mkdir(parents=True, exist_ok=True) + started = time.monotonic() + count = 0 + retained = {} + def operation_key(circuit, rank): + return hashlib.sha256(json.dumps([circuit,rank],separators=(',',':')).encode()).hexdigest() + for orientation in ('forward','backward'): + for path in (HERE/('native-'+orientation)/'records').glob('*.json'): + record=json.loads(path.read_bytes()) + retained.setdefault(operation_key(record['literal_expected'],record['recipe']['rank']),record) + for key, job in sorted(jobs.items()): + path = records_dir / (key + '.json') + if path.exists(): + continue + previous=retained.get(operation_key(job['actual'].circuit,job['rank'])) + if previous is not None: + recipe=previous['recipe'] + else: + recipe, compiled = CE.lower_child(job['actual']) + need(recipe['rank'] == job['rank'], ('actual physical rank', job['kind'], job['metadata'], recipe['rank'], job['rank'])) + N.equal(N.recipe(recipe), tuple(job['actual'].circuit), 'complete borrowing ' + job['kind']) + record = dict(kind=job['kind'], metadata=job['metadata'], recipe=recipe, + literal_expected=job['actual'].circuit, + signed_pauli_rows=job['actual'].tab, + exact_gaussian_zero_state=(previous.get('exact_gaussian_zero_state') if previous is not None else + CE.monomial(compiled)[1] if recipe['rank'] == 0 else None)) + path.write_text(json.dumps(record, separators=(',', ':')) + '\n', encoding='utf-8') + count += 1 + if count % 50 == 0: + print('NATIVE_COMPILED', count, 'new;', len(list(records_dir.glob('*.json'))), '/', len(jobs), 'seconds', round(time.monotonic() - started, 2), flush=True) + if args.limit and count >= args.limit: + break + present = {p.stem for p in records_dir.glob('*.json')} + complete = set(jobs) <= present + report = dict(status='PASS_ALL_' + args.orientation.upper() + '_NATIVE_RECIPES' if complete else 'PARTIAL_' + args.orientation.upper() + '_NATIVE_CHECKPOINT', + jobs=len(jobs), present=len(present), newly_compiled=count, + trace_sha256=hashlib.sha256(source.read_bytes()).hexdigest(), + compiler_sha256=hashlib.sha256((VENDOR / 'clifford_exact.py').read_bytes()).hexdigest(), + independent_checker_sha256=hashlib.sha256((VENDOR / 'native_verify.py').read_bytes()).hexdigest(), + events=len(refs), helper_residuals=len(residuals), + literal_bound_keys=bool(args.trace), + limitation='Finite exact native operators for the ' + args.orientation + ' word only; whole-call hosting, precision and all-size admission separate.') + (destination / 'STATUS.json').write_text(json.dumps(report, indent=2) + '\n', encoding='utf-8') + if complete: + out = dict(event_recipe_refs=refs, helper_residual_refs=residuals, + records={key: json.loads((records_dir / (key + '.json')).read_bytes()) for key in sorted(jobs)}) + (destination / ('NATIVE-' + args.orientation.upper() + '.json.gz')).write_bytes(gzip.compress((json.dumps(out, separators=(',', ':')) + '\n').encode(), mtime=0)) + print(json.dumps(report, indent=2), flush=True) diff --git a/research/selective-borrowing-kappa/local/precision.py b/research/selective-borrowing-kappa/local/precision.py new file mode 100644 index 0000000000..da5e30fc80 --- /dev/null +++ b/research/selective-borrowing-kappa/local/precision.py @@ -0,0 +1,106 @@ +"""All-cut noncancellation Hilbert-norm envelope for literal local words. + +This establishes a sufficient implication under an explicit completed-instruction +defect contract. It does not instantiate rounded recursive children or an all-size +stock/row envelope. Native Clifford factors and monomial adapters are unitary. +""" +import argparse +import hashlib +import json +from fractions import Fraction as Q +from pathlib import Path + +def need(ok,label): + if not ok:raise ValueError(label) + +def binary_ceiling(x): + need(x>0,'positive norm bound') + power=max(0,x.numerator.bit_length()-x.denominator.bit_length()) + while Q(2)**power1 and type(e[1]) is int:used.add(e[1]) + work=max(used)+1 + yield ['zero_buffer',work,[],trace['active_registers'][0]] + for e in expanded(trace['events']): + kind=e[0] + if kind=='add': + _,target,source,q,F=e;q=Q(q);a,b=abs(q.numerator),q.denominator + need(a>0 and b&(b-1)==0,'dyadic Horner coefficient') + yield ['clear',work,F] + for index,bit in enumerate(bin(a)[2:]): + if index:yield ['scale',work,'2',F] + if bit=='1':yield ['add',work,source,'1',F] + for _ in range(b.bit_length()-1):yield ['scale',work,'1/2',F] + yield ['add',target,work,str(1 if q>0 else -1),F] + yield ['clear',work,F] + elif kind=='scale': + _,r,q,F=e;q=Q(q);a,b=abs(q.numerator),q.denominator + need(a>0 and a&(a-1)==0 and b&(b-1)==0,'power-of-two scalar unit') + if q<0:yield ['scale',r,'-1',F] + power=a.bit_length()-b.bit_length() + for _ in range(abs(power)):yield ['scale',r,'2' if power>0 else '1/2',F] + else:yield e + # The explicit implementation postlude clears every owned array exactly. + private={e[1] for e in trace['events'] if e[0] in ('copy','zero_buffer')} + for r in sorted(private):yield ['clear',r,[]] + yield ['clear',work,[]] + +def calculate(trace): + ideal={r:Q(1) for r in trace['active_registers']} + errors={r:Q(0) for r in trace['active_registers']} + P,K=Q(1),Q(0);peakP=peakK=None;count=0 + for index,e in enumerate(primitive_expansion(trace)): + count+=1;kind=e[0];r=e[1] + if kind=='add': + q=abs(Q(e[3]));s=e[2] + ideal[r]+=q*ideal[s];errors[r]+=q*errors[s];local=2*(1+q) + elif kind=='scale': + q=abs(Q(e[2]));ideal[r]*=q;errors[r]*=q;local=2*max(Q(1),q) + elif kind=='copy': + s=e[2];ideal[r]=ideal[s];errors[r]=errors[s];local=Q(1) + elif kind in ('clear','zero_buffer'): + # Writing the exact zero bit-pattern incurs no numerical rounding. + ideal[r]=errors[r]=Q(0);local=Q(0) + elif kind in ('transport','handoff','logical_monomial','dual_handoff','dual_monomial','zero_reframe'): + # Physical native factors are unitary; zero reframe is literal identity. + need(r in ideal,'allocated physical stream') + local=Q(1) + else:raise ValueError(('unsupported physical instruction',kind)) + errors[r]+=local + if ideal[r]>P:P=ideal[r];peakP=[index,r] + if errors[r]>K:K=errors[r];peakK=[index,r] + p,k=binary_ceiling(P),binary_ceiling(K) + guard=p+k+3 + u=Q(1,2**guard) + need(K*u=2*v} + trace=dict(status='EXPORTED_COMPLETE_FORWARD_PHYSICAL_EVENTS_NATIVE_LOWERING_PENDING', + source_replay_sha256='0f9a47cdaeed0e22938c63251c232d6f23aeee2b62b0b1223cd4473c5428bcf7',events=native,endpoints=endpoints, + helper_widths=helpers,zero_buffers=buffer_map,copy_register=copy_register, + original_register_count=n,active_registers=active,warps=warps, + local_profile=dict(sorted(profile.items())),scalar_counts=dict(Counter(e[0] for e in native))) + (a.output.parent/'forward-physical-events.json').write_text(json.dumps(trace,indent=2)+'\n') + a.output.write_text(json.dumps(out,indent=2)+'\n');print('PASS_FIXED_BORROWED_WORD columns='+str(len(active))+' removed='+str(len(removed))+' cold='+str(len(restored))) + if a.framed_word: + data={'start':{str(r):w['frames'][w['start'][r]] for r in active}, + 'final':{str(r):frame_basis(cur[r]) for r in active},'steps':framed_steps, + 'copy_profile':dict(Counter(len(w['frames'][f]) for f in w['center_frames'])), + 'handoff_profile':dict(Counter(x.get('physical_handoff_rank',0) for x in warps if x.get('physical_handoff_rank',0))), + 'original_profile':dict(sorted(profile.items())),'h':w['h']} + a.framed_word.write_text(json.dumps(data,separators=(',',':'))+'\n') + + +if __name__=='__main__':main() diff --git a/research/selective-borrowing-kappa/local/vendor/FRAME-SA504-NOTICE.md b/research/selective-borrowing-kappa/local/vendor/FRAME-SA504-NOTICE.md new file mode 100644 index 0000000000..f7a8f861be --- /dev/null +++ b/research/selective-borrowing-kappa/local/vendor/FRAME-SA504-NOTICE.md @@ -0,0 +1,24 @@ +# Attribution and derivative scope + +Prepared for icekylinx with OpenAI GPT-6 Astra assistance; Apache-2.0. +Copyright 2026 icekylinx. Local review and submission packaging used OpenAI Codex. +The new work is the same-partition 504-helper scalar architecture, its frozen +entrance selection, delivery-frame coalescing, literal global allocation, +targeted certificate reuse and complete new finite recount. + +The included Hamming inputs, Gaussian-dyadic Clifford compiler, primitive +scalar routines, rational moment engines and outer assembly descend from the +authors recorded in `SOURCES.json` and `inputs/PR523-ANCESTRY.json`. Original +source notices are retained. In particular, DreamingOfClouds' gauge/kernel +and paid-wrapper files retain their notice crediting Claude Opus 5.5 assistance; +those files are not presented as newly authored work. + +Dugongue's PR522 rank-sector coordinate-total principle was inspected and is +credited as a related idea. This increment does not import its ranksector99 +patch or add its reported gain arithmetically. Higherbeing's PR520 face-packet +geometry helped direct the structural investigation; its code is not copied. +The latest numerical comparison, Rohan Arun's PR527, is a comparison source. + +The reproduction wrapper deliberately separates fresh changed-word/global +checks from reuse of the byte-pinned completed baseline and unchanged bit +operator. Old finite receipts never stand in for the changed local word. diff --git a/research/selective-borrowing-kappa/local/vendor/PR1862-NOTICE.md b/research/selective-borrowing-kappa/local/vendor/PR1862-NOTICE.md new file mode 100644 index 0000000000..24461eddc1 --- /dev/null +++ b/research/selective-borrowing-kappa/local/vendor/PR1862-NOTICE.md @@ -0,0 +1,50 @@ +# Source attribution and license + +New research, code, and verification used substantial OpenAI Codex +assistance under the user's direction. Separate agents developed the +input construction and reviewed its algebra, native phases, and literal +programs. No independent human review is claimed. New material uses the +repository's Apache-2.0 license. + +The package reads immutable source objects at commit +`bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. It does not change the frozen +source archive or copy a predecessor package. Exact source pins are in +[SOURCES.json](SOURCES.json). The original notices are retained as exact +files under `notices/`. + +The local word comes from the gauge44 lineage. Its +[notice](https://github.com/CrocSwap/integer-mult-bounds/blob/bce54fb3f895cbe5cd4c0eb477c3afeed100190f/research/gauge44-slots-t16/NOTICE.md) +credits @icekylinx, with OpenAI GPT-6 Astra assistance, for the source +gauge and related local construction. The +[construction notice](https://github.com/CrocSwap/integer-mult-bounds/blob/bce54fb3f895cbe5cd4c0eb477c3afeed100190f/research/gauge44-slots-t16/construction/NOTICE.md) +preserves the factory, K-triangle, porting, joint-prefix, and HPE lineage. + +The retained +[t16 notice](https://github.com/CrocSwap/integer-mult-bounds/blob/bce54fb3f895cbe5cd4c0eb477c3afeed100190f/research/gauge44-slots-t16/t16/NOTICE.md) +credits Hao Yan (@FanPUYen) for the integration; Jeremy Kothe +(@jeremykothe2) for the [PR #799](https://github.com/CrocSwap/integer-mult-bounds/pull/799) +local supplier; and Chafik Boukhalfa (@chafreaky) for the +[PR #741](https://github.com/CrocSwap/integer-mult-bounds/pull/741) +frame work. These sources and their earlier attribution are retained +inputs, not new results of this package. Name-to-account evidence is in +the pinned +[contributor record](https://github.com/CrocSwap/integer-mult-bounds/blob/bce54fb3f895cbe5cd4c0eb477c3afeed100190f/CONTRIBUTORS.md). + +The complete +[upstream notice](https://github.com/CrocSwap/integer-mult-bounds/blob/bce54fb3f895cbe5cd4c0eb477c3afeed100190f/research/gauge44-slots-t16/UPSTREAM-NOTICE.md) +retains DreamingOfClouds, earlier cold-end and joint-prefix work, other +contributors, source pins, licenses, and AI disclosures. It is copied +without edits. The selected slot-word lineage also credits @rohanarun +for [PR #987](https://github.com/CrocSwap/integer-mult-bounds/pull/987) +and NewBArch for [PR #869](https://github.com/CrocSwap/integer-mult-bounds/pull/869) +in the pinned +[local README](https://github.com/CrocSwap/integer-mult-bounds/blob/bce54fb3f895cbe5cd4c0eb477c3afeed100190f/research/gauge44-slots/README.md). +NewBArch is the credited source name; no account identity is inferred. + +The portable source loader, sparse replay, and exact native interpreter +come from this centre-encoding campaign. They retain the same source +objects used in [PR #1719](https://github.com/CrocSwap/integer-mult-bounds/pull/1719), +but this package does not depend on that PR being merged. The new verifier +does not import the source-code producer or the exploratory native +compiler. The historical global owner map and final invoice are not +replayed or improved by this local package. diff --git a/research/selective-borrowing-kappa/local/vendor/PR1972-NOTICE.md b/research/selective-borrowing-kappa/local/vendor/PR1972-NOTICE.md new file mode 100644 index 0000000000..eb4ac7c07f --- /dev/null +++ b/research/selective-borrowing-kappa/local/vendor/PR1972-NOTICE.md @@ -0,0 +1,11 @@ +New material: Rohan Arun, with substantial OpenAI Codex assistance. Apache-2.0. +Vendored PR1940 verifier and schedule: Adam Gall, with substantial OpenAI +Codex (gpt-6-astra) assistance; Apache-2.0. The source docstring is retained. +The P104 fixture comes from Josie Elliston / PR1071, with substantial Claude +Opus 5.5 assistance, through the hash-pinned PR1940 input. The decoder, +32-path bound and their lineage belong to PR1071, Ali Romman / PR1125, +themilkman216 / PR968, DreamingOfClouds / PR717, PR446/PR595 and GamingPuzzled +/ Joel Pulikkan / PR620. None of those results is claimed new here. +The generic dirty-cancellation identity is not claimed new. PR673 and the +existing dirty-helper source/target compensation methods are adjacent +precedents. No literature-priority guarantee or independent human review. diff --git a/research/selective-borrowing-kappa/local/vendor/PR1991-README.md b/research/selective-borrowing-kappa/local/vendor/PR1991-README.md new file mode 100644 index 0000000000..f187d1ac0b --- /dev/null +++ b/research/selective-borrowing-kappa/local/vendor/PR1991-README.md @@ -0,0 +1,91 @@ +# Native P104 low-rank channel + +Concrete finite Clifford recipes for the complete low-rank channel in +[Rohan Arun's PR1972](https://github.com/CrocSwap/integer-mult-bounds/pull/1972), +head `fd82d172f46933fd253c2c6de4bd5eaff5429cfd`. Its scalar/frame construction +is retained, not claimed new. This package replaces its conditional free-chart +realization with exact Gaussian-dyadic primitive recipes and intrinsic data +endpoint adapters. + +**No complete P104 supplier or new kappa.** The `I-G/2` side correction, +chronological global hosting, precision and all-size admission remain open. +The selected frontier is unchanged. + +## Result + +For the frozen 104 root ports, source logical values `x`, target values `y` +and 72 independent arbitrary dirty helpers, the channel implements +`y <- y + (G/2)x`, with the prescribed source/target transports. All 72 helper +logical values are restored at the full frame. A separate owned private copy +has eight explicit allocate/copy/descend/discard lifetimes under the inherited +private-copy contract; it is not one of the 72 dirty inputs. + +[EXPECTED.json](EXPECTED.json) records: + +- 740 distinct native transport recipes covering all 1410 paid occurrences; +- 208 monomial data endpoint adapters: 104 source entries and 104 target exits; +- all 280 arbitrary register input columns in a complete framed induction; +- 14,400 physical root-pairing checks and 4096 exact Gaussian private-drop columns; +- five rejecting controls, including global phase and missing query compensation/cleanup. + +The exact profile remains +`1074 H1 + 58 H2 + 86 H3 + 104 H4 + 48 H5 + 24 H6 + 8 H7 + 8 H8`. +Its rank mass is **2368 = 2312 boundary coverage + COPY56**. This is the same +local boundary invoice as PR1972, not a globally hosted recursive price. + +The compressed root labels require a nontrivial Gram isometry before using +ordinary physical binary dot products. [PROOF.md](PROOF.md) gives that binding, +the native operator check and the full-word induction. + +## Reproduce + +Standard-library Python. Default replay is read-only, needs no network or Git, +and imports neither the channel producer nor the Clifford compiler: + +```sh +python3 -I -O -B research/p104-native-channel/verify.py +``` + +Also rebuild every recipe in temporary storage and compare the complete +decompressed payload: + +```sh +python3 -I -O -B research/p104-native-channel/verify.py --regenerate +``` + +The registered hook runs both checks with a 300-second limit: + +```sh +python3 scripts/research_package.py --package research/p104-native-channel --check-only +python3 scripts/research_package.py --package research/p104-native-channel +``` + +The generic metadata check needs Git provenance. The direct command also works +from a read-only source export. `--out PATH` writes a receipt exclusively to a +new caller-selected file. Source hashes and exact origins are in +[SOURCES.json](SOURCES.json); [TASK.json](TASK.json) records the changed audit scope. +Compression bytes are not used to compare regenerated mathematics. + +## Open next questions + +Integrate a fully charged `I-G/2` side word while the required source/target +frames remain available. Appending it after source completion is not justified. +Then assign actual chronological owners to the completed word, count all idle +and residual children, and compare the exact recursive moment. Those steps, +plus precision and all-size lifting, are required before a supplier or kappa +claim. Concrete first steps and blockers are in `TASK.json`. + +## Credit + +Rohan Arun / PR1972 supplies the complete scalar/frame channel; Adam Gall / +PR1940 supplies the schedule. The P104 fixture and decoder derive from Josie +Elliston / PR1071, with Ali Romman / PR1125 and the PR968/717/446/595/620 lineage. +The exact compiler is retained through icekylinx's frame-sa504 package; the +independent Gaussian interpreter comes from Ali Romman's PR1862, also retained +in PR1931. Exact predecessor notices are under `notices/`. + +Native lowering, the independent physical binding and framed induction were +prepared for Chafik Boukhalfa with substantial OpenAI Codex assistance. +Apache-2.0. No independent human review, proof assistant or literature-priority +guarantee is claimed. The fresh overlap screen covered 470 open PRs and 614 +discussions; its limits are recorded in `SOURCES.json`. diff --git a/research/selective-borrowing-kappa/local/vendor/PR2226-NOTICE.md b/research/selective-borrowing-kappa/local/vendor/PR2226-NOTICE.md new file mode 100644 index 0000000000..5ea70357a0 --- /dev/null +++ b/research/selective-borrowing-kappa/local/vendor/PR2226-NOTICE.md @@ -0,0 +1,22 @@ +# Attribution and license + +New construction, proof text and checkers: Cinna Davis (@1337isnot1337), with +substantial OpenAI Codex assistance, Apache-2.0. + +The selected complex canonical word is the PR1042 ancestry retained in PR1094. +Jeremy Kothe, Rohan Arun, Hao Yan, Chafik Boukhalfa, icekylinx, Jonathan Capalbo +and the source package's full provider/frame/controller lineage retain credit. +Ali Romman supplied the source-bound fixed-block theorem and certificate; +Thomas DiFiore supplied the earlier block discovery. The borrowing construction +does not attribute its changed interface to those predecessor results. + +`price_engine.py` is an unchanged copy of the incorporated +`research/complex-local-word-ceiling/ceiling.py`: Douglas Colkitt, with Claude +(Anthropic) assistance; original SPDX/license context and docstring retained. +General Clifford frame and exact Gaussian normal forms are inherited from +`notes/general-clifford-frames.tex` and the repository's credited phase/compiler +lineage. The package independently checks its actual local Gaussian products. + +Source hashes, base commits and the copied engine's Git blob are in SOURCES.json. +No full native supplier, all-size compiler, precision theorem or new kappa is +claimed. No independent human review is claimed. diff --git a/research/selective-borrowing-kappa/local/vendor/PR2226-replay.py b/research/selective-borrowing-kappa/local/vendor/PR2226-replay.py new file mode 100644 index 0000000000..1bbe590206 --- /dev/null +++ b/research/selective-borrowing-kappa/local/vendor/PR2226-replay.py @@ -0,0 +1,293 @@ +#!/usr/bin/env python3 +"""Exact replay over a free operator algebra for nominated dirty borrowing. + +The current implementation closes cleanup at FULL on every non-target field. +It prices that choice explicitly. This is not a hosted supplier admission. +""" +import argparse,gzip,json,time +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + + +def span(basis): + s={0} + for x in basis:s|={t^x for t in s.copy()} + return frozenset(s) + + +def incident(e):return e[1:3] if e[0]=='add' else e[1:2] + + +def add(dst,src,c): + for key,value in list(src.items()): + z=dst.get(key,Q(0))+c*value + if z:dst[key]=z + elif key in dst:del dst[key] + + +def warp(row,op): + out={} + for (var,word),value in row.items(): + word=word[1:] if word and word[0]==-op else (op,)+word + out[var,word]=value + return out + + +def main(): + p=argparse.ArgumentParser();p.add_argument('--word',type=Path,required=True) + p.add_argument('--blocks',type=Path);p.add_argument('--inventory',type=Path,required=True) + p.add_argument('--recover-cold',action='store_true') + p.add_argument('--framed-word',type=Path) + p.add_argument('--output',type=Path,required=True);a=p.parse_args();start=time.monotonic() + w=json.loads(gzip.decompress(a.word.read_bytes()));blocks=json.loads(a.blocks.read_text())['sources'][0]['blocks'] if a.blocks else [] + inv=json.loads(a.inventory.read_text());pairs=inv['pairs'] + assert len(pairs)==80 and sum(x['low'] for x in pairs)==32 + assert all(x.get('handoff_paid_rank',0)==0 for x in pairs) + v=w['v'];n=2*v+w['R'];full=span([1<>i)&1)<>j&1);a[j],a[k]=a[k],a[j] + for i in range(n): + if i!=j and a[i]>>j&1:a[i]^=a[j] + assert [r&((1<>n for r in a) +def basis_extend(cols,n): + out=[] + for x in list(cols)+[1<len(out):out.append(x) + assert len(out)==n + return tuple(out) +def nullspace(rows,n): + a=list(rows);p=[];k=0 + for j in range(n): + t=next((i for i in range(k,len(a)) if a[i]>>j&1),None) + if t is None:continue + a[t],a[k]=a[k],a[t] + for i in range(len(a)): + if i!=k and a[i]>>j&1:a[i]^=a[k] + p.append(j);k+=1 + return tuple((1<>j)&1)<>i&1:out=pmul(out,T[i]) + for i in range(n): + if z>>i&1:out=pmul(out,T[n+i]) + return out +def compose(A,B):return tuple(apply(A,p) for p in B) +def inverse(T): + n=len(T)//2;cols=[x|(z<>n;u,v,p=apply(T,(x,z,0));assert (u,v)==identity(n)[j][:2];out.append((x,z,(-p)%4)) + return tuple(out) +def qvalue(Q,alpha,x,n): + return (sum(alpha[i] for i in range(n) if x>>i&1)+2*sum(parity((Q[i]>>(i+1))&(x>>(i+1))) for i in range(n) if x>>i&1))%4 +def mul_i(a,p): + x,y=a;p%=4 + return [(x,y),(-y,x),(-x,-y),(y,-x)][p] +@dataclass +class Op: + n:int + tab:tuple + circuit:list + def then(self,b): + assert self.n==b.n + return Op(self.n,compose(b.tab,self.tab),self.circuit+b.circuit) + def adjoint(self): + circ=[] + for e in reversed(self.circuit): + if e[0]=='P':circ.append(('P',inv(e[1],self.n))) + elif e[0]=='D':circ.append(('D',e[1],tuple((-x)%4 for x in e[2]))) + elif e[0]=='C':circ.append(('C',e[1],-e[2])) + elif e[0]=='phase':circ.append(('phase',(-e[1])%4)) + else:circ.append(e) + return Op(self.n,inverse(self.tab),circ) + def zero_state(self,basis=0): + N=1<>i)&1 for i in range(n)) + assert all(alpha[i]%2==(Q[i]>>i)&1 for i in range(n)) + return Op(n,tuple([(1<>i&1 else 0,1<>i&1 else 0) for i in range(n)]),[('C',q,sgn)]) +def xgate(n,b):return Op(n,tuple([(1<>i)&1)) for i in range(n)]),[('X',b)]) +def fourier(n,axes=None): + out=ident(n) + for i in range(n) if axes is None else axes:out=out.then(cgate(n,1<len(selected):picks.append(j);selected.append(x) + assert len(picks)==r and all(x>>r==0 for x in Bcols) + Br=transpose(selected,r);Bi=inv(Br,r);Dr=transpose([Dcols[j]&((1<> j) & 1) << i for i, row in enumerate(matrix)) for j in range(len(matrix))) + + +def inverse(matrix): + n = len(matrix) + rows = [row | (1 << (n+i)) for i, row in enumerate(matrix)] + for j in range(n): + pivot = next((i for i in range(j, n) if rows[i] >> j & 1), None) + require(pivot is not None, 'singular binary chart') + rows[j], rows[pivot] = rows[pivot], rows[j] + for i in range(n): + if i != j and rows[i] >> j & 1: + rows[i] ^= rows[j] + require([row & ((1 << n)-1) for row in rows] == [1 << i for i in range(n)], 'binary inverse') + return tuple(row >> n for row in rows) + + +def extend(vectors, n): + columns, pivots = [], {} + for value in tuple(vectors) + tuple(1 << i for i in range(n)): + reduced = value + while reduced: + j = reduced.bit_length()-1 + if j not in pivots: + pivots[j] = reduced + columns.append(value) + break + reduced ^= pivots[j] + require(len(columns) == n, 'frame basis extension') + return tuple(columns) + + +def adjoint(circuit): + out = [] + for gate in reversed(circuit): + if gate[0] == 'P': + out.append(('P', inverse(gate[1]))) + elif gate[0] == 'D': + out.append(('D', gate[1], tuple(-a % 4 for a in gate[2]))) + elif gate[0] == 'C': + out.append(('C', gate[1], -gate[2])) + elif gate[0] == 'phase': + out.append(('phase', -gate[1] % 4)) + else: + require(gate[0] == 'X', 'adjoint gate type') + out.append(gate) + return tuple(out) + + +def fourier(rank): + return tuple(('C', 1 << i, 1) for i in range(rank)) + + +def frame(vectors, n): + rank = len(vectors) + if rank == 0: + return () + if rank == n: + return fourier(n) + matrix = transpose(extend(vectors, n)) + columns = transpose(inverse(matrix)) + quadratic = tuple((1 << i) ^ sum(parity(a & b) << j for j, b in enumerate(columns)) for i, a in enumerate(columns)) + diagonal = tuple((row >> i) & 1 for i, row in enumerate(quadratic)) + chart = (('P', matrix), ('D', quadratic, diagonal)) + return adjoint(chart) + fourier(rank) + chart + + +def monomial(record): + matrix = tuple(record['matrix_rows']) + quadratic = tuple(record['quadratic_rows']) + linear = tuple(record['linear_Z4']) + require(transpose(quadratic) == quadratic, 'quadratic symmetry') + require(len(matrix) == len(quadratic) == len(linear) == 9, 'monomial dimension') + require(all(a % 2 == (quadratic[i] >> i) & 1 for i, a in enumerate(linear)), 'diagonal parity') + inverse(matrix) + return (('D', quadratic, linear), ('P', matrix), ('X', record['offset']), ('phase', record['phase'])) + + +def recipe(record): + rank = record['rank'] + require(isinstance(rank, int) and 0 <= rank <= 9, 'child rank') + if rank == 0: + require(record['right'] is None, 'rank zero right factor') + return monomial(record['left']) + return monomial(record['right']) + fourier(rank) + monomial(record['left']) + + +def tableau(circuit, n=9): + rows = [(1 << i, 0, 0) for i in range(n)] + [(0, 1 << i, 0) for i in range(n)] + for gate in circuit: + tag = gate[0] + out = [] + inverse_transpose = transpose(inverse(gate[1])) if tag == 'P' else None + for x, z, phase in rows: + if tag == 'P': + x, z = mul(gate[1], x), mul(inverse_transpose, z) + elif tag == 'X': + phase += 2 * parity(z & gate[1]) + elif tag == 'C': + if parity(z & gate[1]): + x ^= gate[1] + phase += 3 * gate[2] + elif tag == 'D': + quadratic, linear = gate[1:] + phase += sum(linear[i] for i in range(n) if x >> i & 1) + phase += 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(n) if x >> i & 1) + z ^= mul(quadratic, x) + else: + require(tag == 'phase', 'tableau gate type') + out.append((x, z, phase % 4)) + rows = out + return tuple(rows) + + +@lru_cache(maxsize=512) +def action(gate): + if gate[0] == 'P': + return tuple(mul(gate[1], x) for x in range(512)) + require(gate[0] == 'D', 'state action type') + quadratic, linear = gate[1:] + return tuple((sum(linear[i] for i in range(9) if x >> i & 1) + + 2 * sum(parity((quadratic[i] >> (i+1)) & (x >> (i+1))) for i in range(9) if x >> i & 1)) % 4 for x in range(512)) + + +def rotate(pair, power): + a, b = pair + return ((a, b), (-b, a), (-a, -b), (b, -a))[power % 4] + + +def state(circuit, basis=0): + value, denominator = {basis: (1, 0)}, 0 + for gate in circuit: + tag = gate[0] + result = {} + if tag == "C": + direction, sign = gate[1:] + for address, (a, b) in value.items(): + for target, pair in ((address, (a - sign*b, b + sign*a)), + (address ^ direction, (a + sign*b, b - sign*a))): + old = result.get(target, (0, 0)) + result[target] = (old[0] + pair[0], old[1] + pair[1]) + denominator += 1 + else: + for address, pair in value.items(): + if tag == "P": + target = mul(gate[1], address) + elif tag == "X": + target = address ^ gate[1] + else: + target = address + if tag == "D": + pair = rotate(pair, action(gate)[address]) + else: + require(tag == "phase", "Unknown Gaussian state gate") + pair = rotate(pair, gate[1]) + require(target not in result, "A monomial address map is not injective") + result[target] = pair + value = {address: pair for address, pair in result.items() if pair != (0, 0)} + while denominator and all((a | b) % 2 == 0 for a, b in value.values()): + denominator -= 1 + value = {address: (a//2, b//2) for address, (a, b) in value.items()} + return value, denominator + + +def equal(actual, expected, label): + require(tableau(actual) == tableau(expected), label + ": signed Pauli action") + require(state(actual) == state(expected), label + ": exact global phase") + + +def verify(data, certificate): + word = data["word"] + original, clean = data["programs"], data["clean_programs"] + source_recipes = data["recipes"] + residuals = data["residuals"]["recipes"] + native_tags = {"climb", "adapter", "residual_adapter"} + for orientation in ("forward", "backward"): + native = [event for event in clean[orientation] if event[0] in native_tags] + require(native == [event for event in original[orientation] if event[0] in native_tags], + "A retained native event changed") + require(len(native) == 5056, "The retained native event count changed") + frames = [frame(tuple(vectors), 9) for vectors in word["frames"]] + used = {(event[3], event[4]) for program in clean.values() + for event in program if event[0] == "climb"} + children = {(record["old"], record["new"]): record for record in source_recipes["children"]} + require(len(children) == len(source_recipes["children"]) and used <= set(children), + "The retained child recipe coverage is incomplete") + for old, new in sorted(used): + record = children[old, new] + require(record["rank"] == len(word["frames"][new]) - len(word["frames"][old]), + "A retained child has the wrong rank") + equal(recipe(record), adjoint(frames[old]) + frames[new], "Retained child") + endpoints = {(record["role"], record["port"]): record + for record in source_recipes["endpoint_adapters"]} + require(len(endpoints) == len(source_recipes["endpoint_adapters"]) + and set(endpoints) == {(role, p) for role in ("source", "target") for p in range(112)}, + "The endpoint adapter coverage is incomplete") + for (role, port), record in endpoints.items(): + direction = word["ports"][port] + conventional = (("C", direction, 1),) if role == "source" else ( + ("C", direction, -1),) + fourier(9) + index = word["start"][port] if role == "source" else word["final"][112 + port] + require(record["frame"] == index and record["rank"] == 0, "An endpoint frame changed") + equal(recipe(record), adjoint(conventional) + frames[index], "Endpoint adapter") + used_residuals = set() + for program in clean.values(): + for event in program: + if event[0] != "residual_adapter": + continue + _, position, register, entry, *tail = event + terminal = tail[0] if tail else 1 + key = str(entry) if terminal == 1 else str(entry) + ":" + str(terminal) + require(key in residuals and position in ("pre", "post"), "A residual binding changed") + require(entry == word["start"][register] and terminal == word["final"][register], + "A residual endpoint changed") + used_residuals.add(key) + for key in sorted(used_residuals): + record = residuals[key] + equal(recipe(record), adjoint(frames[record["frame"]]) + frames[record.get("terminal", 1)], + "Residual adapter") + records = certificate["input_recipes"] + ports = certificate["compensation_ports"] + require([record["port"] for record in records] == ports and len(records) == 8, + "The eight input recipes changed") + columns = 0 + for item in records: + port, label = item["port"], item["label"] + require(label == word["ports"][port] and item["canonical_start_frame_id"] == word["start"][port], + "An input recipe has the wrong supplier label") + record = item["recipe"] + require(record["rank"] == 1, "An input copy has the wrong child rank") + for side in ("left", "right"): + factor = record[side] + require(factor["quadratic_rows"] == [0] * 9 and factor["linear_Z4"] == [0] * 9 + and factor["offset"] == factor["phase"] == 0, + "An input factor is not an address permutation") + actual, expected = recipe(record), (("C", label, 1),) + equal(actual, expected, "Positive inherited input line") + for basis in range(512): + require(state(actual, basis) == state(expected, basis), "A complete input Gaussian column differs") + columns += 1 + negative = monomial(record["right"]) + (("C", 1, -1),) + monomial(record["left"]) + require(tableau(negative) != tableau(expected) or state(negative) != state(expected), + "An inverse input child was not detected") + phased = actual + (("phase", 1),) + require(tableau(phased) == tableau(actual) and state(phased) != state(expected), + "An input phase-only error was not detected") + return {"status": "PASS_EXACT_INPUT_NATIVE_FRAMES", "retained_native_events_per_orientation": 5056, + "retained_child_recipes": len(used), "endpoint_adapter_recipes": len(endpoints), + "residual_adapter_recipes": len(used_residuals), "new_input_recipes": len(records), + "new_exact_gaussian_columns": columns, "inverse_input_child_controls": len(records), + "phase_only_controls": len(records), "address_permutation_factors": 2 * len(records), + "method": "Independent signed Pauli and exact Gaussian interpretation; no compiler import", + "scope": "Positive inherited input frames before every retained adapter. No recursive hosting claim."} diff --git a/research/selective-borrowing-kappa/local/verify.py b/research/selective-borrowing-kappa/local/verify.py new file mode 100644 index 0000000000..82a6d51d17 --- /dev/null +++ b/research/selective-borrowing-kappa/local/verify.py @@ -0,0 +1,137 @@ +"""Independent read-only exact local admission of a concrete borrowing variant.""" +import argparse +import copy +import gzip +import hashlib +import json +import sys +from pathlib import Path +from fractions import Fraction + +HERE=Path(__file__).resolve().parent +sys.path.insert(0,str(HERE)) +import native as C +from check_trace import run as replay +from precision import calculate + +def need(condition,label): + if not condition:raise ValueError(label) + +def rejected(function,label): + try:function() + except (ValueError,KeyError,AssertionError,StopIteration):return label + raise ValueError('mutation was accepted: '+label) + +def check_native(trace,native): + jobs,events,residuals=C.make_jobs(trace,literal_bound=True) + need(set(native['records'])==set(jobs),'complete native operation coverage') + need(native['event_recipe_refs']==events,'actual chronological native occurrence binding') + need(native['helper_residual_refs']==residuals,'actual relative helper binding') + for key,job in jobs.items(): + record=native['records'][key] + need(record['kind']==job['kind'],'native instruction kind') + need(json.loads(json.dumps(job['metadata']))==record['metadata'],'native frame/symbol metadata') + need(json.loads(json.dumps(job['actual'].circuit))==record['literal_expected'],'actual physical expected circuit') + need(record['recipe']['rank']==job['rank'],'actual paid Fourier rank') + C.N.equal(C.N.recipe(record['recipe']),tuple(job['actual'].circuit),'fresh independent native replay') + return jobs + +def check_wrappers(trace,native,wrappers): + helpers=wrappers['helpers'] + need(set(helpers)==set(native['helper_residual_refs']),'complete relative helper wrapper coverage') + for register,w in helpers.items(): + key=native['helper_residual_refs'][register];record=native['records'][key] + recipe=record['recipe'];endpoint=trace['endpoints'][register] + need(w['relative_native_ref']==key and w['width']==recipe['rank'],'actual helper wrapper binding') + need(w['initial']==endpoint['initial'] and w['final']==endpoint['final'],'actual nonzero helper entry/exit frames') + pre=C.N.adjoint(C.N.monomial(recipe['right']));post=C.N.adjoint(C.N.monomial(recipe['left'])) + need(json.loads(json.dumps(pre))==w['prewrapper'] and json.loads(json.dumps(post))==w['postwrapper'],'literal inverse monomial wrapper factors') + operation=C.chart(C.canonical(endpoint['initial'])).adjoint().then(C.chart(C.canonical(endpoint['final']))) + C.N.equal(pre+tuple(operation.circuit)+post,C.N.fourier(recipe['rank']),'normalized complete helper spectators and phase') + data=wrappers['data'];need(len(data)==224 and {e['register'] for e in data}==set(range(224)),'complete intrinsic data adapter coverage') + for e in data: + endpoint=trace['endpoints'][str(e['register'])] + source=(e['register']<112) if trace.get('orientation')!='backward' else (112<=e['register']<224) + if source: + old=C.canonical(endpoint['initial']);need(len(old)==1,'source singleton') + p=old[0];operation=C.CE.cgate(9,p).adjoint().then(C.chart(old)) + need(e['role']=='source' and e['position']=='entry','source adapter placement') + else: + new=C.canonical(endpoint['final']);normal=C.canonical(C.CE.nullspace(new,9));need(len(normal)==1,'target hyperplane') + p=normal[0];intrinsic=C.CE.cgate(9,p,-1).then(C.CE.fourier(9)) + operation=C.chart(new).adjoint().then(intrinsic) + need(e['role']=='target' and e['position']=='exit','target adapter placement') + need(e['normal']==p and e['recipe']['rank']==0,'actual intrinsic point and monomial rank') + C.N.equal(C.N.recipe(e['recipe']),tuple(operation.circuit),'intrinsic data adapter exact phase') + return dict(helper_wrappers=len(helpers),intrinsic_data_adapters=len(data)) + +def main(): + parser=argparse.ArgumentParser();parser.add_argument('--data',dest='variant',type=Path,default=HERE/'data');parser.add_argument('--out',type=Path) + args=parser.parse_args();reports={};hashes={};controls=[];postlude_reports={} + package=HERE.parent.resolve() + if args.out: + target=args.out.resolve() + need(target!=package and package not in target.parents,'receipt output must be outside the read-only package') + for pin in json.loads((HERE/'SOURCE-PINS.json').read_bytes())['files']: + need(hashlib.sha256((HERE/pin['path']).read_bytes()).hexdigest()==pin['sha256'],'portable source drift: '+pin['path']) + postludes=json.loads((args.variant/'postludes.json').read_bytes()) + for orientation in ('forward','backward'): + trace_path=args.variant/(orientation+'.json') + native_path=args.variant/('native-'+orientation+'.json.gz') + trace=json.loads(trace_path.read_bytes());native=json.loads(gzip.decompress(native_path.read_bytes())) + report=replay(trace);jobs=check_native(trace,native) + wrapper_path=args.variant/('wrappers-'+orientation+'.json') + wrappers=json.loads(wrapper_path.read_bytes()) + need(wrappers['trace_sha256']==hashlib.sha256(trace_path.read_bytes()).hexdigest(),'wrapper exact trace source binding') + need(wrappers['native_payload_sha256']==hashlib.sha256(gzip.decompress(native_path.read_bytes())).hexdigest(),'wrapper exact native payload binding') + report['wrappers']=check_wrappers(trace,native,wrappers) + report['native_jobs']=len(jobs);report['precision']=calculate(trace) + reports[orientation]=report + postlude=postludes[orientation] + private={e[1] for e in trace['events'] if e[0] in ('copy','zero_buffer')} + need(len(postlude)==len(private)==76 and {e[1] for e in postlude}==private,'exact complete owned-array CLEAR postlude') + need(all(e[0]=='clear' for e in postlude),'postlude has only actual exact CLEAR instructions') + composed=copy.deepcopy(trace);composed['events'].extend(postlude) + composed_report=replay(composed) + need(composed_report['paid_profile']==report['paid_profile'],'CLEAR postlude adds no recursive child') + need(composed_report['private_fields']==76,'postlude preserves actual private stock') + postlude_reports[orientation]=dict(exact_clear_instructions=len(postlude), + complete_public_columns=composed_report['independent_input_columns'], + every_owned_private_array_returns_zero=True,extra_paid_children=0, + actual_composed_word_sha256=hashlib.sha256(json.dumps(composed['events'],separators=(',',':')).encode()).hexdigest()) + hashes[orientation+'_trace']=hashlib.sha256(trace_path.read_bytes()).hexdigest() + hashes[orientation+'_native_payload']=hashlib.sha256(gzip.decompress(native_path.read_bytes())).hexdigest() + for kind in ('transport','helper_residual'): + key=next(k for k,v in jobs.items() if v['kind']==kind) + bad=copy.deepcopy(native['records'][key]['recipe']) + bad['left']['phase']=(bad['left']['phase']+1)%4 + controls.append(rejected(lambda:C.N.equal(C.N.recipe(bad),tuple(jobs[key]['actual'].circuit),'mutated phase'),orientation+'_'+kind+'_phase')) + if orientation=='forward': + bad=copy.deepcopy(trace) + event=next(e for e in reversed(bad['events']) if e[0]=='add' and 112<=e[1]<224) + event[3]=str(-Fraction(event[3])) + controls.append(rejected(lambda:replay(bad),'wrong_last_target_coefficient')) + bad=copy.deepcopy(trace) + index=next(i for i,e in enumerate(bad['events']) if e[0]=='handoff') + del bad['events'][index] + controls.append(rejected(lambda:replay(bad),'missing_actual_reference_change')) + bad=copy.deepcopy(native) + index=next(i for i,r in enumerate(bad['event_recipe_refs']) if r) + bad['event_recipe_refs'][index]=None + controls.append(rejected(lambda:need(bad['event_recipe_refs']==C.make_jobs(trace,literal_bound=True)[1],'binding changed'),'missing_native_occurrence_binding')) + print('PASS_INDEPENDENT_'+orientation.upper()+'_LOCAL_WORD',len(jobs),'native jobs',flush=True) + result=dict(status='PASS_COMPLETE_TWO_ORIENTATION_LOCAL_NATIVE_VARIANT', + reports=reports,source_hashes=hashes,negative_controls=controls, + exact_owned_clear_postludes=postlude_reports, + source_compiler_sha256=hashlib.sha256((C.VENDOR/'clifford_exact.py').read_bytes()).hexdigest(), + independent_native_interpreter_sha256=hashlib.sha256((C.VENDOR/'native_verify.py').read_bytes()).hexdigest(), + scope='Exact finite local words, arbitrary dirty logical restoration, owned-zero scratch and all actual native phase bindings. Whole-call owners, physical finite invoice, exact completed-child depth/precision admission, tape and all-size transfer remain separate.') + expected=json.loads((args.variant/'expected-local.json').read_bytes()) + for key in ('reports','source_hashes','negative_controls','source_compiler_sha256','independent_native_interpreter_sha256'): + need(json.loads(json.dumps(result[key]))==expected[key],'canonical exact local receipt mismatch: '+key) + if args.out: + args.out.parent.mkdir(parents=True,exist_ok=True) + args.out.write_text(json.dumps(result,indent=2)+'\n',encoding='utf-8') + print('PASS_PORTABLE_LOCAL_NATIVE_AND_EXACT_PRIVATE_POSTLUDE',len(controls),'fault controls',flush=True) + +if __name__=='__main__':main() diff --git a/research/selective-borrowing-kappa/owners/CHARTS.json.gz b/research/selective-borrowing-kappa/owners/CHARTS.json.gz new file mode 100644 index 0000000000..3f41867c60 Binary files /dev/null and b/research/selective-borrowing-kappa/owners/CHARTS.json.gz differ diff --git a/research/selective-borrowing-kappa/owners/EXPECTED.json b/research/selective-borrowing-kappa/owners/EXPECTED.json new file mode 100644 index 0000000000..4997a677ba --- /dev/null +++ b/research/selective-borrowing-kappa/owners/EXPECTED.json @@ -0,0 +1,49 @@ +{ + "status": "PASS_INDEPENDENT_ACTUAL_OWNER_CHARTS", + "roles": 31392, + "helpers_per_call": 436, + "actual_source_data_families_per_call": 224, + "actual_73column_charts": 7150, + "relative_endpoint_types": 26, + "entering_helper_roles": 14112, + "cross_replica_roles": 25555, + "derived_windows": 160, + "chart_digest": "19d3fd513eed08d51bbc348b9c83ed7806d551102b4288bdaec7a72a183e5abe", + "idle": { + "1": 1724, + "3": 20, + "5": 1469, + "6": 18, + "7": 494, + "32": 11, + "39": 7, + "48": 2493 + }, + "profile": { + "1": 176252, + "2": 30096, + "3": 30908, + "4": 10152, + "5": 4493, + "6": 18, + "7": 494, + "8": 576, + "32": 11, + "39": 7, + "48": 2493 + }, + "paid_mass": 520704, + "deficit": 2560, + "owners_sha256": "892b49f97d4caa7e92918262ea3a8cfa8cbf273c92d574ae53bb89a61ee5e847", + "source_trace_sha256": "a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee", + "parent_template_sha256": "f713f8e66aaeaebb8202fe72bf36c7d23497152497342c27892e0fda3092f95b", + "source_plan_sha256": "7b3122026e82b9d9e964d2a50c7bffdc976ae3dfea64bb98b2fdad5cfbdbaa20", + "actual_DATA_PHASES_sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "controls_rejected": [ + "wrong-copy-index", + "wrong-family", + "overflow-offset", + "wrong-width", + "omitted-role" + ] +} diff --git a/research/selective-borrowing-kappa/owners/NOTICE.md b/research/selective-borrowing-kappa/owners/NOTICE.md new file mode 100644 index 0000000000..83a204ca95 --- /dev/null +++ b/research/selective-borrowing-kappa/owners/NOTICE.md @@ -0,0 +1,19 @@ +# Ownership certificate attribution + +The new contribution is the selected 72-call whole-family owner assignment, +canonical physical-family metadata, source-bound touch-window reconstruction, +explicit 73-column orthogonal charts and independent read-only verifier. +This contribution was developed with OpenAI GPT-6 Astra and Codex assistance. + +The inherited Gauge44 parent and PLAN are retained byte-identically from +[PR1005](https://github.com/CrocSwap/integer-mult-bounds/pull/1005), credited to +icekylinx with the ancestry and AI disclosures preserved in +`notices/PR1005-NOTICE.md` and `notices/PR1005-UPSTREAM-NOTICE.md`. +The exact DATA-PHASES is the source pinned by that parent and its upstream pins; +the selected original local word is retained by the local package. Source paths, +commit references, and hashes appear in `SOURCES.json`. + +Apache-2.0 applies. The complete inherited license is `notices/LICENSE`. +No upstream credit, license, source pin or conditional scope is replaced by this +notice. The finite certificate and its replay do not claim to discharge the +retained all-size multiplication interfaces. diff --git a/research/selective-borrowing-kappa/owners/OWNERS.json.gz b/research/selective-borrowing-kappa/owners/OWNERS.json.gz new file mode 100644 index 0000000000..912df33d6e Binary files /dev/null and b/research/selective-borrowing-kappa/owners/OWNERS.json.gz differ diff --git a/research/selective-borrowing-kappa/owners/SOURCES.json b/research/selective-borrowing-kappa/owners/SOURCES.json new file mode 100644 index 0000000000..9d64a09e82 --- /dev/null +++ b/research/selective-borrowing-kappa/owners/SOURCES.json @@ -0,0 +1,74 @@ +{ + "schema": "selective-borrowing-owner-sources/1", + "inputs": [ + { + "path": "OWNERS.json.gz", + "sha256": "892b49f97d4caa7e92918262ea3a8cfa8cbf273c92d574ae53bb89a61ee5e847" + }, + { + "path": "CHARTS.json.gz", + "sha256": "a7971424df309a4191754bb001cea442282f6e769385a5966bbd14d6071899ce" + }, + { + "path": "inputs/HOSTED-PARENT.json.gz", + "sha256": "f713f8e66aaeaebb8202fe72bf36c7d23497152497342c27892e0fda3092f95b" + }, + { + "path": "inputs/PLAN.json", + "sha256": "7b3122026e82b9d9e964d2a50c7bffdc976ae3dfea64bb98b2fdad5cfbdbaa20" + }, + { + "path": "inputs/DATA-PHASES.json", + "sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + { + "path": "notices/LICENSE", + "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4" + }, + { + "path": "notices/PR1005-NOTICE.md", + "sha256": "7a8d17b04da1e6c9d0ec217fb5bda72faa09d9a21695128722dd1e2827870fcf" + }, + { + "path": "notices/PR1005-UPSTREAM-NOTICE.md", + "sha256": "a75967ebc34e3bf2ff2c25c08e6c7f1a61b0c0d171cfd1b62196ae2caaf2c610" + }, + { + "path": "../local/data/forward.json", + "sha256": "a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee" + }, + { + "path": "../local/inputs/selected-complex-word.json.gz", + "sha256": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + } + ], + "upstream": { + "pr1005": { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/1005", + "repository": "jeremykothe2/integer-mult-bounds", + "head": "779e80aef469bc3a28b19f1adde199871a9a22e3", + "retained_paths": { + "inputs/HOSTED-PARENT.json.gz": "research/gauge44-leaver8/evidence/global/GLOBAL-TEMPLATE.json.gz", + "inputs/PLAN.json": "research/gauge44-leaver8/data/PLAN.json", + "notices/LICENSE": "research/gauge44-leaver8/LICENSE", + "notices/PR1005-NOTICE.md": "research/gauge44-leaver8/NOTICE.md", + "notices/PR1005-UPSTREAM-NOTICE.md": "research/gauge44-leaver8/UPSTREAM-NOTICE.md" + } + }, + "data_phases": { + "path": "research/community-k492-audit/pr622/replay/baseline558/complex-global/base/work/complex-nine-native/DATA-PHASES.json", + "binding": "exact source hash retained in PR1005 UPSTREAM-PINS.json and HOSTED-PARENT exact_data_phase_recipe_sha256" + }, + "local_word": { + "base_commit": "697b00e5d36297563c22aac080dd5dee398c2624", + "path": "research/complex-block-rank-optimum/inputs/selected.json.gz", + "git_blob": "5f9ef680983b0b63a4c82a4ed909837b78e690cd", + "binding": "retained byte-identical through PR2226 input selected-complex-word.json.gz" + } + }, + "new_artifacts": { + "OWNERS.json.gz": "Actual 72-call whole-family assignment; copy ABI canonicalized before all final checks.", + "CHARTS.json.gz": "Independently reconstructed complete physical charts, routes, and nonzero idle suffixes. Empty-child translations remain in the complete inherited parent, not this rank-factor-only chart view." + }, + "source_policy": "Pinned upstream input bytes and notices are retained. The verifier regenerates the certificate from the actual parent execution schedule and actual DATA-PHASES, importing no search or optimizer module." +} diff --git a/research/selective-borrowing-kappa/owners/inputs/DATA-PHASES.json b/research/selective-borrowing-kappa/owners/inputs/DATA-PHASES.json new file mode 100644 index 0000000000..d9a4f84211 --- /dev/null +++ b/research/selective-borrowing-kappa/owners/inputs/DATA-PHASES.json @@ -0,0 +1 @@ +{"cover_correction":{"complete_small_cover_checks":[{"n":1,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":1},{"n":2,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":2},{"n":3,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":6},{"n":4,"nonzero_full_kernel_corrections":24,"orthogonal_matrices":48},{"n":5,"nonzero_full_kernel_corrections":600,"orthogonal_matrices":720}],"formula":"delta(g)_i = (weight(row_i(g))-1)/2 mod 2; apply X_delta(g) to EVERY final live stream in cover class g.","mandatory":true,"reason":"P_g C_all P_g^-1 = C_all X_delta(g) exactly. Orthogonality cancels all quadratic cross terms; both sides fix the uniform vector."},"global_phase_argument":"Every C_q and every linear address permutation fixes the uniform vector. Equality of the exact Z4 Fourier multiplier therefore fixes the scalar phase as 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"935ff1a6823c6625daba3349b28d74acf9a3d70a5947ae155aa66c7821804add" +} diff --git a/research/selective-borrowing-kappa/owners/notices/LICENSE b/research/selective-borrowing-kappa/owners/notices/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/selective-borrowing-kappa/owners/notices/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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Apache-2.0 applies; +the license is included. The full original PR635 notice is preserved as +UPSTREAM-NOTICE.md and construction/UPSTREAM-NOTICE.md. + +The new contribution is the changed source-branch gauge and retired-row +completion, source-carried coordinate totals, exact 44-cold-end realization, +and explicit all72 whole-family assignment using concave capacity matching +with integer majorization certificates. The center-carrier generalization +retains the exact ordered common frames and complete native local contract. +Independent local, price, interface and owner fixed-point checks are included. + +The construction retains the credited PR635 K-triangle and porting machinery, +earlier joint-prefix/HPE/frame ancestry and icekylinx's prior factory work. +#645 used the same cited PR543 bit supplier as PR635. This package (research/gauge44-leaver8) cites the merged PR589 bit supplier instead, with a derived rank-mass deficit (PROOF-NOTE-BIT.md); #645's retained PR543-based evidence is historical. It builds #645's word without K-triangles (PartialK) and stacks earlier community jp8 layers on it (G44Stack), adds the p6n ends (NoTriReopen), entrance promotions (BlockInvert) a read-set exchange (BRoute), chafreaky's #741 frames, JointXF's joint exchange, NewBArch's triangle-hybrid B rewrite and LeaverSAT's eight k8 leaver cells (with LeaverSAT2's frame re-optimisation); see README. All-size, realization, +hosting, precision/tape, analytic-transfer and bit H1-H5 assumptions remain +conditional. No upstream license, credit, source pin or AI disclosure is +replaced by this notice. + +PR641 and PR642 were checked as concurrent reported frontier comparisons. +Their endpoints and owner maps are not included here. See CONSTRUCTION.md, +hosting/PROOF.md, independent/ and README.md for the exact contribution scope. diff --git a/research/selective-borrowing-kappa/owners/notices/PR1005-UPSTREAM-NOTICE.md b/research/selective-borrowing-kappa/owners/notices/PR1005-UPSTREAM-NOTICE.md new file mode 100644 index 0000000000..ebc24a0168 --- /dev/null +++ b/research/selective-borrowing-kappa/owners/notices/PR1005-UPSTREAM-NOTICE.md @@ -0,0 +1,34 @@ +# Attribution and scope + +Four verified provider types are offered to every call: PR571's prefix word with twelve multi-cut cold kernels (PR568's unchanged constructor), the same word with forty width-five entrance promotions (PR569's unchanged frame constructor) before those kernels, PR575's plain joint-prefix provider, and PR568's eight-cold provider. A window MILP with an exact per-pattern model chooses the dispatch and a literal owner map. PR583's six source-bound kernel frame coalescences (its unchanged constructor and negative controls) are applied to every PR571-prefix provider word (ck and atm3), followed by two further coalescences that each first move one addition past two commuting additions (package code/build_gate_moves.py, extending PR583's constructor); a final hyperplane_end step (package code/build_hpe.py) then runs 46 single-gate cleanups h -= p right after part B at the dim-8 join U of their registers, so 46 width-8 entering helpers per call end at U with width 7; each such gate commutes with every earlier cleanup gate on its registers (for 8 of them the partner's one earlier gate x -= p only reads p), and the reordered program is replayed exactly. A window MILP (exact windows, RINS around an LP vertex) gives the dispatch ck 45 / atm3 21 / jp8 6 and the literal owner map. + +Pinned external sources (unchanged; `verify.py` checks their manifests and every file it uses): +- PR568 (`research/complex-multicold`, commit `71c99ac935a33bb7b59a1b4a7af8725a939b0b90`). +- PR571 (`research/structural-gain`, commit `b7bdc5a8de18fcf418cfb9c7d83a2b1097a5e4a3`). +- PR569 (`research/larger-gain`, commit `897213a855b7fb8a1b8b0e552a2f5c42e6c1b326`). +- PR575 (`research/complex-joint-prefix`, commit `eac6f7e378ab622dac50a2fd4b7ef6eab014de44`). +- PR583 (`research/kernel-frame-coalescing`, commit `89be768f0157f5a3d8e4db69cf1748768605eac9`). + +Provider construction is described as typed steps in `data/SPEC.json` (`build`); `verify.py` runs only allowlisted step types with their paired omission audits and checks every input and output content hash. `code/` holds the spec-driven global admission scripts adapted from PR571's `frontier-composition/global-code/` (OpenAI Codex assisted, Apache-2.0): every expected value is read from `data/SPEC.json` and compared only after independent recomputation. `code/generated_identity.py` and `code/generated_identity_controls.py`, and the decompressed-content artifact identities in the bind, audit, invoice, assembly and phase-timing scripts, are taken unchanged from PR586 by chafreaky (`research/promoted-kernel-coalescing`, commit `4846fee5b06af770e9b3a10c36200f673d656725`, OpenAI Codex assisted, Apache-2.0), including its proof-content and reference/metadata mutation controls; the normalization of descriptive width metadata after frame changes follows the same PR. + +In PR601, the owner map was nominated by a HiGHS window MILP (adapted from PR569's `global/nominate_width7.py`) with lazy cross-time Hall cuts; this package's re-solved map is described below. Neither is an admission dependency. + +DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. (The PR601 package this one starts from states: "Prepared by Claude Code (Anthropic) research agents.") Apache-2.0 applies; LICENSE is included. All notices, licenses, source pins and AI disclosures of the pinned sources and their ancestry are retained in those packages and are not replaced by this notice. All inherited conditional assumptions remain conditional. + +**This package (complex-571-cold14, DreamingOfClouds).** It starts from PR601 (jeremykothe2, `research/complex-571-hpem46`, commit `529ab7dcb59d5ea7a5798e9e06cf5b3aee8a1550`). Everything above is kept unchanged except the following: +- every provider chain (ck, atm3, jp8) gains the typed step `cold_end` (`code/build_cold_end.py`, `code/cold_end_controls.py`; recipes `data/recipes/*-cold_end.json.gz`); +- the generalised native chain and the global admission scripts accept cold helpers that end below FULL (with `0:U` wrappers), a refactored exact cleanup, and check the wrapper order; +- `data/PLAN.json` / `data/OWNERS.json.gz` (dispatch and literal owner map) come from a relocate/swap/ejection-chain/provider-flip annealing search started from PR601's map, refined by an exact pattern-restricted owner model (CP-SAT) with a literal edge-colouring expansion (not an admission dependency); +- `data/SPEC.json` holds the expected values, recorded by a discovery run and then checked by a strict run. + +The cold-end construction (a row-plus-column cone condition for low-frame ends, a rank-0 dirt-spread premix and multi-gate lower-frame cleanup) builds on PR591 / PR592 / PR593 / PR601 (jeremykothe2) and our PR599 (Lean: multi-gate and cold hyperplane-end tails). DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. Build on this at your own risk. + +**This package (complex-571-cold14-b3, jeremykothe2).** It is PR604's `complex-571-cold14` (DreamingOfClouds) with ColdBeyond's second cold end per block (two new `cold_end` A-gate primitives, `PROOF-NOTE.md`), ColdSupply's E1 entering pair and reviewed controls, a free dispatch (jp8 ×60, atm3 ×12) and a literal owner map from an exact per-time-Hall window MIP. All other construction, code, controls and proofs are PR604's and earlier contributors', unchanged. + +**This package (complex-571-cold14-k492).** It is complex-571-cold14-b3 with these changes: +- **K-triangle base words.** The leaver-read K-triangle skeleton atom and its read schedule (`data/TRI-SCHEDULE.json`) are by AtomScout, a Claude Code research agent. `code/construct_k_triangle.py` is PR531's `code/construct_504.py` (icekylinx, OpenAI Codex / GPT assisted, Apache-2.0; pinned source `direct_delivery`) extended with that atom. +- **Ported chains.** The PR604/B3 chains are ported stage by stage onto the K-triangle words by `code/build_port_stage.py` (Port480, a Claude Code research agent). `code/build_frame_regroup.py` extends PR583's `build_frames.py` (chafreaky). +- **Helper count R.** The generalisation of the global scripts to the provider helper count R is by GlobalR (a Claude Code research agent), with AtomReviewer's fixes (PROOF-NOTE-R.md). +- **Owner map.** The owner map, the cold_end recipes on the K-triangle words and the package assembly are by Stack492, Port480 and ColdBeyond (Claude Code research agents). + +Build on this at your own risk. diff --git a/research/selective-borrowing-kappa/owners/verify.py b/research/selective-borrowing-kappa/owners/verify.py new file mode 100644 index 0000000000..3b6b9b0a3b --- /dev/null +++ b/research/selective-borrowing-kappa/owners/verify.py @@ -0,0 +1,154 @@ +"""Independent full literal ownership and physical orthogonal chart reconstruction. + +Consumes source DATA-PHASES, actual serialized parent schedule and fixed local +endpoint trace. Imports no emitter, optimizer, flow or upstream audit module. +""" +from collections import Counter,defaultdict +from pathlib import Path +import argparse,gzip,hashlib,json,copy + +HERE=Path(__file__).resolve().parent +PACKAGE=HERE.parent +BASE=HERE/'inputs' +PHASE=BASE/'DATA-PHASES.json' +WORD=PACKAGE/'local/inputs/selected-complex-word.json.gz' +PINS={ + 'OWNERS.json.gz':'892b49f97d4caa7e92918262ea3a8cfa8cbf273c92d574ae53bb89a61ee5e847', + 'inputs/HOSTED-PARENT.json.gz':'f713f8e66aaeaebb8202fe72bf36c7d23497152497342c27892e0fda3092f95b', + 'inputs/PLAN.json':'7b3122026e82b9d9e964d2a50c7bffdc976ae3dfea64bb98b2fdad5cfbdbaa20', + 'inputs/DATA-PHASES.json':'c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa', + '../local/data/forward.json':'a9d513bc1d85eb11184d73242a4016119f3968bb2a1ff9b365e78109778c17ee', + '../local/inputs/selected-complex-word.json.gz':'16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219', +} + +def need(ok,msg): + if not ok:raise ValueError(msg) +def read(p):return json.loads(gzip.decompress(p.read_bytes())if p.suffix=='.gz'else p.read_bytes()) +def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest() +def span(xs): + out={0} + for x in xs:out|={z^x for z in list(out)} + return out +def basis(q): + zero=next(i for i in range(9)if not(q>>i&1));a=q^(1<>i&1 else 0)for i in order]+[1<=224}),entering_helper_roles=enters,cross_replica_roles=cross,derived_windows=len(c['windows']),chart_digest=digest.hexdigest(),idle=dict(sorted(idle.items())),profile=dict(sorted(profile.items())),paid_mass=mass,deficit=2560) + return result,dict(schema='actual-whole-owner-orthogonal-charts/1',unique_73column_charts=sigmas,whole_helper_routes=routes,actual_idle_complements=idle_rows) + +def main(): + parser=argparse.ArgumentParser(description=__doc__) + parser.add_argument('--out',type=Path,help='Optional external directory for regenerated receipt and chart certificate') + args=parser.parse_args() + if args.out is not None: + dest=args.out.resolve() + need(not dest.is_relative_to(PACKAGE.resolve()),'--out must be outside the published package') + need(not (dest/'OWNERS-RECEIPT.json').exists() and not (dest/'OWNERS-CHARTS.json.gz').exists(),'refuse to overwrite an existing replay receipt') + for rel,expected in PINS.items(): + need(sha(HERE/rel)==expected,'immutable source pin: '+rel) + owners=HERE/'OWNERS.json.gz' + trace=PACKAGE/'local/data/forward.json' + c=context(trace) + rows=read(owners) + result,charts=check(rows,c,True) + need(charts==read(HERE/'CHARTS.json.gz'),'complete regenerated physical chart certificate') + controls=[] + for name in ('wrong-copy-index','wrong-family','overflow-offset','wrong-width','omitted-role'): + bad=copy.deepcopy(rows) + if name=='wrong-copy-index':bad[0]['copy']+=112 + elif name=='wrong-family':bad[0]['family']+=1 + elif name=='overflow-offset':bad[0]['offset']=73 + elif name=='wrong-width':bad[0]['width']+=1 + else:bad.pop() + try:check(bad,c) + except (ValueError,KeyError):controls.append(name) + else:raise ValueError('owner mutation accepted: '+name) + result.update(owners_sha256=sha(owners),source_trace_sha256=sha(trace),parent_template_sha256=sha(c['parent_path']),source_plan_sha256=sha(BASE/'PLAN.json'),actual_DATA_PHASES_sha256=sha(PHASE),controls_rejected=controls) + # JSON round-trip normalizes integer rank keys to the public JSON ABI. + result=json.loads(json.dumps(result)) + need(result==read(HERE/'EXPECTED.json'),'complete expected mathematical receipt') + if args.out is not None: + dest.mkdir(parents=True,exist_ok=True) + (dest/'OWNERS-RECEIPT.json').write_text(json.dumps(result,indent=2)+'\n',encoding='utf-8') + (dest/'OWNERS-CHARTS.json.gz').write_bytes(gzip.compress(json.dumps(charts,sort_keys=True,separators=(',',':')).encode(),mtime=0)) + print(json.dumps(result,indent=2)) + +if __name__=='__main__':main() diff --git a/research/selective-borrowing-kappa/verify.py b/research/selective-borrowing-kappa/verify.py new file mode 100644 index 0000000000..a384dcbc48 --- /dev/null +++ b/research/selective-borrowing-kappa/verify.py @@ -0,0 +1,43 @@ +#!/usr/bin/env python3 +"""Fresh, read-only complete finite conditional supplier replay (stdlib only).""" +import argparse,gzip,hashlib,json,subprocess,sys,tempfile,time +from pathlib import Path +sys.dont_write_bytecode=True +HERE=Path(__file__).resolve().parent + +def need(ok,label): + if not ok:raise ValueError(label) +def read(path):return json.loads(path.read_bytes()) +def snapshot(): + return {p.relative_to(HERE).as_posix():hashlib.sha256(p.read_bytes()).hexdigest() for p in HERE.rglob('*') if p.is_file()} +def run(work): + before=snapshot();manifest=read(HERE/'MANIFEST.json')['sha256'] + need(set(before)==set(manifest)|{'MANIFEST.json'},'package contains missing or undeclared files') + need(all(before[k]==v for k,v in manifest.items()),'frozen package SHA256 differs') + def command(script,*args): + subprocess.run([sys.executable,'-I','-O','-B',str(HERE/script),*map(str,args)],check=True,timeout=500) + command('local/verify.py','--out',work/'LOCAL.json') + command('owners/verify.py','--out',work/'owners') + command('independent/verify.py','--work',work/'independent') + command('local/invoice.py','--variant',HERE/'local/data','--owners',HERE/'owners/OWNERS.json.gz','--out',work/'INVOICE.json') + need(read(work/'INVOICE.json')==read(HERE/'local/data/finite-invoice.json'),'fresh finite invoice differs') + command('arithmetic/verify.py','--out',work/'ARITHMETIC.json') + local=read(work/'LOCAL.json');owner=read(work/'owners/OWNERS-RECEIPT.json');invoice=read(work/'INVOICE.json');arithmetic=read(work/'ARITHMETIC.json') + need(local['source_hashes']['forward_trace']==owner['source_trace_sha256'],'local and owner word differ') + need(owner['owners_sha256']==invoice['owner_table_sha256'],'owner and finite invoice differ') + need(arithmetic['source_sha256']['owners/OWNERS.json.gz']==owner['owners_sha256'],'arithmetic owner differs') + need(arithmetic['profile']==owner['profile'],'complete paid profiles differ') + need(arithmetic['kappa']=='3361/2000000','wrong final kappa') + need(snapshot()==before,'source package changed during replay') + result=dict(status='PASS_COMPLETE_FINITE_CONDITIONAL_KAPPA',kappa=arithmetic['kappa'],kappa_decimal=arithmetic['kappa_decimal'],source_manifest_sha256=hashlib.sha256((HERE/'MANIFEST.json').read_bytes()).hexdigest(),all_source_files_unchanged=True,physical_roles=owner['roles'],physical_stock=invoice['physical_families'],native_jobs=sum(r['native_jobs'] for r in local['reports'].values()),strict_outer_rows=len(arithmetic['outer_constraints']),scope='All supplied finite identities, physical factor partition, exact fine-grid invoice and rational asymptotic assembly checked. Inherits original all-size compiler/physical fixed-tape/analytic transfer and retained bit supplier assumptions. Optional Lean lemmas are separate; this replay is not a Lean proof of multiplication.') + (work/'RESULT.json').write_text(json.dumps(result,indent=2)+'\n') + print(json.dumps(result,indent=2),flush=True) + +def main(): + parser=argparse.ArgumentParser(description=__doc__);parser.add_argument('--out',type=Path,help='Nonexistent external directory for receipts (otherwise temporary).');args=parser.parse_args() + if args.out: + need(not args.out.resolve().is_relative_to(HERE),'output must be outside source package') + args.out.mkdir(parents=True,exist_ok=False);run(args.out) + else: + with tempfile.TemporaryDirectory(prefix='selective-borrowing-kappa-') as d:run(Path(d)) +if __name__=='__main__':main()