From f977a8a3dcb2983829d066a80420b7ded42d3e09 Mon Sep 17 00:00:00 2001 From: Riquelme Soares <104222380+hevlyo@users.noreply.github.com> Date: Mon, 19 Oct 2026 09:19:24 -0300 Subject: [PATCH] Record that staged544 helpers 600 and 601 are not signed-proportional. Their frame-(45,) consumer columns disagree on two of four consumers, so a same-frame signed capture does not transfer to this group. --- .../README.md | 96 +++++++++++++++++ .../SOURCES.json | 18 ++++ .../TASK.json | 72 +++++++++++++ .../VERIFY.json | 18 ++++ .../frozen/WORD-base.json.gz | Bin 0 -> 74428 bytes .../frozen/WORD-extra.json.gz | Bin 0 -> 74425 bytes .../verify.py | 100 ++++++++++++++++++ 7 files changed, 304 insertions(+) create mode 100644 research/staged544-helper600-sign-columns/README.md create mode 100644 research/staged544-helper600-sign-columns/SOURCES.json create mode 100644 research/staged544-helper600-sign-columns/TASK.json create mode 100644 research/staged544-helper600-sign-columns/VERIFY.json create mode 100644 research/staged544-helper600-sign-columns/frozen/WORD-base.json.gz create mode 100644 research/staged544-helper600-sign-columns/frozen/WORD-extra.json.gz create mode 100644 research/staged544-helper600-sign-columns/verify.py diff --git a/research/staged544-helper600-sign-columns/README.md b/research/staged544-helper600-sign-columns/README.md new file mode 100644 index 0000000000..0ff1289a3b --- /dev/null +++ b/research/staged544-helper600-sign-columns/README.md @@ -0,0 +1,96 @@ +# Signed columns of staged544 helpers 600 and 601 + +**Negative result. No new kappa.** The selected record is unchanged. + +## Scope + +The drawn catalogue card was `p104-side-correction`. Its named experiment, one +collection from #2981 with acquisition times, coefficients and dirty +restoration, is already open for flag 0 in #3915, #3669 and #3683. The same +present-head scan covers flags 1, 9 and 43, so another flag pass is the +card's pending-follow-up trigger. + +The next catalogue suggestion is `complex-rank-shape-decoder`. Its ideal +rank-16 screen already clears 5% in `levers.py`, and repacking the selected +word's idle remainder is a scope-change trigger of that card. The live handoff +in discussion 1166, comment 19038903, names a smaller unclaimed test on the +same alphabet that #4045 just bound: whether the complete consumer columns of +actual helpers 600 and 601 are signed-proportional under one common native +frame. This package runs that test. It does not emit a capture. + +## What is established + +Both frozen PR3945 words used by #4045 (`91afbb643f7f4ccf6f34b685ecd959eb790a0f94`) +carry the same consumer adds for helpers 600, 601, 602 and 604. Each helper is +read by exactly seven `add` events. The only frame common to the 600 and 601 +reads is `(45,)`, and on that frame the consumers are exactly 123, 175, 183 +and 202, each with coefficient ±1. + +In that consumer order the columns are + +| helper | 123 | 175 | 183 | 202 | +| --- | ---: | ---: | ---: | ---: | +| 600 | -1 | +1 | +1 | -1 | +| 601 | +1 | +1 | +1 | +1 | +| 602 | -1 | +1 | +1 | +1 | +| 604 | -1 | -1 | +1 | -1 | + +On both frozen PR3945 words, the frame-(45,) consumer columns of helpers 600 and 601 are neither equal nor opposite. + +The same split holds for every pair among the four helpers: each pair agrees +on some of these consumers and disagrees on others. A capture that needs one +global sign, as in the H6 same-frame sum/difference of #4048, therefore does +not apply to this group. Flipping the two disagreeing entries of column 601 +makes it equal to column 600, so the checker is not rejecting every pattern. + +The two word files are not identical. Their SHA-256 values are +`08e6c96fbe3dfec96cb8451b3867ef8c1a214109ecd1e5af7fcc28e0f05728d0` and +`d83c2ec9cecc0ad092d34ea4080b28a4fd7199579356b6d5a8fc6cd53ff93299`, matching +git blobs `806784bf99d9d15004d2d227d06268556a0726c8` and +`c531be7383ad3ba941600c7ced14e5e10d6d1c67` at the #4045 head. Only the named +consumer columns were compared. + +## Reproduce + +Python 3.12, standard library only, from the repository root: + +```sh +python3.12 -B scripts/research_package.py --package research/staged544-helper600-sign-columns +``` + +The direct check also works without Git: + +```sh +python3.12 -B research/staged544-helper600-sign-columns/verify.py +``` + +Expected marker: `PASS_STAGED544_HELPER600_SIGN_COLUMNS`. + +## Limits + +This does not rerun the #4045 support obstruction, the #4031 rank-4 screen, or +the #4048 H6 lattice. It does not price a partial capture, a nonmonomial +encoder, or any other helper pair. Adds where these helpers are destinations +are productions, not consumer columns, and are not part of the sign test. +No supplier, hosting bill, or selected-frontier change is claimed. The selected +baseline replay was not run: this checkout does not contain the assembly roots +that `research_baseline.py` imports. + +## Open next questions + +Can a capture that keeps the disagreeing consumers 123 and 202, and merges +only the agreeing consumers 175 and 183, reduce the complete child and +restoration bill? Those two consumers already share a sign, but the other two +do not, so both helpers stay necessary. A first step is to price one explicit +partial capture of consumers 175 and 183, including cleanup, against the +0.03825 allowance in #4045. No such map is exhibited here. + +## Credit + +Dugongue / #3945 supplies the two words. Chris R / Clear1nsight / #4045 +identifies helpers 600, 601, 602 and 604 and the rank-16 support obstruction. +Tekalign / #4048 supplies the same-frame signed-capture idea that this test +refuses to transfer. Gonzalo Mier / #4031 supplies the zero-charge screen +#4045 already separated from this interface. Riquelme Soares (@hevlyo), with +substantial AI assistance in the extraction, checker and write-up. Apache-2.0. +No independent human review is claimed. diff --git a/research/staged544-helper600-sign-columns/SOURCES.json b/research/staged544-helper600-sign-columns/SOURCES.json new file mode 100644 index 0000000000..0839f4876a --- /dev/null +++ b/research/staged544-helper600-sign-columns/SOURCES.json @@ -0,0 +1,18 @@ +{ + "schema_version": 1, + "base_commit": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "b1fea0c94436b236cc2b7d41a7be032811b94c81", + "sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "67f085acd86acd7d4e03922d9cf4b26bca66fed5", + "sha256": "47b42433f5a85809a3aadd29c2c339da2c6ed728e4f7762df6b88bccb7874cf0" + } + ] +} diff --git a/research/staged544-helper600-sign-columns/TASK.json b/research/staged544-helper600-sign-columns/TASK.json new file mode 100644 index 0000000000..40e8cff79c --- /dev/null +++ b/research/staged544-helper600-sign-columns/TASK.json @@ -0,0 +1,72 @@ +{ + "schema_version": 1, + "task_id": "complex-rank-shape-decoder", + "priority_revision": 6, + "base_commit": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", + "original_card": { + "id": "complex-rank-shape-decoder", + "question": "Can a decoder deliver the local paid mass in fewer, larger-rank children (block frame climbs instead of rank-1 to rank-3 steps)?", + "starting_points": [ + "docs/research/research-family-status.md", + "research/complex-local-word-ceiling/README.md", + "research/complex-decoder-field-extension-seed44/README.md", + "research/complex-frame-pair-decoders/README.md", + "research/selected-k8-unrestricted-ends/README.md", + "research/eisenstein-reduction-copy-floor/README.md" + ], + "methods": [ + "Find one exact small decoding identity whose frame path climbs in blocks, and price its complete per-call profile.", + "Bound the best effective child rank achievable for one fixed support alphabet, including copies, frames and restoration." + ], + "acceptance_gate": "A per-call local profile, with all copied information, frames and restoration counted, whose ceiling exceeds the selected word's by at least 5%; masked or overcomplete supports must change an assumption of the eight-term all-pairs bound. 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", + "research/complex-local-word-ceiling/verify.py" + ], + "expected": "PASS_COMPLEX_LOCAL_WORD_CEILING", + "inspect": "Read the selected word's per-call local profile, its packing ceiling and the lever table; run levers.py for the ideal budget of the lever you target.", + "scope": "Positive control and planning budget only; this is not a new construction or full cold replay." + }, + "first_experiment": "Before any synthesis, write the candidate per-call local profile (and centre charge / unpaid coordinates if changed) and screen it with ceiling.ceiling(); reject it if even the ideal ceiling does not beat the selected word's by your stated margin. Ideal budget: rank-16 delivery is 2.31x (levers.py).", + "bottleneck_link": "Rank-1 children are about half of recursive cost; the selected word's effective child rank is about 3.9. Larger-rank delivery lowers recursive cost per unit of paid mass.", + "allowed_variations": [ + "One masked, overcomplete or block decoder family with exact labels and supports.", + "A scoped lower bound on effective rank for one alphabet.", + "If the coverage law, template or guard changes, derive an applicable fully charged replacement bound instead of applying the incumbent ceiling outside its scope." + ], + "scope_change_triggers": [ + "Repacking idle remainders of an unchanged word (covered by the packing ceiling).", + "Repeating the eight-term all-pairs search inside its proved scope.", + "Only changing helper terminal subspaces and monotone frames within the fixed scalar word, entrances and cleanup contract already covered by #1995/#2013.", + "Searching below C=40 in the #2017 Eisenstein binary scalar-rectangle or fixed-support block-linear additive pairing model; specify a changed premise instead. This bound does not cover every complex decoder.", + "Continuing a partial cost improvement while leaving the same unpriced consumer, restoration or central-readout obligation unresolved; refresh the family expansion decision first. Local product-retiming evidence has a narrow scope and is not a ban on changed graphs or contracts." + ], + "overlap_terms": [ + "rank shape", + "block climb", + "masked decoder", + "overcomplete", + "effective rank" + ] + }, + "scope_status": "refined", + "actual_scope": "On the actual PR3945 consumer columns of helpers 600 and 601, is there one common native frame where the two coefficient columns are equal or opposite?", + "scope_change_reason": "The drawn card was p104-side-correction. Its named first experiment, one #2981 collection with times, coefficients and dirty restoration, is already open for flag 0 in #3915, #3669 and #3683, and the same present-head scanner covers flags 1, 9 and 43. Repeating that scan is the card's pending-follow-up trigger. The second suggestion is this rank-shape card. Its ideal rank-16 ceiling already clears the 5% screen in levers.py, and repacking the selected word's idle remainder is a stated scope-change trigger. The live handoff at discussion 1166 comment 19038903 names an unclaimed test on this same alphabet: signed proportionality of the complete consumer columns of actual helpers 600 and 601. This package runs that test and stops.", + "bottleneck_link": "Helpers 600 and 601 are two of the four actual rank-4 climbs whose one-call rank-16 transfer is already blocked. A same-frame signed capture would be a copy saving on that fixed alphabet. If their consumer columns are not equal or opposite, that capture cannot replace either climb, so the group's effective child rank stays four rank-4 calls.", + "budget_minutes": 60, + "stop_rule": "Stop when every consumer add of helpers 600 and 601 on both frozen words is classified at its frame. Do not emit a capture, retimed provider or search of other helpers.", + "outcome": "negative-result", + "evidence": "Both frozen words, SHA-256 08e6c96fbe3dfec96cb8451b3867ef8c1a214109ecd1e5af7fcc28e0f05728d0 and d83c2ec9cecc0ad092d34ea4080b28a4fd7199579356b6d5a8fc6cd53ff93299, give the same frame-(45,) columns. In consumer order 123,175,183,202 the signs are 600=(-1,+1,+1,-1) and 601=(+1,+1,+1,+1). Both ratios +1 and -1 occur, so no single sign matches them. The same split occurs for every pair among 600,601,602,604. A one-entry sign flip of 601 makes it equal to 600, so the checker is not vacuously negative.", + "author": "Riquelme Soares (@hevlyo)", + "ai_assistance": "Substantial AI assistance was used for the overlap check, column extraction, verifier and write-up. No independent human review is claimed.", + "open_questions": [ + { + "question": "Can a capture that keeps the disagreeing consumers 123 and 202, and merges only the agreeing consumers 175 and 183, reduce the complete child and restoration bill?", + "why_it_matters": "Those two consumers already have the same sign on helpers 600 and 601, but the other two do not, so a full-column capture is impossible. A partial merge would still leave both helpers alive.", + "first_step": "Price one explicit partial capture of consumers 175 and 183 only, including its cleanup, and compare it with the 0.03825 allowance recorded by PR4045.", + "blocked_by": "No such partial map is exhibited, and both helpers remain necessary for consumers 123 and 202." + } + ] +} diff --git a/research/staged544-helper600-sign-columns/VERIFY.json b/research/staged544-helper600-sign-columns/VERIFY.json new file mode 100644 index 0000000000..97440ad70b --- /dev/null +++ b/research/staged544-helper600-sign-columns/VERIFY.json @@ -0,0 +1,18 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [], + "commands": [ + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 60, + "checks": "Hashes both frozen words, reconstructs every consumer add of helpers 600 and 601, rejects a single sign on frame (45,), and accepts the one-entry sign-flip 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z|L=p=R)4%euDD&!bi^A2dPn`d62lI?m$`cTBY9Yhj)KiAz8c9&#YJ0nRyEq@<{mhrtjvsv^z2^AwA4R32W7CwdHo?q3PQ(I?0g-#_nzT zCFi^b+g=Amw$u z!L_$<%e8HJF1f#n>iyPG%P4M-X5RyqFIeY+>tk!(&z#4&;M{N7pwcWdJc%_3>8<2> z4^?W`^4qbt--2}}!r$4v8cTOaaK9R|yT%b(aeW)npQj5a#&4zz%bD)(C+17Mk~#L@ zHD8D$3*n2{`<9~}1?6NW)9Ekf*H4swE_6F$z0)I^$=%m>)E5E9{@b-cuuG%k%P8Rf z)aF;X>u)N1d)uONgb!=}kQ1O@%y(XMmUfQtznD1q%@*^9b)N5jEW&S@0QfUeBX;SNduq^*CQyWA!V( zdw)o?$UJy@YPc^w#T8r0)G#*Q#^imRCOj)XulVMlGN!yo8vcy9~LNeA5Z;e>?HbGdS4NyXtzhm##Mb++`^S z*hjrIx0ktzoV46tBK_qH^o6nGyyUab+dt)%O2(0d%x*6f_= 6, "short add") + if row[2] == helper: + require(isinstance(row[3], int), "non-integer coefficient") + require(isinstance(row[5], list), "frame is not a list") + found.append((section, index, row[1], row[3], tuple(row[5]))) + return found + + +def frame_column(adds, frame): + column = {} + for _section, _index, destination, coefficient, row_frame in adds: + if row_frame == frame: + column[destination] = column.get(destination, 0) + coefficient + require(set(column) == set(ORDER), "frame-(45,) consumers changed") + return tuple(column[destination] for destination in ORDER) + + +def single_sign(left, right): + ratios = [] + for x, y in zip(left, right): + require(x != 0 and y != 0 and abs(x) == abs(y), "column is not a sign pattern") + ratios.append(y // x) + return len(set(ratios)) == 1 + + +def main(): + require(LEMMA in (PACKAGE / "README.md").read_text(encoding="utf-8"), "README dropped the lemma") + columns = [] + for name in HASHES: + word = load_word(name) + one = {} + for helper in HELPERS: + adds = consumer_adds(word, helper) + require(len(adds) == 7, "expected 7 consumer adds for " + str(helper)) + column = frame_column(adds, FRAME) + require(column == SIGNS[helper], "frame column changed for " + str(helper)) + one[helper] = column + columns.append(one) + require(columns[0] == columns[1], "the two words disagree on these columns") + require(not single_sign(SIGNS[600], SIGNS[601]), "600 and 601 unexpectedly match") + for left in HELPERS: + for right in HELPERS: + if left < right: + require(not single_sign(SIGNS[left], SIGNS[right]), "pair unexpectedly matches") + flipped = (1, 1, 1, -1) + # Consumers 123 and 202 are the disagreements. Flipping both makes 601 equal 600. + repaired = (-1, 1, 1, -1) + require(repaired == SIGNS[600] and single_sign(SIGNS[600], repaired), "sign-flip control failed") + require(not single_sign(SIGNS[600], flipped), "partial flip must stay unmatched") + print("PASS_STAGED544_HELPER600_SIGN_COLUMNS") + + +if __name__ == "__main__": + main()