From f2206e608167995b9b96b7e340b3558f2b578490 Mon Sep 17 00:00:00 2001 From: ToikY <27568617+ToikY@users.noreply.github.com> Date: Wed, 11 Nov 2026 01:57:57 -0800 Subject: [PATCH 1/2] Reuse selected replay navigation for hosted checks Reuse the exact documentation blob carried by #7161 at bb36fc65ee0b161229169505f4840c436c5ca2b9, following #7147 and #7156. --- docs/ci-verification.md | 19 ++++++++++++++++++- 1 file changed, 18 insertions(+), 1 deletion(-) diff --git a/docs/ci-verification.md b/docs/ci-verification.md index 63ba3e9aa8..52b62d0481 100644 --- a/docs/ci-verification.md +++ b/docs/ci-verification.md @@ -1,8 +1,25 @@ # CI verification -## Current selected-family replay: #6030 +## Current selected-family replay: #7000 with #7001 The [selected record](../certificates/selected-result.json) binds conditional +κ = 0.00363005817 to the [application review](research/pr-intake-evidence/pr7000-application/PROOF-REVIEW.md), +[validation receipts](research/pr-intake-evidence/pr7000-application/VALIDATION.json), +and [explicit source closure](../certificates/frontier7000-source.json). +`make frontier7000-verify` follows that exact-source selected replay. The review +reuses eleven authenticated preceding executions and records seven fresh serial +application, scalar and complete native-catalogue executions. The earlier +monolithic timeout is retained separately and is not completed coverage. +Consult the receipts for exact commands, source heads and limits. + +The five inherited framework assumptions remain. No complete uniform word, +literal multiplier execution, independent human proof or formal-kernel proof +is asserted. Routine research submissions do not need to rerun this +selected-family replay. The sections below preserve historical checkpoints. + +## Historical selected-family replay: #6030 + +The [historical checkpoint](../certificates/checkpoints/frontier6030.json) binds conditional κ = 0.003125804 to the [proof review](research/pr-intake-evidence/pr6030-audit/PROOF-REVIEW.md), [validation receipts](research/pr-intake-evidence/pr6030-audit/VALIDATION.json), and [explicit source closure](../certificates/frontier6030-source.json). From 8cff2624a060329db55f3858367082b5efe37be3 Mon Sep 17 00:00:00 2001 From: ToikY <27568617+ToikY@users.noreply.github.com> Date: Wed, 11 Nov 2026 05:50:30 -0800 Subject: [PATCH 2/2] Bound already-funded BIT terminal ingress stock --- .../bit-funded-terminal-ingress/AUDIT.json | 1 + research/bit-funded-terminal-ingress/LICENSE | 201 + research/bit-funded-terminal-ingress/NEXT.md | 13 + research/bit-funded-terminal-ingress/NOTICE | 21 + .../bit-funded-terminal-ingress/NOTICE-7001 | 26 + .../bit-funded-terminal-ingress/NOTICE-7244 | 13 + .../PEER-BIT-BLOBS.txt | 8 + research/bit-funded-terminal-ingress/PROOF.md | 38 + .../PROVENANCE.tsv | 14 + .../bit-funded-terminal-ingress/README.md | 28 + .../bit-funded-terminal-ingress/REPLAY.sha256 | 20 + .../bit-funded-terminal-ingress/SOURCES.json | 18 + .../bit-funded-terminal-ingress/SOURCES.tsv | 13 + .../bit-funded-terminal-ingress/SUMMARY.json | 2691 +++ .../bit-funded-terminal-ingress/TASK.json | 77 + .../bit-funded-terminal-ingress/VERIFY.json | 20 + research/bit-funded-terminal-ingress/audit.py | 258 + .../inputs/pr7209/RESULT.json | 3539 +++ .../inputs/pr7209/verify.py | 347 + .../inputs/pr7244/PROPOSED-CLAIM.json | 65 + .../inputs/pr7258/SUMMARY.json | 159 + .../paired-query-only-bit/EFREE-RESULT.json | 19787 ++++++++++++++++ .../independent/interval_gate.py | 127 + .../retained/inputs/BIT-NATIVE-WORD.json.gz | Bin 0 -> 111747 bytes .../predecessor/round22/SOURCES.tsv | 6 + .../predecessor/round22/verify.py | 398 + .../predecessor/round23/SOURCES.tsv | 9 + .../predecessor/round23/verify.py | 272 + .../price/AUDIT.stdout | 1 + .../price/RESULT.json | 46 + .../price/audit.py | 45 + .../price/verify.py | 77 + .../bit-funded-terminal-ingress/replay.py | 150 + .../bit-funded-terminal-ingress/verify.py | 264 + 34 files changed, 28752 insertions(+) create mode 100644 research/bit-funded-terminal-ingress/AUDIT.json create mode 100644 research/bit-funded-terminal-ingress/LICENSE create mode 100644 research/bit-funded-terminal-ingress/NEXT.md create mode 100644 research/bit-funded-terminal-ingress/NOTICE create mode 100644 research/bit-funded-terminal-ingress/NOTICE-7001 create mode 100644 research/bit-funded-terminal-ingress/NOTICE-7244 create mode 100644 research/bit-funded-terminal-ingress/PEER-BIT-BLOBS.txt create mode 100644 research/bit-funded-terminal-ingress/PROOF.md create mode 100644 research/bit-funded-terminal-ingress/PROVENANCE.tsv create mode 100644 research/bit-funded-terminal-ingress/README.md create mode 100644 research/bit-funded-terminal-ingress/REPLAY.sha256 create mode 100644 research/bit-funded-terminal-ingress/SOURCES.json create mode 100644 research/bit-funded-terminal-ingress/SOURCES.tsv create mode 100644 research/bit-funded-terminal-ingress/SUMMARY.json create mode 100644 research/bit-funded-terminal-ingress/TASK.json create mode 100644 research/bit-funded-terminal-ingress/VERIFY.json create mode 100644 research/bit-funded-terminal-ingress/audit.py create mode 100644 research/bit-funded-terminal-ingress/inputs/pr7209/RESULT.json create mode 100644 research/bit-funded-terminal-ingress/inputs/pr7209/verify.py create mode 100644 research/bit-funded-terminal-ingress/inputs/pr7244/PROPOSED-CLAIM.json create mode 100644 research/bit-funded-terminal-ingress/inputs/pr7258/SUMMARY.json create mode 100644 research/bit-funded-terminal-ingress/inputs/research/paired-query-only-bit/EFREE-RESULT.json create mode 100644 research/bit-funded-terminal-ingress/inputs/research/paired-query-only-bit/independent/interval_gate.py create mode 100644 research/bit-funded-terminal-ingress/inputs/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz create mode 100644 research/bit-funded-terminal-ingress/predecessor/round22/SOURCES.tsv create mode 100644 research/bit-funded-terminal-ingress/predecessor/round22/verify.py create mode 100644 research/bit-funded-terminal-ingress/predecessor/round23/SOURCES.tsv create mode 100644 research/bit-funded-terminal-ingress/predecessor/round23/verify.py create mode 100644 research/bit-funded-terminal-ingress/price/AUDIT.stdout create mode 100644 research/bit-funded-terminal-ingress/price/RESULT.json create mode 100644 research/bit-funded-terminal-ingress/price/audit.py create mode 100644 research/bit-funded-terminal-ingress/price/verify.py create mode 100644 research/bit-funded-terminal-ingress/replay.py create mode 100644 research/bit-funded-terminal-ingress/verify.py diff --git a/research/bit-funded-terminal-ingress/AUDIT.json b/research/bit-funded-terminal-ingress/AUDIT.json new file mode 100644 index 0000000000..a5636c8795 --- /dev/null +++ b/research/bit-funded-terminal-ingress/AUDIT.json @@ -0,0 +1 @@ +{"cohort": 185, "geometry": "independent fraction-free cofactors", "literal_chart_incidences": 446, "paid_events": 2871, "scopes": [{"additional_funded_useful": 0, "donors": 523, "s": 1, "scope": "literal pre-cut upper", "t": 1, "witnesses": 798}, {"additional_funded_useful": 0, "donors": 523, "s": 1, "scope": "owner quiet upper", "t": 1, "witnesses": 1338}], "status": "PASS"} diff --git a/research/bit-funded-terminal-ingress/LICENSE b/research/bit-funded-terminal-ingress/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/bit-funded-terminal-ingress/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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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/bit-funded-terminal-ingress/NEXT.md b/research/bit-funded-terminal-ingress/NEXT.md new file mode 100644 index 0000000000..74cae56def --- /dev/null +++ b/research/bit-funded-terminal-ingress/NEXT.md @@ -0,0 +1,13 @@ +# Next bounded test for changed marked prebirth payloads + +First generate the exact audited incidence receipt. + +```sh +python3.12 -I -B replay.py --write-incidence ./funded-ingress-detail.json +``` + +Implement `changed_carriers.py` by reading `funded-ingress-detail.json` and extracting the 60 distinct old paid ingress events through the quiet cutoff of the 20 literal rank-seven charts of the ten singleton marked banks. Freeze those 60 event numbers, their actual source and target frames, original cut, owner, scalar row and receiver bank. Use the same exact #7001/#6726, #7209, #7258 and #7244 inputs. This is one 60-event aggregate or eight minutes. The ten exact terminal event IDs are `25557, 25675, 25875, 25935, 25997, 26114, 26206, 26369, 26546, 26682`. Select those `incidence` rows, then deduplicate `event` across `clocks[1].compatible_charts[*].paid_ingress`. The authenticated receipt gives exactly 20 chart incidences and 60 unique old events. No new site. + +At each selected paid event, build the exact span of potential added payloads from other physically live source-coframed roles at that event. Keep the paid geometry, clock, owner and all unrelated old work fixed. First grant cache retention and coframed copying free. Introduce formal added scalar directions on those old ingress slots and propagate them with the exact old normalized operations. Build a joint zero-leak system on exterior output rows and unchanged paid operands. Require each carrier to precede its receiver and each new source to be independent of the old marked row. The new direction at each receiver must be realizable before birth, lie in the exact terminal space after combining allowed coframed rows, and project beyond the receiver's old singleton span in `W/U`. Retain an exact source witness and a protected-contact or outside dual when a direction fails. A jointly cancelable formal system only grants a possibility of later ownership and signed verification. + +The decisive price gate is at least seven distinct singleton libraries expanded with zero separately charged donor refinements, five with one, or four with two. The exact joint price requires 22 returns with two fees at the target. The stricter trial needs eight with zero or six with one and cannot pay two. Use the complete directed price even when the count passes, since the count grants all other old credits and charges only the cheapest possible separate refinements. Stop below the corresponding minimum, if the necessary retained contacts cannot be met, or if every survivor requires any additional whole-volume rank-one job. A cap with unresolved directions permits only one bounded continuation or a pivot. A passing upper permits a five-minute full 545-port endpoint and exact owner, clock, restoration and signed compatibility gate. The scope retains the literal charts and the declared old paid ingress sites. diff --git a/research/bit-funded-terminal-ingress/NOTICE b/research/bit-funded-terminal-ingress/NOTICE new file mode 100644 index 0000000000..ffcf51dba1 --- /dev/null +++ b/research/bit-funded-terminal-ingress/NOTICE @@ -0,0 +1,21 @@ +This BIT funded-ingress census and separately charged split calculation is Apache-2.0. +OpenAI Codex and subagents materially assisted the construction audit, proof and replay. + +Jerry Chen / CubeJerry #7001 and #6726 supply the literal native word, full +invoice and directed interval implementation. NOTICE-7001 and LICENSE preserve +the original attribution and license. + +#7209 supplies the 22 marked banks, their literal rank-seven midpoint geometry, +and the directed stock tariff. #7258 supplies the fixed marked library and +quotient replay. #7260 supplies the 523-port same-chart old-payload census, the +unmarked donor and release argument, and the separate full-volume split tariff. +Exact published source and blob pins appear in PROVENANCE.tsv. + +Clear1nsight #7244 supplies the independently reproduced complete comparator and +retained BIT premise. NOTICE-7244 preserves the original attribution, and +PEER-BIT-BLOBS.txt records the identity of the three exact BIT inputs. + +Nick Petalas #7264 supplies the synthetic sharpness result for the abstract +two-for-one rank bound. This package checks literal old paid ingress and its +directed tariff for the fixed native, and adds the joint price threshold for +changed marked libraries. diff --git a/research/bit-funded-terminal-ingress/NOTICE-7001 b/research/bit-funded-terminal-ingress/NOTICE-7001 new file mode 100644 index 0000000000..32c2936ea0 --- /dev/null +++ b/research/bit-funded-terminal-ingress/NOTICE-7001 @@ -0,0 +1,26 @@ +Paired E-free BIT specialization and complete accounting, with substantial +OpenAI Codex assistance, for the integer-multiplication research project. +Apache-2.0; LICENSE is retained from the source project. + +DreamingOfClouds (Claude Opus assistance) receives credit for #6834's chain-root +BIT caller, #6937's E-free roots and the underlying two-chain construction. +@CubeJerry (OpenAI assistance) receives credit for #6980's four-input three-query +identity, separated interval replacement and QUERY-only caller. The complete +#6980 proof is retained byte-for-byte in data/6980_PROOF.md. + +The new contribution specializes that existing caller to the actual #6726 BIT +native, supplies the parity-driven pairing of two real 111-port invocations, +and checks the complete E-free finite/compiler/ordinary budget from the selected +ordinary backend. No general QUERY-only mechanism, chain root or new raw kappa +is claimed as new here. + +independent/bit_review.py and independent/interval_gate.py were written by a +separate OpenAI Codex research worker for an implementation-independent scalar +and arithmetic audit. This is model-run checking, not external human review. + +zxv and retained predecessor authors receive credit for #6726's source-native +export, integer-before-mod2 transfer, complete source checking and admission +framework. Ali Romman and Cinna Davis retain the root/native lineage credit. +The copied arithmetic and native checker retain their original headers; see +retained/NOTICE. The selected .0034 backend retains the source and contributor +credits in data/selected_record.json and data/selected_review.md. diff --git a/research/bit-funded-terminal-ingress/NOTICE-7244 b/research/bit-funded-terminal-ingress/NOTICE-7244 new file mode 100644 index 0000000000..c31402a4fb --- /dev/null +++ b/research/bit-funded-terminal-ingress/NOTICE-7244 @@ -0,0 +1,13 @@ +Prepared for Clear1nsight with substantial OpenAI Codex and ChatGPT Pro +assistance. New work is Apache-2.0. + +ChatGPT Pro identified the symmetric and antisymmetric two-cut mechanism. +OpenAI Codex independently reconstructed the exact timed witness, emitted +the literal candidate, and adapted and executed the source-bound checks. +Credit the exact #7161 funded exit and #7164 application review, Rohan +Arun's #7156 and #7113, Ali Romman's causal-history owned-buffer identity, +Jerry Chen / CubeJerry's timing and exact replay, Matarener's kernels, +dillona's temporal constructor, and ToikY's exact pricing engines. The +selected framework retains the #7000/#7001 contributor and maintainer +credit. Source licenses and predecessor notices remain in the archive +and reference directory. diff --git a/research/bit-funded-terminal-ingress/PEER-BIT-BLOBS.txt b/research/bit-funded-terminal-ingress/PEER-BIT-BLOBS.txt new file mode 100644 index 0000000000..a682360cd0 --- /dev/null +++ b/research/bit-funded-terminal-ingress/PEER-BIT-BLOBS.txt @@ -0,0 +1,8 @@ +e54523517d0f03e58352e647c403a5af3e525a57 +100644 blob 575f76487f9999ecc3e7b1b70f9f71bc582ef8a8 research/paired-query-only-bit/EFREE-RESULT.json +100644 blob 6d5a751dde7554b2bb3ccb9a958a3508d74ea155 research/paired-query-only-bit/independent/interval_gate.py +100644 blob b718d6b2848215ad785022106dfa9f871a3d1c0c research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz +4156504fa39efb51c550d218a9b94fe69dbce8f6 +100644 blob 575f76487f9999ecc3e7b1b70f9f71bc582ef8a8 research/paired-query-only-bit/EFREE-RESULT.json +100644 blob 6d5a751dde7554b2bb3ccb9a958a3508d74ea155 research/paired-query-only-bit/independent/interval_gate.py +100644 blob b718d6b2848215ad785022106dfa9f871a3d1c0c research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz diff --git a/research/bit-funded-terminal-ingress/PROOF.md b/research/bit-funded-terminal-ingress/PROOF.md new file mode 100644 index 0000000000..cb61cda7a3 --- /dev/null +++ b/research/bit-funded-terminal-ingress/PROOF.md @@ -0,0 +1,38 @@ +# Funded rank-seven ingress and separately charged BIT splits + +## Fixed word and admissible sources + +Use the exact [#7001](https://github.com/CrocSwap/integer-mult-bounds/pull/7001) and [#6726](https://github.com/CrocSwap/integer-mult-bounds/pull/6726) retained native at canonical commit `e54523517d0f03e58352e647c403a5af3e525a57`. Chart 1 is absorbing and has rank eight. Its 545 existing arrivals are independent and span the required terminal row space `W`. The 523 original unmarked arrivals span `U`. The 22 marked banks, their literal midpoint geometry and the directed stock tariff come from [#7209](https://github.com/CrocSwap/integer-mult-bounds/pull/7209) at `77feabfe187c669545908f6225dfb7f711d7360c`. Keep the marked libraries of [#7258](https://github.com/CrocSwap/integer-mult-bounds/pull/7258) fixed for the exclusion. A replacement must preserve the terminal dimension and row space, so every arriving row must lie in `W`. + +For an original terminal child of paid rank at least two, consider every literal rank-seven chart that contains its original source frame over the rationals. At the original pre-event cut, grant every earlier paid nonzero row whose actual arrival is in a compatible chart and every old local coframed row observed through that cut. In a second scope, extend the clock to the last cut before the next touch of the terminal owner. The replay records each old paid row, pre-chart, after-event cut and owner, and each cached row with its observed cut. In both scopes grant the entire #7260 owner-quiet same-chart old-source upper bound as an additional library, even at the original cut. Also grant arbitrary linear combinations across those libraries, free coexistence, retention and restoration, and a free final midpoint-to-rank-eight adapter. The verifier intersects the enlarged source span with `W` before projecting into `W/U`. These grants enlarge the upper bound while leaving all old paid payloads fixed. + +The scan exhausts all 185 eligible terminal slots, including 22 marked references and 163 unmarked candidates. It reconstructs 2,871 original paid MOVEs, all 545 terminal arrivals and 446 compatible rank-seven incidences. The two clocks give 798 and 1,338 paid ingress witnesses. The marked reference charts match #7209. Event 21,445 remains the only unmarked slot with a nonzero new quotient projection in either clock scope. No additional useful slot arises, even with the free cache grant. Independent fraction-free geometry and normalized row replay verify the count and the witnessed owners and cuts. Zero incidences in this scope remain unresolved. + +## Directed stock bounds + +At most one quotient vector per unmarked slot contributes to an actual replacement. The replay calculates independent transversal projection rank `t` into all 22 marked coordinates and `s` on the ten singleton marked coordinates, with a rank certificate for each. Both ranks equal one. The #7260 endpoint-and-release argument bounds the number of independent returned rows by `min(22,12+t+s)` under the fixed marked libraries. Thus stock is at most 14. The directed net upper is approximately −1.4176039760312882 at the campaign target and −1.6506007633630861 at the stricter trial. The signed fractions appear in `SUMMARY.json`. + +If each extra donor splits its own terminal child of integer rank `r≥2` into positive ranks `a+b=r` at the old full volume, its added leading cost is at least `36(2−2^(1−κ))` across 36 copies. To see this, write `p=1−κ`. For fixed `r`, the concavity of `x^p` gives `a^p+b^p−r^p ≥ 1+(r−1)^p−r^p`. The concave function's finite differences decrease with `r`, so the expression is at least `2−2^p`. Even granting two additional marked credits per such split, `h` separate splits leave the stock at most `min(22,14+2h)`. The best optimistic directed net upper over all `h` is approximately −0.35408633858153143 at target and −0.5869197763976802 at the stricter trial. Saturation at 22 and the positive fee bound all larger `h`. + +## A different route that expands marked libraries + +Let `ℓ` be the number of expanded libraries among the ten originally singleton marked banks. Each unchanged singleton whose own nonzero delta is used zeros its original quotient pivot. If `k` such pivots vanish, the marked arrivals contribute at most `22−k` dimensions, while unmarked replacements contribute at most `t`. Full quotient rank gives `k≤t`. At most `12+ℓ+t` independent marked delta directions can survive modulo the old `U`. Releasing old unmarked directions adds at most `dim(U/(U∩U′))≤t`, where `U′` is the new unmarked span. This gives the optimistic stock bound `min(22,12+ℓ+2t)`. One old useful donor and `h` separately charged new donors give `t≤1+h`. + +The original ingress receipt includes a stock-only calculation that uses the zero-fee return threshold. The exact joint fee calculation in `price/RESULT.json` checks all 23 stock counts for each trial and charges every added split. The independent audit derives the threshold from exact interpolation of the adjacent even-stock #7209 interval bounds, since the stock bill is affine in the number of returns. At each reported boundary the preceding upper is negative and the first viable lower is positive. + +| Trial | Separately charged splits | Minimum returns | Minimum expanded singleton libraries | +| --- | ---: | ---: | ---: | +| `10018846261809/2500000000000000` | 0 | 21 | 7 | +| `10018846261809/2500000000000000` | 1 | 21 | 5 | +| `10018846261809/2500000000000000` | 2 | 22 | 4 | +| `1002040748181/250000000000000` | 0 | 22 | 8 | +| `1002040748181/250000000000000` | 1 | 22 | 6 | +| `1002040748181/250000000000000` | 2 | unaffordable | unaffordable | + +At the campaign target three splits exceed even the all-22 relaxed margin, and larger `h` cost more. The table gives necessary counts in an optimistic tariff model. Passing a count leaves exact timing, physical ownership, signed endpoint behavior, full restoration and the remaining paid costs to prove. + +## Scope and predecessors + +[#7260](https://github.com/CrocSwap/integer-mult-bounds/pull/7260) at `87d47c19558568bad9fa79fa74360c9cc20877c1` checks old live and cached coframed source rows across all 523 unmarked arrivals. Here its exact libraries and stock bound are reused. This census adds compatible old **paid ingress into rank-seven midpoints**, on the fixed 185-port rank-eligible cohort and two explicit clocks. [#7264](https://github.com/CrocSwap/integer-mult-bounds/pull/7264) at `19f6c9e5962ae11519661d070c3bdcd3aa6537a3` gives Nick Petalas's synthetic sharpness witness for the abstract two-for-one rank inequality. The test here determines which old rows and paid ingress actually exist at the fixed cuts and prices them. The synthetic witness leaves this literal chronology and tariff open. + +Novel rational midpoints without old literal paid ingress, changed payloads at old paid events, shared newly paid adapters, changed marked prebirth libraries and full signed and ownership feasibility remain open. No site or candidate build was performed. The fixed funded-ingress family gives **NO VERIFIED GAIN**. diff --git a/research/bit-funded-terminal-ingress/PROVENANCE.tsv b/research/bit-funded-terminal-ingress/PROVENANCE.tsv new file mode 100644 index 0000000000..c6a9cc18cf --- /dev/null +++ b/research/bit-funded-terminal-ingress/PROVENANCE.tsv @@ -0,0 +1,14 @@ +inputs/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz 51203e7fc75ba10bd3ac3f8e675759f47e13d262bea66b6600d1e515095cad78 b718d6b2848215ad785022106dfa9f871a3d1c0c https://github.com/CrocSwap/integer-mult-bounds/blob/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz +inputs/research/paired-query-only-bit/independent/interval_gate.py 8dc2bc4c64cba3f83c664373984a075f1a14b4d53958084091345c8cab189dec 6d5a751dde7554b2bb3ccb9a958a3508d74ea155 https://github.com/CrocSwap/integer-mult-bounds/blob/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/independent/interval_gate.py +inputs/research/paired-query-only-bit/EFREE-RESULT.json a46b6c6040f75184cab5467656811ad988c216e3bc8e44d595a5015b6e49620b 575f76487f9999ecc3e7b1b70f9f71bc582ef8a8 https://github.com/CrocSwap/integer-mult-bounds/blob/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/EFREE-RESULT.json +inputs/pr7209/verify.py e153760831952878b5def1776811ea182ea6f3876f09262f7e81a10991ddbd94 f2460426f9f21d2ce65293f6bf28e7f00bb909ba https://github.com/CrocSwap/integer-mult-bounds/blob/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/verify.py +inputs/pr7209/RESULT.json 0cba78ea171cea0327bb59d95fd4e7ddb45ce004a7966de763e3f18346e1aea1 07664a3820ace218226f6e6ec6086068665f018a https://github.com/CrocSwap/integer-mult-bounds/blob/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/RESULT.json +inputs/pr7244/PROPOSED-CLAIM.json 14e52a8a25f8f47fa8a9b1429246fa73f047707b4cc51a575154b60788b9e688 786f5550a20184637fc1e05f99a0e28e0976e1a4 https://github.com/CrocSwap/integer-mult-bounds/blob/4156504fa39efb51c550d218a9b94fe69dbce8f6/research/p104-two-cut-funded-split/PROPOSED-CLAIM.json +NOTICE-7001 8c73eaf46327f01b4cfc18640b5e5f552648fc5e4427cbccd42af5e7ecd3b732 32c2936ea041e8f3e78638572a73f5f4079d4180 https://github.com/CrocSwap/integer-mult-bounds/blob/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/NOTICE +NOTICE-7244 3ed23f5fea64744747b3f03d85bcddee18a6fd52611733f34096c200547a2c8b c31402a4fb56f7e334722dd8cdc5313eaa104cfd https://github.com/CrocSwap/integer-mult-bounds/blob/4156504fa39efb51c550d218a9b94fe69dbce8f6/research/p104-two-cut-funded-split/NOTICE +LICENSE c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4 261eeb9e9f8b2b4b0d119366dda99c6fd7d35c64 https://github.com/CrocSwap/integer-mult-bounds/blob/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/LICENSE +predecessor/round22/verify.py 6c911eb044f9342459be2e21ef6c9c27d1c1fd47e58be87873c6e9656047c948 1a12b3b16122ad2fabb6dfd958d7db9cf0b62687 https://github.com/CrocSwap/integer-mult-bounds/blob/90a63fbefcf79c3e0c0453ef0741dff8517b6167/research/bit-fixed-payload-quotient-bound/verify.py +predecessor/round22/SOURCES.tsv 963e6412a7d3c6fdca55bfb5c7cddcf80c21f2a5ac99162a2c20ffb00bfe77e6 d12b980b7ebf42f438f136ccf47335a55dfe4c02 https://github.com/CrocSwap/integer-mult-bounds/blob/90a63fbefcf79c3e0c0453ef0741dff8517b6167/research/bit-fixed-payload-quotient-bound/SOURCES.tsv +predecessor/round23/verify.py b5b776fe7a5b9a99c256bf6a013831c9707ff54fb1df28f0867acc3a5b2e0ad2 97b5b52e37209e7ccd55d411d4836fbcfef24789 https://github.com/CrocSwap/integer-mult-bounds/blob/87d47c19558568bad9fa79fa74360c9cc20877c1/research/bit-terminal-donor-stock/verify.py +predecessor/round23/SOURCES.tsv a528875c1092556b60bb77af66ca85b2a8302ea12ae4e4b746891c37fc605dc2 850072eb41fc3fee97d7493a2490cd660c01d529 https://github.com/CrocSwap/integer-mult-bounds/blob/87d47c19558568bad9fa79fa74360c9cc20877c1/research/bit-terminal-donor-stock/SOURCES.tsv +inputs/pr7258/SUMMARY.json b4f35a88da911a3b935aa3f4bbf3c921906d60df147e068bacb5b5ca66b0bfa0 1e215cd7e002638356fcc278a4620234511e8129 https://github.com/CrocSwap/integer-mult-bounds/blob/90a63fbefcf79c3e0c0453ef0741dff8517b6167/research/bit-fixed-payload-quotient-bound/SUMMARY.json diff --git a/research/bit-funded-terminal-ingress/README.md b/research/bit-funded-terminal-ingress/README.md new file mode 100644 index 0000000000..26ee0b6088 --- /dev/null +++ b/research/bit-funded-terminal-ingress/README.md @@ -0,0 +1,28 @@ +# Exact funded-ingress census for the fixed BIT terminal word + +**NO VERIFIED GAIN.** Existing paid arrivals into compatible rank-seven charts add zero useful unmarked terminal slots to the fixed native word, even with free retention of old coframed payloads. The resulting optimistic stock is at most 14 returns out of 22. Paying each added donor split separately still leaves a negative directed margin. A distinct route that changes the marked libraries must expand at least 7, 5 or 4 singleton libraries at the campaign target with zero, one or two separately charged donor splits, respectively. + +The pinned complete comparator is [#7244](https://github.com/CrocSwap/integer-mult-bounds/pull/7244) at scientific head `4156504fa39efb51c550d218a9b94fe69dbce8f6`, with independently reproduced conditional κ `0.003645372367832` and effective retained BIT premise `376669/100000000`. The directed trials here are `10018846261809/2500000000000000` and `1002040748181/250000000000000`. Neither trial changes κ or proposes a replacement native word. + +## Replay + +From this directory in a clean checkout, run CPython 3.12 with assertions enabled. The replay was tested under CPython 3.12.14 in an empty current directory and with a cleared environment. All inputs are bundled, authenticated by their stable paths, and staged in a fresh scratch directory. The replay uses the standard library and runs offline. + +```sh +python3.12 -I -B replay.py --controls +``` + +Expect exit 0 and these markers. + +```text +PASS_FORGED_PAID_CLOCK_AND_UNDERPRICED_THRESHOLD_REJECTION +PASS_BIT_FUNDED_INGRESS ports=185 added_useful=0 returns=14 target=7/5/4 strict=8/6/unaffordable no_new_kappa +``` + +The replay regenerates both predecessor receipts and the 8,170,267-byte detailed incidence receipt, then verifies exact byte counts and SHA-256 hashes. It checks the compact `SUMMARY.json`, reruns the independent geometry and chronology audit, and compares the exact price receipt and independent tariff audit. The controls forge one paid ingress clock and reduce the two-split target threshold from four to three. The independent audits must reject both. A one-byte input change and a duplicate manifest path were also rejected before scientific stdout during the clean test. + +Use `--inputs /path/to/inputs` for an explicit replacement root with the same file layout. Use `--write-incidence /path/to/new-result.json` to keep the authenticated full incidence receipt for follow-up. `PROVENANCE.tsv` gives the precise public commit and blob for each vendored file. `SOURCES.tsv` preserves the original scientific manifest, including the generated predecessor receipt pins. `PROOF.md` defines the scoped exclusion and price conditions. `NEXT.md` gives the next bounded test. + +## Open next questions + +Can the old paid ingress events carry new independently sourced marked directions while preserving the old paid operands and exterior outputs? This is the first route left open by the fixed-payload exclusion. Start with the 60-event zero-leak test in [NEXT.md](NEXT.md). Even a successful formal test still needs physical chronology, ownership, signed restoration and full price. diff --git a/research/bit-funded-terminal-ingress/REPLAY.sha256 b/research/bit-funded-terminal-ingress/REPLAY.sha256 new file mode 100644 index 0000000000..c7348a0191 --- /dev/null +++ b/research/bit-funded-terminal-ingress/REPLAY.sha256 @@ -0,0 +1,20 @@ +b05c0ce1a36dd9598ab49abe6ddc64b8e25f9569001e507765a69792fcda473c AUDIT.json +d60d52cfb3f4ee7db18fac70cf94e93bae94e22974fcbc59403b353541bdab15 SOURCES.tsv +0c98c925bab445a1df5b0f0ec9388513e9abdb65f31ff259ac1aa010efcb8453 SUMMARY.json +669360e712d83b037164f01fccc86d3ed855d3a932c5d90e1a5264b93aed8785 audit.py +0cba78ea171cea0327bb59d95fd4e7ddb45ce004a7966de763e3f18346e1aea1 inputs/pr7209/RESULT.json +e153760831952878b5def1776811ea182ea6f3876f09262f7e81a10991ddbd94 inputs/pr7209/verify.py +14e52a8a25f8f47fa8a9b1429246fa73f047707b4cc51a575154b60788b9e688 inputs/pr7244/PROPOSED-CLAIM.json 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+ 397, + 398, + 399, + 400, + 401, + 402, + 403, + 404, + 405, + 406, + 407, + 408, + 409, + 410, + 411, + 412, + 413, + 414, + 415, + 416, + 417, + 418, + 419, + 420, + 421, + 422, + 423, + 424, + 425, + 426, + 427, + 428, + 429, + 430, + 431, + 432, + 433, + 434, + 435, + 436, + 437, + 438, + 439, + 440, + 441, + 442, + 443, + 444, + 445, + 446, + 447, + 448, + 449, + 450, + 451, + 452, + 453, + 454, + 455, + 456, + 457, + 458, + 459, + 460, + 461, + 462, + 463, + 464, + 465, + 466, + 467, + 468, + 469, + 470, + 471, + 472, + 473, + 474, + 475, + 476, + 477, + 478, + 479, + 480, + 481, + 482, + 483, + 484, + 485, + 486, + 487, + 488, + 489, + 490, + 491, + 492, + 493, + 494, + 495, + 496, + 497, + 498, + 499, + 500, + 501, + 502, + 503, + 504, + 505, + 506, + 507, + 508, + 509, + 510, + 511, + 512, + 513, + 514, + 515, + 516, + 517, + 518, + 519, + 520, + 521, + 522 + ], + "rado_subset_rank": 0, + "rank": 1 + } + } + ], + "seconds_cap": 480, + "status": "NO VERIFIED GAIN", + "target": "10018846261809/2500000000000000", + "terminal_arrivals": 545, + "trial": "1002040748181/250000000000000", + "unmarked_incidence_ports": 163 +} diff --git a/research/bit-funded-terminal-ingress/TASK.json b/research/bit-funded-terminal-ingress/TASK.json new file mode 100644 index 0000000000..24df529a4a --- /dev/null +++ b/research/bit-funded-terminal-ingress/TASK.json @@ -0,0 +1,77 @@ +{ + "schema_version": 1, + "task_id": "bit-helper-contract", + "priority_revision": 8, + "base_commit": "e54523517d0f03e58352e647c403a5af3e525a57", + "original_card": { + "id": "bit-helper-contract", + "question": "Can a changed G20 helper path or independent-target split improve the complete BIT moment without losing its physical endpoint?", + "starting_points": [ + "docs/research/current-priorities.md", + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md", + "research/g20-helper-split/README.md", + "research/g20-conjugation-admission/README.md" + ], + "methods": [ + "Construct and independently check one source-bound instance of the stated first experiment.", + "Seek an exact counterexample or target-specific complete-budget obstruction to that same proposed change." + ], + "acceptance_gate": "A full boundary contract and paid profile; unchanged scalar counts alone are insufficient. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_selected_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read revision 8, the selected review and live exact-source handoffs. Then follow this card's bounded first_experiment.", + "scope": "Source-bound orientation only, not a supplier replay or theorem proof." + }, + "first_experiment": "First read #5679/#5708 and their audits as pending component proposals. Choose one uncovered helper group/cut on an exact word; compare arbitrary-input native action, targets, owned storage, both orientations and full signed bill. Stop if the gain is only a scalar count or repaid by lost targets. Do not rerun the frozen #5609 common-frame domain without changing its hypothesis.", + "bottleneck_link": "Judge the actual current supplier contract and complete signed target/paid bill; frozen-profile ceilings require an applicability proof.", + "allowed_variations": [ + "One exact source head, helper/cut region or quantified proposition and changed hypothesis; check live handoffs first. Different seeds are not different scopes." + ], + "scope_change_triggers": [ + "Changing source head, helper/cut domain, operation alphabet or caller boundary without recording the new scope.", + "Treating an archived proposal or local numerical pass as complete supplier admission." + ], + "overlap_terms": [ + "G20", + "helper split", + "5679", + "5708", + "independent target" + ], + "existing_checks": [ + { + "scope": "Selected PR5599: complete helper-subspace construction and independent caller replay; five framework assumptions remain.", + "evidence": "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md", + "remaining": "The next experiment must identify uncovered source-specific work. Successor archive intake does not transfer this admission.", + "status": "reviewed", + "source_commit": "09dd0965711ca7eeb169057a420abab1c9052137", + "selected_record_sha256": "2a0220e866417774606e0f991e41b9c1d26b1f43b97857238cf478dbc7d330b5" + } + ] + }, + "scope_status": "changed", + "actual_scope": "Whole fixed-payload BIT funded-ingress test over 185 rank-at-least-two terminal ports. Compare literal and quiet clocks and reprice marked-library thresholds with each separate split fee.", + "scope_change_reason": "Change from an individual G20 helper trial to exact aggregate terminal stock on the selected BIT word.", + "bottleneck_link": "The target needs 21 independent marked returns. Existing funded ingress adds zero useful slots, leaving at most 14. The separate refinement and changed-library routes receive full directed prices.", + "budget_minutes": 8, + "stop_rule": "Exhaust all 185 eligible ports and 23 price counts per trial or stop after eight minutes with unresolved scope recorded.", + "outcome": "negative-result", + "evidence": "PROOF.md, SUMMARY.json and AUDIT.json give exact geometry, clocks and quotient witnesses. The verifier regenerates all three receipts and independently rejects forged receipts.", + "author": "ToikY", + "ai_assistance": "OpenAI Codex and subagents materially assisted in deriving, independently checking, and packaging this result.", + "open_questions": [ + { + "question": "Can changed paid carrier payloads expand marked prebirth libraries while retaining the complete endpoint?", + "why_it_matters": "Existing paid ingress adds no useful slot.", + "first_step": "Use NEXT.md to extract all 60 old carrier events and form a joint zero-leak system.", + "blocked_by": "The paid candidate needs the 7/5/4 library stock, restored endpoint, exact ownership and chronology." + } + ] +} diff --git a/research/bit-funded-terminal-ingress/VERIFY.json b/research/bit-funded-terminal-ingress/VERIFY.json new file mode 100644 index 0000000000..55f2c82220 --- /dev/null +++ b/research/bit-funded-terminal-ingress/VERIFY.json @@ -0,0 +1,20 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/replay.py", + "--controls" + ], + "timeout_seconds": 540, + "checks": "Authenticate exact sources and rebuild all three scientific receipts. Independently check the paid ingress stock and charged prices and reject a forged paid clock or lowered threshold." + } + ] +} diff --git a/research/bit-funded-terminal-ingress/audit.py b/research/bit-funded-terminal-ingress/audit.py new file mode 100644 index 0000000000..03036430bd --- /dev/null +++ b/research/bit-funded-terminal-ingress/audit.py @@ -0,0 +1,258 @@ +"""Independent fraction-free geometry and set-valued funded incidence audit.""" +from collections import defaultdict +from fractions import Fraction +import gzip +from hashlib import sha256 +import json +from math import prod +from pathlib import Path +import sys + +root,receipt = map(Path,sys.argv[1:]) +r = json.loads(receipt.read_bytes()) +pins = {} +for line in Path(__file__).with_name('SOURCES.tsv').read_text().splitlines(): + key,digest,_ = line.split('\t') + assert key not in pins + pins[key] = digest +assert pins == r['pins'] + + +def read(path): + blob = (root/path).read_bytes() + assert sha256(blob).hexdigest() == pins[path] + return blob + + +def det(data): + a = [list(v) for v in data] + n = len(a) + previous = sign = 1 + for i in range(n-1): + j = next((j for j in range(i,n) if a[j][i]),None) + if j is None: + return 0 + if j != i: + sign *= -1 + a[i],a[j] = a[j],a[i] + pivot = a[i][i] + for k in range(i+1,n): + for j in range(i+1,n): + v = pivot*a[k][j]-a[k][i]*a[i][j] + assert v % previous == 0 + a[k][j] = v//previous + a[k][i] = 0 + previous = pivot + return sign*a[-1][-1] + + +def integer(row): + r = [Fraction(x) for x in row] + d = prod(x.denominator for x in r) + return [int(x*d) for x in r] + + +def norm7(A): + normal = tuple((-1)**j*det([row[:j]+row[j+1:] for row in A]) for j in range(8)) + assert any(normal) + assert all(sum(a*b for a,b in zip(row,normal))==0 for row in A) + return normal + + +def contained(A,n): + return not any(sum(x*y for x,y in zip(a,n)) for a in A) + + +assert det([[1,2],[3,4]]) == -2 and det([[0,2],[3,4]]) == -6 +w = json.loads(gzip.decompress(read('research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz'))) +prev = json.loads(read('round23/RESULT.json')) +summary = json.loads(read('pr7258/SUMMARY.json')) +assert summary['receipt_sha256'] == pins['round22/RESULT.json'] +marks = [b['event'] for b in json.loads(read('pr7209/RESULT.json'))['bank_maps']] +size = {int(i):v['dim'] for i,v in w['frames'].items()} +mat = {int(i):[integer(a) for a in v['B']] for i,v in w['frames'].items()} +normal = {i:norm7(a) for i,a in mat.items() if size[i]==7} +N = w['public'] +f = w['start']+[None]*w['owned_fields'] +x = [frozenset((j,)) for j in range(N)]+[frozenset()]*w['owned_fields'] +history,paid,touch = defaultdict(dict),{},defaultdict(list) + + +def remember(j,cut,op): + if x[j]: + history[f[j]].setdefault((j,x[j]),(cut,op)) + + +for j in range(N): + remember(j,0,'initial') +for t,row in enumerate(w['program']): + op,j = row[:2] + touch[j].append(t) + if op=='MOVE': + a,b = row[2:] + assert f[j]==a and a!=1 + paid[t] = (j,a,b,x[j]) + f[j]=b + elif op=='ADD': + k,a=row[2:] + assert f[j]==f[k]==a + touch[k].append(t) + x[j]^=x[k] + elif op=='SWAP': + k=row[2] + touch[k].append(t) + f[j],f[k]=f[k],f[j] + x[j],x[k]=x[k],x[j] + remember(k,t+1,op) + else: + assert op in ('INIT','CLEAR') and row[2]!=1 + assert f[j]==(None if op=='INIT' else row[2]) + f[j]=row[2] if op=='INIT' else None + x[j]=frozenset() + remember(j,t+1,op) +assert f==w['final']+[None]*w['owned_fields'] +assert x==[frozenset((i-111,i)) if 111<=i<222 else frozenset((i,)) for i in range(N)]+[frozenset()]*w['owned_fields'] +assert len(paid)==2871 + + +def window(t,j): + i=touch[j].index(t) + seq=touch[j] + return [seq[i-1]+1 if i else 0,seq[i+1] if i+1=523)) + return row_basis(q) + + +def span_agrees(space,expected): + report=row_basis(frozenset(a) for a in expected) + assert len(space)==len(report) and all(not rem(report,a) for a in space.values()) + + +cohort=[e for e in sorted(terminal) if size[paid[e][1]]<=6] +assert len(cohort)==185 and cohort==[row['event'] for row in r['incidence']] +mid_charts={a:sorted(i for i,n in normal.items() if contained(mat[a],n)) for a in {paid[e][1] for e in cohort}} +base={b['event']:{frozenset(v['row']) for v in b['source_rows']} for b in prev['scopes'][1]['donors']} +singletons=frozenset(prev['quiet_singleton_mark_positions']) +raw_paid=[defaultdict(set),defaultdict(set)] +raw_all=[defaultdict(set),defaultdict(set)] +witness_count=[0,0] +for e,b in zip(cohort,r['incidence'],strict=True): + j,a,_,old=paid[e] + assert j==b['owner'] and a==b['source_chart'] and sorted(old)==b['old_row'] + assert b['quiet_window']==window(e,j) + assert sorted(b['compatible_literal_charts'])==mid_charts[a] + for mode,s in enumerate(b['clocks']): + deadline=window(e,j)[1] if mode else e + assert s['deadline_cut']==deadline + assert sorted(v['chart'] for v in s['compatible_charts'])==mid_charts[a] + for row in s['compatible_charts']: + g=row['chart'] + candidates={(i,k,h,v) for i,(k,h,target,v) in paid.items() if target==g and i=deadline: + raise TimeoutError("one stock map exceeded budget") + + +def rref(vectors): + basis={} + for x in vectors: + v=list(x) + for p,u in sorted(basis.items()): + if v[p]: + c=v[p] + v=[a-c*b for a,b in zip(v,u,strict=True)] + p=next((i for i,a in enumerate(v) if a),None) + if p is None: + continue + u=[a/v[p] for a in v] + for j,b in list(basis.items()): + if b[p]: + basis[j]=[a-b[p]*z for a,z in zip(b,u,strict=True)] + basis[p]=u + return tuple(tuple(basis[p]) for p in sorted(basis)) + + +@cache +def join(a,b): + return rref(a+b) + + +def positions(bits): + out=[] + while bits: + p=bits&-bits + out.append(p.bit_length()-1) + bits^=p + return out + + +def sweep(w,ranks,pivots,deadline,reverse=False): + n=w["public"] + frames=(w["final"] if reverse else w["start"])+[None]*w["owned_fields"] + rows=[1<=222 and w["start"][x["final_role"]]==0) + assert major=={2:2,4:2,6:138,7:268} + out={} + for k in (Q("0.0040075385047236"),Q("0.004008162992724")): + base=g.moment(signed,k) + minority=(0,0) + for r,n in helper.items(): + if r<8: + minority=g.add(minority,g.smul(g.sub(g.exact(r),g.power(r,k)),copies*n)) + def terminal(a): + return g.smul(g.add(g.sub(g.power(a+1,k),g.exact(1)), + g.sub(g.power(8-a,k),g.power(8,k))),copies) + own=g.add(base,minority) + for a,n in major.items(): + if a<7: + own=g.add(own,g.smul(terminal(a),n)) + one=terminal(6) + needed=next(n for n in range(23) if g.add(own,g.smul(one,n))[0]>0) + assert g.add(own,g.smul(one,needed-1))[1]<0 + total=g.add(own,g.smul(one,stock)) + out[str(k)]={"compatible_stock_upper":stock,"needed":needed, + "net_upper":g.show(total),"still_negative":total[1]<0, + "all_added_setup_and_ordinary_work_granted_free":True} + return out + + +def run(root,seconds): + deadline=monotonic()+seconds + control() + w=json.loads(gzip.decompress(read(root,"research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz"))) + invoice=json.loads(read(root,"research/paired-query-only-bit/EFREE-RESULT.json")) + assert (w["public"],w["owned_fields"],len(w["program"]))==(659,237,34137) + raw_frames={int(f):v for f,v in w["frames"].items()} + ranks={f:x["dim"] for f,x in raw_frames.items()} + frames={f:rref(tuple(map(Q,row)) for row in x["B"]) for f,x in raw_frames.items()} + assert len(set(frames.values()))==len(frames)==636 + assert all(len(frames[f])==r for f,r in ranks.items()) and ranks[1]==8 + chart={space:f for f,space in frames.items() if ranks[f]==7} + ledger=terminal_ledger(w,ranks) + live=[x for x in ledger if x["paid_rank"]>=2] + source={} + owner={} + for x in live: + i=x["move_event"] + op,j,a,b=w["program"][i] + assert op=="MOVE" and (j,b)==(x["bank_owner_at_move"],1) + assert ranks[a]==x["before_rank"] and i not in source + source[i]=frames[a] + owner[i]=j + main=sorted(x["move_event"] for x in live if x["final_role"]<222) + assert len(live)==len(source)==185 and len(main)==22 + pre,pi,touch=sweep(w,ranks,set(source),deadline) + post,si,_=sweep(w,ranks,set(source),deadline,reverse=True) + group=sum(1<2 else 480 + assert 0= 16^768 of their multiplicities", + "specialized_owned_fields": "D = 19950^768 - W", + "specialized_initial_and_final": 0, + "owned_allocation_records_bound": "2*19950^768", + "product_raw_invocation_count": "sum(i=0..767, 19950^(767-i)*107352^i)", + "split_paid_calls_upper": "292512^768", + "product_or_uniform_word_materialized": false, + "rank_mass_surplus": "positive by separated t-moment advantage; no discarded target mass retained as credit", + "construction": "chronological product; specialize low complete targets to owned zero; retain all original paid calls; split paid calls on disjoint axes", + "uniform_compiler": { + "uniform_saving": "38525299/10000000000", + "gap": "1/10000000000", + "theta": "42/43", + "logarithm_power": 610, + "eta": { + "lower": "0.000000593894111688079899290956", + "upper": "0.000000593894111688079899290957" + }, + "ordinary_base_bound": { + "lower": "1677314.946209111847437090130884726124", + "upper": "1677314.946209111847437090130884726125" + }, + "previous_logarithm_power_fails": true, + "H": 293160000000000, + "N": "2^293160000000000", + "integer_test_exponent": 29316, + "preceding_integer_grid_fails": true, + "proof": "retained separated finite compiler and logarithmic majorant, with all new owned fields charged" + } + }, + "independent_finite_ratios": [ + { + "lower": "0.9999999874567925184826207876", + "upper": "0.9999999874567925184826207877" + }, + { + "lower": "0.8732851491950378396086248370", + "upper": "0.8732851491950378396086248371" + }, + { + "lower": "0.9493708822913205830769062941", + "upper": "0.9493708822913205830769062942" + } + ], + "independent_normalized_upper": { + "lower": "0.9999903669098213250012570639", + "upper": "0.9999903669098213250012570640" + }, + "event_counts": { + "ADD": 362, + "SWAP": 364, + "LOCAL": 36, + "IDLE_ONE": 32, + "QUERY": 4 + }, + "events": 798, + "discarded_source_stream": { + "ADD": 1682, + "SCALE": 100, + "LAMBDA": 82, + "IDLE_ONE": 68, + "SWAP": 91, + "QUERY": 4 + }, + "empty_body_targets": { + "count": 0, + "rank1_productive_credit": 0 + }, + "ordinary_basis_records": 1291152, + "ordinary_visible_records": 363507600, + "whole_job_route_count": 569592, + "whole_job_route_records": 740743004160, + "ordinary_record_allowance": 1000000000000, + "owned_bank_bound": 6878988, + "compiler_constants": { + "U_raw": "sum(i=0..767,19950^(767-i)*107352^i)", + "D": "19950^768-W", + "O": "6878988*U_raw+D", + "G": "1000000000000*U_raw+8*R+2*19950^768", + "E": "64*(Z+N+P+G+1)^3", + "B_constant": "P+E", + "C0": "32*N*B_constant^2" + }, + "ordinary_bootstrap": [ + { + "previous": "17/5000", + "covered": "19262649/5000000000", + "atom": "1/250", + "envelope": "4813399601/1250000000000", + "admitted": "38507/10000000", + "strict_debit": "24601/1250000000000" + }, + { + "previous": "38507/10000000", + "covered": "19262649/5000000000", + "atom": "1/250", + "envelope": "4815653101/1250000000000", + "admitted": "12039/3125000", + "strict_debit": "53101/1250000000000" + } + ], + "negative_controls": { + "missing_LOCAL": "reverse coefficient 0,0", + "missing_QUERY": "reverse coefficient 0,0", + "missing_IDLE_ONE": "reverse coefficient 0,1", + "missing_ADD": "reverse coefficient 0,1", + "missing_SWAP": "reverse coefficient 1,0", + "missing_second_native_in_pair": "reverse coefficient 19,19", + "division_by2_after_specialization": "integral A coefficient after lambda removal", + "QUERY_replaced_by_ADD_despite_q1_pass": "reverse coefficient 1,0", + "root_header_target_declared_identity": "reverse coefficient 19,19" + }, + "odd_port_determinant": { + "ring": "F2[q]/(q^2-1)", + "q_ne_1": true, + "single_layer_root_targets": 2109, + "single_layer_target_determinant": "q", + "allowed_D1_gate_determinants": "1", + "doubled_root_targets": 4218, + "doubled_target_determinant": "1", + "scope": "Fixed19q-targets per chain,111ports,existing scalar caller operations; no extra target or QSELF/owned operator. Not a general obstruction on BIT algorithms." + }, + "assumptions": [ + "native_all_columns", + "owned_erasure", + "compiler", + "precision_tape", + "analytic_recovery" + ], + "scope": "Paired E-free BIT specialization of#6980 with two actual native copies per stage; removes empty-body credit with unchanged complete signed moment crossing of#6834; inherited framework; no new kappa or native theorem reproof.", + "new_global_kappa_claim": false, + "seconds": 11.418902893999984 +} diff --git a/research/bit-funded-terminal-ingress/inputs/research/paired-query-only-bit/independent/interval_gate.py b/research/bit-funded-terminal-ingress/inputs/research/paired-query-only-bit/independent/interval_gate.py new file mode 100644 index 0000000000..6d5a751dde --- /dev/null +++ b/research/bit-funded-terminal-ingress/inputs/research/paired-query-only-bit/independent/interval_gate.py @@ -0,0 +1,127 @@ +#!/usr/bin/env python3 +"""Independent certified fixed-grid intervals (80 decimal places). +ln via 2 atanh after binary range reduction; exp(-x) via alternating +Taylor brackets. Uses only integer floor/ceiling, not Decimal transcendents. +""" +from fractions import Fraction as F +from functools import lru_cache +from pathlib import Path +import json,argparse +B=10**80 + +def ceildiv(a,b):return -((-a)//b) +def exact(q): + q=F(q);return q.numerator*B//q.denominator,ceildiv(q.numerator*B,q.denominator) +def add(a,b):return a[0]+b[0],a[1]+b[1] +def sub(a,b):return a[0]-b[1],a[1]-b[0] +def mul(a,b): + p=[a[i]*b[j] for i in (0,1) for j in (0,1)];return min(p)//B,ceildiv(max(p),B) +def div(a,b): + assert b[0]>0 + p=[F(a[i]*B,b[j]) for i in (0,1) for j in (0,1)] + return min(p).__floor__(),max(p).__ceil__() +def smul(a,q):return mul(a,exact(q)) +def atanh_log(y): + yi=exact(y);yy=mul(yi,yi);p=yi;s=(0,0) + for j in range(100):s=add(s,smul(p,F(2,2*j+1)));p=mul(p,yy) + # 0 <= tail <= 2 y^201/[201(1-y^2)] < 3*(1/3)^201. + return s[0],s[1]+ceildiv(3*B,3**201) +@lru_cache(None) +def log(r): + assert r>=1 + k=r.bit_length()-1;y=F(r-2**k,r+2**k) + a=atanh_log(y);b=atanh_log(F(1,3));return add(a,smul(b,k)) +def expminus(x): + assert 0<=x[0]<=x[1]0 and margins[str(hi)][1]<0 and margins[str(tested)][0]>0 + target=moment(T,tested);paid=moment(P,tested) + alpha=div(paid,target) + # Tail exponent = 1-tested+1/7; argument exp may not be negative. + # r^(1-tested+1/7)=r^(1-tested)* exp(log(r)/7). + def exppos(x): + assert 0<=x[0]<=x[1]0 and gap.numerator==1;step=gap.denominator + wins=lambda j:(step*j+1)**written<2**j + l,h=1,2 + while not wins(h):l,h=h,2*h + while h-l>1: + m=(l+h)//2 + if wins(m):h=m + else:l=m + assert wins(h) and not wins(h-1) + # Monotonicity: upper derivative bound on [0, cap]. + derivative=(0,0) + for rr in T.keys()|P.keys(): + c=T.get(rr,0)-P.get(rr,0);r=int(rr) + term=mul(power(r,cap if c>=0 else 0),log(r));derivative=add(derivative,smul(term,-c)) + assert derivative[1]<0 + result=dict(claim=str(claim),tested=str(tested),raw_bracket=[str(lo),str(hi)],moment_margins={k:show(v) for k,v in margins.items()},moment_margin_float={k:value(v) for k,v in margins.items()},derivative_upper=float(F(derivative[1],B)),alpha=value(alpha),gamma=value(gamma),delta=value(delta),minimum_log_power=lp,written_log_power=written,compiler_gap=str(gap),H=str(step*h),BIT_pin=str(cap),BIT_margin=str(cap-tested)) + # Outer formulas evaluated independently after algebraically substituting + # b=k+5g,a=k+4g,q=k+3g,epsilon=1-g,beta=1-3g. + k=claim;g=gap;b=k+5*g;a=k+4*g;q=k+3*g;ep=1-g;be=1-3*g;r0=g/10;stop=layout=g + sig=1-b;tau=1-a;internal=tau+(1-stop)*max(sig-tau,0);leaf=sig+stop*(1-sig);lam=1-(q+a)/2;xi=ep*(1+q)-F(3,32)+layout;key=be+1-ep + M=[ep*q,a,1-ep+q*be,1-ep+a*be,1-ep+be,F(3,32)+xi-ep,xi+F(1,2)-ep,ep,1-(ep+be+48-128+2)] + checks=[cap-a,b-a,q,b-q,a-q,stop,1-stop,(1-stop)*b-a,1-internal-q,1-leaf-q,lam-tau,lam-sig,lam-internal,1-q-lam,1-q-leaf,ep,1-ep,xi-F(1,2),ep-xi,be,ep-be,1-be,1-(2*xi-2)-r0-be,1-(2*xi-2)-be,1-ep-r0,1-ep,r0,1-key,1-be-2*(1-ep),128-48-be,layout,ep-a,F(1,32)-b,F(2**45-7**16),F(2),2-xi,F(5),1-be,1-be,1-ep,M[2]-M[0],g,k-F('.001730970419199163702738'),1-ep,F(11,2)]+[x-k for x in M] + functional=[1-be,be*(1-F(3,1000)),128-48-ep-be-1,be*(1-F(1,250))] + assert len(checks)==54 and len(functional)==4 and min(checks+functional)>0 + result['outer']=dict(strict_count=54,functional_count=4,minimum_margin=str(min(checks+functional)),BIT_just_below_effective_rejected=(a-F(1,10**12))-a<0) + # Input-lift is only needed on [1-tested_complex,1]. A stronger BIT + # pin is irrelevant to this interval; the source's crude BIT-wide bound + # is not imported beyond its valid range. + pos={7:1,3:1,5:1};neg={9:1,4:1,1:2};d1=(0,0);curvature=(0,0) + for hist,sign in ((pos,1),(neg,-1)): + for r,c in hist.items(): + d1=add(d1,smul(log(r),sign*c*r)) + curvature=add(curvature,smul(mul(log(r),log(r)),c*r)) + lift_cap=cap if cap<=F('.00376669') else tested + assert tested<=lift_cap and F(d1[1],B)+lift_cap*F(curvature[1],B)<0 + lifts={} + for price in (claim,tested): + lift=sub(moment(pos,price),moment(neg,price));assert lift[0]>0 + assert price*(-F(d1[1],B))-price*price*F(curvature[1],B)/2>0 + lifts[str(price)]=show(lift) + result['input_lift']=dict(margins=lifts,interval_kappa_cap=str(lift_cap),derivative_upper_on_required_interval=str(F(d1[1],B)+lift_cap*F(curvature[1],B)),source_BIT_wide_crude_bound_would_be=str(F(d1[1],B)+cap*F(curvature[1],B))) + return result +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('audit');p.add_argument('--claim',default='.00362852408');p.add_argument('--tested',default='.00362852408007');p.add_argument('--lower',default='.00362852408398727978896072723289');p.add_argument('--upper',default='.00362852408398727978896072723290');p.add_argument('--out',required=True);p.add_argument('--bit-pin',default='.00376669');a=p.parse_args() + r=gate(json.loads(Path(a.audit).read_text())['invoice'],a.claim,a.tested,a.lower,a.upper,a.bit_pin);Path(a.out).write_text(json.dumps(r,indent=2)+'\n');print(json.dumps(r,indent=2)) diff --git a/research/bit-funded-terminal-ingress/inputs/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz b/research/bit-funded-terminal-ingress/inputs/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..b718d6b2848215ad785022106dfa9f871a3d1c0c GIT binary patch literal 111747 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zrX5;qRA0PXYCKZ!d&5zF+J`I3@->~FLd)hxP*TaXH9;mJ5>|=KEfh++wn?63ZY}gN zr5h|GrgV)nN!Z-9mVa9;fLLG1M)H|eYo=5>L$sEQtx@u|O&`e9kV+R<37az`1le*d zYD?x*kUp78=pt-MrW?y--^XeR-yxNamBuo{=5{eTl(5lRmMUAUg*I9+x1@)qUx`NY zg|XPs)V1$p= deadline: + raise TimeoutError("same table endpoint consistency checks exceeded cap") + final = [(1 << i) ^ v for i, v in zip(block, delta)] + if rnk(final) != len(block): + continue + feasible += 1 + best_nz = max(best_nz, sum(bool(v) for v in delta)) + independent = rnk(delta) + if independent > best_rank: + best_rank = independent + witness = delta + assert feasible >= 1 and best_rank <= best_nz + reports.append({"banks": block, "tested_choices": tested, + "endpoint_preserving_choices": feasible, + "maximum_nonzero_changes": best_nz, + "maximum_independent_return_directions": best_rank, + "rank_attaining_deltas": [positions(v) for v in witness]}) + return {"blocks": reports, "endpoint_preserving_nonzero_upper": sum(b["maximum_nonzero_changes"] for b in reports), + "endpoint_preserving_independent_upper": sum(b["maximum_independent_return_directions"] for b in reports), + "singleton_own_pivot_only": sum(len(b["banks"]) == 1 for b in reports), + "own_pivot_only_delta_spaces": sum(len(part) == 1 for part in bases)} + + +def controls(): + # One initial greedy choice must be replaced to admit the second bank. + a = transversal([[(1, 1), (2, 2)], [(1, 1)]]) + assert len(a[0]) == 2 and (0, 2, 2) in a[0] + a = transversal([[(1, 1)], [(1, 1)], [], [(2, 2)]]) + assert len(a[0]) == 2 and len(a[1]) == 3 and a[2] == 1 + # Two raw outside-contaminated sources can yield one pure terminal direction. + w = {} + insert(w, 1, 0) + insert(w, 2, 1) + assert intersection_projection([5, 6], w) == (1, [(1, 3)]) + assert intersection_projection([5], w) == (0, []) + # Two rows differing by an unchanged arrival have the same quotient. + assert reduce(w, 3) == reduce(w, 2) == (0, 1) + # A bare own-pivot direction cancels the original row under additive replacement. + endpoint = endpoint_gate([[(1, 1)], [(2, 2), (1, 1)]], monotonic()+1) + assert endpoint["endpoint_preserving_independent_upper"] == 1 + assert endpoint["endpoint_preserving_nonzero_upper"] == 1 + # Invertible endpoint can permit two off-diagonal-looking changes only when + # their diagonal/cross-slot combination preserves the full row rank. + endpoint = endpoint_gate([[(1, 1), (2, 2)], [(1, 1), (2, 2)]], monotonic()+1) + assert endpoint["endpoint_preserving_independent_upper"] == 2 + + +def timeline(w, deadline): + n = w["public"] + q = w["start"]+[None]*w["owned_fields"] + x = [1 << j for j in range(n)]+[0]*w["owned_fields"] + chart = defaultdict(dict) + moves = {} + touch = defaultdict(list) + + def observe(j, cut, kind): + if x[j]: + chart[q[j]].setdefault((j, x[j]), (cut, kind)) + + for j in range(n): + observe(j, 0, "initial") + for t, (op, j, *a) in enumerate(w["program"]): + if t % 1024 == 0 and monotonic() >= deadline: + raise TimeoutError("one 22-bank prebirth map exceeded its cap") + touch[j].append(t) + if op == "MOVE": + f, g = a + assert q[j] == f and f != 1 + moves[t] = (j, f, g, x[j]) + q[j] = g + elif op == "ADD": + k, f = a + assert q[j] == q[k] == f + touch[k].append(t) + x[j] ^= x[k] + elif op == "SWAP": + k, = a + touch[k].append(t) + q[j], q[k] = q[k], q[j] + x[j], x[k] = x[k], x[j] + observe(k, t+1, op) + elif op == "INIT": + assert q[j] is None and a[0] != 1 + q[j], x[j] = a[0], 0 + else: + assert op == "CLEAR" and q[j] == a[0] != 1 + q[j], x[j] = None, 0 + observe(j, t+1, op) + endpoint = [1 << j for j in range(n)]+[0]*w["owned_fields"] + for j in range(111): + endpoint[111+j] ^= 1 << j + assert x == endpoint and q == w["final"]+[None]*w["owned_fields"] + assert len(moves) == 2871 + windows = {} + for t, (j, _, _, _) in moves.items(): + k = touch[j].index(t) + windows[t] = [touch[j][k-1]+1 if k else 0, + touch[j][k+1] if k+1 < len(touch[j]) else len(w["program"])] + return chart, moves, windows, endpoint + + +def library(mark, observations, moves, windows, retime): + t = mark["event"] + owner, source, target, original = moves[t] + assert target == 1 and original == encoded(mark["prefix_input"]) + assert mark["pivot_quiet_window"] == windows[t] + horizon = windows[t][1] if retime else t + seen = {} + routes = set() + + def add_chart(f): + for (j, row), (cut, kind) in observations.get(f, {}).items(): + if cut <= horizon and (f, j, row) != (source, owner, original): + witness = ("physical", f, cut, j, kind) + seen.setdefault(row, witness) + routes.add(witness) + + add_chart(source) + for variant in mark["variants"]: + f = variant["literal_chart"] + if f is not None: + add_chart(f) + for e in variant["virtual_bank_events"]: + if e == t: + continue + j, g, last, row = moves[e] + assert last == 1 + available = windows[e][0] if retime else e+1 + if available <= horizon: + witness = ("virtual", g, available, j, e) + seen.setdefault(row, witness) + routes.add(witness) + return seen, len(routes), horizon + + +def raw_basis(rows): + basis = {} + for row in rows: + insert(basis, row) + return [value for value, _ in basis.values()] + + +def scope(marks, observations, moves, windows, terminal, retime, deadline): + bank_rows, bases = [], [] + for mark in marks: + source, count, horizon = library(mark, observations, moves, windows, retime) + rows = raw_basis(sorted(source)) + inside, projected = intersection_projection(rows, terminal) + bases.append(projected) + digest = sha256(json.dumps(sorted((v, w) for v, w in source.items()), separators=(",", ":")).encode()).hexdigest() + # Physical caches are observations at specific clocks. Virtual entries + # are old paid input rows with an exact compatible midpoint certificate. + bank_rows.append({"event": mark["event"], "deadline_cut": horizon, + "observed_coefficient_rows": len(source), "route_observations": count, + "source_rank": len(rows), "source_intersection_terminal_rank": inside, + "projected_rank": len(projected), "source_provenance_sha256": digest, + "source_witnesses": [{"row": positions(v), "path": list(w)} + for v, w in sorted(source.items())], + "quotient_basis": [positions(c) for c, _ in projected]}) + if monotonic() >= deadline: + raise TimeoutError("one 22-bank prebirth map exceeded its cap") + assignment, restricted, subrank = transversal(bases) + endpoint = endpoint_gate(bases, deadline) + return {"scope": "quiet-window union" if retime else "literal birth clock", + "banks": bank_rows, "compatible_stock_upper": len(assignment), + "independent_assignment": [{"bank": i, "event": marks[i]["event"], + "quotient": positions(v), "terminal_row": positions(r)} + for i, v, r in assignment], + "rado_restricted_banks": restricted, "rado_restricted_rank": subrank, + "rado_exact_upper": len(marks)-len(restricted)+subrank, + "endpoint_consistency": endpoint, + "unresolved_target_clearing_assignments_within_scope": 0 if endpoint["endpoint_preserving_independent_upper"] < 21 else 22} + + +def main(root, seconds): + deadline = monotonic()+seconds + controls() + pins = {} + for line in Path(__file__).with_name("SOURCES.tsv").read_text().splitlines(): + name, digest, _ = line.split("\t") + if name in pins: + raise ValueError(f"duplicate source path {name}") + pins[name] = digest + + def read(name): + data = (root/name).read_bytes() + if sha256(data).hexdigest() != pins[name]: + raise ValueError(f"SHA-256 mismatch: {name}") + return data + + for key in pins: + read(key) + peer = json.loads(read("pr7244/PROPOSED-CLAIM.json")) + assert peer["kappa"] == "455671545979/125000000000000" + assert peer["complex_BIT_premise"] == "376669/100000000" + w = json.loads(gzip.decompress(read(NATIVE))) + invoice = json.loads(read(INVOICE)) + maps = json.loads(read("pr7209/RESULT.json"))["bank_maps"] + assert len(maps) == 22 + dims = {int(i): s["dim"] for i, s in w["frames"].items()} + assert [i for i in dims if dims[i] == 8] == [1] and 1 not in w["start"] + chart, moves, windows, endpoint = timeline(w, deadline) + arrivals = {e: row for e, (_, _, g, row) in moves.items() if g == 1} + chosen = [m["event"] for m in maps] + assert len(arrivals) == 545 and len(set(chosen)) == 22 + basis = {} + for t, row in arrivals.items(): + if t not in chosen: + assert insert(basis, row)[0] + assert len(basis) == 523 + for j, t in enumerate(chosen): + assert dims[moves[t][1]] == 6 + assert insert(basis, arrivals[t], 1 << j)[0] + assert len(basis) == 545 + assert all(not reduce(basis, row)[0] for f, row in zip(w["final"], endpoint) if f == 1) + assert rnk(row for f, row in zip(w["final"], endpoint) if f == 1) == 545 + literal = scope(maps, chart, moves, windows, basis, False, deadline) + quiet = scope(maps, chart, moves, windows, basis, True, deadline) + assert literal["compatible_stock_upper"] <= quiet["compatible_stock_upper"] + spec = spec_from_file_location("prior", root/"pr7209/verify.py") + p = module_from_spec(spec) + spec.loader.exec_module(p) + ledger = p.terminal_ledger(w, dims) + for s in (literal, quiet): + s["raw_quotient_price"] = p.prices(root, invoice, w, dims, ledger, s["compatible_stock_upper"]) + endpoint = s["endpoint_consistency"] + s["endpoint_preserving_price"] = p.prices(root, invoice, w, dims, ledger, endpoint["endpoint_preserving_independent_upper"]) + s["endpoint_preserving_nonzero_price"] = p.prices(root, invoice, w, dims, ledger, endpoint["endpoint_preserving_nonzero_upper"]) + return {"status": "NO VERIFIED GAIN", "seconds_cap": seconds, "pins": pins, + "target": "10018846261809/2500000000000000", "retained_BIT_premise": peer["complex_BIT_premise"], + "banks": len(maps), "pending_census_cases": 0, "new_sites": 0, + "unchanged_terminal_rank": 523, "required_terminal_rank": 545, + "scope": [literal, quiet]} + + +if __name__ == "__main__": + parser = ArgumentParser(description=__doc__) + parser.add_argument("root", type=Path) + parser.add_argument("--seconds", type=int, default=480) + args = parser.parse_args() + if not 1 <= args.seconds <= 480: + parser.error("--seconds must be in 1..480") + print(json.dumps(main(args.root, args.seconds), sort_keys=True, indent=2)) diff --git a/research/bit-funded-terminal-ingress/predecessor/round23/SOURCES.tsv b/research/bit-funded-terminal-ingress/predecessor/round23/SOURCES.tsv new file mode 100644 index 0000000000..850072eb41 --- /dev/null +++ b/research/bit-funded-terminal-ingress/predecessor/round23/SOURCES.tsv @@ -0,0 +1,9 @@ +research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz 51203e7fc75ba10bd3ac3f8e675759f47e13d262bea66b6600d1e515095cad78 https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz +research/paired-query-only-bit/independent/interval_gate.py 8dc2bc4c64cba3f83c664373984a075f1a14b4d53958084091345c8cab189dec https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/independent/interval_gate.py +research/paired-query-only-bit/EFREE-RESULT.json a46b6c6040f75184cab5467656811ad988c216e3bc8e44d595a5015b6e49620b https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/e54523517d0f03e58352e647c403a5af3e525a57/research/paired-query-only-bit/EFREE-RESULT.json +pr7209/verify.py e153760831952878b5def1776811ea182ea6f3876f09262f7e81a10991ddbd94 https://raw.githubusercontent.com/ToikY/integer-mult-bounds/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/verify.py +pr7209/RESULT.json 0cba78ea171cea0327bb59d95fd4e7ddb45ce004a7966de763e3f18346e1aea1 https://raw.githubusercontent.com/ToikY/integer-mult-bounds/77feabfe187c669545908f6225dfb7f711d7360c/research/bit-terminal-main-bank-stock/RESULT.json +pr7244/PROPOSED-CLAIM.json 14e52a8a25f8f47fa8a9b1429246fa73f047707b4cc51a575154b60788b9e688 https://raw.githubusercontent.com/CrocSwap/integer-mult-bounds/4156504fa39efb51c550d218a9b94fe69dbce8f6/research/p104-two-cut-funded-split/PROPOSED-CLAIM.json +round22/verify.py 6c911eb044f9342459be2e21ef6c9c27d1c1fd47e58be87873c6e9656047c948 local-only sealed Round 22 bit/verify.py +round22/RESULT.json 6f4c3afc1185668de6e98ea1608170ae9db8ee5c2c5318b5d5a6577d609252e3 local-only sealed Round 22 bit/RESULT.json +round22/SOURCES.tsv 963e6412a7d3c6fdca55bfb5c7cddcf80c21f2a5ac99162a2c20ffb00bfe77e6 local-only sealed Round 22 bit/SOURCES.tsv diff --git a/research/bit-funded-terminal-ingress/predecessor/round23/verify.py b/research/bit-funded-terminal-ingress/predecessor/round23/verify.py new file mode 100644 index 0000000000..97b5b52e37 --- /dev/null +++ b/research/bit-funded-terminal-ingress/predecessor/round23/verify.py @@ -0,0 +1,272 @@ +"""Census of 523 unchanged-geometry BIT terminal donor ports.""" +from argparse import ArgumentParser +from collections import Counter, defaultdict +from fractions import Fraction +import gzip +from hashlib import sha256 +from importlib.util import module_from_spec, spec_from_file_location +import json +from pathlib import Path +from time import monotonic + + +NATIVE = 'research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz' +INVOICE = 'research/paired-query-only-bit/EFREE-RESULT.json' + + +def import_file(name, path): + spec = spec_from_file_location(name, path) + module = module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def read_pinned(root): + pins = {} + for line in Path(__file__).with_name('SOURCES.tsv').read_text().splitlines(): + name, digest, _ = line.split('\t') + if name in pins: + raise ValueError(f'duplicate dependency path: {name}') + pins[name] = digest + result = {} + for path, digest in pins.items(): + blob = (root/path).read_bytes() + if sha256(blob).hexdigest() != digest: + raise ValueError(f'SHA-256 mismatch: {path}') + result[path] = blob + return pins, result + + +def timeline(w, deadline): + n = w['public'] + frames = w['start'] + [None]*w['owned_fields'] + rows = [1 << i for i in range(n)] + [0]*w['owned_fields'] + observed = defaultdict(dict) + touches = defaultdict(list) + arrivals = {} + + def record(j, cut, op): + if rows[j]: + observed[frames[j]].setdefault((j, rows[j]), (cut, op)) + + for i in range(n): + record(i, 0, 'initial') + for t, (op, i, *args) in enumerate(w['program']): + if t % 1024 == 0 and monotonic() >= deadline: + raise TimeoutError('523-port donor census exceeded cap') + touches[i].append(t) + if op == 'MOVE': + f, g = args + assert frames[i] == f and f != 1 + if g == 1: + peers = {rows[j]: ('live', f, t, j) for j, chart in enumerate(frames) + if j != i and chart == f and rows[j]} + arrivals[t] = i, f, rows[i], peers + frames[i] = g + elif op == 'ADD': + j, f = args + assert frames[i] == frames[j] == f + touches[j].append(t) + rows[i] ^= rows[j] + elif op == 'SWAP': + j, = args + touches[j].append(t) + frames[i], frames[j] = frames[j], frames[i] + rows[i], rows[j] = rows[j], rows[i] + record(j, t+1, op) + else: + assert op in ('INIT', 'CLEAR') and args[0] != 1 + assert frames[i] == (None if op == 'INIT' else args[0]) + frames[i] = args[0] if op == 'INIT' else None + rows[i] = 0 + record(i, t+1, op) + want = [1 << i for i in range(n)] + [0]*w['owned_fields'] + for i in range(111): + want[111+i] ^= 1 << i + assert rows == want and frames == w['final'] + [None]*w['owned_fields'] + assert len(arrivals) == 545 + ends = {} + for t, (i, _, _, _) in arrivals.items(): + uses = touches[i] + j = uses.index(t) + ends[t] = uses[j+1] if j+1 < len(uses) else len(w['program']) + return arrivals, observed, ends, [row for f, row in zip(frames, rows) if f == 1] + + +def components(bases): + parent = list(range(len(bases))) + + def root(i): + while parent[i] != i: + parent[i] = parent[parent[i]] + i = parent[i] + return i + + for i, space in enumerate(bases): + for x, _ in space: + while x: + b = x & -x + j = b.bit_length()-1 + parent[root(j)] = root(i) + x ^= b + groups = defaultdict(list) + for i in range(len(bases)): + groups[root(i)].append(i) + return sorted(groups.values()) + + +def cap(support, shift, old_stock=12): + assert support <= shift <= 22 + return min(22, old_stock + support + shift) + + +def charged_refinements(root, price, word, dims, invoice): + """A separate full-volume positive-rank split for every new donor.""" + interval = import_file('interval', root/'research/paired-query-only-bit/independent/interval_gate.py') + ledger = price.terminal_ledger(word,dims) + copies = len(invoice['native_instances']) + assert copies == 36 + result = [] + for h in range(5): + stock = min(22,14+2*h) + relaxed = price.prices(root,invoice,word,dims,ledger,stock) + row = {'new_charged_donors': h, 'stock_upper': stock, 'also_bounds_all_larger_h': h == 4, + 'directed': {}} + for key, rec in relaxed.items(): + k = Fraction(key) + charge = interval.smul(interval.sub(interval.exact(2),interval.power(2,k)),copies) + lower, upper = map(Fraction,rec['net_upper']) + c0,c1 = map(Fraction,interval.show(charge)) + assert 0 < c0 <= c1 + net = lower-h*c1, upper-h*c0 + assert net[1] < 0 + row['directed'][key] = {'minimum_split_tariff_interval': [str(c0),str(c1)], + 'unbilled_net_upper_interval': [str(lower),str(upper)], + 'net_upper_after_split_lower_tariff': list(map(str,net))} + result.append(row) + return result + + +def run(root, seconds): + deadline = monotonic()+seconds + pins, data = read_pinned(root) + prev = import_file('round22', root/'round22/verify.py') + price = import_file('pr7209', root/'pr7209/verify.py') + assert cap(0, 0) == 12 and cap(4, 4) == 20 and cap(5, 5) == 22 + control = prev.transversal([[(1, 0), (2, 0)], [(1, 0)]]) + assert len(control[0]) == 2 + # An alternative leaving W cannot carry a valid new terminal payload. + example = {} + prev.insert(example, 1, 1) + assert prev.intersection_projection([2], example) == (0, []) + assert prev.intersection_projection([2, 3], example) == (1, [(1, 1)]) + word = json.loads(gzip.decompress(data[NATIVE])) + assert 1 not in word['start'] + dims = {int(f): x['dim'] for f, x in word['frames'].items()} + assert [f for f in dims if dims[f] == 8] == [1] + invoice = json.loads(data[INVOICE]) + peer = json.loads(data['pr7244/PROPOSED-CLAIM.json']) + assert peer['complex_BIT_premise'] == '376669/100000000' + marks = [x['event'] for x in json.loads(data['pr7209/RESULT.json'])['bank_maps']] + prev_result = json.loads(data['round22/RESULT.json']) + quiet = prev_result['scope'][1] + assert [v['event'] for v in quiet['banks']] == marks + old_gate = quiet['endpoint_consistency'] + assert old_gate['endpoint_preserving_independent_upper'] == 12 + singletons = [b['banks'][0] for b in old_gate['blocks'] if len(b['banks']) == 1] + assert len(singletons) == 10 + singleton_mask = prev.encoded(singletons) + arrivals, observed, ends, required = timeline(word, deadline) + donors = sorted(set(arrivals)-set(marks)) + assert len(donors) == 523 + order = donors+marks + marked_offset = len(donors) + W = {} + for i, t in enumerate(order): + assert prev.insert(W, arrivals[t][2], 1 << i)[0] + assert len(W) == prev.rnk(required) == 545 + assert all(not prev.reduce(W, x)[0] for x in required) + marked_spaces = [] + for i, entry in enumerate(quiet['banks']): + raw = prev.raw_basis(prev.encoded(x['row']) for x in entry['source_witnesses']) + _, space = prev.intersection_projection(raw, W) + assert prev.rnk(v >> marked_offset for v, _ in space) == entry['projected_rank'] + marked_spaces.append(space) + all_scopes = [] + for retime in (False, True): + donor_maps = [] + donor_spaces = [] + eligible = [] + full_bases = [] + single_bases = [] + donor_sets = [] + for i, t in enumerate(donors): + j, f, old, live = arrivals[t] + candidates = dict(live) + if retime: + for (owner, row), (cut, op) in observed[f].items(): + if cut <= ends[t] and (owner, row) != (j, old): + candidates.setdefault(row, ('cached', f, cut, owner, op)) + raw = prev.raw_basis(sorted(candidates)) + inside, space = prev.intersection_projection(raw, W) + assert inside == len(space) + donor_spaces.append(space) + coord_space = [(v, row) for v, row in space if v != 1 << i] + # A pure cancellation is infeasible alone. If a bank has more + # choices, its whole span is still a safe upper for its projection. + if coord_space: + eligible.append(i) + mark_b = {} + sing_b = {} + for v, row in space: + proj = v >> marked_offset + prev.insert(mark_b, proj, row) + prev.insert(sing_b, proj & singleton_mask, row) + full_bases.append(list(mark_b.values())) + single_bases.append(list(sing_b.values())) + if mark_b: + donor_sets.append(i) + donor_maps.append({'event': t, 'owner': j, 'source_chart': f, + 'horizon': ends[t] if retime else t, + 'old_row': prev.positions(old), + 'source_rows': [{'row': prev.positions(x), 'witness': path} + for x, path in sorted(candidates.items())], + 'V_intersection_W_rank': inside, + 'projection_marked_basis': [prev.positions(v) for v, _ in mark_b.values()], + 'projection_singleton_basis': [prev.positions(v) for v, _ in sing_b.values()], + 'full_terminal_basis': [prev.positions(v) for v, _ in space]}) + if monotonic() >= deadline: + raise TimeoutError('523-port donor census exceeded cap') + matches = [] + for choices in (full_bases, single_bases): + assignment, restricted, restricted_rank = prev.transversal(choices) + matches.append({'rank': len(assignment), + 'assignments': [{'donor_index': i, 'event': donors[i], 'projection': prev.positions(v), + 'delta': prev.positions(x)} for i, v, x in assignment], + 'rado_restricted': restricted, 'rado_restricted_rank': restricted_rank}) + t, s = (m['rank'] for m in matches) + group = components(donor_spaces+marked_spaces) + caps = cap(s,t) + all_scopes.append({'scope': 'same-chart historical/quiet cache' if retime else 'same-cut physical peers', + 'donors': donor_maps, 'possibly_changed_donors': len(eligible), + 'donors_with_nonzero_old_marked_projection': len(donor_sets), + 'marked_quotient_rank': matches[0], 'isolated_singleton_projection_rank': matches[1], + 'terminal_support_component_sizes': dict(sorted(Counter(map(len,group)).items())), + 'maximum_component': max(map(len,group)), + 'components_with_marks': [[order[k] for k in g] for g in group if any(k>=523 for k in g)], + 'raw_stock_upper': caps, + 'price_upper': price.prices(root, invoice, word, dims, price.terminal_ledger(word,dims),caps)}) + return {'status':'NO VERIFIED GAIN','pins':pins,'seconds_cap':seconds,'completed_donor_slots':523, + 'pending_donor_slots':0,'new_sites':0,'quiet_singleton_mark_positions':singletons, + 'target':'10018846261809/2500000000000000','scopes':all_scopes, + 'one_separately_charged_split_per_additional_donor': charged_refinements(root,price,word,dims,invoice)} + + +if __name__ == '__main__': + p = ArgumentParser(description=__doc__) + p.add_argument('input_root',type=Path) + p.add_argument('--seconds',type=int,default=480) + args = p.parse_args() + if not 1 <= args.seconds <= 480: + p.error('--seconds must be in 1..480') + print(json.dumps(run(args.input_root,args.seconds),sort_keys=True,indent=2)) diff --git a/research/bit-funded-terminal-ingress/price/AUDIT.stdout b/research/bit-funded-terminal-ingress/price/AUDIT.stdout new file mode 100644 index 0000000000..490a8193f6 --- /dev/null +++ b/research/bit-funded-terminal-ingress/price/AUDIT.stdout @@ -0,0 +1 @@ +PASS_INDEPENDENT_AFFINE_TARIFF_SIGN_CHECK diff --git a/research/bit-funded-terminal-ingress/price/RESULT.json b/research/bit-funded-terminal-ingress/price/RESULT.json new file mode 100644 index 0000000000..1d6204770c --- /dev/null +++ b/research/bit-funded-terminal-ingress/price/RESULT.json @@ -0,0 +1,46 @@ +{ + "10018846261809/2500000000000000": [ + { + "first_net_lower": "5300293516982772591933381943724216712795573028734383677621506058918482154367529/25000000000000000000000000000000000000000000000000000000000000000000000000000000", + "h": 0, + "needed_marked_returns": 21, + "needed_singleton_expansions": 7, + "previous_net_upper": "-519762614126509529904861626294638699402071448759354248667521211407342849800997/25000000000000000000000000000000000000000000000000000000000000000000000000000000" + }, + { + "first_net_lower": "307166488825187579450879604473302118958472892927233526561951476997620549981923/25000000000000000000000000000000000000000000000000000000000000000000000000000000", + "h": 1, + "needed_marked_returns": 21, + "needed_singleton_expansions": 5, + "previous_net_upper": "-5512889642284094542387363965545553293239171584566504399727075793328204454185469/25000000000000000000000000000000000000000000000000000000000000000000000000000000" + }, + { + "first_net_lower": "1134095591776884688806620835241242937319017234613821301791424165402583960887223/25000000000000000000000000000000000000000000000000000000000000000000000000000000", + "h": 2, + "needed_marked_returns": 22, + "needed_singleton_expansions": 4, + "previous_net_upper": "-4685960539332397433031622734777612474878627242879916624497603104923241043269063/25000000000000000000000000000000000000000000000000000000000000000000000000000000" + } + ], + "1002040748181/250000000000000": [ + { + "first_net_lower": "662827707971335742061212885631086272599000810803918864742678886617745744727637/3125000000000000000000000000000000000000000000000000000000000000000000000000000", + "h": 0, + "needed_marked_returns": 22, + "needed_singleton_expansions": 8, + "previous_net_upper": "-64791678713786713991428655407157821446333969434421068029891140570462689737929/3125000000000000000000000000000000000000000000000000000000000000000000000000000" + }, + { + "first_net_lower": "154358822671256602863000514718344050368937676378955012214251320546702521783609/12500000000000000000000000000000000000000000000000000000000000000000000000000000", + "h": 1, + "needed_marked_returns": 22, + "needed_singleton_expansions": 6, + "previous_net_upper": "-2756118724069233221347565649434632325812401444574404718876028788206131216078079/12500000000000000000000000000000000000000000000000000000000000000000000000000000" + }, + { + "full_net_upper": "-4685186373085659525037701026175313979316255780915530869084425810755155859407023/25000000000000000000000000000000000000000000000000000000000000000000000000000000", + "h": 2, + "unaffordable": true + } + ] +} diff --git a/research/bit-funded-terminal-ingress/price/audit.py b/research/bit-funded-terminal-ingress/price/audit.py new file mode 100644 index 0000000000..7a29606f3e --- /dev/null +++ b/research/bit-funded-terminal-ingress/price/audit.py @@ -0,0 +1,45 @@ +"""Check the return-stock crossing from the already sealed directed intervals.""" +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path +import sys + + +PIN = "1acd03fec0213cda8c44f4914c4c0b0c2e2124d7a0dc0586689e80bbc0fb8646" + + +def main(path, result): + data = path.read_bytes() + assert sha256(data).hexdigest() == PIN + frozen = json.loads(data) + result = json.loads(result.read_bytes()) + receipt = frozen["scopes"][1]["paid_refinement_price"] + for kappa, cases in result.items(): + stock = {row["stock_upper"]: row["directed"][kappa] for row in receipt} + fee = tuple(map(Q, stock[22]["minimum_split_charge"])) + + def bound(n, h): + if n in stock: + lo, hi = map(Q, stock[n]["raw_net"]) + else: + # The #7209 retained price is affine in the return count. + even = [tuple(map(Q, stock[q]["raw_net"])) for q in (n - 1, n + 1)] + lo, hi = ((x + y) / 2 for x, y in zip(*even, strict=True)) + return lo - h * fee[1], hi - h * fee[0] + + for row in cases: + h = row["h"] + if row.get("unaffordable"): + assert bound(22, h)[1] < 0 + else: + n = row["needed_marked_returns"] + assert bound(n - 1, h)[1] < 0 < bound(n, h)[0] + assert [r.get("needed_singleton_expansions") for r in result[frozen["target"]]] == [7, 5, 4] + assert [r.get("needed_singleton_expansions") for r in result[frozen["trial"]]] == [8, 6, None] + print("PASS_INDEPENDENT_AFFINE_TARIFF_SIGN_CHECK") + + +if __name__ == "__main__": + assert __debug__ + main(*(Path(x) for x in sys.argv[1:])) diff --git a/research/bit-funded-terminal-ingress/price/verify.py b/research/bit-funded-terminal-ingress/price/verify.py new file mode 100644 index 0000000000..65966652bc --- /dev/null +++ b/research/bit-funded-terminal-ingress/price/verify.py @@ -0,0 +1,77 @@ +"""Jointly price marked library expansions and separate BIT split charges.""" +from fractions import Fraction as Q +from hashlib import sha256 +import gzip +import json +from pathlib import Path +import runpy +import sys + + +PRICE = "pr7209/verify.py" +BIT_ROOT = "research/paired-query-only-bit" +GATE = f"{BIT_ROOT}/independent/interval_gate.py" +INVOICE = f"{BIT_ROOT}/EFREE-RESULT.json" +WORD = f"{BIT_ROOT}/retained/inputs/BIT-NATIVE-WORD.json.gz" +PINS = { + PRICE: "e153760831952878b5def1776811ea182ea6f3876f09262f7e81a10991ddbd94", + GATE: + "8dc2bc4c64cba3f83c664373984a075f1a14b4d53958084091345c8cab189dec", + INVOICE: + "a46b6c6040f75184cab5467656811ad988c216e3bc8e44d595a5015b6e49620b", + WORD: + "51203e7fc75ba10bd3ac3f8e675759f47e13d262bea66b6600d1e515095cad78", +} +INCIDENCE = "1acd03fec0213cda8c44f4914c4c0b0c2e2124d7a0dc0586689e80bbc0fb8646" + + +def auth(path, pin): + contents = path.read_bytes() + if sha256(contents).hexdigest() != pin: + raise ValueError(f"SHA-256 mismatch: {path.name}") + return contents + + +def main(root, incidence): + sources = {path: auth(root / path, pin) for path, pin in PINS.items()} + data = json.loads(auth(incidence, INCIDENCE)) + assert data["completed_incidence_ports"] == 185 and data["pending_incidence_ports"] == 0 + assert len(data["scopes"]) == 2 + for scope in data["scopes"]: + assert not scope["additional_useful_slots_with_old_paid_ingress"] + assert scope["t"]["rank"] == scope["s"]["rank"] == 1 + price = runpy.run_path(str(root / PRICE)) + gate = runpy.run_path(str(root / GATE)) + invoice = json.loads(sources[INVOICE]) + word = json.loads(gzip.decompress(sources[WORD])) + dims = {int(frame): info["dim"] for frame, info in word["frames"].items()} + ledger = price["terminal_ledger"](word, dims) + full = [price["prices"](root, invoice, word, dims, ledger, n) for n in range(23)] + output = {} + for key in (data["target"], data["trial"]): + exponent = Q(key) + charge = gate["smul"](gate["sub"](gate["exact"](2), gate["power"](2, exponent)), 36) + fee_lo, fee_hi = map(Q, gate["show"](charge)) + paid = [] + for h in range(3): + table = [] + for entry in full: + lo, hi = map(Q, entry[key]["net_upper"]) + table.append((lo - h * fee_hi, hi - h * fee_lo)) + n = next((j for j, bounds in enumerate(table) if bounds[1] > 0), None) + if n is None: + assert table[-1][1] < 0 + paid.append({"h": h, "unaffordable": True, "full_net_upper": str(table[-1][1])}) + else: + assert table[n - 1][1] < 0 < table[n][0] + paid.append({"h": h, "needed_marked_returns": n, + "needed_singleton_expansions": n - 12 - 2 * (1 + h), + "previous_net_upper": str(table[n - 1][1]), + "first_net_lower": str(table[n][0])}) + output[key] = paid + print(json.dumps(output, sort_keys=True, indent=2)) + + +if __name__ == "__main__": + assert __debug__ + main(Path(sys.argv[1]), Path(sys.argv[2])) diff --git a/research/bit-funded-terminal-ingress/replay.py b/research/bit-funded-terminal-ingress/replay.py new file mode 100644 index 0000000000..55900e383e --- /dev/null +++ b/research/bit-funded-terminal-ingress/replay.py @@ -0,0 +1,150 @@ +"""Offline replay of the exact funded-ingress census and coupled split price.""" + +import argparse +from hashlib import sha256 +import json +from pathlib import Path, PurePosixPath +import subprocess +import sys +from tempfile import TemporaryDirectory + +FROZEN = { + 'round22/RESULT.json': (726340, '6f4c3afc1185668de6e98ea1608170ae9db8ee5c2c5318b5d5a6577d609252e3'), + 'round23/RESULT.json': (5448489, '16863072b372547b6a062210da4d338704ce680ec22cd5e4e6702560c93a1bf7'), + 'RESULT.json': (8170267, '1acd03fec0213cda8c44f4914c4c0b0c2e2124d7a0dc0586689e80bbc0fb8646'), +} +REPLAY_FILES = frozenset({ + 'AUDIT.json', 'SOURCES.tsv', 'SUMMARY.json', 'audit.py', 'verify.py', + 'inputs/pr7209/RESULT.json', 'inputs/pr7209/verify.py', + 'inputs/pr7244/PROPOSED-CLAIM.json', 'inputs/pr7258/SUMMARY.json', + 'inputs/research/paired-query-only-bit/EFREE-RESULT.json', + 'inputs/research/paired-query-only-bit/independent/interval_gate.py', + 'inputs/research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz', + 'predecessor/round22/SOURCES.tsv', 'predecessor/round22/verify.py', + 'predecessor/round23/SOURCES.tsv', 'predecessor/round23/verify.py', + 'price/AUDIT.stdout', 'price/RESULT.json', 'price/audit.py', 'price/verify.py', +}) + + +def summary(raw): + report = json.loads(raw) + short = {key: value for key, value in report.items() if key != 'incidence'} + short['receipt_bytes'] = len(raw) + short['receipt_sha256'] = sha256(raw).hexdigest() + short['literal_midpoint_incidences'] = sum( + len(port['compatible_literal_charts']) for port in report['incidence'] + ) + short['paid_ingress_witnesses_by_scope'] = [ + sum(len(chart['paid_ingress']) for port in report['incidence'] + for chart in port['clocks'][i]['compatible_charts']) + for i in range(len(report['scopes'])) + ] + return short + + +def stage(root, inputs, scratch): + seen = set() + for row in (root / 'REPLAY.sha256').read_text(encoding='ascii').splitlines(): + digest, key = row.split(' ', 1) + rel = PurePosixPath(key) + if rel.as_posix() != key or key not in REPLAY_FILES or key in seen: + raise ValueError(f'Unexpected or duplicate replay path: {key}') + seen.add(key) + path = inputs.joinpath(*rel.parts[1:]) if rel.parts[0] == 'inputs' else root / rel + raw = path.read_bytes() + if sha256(raw).hexdigest() != digest: + raise ValueError(f'SHA-256 mismatch: {key}') + if rel.parts[0] in ('inputs', 'predecessor'): + target = scratch.joinpath(*rel.parts[1:]) + target.parent.mkdir(parents=True, exist_ok=True) + target.write_bytes(raw) + if seen != REPLAY_FILES: + raise ValueError(f'Missing replay paths: {sorted(REPLAY_FILES - seen)}') + + +def call(script, args, expect_ok=True): + command = [sys.executable, '-I', '-B', str(script), *map(str, args)] + result = subprocess.run(command, capture_output=True, check=False) + if expect_ok and (result.returncode or result.stderr): + sys.stderr.buffer.write(result.stderr) + raise ValueError(f'{script.name} did not finish cleanly (exit {result.returncode})') + return result + + +def exact(scratch, name, script, args): + raw = call(script, args).stdout + if (len(raw), sha256(raw).hexdigest()) != FROZEN[name]: + raise ValueError(f'Byte mismatch: generated {name}') + (scratch / name).write_bytes(raw) + return raw + + +def reject(script, args, expected): + result = call(script, args, expect_ok=False) + if result.returncode != 1 or result.stdout or expected not in result.stderr: + raise ValueError(f'{script.name} did not reject the forged receipt') + + +def controls(root, scratch, incidence_raw, price_raw): + price = json.loads(price_raw) + target = json.loads(incidence_raw)['target'] + assert price[target][2]['needed_singleton_expansions'] == 4 + price[target][2]['needed_singleton_expansions'] = 3 + price_path = scratch / 'PRICE.json' + price_path.write_text(json.dumps(price), encoding='utf-8') + reject(root / 'price/audit.py', (scratch / 'RESULT.json', price_path), + b'== [7, 5, 4]') + + report = json.loads(incidence_raw) + witness = next(w for port in report['incidence'] for clock in port['clocks'] + for chart in clock['compatible_charts'] for w in chart['paid_ingress']) + assert witness['after_cut'] == witness['event'] + 1 + witness['after_cut'] += 1 + incidence = scratch / 'RESULT.json' + incidence.write_text(json.dumps(report), encoding='utf-8') + reject(root / 'audit.py', (scratch, incidence), + b"assert candidates==seen and all(v['after_cut']==v['event']+1") + print('PASS_FORGED_PAID_CLOCK_AND_UNDERPRICED_THRESHOLD_REJECTION') + + +def main(): + if not __debug__: + raise RuntimeError('Run with assertions enabled') + root = Path(__file__).resolve().parent + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--inputs', type=Path, default=root / 'inputs') + parser.add_argument('--controls', action='store_true') + parser.add_argument('--write-incidence', type=Path, metavar='PATH', + help='save the verified full incidence receipt to a new file') + args = parser.parse_args() + with TemporaryDirectory(prefix='bit-funded-ingress-') as name: + scratch = Path(name) + stage(root, args.inputs.resolve(), scratch) + for prior in ('round22', 'round23'): + exact(scratch, f'{prior}/RESULT.json', scratch / prior / 'verify.py', (scratch, '--seconds', 480)) + raw = exact(scratch, 'RESULT.json', root / 'verify.py', (scratch, '--seconds', 480)) + if summary(raw) != json.loads((root / 'SUMMARY.json').read_text(encoding='utf-8')): + raise ValueError('Mismatch: SUMMARY.json') + incidence = scratch / 'RESULT.json' + if call(root / 'audit.py', (scratch, incidence)).stdout != (root / 'AUDIT.json').read_bytes(): + raise ValueError('Byte mismatch: AUDIT.json') + price = call(root / 'price/verify.py', (scratch, incidence)).stdout + if price != (root / 'price/RESULT.json').read_bytes(): + raise ValueError('Byte mismatch: price/RESULT.json') + price_path = scratch / 'PRICE.json' + price_path.write_bytes(price) + if call(root / 'price/audit.py', (incidence, price_path)).stdout != (root / 'price/AUDIT.stdout').read_bytes(): + raise ValueError('Byte mismatch: price/AUDIT.stdout') + if args.controls: + controls(root, scratch, raw, price) + if args.write_incidence: + with args.write_incidence.open('xb') as output: + output.write(raw) + print('PASS_BIT_FUNDED_INGRESS ports=185 added_useful=0 returns=14 target=7/5/4 strict=8/6/unaffordable no_new_kappa') + + +if __name__ == '__main__': + try: + main() + except (OSError, ValueError) as error: + sys.exit(str(error)) diff --git a/research/bit-funded-terminal-ingress/verify.py b/research/bit-funded-terminal-ingress/verify.py new file mode 100644 index 0000000000..74ec88d93e --- /dev/null +++ b/research/bit-funded-terminal-ingress/verify.py @@ -0,0 +1,264 @@ +"""One exact 185-port BIT incidence census for old funded rank-seven ingress.""" +from argparse import ArgumentParser +from collections import defaultdict +from fractions import Fraction +import gzip +from hashlib import sha256 +from importlib.util import module_from_spec, spec_from_file_location +import json +from math import lcm +from pathlib import Path +from time import monotonic + +NATIVE = 'research/paired-query-only-bit/retained/inputs/BIT-NATIVE-WORD.json.gz' +INVOICE = 'research/paired-query-only-bit/EFREE-RESULT.json' +TARGET = '10018846261809/2500000000000000' +TRIAL = '1002040748181/250000000000000' + + +def load_code(name, path): + s = spec_from_file_location(name,path) + m = module_from_spec(s) + s.loader.exec_module(m) + return m + + +def read(root): + pins, source = {}, {} + for line in Path(__file__).with_name('SOURCES.tsv').read_text().splitlines(): + name,digest,_ = line.split('\t') + if name in pins: + raise ValueError(f'duplicate dependency path: {name}') + pins[name] = digest + data = (root/name).read_bytes() + if sha256(data).hexdigest() != digest: + raise ValueError(f'SHA-256 mismatch: {name}') + source[name] = data + return pins,source + + +def primitive(row): + scale = lcm(*(x.denominator for x in row)) + return tuple(int(x*scale) for x in row) + + +def contains(rows, normal): + return all(sum(a*b for a,b in zip(row,normal,strict=True)) == 0 for row in rows) + + +def paid_timeline(w, deadline): + n = w['public'] + chart = w['start']+[None]*w['owned_fields'] + rows = [1<= deadline: + raise TimeoutError('185-port paid incidence exceeded cap') + touches[i].append(t) + if op == 'MOVE': + f,g = args + assert chart[i] == f and f != 1 + moves[t] = i,f,g,rows[i] + chart[i] = g + elif op == 'ADD': + j,f = args + assert chart[i] == chart[j] == f + touches[j].append(t) + rows[i] ^= rows[j] + elif op == 'SWAP': + j, = args + touches[j].append(t) + chart[i],chart[j] = chart[j],chart[i] + rows[i],rows[j] = rows[j],rows[i] + observe(j,t+1,op) + else: + assert op in ('INIT','CLEAR') and args[0] != 1 + assert chart[i] == (None if op == 'INIT' else args[0]) + chart[i],rows[i] = (args[0] if op == 'INIT' else None),0 + observe(i,t+1,op) + want = [1<>523 + lin.insert(marked,outside,row) + lin.insert(singleton,outside&mask,row) + return list(marked.values()),list(singleton.values()) + + +def rank_receipt(parts,events,lin): + assigned,subset,rank = lin.transversal(parts) + return {'rank':len(assigned),'rado_subset':subset,'rado_subset_rank':rank, + 'directions':[{'port':events[i],'projection':lin.positions(v),'source_row':lin.positions(row)} + for i,v,row in assigned]} + + +def bill(root,pricing,word,dims,invoice,t,s): + g = load_code('price_intervals',root/'research/paired-query-only-bit/independent/interval_gate.py') + ledger = pricing.terminal_ledger(word,dims) + copies = len(invoice['native_instances']) + assert copies == 36 + upper,need = [],[] + for h in range(6): + stock = min(22,12+min(22,t+h)+min(10,s+h)) + raw = pricing.prices(root,invoice,word,dims,ledger,stock) + full = pricing.prices(root,invoice,word,dims,ledger,22) + prices,requirements = {},{} + for key in (TARGET,TRIAL): + charge = g.smul(g.sub(g.exact(2),g.power(2,Fraction(key))),copies) + c0,c1 = map(Fraction,g.show(charge)) + p0,p1 = map(Fraction,raw[key]['net_upper']) + f0,f1 = map(Fraction,full[key]['net_upper']) + assert 0= 0: + requirements[key] = max(0,raw[key]['needed']-12-2*(t+h)) + upper.append({'additional_separately_charged_donors':h,'stock_upper':stock, + 'also_covers_more_charged_donors':h==5,'directed':prices}) + if requirements: + need.append({'additional_separately_charged_donors':h, + 'minimum_changed_singleton_marked_libraries':requirements}) + assert upper[-1]['stock_upper']==22 + return upper,need + + +def run(root,seconds): + deadline = monotonic()+seconds + pins,data = read(root) + lin = load_code('round22',root/'round22/verify.py') + pricing = load_code('pr7209',root/'pr7209/verify.py') + assert contains([(1,0)],(0,1)) and not contains([(1,1)],(0,1)) + prior = json.loads(data['round23/RESULT.json']) + local22 = json.loads(data['round22/RESULT.json']) + public22 = json.loads(data['pr7258/SUMMARY.json']) + peer = json.loads(data['pr7244/PROPOSED-CLAIM.json']) + assert prior['target'] == public22['target'] == TARGET + assert peer['complex_BIT_premise'] == public22['retained_BIT_premise'] == '376669/100000000' + assert public22['receipt_sha256'] == sha256(data['round22/RESULT.json']).hexdigest() + assert public22['scopes'][1]['endpoint_preserving_independent_stock'] == 12 + mark_maps = json.loads(data['pr7209/RESULT.json'])['bank_maps'] + marks = [m['event'] for m in mark_maps] + word = json.loads(gzip.decompress(data[NATIVE])) + invoice = json.loads(data[INVOICE]) + assert 1 not in word['start'] + dims = {int(f):x['dim'] for f,x in word['frames'].items()} + rows = {int(f):[primitive(tuple(Fraction(v) for v in r)) for r in x['B']] for f,x in word['frames'].items()} + normal = {f:primitive(tuple(Fraction(v) for v in pricing.normal(pricing.rref([tuple(map(Fraction,r)) for r in rows[f]])))) + for f in rows if dims[f]==7} + assert len(normal)==120 and [f for f in dims if dims[f]==8]==[1] + paid,window,history,required = paid_timeline(word,deadline) + terminal = {t:v for t,(_,_,g,v) in paid.items() if g==1} + donors = sorted(set(terminal)-set(marks)) + cohort = [t for t in sorted(terminal) if dims[paid[t][1]]<=6] + assert len(terminal)==545 and len(donors)==523 and len(cohort)==185 + assert set(marks)<=set(cohort) + W = {} + for i,t in enumerate(donors+marks): + assert lin.insert(W,terminal[t],1<= deadline: + raise TimeoutError('185-port paid incidence exceeded cap') + i,f,g,old = paid[t] + assert g==1 + mids = [mid for mid,n in normal.items() if contains(rows[f],n)] + if t in marks: + known = [v['literal_chart'] for v in mark_maps[marks.index(t)]['variants'] if v['literal_chart'] is not None] + assert sorted(mids)==sorted(known) + incidence[t] = {'event':t,'owner':i,'source_chart':f,'source_rank':dims[f], + 'paid_rank':8-dims[f],'quiet_window':window[t], 'marked':t in marks, + 'old_row':lin.positions(old),'compatible_literal_charts':mids, 'clocks':[]} + scopes = [] + for retime in (False,True): + all_m,all_s = [],[] + funded_useful, any_useful = [],[] + for t in sorted(terminal): + raw = baseline.get(t,set()) + funded = set() + grant = set() + if t in incidence: + cut = window[t][1] if retime else t + choices = [] + for mid in incidence[t]['compatible_literal_charts']: + paid_rows = [(e,i,f,row) for e,i,f,row in incoming[mid] if e=0 for x in bills) and len(funded_useful)>=2, + 'aggregate_stricter_survives': any(Fraction(x['directed'][TRIAL]['charged_net_upper'][1])>=0 for x in bills) and len(funded_useful)>=3}) + return {'status':'NO VERIFIED GAIN','pins':pins,'target':TARGET,'trial':TRIAL,'seconds_cap':seconds, + 'paid_moves':len(paid),'terminal_arrivals':len(terminal),'completed_incidence_ports':len(cohort), + 'pending_incidence_ports':0,'marked_ports_held_fixed':22,'unmarked_incidence_ports':163, + 'new_sites':0,'scopes':scopes,'incidence':list(incidence.values())} + + +if __name__=='__main__': + cli = ArgumentParser(description=__doc__) + cli.add_argument('input_root',type=Path) + cli.add_argument('--seconds',type=int,default=480) + args = cli.parse_args() + if not 1<=args.seconds<=480: + cli.error('--seconds must be in 1..480') + print(json.dumps(run(args.input_root,args.seconds),sort_keys=True,indent=2))