diff --git a/research/borrowed-centre-storage/ADAPTATIONS.json b/research/borrowed-centre-storage/ADAPTATIONS.json new file mode 100644 index 0000000000..b112a87b49 --- /dev/null +++ b/research/borrowed-centre-storage/ADAPTATIONS.json @@ -0,0 +1,44 @@ +{ + "borrowed_core.py": { + "adapted_sha256": "649ceef33362848e9856bb65e44b0beaf63272bbb7869259d6d84e241bac21c5", + "frozen_source": "sources/work/centre-encoding-campaign-20261014/root/review_borrowed_centres.py", + "scope": "Only package input paths, pinned archive-member loading, and output paths change.", + "source_sha256": "6f95a98f17d4e80217ab7108687cba58dcdacccf8ce09b6d95b2d5f679432ad2" + }, + "carried_alias.py": { + "adapted_sha256": "6139be39a8b5143b9768006c1af7bc100a91fb5bfb617bfa321797bb37e024f1", + "frozen_source": "sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/verify_alias_review.py", + "scope": "Only package input paths, pinned archive-member loading, and output paths change.", + "source_sha256": "69bf5c3c9044c6a14605ca52100825a0a2ecb397df1f12465ecc83e6ddb621ae" + }, + "clean_storage.py": { + "adapted_sha256": "a5e5021ed24f9a249071f1934911298aead5d4e2ab1d734d2dd00cc2afa26276", + "frozen_source": "sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/review_clean_idle_storage.py", + "scope": "Only package input paths, pinned archive-member loading, and output paths change.", + "source_sha256": "34583755f14fab094d46546a1cb08da7bde59748c0306cbe06c0b487154f6e06" + }, + "masked_query.py": { + "adapted_sha256": "19d8f0b68e80d04a349be1596720b639ca74558abc3d050337357085293fcc8a", + "frozen_source": "sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/check_masked_query.py", + "scope": "Only package input paths, pinned archive-member loading, and output paths change.", + "source_sha256": "a734b7a6894cd076c3bf4f7bc9cf809f0be7f77a470c6b6e6381908a4707bba1" + }, + "relative_storage.py": { + "adapted_sha256": "e17b011bf5c4f35d174866b2dbaac5662686aa0690bcd21606503ffb049edba2", + "frozen_source": "sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/review_relative_owner_reuse.py", + "scope": "Only package input paths, pinned archive-member loading, and output paths change.", + "source_sha256": "e8d6a3f7e55a6346b5df09fca532a5ff610866692474fc542976b64f207c74cc" + }, + "stream_cleanup.py": { + "adapted_sha256": "830f2e0e5852769a5fc4bda5643153e78abb9fb99487a9b2a6c2e2b3466cccdf", + "frozen_source": "sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/check_stream_cleanup.py", + "scope": "Only package input paths, pinned archive-member loading, and output paths change.", + "source_sha256": "bb9b82d7e04ead5898af603a2893062999a7245fda72a2e764e55f3fe21baac2" + }, + "unit_query.py": { + "adapted_sha256": "c9e0c9f668f799d11bcf0a7aed6fa0d9353f24401437e31f79194997bea6da00", + "frozen_source": "sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/review_unit.py", + "scope": "Only package input paths, pinned archive-member loading, and output paths change.", + "source_sha256": "08539f60c0ad05d79e6b8230597066a542fc36489bb0035968a104f6ad1ec443" + } +} diff --git a/research/borrowed-centre-storage/ADAPTATIONS.patch b/research/borrowed-centre-storage/ADAPTATIONS.patch new file mode 100644 index 0000000000..e35a6746fd --- /dev/null +++ b/research/borrowed-centre-storage/ADAPTATIONS.patch @@ -0,0 +1,357 @@ +--- sources/work/centre-encoding-campaign-20261014/root/review_borrowed_centres.py ++++ checks/borrowed_core.py +@@ -4,10 +4,15 @@ + from fractions import Fraction as Q + from hashlib import sha256 + from pathlib import Path ++import argparse + import gzip + import json + +-from check_decoder_rank_budget import ROOT, REPO, require, sources ++ROOT = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" ++ ++def require(value, message): ++ if not value: ++ raise ValueError(message) + + + def read(name, pin, compressed=False): +@@ -67,13 +72,19 @@ + + + def main(): ++ parser = argparse.ArgumentParser() ++ parser.add_argument("--out", type=Path, required=True) ++ args = parser.parse_args() ++ args.out.parent.mkdir(parents=True, exist_ok=True) + old = read("lanes/circuit-interface/CENTRE-FREE-PROGRAMS.json.gz", + "fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877", True) + new = read("lanes/circuit-interface/borrowed-centres/BORROWED-CENTRES-PROGRAMS.json.gz", + "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", True) + interface = read("lanes/circuit-interface/INTERFACE.json", + "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3") +- word = sources.load_local(REPO)["CANONICAL-WORD.json.gz"] ++ word_raw = (Path(__file__).resolve().parents[1] / "sources/selected/CANONICAL-WORD.json.gz").read_bytes() ++ require(sha256(word_raw).hexdigest() == "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", "Canonical word pin") ++ word = json.loads(gzip.decompress(word_raw)) + r = [[Q(row.get(str(p), 0)) for p in range(112)] for row in interface["R"]] + j = [[Q(a == b)-sum(r[k][a]*r[k][b] for k in range(8))/4 + for b in range(112)] for a in range(112)] +@@ -110,14 +121,14 @@ + scalar_macros=sum(gates.values()), real_primitives=cost, + baseline_omission_rejected=True, uncompute_omission_rejected=True) + report = dict(status="PASS_INDEPENDENT_BORROWED_CENTRES_NATIVE_INTERFACE", +- producer_imported=False, source_commit=sources.BASE, ++ producer_imported=False, source_commit="bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + borrowed_payload_sha256="6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + checks=checks, + scope="The actual unchanged native frames and children with arbitrary borrowed centre state. The old exact complex native contracts are inherited.", + not_claimed=["The stage-seven private cancellation preserves these fields", + "A global query carrier schedule", "A complete supplier or kappa gain"]) +- (ROOT / "root/BORROWED-CENTRES-REVIEW.json").write_text(json.dumps(report, indent=2, sort_keys=True)+"\n") ++ args.out.write_text(json.dumps(report, indent=2, sort_keys=True)+"\n") + print(report["status"]) + print(json.dumps(checks, sort_keys=True)) + +--- sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/verify_alias_review.py ++++ checks/carried_alias.py +@@ -5,14 +5,12 @@ + from hashlib import sha256 + from itertools import combinations + from pathlib import Path ++import argparse + import gzip +-import io + import json +-import subprocess +-import tarfile +- +- +-HERE = Path(__file__).resolve().parent ++ ++ ++HERE = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" / "lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias" + PHYSICAL = HERE.parents[2] + LANES = PHYSICAL.parents[1] + ROOT = LANES.parents[2] +@@ -57,10 +55,6 @@ + return json.loads(raw) + + +-def git_bytes(path): +- return pinned(subprocess.check_output( +- ["git", "show", BASE + ":" + path], +- cwd=ROOT / "worktrees/k5-centre-sharing"), path) + + + def rational(rows): +@@ -159,6 +153,10 @@ + + + def main(): ++ parser = argparse.ArgumentParser() ++ parser.add_argument("--out", type=Path, required=True) ++ args = parser.parse_args() ++ args.out.parent.mkdir(parents=True, exist_ok=True) + payload = read(PHYSICAL / "CARRIED-QUERY-ALIAS-PROGRAMS.json.gz", "payload", True) + pinned((PHYSICAL / "CARRIED-QUERY-ALIAS.md").read_bytes(), "note") + pinned((PHYSICAL / "verify_carried_query_alias.py").read_bytes(), "producer") +@@ -232,10 +230,10 @@ + baseline = [add({p: Q(1)}, row, -1) for p, row in zip(T, query)] + assert baseline[0][2] == Q(-1, 2) + +- with tarfile.open(fileobj=io.BytesIO(git_bytes(ARCHIVE)), mode="r:gz") as stream: +- phase = json.loads(pinned(stream.extractfile(PHASES).read(), PHASES)) +- template = json.loads(gzip.decompress(pinned(stream.extractfile(TEMPLATE).read(), TEMPLATE))) +- plan = json.loads(git_bytes(PLAN)) ++ selected = Path(__file__).resolve().parents[1] / "sources/alias-upstream" ++ phase = json.loads(pinned((selected / "DATA-PHASES.json").read_bytes(), PHASES)) ++ template = json.loads(gzip.decompress(pinned((selected / "GLOBAL-TEMPLATE.json.gz").read_bytes(), TEMPLATE))) ++ plan = json.loads(pinned((selected / "PLAN.json").read_bytes(), PLAN)) + assert (plan["K"], plan["T"], plan["M"], plan["L"], plan["live"]) == (4, 16, 73, 9, 14336) + assert {(c["stage"], c["replica"]) for c in plan["provider_calls"]} == {(s, t) for s in range(9) for t in range(16)} + for c in plan["provider_calls"]: +@@ -324,7 +322,7 @@ + assert omitted_signs_rejected > 0 + report = { + "status": "PASS_INDEPENDENT_CARRIED_QUERY_ALIAS", +- "source_base": BASE, "pins": PINS, ++ "source_base": BASE, "pins": PINS, "archive_replayed": False, "packaged_members_verified": True, + "complete_712_column_replays": ["captured_backward_word", "following_forward_word"], + "captured_backward": backward_bill, "following_forward": forward_bill, + "arbitrary_helper_outputs": 480, "arbitrary_cache_inputs": 8, +@@ -345,7 +343,7 @@ + "credit_scope": "Rank 584 per replica is paid. Productive rank 584 requires eight admitted independent owners and their full F73 outputs; this review does not admit their allocation.", + "excluded": ["Clean query access", "Restoration of source G", "A complete global data controller", "Final owner allocation", "Address and scalar-control invoice", "Full recursive or precision invoice", "Kappa improvement"], + } +- (HERE / "REVIEW.json").write_text(json.dumps(report, indent=2, sort_keys=True) + "\n") ++ args.out.write_text(json.dumps(report, indent=2, sort_keys=True) + "\n") + print(report["status"]) + print("all712=2 phase_identities=144 phase_values=389088 hole_eigenvalues=4096") + print("capture=4224 unload=64 windows=4 owner_rank=73") +--- sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/review_clean_idle_storage.py ++++ checks/clean_storage.py +@@ -3,16 +3,15 @@ + from collections import Counter, defaultdict + from hashlib import sha256 + from pathlib import Path ++import argparse + import gzip + import json +-import tarfile +- +- +-LANE = Path(__file__).resolve().parent +-CAMPAIGN = LANE.parents[1] +-REPO = CAMPAIGN.parents[1] ++ ++ ++CAMPAIGN = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" ++LANE = CAMPAIGN / "lanes/history-encoding" ++SELECTED = Path(__file__).resolve().parents[1] / "sources/selected" + SOURCE = CAMPAIGN / "lanes/source-domain/carried-owner-reuse" +-ARCHIVE = REPO / "worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz" + PINS = { + "CLEAN-IDLE-STORAGE.json": "294a8f4ac078cebb2545834f307628ca1578c635ca10d6c9d309900997d86ae1", + "CLEAN-IDLE-STORAGE.md": "1015479b667d70be74121c0abd347cbd8fd72938d932b544675b2236dd18864a", +@@ -59,16 +58,14 @@ + + + def main(): ++ parser = argparse.ArgumentParser() ++ parser.add_argument("--out", type=Path, required=True) ++ args = parser.parse_args() ++ args.out.parent.mkdir(parents=True, exist_ok=True) + frozen = {name: pinned(SOURCE/name, pin) for name, pin in PINS.items()} + receipt = json.loads(frozen["CLEAN-IDLE-STORAGE.json"]) +- digest = sha256() +- with ARCHIVE.open("rb") as stream: +- for block in iter(lambda: stream.read(1 << 20), b""): +- digest.update(block) +- require(digest.hexdigest() == "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", "Selected archive pin") + member = "candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz" +- with tarfile.open(ARCHIVE) as archive: +- raw = archive.extractfile(member).read() ++ raw = (SELECTED / "GLOBAL-TEMPLATE.json.gz").read_bytes() + member_hash = sha256(raw).hexdigest() + require(member_hash == "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760", "Selected template pin") + template = json.loads(gzip.decompress(raw)) +@@ -224,7 +221,7 @@ + reject(lambda: require(len({r["donor_family"] for r in chosen[:-1]} | {b}) == 512, "Repeated donor"), "duplicate_donor"), + ] + result = dict(status="PASS_INDEPENDENT_ALL512_CLEAN_IDLE_STORAGE", producer_imported=False, producer_executed=False, +- source_pins=PINS, archive_sha256=digest.hexdigest(), template_sha256=member_hash, ++ source_pins=PINS, archive_sha256="f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", archive_replayed=False, packaged_members_verified=True, template_sha256=member_hash, + alias_review_sha256=alias_pin, checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + original_event_counts=dict(counts), complete_schedule_events=482, complete_intervals=64, + selected_query_rows=512, globally_disjoint_source_donor_pairs=512, candidate_range=[3608, 10675], +@@ -236,7 +233,7 @@ + placement="Each capture is a complete sweep after B and before the next event; each erase is a complete sweep before F.", + negative_controls=controls, + excluded=["Common-frame query access", "Storage through F", "Source-code restoration", "A complete global controller", "Finite address, control, and precision invoice", "Kappa improvement"]) +- (LANE/"CLEAN-IDLE-STORAGE-REVIEW.json").write_text(json.dumps(result, indent=2, sort_keys=True)+"\n") ++ args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+"\n") + print(result["status"]) + print(json.dumps({k: result[k] for k in ("selected_query_rows", "exact_bridge_read_replacements", "scalar_real_primitives_subtotal")}, sort_keys=True)) + +--- sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/check_masked_query.py ++++ checks/masked_query.py +@@ -13,10 +13,10 @@ + import shutil + + +-ROOT = Path('/Users/aliromman/Projects/IntegerMultiplicationBounds') ++ROOT = Path(__file__).resolve().parents[1] / 'sources' + LANES = ROOT / 'work/centre-encoding-campaign-20261014/lanes' + SOURCE = LANES / 'paired-package-review/upstream-followthrough-20261015' +-HERE = Path(__file__).resolve().parent ++HERE = ROOT / 'work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review' + A = (0, 7, 20, 27, 36, 46, 57, 111) + TP = (21, 37, 47, 76, 81, 87, 92, 110) + V0 = A + TP +@@ -185,7 +185,7 @@ + + def main(): + parser = argparse.ArgumentParser() +- parser.add_argument('--out', type=Path, default=HERE / 'CHECK.json') ++ parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least three GiB free') + current_dir = SOURCE / 'current-query-encoder' +--- sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/review_relative_owner_reuse.py ++++ checks/relative_storage.py +@@ -3,16 +3,15 @@ + from collections import Counter, defaultdict + from hashlib import sha256 + from pathlib import Path ++import argparse + import gzip + import json +-import tarfile +- +- +-LANE = Path(__file__).resolve().parent +-CAMPAIGN = LANE.parents[1] +-REPO = CAMPAIGN.parents[1] ++ ++ ++CAMPAIGN = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" ++LANE = CAMPAIGN / "lanes/history-encoding" ++SELECTED = Path(__file__).resolve().parents[1] / "sources/selected" + SOURCE = CAMPAIGN / "lanes/source-domain/carried-owner-reuse" +-ARCHIVE = REPO / "worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz" + PORTS = [21, 37, 47, 76, 81, 87, 92, 110] + PINS = { + "RELATIVE-REUSE.json": "1d6d6c598022c7e83920a00575aeb5b3866b1ed1327718d389f659b057659acb", +@@ -82,6 +81,10 @@ + + + def main(): ++ parser = argparse.ArgumentParser() ++ parser.add_argument("--out", type=Path, required=True) ++ args = parser.parse_args() ++ args.out.parent.mkdir(parents=True, exist_ok=True) + sources = {name: pinned(SOURCE / name, pin) for name, pin in PINS.items()} + receipt = json.loads(sources["RELATIVE-REUSE.json"]) + premises = {name: json.loads(pinned(CAMPAIGN / name, pin)) for name, pin in DEPENDENCIES.items()} +@@ -92,17 +95,10 @@ + require(alias_review["pins"]["producer_receipt"] == DEPENDENCIES["lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json"], "Alias review pin") + require(all(v["arbitrary_helpers_restored"] == 480 and v["input_columns"] == 712 + for v in helper_review["checks"].values()), "Arbitrary-helper output independence premise") +- digest = sha256() +- with ARCHIVE.open("rb") as stream: +- for block in iter(lambda: stream.read(1 << 20), b""): +- digest.update(block) +- require(digest.hexdigest() == "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", "Selected archive pin") + original = {} +- with tarfile.open(ARCHIVE) as archive: +- for key, (name, pin) in MEMBERS.items(): +- raw = archive.extractfile(name).read() +- require(sha256(raw).hexdigest() == pin, "Selected member pin") +- original[key] = json.loads(gzip.decompress(raw) if name.endswith(".gz") else raw) ++ for key, (name, pin) in MEMBERS.items(): ++ raw = pinned(SELECTED / name.rsplit("/", 1)[-1], pin) ++ original[key] = json.loads(gzip.decompress(raw) if name.endswith(".gz") else raw) + template, word, recipes = original["template"], original["word"], original["phases"]["recipes"] + require(template["cover"] == "all matrices d in O(73,2), in lexicographic row order", "Full orthogonal cover") + require(template["live"] == 14336 and template["physical"] == 14826, "Original stocks") +@@ -284,7 +280,7 @@ + ] + result = dict(status="PASS_INDEPENDENT_ALL512_RELATIVE_DIRTY_CACHE", producer_imported=False, producer_executed=False, + producer_pins=PINS, dependency_pins=DEPENDENCIES, source_members={k: dict(path=p, sha256=h) for k, (p, h) in MEMBERS.items()}, +- archive_sha256=digest.hexdigest(), checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), ++ archive_sha256="f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", archive_replayed=False, packaged_members_verified=True, checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + actual_schedule_events=len(events), original_helper_slots_checked=len(used_slots), original_idle_suffixes_checked=len(template["idle_children"]), + complete_donor_histories=512, selected_paths=512, complete_eight_row_cohorts=64, globally_distinct_old_owners=512, + selected_owner_sides=dict(sides), unequal_entry_ranks=unequal, selected_path_lengths=dict(path_lengths), +@@ -298,7 +294,7 @@ + not_replayed=["The original complete local scalar programs and native helper normalizers; their reviewed arbitrary-input contracts are retained.", + "Candidate enumeration and matching search; the full 512-row distinct-owner witness is checked directly."], + excluded=["Clean query access", "Local C alias", "A dirty-cache read protocol", "Restoration of source G", "A full data controller", "Finite address, control, precision, and recursive invoice", "Kappa improvement"]) +- output = LANE / "RELATIVE-OWNER-REUSE-REVIEW.json" ++ output = args.out + output.write_text(json.dumps(result, indent=2, sort_keys=True)+"\n") + print(result["status"]) + print(json.dumps({k: result[k] for k in ("selected_paths", "selected_existing_native_profile", "exact_phase_coefficients", "scalar_real_primitives_subtotal")}, sort_keys=True)) +--- sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/check_stream_cleanup.py ++++ checks/stream_cleanup.py +@@ -15,9 +15,9 @@ + import shutil + + +-ROOT = Path('/Users/aliromman/Projects/IntegerMultiplicationBounds') ++ROOT = Path(__file__).resolve().parents[1] / 'sources' + LANES = ROOT / 'work/centre-encoding-campaign-20261014/lanes' +-HERE = Path(__file__).resolve().parent ++HERE = ROOT / 'work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review' + PACK = HERE.parent.parent / 'masked-query' + A = (0, 7, 20, 27, 36, 46, 57, 111) + T = (21, 37, 47, 76, 81, 87, 92, 110) +@@ -318,7 +318,7 @@ + + def main(): + parser = argparse.ArgumentParser() +- parser.add_argument('--out', type=Path, default=HERE / 'CHECK.json') ++ parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least three GiB free') + manifest = json.loads(read(PACK / 'STREAM-CLEANUP-MANIFEST.json', +--- sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/review_unit.py ++++ checks/unit_query.py +@@ -4,12 +4,13 @@ + from fractions import Fraction as F + from hashlib import sha256 + from pathlib import Path ++import argparse + import gzip + import importlib.util + import json + + +-HERE = Path(__file__).resolve().parent ++HERE = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" / "lanes/coherent-port/current-query-review-20261015" + spec = importlib.util.spec_from_file_location("independent_query_review", HERE / "review_query.py") + review = importlib.util.module_from_spec(spec) + spec.loader.exec_module(review) +@@ -24,6 +25,10 @@ + + + def main(): ++ parser = argparse.ArgumentParser() ++ parser.add_argument("--out", type=Path, required=True) ++ args = parser.parse_args() ++ args.out.parent.mkdir(parents=True, exist_ok=True) + need, plus, mul = review.need, review.plus, review.product + for name, pin in PINS.items(): + review.read(review.SOURCE / name, pin) +@@ -97,7 +102,7 @@ + changed_output_rows=8, correction_coefficients=424, both_dyadic_inverse_orders=True, + rejected_controls=3, costs=costs, added_rank_one_children=8, native_mass=5530, + scope="Separate unit-query local word; native line and exterior phase evidence inherited byte-for-byte from the independent PJ review.") +- (HERE / "UNIT-REVIEW.json").write_text(json.dumps(result, indent=2, sort_keys=True) + "\n") ++ args.out.write_text(json.dumps(result, indent=2, sort_keys=True) + "\n") + print("PASS_UNIT_QUERY_REVIEW: all 712 columns, both inverse orders, and 212826 scalar") + + diff --git a/research/borrowed-centre-storage/EVIDENCE.md b/research/borrowed-centre-storage/EVIDENCE.md new file mode 100644 index 0000000000..70ff52a952 --- /dev/null +++ b/research/borrowed-centre-storage/EVIDENCE.md @@ -0,0 +1,26 @@ +# Evidence index + +The [fresh replay receipt](evidence/REPLAY.json) records all nine executed +steps. The [portability receipt](evidence/PORTABILITY.json) records the run +from a copied package outside the workspace. Each output below is from +that run. Frozen prior receipts remain under `sources/`. + +| Claim or premise | Fresh check | Original source and independent proof | +| --- | --- | --- | +| Arbitrary helper and centre values | [Borrowed core](evidence/borrowed-core.json) | [Original checker](sources/work/centre-encoding-campaign-20261014/root/review_borrowed_centres.py) | +| Exact source query and native phase | [Carried alias](evidence/carried-alias.json) | [Proof](sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.md), [review](sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.md) | +| 512 relative dirty paths | [Relative storage](evidence/relative-storage.json) | [Witness](sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/RELATIVE-REUSE.json), [review](sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/RELATIVE-OWNER-REUSE-REVIEW.md) | +| 512 clean idle paths | [Clean storage](evidence/clean-storage.json) | [Witness](sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.json), [review](sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/CLEAN-IDLE-STORAGE-REVIEW.md) | +| Retained unit-query native interface | [Unit query](evidence/unit-query.json) | [Proof](sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY.md), [review](sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/UNIT-REVIEW.md) | +| Masked local unit | [Producer](evidence/masked-producer.json), [independent check](evidence/masked-review.json) | [Proof](sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/MASKED-QUERY.md), [review](sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.md) | +| Owner-local cleanup | [Producer](evidence/cleanup-producer.json), [independent check](evidence/cleanup-review.json) | [Proof](sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP.md), [review](sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/REVIEW.md) | + +[SOURCE-PINS.json](SOURCE-PINS.json) lists every source path, SHA256, size, +and compressed-payload SHA256 where applicable. [The local Git identity +check](evidence/UPSTREAM-IDENTITY.json) confirms the exact published +joint-query certificate. It also checks the recorded source-group README +at its fixed head. External link resolution remains a publication check. + +The new [proof](PROOF.md) uses `pi_U C^-1 P_A` in the necessity argument +for a supported section. The independent masked review had already +identified that support detail. The original note remains unchanged. diff --git a/research/borrowed-centre-storage/GENERAL-COMPLETION-DELTA.json b/research/borrowed-centre-storage/GENERAL-COMPLETION-DELTA.json new file mode 100644 index 0000000000..42a29b0962 --- /dev/null +++ b/research/borrowed-centre-storage/GENERAL-COMPLETION-DELTA.json @@ -0,0 +1,31 @@ +{ + "added_files": { + "annex/general-completion/MANIFEST.json": "b8b01f878ad126435fcf5074a49c15864ff1a522fc9c9988cb4a578afd1c80a3", + "annex/general-completion/NOTICE.md": "8a76d5795660f1a96d815920a6b903ec98ec761c331a68d1afced73443c451d9", + "annex/general-completion/PROOF.md": "8036e9848529baf6acb5c5aef606f39ace91707c2f4921657b36469923a980f4", + "annex/general-completion/README.md": "2aa53873484d0dacace45ce504260d330d7703f002826dceec2e274ae5845bff", + "annex/general-completion/SOURCE-PINS.json": "b461bafdba5b6fc0c3adc01a993d952a3dacdf486bc7a8681e83fb3e4e6728d1", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/circuit-interface/INTERFACE.json": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/CHECK.json": "184352d955f5afe23ac733babab4a2e42f03659026d5abee098cc7b29de42be3", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.json": "1834a338e99aff5a2b8a195e5f903b2542cca23de3c80047f22a6cba40e56e57", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.md": "f5f3e210824af9a39aecc55145e16af1634a16eeb12c32c4397771c51352e965", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/check_extension.py": "3aff061550fe24749bf557de0a342ef346d90b60b3615e2e47f31ff08c50429d", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md": "df76e7ff4b532bfab58a9aea5ce7d29493305a76013ef6cd20fb38b7ad2dde01", + "annex/general-completion/replay.py": "0676ee1bb3fac0d2e34546c3d8d57ca048350af371affd7670bcce4c466b579c" + }, + "annex_manifest_sha256": "b8b01f878ad126435fcf5074a49c15864ff1a522fc9c9988cb4a578afd1c80a3", + "base_manifest": { + "listed_files": 103, + "path": "PACKAGE-HASHES.json", + "publication_commit": "967cb89d22e6b21f5ec2495a130480f47b5c0a9f", + "sha256": "d0c5d9253a021ed5dbc7e83c68bf268e35784ecfdcfa09b9f7cc673c31bcbec2", + "total_original_files": 104 + }, + "modified_original_files": [], + "original_file_inventory_sha256": "ad7a767deb5a53b8a1f0781ae2ecbe023059652f7bef1883d500781b74efa44d", + "schema": 1, + "scope": "Removes selected-K compatibility from completion; proves the onto-query converse and exact zero-or-d changed-output criterion when RK=gI. The actual mod-13 criterion gives eight changed fields. No native-child lower bound or kappa change.", + "self_hash_excluded": true, + "status": "ADDITIVE_GENERAL_COMPLETION_ANNEX", + "total_package_files_including_this_delta": 117 +} diff --git a/research/borrowed-centre-storage/NOTICE.md b/research/borrowed-centre-storage/NOTICE.md new file mode 100644 index 0000000000..f1ce8300c3 --- /dev/null +++ b/research/borrowed-centre-storage/NOTICE.md @@ -0,0 +1,47 @@ +# Source attribution and license + +New research, code, package preparation, and verification used +substantial OpenAI Codex assistance under the user's direction. +Different agents produced the retained source and review records. +These are independent agent checks, not independent human peer review. +New material uses Apache-2.0; see [the license](notices/LICENSE). + +The source-domain lane supplied the relative transport and clean idle +storage constructions and complete owner witnesses. The history-encoding +lane supplied their separate schedule and phase reviews. The +residual-syndrome lane supplied the source-alias proof and independent +alias review. The circuit-interface lane supplied the arbitrary-helper +local words. The coordinating root review checked their complete local +maps. + +The paired-package-review lane supplied the retained current-query unit. +The coherent-port lane supplied its independent native-interface review. +The portable-source-codes lane supplied the mask and corrected cleanup. +Its separate algebra reviews checked the mask, ordered read, storage +extent, phases, and complete cleanup. Exact paths and hashes are in +[SOURCE-PINS.json](SOURCE-PINS.json). + +The original supplier data come from the gauge44 and t16 lineage. +Original contributor names, source-specific notices, and earlier AI +assistance disclosures remain unchanged in: + +- [Gauge44 notice](notices/research/gauge44-slots-t16/NOTICE.md). +- [Construction notice](notices/research/gauge44-slots-t16/construction/NOTICE.md). +- [T16 notice](notices/research/gauge44-slots-t16/t16/NOTICE.md). +- [Complete upstream notice](notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md). + +These notices are the source of the predecessor credit. Their source +commit is `bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. + +The source-group work in +[PR #1862](https://github.com/CrocSwap/integer-mult-bounds/pull/1862) and +the joint-query work in +[PR #1969](https://github.com/CrocSwap/integer-mult-bounds/pull/1969) are +consumed predecessors. Their results are not new claims here. The +joint-query certificate retains the exact published bytes. This package +does not add their four source-group examples or joint-query check suite. + +No historical source, proof, or receipt was edited. Portable checker +changes are explicit in [ADAPTATIONS.patch](ADAPTATIONS.patch). The +supported-section detail is corrected in the new proof; the original +note and its independent review finding are both retained. diff --git a/research/borrowed-centre-storage/PACKAGE-HASHES.json b/research/borrowed-centre-storage/PACKAGE-HASHES.json new file mode 100644 index 0000000000..c50db7ce12 --- /dev/null +++ b/research/borrowed-centre-storage/PACKAGE-HASHES.json @@ -0,0 +1,105 @@ +{ + "ADAPTATIONS.json": "f78144d54af7a139b5d623196674ee58efc7f2b2a9ad4454273a2e611725e3cd", + "ADAPTATIONS.patch": "03b956419b402a909697a71334c751cf105089da29be4f66b385f593bc9f4467", + "EVIDENCE.md": "7f5d33f6d357f0483304d1aa5f5ca62e5f763c5aeff629dc2adf4e2ff489d4c8", + "NOTICE.md": "c89f8f3210584f3963d41ca3ea5bae3dc3f96530bb7e553fb7f8227e5a194abf", + "PROOF.md": "aa72734e14abee4ee43aa0b892c760c136169b904c1a42460e889eb4bc4f79be", + "README.md": "4cd80b2e1bdc354fb5cfe4acb0b5dc6680a1f061f774426abb94f8ed9260e9c7", + "SOURCE-PINS.json": 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The old schedule proves +the two storage statements. It does not admit the changed masked caller. +All native child contracts remain the inherited exact arbitrary-input +contracts. No complete kappa improvement follows from these statements. + +## Relative dirty transport + +Let a be an arbitrary old physical owner value at capture. Let T be the +invertible native map made by its complete old helper jobs before erase. +Assume that no scalar data use occurs in this interval. Let q0 be the +computed query at capture, and let q1 be its available source alias at +erase. If a known cover permutation M satisfies + +```text +T M q0 = M q1, +``` + +then capture, old jobs, and erase give + +```text +a -> a + M q0 -> T a + T M q0 -> T a. +``` + +This identity holds for every a. It also holds when a and q0 are +correlated with other inputs. A complete old helper job applies its +native map to each arbitrary helper input and leaves its other complete +outputs independent of that helper input. + +For the actual stage s in {1,3,5,7}, the selected query advances by +`P_g F_Es P_g^-1`. An eligible donor receives eight distinct orthonormal +native axes v1,...,v8. Its owner-chart map is the product of their exact +positive C factors. Choose an orthogonal U that sends the fresh unit +axes of Es to those axes. Then + +```text +T0 = P_U F_Es P_U^-1. +``` + +This is an equality of the exact original-complex operators. The full +73-variable Fourier phase polynomials agree, including scalar phase one +and zero translation. At donor cover class h, read source class hU. +Thus `(M q)(h)=q(hU)` and `T M = M T_query`. The cover permutation moves +values between independent classes; it does not equate their contents. +No equality of donor and query entry frames is needed. + +The frozen witness supplies 512 distinct old donors for 64 complete +8-row windows. Of those rows, 499 have unequal donor and query entry +ranks. The selected old jobs are 479 rank-eight jobs and 66 rank-four +jobs. They have total rank 4,096 and are already in the old invoice. +No selected path has a suffix or translation event. + +The independent checker reconstructs the complete owner histories, +checks all selected jobs and use barriers, checks each cover inverse, +and compares 1,383,424 exact phase coefficients. Capture is a complete +cover sweep before B; erase is a complete sweep before the next F. +The source alias check replays both local words on all 712 columns and +checks the exact source phases. Tensor products preserve the identities. + +Capture uses 27,136 complex ADDs, and erase uses 512. The real primitive +subtotal is 274,432. No child or field is added. The cache remains dirty: +a later read must cancel its arbitrary old value. This statement neither +makes a local C alias nor restores the source code. + +## Clean idle storage + +After B, let q be the physical selected-Y query and let a be an arbitrary +old donor value. The literal word + +```text +Y += donor +donor -= Y +Y += donor +donor = -donor +``` + +maps `(q,a)` to `(a,q)`. It is a complete raw-array exchange at the same +cover class and address. The intermediate values need no common logical +frame. Applying the word twice gives the identity. + +Choose a donor with no original event use until the next F. Exclude both +endpoint calls, all 512 query-source fields, and every other chosen donor. +If the original bridge reads Y while q is parked, let that bridge read +the donor at the same physical class and address. Keep its target and +coefficient unchanged. Before F, swap back. This restores q and a exactly. +Any additional use of q must restore q before this second swap. + +The complete witness supplies 512 globally distinct source-donor pairs. +It changes 384 reads at 48 bridge events. All 144 local calls, 160 idle +events, 144 bridges, both terminal events per replica, and final events +are covered. An idle event excludes all 224 pair fields, including any +zero-rank remainder or phase-only use. + +The independent checker tracks the physical location of each of the +14,336 original owners. Each unchanged event receives its original +values. Each changed bridge read follows the recorded source location. +Every bridge target stays at its original location. Each erase reverses +its capture, and all locations are original at the end. The same-value +argument proves the result for arbitrary data and donor values. + +The 1,024 swaps use 3,072 complex ADDs and 1,024 sign SCALEs. The subtotal +is `1024*(3*8+2)=26624` real primitives. No native child or field is added. +The query keeps its original post-B physical frame. Storage ends before +F and does not undo the source logger. + +## Masked current-query unit + +Work over a ring with free coordinate modules. Let R and K have +compatible sizes. Choose coordinates A for which R_A is invertible, +and let the A part of K be `P_A=iota_A R_A^-1`. Write + +```text +L_A = R_A pi_A, R_offA = R - L_A, +K_offA = K - P_A, J = I - K R, +T = (I - K_offA L_A)(I + P_A R_offA). +``` + +The two factors of T are unit shears. Their inverses have opposite signs +and reverse order. Direct multiplication gives `L_A T=R` and +`pi_offA T=pi_offA J`. + +Let U be the retained coordinates, and let V0 be their complement. Put +`R_U=R pi_U` and `L_V0=R pi_V0`. Suppose there is a section P_U with + +```text +R_U P_U = I, pi_V0 P_U = 0. +``` + +Then `L_V0 P_U=0`, and + +```text +B = I - P_U L_V0, B^-1 = I + P_U L_V0, +R B = R_U. +``` + +For any prescribed source query D, set + +```text +H_D = J + P_A(D - L_A J). +``` + +Only its A output rows differ from J, and `L_A H_D=D`. The complete map + +```text +X_out = X, +Y_out = H_D X + T B Y +``` + +is a unit, with inverse + +```text +X = X_out, +Y = B^-1 T^-1 (Y_out - H_D X_out). +``` + +Its selected query is `D X + R_U Y`. All products keep their given order. +No inverse of J or commutation assumption is used. + +The section condition is also necessary for a unit C with `L_A C=R_U`. +A section supported on U is `pi_U C^-1 P_A`, since +`R_U pi_U C^-1 P_A=R_U C^-1 P_A=L_A P_A=I`. +The projection pi_U is required for the support claim. This corrects the +support detail in the frozen necessity paragraph without changing that +historical file. + +For the actual 8-by-112 matrix, A and T_ports each have eight elements, +and U is their 96-port complement. The retained minor on +`[1,6,22,28,33,49,58,109]` has Gram matrix 4I and determinant -256. +Its transpose divided by four gives P_U. The mask uses 64 half ADDs with +disjoint source and target supports. + +Only D=R_U is emitted. The native order is B at the input I cut, the two +T shears at I, the unchanged clean-J core, eight positive lines on Y_A, +and the source correction on FULL X and FULL Y_A. The selected query is +`R_U(X_U+Y_U)`. Every helper has its required output, and all eight owned +private fields are zero. The exact full local count is 213,466 real +primitives and eight rank-one children beyond clean-J. No field is added. +The general-D result is algebraic; no other native word is claimed. + +The inverse displayed above is an inverse of content. It does not admit +scalar operations between unequal native frames. The changed global +owner schedule, later B3 call, and target-code retirement remain open. + +## Corrected owner-local cleanup + +Use the aligned post-F2 cut defined in the retained masked-query proof. +Let V=A union T, let z=(x,y), and let the dirty state be `d=z+E h`. +The cut has + +```text +X0_U = x_U + c_U, X0_V = c_V, +X1_U = c_U, X1_V = d_X,V, +Y1_V = d_Y,V, +Y0_A = P2_A q, q = R2_U(X0_U+y_U), +donors = h + G z. +``` + +All accessed fields have the complete U2 native frame. The donors are +distinct real families. The cleanup does not access mixed-frame Y0 off A +or Y1 on U. Its exact ordered query premise is + +```text +G z = P2_A[q - R2_U c_U + R2_T(d_X,T+d_Y,T) + - R2_offA P0_offA f], +f = R0 x = R0 d_X. +``` + +Subtract Y0_A from the donors. Prepare X0=d_X and X1=c with subtractions +on U and complete swaps on V. Form `Y1_T+=X0_T+X1_T`. Then use one local C +to add `P0_offA R0 X0` to the real X1_offA family. Gather the eight donors, +104 off-A X1 fields, and eight T Y1 fields through their exact stage-2 +views. Add their ordered response. The displayed identity leaves each +donor equal to its arbitrary h. Return all views. Undo the X1 alias, +T sums, and X preparation in reverse order. Finally subtract E h from +the selected dirty fields. + +Each private owner body initializes C before its first read and ends +with C zero at I. No cover map acts on C. Complete real families retain +all values that must survive a change of owner. All alias sweeps end +before gathers start; all return views end before inverse aliases start. +These barriers make the whole-family algebra valid with one local C. +The earlier private-C cross-owner word does not meet this condition and +is excluded. + +The independent checker reconstructs every block, checks all 457 latent +columns and ordered route words, all 2,584 ADD phases, all 240 affine +views, and each private-owner lifetime. The exact count is 25,124 real +primitives, 240 maps, 32 sign SCALEs, 18 clears, and zero new children. +This is a complete local word at its stated cut. It is conditional on +that cut and does not provide the changed global owner admission. diff --git a/research/borrowed-centre-storage/README.md b/research/borrowed-centre-storage/README.md new file mode 100644 index 0000000000..e2212cae8d --- /dev/null +++ b/research/borrowed-centre-storage/README.md @@ -0,0 +1,123 @@ +# Borrowed centre storage and masked access + +This package gives two complete storage constructions for the historical +14,336-owner schedule, one local masked-query unit, and one cleanup word +at a specified aligned cut. It does not improve the complete kappa +calculation. It does not supply a complete encoded Fourier supplier. + +The [proof](PROOF.md), [source pins](SOURCE-PINS.json), and +[replay](replay.py) define the scope. [EVIDENCE.md](EVIDENCE.md) links each +fresh check and its original proof. The frozen sources retain their +original bytes. The [adapter diff](ADAPTATIONS.patch) shows each change +needed to read portable inputs and write a new replay receipt. + +| Result | Coverage | Added local cost | Main limit | +| --- | --- | --- | --- | +| Relative dirty transport | 512 rows in 64 windows; 512 distinct old owners | 274,432 real scalar primitives; no new child or field | The cache includes an arbitrary old value. A later read needs its own cancellation proof. | +| Clean idle storage | 512 rows; 1,024 swaps; 384 bridge read changes | 26,624 real scalar primitives; no new child or field | The query keeps its original physical frame and must be restored before swapback. | +| Masked query unit | All 712 local input columns; all 480 arbitrary helpers | 213,466 real scalar primitives; eight H1 children beyond clean-J | Only D=R_U is emitted. The target inverse is an algebraic inverse. | +| Owner-local masked cleanup | All 457 data, donor, and scratch columns | 25,124 real scalar primitives; 240 maps; one owned C; no new child | The exact aligned post-F2 cut and distinct real-family roles are assumptions. | + +All costs are local template counts. Address work, control, precision, +recursive child storage, and cover multiplicities need separate bills. +The two storage constructions use the original source logger. They are +not a global admission proof for the changed masked F2 word. + +## Reproduce + +Use Python 3.10 or later, the standard library, one process, and at least +3 GiB of free space. No Git checkout, network access, or external package +is needed. From this package directory, use a new output directory: + +```sh +python3 -I -B replay.py --out /tmp/borrowed-centre-storage-check +``` + +The final line must be: + +```text +PASS_BORROWED_CENTRE_STORAGE_PACKAGE +``` + +The replay runs nine checks in order. It checks the complete local +borrowed word and source alias, both 512-row storage witnesses, the +inherited unit word, the masked producer and independent review, and the +corrected cleanup producer and independent review. It checks every frozen +source hash before and after execution. The masked word must match its +frozen decompressed payload. Both cleanup output files must match their +frozen bytes. The output directory contains logs and `REPLAY.json`. + +The alias checker uses assertions. The replay starts every child with +`-I -B`, with assertions active. Do not add `-O` to a direct alias check. + +The package contains only the required members of two historical +archives. Their exact archive and member hashes and Git commits are in +[SOURCE-PINS.json](SOURCE-PINS.json). Extraction was checked against the +full archives during package preparation. A portable replay checks the +member bytes; it does not re-read either full archive. + +## Evidence and scope + +The two storage reviews reconstruct the actual 482-event schedule. They +check all 69,120 original complete helper occurrences. The dirty check +also checks all 7,526 idle remainder records, full 73-variable phase +polynomials, all selected donor histories, and all cover inverse maps. +The clean check follows all 14,336 owner locations through the changed +schedule. These are complete finite witnesses for their stated schedule. +Their local identities extend to arbitrary values and tensor sizes under +the retained native contracts. + +The masked review reconstructs all 26,587 events and all new matrices. +The producer checks the complete word on all 712 local input columns. +The cleanup review reconstructs every block, checks every ADD phase and +all 240 views, checks private-owner lifetimes, and replays all 457 latent +columns with ordered route words. + +Meaningful controls reject wrong conjugation, translation, missing jobs, +duplicate owners, a missing swap sign, an old bridge source, wrong mask +order or sign, omitted cleanup blocks, maps on private C, and C values +that survive an owner boundary. See the per-check receipts for each +control. + +The replay does not re-run the inherited native child kernels. It does +not check a new global trace for the masked caller, retire its mixed-frame +target code, admit B3, or prove recursive storage and precision bounds. +The full-W application and later two-pair endpoint are excluded. No +matching optimality or global storage lower bound is claimed. + +Some frozen notes say that review or publication is pending. Those are +historical statements. Later independent agent reviews are retained next +to the sources. No claim of independent human peer review is made. + +## Dependencies and credit + +The historical supplier and owner schedule come from the gauge44 and t16 +lineage. The exact consumed schedule uses commit +`0a31ad88419a4eebf515d3df4f6732c4e38c0029`; the alias source uses commit +`bce54fb3f895cbe5cd4c0eb477c3afeed100190f`. + +[PR #1862](https://github.com/CrocSwap/integer-mult-bounds/pull/1862) +published the input-only source-group work. Its source logger and local +contract are retained premises here. +[PR #1969](https://github.com/CrocSwap/integer-mult-bounds/pull/1969) +published the joint-query work. Its exact matrix and route certificate +are consumed here. Neither contribution is claimed as new in this package. +The recorded source heads are `bb29ea73ad9be9a0c3d53cdcb1d22b2ee9ffe42f` +and `a6e6ad3936f67b8f63b5b68c5e75d540610a65e7`, respectively. + +[NOTICE.md](NOTICE.md) and the retained notices preserve predecessor +credit, licenses, and the disclosure of substantial OpenAI Codex +assistance. [SOURCE-PINS.json](SOURCE-PINS.json) gives each original source +path and exact hash. No frozen source was changed. + +## Open next questions + +A complete use of dirty transport needs a read protocol that cancels the +old donor value. Start with the displayed transport identity and require +the original donor output after every added read. + +A global use of the masked cleanup needs the stated aligned cut in the +changed owner schedule. Start with the complete post-F2 role list and +check all owner uses before making a supplier claim. Mixed-frame target +code retirement, B3 admission, recursive storage, and precision remain +separate blockers. 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"frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/check_extension.py": "3aff061550fe24749bf557de0a342ef346d90b60b3615e2e47f31ff08c50429d", + "frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md": "df76e7ff4b532bfab58a9aea5ce7d29493305a76013ef6cd20fb38b7ad2dde01", + "replay.py": "0676ee1bb3fac0d2e34546c3d8d57ca048350af371affd7670bcce4c466b579c" + }, + "schema": 1, + "scope": "General algebraic completion and exact changed-output field count; no native-child bound or kappa change.", + "source_files": 6, + "status": "FROZEN_GENERAL_COMPLETION_ANNEX" +} diff --git a/research/borrowed-centre-storage/annex/general-completion/NOTICE.md b/research/borrowed-centre-storage/annex/general-completion/NOTICE.md new file mode 100644 index 0000000000..d502caf476 --- /dev/null +++ b/research/borrowed-centre-storage/annex/general-completion/NOTICE.md @@ -0,0 +1,19 @@ +# Source credit + +The schur-selection unit-query-review lane supplied GENERAL-COMPLETION.md. +It removes the selected-K compatibility premise and proves the onto-query +converse and exact zero-or-d distinction. The coordinating agent proposed +the actual modulo-13 lower bound. The paired-package-review lane supplied +the earlier unit code and local word. Its upstream-followthrough review +supplied the independent extension checker and the U_c notation +qualification. Circuit-interface supplied the actual matrix R. + +The six source files are copied without changes. Their exact source paths +and hashes are in [SOURCE-PINS.json](SOURCE-PINS.json). The original +[package notice](../../NOTICE.md) and [license](../../notices/LICENSE) +retain the supplier credit and Apache-2.0 terms. This annex does not claim +the earlier unit construction or supplier as new work. + +Substantial OpenAI Codex assistance was used for the source research, +checks, and this extraction. Separate agents supplied the proof and its +independent review. No independent human review is claimed. diff --git a/research/borrowed-centre-storage/annex/general-completion/PROOF.md b/research/borrowed-centre-storage/annex/general-completion/PROOF.md new file mode 100644 index 0000000000..a040e9c2b8 --- /dev/null +++ b/research/borrowed-centre-storage/annex/general-completion/PROOF.md @@ -0,0 +1,85 @@ +# Stronger completion and exact changed-field count + +The governing [source proof](frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md) +has SHA-256 +`df76e7ff4b532bfab58a9aea5ce7d29493305a76013ef6cd20fb38b7ad2dde01`. +Its [accepted review](frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.md) +checks each argument. The statements below retain its scope and notation +qualification. They do not add a native implementation claim. + +## Completion and converse + +Let A be a commutative ring with `1 != 0`. Work on n complete fields of +N coordinates, with `N>=1`. The query has d complete fields, where +`1<=d<=n`. Select d input fields S, and let U be their complement. For +maps R and K of compatible sizes, suppose `R_S=R i_S` has a two-sided +inverse. Put + +```text +L = R_S pi_S, G = i_S R_S^-1, +B = R-L, D = i_U pi_U K, +J = I-KR, +T = (I-DL)(I+GB), +T^-1 = (I-GB)(I+DL). +``` + +The support identities `LG=I`, `LD=0`, and `BG=0` make both factors +invertible shears. Expansion gives `T=I+GB-DR`, `pi_U T=pi_U J`, and +`LT=R`. Thus T is a unit, retains every unselected row, and stores the +full query in S. No condition on the selected part of K or on RK is +needed. These two output equations determine T uniquely. + +If R is onto, the existence of any such unit T with an arbitrary linear +readout `Q pi_S T=R` is equivalent to `R_S` being a unit. Surjectivity +forces the square Q to be a unit. A block row operation then makes +`[R; pi_U J]` triangular with diagonal blocks `R_S,I`. Both the onto +premise and the full-query requirement are necessary, as the two frozen +converse controls show. + +If the selected part of K equals `R_S^-1`, the repair T-J is a split +projection. The general repair need not be a projection. This extra +projection property must not be transferred to arbitrary K. + +## Exact count and actual specialization + +Now also assume `RK=gI`, with scalar g. A unit d-field minor remains +available. Among all linear unit repairs of J, the minimum number c of +changed complete output fields is + +```text +c_min = 0 if 1-g is a unit, +c_min = d otherwise. +``` + +This minimization permits repairs that do not store the full query. +For unit `1-g`, the displayed source inverse makes J itself a unit. For +nonunit `1-g`, a residue field in which g becomes one gives J nullity +dN. The difference between a unit repair and J must be injective on that +kernel, so its rank is at least dN. A change in c whole fields has rank +at most cN. The completion above attains the resulting bound c>=d. + +For the pinned actual matrix, `A=Z[i,1/2]`, `n=112`, `d=8`, +`K=R^T/4`, and `RK=14I`. The selected ports are +`[0,7,20,27,36,46,57,111]`; their minor has Gram matrix `4I`. +Both maps to F13, with i sent to 5 or 8, are valid. The residue nullity +is 8N and the exact minimum is eight changed fields. Realification gives +the same count for dyadic real-linear unit maps, including conjugation, +by using both Gaussian sectors and 2N coordinates per complex field. + +The lower bound also covers a nonlinear map only when it has a +surjective reduction on the full residue module and retains the same +unchanged outputs. Here U_c denotes the n-c unchanged fields. The +inequality is `rank(pi_Uc Jbar) <= (n-d)N < (n-c)N` when c (x-J^T y,y,h,0)", + "corrected_map_forward": "(x,y,h,c) -> (x,y+Jx,h,0)", + "corrected_program_checks": { + "backward": { + "all_scalar_frame_access_checked": true, + "first_correction_add_omission_rejected": true, + "initial_private_clear_omission_rejected": true, + "old_primitive_bound_real_components": 198814, + "prefix_add": 580, + "prefix_clear": 16, + "primitive_bound_real_components": 202138, + "scalar_macros": 20089, + "unchanged_persistent_native_events": 5056 + }, + "forward": { + "all_scalar_frame_access_checked": true, + "first_correction_add_omission_rejected": true, + "initial_private_clear_omission_rejected": true, + "old_primitive_bound_real_components": 198766, + "prefix_add": 580, + "prefix_clear": 16, + "primitive_bound_real_components": 202138, + "scalar_macros": 20089, + "unchanged_persistent_native_events": 5056 + } + }, + "corrected_program_payload_sha256": "fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877", + "dirty_correction_site": "After entry adapters and before A; targets and all helpers in H have canonical frame zero.", + "full_input_columns": 712, + "full_output_rows": 712, + "identities": [ + "R R^T = 56 I8", + "P = R^T R/4", + "P^2 = 14 P", + "J = I112-P", + "J^2+12J-13I112=0", + "J^-1 = (12I112+J)/13" + ], + "map": "(x,y,h,c) -> (x, y + J x - R^T H h/4, h, 0)", + "not_claimed": [ + "Native centre-free supplier admission", + "Free endpoint J^-1", + "Changed global controller", + "Kappa improvement" + ], + "ports": [ + 11, + 19, + 35, + 67, + 131, + 259, + 13, + 21, + 37, + 69, + 133, + 261, + 41, + 73, + 137, + 265, + 49, + 81, + 145, + 273, + 161, + 289, + 193, + 321, + 385, + 14, + 22, + 38, + 70, + 134, + 262, + 26, + 74, + 138, + 266, + 50, + 146, + 274, + 98, + 162, + 290, + 194, + 322, + 386, + 28, + 44, + 140, + 268, + 84, + 148, + 276, + 100, + 164, + 292, + 196, + 324, + 388, + 56, + 88, + 152, + 280, + 104, + 168, + 296, + 200, + 328, + 392, + 112, + 176, + 304, + 208, + 336, + 400, + 224, + 352, + 416, + 448, + 508, + 506, + 502, + 494, + 478, + 446, + 382, + 254, + 505, + 501, + 493, + 477, + 445, + 381, + 253, + 499, + 491, + 475, + 443, + 379, + 251, + 487, + 471, + 439, + 375, + 247, + 463, + 431, + 367, + 239, + 415, + 351, + 223, + 319, + 191 + ], + "program_sha256": "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3", + "scope": "Exact scalar interface only. Native endpoint mixing and a changed controller are not admitted.", + "status": "PASS_CENTRE_FREE_SCALAR_INTERFACE", + "target_endpoint": "T_q = F C_q^-1; distinct q have distinct frames", + "word_sha256": "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c" +} diff --git a/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/CHECK.json b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/CHECK.json new file mode 100644 index 0000000000..61a2360a34 --- /dev/null +++ b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/CHECK.json @@ -0,0 +1,22 @@ +{ + "actual_rr_transpose": 56, + "actual_selected_gram": 4, + "exact_converse_controls": 2, + "finite_cases": 500, + "free_polynomial_checks": [ + "both inverse orders", + "unselected rows", + "full query", + "arbitrary selected K", + "compatible projection", + "noncompatible nonprojection control" + ], + "interface_sha256": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "noncompatible_cases": 400, + "proof_sha256": "df76e7ff4b532bfab58a9aea5ce7d29493305a76013ef6cd20fb38b7ad2dde01", + "qualifications": [ + "For c changed fields the nonlinear proof uses U_c, the n-c retained fields.", + "No native, global controller, or record-hosting replay is performed." + ], + "status": "PASS_GENERAL_COMPLETION_EXTENSION" +} diff --git a/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.json b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.json new file mode 100644 index 0000000000..bf320773c7 --- /dev/null +++ b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.json @@ -0,0 +1,12 @@ +{ + "pins": { + "CHECK.json": "184352d955f5afe23ac733babab4a2e42f03659026d5abee098cc7b29de42be3", + "REVIEW.md": "f5f3e210824af9a39aecc55145e16af1634a16eeb12c32c4397771c51352e965", + "check_extension.py": "3aff061550fe24749bf557de0a342ef346d90b60b3615e2e47f31ff08c50429d" + }, + "qualification": "The nonlinear paragraph uses U_c for the n-c unchanged fields; earlier U has n-d fields.", + "scope": "Independent algebra and actual R/minor checks; no native or supplier replay.", + "status": "ACCEPTED_WITH_NOTATION_QUALIFICATION", + "target_sha256": "df76e7ff4b532bfab58a9aea5ce7d29493305a76013ef6cd20fb38b7ad2dde01", + "unresolved_material_findings": [] +} diff --git a/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.md b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.md new file mode 100644 index 0000000000..4f6661123e --- /dev/null +++ b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.md @@ -0,0 +1,91 @@ +# Independent review of the general unit completion + +I accept GENERAL-COMPLETION.md, SHA-256 +`df76e7ff4b532bfab58a9aea5ce7d29493305a76013ef6cd20fb38b7ad2dde01`, +with the notation qualification below. I found no material algebraic +error. The frozen source was not changed. + +## Proof checks + +The construction needs a two-sided unit selected minor R_S. It does not +need K_S=R_S^-1 or RK=gI. With G=i_S R_S^-1 and D=i_U pi_U K, the +support identities LG=I, LD=BG=0 give both nilpotent shears. Expansion +gives T=I+GB-DR, so T retains every unselected row of I-KR and LT=R. +The reversed inverse factors are valid without any commutation between +B and D. Each shear has determinant one over a commutative ring. The +full query and unselected rows specify every output, so the code is +unique under those two equations. + +For the converse, R onto and R=Q pi_S T imply Q onto. The codomain of Q +is finite free, so the surjection splits. The determinant of a right +inverse proves that the square Q is a unit over the commutative ring. +Thus [R;pi_U J] is a unit. The stated block row operation gives a block +triangular matrix with diagonal R_S,I. Its determinant proves that R_S +is a unit. The proof therefore covers an arbitrary linear readout Q; +it does not presume Q=R_S. Both counterexamples in the source have the +claimed effects. Surjectivity cannot be dropped, and an arbitrary unit +row repair need not supply the full query. + +When RK=gI, the displayed inverse of J for unit 1-g is exact in both +orders. Conversely, I+R J^-1 K is a two-sided inverse of I-RK. For a +nonunit 1-g, reduction at a maximal ideal containing 1-g gives RK=I. +This makes K injective and KR a projection of rank dN. Hence J has +nullity dN. A unit repair is injective on that kernel, which proves +the rank and changed-field lower bounds. The construction attains the +d-field bound without the selected-K compatibility premise. This +establishes the exact 0/d distinction on the complete finite module. + +The compatible repair is a projection because it is G(2R-L) and +(2R-L)G=I. This extra statement does require compatibility. The general +repair GB+K_S R need not be a projection. + +For the actual source, independent reads give RR^T=56I and +R_S R_S^T=4I. Both Gaussian residue maps to F13 are valid. The matched +views preserve the full-module identities, and independent unit input +and output views preserve residue rank. A fieldwise output view retains +the support of a row repair. This transfer requires those views to be +units over the coefficient ring; it does not allow a hidden division by +13. The realification argument correctly uses both Gaussian sectors, +so it covers dyadic real-linear maps that include conjugation. The +lower bound is on changed output fields, not native children. + +## Notation qualification + +In the nonlinear paragraph, let U_c denote the complement of the c +changed fields. It contains n-c fields. The earlier symbol U denotes +the complement of the fixed d selected fields and contains n-d fields. +The required inequality is + + rank(pi_Uc Jbar) <= rank(Jbar) = (n-d)N < (n-c)N. + +Therefore the unchanged output projection cannot be onto. This proves +the stated nonlinear extension when a surjective residue map exists. +The source author confirmed this interpretation and kept the frozen +bytes. The rank bound on T'-J remains a linear claim. No assertion is +made for rounding codes that have no such residue reduction. + +## Independent checks + +`check_extension.py` imports no source or producer executable. It uses +a free ordered polynomial ring in B,D,C, where C is the arbitrary +selected part of K in normalized coordinates. It checks both inverse +orders, query and unselected rows, the general repair, the compatible +projection, and a nonprojection control. It then checks all 500 scalar +cases over F5 with a unit selected minor; 400 cases have incompatible +selected K. These cases verify the formula and unit distinction. They +support the general proof and do not replace it. + +The checker reads the pinned actual R directly. It verifies its two +Gram identities and both Gaussian residue images. It also checks the +two exact converse controls over the dyadic ring. + +Run: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/check_extension.py --repo /Users/aliromman/Projects/IntegerMultiplicationBounds --out /private/tmp/general-completion-review +``` + +The first line is `PASS_GENERAL_COMPLETION_EXTENSION`. No native kernel, +physical word, global controller, record owner, finite precision, or +supplier invoice was replayed in this review. Those claims remain outside +the theorem and this receipt. No publication was performed. diff --git a/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/check_extension.py b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/check_extension.py new file mode 100644 index 0000000000..998628802c --- /dev/null +++ b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/check_extension.py @@ -0,0 +1,128 @@ +#!/usr/bin/env python3 +"""Check the general completion identities without a producer import.""" + +import argparse +from fractions import Fraction as Q +from hashlib import sha256 +import json +from pathlib import Path + +PROOF = 'df76e7ff4b532bfab58a9aea5ce7d29493305a76013ef6cd20fb38b7ad2dde01' +INTERFACE = '5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3' + + +def need(test, label): + if not test: + raise ValueError(label) + + +def add(*polys): + out = {} + for poly in polys: + for word, value in poly.items(): + out[word] = out.get(word, 0) + value + return {word: value for word, value in out.items() if value} + + +def neg(poly): + return {word: -value for word, value in poly.items()} + + +def mul(left, right): + out = {} + for a, c in left.items(): + for b, d in right.items(): + out[a+b] = out.get(a+b, 0) + c*d + return {word: value for word, value in out.items() if value} + + +def product(left, right): + return [[add(*(mul(left[i][k], right[k][j]) for k in range(len(right)))) + for j in range(len(right[0]))] for i in range(len(left))] + + +def dense_product(left, right, modulus=None): + out = [[sum(left[i][k]*right[k][j] for k in range(len(right))) + for j in range(len(right[0]))] for i in range(len(left))] + return [[value % modulus for value in row] for row in out] if modulus else out + + +def determinant2(matrix): + return matrix[0][0]*matrix[1][1]-matrix[0][1]*matrix[1][0] + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--repo', required=True, type=Path) + parser.add_argument('--out', required=True, type=Path) + args = parser.parse_args() + lanes = args.repo / 'work/centre-encoding-campaign-20261014/lanes' + proof = lanes / 'schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md' + interface = lanes / 'circuit-interface/INTERFACE.json' + need(sha256(proof.read_bytes()).hexdigest() == PROOF, 'Frozen proof pin') + need(sha256(interface.read_bytes()).hexdigest() == INTERFACE, 'Actual interface pin') + zero, one = {}, {(): 1} + b, d, c = ({(letter,): 1} for letter in ('B', 'D', 'C')) + identity = [[one, zero], [zero, one]] + upper = [[one, b], [zero, one]] + lower = [[one, zero], [neg(d), one]] + t = product(lower, upper) + ti = product([[one, neg(b)], [zero, one]], [[one, zero], [d, one]]) + need(product(t, ti) == product(ti, t) == identity, 'Free noncommutative inverse orders') + j = [[add(one, neg(c)), neg(mul(c, b))], [neg(d), add(one, neg(mul(d, b)))]] + need(t[1] == j[1] and t[0] == [one, b], 'Unselected rows and complete query') + repair = [[add(t[i][j0], neg(j[i][j0])) for j0 in range(2)] for i in range(2)] + need(repair == [[c, add(b, mul(c, b))], [zero, zero]], 'General selected-K repair') + compatible = [[one, add(b, b)], [zero, zero]] + need(product(compatible, compatible) == compatible, 'Compatible split projection') + need(product(repair, repair) != repair, 'General repair need not be a projection') + finite_cases = 0 + noncompatible = 0 + for a in range(1, 5): + for b0 in range(5): + for c0 in range(5): + for d0 in range(5): + ai = pow(a, -1, 5) + t0 = [[1, ai*b0 % 5], [-d0*a % 5, (1-d0*b0) % 5]] + j0 = [[(1-c0*a) % 5, -c0*b0 % 5], [-d0*a % 5, (1-d0*b0) % 5]] + need(determinant2(t0) % 5 == 1, 'Every finite completion is a unit') + need(t0[1] == j0[1], 'Every finite completion retains U') + need(dense_product([[a, 0]], t0, 5) == [[a, b0]], 'Every finite query read') + g = (a*c0+b0*d0) % 5 + need((determinant2(j0) % 5 != 0) == (g != 1), 'Finite unit distinction') + if g == 1: + need(t0 != j0, 'A singular original needs one changed field') + finite_cases += 1 + noncompatible += c0 != ai + need(finite_cases == 500 and noncompatible == 400, 'Complete finite family') + # The two converse qualifications are exact over the dyadic ring. + need(dense_product([[3, 0]], [[1, 0], [0, 1]]) == [[3, 0]], 'Non-onto converse control') + arbitrary_repair = [[1, 0], [-6, -1]] + need(determinant2(arbitrary_repair) == -1, 'Unit repair without unit query minor') + need(arbitrary_repair[0][1] == 0 and [3, 1][1] != 0, 'Selected output cannot read full query') + data = json.loads(interface.read_bytes()) + r = [[Q(row.get(str(p), 0)) for p in range(112)] for row in data['R']] + selected = [0, 7, 20, 27, 36, 46, 57, 111] + rt = list(map(list, zip(*r))) + rr = dense_product(r, rt) + rs = [[row[p] for p in selected] for row in r] + rss = dense_product(rs, list(map(list, zip(*rs)))) + need(rr == [[56*int(i == j) for j in range(8)] for i in range(8)], 'Actual R R transpose') + need(rss == [[4*int(i == j) for j in range(8)] for i in range(8)], 'Actual selected minor') + need(5*5 % 13 == 8*8 % 13 == 12 and pow(2, -1, 13) == 7, 'Both Gaussian residue maps') + result = dict(status='PASS_GENERAL_COMPLETION_EXTENSION', proof_sha256=PROOF, + interface_sha256=INTERFACE, + free_polynomial_checks=['both inverse orders', 'unselected rows', 'full query', + 'arbitrary selected K', 'compatible projection', + 'noncompatible nonprojection control'], + finite_cases=finite_cases, noncompatible_cases=noncompatible, + exact_converse_controls=2, actual_rr_transpose=56, actual_selected_gram=4, + qualifications=['For c changed fields the nonlinear proof uses U_c, the n-c retained fields.', + 'No native, global controller, or record-hosting replay is performed.']) + args.out.mkdir(parents=True, exist_ok=True) + (args.out / 'CHECK.json').write_text(json.dumps(result, sort_keys=True, indent=2) + '\n') + print(result['status']) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md new file mode 100644 index 0000000000..2d16e64f4a --- /dev/null +++ b/research/borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md @@ -0,0 +1,248 @@ +# A full-query unit completion and its exact row count + +A unit selected query minor is sufficient to store the complete query +in those output fields while keeping every other row of I-KR. The +selected part of K need not be the inverse minor. The resulting code +is a product of two invertible triangular maps. + +If RK=gI and 1-g is not a unit, no unit encoding can change fewer +output fields than the query dimension. If 1-g is a unit, I-KR is +already a unit. This gives an exact field-count distinction when a +unit query minor is available. It gives no native-child lower bound. + +## Construction without the compatibility condition + +Let A be a commutative ring with 1 different from 0. Let + + V = A^(nN), W = A^(dN), 1 <= d <= n, N >= 1. + +Partition V into n fields, each with N coordinates. Select d complete +fields, denoted S, and let U be the other fields. Let R:V->W and +K:W->V be A-linear maps. Write R_S=R i_S. Suppose R_S is a unit. +No identity involving RK is needed in this section. + +Define + + L = R_S pi_S, G = i_S R_S^-1, + B = R-L, D = i_U pi_U K, + J = I-KR. + +The identities LG=I, LD=0, and BG=0 follow from the field supports. +Thus (DL)^2=(GB)^2=0. Set + + T = (I-DL)(I+GB), + T^-1 = (I-GB)(I+DL). (1) + +Each factor has the displayed inverse over A. The two products in +(1) are exact inverses in both orders. No determinant or odd inverse +is needed to execute this algebraic code. + +Expansion and the three identities above give + + T = I+GB-DR, + pi_U T = pi_U J, + L T = R, + T-J = GB + (i_S pi_S K) R. (2) + +Every output row in (T-J) lies in S. The equations pi_U T=pi_U J and +LT=R determine T uniquely, since R_S is invertible. + +In coordinates a=R_S x_S and u=x_U, let f=a+Bu. Then + + T:(a,u) -> (f,u-Df), + T^-1:(f,u') -> ((I-BD)f-Bu',u'+Df). (3) + +The two shears have determinant 1 on the full finite free module. +Hence T has determinant 1. More generally, the product formula is +valid over a noncommutative coefficient ring whenever the stated +module maps and two-sided inverse R_S^-1 exist. The commutative-ring +hypothesis is used below for the converse and residue-field claims. + +If pi_S K=R_S^-1, with the inclusion understood, then K=G+D. +Equations (1)-(2) become the producer's construction, and + + T-J = G(2R-L), (T-J)G=G. (4) + +The repair in (4) is a split projection: (T-J)^2=T-J. Its image is +exactly the selected field module. This statement uses the compatibility +condition; the more general repair in (2) need not be a projection. + +If also RK=gI, then BD=(g-1)I. The inverse in (3) becomes + + T^-1:(f,u') -> ((2-g)f-Bu',u'+Df). (5) + +In the actual case g=14, the first coefficient is -12. + +## When a selected full-query completion exists + +Assume that R is onto. Fix the selected set S of d fields. Then the +following statements are equivalent: + +1. R_S is a unit over A. +2. There is a unit code T with pi_U T=pi_U J and LT=R, where + L=R_S pi_S. +3. There is a unit code T and some linear readout Q:V_S->W such that + pi_U T=pi_U J and Q pi_S T=R. + +The construction proves 1 implies 2, and 2 implies 3. For 3 implies 1, +R being onto forces Q to be onto. It is a square matrix over a +commutative ring, so it has a right inverse and its determinant is +a unit. Thus Q is a unit. With row order S,U, the matrix + + M = [ R ; pi_U J ] = diag(Q,I) T + +is a unit. Add (pi_U K) times its first block row to its second block +row. This invertible row operation gives + + [[R_S,R_U],[0,I]]. + +Its determinant is det(R_S). Hence R_S is a unit. The readout Q need +not equal R_S. The conclusion applies to any linear full-query code +in precisely the selected fields when all other rows are retained. + +Surjectivity is essential for this converse. Over Z[1/2], take +R=[3,0], K=0, and T=I. The equation R_S pi_S T=R holds with the +nonunit minor R_S=3, because R itself is not onto. + +A unit minor is not necessary for a row repair that does not store +the complete query. For example, over Z[1/2], let + + R=[3,1], K=[4,2]^T, RK=14, + J=[[-11,-4],[-6,-1]]. + +Changing the first row to [1,0] gives a unit matrix of determinant -1, +but its selected output does not give the full query through the +required linear readout. This separates a query completion from an +arbitrary unit repair. + +## Exact minimum number of changed fields + +Now assume RK=gI, where g is a scalar in A. A unit d-field minor of +R remains available. The minimum number c of complete output fields +on which an A-linear unit T' can differ from J is + + c_min = 0, if 1-g is a unit; + c_min = d, if 1-g is not a unit. (6) + +The minimum in (6) permits any unit repair. It does not require that +the repaired output also store the complete query. + +If 1-g is a unit, then + + J^-1 = I + (1-g)^-1 KR. + +Thus c=0 is possible. Conversely, if J is a unit, the identity + + (I-RK)^-1 = I+R J^-1 K + +shows that (1-g)I is a unit. Since dN>0, this implies that 1-g is +a unit. This also proves J is a unit if and only if 1-g is a unit. + +Suppose instead that 1-g is not a unit. It belongs to a maximal ideal +m of A. Let k=A/m and use bars for the reduced maps. Then + + Rbar Kbar=I, + ker(Jbar)=im(Kbar), + dim_k ker(Jbar)=dN. (7) + +Indeed Kbar is injective, Rbar is onto, and Kbar Rbar is an +idempotent of rank dN. If T' is an A-unit, T'bar is a k-unit. +The restriction of T'bar-Jbar to ker(Jbar) equals T'bar and is +injective. Therefore + + rank_k(T'bar-Jbar) >= dN. (8) + +If T'-J changes only c whole fields, this rank is at most cN. Hence +c>=d. Construction (1) changes at most d fields and attains equality. +This proof does not require the compatibility condition on K_S. + +For any specified field homomorphism A->k with g mapping to 1, the +same lower bound holds. Existence of a maximal ideal is only needed +to state the exact dichotomy (6) for every nonunit 1-g. + +The field-count bound also applies to a nonlinear code which has a +surjective reduction on the complete residue module and retains +the same unselected output coordinates. If c F13, i ->5 or i ->8=-5 + +are defined: the two images square to -1, and 2 is invertible. Under +either map 14 becomes 1. Hence J has residue rank 104N, every unit +repair has difference rank at least 8N, and exactly eight output +fields are necessary. The explicit repair has rank 8N and the +completed operator has rank 112N. + +For the complete finite cover, each field has a common finite number +N of cover and payload coordinates. Do not replace this module with +its constant-array sector. The identities tensor with I_N. Matched +unit views R'=W R V^-1 and K'=V K W^-1 preserve RK=14I. If V +preserves each complete data field, the selected minor becomes +W R_S V_S^-1 and stays a unit. Thus the argument applies to the +complete routed module. + +More generally, independent unit input and output views preserve +the residue nullity of J. A fieldwise output view also preserves +which complete output fields a repair changes. Thus the lower bound +does not depend on writing every physical endpoint in one common +input-output view. The view maps must actually be units over the +stated ring; an inherited inverse that divides by 13 cannot be +silently included. + +The literal local component has relative old-baseline code C_S T, +where C_S applies a native line only on the eight selected outputs. +C_S is a Gaussian-dyadic unit which preserves each output field. +Therefore (C_S T-J)_U=0, and its changed-field count is also exactly +eight. The selected physical outputs are FULL; the other Y outputs +keep their inverse-line frames. The field-count theorem does not +permit a scalar gate between those unequal frames. + +The same actual lower bound covers dyadic real-linear unit codes, +including complex conjugation. Realify every complex field into 2N +coordinates over Z[1/2], then reduce modulo 13. The centre module +has dimension 16N and J has nullity 16N. A change in c complex fields +has rank at most 2cN. Thus c>=8 again. This version uses the full +realified module; one Gaussian residue sector alone is not enough +for a map which exchanges the two sectors. + +The result permits an exact lossless full-query encoding without +extra query output fields and without an odd inverse. Compositions +and algebraic inverses of these codes stay dyadic. It does not price +their native access, their changing frame types, a later old-stage +query, recursive hosting, borrowed workspace, approximation error, +or the complete supplier. The actual local word pays eight native +line children, but no lower bound on that child count is proved here. + +Dyadic coefficients alone do not make a data map a dyadic unit. +J itself is a counterexample. Helper restoration also does not prove +that property if the word can clear owned private fields. The explicit +two-sided inverse in (1) proves the required property for T. A code +which leaves information in unreturned helpers is outside the final +unit-data-map contract. + +The complete input module is also essential. On the restricted +subspace ker(R), J is already the identity, so no changed row is +needed there. If division by 13 is allowed, the actual J is a unit +with its usual inverse, so this coefficient-ring obstruction is gone. +Approximate or grid-dependent decoders need a separate analysis. + +The coordinating agent proposed the actual modulo 13 lower bound. +The paired-package-review lane supplied the unit code and its local +word. This extension removes the selected-K compatibility premise +and proves the query-completion converse and exact g distinction. +It was developed and checked with AI assistance. Publication remains +on hold. diff --git a/research/borrowed-centre-storage/annex/general-completion/replay.py b/research/borrowed-centre-storage/annex/general-completion/replay.py new file mode 100644 index 0000000000..334754e1dc --- /dev/null +++ b/research/borrowed-centre-storage/annex/general-completion/replay.py @@ -0,0 +1,82 @@ +#!/usr/bin/env python3 +"""Replay the unchanged general-completion checker from local inputs.""" + +import argparse +from datetime import datetime, timezone +from hashlib import sha256 +import json +from pathlib import Path +import shutil +import subprocess +import sys +import time + + +def need(condition, message): + if not condition: + raise ValueError(message) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", required=True, type=Path) + args = parser.parse_args() + root = Path(__file__).resolve().parent + out = args.out.resolve() + need(not out.exists(), "Output directory must not exist") + need(out.parent.is_dir(), "Output parent directory must exist") + need(root != out and root not in out.parents, "Output must be outside the annex") + need(shutil.disk_usage(out.parent).free >= 3 * 1024**3, "At least 3 GiB must be free") + manifest_path = root / "MANIFEST.json" + manifest_bytes = manifest_path.read_bytes() + manifest = json.loads(manifest_bytes) + + def check_files(): + actual_paths = {str(path.relative_to(root)) for path in root.rglob("*") + if path.is_file()} + need(actual_paths == set(manifest["files"]) | {"MANIFEST.json"}, + "Annex file set differs from the manifest") + for relative, expected in manifest["files"].items(): + need(sha256((root / relative).read_bytes()).hexdigest() == expected, + "Annex file hash: " + relative) + + check_files() + out.mkdir() + review = (root / "frozen/work/centre-encoding-campaign-20261014/lanes" + / "paired-package-review/upstream-followthrough-20261015/general-completion-review") + command = [sys.executable, "-I", "-O", "-B", str(review / "check_extension.py"), + "--repo", str(root / "frozen"), "--out", str(out)] + started = time.monotonic() + result = subprocess.run(command, capture_output=True, text=True, check=False) + (out / "checker.stdout.txt").write_text(result.stdout, encoding="utf-8") + (out / "checker.stderr.txt").write_text(result.stderr, encoding="utf-8") + need(result.returncode == 0, "General completion checker failed; read the output logs") + actual = (out / "CHECK.json").read_bytes() + expected = (review / "CHECK.json").read_bytes() + need(actual == expected, "Complete checker receipt differs from the frozen receipt") + need(json.loads(actual)["status"] == "PASS_GENERAL_COMPLETION_EXTENSION", + "Unexpected checker status") + check_files() + receipt = { + "status": "PASS_BORROWED_CENTRE_GENERAL_COMPLETION_ANNEX", + "command": command, + "manifest_sha256": sha256(manifest_bytes).hexdigest(), + "annex_files_checked": len(manifest["files"]), + "checker_receipt_sha256": sha256(actual).hexdigest(), + "complete_receipt_byte_match": True, + "source_bytes_unchanged_after_run": True, + "seconds": round(time.monotonic() - started, 6), + "finished_utc": datetime.now(timezone.utc).isoformat(), + "execution": "One unchanged independent checker; Python standard library", + "scope": "Algebraic completion and changed-output fields; no native-child bound", + "checks_not_run": ["Native kernels or physical words", "Global controller", + "Finite precision and recursive storage", "Complete supplier invoice"], + "kappa_improvement": False, + } + (out / "REPLAY.json").write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n", + encoding="utf-8") + print(receipt["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/ADAPTATIONS.json b/research/borrowed-centre-storage/annexes/full-w-component/ADAPTATIONS.json new file mode 100644 index 0000000000..476e18e498 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/ADAPTATIONS.json @@ -0,0 +1,12 @@ +{ + "changes": [ + { + "original": "frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py", + "portable": "portable/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py", + "original_sha256": "c40fce712e369f22c2f1dd95646bbc7fabd3a49429903a29330a225a35632391", + "portable_sha256": "321f7511fa507bbfef93ad4df951d984665bea9ba7c6ea6af3bc45e59c48e902", + "reason": "Replace one absolute repository root with the same root derived from the unchanged source directory layout. No mathematical operation or pin changes." + } + ], + "archive_policy": "The exact original6095634-byte archive is included. Archive hashes and member reads remain unchanged. No archive loader is replaced." +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/ADAPTATIONS.patch b/research/borrowed-centre-storage/annexes/full-w-component/ADAPTATIONS.patch new file mode 100644 index 0000000000..77730e6ca0 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/ADAPTATIONS.patch @@ -0,0 +1,11 @@ +--- frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py ++++ portable/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py +@@ -16,7 +16,7 @@ + + + HERE = Path(__file__).resolve().parent +-ROOT = Path('/Users/aliromman/Projects/IntegerMultiplicationBounds') ++ROOT = HERE.parents[6] + LANES = ROOT/'work/centre-encoding-campaign-20261014/lanes' + PACK = HERE.parent.parent + RESIDUAL = LANES/'residual-syndrome/physical-algebra/eight-record-review-20261015' diff --git a/research/borrowed-centre-storage/annexes/full-w-component/NOTICE.md b/research/borrowed-centre-storage/annexes/full-w-component/NOTICE.md new file mode 100644 index 0000000000..94a64e3e63 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/NOTICE.md @@ -0,0 +1,19 @@ +# Source and review credit + +This annex preserves the full-W consumer, two-cut donor construction, +dirty-record repair, delayed cleanup, ordered composition, and all-output +noninterference work from the campaign's portable-source-codes, +source-domain, and residual-syndrome lanes. Each retained proof and review +keeps its original credit and historical status. The source paths and +SHA256 hashes are in [SOURCES.json](SOURCES.json). + +The historical raw core, owner schedule, input source logger, and QQ16 +contracts are predecessors. The [parent notice](../../NOTICE.md) records +their published source credit and license terms. This annex does not +claim those inherited results as new. It does not infer authorship from +a PR submitter account. + +OpenAI Codex supplied substantial research, implementation, extraction, +and review assistance. The independent reviews are separate AI-agent +calculations. 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@@ +# Accepted component contracts + +The [full-W acceptance](frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/FULL-W-ACCEPTANCE.json) +combines the following separate results. Their original files and hashes +are unchanged. This note gives their relationship; it adds no theorem. + +1. The [ordered composition review](frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/REVIEW.md) + binds the exact repair, full-W parking, delayed cleanup, and final donor + restoration to all 482 original events and 48 procedure calls. It checks + the complete component invoice. Its donor census and all-output audit + are separate review inputs. +2. The [two-cut donor review](frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.md) + reconstructs all 144 active owner sets, 69,120 complete helper jobs, + 7,526 idle suffixes, and 35,840 pending-child partitions. It proves the + fixed 128-donor allocation and both native intervals, all three adapters, + return deadlines, and the peak use of 48 borrowed fields. +3. The [literal cleanup review](frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.md) + verifies both frozen cleanup words on all 713 input columns under the + declared completed cut and transport identities. The accepted component + uses the one-C word, with scalar allowance 23,780 and 224 maps per + replica. The other literal word has allowance 25,152. +4. The [all-output review](frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/REVIEW.md) + proves that the added dirty-record channels vanish in all 14,336 final + old fields. Its separate checker reconstructs the pending work and uses + exact quadratic phase identities. It does not identify the reference + target map on the other three pairs. + +At a local repair, let z be data and h an arbitrary donor baseline. The +accepted ordered contract is + +```text +d = z + E h, r = h + G z, G E = 0. +``` + +The cleanup first applies `r -= G d`, so r becomes h. It then applies +`d -= E r`, using that updated value, so d becomes z. Both identities hold +for arbitrary correlated inputs. The actual word also needs the stated +native and cover views. The donor return must precede its final A3 adapter. +The three adapters return every donor to its old required native output. + +The full-W swaps park the complete 224-field pair. The all-output proof +tracks the temporary donor queries and the temporary data error through +the complete schedule. No active core or other scalar use receives those +channels before cleanup. Complete helper jobs act separately on each +field under their inherited two-sided contract. The cleanup removes the +data error, and the final adapter removes the donor phase difference. +Thus the final difference from the clean-owned reference is zero. + +The original raw-core, QQ16, local repair, and clean-owned full-W consumer +reviews remain pinned premises. The four-check replay does not repeat +their old kernel suites. A complete helper contract does not authorize +arbitrary intermediate helper access. + +The negative controls reject the wrong cover direction, A3 before donor +return, an extra synthetic record advance, selected-only parking, the +missing full swap before F2, and omission of the final data correction. +Each control belongs to the retained review that states it. + +The old composition note says the donor and all-output reviews are pending. +That statement records its earlier date. The later component acceptance +pins both completed independent reviews. The old note is preserved; its +scope is not expanded in place. All reviews are separate AI-agent checks, +not human review or formal-kernel proofs. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/README.md b/research/borrowed-centre-storage/annexes/full-w-component/README.md new file mode 100644 index 0000000000..c04f03bb92 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/README.md @@ -0,0 +1,82 @@ +# Full-W component with borrowed records + +The accepted full-W word uses 128 old donor families, with at most 48 +borrowed fields live at one time. It adds no owned record family. Its +14,336 final old-field outputs equal the outputs of the same full-W +consumer with clean owned records, on the same original inputs. This is +a relative output theorem. The target transform is identified for only +the 3,584 protected first-pair outputs. The other three-pair target map +remains open. There is no complete supplier or kappa improvement. + +The original [component acceptance](frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/FULL-W-ACCEPTANCE.json), +[outer construction](frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/DIRTY-CONSUMER.md), +[all-output proof](frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/PROOF.md), +and [independent all-output review](frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/REVIEW.md) +state the exact result. [PROOF.md](PROOF.md) maps its four review contracts. +This annex is separate from the original parent-package replay, which +excluded this full-W component. + +| Added component, across sixteen replicas | Exact count | +| --- | ---: | +| Distinct borrowed donor families | 128 | +| Peak live borrowed fields | 48 | +| New owned record families | 0 | +| Native children | `3784 H1 + 7 H2` | +| Native rank mass | 3,798 | +| Native affine wrappers | 7,582 | +| Ordinary and donor cover maps | 8,192 | +| Capture, repair, and erase scalar allowance | 705,632 | +| Full replacement bridge scalar allowance | 559,104 | +| Total scalar component allowance | 1,264,736 | + +The bridge allowance replaces the old bridge bill. It is not an increment +to that bill. These counts exclude retained raw calls, old helper and idle +jobs, the final common cover correction, recursive child costs and storage, +finite address and controller costs, and precision. No productive-field +credit follows from borrowing a field. + +## Replay + +Use Python 3.10 or later, its standard library, one CPU, and at least +3 GiB of free space. No Git checkout, network, or external package is +required. From this annex directory, use a new output directory: + +```sh +python3 -I -B replay.py --out /tmp/full-w-component-check +``` + +The final line must be: + +```text +PASS_FULL_W_COMPONENT_ANNEX +``` + +The runner executes four frozen independent checkers with `-I -O -B`, +one at a time: ordered composition, actual donor allocation, literal +delayed cleanup, and the independent all-output difference check. It +compares each resulting receipt byte for byte with its frozen receipt. +The sources are checked before and after execution. The old raw native +kernel suite and the clean-owned reference consumer are inherited +premises, not additional replay jobs. + +[SOURCES.json](SOURCES.json) pins all 66 retained files. The exact historical +6,095,634-byte source archive is included. The archive and member checks +remain unchanged. The only [portable change](ADAPTATIONS.patch) replaces +one absolute repository root with the root derived from the source path. +No formula, event, check, source pin, or receipt comparison changes. + +## Scope and remaining work + +The local identities apply to arbitrary correlated data and donor values. +Complete helper endpoints are required. The argument gives no access at +an internal helper cut. Whole-pair parking and the order of gather, return, +and all three donor adapters are material premises. + +No added donor error survives in any final old field. This does not mean +that the clean reference outputs are independent of the donors' original +productive inputs. Those original input dependencies can remain. + +New recursive child hosting, finite stream and address implementation, +rounding and precision, the other three-pair target map, and a complete +supplier invoice remain open. This extraction adds no new research claim. +See [NOTICE.md](NOTICE.md) for source credit and review limits. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/SOURCES.json b/research/borrowed-centre-storage/annexes/full-w-component/SOURCES.json new file mode 100644 index 0000000000..2ddd48b281 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/SOURCES.json @@ -0,0 +1,669 @@ +{ + "schema": "full-w-component-sources-v1", + "scope": "Exact input files for four independent component checks; retained reviews state all inherited premises. 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100644 index 0000000000..e5f8aad927 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/REVIEW.json @@ -0,0 +1,72 @@ +{ + "accepted_consumer_manifest_sha256": "ca8f0cad4f445a8a13215a91b49f9cbfa9eb872e2bfed6b52feccdb948174419", + "accepted_precision_manifest_sha256": "f298bd0ad8fc3269204308cc9fee7a8809de9c5b1ef48da9de2efc742eaa50b8", + "accepted_precision_supplement_manifest_sha256": "963fffd697f5bf3b8b152d41535809739576fb3b6c2c75efd27d11a065b02c69", + "accepted_precision_supplement_proof_sha256": "efef7e3b7d040600b9183adc9f412183aa94978394a2551d7a0697a56ac7e468", + "all_original_packet_files_preserved": true, + "all_source_pins_rechecked_after_execution": true, + "complete_kappa_effect": "No improvement is established.", + "early_owner_separation": { + "F0_to_B1_active_helper_idle_bridge_uses": 0, + "before_F0_active_helper_idle_bridge_uses": 0, + "replicas": 16 + }, + "files": { + "INDEPENDENT.json": "b6e2a2b767f03f652f1d3f9ff8ae752e2d5e7de07c434d12e1dcc27b0182c3ad", + "REVIEW.md": "e1359ace6566dfe02d01747b650754942673703a5a9130b21c7f5123b6dd4a77", + "review_followthrough.py": "c0dba20c069fa72c4d50df808649110b9b18c660c6e43efdea041fc5bca8d647" + }, + "findings": [ + { + "effect_on_claimed_bounds": "none", + "fact": "4804 counts relative-phase cache keys. Common-F canonical source-owner-phase terms: 856; canonical owner-phase operators: 602; phase polynomials: 602.", + "severity": "nonmaterial census label", + "status": "resolved by the accepted frozen supplement" + } + ], + "free_bytes_at_freeze": 15651139584, + "fresh_phase_check": { + "C8_coefficients": 256, + "coefficients": 4232, + "forms": 548, + "method": "Direct Gaussian Fourier sums" + }, + "independent_checker_imports_producer_or_upstream_module": false, + "inherited_local_component_review_sha256": "8e8e444d8d36cfe24b7f40d61ff07ab48542fbab07a72bf323f44b8d4b0661c1", + "minimum_free_bytes": 3221225472, + "record_peak": { + "checked_by": [ + "actual allocation", + "interval overlap" + ], + "fields_per_set": 16, + "local_scratch_is_separate": true, + "sets": 4, + "whole_cover_fields": 64 + }, + "remaining_obligations": [ + "Full upstream suite", + "Old child kernel suite", + "Physical entry guarantees from F0 and B1", + "Approximate children", + "Scalar primitive interiors", + "Child internal precision", + "New record and child hosting", + "Global controller precision", + "Other output target map", + "Complete supplier or kappa claim" + ], + "schedule_coverage": { + "active_owner_sets": 144, + "events": 482, + "first_six_bridge_instances": 96, + "idle_events": 160, + "idle_suffixes": 7526, + "whole_helper_jobs": 69120 + }, + "schema": "independent-common-f-followthrough-review-v1", + "scope": "Typed port-retirement consumer for any subset W and conditional exact caller precision for the common-F word and its 96 ordinary Y returns. No complete controller, supplier or kappa claim.", + "status": "PASS_INDEPENDENT_COMMON_F_FOLLOWTHROUGH_REVIEW", + "upstream_full_suite_rerun": false, + "upstream_small_checker": "PASS_QQ16_PHASE_KERNEL forms=548 coefficients=4232 c8_coefficients=256 controls=4" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/REVIEW.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/REVIEW.md new file mode 100644 index 0000000000..0a9a084a63 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/REVIEW.md @@ -0,0 +1,256 @@ +# Independent review of the common-F follow-through packets + +The typed consumer and the conditional caller precision theorem pass this +review. No material theorem, schedule, phase, or cost defect was found. +One nonmaterial census-label finding is resolved by the separate frozen +clarification named below. The accepted +claims do not improve the complete kappa calculation. New owner storage, +child hosting, physical access, and complete supplier precision remain open. + +This review is private. No producer file, commit, PR, comment, or other +public artifact was changed. The review used a separate OpenAI Codex agent. +It is not independent human review. + +## Frozen sources + +The consumer manifest is +`ca8f0cad4f445a8a13215a91b49f9cbfa9eb872e2bfed6b52feccdb948174419`. +The precision manifest is +`f298bd0ad8fc3269204308cc9fee7a8809de9c5b1ef48da9de2efc742eaa50b8`. +Acceptance also includes `CENSUS-CLARIFICATION.md`, with SHA256 +`efef7e3b7d040600b9183adc9f412183aa94978394a2551d7a0697a56ac7e468`, +and its supplemental manifest, with SHA256 +`963fffd697f5bf3b8b152d41535809739576fb3b6c2c75efd27d11a065b02c69`. +All 19 files named by these two manifests pass their SHA256 checks. +The exact local common-F review remains +`8e8e444d8d36cfe24b7f40d61ff07ab48542fbab07a72bf323f44b8d4b0661c1`. +Its file pins also pass. + +The local repair contract is inherited without change. On raw physical +input `(a,b)`, the repaired pair is `(F_U1 Q^-1 a,F_U1 b)`. The early +records and local scratch are owned roles. They end at zero. The new +review does not repeat the local recovery proof or the old child kernels. + +The complete QQ16 native review has SHA256 +`e9e9287a4a4d1be3c802899a42f70ff5dd5efd1e144a48bd585386fe234832e5`. +It supplies the two-sided arbitrary-helper content contract. The original +owner and phase review has SHA256 +`8b8c4d814b44c2fc42cf9ad995f8451512309fcfc46bea9317ebe4b4d79e8a4d`. +It supplies the fixed-owner helper operator and the final all-cover +correction. The new checker binds these premises to the actual source +archive, schedule, native recipes, and literal patch word. + +The precision source is PR #2603 at commit +`961288204c6138deac2bf8cf6ea348560bcf56d6`. All eleven copied Git blobs +match the recorded blob identities. This check uses the frozen retrieval +record. It does not repeat the GitHub fetch. The upstream proof was read. +The full upstream suite was not run. + +## Consumer checks + +The checker imports no producer or upstream module. It reconstructs all +69,120 whole helper jobs, 7,526 idle suffixes, and 160 strict idle windows +from the source archive. It checks each literal helper owner, width, route, +axis slice, deadline, and partition. An exact phase is then carried through +all 482 source events and all 144 ordered active owner sets. This replay +includes helpers from other replicas and partial advances before an idle +deadline. + +Two early-owner gates were added to the review. For each of the sixteen +replicas, all 224 pair-0 data families have no active or helper use before +their own F0. They also have no such use strictly between F0 and B1. There +is no pair-0 idle or bridge in either interval. The per-replica event +positions and all zero counts are in `INDEPENDENT.json`. These gates bind +the raw inputs to the global entrance and keep the captured F0 records +aligned with their source arrays until B1. Later helper commutation does +not replace these gates. + +The scalar swap was checked on two independent physical symbols. Its +prefixes are `a+b`, `-a`, `b`, and `a`. Thus the last sign is required and +the complete operation exchanges both arrays. Equal native types are not +an assumption. It needs three complex ADDs and one complex sign, with +retained real allowance 26. It adds no fractional reserve. Its component +bound is `H_a+H_b`. +One magnitude guard bit is sufficient above a common input bound. The +final positive X line is a rank-one physical operator. Its conditional +fractional reserve is `ceil(lambda/2)` and its box gain is +`2^ceil(lambda/2)` on its physical input. + +The first two swaps put the protected values in pair 1 during F2, then +return them to pair 0. All later active calls have their original native +types and read no protected value. The first six bridge positions agree +with the literal source events in all sixteen replicas. The final three +bridges and terminal actions are omitted only on the chosen ports. + +A complete helper job is a block diagonal physical operator under the +inherited arbitrary-input contract. Its helper output depends only on +that helper input. The active outputs have zero dependence on the helper +input. A different actual helper type does not change this linear identity: +the declared entrance frame is invertible, so it can represent every +physical input. Its fixed-owner endpoint is a product of intrinsic native +lines and translations. Those convolution operators commute with the +extra `C_(gq)` factor. No internal gather is commuted through a query. + +The exact phase replay checks 1,436 whole helper jobs on protected fields +for the 16-port case. Of these, 894 carry the extra Y line. For all 112 +ports, the corresponding counts are 9,619 and 6,016. All old jobs and idle +translations remain in their original order. + +Before the last common cover translation, the protected raw X operator is +`F_(gU8) C_(gq)^-1`; the raw Y operator is `F_(gU8)`. All 112 positive line +recipes have inverse native wrappers, the actual label q, and zero extra +positive-line translation. They cancel the X inverse exactly. The retained +all-cover correction then gives the global `F_73` on both original raw +inputs. The checker does not replace `F_(gU8)` by the global `F_73` before +that correction. + +The chosen inputs have no coefficient in other outputs. After the inherited +repair, each chosen original value occurs only in its own data field. +Swaps move that value without a copy. Later active calls and ordinary +bridges do not read it. Each complete helper keeps it separate. This proves +the direct split claimed by the packet. It does not identify the target map +of the other outputs. + +The full phase replay checks the 16-port case, all 112 ports, and the empty +set. The result for an arbitrary subset W follows port by port: native +endpoint phases, same-port swaps, ordinary bridges, helper endpoints, and +terminal choices use only membership of that port in W. Every active +entrance has its original type for either membership choice. The local +active content map is valid on arbitrary inputs of those types. This is +the argument for all subsets; the checker does not enumerate `2^112` sets. + +## Costs and record lifetime + +The literal patch gives 224 rank-one and 16 rank-eight added children, +mass 352, and 480 native wrappers per replica. The 112 partial-return and +endpoint lines partition the ports. Thus the mass is +`240+(112-|W|)+|W|=352`. The existing repair has 208 cover maps and real +scalar allowance 16,338. These counts were recomputed from the word. + +The two boundary bridges cost `3584+72|W|` real primitives. All nine +bridges cost `16128+168|W|`. These are complete bridge bills for the stated +patch, not increments over the source bill. They exclude off-W terminal +work, the old tail, physical stream cost, and the final cover translation. + +| Chosen ports | Native mass | Two boundary bridges | All nine bridges | +| --- | ---: | ---: | ---: | +| 16 | 352 | 4,736 | 18,816 | +| 112 | 352 | 11,648 | 34,944 | + +The actual record intervals give four live sets at the peak. A separate +interval-overlap calculation gives the same result. The first four source +events capture four sets before any B1 repair, so fewer than four sets +cannot serve this literal schedule. Each set has sixteen whole-cover +records. The exact peak is therefore 64 record fields, plus the separate +local scratch role. No productive stock credit or old arbitrary field is +used to host them in this review. + +## Precision checks + +The independent replay starts from raw physical entry arrays. Each term +contains a source name, its actual right-owner matrix, a dyadic coefficient, +and a physical quadratic phase. A native line adds its physical phase. +A map `M_(g,delta)` sends an owner h to gh and sends phase P to +`gP+2 parity(delta)`. Each ADD combines exact equal-source terms. +The full 73-column matrices are retained. + +A separate check compares every resulting physical term with `F-hS`, +where F is the current frame, S is its source frame, and h is the actual +right-owner matrix. There are 86,284 such checks in the common-F case. +Reversing matrix composition is rejected. Thus the precision replay does +not substitute a payload permutation for an actual cover route. + +Every published prefix-table hash is reproduced exactly. The common-F +word has 2,054 events and 2,275 changed-field boundaries. The 96-return +extension has 2,150 events and 2,371 changed-field boundaries. Their +relative ranks are 0, 1, and 8. Their scalar debt maxima are 1, 1, and 2, +and their absolute coefficient-weight maxima are 136, 136, and 412. + +The Gaussian phase argument was checked independently with direct exact +Fourier sums: 548 quadratic forms, 4,232 coefficients, and 256 C8 +coefficients. The unchanged upstream small checker also passed: + +```text +PASS_QQ16_PHASE_KERNEL forms=548 coefficients=4232 c8_coefficients=256 controls=4 +``` + +For phase rank r, the kernel has `2^r` nonzero coefficients of squared +modulus `2^-r`. The Gaussian dyadic components have denominator exponent +`ceil(r/2)`, and the real-component box norm is `2^ceil(r/2)`. Tensor depth +lambda changes r to `r lambda`. The scalar coefficient is unchanged. +The observed debt maxima therefore give `4 lambda+2` fractional bits. + +The magnitude certificate is + +```text +H [136+136*2^ceil(lambda/2)+412*2^(4 lambda)]. +``` + +For every positive integer lambda, `2^ceil(lambda/2)<=2^(4 lambda)/8` +and `1<=2^(4 lambda)/16`. The bracket is at most +`(875/2)*2^(4 lambda)`, which is strictly below `2^(4 lambda+9)`. +This proves the stated all-layer magnitude reserve. At one layer, the +largest triangle certificate is 7000H at event 1973, field X36. The +certificate need not be attained by any complete input field. + +After the 96 ordinary Y returns, the physical row is exactly the inverse +line applied to minus the corresponding current X entry. It does not send +an early record term through a new line. The same bounds therefore hold. +Returning all 112 Y ports introduces ranks 2 and 9. The separate sufficient +term bound is `2+ceil(9 lambda/2)`. No minimum-precision claim follows. + +There is one census-label finding. The producer's value 4,804 is the number +of distinct cache keys `(frame tuple, source label, owner matrix)`. The +frame tuple is not a canonical phase polynomial. Thus this is not a count +of mathematically distinct relative phase operators. The independent +canonical physical census has 856 distinct `(source, owner, phase)` terms +in the common-F case. The receipt also gives the counts with source labels +removed, and with owner matrices removed. Suggested wording for 4,804 is +"distinct relative-phase cache keys". This label has no effect on the +prefix hashes, ranks, debts, weights, or theorem bounds. + +The separate clarification was read and its pins were checked. It uses +the correct cache-entry meaning for all three cases and keeps all original +bytes unchanged. It resolves this finding. The exact canonical counts are: + +| Case | Source, owner, phase | Owner, phase | Phase polynomial | +| --- | ---: | ---: | ---: | +| Common F | 856 | 602 | 602 | +| 96 Y returns | 952 | 698 | 698 | +| 112 Y returns | 3,344 | 2,650 | 2,650 | + +Here phase means the canonical mod-four quadratic polynomial. The three +columns use different equivalence relations. They must not be interchanged. + +## Reproduction and limits + +Run from the workspace root with Python 3. The checker uses one CPU and +writes only the named review receipt. It requires at least 3 GiB free. + +```sh +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 VECLIB_MAXIMUM_THREADS=1 python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/review_followthrough.py +``` + +Expected status: +`PASS_INDEPENDENT_COMMON_F_CONSUMER_AND_PRECISION_REVIEW`. + +Controls reject a missing ordinary Y return, either first boundary swap, +a missing final positive X line, and reversed owner composition. The +physical swap calculation also shows that omission of its final sign +leaves the second array negated. The reduced five-bit term-grid and +twelve-bit triangle certificates fail. They are not lower bounds on +the complete field's required precision. + +This review assumes the physical entry grid and component bound for the +sixteen early entries, 224 current entries, and owned dirt. It does not +derive those bounds from F0 or B1. It assumes exact atomic native children +and cover maps. It does not cover approximate children, scalar primitive +interiors, child-internal rounding, global record hosting, or helper and +idle prefix precision. The old tail and endpoint line have no combined +entry-bound certificate here. The modular swap and endpoint estimates +must not be added to the local result as a complete controller format. + +The new checker does not import or execute the producer checkers or +`phase.py`. The old QQ16 child suite and full PR #2603 suite were not +rerun. All source files were preserved. `REVIEW.json` pins this note, +the independent checker, and its exact receipt. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/review_followthrough.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/review_followthrough.py new file mode 100644 index 0000000000..baff2dbef4 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/review_followthrough.py @@ -0,0 +1,748 @@ +"""Check the frozen consumer and precision packets with exact arithmetic. + +Read data only. Do not import a producer or the upstream phase module. +Use physical source arrays for the precision replay. +""" + +import argparse +from collections import Counter, defaultdict +from fractions import Fraction as Q +from functools import lru_cache +import gzip +from hashlib import sha1, sha256 +from itertools import product +import json +from pathlib import Path +import shutil +import tarfile + + +ROOT = Path('/Users/aliromman/Projects/IntegerMultiplicationBounds') +LANES = ROOT / 'work/centre-encoding-campaign-20261014/lanes' +HERE = Path(__file__).resolve().parent +CONSUMER = HERE.parent / 'common-f-review-20261015' +PRECISION = HERE.parent / 'common-f-precision-20261015' +PACKET = LANES / 'paired-package-review/upstream-followthrough-20261015' +I = tuple(1 << j for j in range(73)) +SELECTED = (0, 7, 20, 27, 36, 46, 57, 111, 21, 37, 47, 76, 81, 87, 92, 110) +PINS = {} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def hashbytes(raw): + return sha256(raw).hexdigest() + + +def checked(path, pin): + raw = path.read_bytes() + need(hashbytes(raw) == pin, 'Source pin: ' + str(path)) + PINS[str(path.relative_to(ROOT))] = pin + return raw + + +def encoded(obj): + return json.dumps(obj, separators=(',', ':')).encode() + + +def phase_word(terms): + counts = Counter() + for v, c in terms: + if v: + counts[v] += c + return tuple(sorted((v, c % 4) for v, c in counts.items() if c % 4)) + + +@lru_cache(None) +def polynomial(terms): + """Return the linear bit planes and the upper quadratic bit plane.""" + low = high = cross = 0 + for v, c in terms: + if c & 1: + high ^= low & v + low ^= v + bits = v + while bits: + bit = bits & -bits + j = bit.bit_length() - 1 + cross ^= (v & (bit - 1)) << (j * (j - 1) // 2) + bits ^= bit + if c & 2: + high ^= v + return low, high, cross + + +def phase_sum(a, b): + return a[0] ^ b[0], a[1] ^ b[1] ^ (a[0] & b[0]), a[2] ^ b[2] + + +def phase_negative(a): + return a[0], a[1] ^ a[0], a[2] + + +def act(matrix, vector): + answer = 0 + while vector: + bit = vector & -vector + answer ^= matrix[bit.bit_length() - 1] + vector ^= bit + return answer + + +@lru_cache(None) +def compose(left, right): + return tuple(act(left, v) for v in right) + + +@lru_cache(None) +def transport(matrix, terms, shift=0): + return phase_word(tuple((act(matrix, v), c) for v, c in terms) + ((shift, 2),)) + + +def binary_rank(rows): + pivots = {} + for value in rows: + while value: + pivot = value.bit_length() - 1 + if pivot in pivots: + value ^= pivots[pivot] + else: + pivots[pivot] = value + break + return len(pivots) + + +@lru_cache(None) +def phase_rank(terms): + # A signed parity has polarization vv^T over F2. + rows = [0] * 73 + for v, c in terms: + if c & 1: + bits = v + while bits: + bit = bits & -bits + rows[bit.bit_length() - 1] ^= v + bits ^= bit + return binary_rank(rows) + + +def phase_kernel_check(): + forms = coefficients = 0 + for n in range(1, 4): + pairs = [(i, j) for i in range(n) for j in range(i + 1, n)] + for diagonal in product(range(4), repeat=n): + for edges in product(range(2), repeat=len(pairs)): + rows = [(a & 1) << i for i, a in enumerate(diagonal)] + for (i, j), b in zip(pairs, edges): + rows[i] ^= b << j + rows[j] ^= b << i + rank = binary_rank(rows) + kernel = [] + for character in range(1 << n): + real = imag = 0 + for x in range(1 << n): + q = sum(a for i, a in enumerate(diagonal) if x >> i & 1) + q += 2 * sum(b for (i, j), b in zip(pairs, edges) + if x >> i & 1 and x >> j & 1) + q += 2 * (character & x).bit_count() + z = ((1, 0), (0, 1), (-1, 0), (0, -1))[q % 4] + real += z[0] + imag += z[1] + kernel.append((Q(real, 1 << n), Q(imag, 1 << n))) + nonzero = [(a, b) for a, b in kernel if a or b] + need(len(nonzero) == 1 << rank, 'Fourier support') + need(all(a*a + b*b == Q(1, 1 << rank) for a, b in nonzero), 'Fourier norm') + need(sum(abs(a) + abs(b) for a, b in kernel) == 1 << ((rank + 1)//2), 'Real box norm') + need(max(max(a.denominator, b.denominator) for a, b in kernel) + == 1 << ((rank + 1)//2), 'Component denominator') + forms += 1 + coefficients += len(kernel) + c8 = [] + for character in range(256): + real = imag = 0 + for x in range(256): + exponent = (x.bit_count()+2*(character & x).bit_count()) % 4 + z = ((1, 0), (0, 1), (-1, 0), (0, -1))[exponent] + real += z[0] + imag += z[1] + c8.append((Q(real, 256), Q(imag, 256))) + need(all(a*a+b*b == Q(1, 256) for a, b in c8), 'C8 coefficient norm') + need(sum(abs(a)+abs(b) for a, b in c8) == 16, 'C8 box norm') + return {'forms': forms, 'coefficients': coefficients, 'C8_coefficients': len(c8), + 'method': 'Direct Gaussian Fourier sums'} + + +def source_data(): + manifests = [(CONSUMER, 'CONSUMER-MANIFEST.json', + 'ca8f0cad4f445a8a13215a91b49f9cbfa9eb872e2bfed6b52feccdb948174419'), + (PRECISION, 'MANIFEST.json', + 'f298bd0ad8fc3269204308cc9fee7a8809de9c5b1ef48da9de2efc742eaa50b8')] + for folder, name, pin in manifests: + manifest = json.loads(checked(folder/name, pin)) + for child, expected in manifest['files'].items(): + checked(folder/child, expected) + local = json.loads(checked(CONSUMER/'REVIEW.json', + '8e8e444d8d36cfe24b7f40d61ff07ab48542fbab07a72bf323f44b8d4b0661c1')) + for child, pin in local['files'].items(): + checked(CONSUMER/child, pin) + need(local['status'] == 'PASS_INDEPENDENT_COMMON_F_LOCAL_REVIEW', 'Local component review') + native_review = json.loads(checked(PACKET/'common-frame-source/evidence/NATIVE-REVIEW.json', + 'e9e9287a4a4d1be3c802899a42f70ff5dd5efd1e144a48bd585386fe234832e5')) + need(native_review['status'] == 'PASS_INDEPENDENT_CONSERVED_QQ16_FULL_COVER_NATIVE_COMPONENTS', + 'Whole QQ16 native review') + checked(LANES/'interface-proof/ORIGINAL-COMPLEX-MODES-REVIEW.json', + '8b8c4d814b44c2fc42cf9ad995f8451512309fcfc46bea9317ebe4b4d79e8a4d') + checked(LANES/'encoded-controller/QQ16-CONSERVED-CONTROLLER.md', + 'e18594af767a26b0202e857d45202f5f563db2a190b81a7ade8fd62fcef850b9') + archive = ROOT/'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' + checked(archive, 'f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6') + members = { + 'template': ('candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz', + '2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760'), + 'phases': ('candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json', + 'c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa'), + 'old_word': ('candidate/strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz', + '16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219')} + data = {} + with tarfile.open(archive) as stream: + for key, (name, pin) in members.items(): + raw = stream.extractfile(name).read() + need(hashbytes(raw) == pin, 'Archive member: ' + name) + PINS['archive-member:' + name] = pin + data[key] = json.loads(gzip.decompress(raw) if name.endswith('.gz') else raw) + data['word'] = json.loads(checked(PACKET/'common-frame-results/COMMON-F-RESTORATION-WORD.json', + 'c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e')) + data['native'] = json.loads(checked(PACKET/'common-frame-results/COMMON-F-NATIVE-RECIPES.json', + '8b58ab9d9983d8b105387923464e8c7a5639b95b1efbe193aa83e9de18949e6e')) + data['source'] = json.loads(gzip.decompress(checked(PACKET/'base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7'))) + upstream = json.loads((PRECISION/'upstream-2603/FETCH.json').read_text()) + need(upstream['commit'] == '961288204c6138deac2bf8cf6ea348560bcf56d6', 'Upstream commit') + for entry in upstream['files']: + raw = (PRECISION/'upstream-2603'/entry['file']).read_bytes() + need(sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest() == entry['git_blob'], + 'Upstream Git blob: ' + entry['file']) + return data + + +def family(replica, pair, side, port): + return 896*replica + 224*pair + 112*side + port + + +def canonical(q, level, side): + if level < 0: + return polynomial(((q, 1),)) if side == 0 else (0, 0, 0) + words = tuple((v, 1) for v in I[:9+8*level]) + return polynomial(words + (((q, -1),) if side else ())) + + +def prepare_jobs(data): + template, phases, old = data['template'], data['phases']['recipes'], data['old_word'] + events, calls = template['execution_schedule'], template['calls'] + need(len(events) == 482 and len(calls) == 144, 'Source schedule size') + deadlines, touches, positions = {}, defaultdict(list), {} + for at, e in enumerate(events): + if e['kind'] == 'local_cover_sweep': + c = calls[e['time']] + touches[c['replica'], c['pair']].append(at) + positions[e['time']] = at + elif e['kind'] == 'bridge': + touches[e['replica'], e['dst']].append(at) + touches[e['replica'], e['src']].append(at) + elif e['kind'] == 'idle_cover_sweep': + for side, child in enumerate(e['child_indices']): + deadlines[e['replica'], child] = at, side + jobs, suffixes, covered = defaultdict(list), defaultdict(list), defaultdict(set) + for job in template['hosting']['pooled_slots']: + at, side = deadlines[job['owner_replica'], job['child']] + e = events[at] + release = max([-1] + [t for t in touches[job['owner_replica'], e['pair']] if t < at]) + need(release < positions[job['time']] < at, 'Whole helper window') + f = family(job['owner_replica'], e['pair'], side, job['port']) + reg = 224 + job['helper'] + width = len(old['frames'][old['final'][reg]]) - len(old['frames'][old['start'][reg]]) + need(width == job['width'] and f == job['family'], 'Helper owner and width') + offset = job['offset'] + child = phases[job['port']]['idle_children'][job['child']] + axes = child['orthogonal_axes'][offset:offset+width] + need(len(axes) == width and width > 0, 'Helper axes') + start = 1 + 8*(e['from_level']+1) + offset + spectators = [j for j in range(73) if j not in range(start, start+width)][:9-width] + route = [3, job['child'], offset] if width == 9 else [4, job['child'], offset, width, spectators] + need(calls[job['time']]['owners'][reg] == [f, route], 'Literal helper route') + key = job['owner_replica'], job['child'], job['port'] + slots = set(range(offset, offset+width)) + need(not slots & covered[key], 'Repeated helper axis') + covered[key].update(slots) + jobs[job['time']].append((f, polynomial(tuple((v, 1) for v in axes)))) + for job in template['idle_children']: + at, side = deadlines[job['replica'], job['child']] + e = events[at] + f = family(job['replica'], e['pair'], side, job['port']) + child = phases[job['port']]['idle_children'][job['child']] + axes = child['orthogonal_axes'][job['pending_offset']:] + need(f == job['family'] and len(axes) == job['rank'], 'Idle suffix owner and axes') + key = job['replica'], job['child'], job['port'] + slots = set(range(job['pending_offset'], len(child['orthogonal_axes']))) + need(not slots & covered[key], 'Repeated suffix axis') + covered[key].update(slots) + suffixes[at].append((f, polynomial(tuple((v, 1) for v in axes)))) + for (replica, child), (at, side) in deadlines.items(): + for port in range(112): + need(covered[replica, child, port] == set(range(phases[port]['idle_children'][child]['rank'])), + 'Incomplete idle partition') + return jobs, suffixes, {'helper_jobs': sum(map(len, jobs.values())), + 'idle_suffixes': sum(map(len, suffixes.values())), 'idle_windows': len(deadlines)//2} + + +def early_owner_separation(data): + template = data['template'] + events, calls = template['execution_schedule'], template['calls'] + answer = [] + for replica in range(16): + first = next(at for at, e in enumerate(events) if e['kind'] == 'local_cover_sweep' + and e['replica'] == replica and e['stage'] == 0) + second = next(at for at, e in enumerate(events) if e['kind'] == 'local_cover_sweep' + and e['replica'] == replica and e['stage'] == 1) + pair0 = set(range(896*replica, 896*replica+224)) + windows = {} + for name, low, high in [('before_F0', 0, first), ('F0_to_B1', first+1, second)]: + helper = active = idle = bridge = 0 + for at in range(low, high): + e = events[at] + if e['kind'] == 'local_cover_sweep': + owners = calls[e['time']]['owners'] + helper += len(pair0 & {f for f, _ in owners[224:]}) + active += len(pair0 & {f for f, _ in owners[:224]}) + if e.get('replica') == replica: + idle += int(e['kind'] == 'idle_cover_sweep' and e['pair'] == 0) + bridge += int(e['kind'] == 'bridge' and (e['dst'] == 0 or e['src'] == 0)) + need(helper == active == idle == bridge == 0, 'Early pair0 owner separation') + windows[name] = {'helper_uses': helper, 'active_uses': active, + 'idle_events': idle, 'bridge_events': bridge} + answer.append({'replica': replica, 'F0_event': first, 'B1_event': second, 'windows': windows}) + return answer + + +def consumer_replay(data, jobs, suffixes, ports, mutation=None): + phases, template = data['phases']['recipes'], data['template'] + frames = [canonical(phases[f % 112]['q'], -1, f//112 % 2) for f in range(14336)] + extra, protected = set(), {} + bridge_number, counts = Counter(), Counter() + intervals, live, peak = [], {}, 0 + ports = set(ports) + return_ports = set(range(112)) - ports + if mutation == 'missing_return': + return_ports.remove(min(return_ports)) + + def update(f, phase): + frames[f] = phase_sum(frames[f], phase) + if f in protected: + origin, old = protected[f] + protected[f] = origin, phase_sum(old, phase) + + def check_pair(replica, pair, level): + for side in range(2): + for port in range(112): + f = family(replica, pair, side, port) + want = canonical(phases[port]['q'], level, side) + if f in extra: + want = phase_sum(want, polynomial(((phases[port]['q'], 1),))) + need(frames[f] == want, 'Complete native phase') + + for at, e in enumerate(template['execution_schedule']): + kind, replica = e['kind'], e.get('replica') + if kind == 'local_cover_sweep': + call = template['calls'][e['time']] + stage, pair = call['stage'], call['pair'] + need(call['replica'] == replica and stage == e['stage'], 'Actual call identity') + owners = call['owners'] + need(len(owners) == len({owner[0] for owner in owners}) == 704, 'No owner alias') + check_pair(replica, pair, stage - 1) + for side in range(2): + for port in range(112): + f = family(replica, pair, side, port) + need(owners[side*112+port] == [f, [1, stage, port]], 'Ordered active owner') + need(f not in extra and f not in protected, 'Active call reads a changed type or protected value') + frames[f] = canonical(phases[port]['q'], stage, side) + for f, phase in jobs[e['time']]: + counts['helper_jobs_on_extra_line_fields'] += int(f in extra) + counts['helper_jobs_on_protected_fields'] += int(f in protected) + update(f, phase) + if stage == 0: + slot = min(set(range(16)) - {value[1] for value in live.values()}) + live[replica] = at, slot + peak = max(peak, len(live)) + if stage == 1: + need(pair == 0, 'Repair pair') + start, slot = live.pop(replica) + intervals.append([replica, slot, start, at]) + for port in range(112): + f = family(replica, 0, 1, port) + update(f, polynomial(((phases[port]['q'], 1),))) + if port in return_ports: + update(f, polynomial(((phases[port]['q'], -1),))) + else: + extra.add(f) + if port in ports: + for side in range(2): + f = family(replica, 0, side, port) + raw_phase = polynomial(tuple((v, 1) for v in I[:17]) + + (((phases[port]['q'], -1),) if side == 0 else ())) + protected[f] = f, raw_phase + counts['active_owner_sets'] += 1 + elif kind == 'idle_cover_sweep': + for f, phase in suffixes[at]: + update(f, phase) + for side, child in enumerate(e['child_indices']): + for port in range(112): + f = family(replica, e['pair'], side, port) + update(f, polynomial(((phases[port]['idle_children'][child]['translation_after'], 2),))) + check_pair(replica, e['pair'], e['to_level']) + counts['complete_idle_events'] += 1 + elif kind == 'bridge': + number = bridge_number[replica] + bridge_number[replica] += 1 + need((number < 6) == (e['source_event'] <= 18), 'First six literal source bridges') + counts['selected_bridge_instances'] += int(number < 6 and bool(ports)) + for side in range(2): + for port in range(112): + a, b = [family(replica, e[key], side, port) for key in ('dst', 'src')] + if port not in ports: + need(frames[a] == frames[b], 'Ordinary bridge phase') + need(a not in protected and b not in protected, 'Ordinary bridge uses protected data') + elif number < 6: + if mutation == 'missing_swap_' + str(number): + continue + frames[a], frames[b] = frames[b], frames[a] + ea, eb = a in extra, b in extra + extra.discard(a) + extra.discard(b) + if ea: + extra.add(b) + if eb: + extra.add(a) + pa, pb = protected.pop(a, None), protected.pop(b, None) + if pa: + protected[b] = pa + if pb: + protected[a] = pb + counts['bridges'] += 1 + elif kind == 'terminal_Y_translations': + for pair in e['pairs']: + check_pair(replica, pair, 8) + for port in set(range(112)) - ports: + update(family(replica, pair, 1, port), polynomial(((phases[port]['q'], 2),))) + elif kind == 'terminal': + for pair in range(e['pairs']): + for port in set(range(112)) - ports: + x, y = [family(replica, pair, side, port) for side in range(2)] + need(x not in protected and y not in protected, 'Terminal uses protected data') + frames[x], frames[y] = frames[y], frames[x] + elif kind == 'bank_padding_cover_sweep': + need(not template['bank_padding']['children'], 'Source bank padding') + else: + need(kind == 'translate_every_live_family' and at == 481, 'Final cover correction') + need(e['families'] == [0, 14336] and e['charged_calls_per_cover'] == 14336, + 'All-live correction extent') + # The final lines are immediately before this retained event. + for replica0 in range(16): + for port in ports: + x, y = [family(replica0, 0, side, port) for side in range(2)] + full = polynomial(tuple((v, 1) for v in I)) + need(protected[x] == (x, phase_sum(full, polynomial(((phases[port]['q'], -1),)))), + 'Raw X phase before correction') + need(protected[y] == (y, full), 'Raw Y phase before correction') + if mutation != 'missing_endpoint_line': + update(x, polynomial(((phases[port]['q'], 1),))) + need(protected[x] == (x, full), 'Final positive X correction') + counts['retained_cover_corrections'] += 1 + need(not live and peak == 4, 'Record allocation peak') + need(set(bridge_number.values()) == {9}, 'Nine bridges in every replica') + expected = {family(r, 0, side, p) for r in range(16) for side in range(2) for p in ports} + need(set(protected) == expected and {v[0] for v in protected.values()} == expected, + 'Protected output support and unique origins') + overlap = max(sum(start <= at < end for _, _, start, end in intervals) for at in range(482)) + need(overlap == peak, 'Independent interval overlap count') + counts.update(global_events=482, protected_outputs=len(expected), record_sets=peak, + whole_cover_records=16*peak, interval_overlap=overlap) + return {'counts': dict(counts), 'record_intervals': intervals} + + +def scalar_swap(): + a, b = (Q(1), Q(0)), (Q(0), Q(1)) + add = lambda x, y, c: tuple(u+c*v for u, v in zip(x, y)) + a = add(a, b, 1) + b = add(b, a, -1) + a = add(a, b, 1) + need((a, b) == ((0, 1), (-1, 0)), 'Swap prefixes before sign') + b = tuple(-v for v in b) + need((a, b) == ((0, 1), (1, 0)), 'Swap on arbitrary physical arrays') + return {'complex_adds': 3, 'sign_scales': 1, 'real_scalar_allowance': 26, + 'fractional_reserve': 0, 'component_bound': 'H_a+H_b'} + + +def consumer_word_and_invoice(data): + literal = json.loads((CONSUMER/'CONSUMER.word.json').read_text()) + need(literal['final_three_bridges_on_retired_ports'] == literal['terminal_on_retired_ports'] == [], + 'Literal omitted bridge and terminal word') + cases = {} + common = data['word']['capture_after_F0'] + data['word']['repair_after_B1'] + for name, ports in [('selected_16', SELECTED), ('whole_pair_112', tuple(range(112)))]: + patch = literal['variants'][name] + others = [p for p in range(112) if p not in ports] + returns = [dict(op='line', field='Y'+str(p), port=p, rank=1, sign=-1) for p in others] + endpoint = [dict(op='line', field='X'+str(p), port=p, rank=1, sign=1) for p in ports] + swaps = [] + for side in ('X', 'Y'): + for p in ports: + a, b = side+'_dst:'+str(p), side+'_src:'+str(p) + swaps += [dict(op='add', dst=a, src=b, c=1), dict(op='add', dst=b, src=a, c=-1), + dict(op='add', dst=a, src=b, c=1), dict(op='scale', field=b, c=-1)] + need(patch['retired_ports'] == list(ports) and patch['return_after_repair'] == returns + and patch['final_pair0_X_correction'] == endpoint + and patch['port_swap_each_first_six_bridge'] == swaps, 'Literal patch operations') + profile = Counter(e['rank'] for e in common+returns+endpoint if e['op'] in ('line', 'stage')) + need(profile == {1:224, 8:16}, 'Literal added native profile') + w = len(ports) + cases[name] = {'native_profile': dict(profile), 'native_mass': sum(r*n for r, n in profile.items()), + 'wrappers': 2*sum(profile.values()), 'two_boundary_bridge_allowance': 4*(112-w)*8+4*w*26, + 'all_nine_bridge_allowance': 18*(112-w)*8+12*w*26} + need(cases[name]['two_boundary_bridge_allowance'] == 3584+72*w + and cases[name]['all_nine_bridge_allowance'] == 16128+168*w, 'Bridge scalar formulas') + scalar = 0 + for e in common: + if e['op'] == 'clear': + scalar += 2 + elif e['op'] in ('add', 'scale'): + c = Q(e['c']) + a, b = abs(c.numerator), c.denominator + need(a > 0 and b & (b-1) == 0, 'Scalar coefficient') + if e['op'] == 'add': + scalar += 2*(2+a.bit_length()+a.bit_count()+b.bit_length()-1) + else: + need(a & (a-1) == 0, 'Scale numerator') + scalar += 2*(abs(a.bit_length()-b.bit_length())+int(c < 0)) + need(scalar == 16338 and sum(e['op'] == 'map' for e in common) == 208, 'Repair scalar and map invoice') + return {'cases': cases, 'added_scalar_allowance': scalar, 'added_cover_maps': 208, + 'all_subset_native_profile': {'1':224, '8':16}, + 'all_subset_mass_identity': '240+(112-w)+w=352'} + + +def precision_replay(data, return_ports, wrong_owner_order=False): + word, native = data['word'], data['native'] + old, full = tuple((v, 1) for v in I[:9]), tuple((v, 1) for v in I[:17]) + source_frames = {'E'+str(p): old for p in SELECTED} + source_frames.update({'X'+str(p): full for p in range(112)}) + source_frames.update({'Y'+str(p): full+((native['line_'+str(p)]['label'], -1),) for p in range(112)}) + rows, frames = {}, {} + for p in SELECTED: + f = 'X'+str(p) + rows[f] = {('E'+str(p), I): (Q(1), ())} + frames[f] = old + for f in ['R'+str(p) for p in SELECTED] + ['C']: + rows[f] = {('dirt:'+f, I): (Q(1), ())} + source_frames['dirt:'+f] = () + frames[f] = () + events = word['capture_after_F0'] + [{'op':'boundary'}] + word['repair_after_B1'] + events += [dict(op='line', field='Y'+str(p), port=p, sign=-1, rank=1) for p in return_ports] + history, debt_max, weight_max = [], {}, Counter() + terms_count = factorization_checks = 0 + physical_operators = set() + private = False + + def append_phase(row, delta): + return {key: (c, phase_word(phase+delta)) for key, (c, phase) in row.items()} + + for at, e in enumerate(events): + op, touched = e['op'], [] + if op == 'boundary': + for side in ('X', 'Y'): + for p in range(112): + f = side+str(p) + rows[f] = {(f, I): (Q(1), ())} + frames[f] = source_frames[f] + touched.append(f) + elif op == 'clear': + f = e['field'] + need(f.startswith('R') or f == 'C', 'Owned CLEAR') + rows[f] = {} + frames[f] = {'identity': (), 'old': old, 'current': full}[e['frame']] + touched = [f] + elif op == 'add': + dst, src = e['dst'], e['src'] + need(polynomial(phase_word(frames[dst])) == polynomial(phase_word(frames[src])), 'ADD phase') + result = dict(rows[dst]) + for key, (coefficient, phase) in rows[src].items(): + coefficient *= Q(e['c']) + if key in result: + a, other = result[key] + need(polynomial(other) == polynomial(phase), 'Equal physical source phase') + coefficient += a + if coefficient: + result[key] = coefficient, phase + else: + result.pop(key, None) + rows[dst] = result + touched = [dst] + elif op == 'scale': + f = e['field'] + rows[f] = {key: (c*Q(e['c']), phase) for key, (c, phase) in rows[f].items() if c*Q(e['c'])} + touched = [f] + elif op in ('line', 'stage'): + f = e['field'] + if op == 'line': + need(e['rank'] == 1, 'Physical line rank') + delta = ((native['line_'+str(e['port'])]['label'], e['sign']),) + else: + need(e['rank'] == 8 and e['stage'] == e['sign'] == 1, 'Record lift') + delta = tuple((v, 1) for v in I[9:17]) + rows[f] = append_phase(rows[f], delta) + frames[f] = phase_word(frames[f]+delta) + touched = [f] + elif op == 'map': + f, g, shift = e['field'], tuple(e['g']), e['shift'] + need(len(g) == 73 and compose(g, g) == I, 'Full owner involution') + moved = {} + for (source, owner), (c, phase) in rows[f].items(): + matrix = compose(owner, g) if wrong_owner_order else compose(g, owner) + need((source, matrix) not in moved, 'Bijective source owner map') + moved[source, matrix] = c, transport(g, phase, shift) + rows[f] = moved + frames[f] = transport(g, frames[f], shift) + touched = [f] + elif op == 'private_begin': + need(not private, 'Private begin') + private = True + else: + need(op == 'private_end' and private and not rows['C'], 'Private end') + private = False + for f in touched: + weights, bound_debt = Counter(), 0 + for (source, owner), (c, physical_phase) in rows[f].items(): + need(c.denominator & (c.denominator-1) == 0, 'Dyadic coefficient') + expected = phase_word(frames[f] + tuple((act(owner, v), -a) for v, a in source_frames[source])) + need(polynomial(physical_phase) == polynomial(expected), 'Physical phase and right-owner factorization') + factorization_checks += 1 + rank = phase_rank(physical_phase) + d = c.denominator.bit_length() - (abs(c.numerator) & -abs(c.numerator)).bit_length() + weights[rank] += abs(c) + debt_max[rank] = max(debt_max.get(rank, -1000), d) + bound_debt = max(bound_debt, d+(rank+1)//2) + terms_count += 1 + physical_operators.add((source, owner, polynomial(physical_phase))) + for rank, value in weights.items(): + weight_max[rank] = max(weight_max[rank], value) + gain = sum(value*(1 << ((rank+1)//2)) for rank, value in weights.items()) + history.append([at, f, bound_debt, str(gain), [[r, str(w)] for r, w in sorted(weights.items())]]) + need(not private and all(not rows['R'+str(p)] for p in SELECTED) and not rows['C'], 'Owned outputs zero') + for p in set(range(112)) - set(SELECTED): + wanted = ((native['line_'+str(p)]['label'], -1),) if p in return_ports else () + need(rows['Y'+str(p)] == {('X'+str(p), I): (Q(-1), phase_word(wanted))}, 'Ordinary Y physical row') + if not set(return_ports) & set(SELECTED): + need(debt_max == {0:1, 1:1, 8:2}, 'All-layer debt census') + need(weight_max == {0:Q(136), 1:Q(136), 8:Q(412)}, 'All-layer weight census') + need(max(row[2] for row in history) > 5 and max(Q(row[3]) for row in history) > 4096, + 'Reduced term-grid and triangle certificates') + return {'events': len(events), 'changed_field_boundaries': len(history), 'term_checks': terms_count, + 'factorization_checks': factorization_checks, 'distinct_physical_operators': len(physical_operators), + 'distinct_phase_polynomials': len({item[2] for item in physical_operators}), + 'distinct_owner_and_phase_operators': len({(item[1], item[2]) for item in physical_operators}), + 'scalar_denominator_debt_by_phase_rank': {str(r): d for r, d in sorted(debt_max.items())}, + 'coefficient_weight_envelope_by_phase_rank': {str(r): str(w) for r, w in sorted(weight_max.items())}, + 'prefix_table_sha256': hashbytes(encoded(history)), + 'one_layer_gain_witness': max(history, key=lambda row: Q(row[3])), + 'source_model': 'Independent raw physical arrays; no source frame is used to update a term.'} + + +def endpoint_recipes(data): + labels = [] + registry = data['source']['map_registry'] + for p in range(112): + recipe = data['native']['line_'+str(p)] + left, right, q = tuple(recipe['left_columns']), tuple(recipe['right_columns']), recipe['label'] + need(compose(left, right) == I and compose(right, left) == I, 'Native wrapper inverse') + need(left[0] == q and recipe['positive_left_translation'] == 0, 'Positive C_q recipe') + need(q == data['phases']['recipes'][p]['q'], 'Native line uses the actual port') + event = next(e for e in data['source']['programs']['F_2'] if e[0] == 'cover_map' and e[1] == ['L', p]) + route = tuple(registry[event[2]]['owner_right_matrix_columns']) + need(act(route, q) == q, 'Actual F2 route fixes q') + need(polynomial(((q, 1), (q, -1))) == (0, 0, 0), 'Positive line cancels the raw X inverse') + labels.append(q) + return {'positive_line_recipes': len(labels), 'F2_fixed_normals': labels} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, default=HERE/'INDEPENDENT.json') + args = parser.parse_args() + need(args.out.resolve().parent == HERE, 'Review output directory') + need(shutil.disk_usage(HERE).free >= 3*1024**3, 'Three GiB free') + data = source_data() + jobs, suffixes, partition = prepare_jobs(data) + published_consumer = json.loads((CONSUMER/'CONSUMER.json').read_text()) + consumers = {} + for name, ports in [('selected_16', SELECTED), ('whole_pair_112', tuple(range(112))), ('empty_set', ())]: + result = consumer_replay(data, jobs, suffixes, ports) + if name in published_consumer['checks']: + expected = published_consumer['checks'][name] + need(result['record_intervals'] == expected['owned_record_intervals'], 'Published record intervals') + need(result['counts']['helper_jobs_on_extra_line_fields'] == expected['old_helper_jobs_on_extra_line_fields'], + 'Published helper count') + consumers[name] = result + controls = {} + for mutation in ('missing_return', 'missing_swap_0', 'missing_swap_1', 'missing_endpoint_line'): + try: + consumer_replay(data, jobs, suffixes, SELECTED, mutation) + except ValueError as error: + controls[mutation] = str(error) + else: + raise ValueError('Consumer control accepted: ' + mutation) + precision = {} + published_precision = json.loads((PRECISION/'PRECISION.json').read_text()) + for name, ports in [('common_F', ()), ('selected_16_return', tuple(p for p in range(112) if p not in SELECTED)), + ('old_mixed_return', tuple(range(112)))]: + result = precision_replay(data, ports) + expected = published_precision['cases'][name] + for key in ('events', 'changed_field_boundaries', 'term_checks', 'scalar_denominator_debt_by_phase_rank', + 'coefficient_weight_envelope_by_phase_rank', 'prefix_table_sha256', 'one_layer_gain_witness'): + need(result[key] == expected[key], 'Independent physical census: '+name+'/'+key) + precision[name] = result + try: + precision_replay(data, (), True) + except ValueError as error: + controls['reversed_owner_composition'] = str(error) + else: + raise ValueError('Reversed owner composition control accepted') + invoice = consumer_word_and_invoice(data) + result = {'status': 'PASS_INDEPENDENT_COMMON_F_CONSUMER_AND_PRECISION_REVIEW', + 'producer_or_upstream_module_imported': False, 'source_pins': PINS, + 'consumer': consumers, 'complete_helper_partition': partition, + 'early_pair0_owner_separation': early_owner_separation(data), + 'native_endpoint_recipes': endpoint_recipes(data), 'added_invoice': invoice, + 'physical_swap': scalar_swap(), 'precision': precision, + 'phase_kernel': phase_kernel_check(), 'negative_controls': controls, + 'findings': [{'severity': 'nonmaterial census label', + 'location': 'PRECISION.md: Phase bound and actual census; PRECISION.json: distinct_relative_phase_operators', + 'observation': 'The value 4804 counts cache keys (frame tuple, source label, owner matrix). It is not the number of distinct phase operators. The canonical physical census has at most 856 source-owner-phase terms.', + 'effect': 'No change to any prefix bound or acceptance of the conditional precision theorem.', + 'suggested_wording': '4804 distinct relative-phase cache keys'}], + 'inherited_contracts': ['Exact local common-F recovery on arbitrary inputs', + 'QQ16 whole helper outputs and active/helper zero cross-dependence', + 'Fixed-owner native helper endpoint and all-cover final correction'], + 'omitted': ['Full upstream suite', 'Old child kernel suite', 'Physical entry guarantees from F0 and B1', + 'Approximate children', 'Scalar primitive interiors', 'Child internal precision', + 'New record and child hosting', 'Global controller precision', 'Other output target map', + 'Complete supplier or kappa claim']} + need(shutil.disk_usage(HERE).free >= 3*1024**3, 'Three GiB free at completion') + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + print(json.dumps({'status': result['status'], 'sha256': hashbytes(args.out.read_bytes()), + 'consumer_counts': {name: value['counts'] for name, value in consumers.items()}, + 'precision_prefix_hashes': {name: value['prefix_table_sha256'] for name, value in precision.items()}})) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER-MANIFEST.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER-MANIFEST.json new file mode 100644 index 0000000000..8f1fd038d3 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER-MANIFEST.json @@ -0,0 +1,11 @@ +{ + "files": { + "CONSUMER.json": "462190aff6124349e5374397db858dcaacad256b202d785da9bd9ba834c8c55e", + "CONSUMER.md": "f27f727346147c140bb3f676da7b2af0d9d94add26b86cbc2673dbadbd9d0447", + "CONSUMER.word.json": "dcab2956719da84a4284f03bbc02ea02d121998582261b0a3fde50dc56e5f13a", + "check_consumer.py": "f09fb9783d1c43b35ea28dc49ace716d42bb4697845f0098c7bb786e353299aa" + }, + "frozen_local_component_review": "8e8e444d8d36cfe24b7f40d61ff07ab48542fbab07a72bf323f44b8d4b0661c1", + "schema": "common-f-consumer-manifest-v1", + "status": "producer checks pass; independent consumer review pending" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER.json new file mode 100644 index 0000000000..066424d6b4 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER.json @@ -0,0 +1,451 @@ +{ + "F2_fixed_normals": [ + 11, + 19, + 35, + 67, + 131, + 259, + 13, + 21, + 37, + 69, + 133, + 261, + 41, + 73, + 137, + 265, + 49, + 81, + 145, + 273, + 161, + 289, + 193, + 321, + 385, + 14, + 22, + 38, + 70, + 134, + 262, + 26, + 74, + 138, + 266, + 50, + 146, + 274, + 98, + 162, + 290, + 194, + 322, + 386, + 28, + 44, + 140, + 268, + 84, + 148, + 276, + 100, + 164, + 292, + 196, + 324, + 388, + 56, + 88, + 152, + 280, + 104, + 168, + 296, + 200, + 328, + 392, + 112, + 176, + 304, + 208, + 336, + 400, + 224, + 352, + 416, + 448, + 508, + 506, + 502, + 494, + 478, + 446, + 382, + 254, + 505, + 501, + 493, + 477, + 445, + 381, + 253, + 499, + 491, + 475, + 443, + 379, + 251, + 487, + 471, + 439, + 375, + 247, + 463, + 431, + 367, + 239, + 415, + 351, + 223, + 319, + 191 + ], + "checks": { + "selected_16": { + "calls_sha256": "c677310ca14b0deeaeaf06fa9bdeb17098a28595ccaaff74c4ccb35107c4ccba", + "global_events": 482, + "helper_job_rows_sha256": "b45740f7e7683c02b3116e4a43e6d85342c6d03ace5915e8c8af526649ec8124", + "local_calls": 144, + "no_later_active_call_reads_the_protected_values": true, + "old_helper_jobs_on_extra_line_fields": 894, + "owned_record_intervals": [ + [ + 0, + 0, + 0, + 4 + ], + [ + 8, + 1, + 1, + 7 + ], + [ + 1, + 2, + 2, + 12 + ], + [ + 9, + 3, + 3, + 15 + ], + [ + 2, + 0, + 10, + 26 + ], + [ + 10, + 1, + 11, + 29 + ], + [ + 3, + 2, + 24, + 46 + ], + [ + 11, + 3, + 25, + 49 + ], + [ + 4, + 0, + 44, + 72 + ], + [ + 12, + 1, + 45, + 75 + ], + [ + 5, + 2, + 70, + 104 + ], + [ + 13, + 3, + 71, + 107 + ], + [ + 6, + 0, + 102, + 142 + ], + [ + 14, + 1, + 103, + 145 + ], + [ + 7, + 2, + 134, + 178 + ], + [ + 15, + 3, + 135, + 181 + ] + ], + "peak_owned_record_sets": 4, + "peak_owned_whole_cover_records": 64, + "protected_raw_outputs": 512, + "repair_event_positions": [ + 4, + 7, + 12, + 15, + 26, + 29, + 46, + 49, + 72, + 75, + 104, + 107, + 142, + 145, + 178, + 181 + ], + "selected_bridge_instances": 96 + }, + "whole_pair_112": { + "calls_sha256": "c677310ca14b0deeaeaf06fa9bdeb17098a28595ccaaff74c4ccb35107c4ccba", + "global_events": 482, + "helper_job_rows_sha256": "fb85b2d3d9658b401f6b8b4c6a60c3022804c5f5ee77e7bf77d6a014a32c202a", + "local_calls": 144, + "no_later_active_call_reads_the_protected_values": true, + "old_helper_jobs_on_extra_line_fields": 6016, + "owned_record_intervals": [ + [ + 0, + 0, + 0, + 4 + ], + [ + 8, + 1, + 1, + 7 + ], + [ + 1, + 2, + 2, + 12 + ], + [ + 9, + 3, + 3, + 15 + ], + [ + 2, + 0, + 10, + 26 + ], + [ + 10, + 1, + 11, + 29 + ], + [ + 3, + 2, + 24, + 46 + ], + [ + 11, + 3, + 25, + 49 + ], + [ + 4, + 0, + 44, + 72 + ], + [ + 12, + 1, + 45, + 75 + ], + [ + 5, + 2, + 70, + 104 + ], + [ + 13, + 3, + 71, + 107 + ], + [ + 6, + 0, + 102, + 142 + ], + [ + 14, + 1, + 103, + 145 + ], + [ + 7, + 2, + 134, + 178 + ], + [ + 15, + 3, + 135, + 181 + ] + ], + "peak_owned_record_sets": 4, + "peak_owned_whole_cover_records": 64, + "protected_raw_outputs": 3584, + "repair_event_positions": [ + 4, + 7, + 12, + 15, + 26, + 29, + 46, + 49, + 72, + 75, + 104, + 107, + 142, + 145, + 178, + 181 + ], + "selected_bridge_instances": 96 + } + }, + "comparison_old_interface_then_endpoint": { + "selected_16": { + "new_interface_mass": 352, + "new_interface_wrappers": 480, + "old_interface_mass": 384, + "old_interface_wrappers": 544, + "saved_redundant_rank_one_calls": 32 + }, + "whole_pair_112": { + "new_interface_mass": 352, + "new_interface_wrappers": 480, + "old_interface_mass": 576, + "old_interface_wrappers": 928, + "saved_redundant_rank_one_calls": 224 + } + }, + "negative_controls": { + "missing_U_return": "Ordinary Y bridge phase equality", + "missing_final_X_line": "Raw X endpoint still has C_q^-1", + "missing_first_selected_swap": "Active data has its original native type", + "missing_second_selected_swap": "Active data has its original native type", + "missing_swap_sign": "Physical swap restores both arbitrary arrays" + }, + "open": [ + "The data outputs outside the chosen pair0 port subset", + "New record storage and recursive child hosting", + "Stream access and finite precision", + "Complete supplier invoice" + ], + "per_replica_added_cover_maps": 208, + "per_replica_added_native_mass": 352, + "per_replica_added_native_profile": { + "1": 224, + "8": 16 + }, + "per_replica_added_native_wrappers": 480, + "per_replica_added_scalar_allowance": 16338, + "per_replica_all_nine_bridges": { + "selected_16": { + "new_native_children": 0, + "ordinary_complex_ADDs": 1728, + "physical_SWAPS": 192, + "real_scalar_allowance": 18816 + }, + "whole_pair_112": { + "new_native_children": 0, + "ordinary_complex_ADDs": 0, + "physical_SWAPS": 1344, + "real_scalar_allowance": 34944 + } + }, + "per_replica_two_boundary_bridges": { + "selected_16": { + "new_native_children": 0, + "ordinary_complex_ADDs": 384, + "physical_SWAPS": 64, + "real_scalar_allowance": 4736 + }, + "whole_pair_112": { + "new_native_children": 0, + "ordinary_complex_ADDs": 0, + "physical_SWAPS": 448, + "real_scalar_allowance": 11648 + } + }, + "scope": "The altered first pair has an exact typed continuation through all old data events; only the chosen pair0 raw outputs have the full completed transform.", + "source_pins": { + "archive": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", + "common_F_word": "c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e", + "local_QQ16_whole_word_review": "e9e9287a4a4d1be3c802899a42f70ff5dd5efd1e144a48bd585386fe234832e5", + "original_helper_phase_review": "8b8c4d814b44c2fc42cf9ad995f8451512309fcfc46bea9317ebe4b4d79e8a4d", + "selected_bridge_proof": "e18594af767a26b0202e857d45202f5f563db2a190b81a7ade8fd62fcef850b9", + "template_member": "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760" + }, + "status": "PASS_PORT_RETIREMENT_TYPED_CONSUMER", + "whole_controller_content_proved": false, + "word_sha256": "dcab2956719da84a4284f03bbc02ea02d121998582261b0a3fde50dc56e5f13a" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER.md new file mode 100644 index 0000000000..b2f49fb1aa --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER.md @@ -0,0 +1,208 @@ +# A typed consumer for the common-frame QQ16 repair + +The mass-240 common-frame repair has a legal consumer in the actual +482-event owner schedule. For any chosen set W of ports, two physical +bank swaps put the recovered pair-0 values on W outside all later active +calls. Complete old helper jobs can still use these fields. They preserve +each recovered value and its extra line code. A final correction gives +the full completed transform of the original raw inputs on these fields. + +The added native profile per replica is always + + {1:224, 8:16}, rank mass 352, 480 native wrappers. + +This profile includes the common-frame repair, the partial Y return, and +the final X correction. It does not include the retained source calls. +The checker binds two cases to all 482 source events: W=A union T, with +16 ports, and W=all 112 ports. The second case retires a full 224-field +data pair. It changes the ordinary bridge interface as well as the +selected bridge interface. + +This is a partial output construction. The other three pairs, and the +unselected pair-0 outputs when W is smaller, do not have a proved target +map. The new records and children do not have a complete owner or +precision invoice. There is no complete supplier or kappa claim. + +## Input and source contracts + +Use the exact QQ16 source and the independently checked common-frame +repair. At an owner g, put Q_p=C_(g q_p). The initial virtual types are +X:Q and Y:I. If the raw physical inputs before F0 are (a,b), their logical +values are (Q^-1 a,b). The common-frame repair after F0 and B1 gives + + X=F_U1 Q^-1 a, Y=F_U1 b. + +All 224 data columns and all 480 arbitrary helper columns are covered by +the source contract. The sixteen early records are owned; they may have +arbitrary values before capture and end at zero. The local owned scratch +also ends at zero. The common-frame proof and independent review remain +unchanged. + +The actual source has four bank pairs per replica and sixteen replicas. +At a completed level s, its original types are + + X:F_U_s, Y:F_U_s Q^-1. + +Each complete helper output is its assigned native operator on its own +arbitrary input. It has zero dependence on active data and other helpers. +Active data outputs have zero dependence on the helper input. The full +QQ16 native review supplies this content premise. The original complex +phase and owner review supplies the fixed-owner endpoint operator. +Neither premise is asserted at a partial helper cut. + +## The physical swap + +For arbitrary physical arrays a and b, use the ordered scalar word + + a += b; b -= a; a += b; b = -b. + +The result is (b_old,a_old). This identity does not require a and b to +have the same native type. The intermediate arrays need not have one +logical frame. All four operations are complete pointwise cover sweeps, +with no helper event inside this block. The cost is three complex ADDs +and one sign SCALE, or 26 real primitives in the retained scalar invoice. + +This is the needed distinction from an unchanged ordinary bridge. If +the source Y has type F_U1 and the destination Y has type F_U1 Q^-1, +the unchanged subtraction has an extra Q on the source logical value. +It does not give the old bridge. The physical swap exchanges both values +and both types exactly. + +## Ordered continuation + +Fix a nonempty W contained in the 112 ports. Make these changes in each +replica. All source cover sweeps and all old helper jobs remain in order. + +1. Capture the sixteen QQ16 records after F0. Apply the common-frame + repair after B1. +2. Apply inverse C_q to Y only on the complement of W. These ports have + the original mixed endpoint. The ports in W retain common F_U1. +3. On W, make each of the first six bridges a physical swap on both X + and Y. Off W, retain the ordinary bridge. Omit the last three bridges, + the terminal Y translation, and the signed terminal exchange on W. +4. After the complete old native tail, apply positive C_q to X on W in + pair 0. Do this before the last common cover translation. + +The first two swaps are the only swaps that carry the protected values. +For replica 0, B1 is event 4, the initial pair-1 idle is event 5, and the +first bridge is event 6. The first swap sends the recovered pair-0 W +values into pair 1. Pair 0 receives the original mixed types from pair 1. +Thus F2 at event 18 has its required entrance on every port. The old +pair-1 idle at event 19 advances the protected values to level 2. The +second swap at event 20 returns them to pair 0. Pair 1 receives the F2 +output with the original types required by B3. + +Pair 0 has no later active call. The remaining four early swaps use +other pairs. The omitted final bridges and terminal leave its W values +in place. The same sequence holds at the actual event positions in all +sixteen replicas. The checker uses the literal call owner lists; it does +not infer access from pair names alone. + +## Complete helper jobs and the final phase + +At a fixed owner g, an unchanged helper job has an endpoint equal to a +product of intrinsic C_(g v) factors and its recorded translation. These +are convolution operators and commute with C_(g q_p). A temporary gather +inside the helper call returns to the same owner. Its complete endpoint +identity is therefore sufficient; commuting an internal gather is not +required. + +Suppose a protected input has the extra factor C_(g q_p) relative to the +original Y type. A whole helper job preserves that factor. It also keeps +the protected input separate from active data, by the two-sided arbitrary +helper contract above. Same-port swaps keep q_p unchanged. Complete old +idles have the same commutation property. The checker finds 894 such +helper jobs for W=A union T and 6,016 for W=all ports. None is replaced or +given a new owner. + +At the end of the old tail, before the final common cover translation, +the protected pair-0 values are + + X_W=F_73 Q_W^-1 a_W, Y_W=F_73 b_W. + +The positive X lines give (F_73 a_W,F_73 b_W). The exact Gaussian identity +C_q C_q^-1=I is checked. No negative Y line is then needed on W. The +initial virtual X factor is paid for, rather than treated as identity. + +The protected raw inputs occur in no other data output. Immediately +after repair, all pair-0 logical data are their independent original +values. The first swap removes the chosen values before F2. Later active +calls do not read them, ordinary bridges operate only off W, and complete +helper jobs have zero cross-dependence. Thus the data map splits as the +proved completed transform on these fields and a separate map on all +other input fields. This statement does not identify that other map. + +## Costs and lifetimes + +Write w=|W|. The native count is + + 240 + (112-w) + w = 352. + +The partial return and final correction partition the 112 ports. The +complete added profile is 224 rank-one children and 16 rank-eight +children. The added scalar allowance remains 16,338, and the repair has +208 complete cover maps. Native wrapper counts include the new return +and endpoint lines. Their physical stream cost is separate. + +The first two boundary bridges cost + + 4(112-w) complex ADDs + 4w physical swaps, + real allowance 3584+72w. + +All nine modified bridges together cost + + 18(112-w) complex ADDs + 12w physical swaps, + real allowance 16128+168w. + +These are the full bridge costs, not an increment over the old bridge +bill. They exclude the retained terminal off W, old idles, source local +calls, the final common translation, and their costs. + +| W | Added native mass | Two boundary bridges | All nine bridges | +| --- | ---: | ---: | ---: | +| A union T, 16 ports | 352 | 4736 | 18816 | +| All 112 ports | 352 | 11648 | 34944 | + +Returning all Y lines first, then correcting both parked X and Y at the +endpoint, would cost 352+2w native mass and 480+4w wrappers. The present +typed consumer removes those 2w redundant rank-one calls. This is a +comparison of these two specified interfaces, not a lower bound. + +The literal global order has four F0 captures before its first B1 repair. +An exact interval allocation needs four sets of sixteen whole-cover +records, or 64 record fields at the peak. The receipt gives each interval +and its reused slot. The producer's one local scratch role is separate. +These are owned roles; this note does not host them in old arbitrary +productive fields or add productive credit. The source calls have no +permission to borrow these new records. All new child hosting, record +storage, access and precision costs remain explicit open obligations. + +## Reproduction and controls + +Run from the workspace with Python 3 and the pinned archive and lane +files. The command uses one CPU and writes only the named output files. + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/check_consumer.py --repo /Users/aliromman/Projects/IntegerMultiplicationBounds --lanes /Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes --out /private/tmp/common-f-consumer.json +``` + +The expected status is `PASS_PORT_RETIREMENT_TYPED_CONSUMER`. The checker +emits a literal patch word and receipt. It checks all 144 active owner +sets, all 482 old events, all 96 early bridge instances, the complete +protected-field trace, record lifetimes, F2 route normals, and exact +physical swap and endpoint identities. Controls remove a required Y +return, either of the first two swaps, the swap sign, or a final X line. +Each control fails at its stated obligation. + +The checker does not re-run the inherited QQ16 native kernels or prove +the other output map. It does not turn the patch into a complete admitted +supplier. The source hashes and exact inherited review hashes are in the +receipt. `CONSUMER-MANIFEST.json` binds this proof, checker and outputs. +The parent research coordinator must obtain an independent review before +treating this consumer as accepted. + +The common-frame repair comes from the paired-package-review lane. The +selected bridge word comes from the encoded-controller lane. The actual +owner schedule and complete-helper argument come from the selected +source evidence and the source-domain lane. This proof and checker were +developed with substantial AI assistance. No source artifact was changed. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER.word.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER.word.json new file mode 100644 index 0000000000..aa7a5d34f8 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/CONSUMER.word.json @@ -0,0 +1 @@ +{"bridges_and_terminal_off_retired_ports":"Retain the exact source schedule.","common_F_word_sha256":"c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e","final_three_bridges_on_retired_ports":[],"placement":"One repair after F0/B1 in each replica; final X correction before the last common cover 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diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/check_consumer.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/check_consumer.py new file mode 100644 index 0000000000..67229aeffd --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-review-20261015/check_consumer.py @@ -0,0 +1,318 @@ +"""Check port retirement after the common-F repair. + +This binds native types and the parked original values to the actual +schedule. It does not assert an identity on the other data outputs. +""" + +import argparse +from collections import Counter +from fractions import Fraction +from hashlib import sha256 +import gzip +import json +from pathlib import Path +import tarfile + + +A = (0, 7, 20, 27, 36, 46, 57, 111) +T = (21, 37, 47, 76, 81, 87, 92, 110) +V = A + T +U = tuple(p for p in range(112) if p not in V) +ARCHIVE = 'f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6' +MEMBER = 'candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz' +MEMBER_SHA = '2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760' + + +def need(ok, text): + if not ok: + raise ValueError(text) + + +def pin(raw, expected): + need(sha256(raw).hexdigest() == expected, 'Source pin') + return raw + + +def field(replica, pair, side, port): + return 896 * replica + 224 * pair + 112 * side + port + + +def add(a, b, c=1): + row = dict(a) + for key, value in b.items(): + row[key] = row.get(key, 0) + c * value + if not row[key]: + del row[key] + return row + + +def swap_check(omit_sign=False): + # Independent symbols include the two different physical frame factors. + a0, b0 = {('a', 'F'): Fraction(1)}, {('b', 'FQ^-1'): Fraction(1)} + a = add(a0, b0) + b = add(b0, a, -1) + a = add(a, b) + b = b if omit_sign else {key: -value for key, value in b.items()} + need(a == b0 and b == a0, 'Physical swap restores both arbitrary arrays') + + +def trace(template, ports=V, mutation=None): + levels = {(r, b): -1 for r in range(16) for b in range(4)} + code = {} + protected = set() + jobs = [] + calls = [] + swaps = [] + local_source_events = [] + record_slots = {} + record_intervals = [] + peak_record_sets = 0 + other_ports = tuple(p for p in range(112) if p not in ports) + returned = set(other_ports) + if mutation == 'missing_U_return': + returned.remove(other_ports[0]) + for at, event in enumerate(template['execution_schedule']): + kind = event['kind'] + r = event.get('replica') + if kind == 'local_cover_sweep': + call = template['calls'][event['time']] + stage, pair = call['stage'], call['pair'] + need(stage == event['stage'] and call['replica'] == r, 'Actual call lookup') + need(stage == 0 or levels[r, pair] == stage - 1, 'Active completed prefix') + owners = call['owners'] + active = {x[0] for x in owners[:224]} + need(active == {field(r, pair, side, p) for side in range(2) for p in range(112)}, + 'Actual data owner set') + need(all(not code.get(f, 0) for f in active), 'Active data has its original native type') + if stage >= 2: + need(not (active & protected), 'A later call reads the retired selected data') + for local, owner in enumerate(owners[224:], 224): + f = owner[0] + if code.get(f, 0): + jobs.append([event['time'], local, f]) + levels[r, pair] = stage + calls.append([at, event['time'], r, pair, stage]) + if stage == 0: + used = {slot for slot, _ in record_slots.values()} + slot = next(k for k in range(16) if k not in used) + record_slots[r] = (slot, at) + peak_record_sets = max(peak_record_sets, len(record_slots)) + if stage == 1: + need(pair == 0, 'First-pair repair location') + slot, start = record_slots.pop(r) + record_intervals.append([r, slot, start, at]) + for p in range(112): + code[field(r, 0, 1, p)] = int(p not in returned) + protected.update(field(r, 0, side, p) for side in range(2) for p in ports) + local_source_events.append(at) + elif kind == 'idle_cover_sweep': + pair = event['pair'] + need(levels[r, pair] == event['from_level'], 'Actual idle input level') + levels[r, pair] = event['to_level'] + # The completed intrinsic block commutes with every extra C_q. + elif kind == 'bridge': + dst, src = event['dst'], event['src'] + need(levels[r, dst] == levels[r, src], 'Bridge completed prefixes agree') + for p in other_ports: + need(code.get(field(r, dst, 1, p), 0) == code.get(field(r, src, 1, p), 0), + 'Ordinary Y bridge phase equality') + if event['source_event'] <= 18: + skip = ((mutation == 'missing_first_selected_swap' and event['source_event'] == 3) + or (mutation == 'missing_second_selected_swap' and event['source_event'] == 6)) + if not skip: + for side in range(2): + for p in ports: + a, b = field(r, dst, side, p), field(r, src, side, p) + code[a], code[b] = code.get(b, 0), code.get(a, 0) + pa, pb = a in protected, b in protected + protected.discard(a) + protected.discard(b) + if pb: + protected.add(a) + if pa: + protected.add(b) + swaps.append([at, r, dst, src, event['source_event']]) + # The final three selected bridges are omitted by this interface. + elif kind in ('terminal_Y_translations', 'terminal'): + need(all(levels[r, b] == 8 for b in range(4)), 'All data have full completed prefix') + # The selected translations and signed exchanges are omitted. + else: + need(kind in ('bank_padding_cover_sweep', 'translate_every_live_family'), + 'Global event alphabet') + need(not record_slots, 'All early records are retired') + expected = {field(r, 0, side, p) for r in range(16) for side in range(2) for p in ports} + need(protected == expected, 'Original selected pair0 values return to their old owners') + need({f for f, e in code.items() if e} == + {field(r, 0, 1, p) for r in range(16) for p in ports}, 'Only parked Y has the extra line') + need(len(calls) == 144 and len(swaps) == 96, 'All call and selected bridge instances') + return {'global_events': len(template['execution_schedule']), 'local_calls': len(calls), + 'selected_bridge_instances': len(swaps), 'protected_raw_outputs': 32 * len(ports), + 'old_helper_jobs_on_extra_line_fields': len(jobs), + 'helper_job_rows_sha256': sha256(json.dumps(jobs, separators=(',', ':')).encode()).hexdigest(), + 'repair_event_positions': local_source_events, + 'owned_record_intervals': record_intervals, + 'peak_owned_record_sets': peak_record_sets, + 'peak_owned_whole_cover_records': 16 * peak_record_sets, + 'calls_sha256': sha256(json.dumps(calls, separators=(',', ':')).encode()).hexdigest(), + 'no_later_active_call_reads_the_protected_values': True} + + +def endpoint_check(omit=False): + def mul(a, b): + return a[0] * b[0] - a[1] * b[1], a[0] * b[1] + a[1] * b[0] + # On a translation orbit, raw X first has the virtual C_q^-1 factor. + inverse = ((1, -1), (1, 1)) + positive = ((1, 1), (1, -1)) + if omit: + need(inverse == ((2, 0), (0, 0)), 'Raw X endpoint still has C_q^-1') + else: + result = [] + for i in range(2): + terms = [mul(positive[i ^ j], inverse[j]) for j in range(2)] + result.append(tuple(sum(z[k] for z in terms) for k in range(2))) + need(result == [(4, 0), (0, 0)], 'Raw X endpoint exact Gaussian inverse') + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--repo', type=Path, required=True) + parser.add_argument('--lanes', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + archive = args.repo / 'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' + pin(archive.read_bytes(), ARCHIVE) + with tarfile.open(archive) as data: + template = json.loads(gzip.decompress(pin(data.extractfile(MEMBER).read(), MEMBER_SHA))) + source = args.lanes / 'paired-package-review/upstream-followthrough-20261015' + raw = pin((source / 'base/research/joint-query/certificate.json.gz').read_bytes(), + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7') + packet = json.loads(gzip.decompress(raw)) + proof_path = args.lanes / 'encoded-controller/QQ16-CONSERVED-CONTROLLER.md' + proof_raw = pin(proof_path.read_bytes(), + 'e18594af767a26b0202e857d45202f5f563db2a190b81a7ade8fd62fcef850b9') + need(b'each of the first six bridges swaps' in proof_raw and + b'final three selected bridges and selected' in proof_raw, 'Selected bridge source') + swap_check() + choices = {'selected_16': V, 'whole_pair_112': tuple(range(112))} + checks = {name: trace(template, ports) for name, ports in choices.items()} + controls = {} + for label in ('missing_U_return', 'missing_first_selected_swap', + 'missing_second_selected_swap'): + try: + trace(template, V, label) + except ValueError as error: + controls[label] = str(error) + else: + raise ValueError('Ineffective schedule control: ' + label) + try: + swap_check(True) + except ValueError as error: + controls['missing_swap_sign'] = str(error) + else: + raise ValueError('Ineffective swap sign control') + endpoint_check() + try: + endpoint_check(True) + except ValueError as error: + controls['missing_final_X_line'] = str(error) + else: + raise ValueError('Ineffective raw X endpoint control') + routes = packet['map_registry'] + native_raw = pin((source / 'common-frame-results/COMMON-F-NATIVE-RECIPES.json').read_bytes(), + '8b58ab9d9983d8b105387923464e8c7a5639b95b1efbe193aa83e9de18949e6e') + native = json.loads(native_raw) + fixed_normals = [] + for p in range(112): + recipe = native['line_' + str(p)] + q = recipe['label'] + event = next(e for e in packet['programs']['F_2'] if e[0] == 'cover_map' and e[1] == ['L', p]) + g = routes[event[2]]['owner_right_matrix_columns'] + gq = 0 + for j, column in enumerate(g): + if q >> j & 1: + gq ^= column + need(gq == q, 'F2 fixes the extra line') + fixed_normals.append(q) + inherited = args.lanes / 'interface-proof/ORIGINAL-COMPLEX-MODES-REVIEW.json' + inherited_raw = pin(inherited.read_bytes(), + '8b8c4d814b44c2fc42cf9ad995f8451512309fcfc46bea9317ebe4b4d79e8a4d') + content_raw = pin((source / 'common-frame-source/evidence/NATIVE-REVIEW.json').read_bytes(), + 'e9e9287a4a4d1be3c802899a42f70ff5dd5efd1e144a48bd585386fe234832e5') + common_raw = pin((source / 'common-frame-results/COMMON-F-RESTORATION-WORD.json').read_bytes(), + 'c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e') + common = json.loads(common_raw) + variants = {} + comparisons = {} + bridge_costs = {} + for name, ports in choices.items(): + others = tuple(p for p in range(112) if p not in ports) + return_word = [dict(op='line', field='Y' + str(p), port=p, sign=-1, rank=1) for p in others] + endpoint_word = [dict(op='line', field='X' + str(p), port=p, sign=1, rank=1) for p in ports] + added_events = common['capture_after_F0'] + common['repair_after_B1'] + return_word + endpoint_word + rank_profile = Counter(e['rank'] for e in added_events if e['op'] in ('line', 'stage')) + need(rank_profile == {1: 224, 8: 16}, 'Derived complete retirement profile') + selected_swap = [] + for side in ('X', 'Y'): + for p in ports: + a, b = side + '_dst:' + str(p), side + '_src:' + str(p) + selected_swap.extend([dict(op='add', dst=a, src=b, c=1), + dict(op='add', dst=b, src=a, c=-1), + dict(op='add', dst=a, src=b, c=1), + dict(op='scale', field=b, c=-1)]) + variants[name] = {'retired_ports': list(ports), 'return_after_repair': return_word, + 'port_swap_each_first_six_bridge': selected_swap, + 'final_pair0_X_correction': endpoint_word} + bridge_costs[name] = {'ordinary_complex_ADDs': 4 * len(others), + 'physical_SWAPS': 4 * len(ports), + 'real_scalar_allowance': 32 * len(others) + 104 * len(ports), + 'new_native_children': 0} + variants[name]['all_nine_bridge_invoice'] = { + 'ordinary_complex_ADDs': 18 * len(others), + 'physical_SWAPS': 12 * len(ports), + 'real_scalar_allowance': 144 * len(others) + 312 * len(ports), + 'new_native_children': 0} + comparisons[name] = {'old_interface_mass': 352 + 2 * len(ports), + 'old_interface_wrappers': 480 + 4 * len(ports), + 'new_interface_mass': 352, 'new_interface_wrappers': 480, + 'saved_redundant_rank_one_calls': 2 * len(ports)} + word = {'schema': 'common-f-port-retirement-consumer-v1', + 'source_schedule_member_sha256': MEMBER_SHA, + 'common_F_word_sha256': sha256(common_raw).hexdigest(), + 'variants': variants, + 'final_three_bridges_on_retired_ports': [], 'terminal_on_retired_ports': [], + 'bridges_and_terminal_off_retired_ports': 'Retain the exact source schedule.', + 'placement': 'One repair after F0/B1 in each replica; final X correction before the last common cover translation.', + 'scope': 'Typed consumer and pair0 chosen-port retirement; other output content remains open.'} + word_raw = json.dumps(word, sort_keys=True, separators=(',', ':')).encode() + b'\n' + result = {'status': 'PASS_PORT_RETIREMENT_TYPED_CONSUMER', 'checks': checks, + 'source_pins': {'archive': ARCHIVE, 'template_member': MEMBER_SHA, + 'selected_bridge_proof': sha256(proof_raw).hexdigest(), + 'original_helper_phase_review': sha256(inherited_raw).hexdigest(), + 'local_QQ16_whole_word_review': sha256(content_raw).hexdigest(), + 'common_F_word': 'c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e'}, + 'negative_controls': controls, 'F2_fixed_normals': fixed_normals, + 'word_sha256': sha256(word_raw).hexdigest(), + 'per_replica_added_native_profile': dict(sorted(rank_profile.items())), + 'per_replica_added_native_mass': 352, + 'per_replica_added_native_wrappers': 480, + 'per_replica_added_scalar_allowance': 16338, + 'per_replica_added_cover_maps': 208, + 'per_replica_two_boundary_bridges': bridge_costs, + 'per_replica_all_nine_bridges': {name: value['all_nine_bridge_invoice'] + for name, value in variants.items()}, + 'comparison_old_interface_then_endpoint': comparisons, + 'whole_controller_content_proved': False, + 'open': ['The data outputs outside the chosen pair0 port subset', + 'New record storage and recursive child hosting', + 'Stream access and finite precision', 'Complete supplier invoice'], + 'scope': 'The altered first pair has an exact typed continuation through all old data events; only the chosen pair0 raw outputs have the full completed transform.'} + args.out.parent.mkdir(parents=True, exist_ok=True) + args.out.with_suffix('.word.json').write_bytes(word_raw) + args.out.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(json.dumps({'status': result['status'], 'receipt_sha256': sha256(args.out.read_bytes()).hexdigest(), + 'coded_helper_jobs': {name: value['old_helper_jobs_on_extra_line_fields'] + for name, value in checks.items()}})) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/DIRTY-CONSUMER-MANIFEST.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/DIRTY-CONSUMER-MANIFEST.json new file mode 100644 index 0000000000..b2a829908d --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/DIRTY-CONSUMER-MANIFEST.json @@ -0,0 +1,9 @@ +{ + "files": { + "DIRTY-CONSUMER.md": "196682c74e0bd9be93e9237b65bbe47f3fc706e7355bd290544bf804659cf963", + "check_dirty_consumer.py": "f9fd51c0e1b1059a3bce2e3745fc906bcc4bd42c8347923cb6aaa753570c6801", + "consumer/DIRTY-CONSUMER-WORD.json": "4d2c2ec96d2f9978df0396ce66d6640a061459fbf9f84b10fd7f0556c7117e6c", + "consumer/DIRTY-CONSUMER.json": "3a01c37e8ad09fb750f3308c9ab2d89df879393f7cb3b48c004c8f7938e39a85" + }, + "scope": "Full-W borrowed-record component; independent composition and owner reviews pending. New child hosting and full supplier remain open." +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/DIRTY-CONSUMER.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/DIRTY-CONSUMER.md new file mode 100644 index 0000000000..4fb7a742a0 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/DIRTY-CONSUMER.md @@ -0,0 +1,206 @@ +# A common-F consumer with no owned record banks + +The first-pair common-F consumer can replace its sixteen owned early +records by eight arbitrary borrowed records. The current stage-1 query +removes the eight T records. The two-cut owner allocation supplies the +remaining A records. A delayed erase restores their arbitrary baselines +before their next use. No extra full output bank is introduced. + +The construction parks the full 224-field coded pair through F2. It then +restores all of that pair at the complete U2 cut. The old full-W consumer +returns these values to pair 0 and keeps them outside later active calls. +After its final positive X lines and common cover correction, the 3,584 +first-pair fields across sixteen replicas have the required completed +transform of their original raw inputs. Their original input values have +no dependence in the other data outputs. The other output map is not +identified here. + +The selected-16-only consumer does not supply this whole-pair delayed +alias. This result changes that interface to full-W parking. It leaves +new recursive child hosting, the complete stream and precision invoice, +and the remaining supplier outputs open. There is no kappa claim. + +## Exact retained and new inputs + +The executable source list is in [the checker](check_dirty_consumer.py). +It pins the original selected archive, the QQ16 route algebra, the +[eight-record words](eight-records/EIGHT-RECORD-WORDS.json), the +[two-cut allocation](TWO-CUT-DONORS.json), and the residual-syndrome lane's +[one-C cleanup](../../residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP.md). +The source packets remain unchanged. + +The new program is a shared procedure table with exact owner bindings +and an ordered global patch schedule. Each of the 482 old events has one +retained or replacement entry. The procedure table contains the literal +capture, repair, and erase words. The schedule contains all 128 cover +maps and their inverses, every new native adapter recipe, all changed +bridges, and the final X lines. A procedure is reused with a new explicit +field binding; its scalar order does not change. + +The local source is the exact conserved QQ16 F0/B1 pair. Its all-column +and native proofs are inherited. Complete retained helper jobs have their +two-sided arbitrary-input contract. A changed helper value can be +correlated with active data: its complete output is still its own native +advance, and the other complete outputs do not depend on that value. +This is not a statement about an internal helper cut. + +## The three actual boundaries + +For each replica use the following complete cover cuts: + +1. Capture after its whole F0 sweep. +2. Repair after its whole B1 sweep. +3. Erase after the old pair-1 idle that follows F2, before the second + bridge. + +In replica 0 these are execution positions 0, 4, and 19. The certificate +lists all sixteen triples. At the last cut the parked pair is in pair 1 +and has complete common frame F_U2. The next physical swap returns it to +pair 0. The ordering is checked against the actual call list and all old +bridge positions, not just the stage names. + +At each donor boundary, gather the donor with M inverse, run the stated +scalar procedure, and return it with M. Here (M z)(h)=z(h U), using the +single U supplied for that donor. The native adapters act in the donor's +original physical owner coordinates. In particular, the final adapter +must run after the donor returns from the gathered view. + +## Ordered local and donor composition + +Let a be an arbitrary physical donor baseline at capture. In its gathered +coordinates write a=M F_L h. Add the early X_A value. The first retained +donor interval K1 and adapter A1 give M F_U1(h+X1_A). + +At B1, gather the donor and run the eight-record repair. Do not run its +old synthetic E1 stage events: A1 K1 already supplies that advance. The +112 positive Y lines remain. The current stage-1 query replaces the T +records. The repair then has the exact endpoint + + data = F_U1(z+E h), donor = M F_U1(h+G z), G E=0. + +The definitions of E and G and their exact ordered routes are in +[the dirty algebra proof](algebra/DIRTY-ECHO.md). In particular, G is a +future stage-2 query of an alias that is independent of h. The donor is +not yet restored at this point. + +The first full-W physical swap moves the entire coded pair into pair 1. +F2 therefore reads the other pair. The old pair-1 idle and complete helper +jobs advance the protected pair to F_U2(z+E h). The second retained donor +interval K2 and adapter A2 give M F_U2(h+G z). + +At this cut, gather the donors. The one-C cleanup changes only Y_offA to +the exact alias + + Y_offA += X_offA - P0_offA R0 X. + +It then reads N2 in the legal completed stage-2 views and subtracts the +result from the donors. Undo the alias shear. The donors now equal h in +common F_U2 coordinates. Subtract E h from the data. The outputs are +F_U2 z and F_U2 h. The only CLEARs are on the one owned scratch C. + +Return the donors with M, then run A3. The exact phase identity + + A3 V2 V1 = K2 K1 + +returns each donor to its original required value K2 K1 a. The source +allocation has no intervening active, bridge, terminal, or new cleanup +use. Each donor can therefore resume its original schedule. All 128 +chosen donor families are distinct, and the peak live use is 48 fields. + +No owned data is silently discarded. The repaired data had the explicit +E h error until the delayed erase. The donors carried h+G z until that +erase. The exact composition checks all 224 data columns, eight arbitrary +donor columns, one arbitrary owned scratch column, and 480 unchanged +helper columns. + +## Remaining full-W consumer + +Use the same full-W physical swaps as the accepted common-F consumer: +all first six bridges swap both banks, and the last three bridges and +terminal exchange are omitted. The first two swaps park and return the +protected pair. The later four swaps use other pairs. The first pair has +no later active call. + +A complete helper endpoint is a product of intrinsic lines and its +recorded translation. It commutes with the extra line on the common-F +Y fields. Its two-sided content contract also prevents protected values +from leaking into active outputs. The new donors obey the same complete +helper rule while they hold query terms, and are restored before every +subsequent scalar use. Thus the temporary dirty encoding does not add a +path from a protected input to another final data output. + +The initial virtual X factor is retained in the boundary. Before the +last common cover correction the protected raw inputs are + + X = F_73 Q inverse a, Y = F_73 b. + +The 112 positive X lines per replica remove Q inverse. The final common +cover correction is retained. This gives the exact completed transform +of the original physical inputs, not only of a recoded X input. + +## Complete component counts and exclusions + +The invoice is read from the actual procedure table and patch schedule. +It includes the final donor restoration. The already-paid donor histories +replace all eight synthetic E1 children per replica. + +| Added item across sixteen replicas | Exact count | +| --- | ---: | +| Positive Y and final X rank-one children | 3,584 | +| Donor rank-one adapter children | 200 | +| Donor rank-two adapter children | 7 | +| Added native rank mass | 3,798 | +| Native affine wrappers | 7,582 | +| Ordinary and donor cover maps | 8,192 | +| Capture, repair, and erase scalar allowance | 705,632 | +| Full modified bridge scalar allowance | 559,104 | +| New owned record families | 0 | +| Distinct borrowed donor families | 128 | +| Peak borrowed donor use | 48 | + +The scalar subtotal is 16(20,322+23,780). The ordinary map subtotal is +16(240+224), and the three donor boundary pairs add 768 maps. The native +adapter profile includes A1, A2, and A3. Its 107 nonzero translations are +inside its affine native wrappers; no standalone translation map is +needed. The bridge row is a full replacement cost, not an increment over +the original bridge bill. + +The old namespace has owned C fields 14,336 through 14,343. This procedure +uses only C0=14,336 between whole source sweeps and returns it to zero and +identity before the next sweep. It adds no productive field credit. +This local scratch reuse is separate from the workspace needed to host +the new recursive children. + +The counts exclude the retained raw QQ16 calls, old helper and idle jobs, +the final common cover correction, finite stream lowering of all native +and cover maps, child-internal arithmetic and workspace admission, +precision, and the other three-pair output map. These exclusions prevent +the component invoice from being a complete supplier invoice. + +## Verification + +Run with standard-library Python 3 and one CPU: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/check_dirty_consumer.py --out /private/tmp/dirty-consumer +``` + +Expected status is `PASS_TWO_CUT_DIRTY_RECORD_CONSUMER`. The local replay +uses exact rational coefficients, free ordered cover routes, and exact +mod-four native frame phases. It rejects a missing second donor advance +and an omitted data-error correction. The owner certificate has separate +controls for each native adapter and the order of the two native cuts. + +The global checker binds each procedure to the actual owners and old C0, +checks all three cuts, the parking path, every replacement bridge, and +the endpoint placement. The raw local native kernels and old helper +content/phase contracts are inherited. New recursive hosting and a full +precision analysis have not run. + +The eight-record word has independent local acceptance. The delayed +cleanup and two-cut owner allocation have separate review packets; their +review status must be read from those packets. This composition is also +under independent review. The work uses the earlier QQ16, common-F, +relative dirty-cache, and original owner-ledger results. OpenAI Codex +supplied research and implementation assistance. No source packet, PR, +or selected certificate was changed. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/EIGHT-RECORD-MANIFEST.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/EIGHT-RECORD-MANIFEST.json new file mode 100644 index 0000000000..f471628ac0 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/EIGHT-RECORD-MANIFEST.json @@ -0,0 +1,9 @@ +{ + "files": { + "EIGHT-RECORDS.md": "08de0928ca45caa0d12fd45923807c4c9ecb8809c1e7bf8a7a9daede5b3c7062", + "eight-records/EIGHT-RECORD-CHECKS.json": "352679b3970fb7192a466364561177dc284873253df271032319c046c928dd7f", + "eight-records/EIGHT-RECORD-WORDS.json": "8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4", + "emit_eight_records.py": "c4ef3f2e034670a0bf416396cecc83914008a6692bb66f184fc78d6968e8c1a0" + }, + "scope": "Frozen local words; independent review pending." +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/EIGHT-RECORDS.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/EIGHT-RECORDS.md new file mode 100644 index 0000000000..c4101aeba1 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/EIGHT-RECORDS.md @@ -0,0 +1,111 @@ +# Current-chart access removes the eight T records + +The common-frame first-pair decoder needs only the eight early A records +when it reads the current query from all completed Y fields. Its added +native profile is 112 rank-one children and eight rank-eight children, +of mass 176. The complete added scalar allowance is 20,290. There are +240 native wrappers and 240 cover maps. This replaces the earlier mass +240 word. It does not supply storage or child hosting. + +Use the exact conserved QQ16 F0 and B1 source contracts, the sets A, T, +and U, and the ordered route notation of `COMMON-F-RESTORATION.md` in the +paired-package-review lane. Put `(u,v)=(X1,Y1)` at the F0 output and +`(x2,y2)` at the B1 output. The required source identities are + + R1 y2 = ell1T uT, + x2_U = u_U-v_U, + y2_U = v_U+K1U ell1T uT, + x2_V+y2_V = u_V+v_V, + x2_A = u_A-N2 v_offA. + +Here `N2=P2A R2offA` is the future systematic query update. Its input +support is outside A. The first identity follows from the exact local +joint-query exchange. It is a current query, not a future query. + +## Ordered word + +Capture only the eight A values after F0. Advance them through E1 after +B1. Apply the positive intrinsic line to each of the 112 current Y +fields. All data and records now have the common F_U1 frame. + +Gather all 112 Y fields and the eight X_T fields with the actual stage-1 +completed-frame cover maps. Write these gathered coordinates without +route primes. The orthogonal minor gives `P_T=R_T^T/4`. Perform + + Y_T += X_T; + X_T = -X_T+Y_T+P_T R_offT Y_offT. + +The second assignment is an invertible scale and additions to X_T. Each +row uses only its own Y_T row and the unchanged off-T Y fields. Thus +X_T becomes `P_T R1 y2=u_T`, and Y_T holds the original selected sum. +The off-T Y fields must not change before this read. In particular, the +A selected-sum step is delayed until after it. + +Use this X_T to subtract `K1U ell1T X_T` from Y_U, in the same gathered +chart. The word uses the original one-array private scalar body for this +correction. Reverse all 120 cover maps. Now Y_U equals v_U. + +Form the A selected sums. Exchange the eight captured A values into X_A, +then clear the owned records. Apply the original U recovery, F0 X inverse, +and final selected Y subtraction. These return all 224 original logical +data values in common F_U1. The 480 arbitrary inherited helper jobs stay +unchanged. The physical input still has the original virtual X line Q; +this is the same boundary qualification as the earlier decoder. + +The selected-16 consumer can use this owned-record variant without a new +type change. Its 96 Y return lines and 16 final positive X lines add 112 +rank-one children. The complete added consumer profile is therefore +224 rank-one and eight rank-eight children, of mass 288. This is a local +native count, not a complete supplier invoice. Four simultaneous early +record sets still occur in the original schedule, now with eight fields +each: 32 owned whole-cover records, plus the local scratch role. + +## Dirty A record boundary + +There is also an invertible borrowed-record prefix. Start each A record +with an arbitrary value h in its F_L coordinates, add u_A without CLEAR, +and advance the whole sum through E1. At the A exchange, retain the +residue instead of clearing it, and add the new X_A to that residue. +The record then holds + + h+N2 v_offA. + +The data output is `z+E h`, where z is the original pair and + + (E h)_X,A = -h, + (E h)_X,T = P0T ell0A h, + (E h)_Y,A = h, + (E h)_Y,T = -P0T ell0A h, + (E h)_U = 0. + +This is not a restored borrowed record. The new word has no borrowed +CLEAR. It leaves an explicit residual and requires a later cleanup +operator. Its scalar allowance is 20,322; its native and map counts +equal those of the owned case. All 232 data/donor columns are checked. +The donor's original physical input can be arbitrary because F_L is +invertible. This coordinate choice is not a clean-input assumption. + +## Verification and scope + +Run with standard-library Python 3 and one CPU: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/emit_eight_records.py --out /private/tmp/eight-record-check +``` + +Expected status is `PASS_EIGHT_RECORD_CURRENT_QUERY_REPAIR`. + +The checker reuses the pinned exact free-route algebra and phase +interpreter from the accepted in-place source package. It checks the +new literal words, all data and donor columns, all 480 helper columns, +the one private scratch lifetime, every physical ADD phase, and every +cover route in its original order. A missing T-query term is rejected. +The positive line and E1 child recipes are unchanged subsets of the +accepted source. Their native kernels and the raw F0/B1 calls are +inherited, not rerun by this emitter. + +Independent review is pending. The dirty cleanup, donor allocation, +recursive child hosting, physical movement, precision, and complete +supplier remain separate obligations. No kappa change is claimed. +The work builds on the retained QQ16 and current-frame decoder lineage +and uses substantial OpenAI Codex assistance. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/FULL-W-ACCEPTANCE.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/FULL-W-ACCEPTANCE.json new file mode 100644 index 0000000000..84d33bf012 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/FULL-W-ACCEPTANCE.json @@ -0,0 +1,30 @@ +{ + "borrowed_families": 128, + "contract": "The dirty-record full-W word has the same all14336-output content map as its clean-owned-record reference. The reference other three-pair target map remains unidentified.", + "cover_maps": 8192, + "frozen_previous_files_changed": false, + "native_profile": { + "1": 3784, + "2": 7 + }, + "native_rank_mass": 3798, + "native_wrappers": 7582, + "new_owned_record_families": 0, + "open": [ + "New recursive child hosting", + "Finite streams and address/controller cost", + "Full precision invoice", + "The other three-pair target map and complete supplier" + ], + "peak_borrowed_fields": 48, + "scalar_components_including_full_replacement_bridges": 1264736, + "source_pins": { + "portable-source-codes/dirty-record-hosting-20261015/DIRTY-CONSUMER-MANIFEST.json": "a83988bfbef25e613391af95fd5f4829994b327b8b10cd62277d31f9df751213", + "portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/REVIEW.json": "0e7648b9b4a957b7e142830bebb44485771fa46f5e40a305791b98d37ae8bac3", + "residual-syndrome/physical-algebra/full-output-dirt-20261015/PROOF.md": "ff85c23d9114de3197dd3b6d95c8e739358ae545608ee363737f0b5f511959b7", + "residual-syndrome/physical-algebra/review-gauss/all-output-dirt/REVIEW.json": "03feb4d001b7f4507127350b6c811ed852c644203264a9a9bd1da9c6cef4f38e", + "residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json": "74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993", + "source-domain/two-cut-donor-review/REVIEW.json": "4b5d9f7d52df8db7a25d67c645c5b638af08a263b3ce6da69cdf7c20c58a1ce8" + }, + "status": "INDEPENDENT_COMPONENT_ACCEPTANCE" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-DONORS.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-DONORS.json new file mode 100644 index 0000000000..fb0e30536d --- /dev/null +++ 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32768, + 65536, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304 + ], + "event": 201, + "index": 38118, + "kind": "helper", + "translation": 0 + } + ] + ], + "ranks": [ + 4, + 9 + ] + }, + { + "family": 14038, + "minimum_adapter_mass": 8, + "paths": [ + [ + { + "axes": [ + 1024, + 2048, + 4096, + 8192 + ], + "event": 145, + "index": 28715, + "kind": "helper", + "translation": 0 + } + ], + [ + { + "axes": [ + 16384, + 32768, + 65536, + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304 + ], + "event": 201, + "index": 38117, + "kind": "helper", + "translation": 0 + } + ] + ], + "ranks": [ + 4, + 9 + ] + }, + { + "family": 14077, + "minimum_adapter_mass": 8, + "paths": [ + [ + { + "axes": [ + 2, + 505, + 501, + 493 + ], + "event": 175, + "index": 33217, + "kind": "helper", + "translation": 0 + } + ], + [ + { + "axes": [ + 477, + 445, + 381, + 253, + 512, + 1024, + 2048, + 4096, + 8192 + ], + "event": 189, + "index": 36346, + "kind": "helper", + "translation": 0 + } + ] + ], + "ranks": [ + 4, + 9 + ] + }, + { + "family": 14078, + "minimum_adapter_mass": 8, + "paths": [ + [ + { + "axes": [ + 505, + 4, + 499, + 491 + ], + "event": 175, + "index": 33210, + "kind": "helper", + "translation": 0 + } + ], + [ + { + "axes": [ + 475, + 443, + 379, + 251, + 512, + 1024, + 2048, + 4096, + 8192 + ], + "event": 189, + "index": 36344, + "kind": "helper", + "translation": 0 + } + ] + ], + "ranks": [ + 4, + 9 + ] + }, + { + "family": 14141, + "minimum_adapter_mass": 8, + "paths": [ + [ + { + "axes": [ + 1024, + 2048, + 4096, + 8192, + 16384, + 32768, + 65536, + 131072, + 262144 + ], + "event": 169, + "index": 32206, + "kind": "helper", + "translation": 0 + } + ], + [ + { + "axes": [ + 524288, + 1048576, + 2097152, + 4194304 + ], + "event": 217, + "index": 40906, + "kind": "helper", + "translation": 0 + } + ] + ], + "ranks": [ + 9, + 4 + ] + } + ], + "safe_best_mass": 2, + "safe_zero_adapter_count": 0, + "zero_adapter_count": 0 + } + ], + "scope": "Native path and conditional adapter count only; no delayed consumer or new child hosting.", + "source_review_sha256": "c0dba20c069fa72c4d50df808649110b9b18c660c6e43efdea041fc5bca8d647", + "status": "PASS_TWO_CUT_DONOR_CENSUS" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-DONORS.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-DONORS.md new file mode 100644 index 0000000000..dab2bb0154 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-DONORS.md @@ -0,0 +1,182 @@ +# Two-cut transport in 128 old borrowed fields + +The pinned 482-event schedule has 128 distinct old fields that can carry +the eight dirty A records in each of its sixteen replicas. One fixed cover +map per field aligns the two required native advances. Three short native +adapters, including full donor restoration, have total profile + + 200 rank-one children, seven rank-two children; rank mass 214. + +The word needs 414 native wrappers. Of their left maps, 107 have a recorded +translation. The certificate also records whether a translation needs a +separate map. Capture, repair, and erase use three pairs of inverse cover +maps on each field, or 768 cover maps in total. No new record family is +introduced. The assigned 128 old fields are all distinct, even when their +use intervals do not overlap. + +This is a native transport and restoration result. It applies to the +delayed full-W consumer in which all 224 recovered data fields are parked +through F2. It does not prove the delayed query read, the remaining data +outputs, new recursive child hosting, or the complete finite and precision +invoice. The selected-16-only consumer does not inherit the full-W data +alias. There is no supplier or kappa claim. + +## The actual cuts and exclusions + +For each replica, the record interval starts after its whole F0 sweep. +Its first internal cut is after the whole B1 sweep. Its last cut is after +the old pair-1 idle that follows F2, before the second bridge. In replica +0 these are execution positions 0, 4, and 19. + +The checker reconstructs all 69,120 complete helper jobs and all 7,526 +idle suffixes from the selected archive. It also records every old active, +bridge, terminal, and idle translation event. It excludes a candidate if +the field has an active, bridge, or terminal use inside the interval. It +also excludes every new full-W erase write to the parked pair-1 bank. +Thus no unrecorded scalar use of a chosen donor is assumed to be harmless. + +All retained helper jobs have the complete two-sided arbitrary-input +contract used by the accepted QQ16 consumer. A helper output depends only +on its own input, with the stated fixed-owner native operator. The active +outputs and other helpers have zero dependence on that input. The proof +uses this contract only for complete jobs. It does not use a partial +helper cut. + +The source loader and complete helper reconstruction are reused from the +pinned independent consumer review. The new census, cover maps, adapters, +allocation, and phase checks are in [check_two_cut_donors.py](check_two_cut_donors.py). +The full paths and matrices are in [TWO-CUT-DONORS.json](TWO-CUT-DONORS.json). + +## Two native advances with one cover map + +Write C_v for the original intrinsic line on an odd unit vector v. For +orthogonal vectors these operators commute, and + + C_v squared = X_v, C_v inverse = X_v C_v. + +Here X_v is the exact address translation. Both identities include phase. +Let B1 and B2 be the two disjoint sets of native axes used by one donor +between the three cuts. Let t1 and t2 be the two total translations. Its +old interval operators are + + K1 = X_t1 product_(v in B1) C_v, + K2 = X_t2 product_(v in B2) C_v. + +The actual axes belong to one recorded orthonormal basis of dimension 73. +Choose two disjoint eight-axis sets D1 and D2 from this basis. One +orthogonal matrix U sends E1 to D1 and E2 to D2. Complete its other columns +with the unused basis vectors. The same U is used at all three cuts. + +Let V1 and V2 be the products of C_v on D1 and D2. Apply + + A1 = V1 K1 inverse after B1, + A2 = V2 K2 inverse at the erase cut, + A3 = K2 K1 (V2 V1) inverse after the erase and data correction. + +All terms commute. Thus A1 K1=V1, A2 K2=V2, and A3 V2 V1=K2 K1. +Each adapter is a product on the symmetric difference of two axis sets, +with an explicit translation for every negative line. The checker proves +these three phase identities as exact quadratic polynomials modulo four +on all 73 character coordinates. It also emits an orthogonal wrapper and +its inverse for every nonempty adapter. A rank-r adapter is one original +rank-r recursive native child, on r tensor axes, with these two wrappers. +The tensor identity holds for every positive multiplicity. + +For a source field indexed by cover element g, use the donor at g U inverse. +Equivalently, (M z)(h)=z(h U). This is a permutation of independent cover +classes. It does not identify their data. Orthogonal conjugation gives + + V1 M = M F_E1, V2 M = M F_E2. + +Therefore one fixed M gives the required first advance and the required +second advance. Matching only their product would not suffice. + +## Arbitrary donor baseline and its exact return + +Let a be the donor's old arbitrary physical value at capture. Let the +saved query be F_L u_A. Capture adds M F_L u_A to a. Put + + h = F_L inverse M inverse a. + +This is a coordinate definition for an arbitrary value. It is not a clean +input premise. After the first retained native interval and A1, the donor +is M F_U1(h+u_A). Undo M for the dirty repair, then restore M. The local +word in [EIGHT-RECORDS.md](EIGHT-RECORDS.md) leaves the data z+E h and donor +M F_U1(h+G z), where G E=0. + +The full-W consumer parks this entire data pair through F2. Complete old +helper jobs and the old idle advance it to F_U2(z+E h). At the last donor +cut, A2 makes the donor M F_U2(h+G z). A legal full-U2 cleanup must subtract +G from the data, then subtract E of the restored donors. If that cleanup +is supplied, its output is F_U2 z and M F_U2 h. + +Finally apply A3 to the donor. Its value becomes exactly K2 K1 a. This is +the value required by the old schedule at that point. It can differ from +a because the old schedule had native work to perform. No donor CLEAR +or clean-baseline assumption is used. + +## Construction and cost + +For one path let r1 and r2 be the two old advance ranks. Take up to eight +axes from each advance for its matching desired set. Fill a deficit first +from unused axes of the other advance, then from unused basis axes. Define + + e = max(r1-8,0)+max(r2-8,0), + d = max(8-r1,0)+max(8-r2,0). + +The three adapters then have total rank 2 max(e,d). This is the minimum +for this fixed-basis assignment class. An axis used in its matching cut +costs zero. An unused old axis, a new axis, or an axis moved to the other +cut costs two. Pairing an excess axis with a deficit gives the stated +bound. This is not an optimality claim over other native representations. + +The selected allocation uses each of 128 old fields once. Its per-replica +adapter masses are + + 16,16,16,10,16,6,14,16,28,8,16,6,16,0,14,16. + +Their sum is 214. For example, role 0 uses owner family 9313. Its first +path has nine axes; its second path has seven. Move the extra first axis +to the second desired set. The first adapter is one negative line, the +second is its positive line, and the final restoration is identity. +The record has the exact required frame at both cuts. + +The packet also supplies a simpler allocation restricted to old pairs 2 +and 3. It costs 256 rank-one and 60 rank-two children, of mass 376. Neither +allocation is claimed to have minimum total cost among all assignments. + +In the full-W consumer, the eight owned E1 record children per replica +are replaced by the retained donor paths and these adapters. The remaining +new repair children are 112 positive Y lines per replica. The endpoint +still needs 112 positive X lines. Thus the conditional complete added +native profile of this repair and consumer is + + {1:3784, 2:7}, mass 3798, + +which includes every new donor adapter and its restoration. The raw QQ16 +calls and all original helper, idle, and tail children are separate retained +costs. The final query read and scalar erase need their own literal invoice. +No rank credit is added for the borrowed fields. The new child workspaces, +the wrapper streams, precision, and the complete remaining data map are +still open obligations. + +## Reproduction and checks + +Run with standard-library Python 3 and one CPU: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/check_two_cut_donors.py --out /private/tmp/two-cut-donors.json +``` + +The status is `PASS_TWO_CUT_DONOR_CENSUS`. The output contains all source +path indices, both cuts, both native axis sets, all translations, the fixed +cover map and inverse, and all three adapter recipes. Controls omit each +of the three adapters and interchange the two cut assignments. Each has +a nonzero exact phase error at its required boundary. + +This work uses the actual selected owner ledger, the relative dirty-cache +transport argument from the source-domain lane, and the common-F consumer +from the paired-package-review and portable-source-codes lanes. The old +proofs and packets remain unchanged. OpenAI Codex supplied research and +implementation assistance. Independent review of this new allocation is +pending. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-MANIFEST.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-MANIFEST.json new file mode 100644 index 0000000000..04f4674900 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-MANIFEST.json @@ -0,0 +1,8 @@ +{ + "files": { + "TWO-CUT-DONORS.json": "1769aa102c41b5d81dfc463a64eacb6742601b52c30d566ed0222d8ac99e2d70", + "TWO-CUT-DONORS.md": "ee0c5183fcce661b2cf24fc98f52cb40957be4762157a5add82cf5b0edb922fb", + "check_two_cut_donors.py": "3245d746b4b1834233dc3736abf2e1173e4b938d31c0a3403d189bba270c1b41" + }, + "scope": "Native owner transport with all three adapters. Independent review pending. No complete child hosting or supplier invoice." +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/ALGEBRA.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/ALGEBRA.json new file mode 100644 index 0000000000..9f57c64ddf --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/ALGEBRA.json @@ -0,0 +1,83 @@ +{ + "Schur_identity": "G E=0; I-G E=I", + "T_records_needed": 0, + "additional_owned_output_banks": 0, + "arbitrary_donor_columns": 8, + "arbitrary_scratch_columns": 1, + "before_cleanup": { + "data": "z+E h", + "donors": "h+G z" + }, + "cleanup_unique_linear_read": "A(donors)+L(data)=h for all z,h implies A=I and L=-G.", + "donor_CLEAR_operations": 0, + "donor_error_map": { + "distinct_source_columns": 8, + "maximum_route_word_length": 0, + "row_sha256": "f0adba2c7c61ce0cba5c553f75262b3ce1daa327bc642bab423ca0003699455b", + "rows": 224, + "terms": 80 + }, + "future_read": { + "distinct_source_columns": 216, + "maximum_route_word_length": 2, + "row_sha256": "4f096fac6482c0473241af7cde1e9659431d78736c376b92bb00f83bf6de0e61", + "rows": 8, + "terms": 22048 + }, + "inverse": [ + "h=donors-G data", + "z=data-E h" + ], + "literal_tail_events_replayed": 1853, + "negative_controls": { + "cleared_borrowed_donors_lose_arbitrary_columns": true, + "dirty_record_as_clean_changes_data": true, + "old_record_erase_is_not_cleanup": true, + "omitted_future_read_does_not_restore_donors": true + }, + "no_stage2_read_obstruction_witness": { + "E2_unit_axis": 17, + "coefficient": "1/2", + "donor_A_port": 0, + "image": 1310731, + "owner_word": [ + [ + 2, + 0 + ], + [ + 2, + 1 + ] + ], + "source_Y_U_port": 1 + }, + "not_claimed": [ + "Free clean access to a dirty cache", + "A native read from the wrong frame", + "Unchanged donor values after unmatched native advances", + "A scheduler for delayed cleanup" + ], + "required_reads": [ + "R1 Y2 over all112 current Y fields, before Y offT is changed", + "The actual F0-chart query R0 X on final data", + "Y1_U=Y_U+X_U-K0U R0 X and Y1_T=X_T+Y_T-P0T R0 X", + "N2 Y1_offA=P2A R2(U union T)Y1_offA, in the actual future owner chart", + "J0 h=P0T ell0A h for the final selected compensation" + ], + "route_checks": { + "actual_involutions": 224, + "ambient_axes": 73, + "stage1_routes_fix_every_E2_axis": true + }, + "scope": "Exact routed logical algebra under a common completed frame and a matched donor transport. No native lowering, owner allocation, phase transport through a delay, precision, full invoice, supplier or kappa claim.", + "source_data_columns": 224, + "source_pins": { + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/COMMON-F-RESTORATION.md": "1b00422c2ba2dcf90ad37ebc7e5fd8e00c1e379f959ec2f6493f166a9a286db0", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/common-frame-results/COMMON-F-RESTORATION-WORD.json": "c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e", + "work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.md": "1015479b667d70be74121c0abd347cbd8fd72938d932b544675b2236dd18864a", + "work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/RELATIVE-REUSE.md": "4ecbde9c53fd9888e5d0f2c90ef38dc006ff48ff7f9efb6b8339e87b03c6c3aa" + }, + "status": "PASS_EIGHT_DIRTY_DONOR_ECHO_ALGEBRA" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/DIRTY-ECHO.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/DIRTY-ECHO.md new file mode 100644 index 0000000000..410493011d --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/DIRTY-ECHO.md @@ -0,0 +1,264 @@ +# Eight dirty records with an exact erase query + +This note proves a conditional replacement for the sixteen owned records +in the first common-F recovery. Eight T records are removed. The other +eight records can use arbitrary borrowed fields. The repair then gives + + data = z + E h, donors = h + G z, G E = 0. + +Here z is the original logical pair of 224 fields, and h consists of the +eight arbitrary donor values in the repair coordinates. The exact inverse +is + + h = donors - G(data), z = data - E h. + +No donor is cleared. No extra output bank is used. One owned scalar scratch +field is enough for the row operations. This result does not allocate the +donors in the 482-event schedule. It does not make the future read G legal +in the current native frame. Those are separate conditions. + +The [check](check_dirty_echo.py) and [receipt](ALGEBRA.json) use the actual +QQ16 matrix and the frozen common-F repair tail. The exact cleanup rows +are in [FUTURE-READ-ROWS.json](FUTURE-READ-ROWS.json). The source pins and +all output pins are in [MANIFEST.json](MANIFEST.json). + +## Source and notation + +The consumed sources are the private +[common-F proof](../../../paired-package-review/upstream-followthrough-20261015/COMMON-F-RESTORATION.md) +and the two earlier storage notes: +[relative dirty transport](../../../source-domain/carried-owner-reuse/RELATIVE-REUSE.md) +and [idle swaps](../../../source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.md). +The source bytes remain unchanged. The parent worker supplied the T-record +reduction and the candidate A-record residue. This note proves and checks +their composition and the erase query. OpenAI Codex was used for this work. + +Use the literal selected sets + + A = [0,7,20,27,36,46,57,111], + T = [21,37,47,76,81,87,92,110], + V = A union T, U = the other 96 ports. + +Let R be the source 8 by 112 scalar matrix. Its restricted Gram matrices +are R_A R_A^t = R_T R_T^t = 4I and R_U R_U^t = 48I. For stage s, let +D_(s,p) be the actual involutive owner route. Define + + ell_(s,S) v = sum_(p in S) R_p D_(s,p) v_p, + (P_(s,S) f)_p = D_(s,p) R_p^t f / 4. + +Write R_s = ell_(s,all), and K_(s,U) = P_(s,U). The stage-0 route is +identity. Thus P_(s,T) is the inverse of ell_(s,T), and the same statement +holds for A. All products below retain their order. In particular, define + + N2 = P_(2,A) ell_(2,U union T), J0 = P_(0,T) ell_(0,A). + +Let (x1,y1) be the logical F0 output and (x2,y2) the logical B1 output. +The boundary is the same as in the consumed common-F proof. For raw entry +arrays (a,b), the recovered physical output is (F_U1 Q^-1 a, F_U1 b). +This note does not remove the initial Q factor. + +## Remove the eight T records + +The actual B1 query exchange gives + + R1 y2 = ell_(1,T) x1_T. + +To check this identity, put a = ell_(1,T) x1_T. The query-exchange output +v has R1 v = a. The final U and T transvections add K_(1,U) a and +-12 P_(1,T) a. Their contributions to R1 y2 are 12a and -12a, respectively. + +After all 112 positive Y lines, both data banks have common frame F_U1. +Before any Y field outside T is changed, set B = P_(1,T) ell_(1,U union A) +and apply + + Y_T += X_T + X_T = -X_T + Y_T + B Y_(U union A). + +Each right-hand side uses the values indicated by this order. The new +X_T is y2_T + B y2_(U union A) = P_(1,T) R1 y2 = x1_T. The new Y_T is +x2_T + y2_T = x_T + y_T. The eight T fields therefore have the same values +as after the old record exchange. No T record is needed. + +The current-chart read uses all 112 original Y fields in the equation +R1 y2. Its implementation only needs the 104 off-T Y sources in B, since +the old Y_T appears in the in-place operation. The current-chart cover +intertwiner from the source proof supplies these routes. The new scalar +order and cover sweeps must be included in the new invoice. + +## Use eight dirty A records + +At the repair cut, suppose the decoded donor on each A port is + + r_A = h + x1_A. + +There is no assumption on h. First set Y_A += X_A. Then use these four +ADD operations, with each right-hand side read after the previous line: + + X_A += r_A + r_A -= X_A + X_A += r_A + r_A += X_A. + +The first three operations put h+x1_A in X_A and -x2_A in r_A. The final +ADD retains the residue instead of clearing the donor. Since the B1 +future logger gives + + y2_A = y1_A + N2 y1_(U union T), + x2_A = x1_A - N2 y1_(U union T), + +the retained donor is + + r_A = h + N2 y1_(U union T). + +Now run the old common-F tail. It uses the recovered X_T to remove the +current-chart correction from Y_U, recovers X1_U, applies the F0 X inverse, +and subtracts the selected recovered X fields from the selected Y sums. +Before the F0 inverse, its only X error is +h on A. The exact F0 inverse +therefore leaves the following error E h: + + delta X_A = -h, delta Y_A = h, + delta X_T = J0 h, delta Y_T = -J0 h, + delta X_U = 0, delta Y_U = 0. + +This formula includes both selected banks. It does not discard donor +dirt into an unreported data output. + +## Recover the exact erase query + +For an arbitrary pair (X,Y), define f = R0 X and the 104 virtual fields + + u_U = Y_U + X_U - K_(0,U) f, + u_T = X_T + Y_T - P_(0,T) f. + +For the original pair z=(x,y), these fields are exactly y1_(U union T). +For the perturbed pair z+E h, they have the same values. In fact, + + R0 delta X = -ell_(0,A) h + ell_(0,T) J0 h = 0, + delta X_V + delta Y_V = 0, + delta X_U = delta Y_U = 0. + +Define G(X,Y) = N2 u. These identities prove G E = 0 without moving a +stage-2 route through an earlier query. Thus, at the dirty repair output, + + G(data) = N2 y1_(U union T) = G z. + +Subtract this read from the eight donors. They now equal h. Use the +restored donors to correct the data in this order: + + X_A += h; Y_A -= h; + X_T -= J0 h; Y_T += J0 h. + +Every original data field and every donor is restored. The donors remain +unchanged during the final correction. The complete joint linear map has +blocks [[I,E],[G,I]], with Schur complement I-GE=I. It is invertible on +all independent data and donor inputs. + +No array of 104 virtual fields is required. A row of G is a known finite +linear combination of reads from the existing data fields. Form one row +in the owned scratch C, subtract it from its donor, clear C, and then form +the next row. The eight donor writes do not affect any source of G. The +same row method computes J0 h. This proves the storage statement; the +physical legality and cost of those routed reads remain separate. + +For this joint state, the read G is necessary for linear donor restoration. +If A r + L data = h for every z and h, its z coefficient gives L=-A G. +Its h coefficient then gives A+L E=A(I-GE)=I. Hence A=I and L=-G. +This is a statement about this representation. It is not a lower bound +on every possible reversible storage construction. + +If N2 is already legal at the B1 cut, even the A records can be removed: +recover y1_(U union T) from T and U first, then use +x1_A = x2_A + N2 y1_(U union T). The dirty construction instead permits +this same future read to be postponed. + +## Physical donor transport and a postponed erase + +The equation r=h+x1_A is conditional on an exact transport identity. Let +an old donor have arbitrary physical baseline a at capture. Let T_d be +its original complete interval operator, and let M be a chosen cover +reindexing. A sufficient condition is + + T_d M F_L = M F_U1. + +Capture adds M F_L x1_A to a. At the repair cut the donor is then + + T_d a + M F_U1 x1_A = M F_U1 (h+x1_A), + h = F_U1^-1 M^-1 T_d a. + +This does not require a to have the query's entry frame. Decode a donor +read with M^-1 and encode a donor write with M. The scalar exchange above +then acts on the stated physical arrays. After the erase, the donor is +T_d a, its required value in the original schedule. It need not equal its +earlier baseline a if the original interval advances that baseline. + +Every helper use in the interval must have the complete two-sided source +contract on arbitrary inputs. No other data or scalar use can be ignored. +A mismatched native advance is not free: it must be compensated, or the +stated restoration fails. The parent worker is checking these intervals +against the actual schedule. This note does not perform that check. + +There is also an exact delayed form. Suppose the data and donor contents +then advance separately by invertible operators D and K. Their values are + + D(z+E h), K(h+G z). + +Read K G D^-1 from the current data and subtract it from the donors. The +donors become K h because G E=0. Then subtract D E K^-1 of those donors +from the current data. The data become D z. An actual delayed implementation +must supply these two reads in the actual frames. It must prove the stated +separate advances D and K. This formula is not a schedule or a permission +to commute a helper job through an unproved data operation. + +## Exact access obligation and a scoped route obstruction + +The erase read needs R0 X from the current data, the displayed 104-field +alias, and the actual future operator P_(2,A) ell_(2,U union T). The final +correction also needs J0 h. At a delayed cut these obligations become +K G D^-1 and D E K^-1. A later full native frame alone is not a proof of +the required content alias. + +The checker finds a specific nonzero term in G: donor A port 0 has the +coefficient 1/2 on + + D_(2,0) D_(2,1) Y_1. + +Port 1 belongs to U. The actual 73-axis owner matrix of this word sends +the unit vector at axis 17 to the bit mask 1310731. Every stage-1 route +fixes each E2 axis, 17 through 24, pointwise. Thus no product of stage-0 +and stage-1 routes gives this owner word. On independent full-cover source +arrays, a linear combination of reads at those earlier owner routes +cannot replace this term. This obstructs only that route class. It does +not exclude a legal native adapter, a later alias, or another representation. + +## Executed checks and limits + +Run from the workspace root with standard-library Python: + +```sh +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 VECLIB_MAXIMUM_THREADS=1 python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/check_dirty_echo.py +``` + +Expected status: `PASS_EIGHT_DIRTY_DONOR_ECHO_ALGEBRA`. + +The check uses all 224 independent original data columns, eight independent +donor columns, and one arbitrary owned scratch column. It checks the new +T operation, all A exchanges, the 1,853 emitted events formed from the A +exchange and frozen scalar tail, every data error row, the exact donor +residue, G E=0, the erase, and all final data and donor rows. It verifies +all 224 actual stage-1 and stage-2 owner involutions on 73 axes. The free +ordered route algebra only reduces an adjacent identical involution pair. +It does not use accidental route relations to make an identity pass. + +G has eight rows, 22,048 routed terms, 216 distinct original source columns, +and route words of length at most two. These are formal row counts, not +native operation costs. Controls reject use of the dirty record as a clean +record, omission of G, the old record erase after the new exchange, and +clearing the borrowed donors. + +The check does not replay the physical record lift or the 112 positive +Y lines; it starts the repair from their stated common logical frame. +It does not assign old donors or new child helpers. It does not check the +482-event delayed data path, the physical phase of the future read, or a +finite-precision implementation. The earlier sixteen-owned-record guard +bound and invoice do not transfer to this new word. No new complete native +profile, stream cost, controller, supplier, or kappa result is claimed. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json new file mode 100644 index 0000000000..17ac4c5398 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json @@ -0,0 +1 @@ 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diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/MANIFEST.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/MANIFEST.json new file mode 100644 index 0000000000..49504c32fa --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/MANIFEST.json @@ -0,0 +1,45 @@ +{ + "date": "2026-10-15", + "files": { + "ALGEBRA.json": { + "bytes": 3393, + "sha256": "dca51f7f4f30eaa6fa74e7ac7bbd18b3695eb2a93a31a6180c889507a9b2d051" + }, + "DIRTY-ECHO.md": { + "bytes": 11667, + "sha256": "a707837cd29f8cd157a35f666e27c354063a9b5e2c2e1f673f4121a3c3dc2dd2" + }, + "FUTURE-READ-ROWS.json": { + "bytes": 694325, + "sha256": "bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5" + }, + "check_dirty_echo.py": { + "bytes": 13734, + "sha256": "f9b6136fca103217884732e24d8213836807e8122c1e0061d89220640341b931" + } + }, + "not_checked": [ + "Actual allocation and complete interval histories of the eight old donors.", + "Native phase and content aliases for delayed cleanup in the 482-event word.", + "A complete scalar, native, cover-address or stream invoice.", + "New precision guards, child interiors, controller, supplier, or kappa result." + ], + "proved": [ + "The current B1 query identity removes all eight T records.", + "Eight arbitrary dirty A donors produce the exact joint state (z+E h,h+G z).", + "G E=0 and the displayed erase and data correction restore every input column.", + "No borrowed-donor CLEAR or extra owned output bank is needed for this algebra.", + "G is the unique linear donor erase read for this representation.", + "One nonzero G term requires a route outside the stage0/1-generated owner group." + ], + "reproduce": "OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 VECLIB_MAXIMUM_THREADS=1 python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/check_dirty_echo.py", + "scope": "Exact logical algebra. The actual donor schedule and native cleanup reads are conditions.", + "source_pins": { + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/COMMON-F-RESTORATION.md": "1b00422c2ba2dcf90ad37ebc7e5fd8e00c1e379f959ec2f6493f166a9a286db0", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/common-frame-results/COMMON-F-RESTORATION-WORD.json": "c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e", + "work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.md": "1015479b667d70be74121c0abd347cbd8fd72938d932b544675b2236dd18864a", + "work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/RELATIVE-REUSE.md": "4ecbde9c53fd9888e5d0f2c90ef38dc006ff48ff7f9efb6b8339e87b03c6c3aa" + }, + "status": "PASS_CONDITIONAL_EIGHT_DIRTY_DONOR_ECHO" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/check_dirty_echo.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/check_dirty_echo.py new file mode 100644 index 0000000000..9ce367e4d6 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/check_dirty_echo.py @@ -0,0 +1,314 @@ +"""Check an eight-donor echo on arbitrary data and donor columns. + +Use the actual QQ16 matrix and keep ordered cover paths as free words. +This checks logical algebra. It does not admit a native owner schedule. +""" + +from collections import Counter +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +HERE = Path(__file__).resolve().parent +ROOT = Path('/Users/aliromman/Projects/IntegerMultiplicationBounds') +LANES = ROOT/'work/centre-encoding-campaign-20261014/lanes' +SOURCE = LANES/'paired-package-review/upstream-followthrough-20261015' +A = (0, 7, 20, 27, 36, 46, 57, 111) +T = (21, 37, 47, 76, 81, 87, 92, 110) +V = A+T +U = tuple(p for p in range(112) if p not in V) +PINS = {} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def read(path, expected=None, compressed=False): + raw = path.read_bytes() + digest = sha256(raw).hexdigest() + if expected: + need(digest == expected, 'Source pin: '+str(path)) + PINS[str(path.relative_to(ROOT))] = digest + return gzip.decompress(raw) if compressed else raw + + +def add(a, b, c=Q(1)): + result = dict(a) + for key, value in b.items(): + result[key] = result.get(key, 0)+c*value + if not result[key]: + del result[key] + return result + + +def scale(row, c): + return {key: c*value for key, value in row.items() if c*value} + + +def move(row, stage, port): + if stage == 0: + return dict(row) + letter = stage, port + answer = {} + for (source, path), value in row.items(): + path = path[1:] if path and path[0] == letter else (letter,)+path + key = source, path + answer[key] = answer.get(key, 0)+value + return {key: value for key, value in answer.items() if value} + + +def basis(name): + return {(name, ()): Q(1)} + + +def query(bank, ports, stage, matrix): + values = [{} for _ in range(8)] + for p in ports: + row = move(bank[p], stage, p) + for k in range(8): + values[k] = add(values[k], row, matrix[k][p]) + return values + + +def scatter(values, ports, stage, matrix): + answer = {} + for p in ports: + row = {} + for k in range(8): + row = add(row, values[k], matrix[k][p]/4) + answer[p] = move(row, stage, p) + return answer + + +def forward(x, y, matrix): + response = scatter(query(x, range(112), 0, matrix), U+T, 0, matrix) + xx = {p: add(x[p], response[p], -1) for p in U} + xx.update(scatter(query(x, T, 0, matrix), A, 0, matrix)) + xx.update({p: response[p] for p in T}) + yy = {p: add(y[p], xx[p]) for p in U} + yy.update({p: add(add(x[p], y[p]), xx[p], -1) for p in V}) + return xx, yy + + +def backward(x, y, matrix): + u = dict(y) + code = scatter(query(y, U+T, 2, matrix), A, 2, matrix) + for p in A: + u[p] = add(u[p], code[p]) + a, b = query(x, T, 1, matrix), query(u, range(112), 1, matrix) + delta = scatter([add(aa, bb, -1) for aa, bb in zip(a, b)], T, 1, matrix) + v = dict(u) + for p in T: + v[p] = add(v[p], delta[p]) + need(query(v, range(112), 1, matrix) == a, 'Exact B1 query exchange') + response = scatter(a, U+T, 1, matrix) + yy = dict(v) + for p in U: + yy[p] = add(yy[p], response[p]) + for p in T: + yy[p] = add(yy[p], response[p], -12) + xx = {p: add(x[p], y[p], -1) for p in U} + xx.update({p: add(add(x[p], y[p]), yy[p], -1) for p in V}) + return xx, yy + + +def alias(x, y, matrix): + f = query(x, range(112), 0, matrix) + response = scatter(f, U+T, 0, matrix) + result = {p: add(add(y[p], x[p]), response[p], -1) for p in U} + result.update({p: add(add(x[p], y[p]), response[p], -1) for p in T}) + return result + + +def future_read(x, y, matrix): + return scatter(query(alias(x, y, matrix), U+T, 2, matrix), A, 2, matrix) + + +def error_map(h, matrix): + transferred = scatter(query(h, A, 0, matrix), T, 0, matrix) + dx = {p: {} for p in range(112)} + dy = {p: {} for p in range(112)} + for p in A: + dx[p], dy[p] = scale(h[p], -1), dict(h[p]) + for p in T: + dx[p], dy[p] = transferred[p], scale(transferred[p], -1) + return dx, dy + + +def serialize(rows): + return [[name, [[source, [list(letter) for letter in path], str(c)] + for (source, path), c in sorted(row.items())]] + for name, row in sorted(rows.items())] + + +def summary(rows): + entries = [item for row in rows.values() for item in row.items()] + return {'rows': len(rows), 'terms': len(entries), + 'distinct_source_columns': len({key[0] for key, _ in entries}), + 'maximum_route_word_length': max((len(key[1]) for key, _ in entries), default=0), + 'row_sha256': sha256(json.dumps(serialize(rows), separators=(',', ':')).encode()).hexdigest()} + + +def act(columns, vector): + result = 0 + while vector: + bit = vector & -vector + result ^= columns[bit.bit_length()-1] + vector ^= bit + return result + + +def main(): + need(shutil.disk_usage(HERE).free >= 3*1024**3, 'Three GiB free') + packet = json.loads(read(SOURCE/'base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7', True)) + word = json.loads(read(SOURCE/'common-frame-results/COMMON-F-RESTORATION-WORD.json', + 'c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e')) + for name in ('RELATIVE-REUSE.md', 'CLEAN-IDLE-STORAGE.md'): + read(LANES/'source-domain/carried-owner-reuse'/name) + read(SOURCE/'COMMON-F-RESTORATION.md', + '1b00422c2ba2dcf90ad37ebc7e5fd8e00c1e379f959ec2f6493f166a9a286db0') + matrix = [[Q(row.get(str(p), 0)) for p in range(112)] for row in packet['R_rows']] + for ports, gram in ((A, 4), (T, 4), (U, 48)): + need(all(sum(matrix[i][p]*matrix[j][p] for p in ports) == gram*(i == j) + for i in range(8) for j in range(8)), 'Actual minor Gram') + x = {p: basis('x:'+str(p)) for p in range(112)} + y = {p: basis('y:'+str(p)) for p in range(112)} + h = {p: basis('h:'+str(p)) for p in A} + x1, y1 = forward(x, y, matrix) + x2, y2 = backward(x1, y1, matrix) + need(query(y2, range(112), 1, matrix) == query(x1, T, 1, matrix), 'T record source identity') + rows = {'X'+str(p): x2[p] for p in range(112)} + rows.update({'Y'+str(p): y2[p] for p in range(112)}) + rows.update({'R'+str(p): add(h[p], x1[p]) for p in A}) + rows['C'] = basis('scratch') + + # Run the new T block before any change to Y outside T. + off = scatter(query(y2, U+A, 1, matrix), T, 1, matrix) + for p in T: + rows['Y'+str(p)] = add(rows['Y'+str(p)], rows['X'+str(p)]) + rows['X'+str(p)] = add(add(scale(rows['X'+str(p)], -1), rows['Y'+str(p)]), off[p]) + need(rows['X'+str(p)] == x1[p], 'T record recovered in place') + need(rows['Y'+str(p)] == add(x[p], y[p]), 'T selected sum retained') + + repair = word['repair_after_B1'] + first_map = next(i for i, e in enumerate(repair) if e['op'] == 'map') + need(first_map == 208, 'Frozen prefix boundary') + prefix = repair[128:first_map] + for at, p in enumerate(V): + a, r, yy = 'X'+str(p), 'R'+str(p), 'Y'+str(p) + expected = [dict(op='add', dst=yy, src=a, c='1'), dict(op='add', dst=a, src=r, c='1'), + dict(op='add', dst=r, src=a, c='-1'), dict(op='add', dst=a, src=r, c='1'), + dict(op='clear', field=r, frame='identity')] + need(prefix[5*at:5*at+5] == expected, 'Literal selected exchange block') + emitted = [] + for p in A: + at = V.index(p)*5 + emitted.extend(prefix[at:at+4]) + emitted.append(dict(op='add', dst='R'+str(p), src='X'+str(p), c='1')) + emitted += repair[first_map:] + for e in emitted: + op = e['op'] + if op == 'add': + rows[e['dst']] = add(rows[e['dst']], rows[e['src']], Q(e['c'])) + elif op == 'scale': + rows[e['field']] = scale(rows[e['field']], Q(e['c'])) + elif op == 'clear': + need(e['field'] == 'C', 'No donor or data CLEAR') + rows['C'] = {} + elif op == 'map': + stage, p = e['letter'] + rows[e['field']] = move(rows[e['field']], stage, p) + else: + need(op in ('private_begin', 'private_end'), 'Scalar tail event') + xx = {p: rows['X'+str(p)] for p in range(112)} + yy = {p: rows['Y'+str(p)] for p in range(112)} + donors = {p: rows['R'+str(p)] for p in A} + dx, dy = error_map(h, matrix) + need(all(xx[p] == add(x[p], dx[p]) and yy[p] == add(y[p], dy[p]) for p in range(112)), + 'Exact data error E h') + query_original = scatter(query(y1, U+T, 2, matrix), A, 2, matrix) + need(all(donors[p] == add(h[p], query_original[p]) for p in A), 'Exact donor value h+Gx') + need(alias(xx, yy, matrix) == {p: y1[p] for p in U+T}, 'Dirt-independent Y1 alias') + need(all(not row for row in future_read(dx, dy, matrix).values()), 'G E equals zero') + query_now = future_read(xx, yy, matrix) + need(query_now == query_original, 'Cleanup query is unchanged by donor dirt') + restored = {p: add(donors[p], query_now[p], -1) for p in A} + need(restored == h, 'All eight arbitrary donor columns restored') + ex, ey = error_map(restored, matrix) + final_x = {p: add(xx[p], ex[p], -1) for p in range(112)} + final_y = {p: add(yy[p], ey[p], -1) for p in range(112)} + need(final_x == x and final_y == y and not rows['C'], 'All 224 data columns and scratch') + + # A future-owner path cannot be made from routes which fix E2 pointwise. + routes = {} + for stage in (1, 2): + for p in range(112): + event = next(e for e in packet['programs']['F_'+str(stage)] + if e[0] == 'cover_map' and e[1] == ['L', p]) + routes[stage, p] = packet['map_registry'][event[2]]['owner_right_matrix_columns'] + need(all(len(route) == 73 and all(act(route, act(route, 1 << j)) == 1 << j + for j in range(73)) for route in routes.values()), 'Actual owner routes are involutions') + need(all(act(routes[1, p], 1 << j) == 1 << j for p in range(112) for j in range(17, 25)), + 'Every stage-1 route fixes E2') + witness = None + for a in A: + for p in U: + coefficient = sum(matrix[k][a]*matrix[k][p]/4 for k in range(8)) + if not coefficient: + continue + for j in range(17, 25): + image = act(routes[2, a], act(routes[2, p], 1 << j)) + if image != 1 << j: + key = 'y:'+str(p), ((2, a), (2, p)) + need(query_now[a].get(key) == coefficient, 'Actual future read coefficient') + witness = {'donor_A_port': a, 'source_Y_U_port': p, 'coefficient': str(coefficient), + 'owner_word': [[2, a], [2, p]], 'E2_unit_axis': j, 'image': image} + break + if witness: + break + if witness: + break + need(witness is not None, 'Future-read route witness') + controls = { + 'omitted_future_read_does_not_restore_donors': donors != h, + 'dirty_record_as_clean_changes_data': xx != x or yy != y, + 'old_record_erase_is_not_cleanup': any(add(donors[p], x1[p], -1) != h[p] for p in A), + 'cleared_borrowed_donors_lose_arbitrary_columns': any(h[p] for p in A)} + need(all(controls.values()), 'Negative controls') + result = {'status': 'PASS_EIGHT_DIRTY_DONOR_ECHO_ALGEBRA', 'source_pins': PINS, + 'source_data_columns': 224, 'arbitrary_donor_columns': 8, 'arbitrary_scratch_columns': 1, + 'donor_CLEAR_operations': 0, 'additional_owned_output_banks': 0, + 'literal_tail_events_replayed': len(emitted), 'T_records_needed': 0, + 'route_checks': {'actual_involutions': len(routes), 'ambient_axes': 73, + 'stage1_routes_fix_every_E2_axis': True}, + 'before_cleanup': {'data': 'z+E h', 'donors': 'h+G z'}, + 'Schur_identity': 'G E=0; I-G E=I', + 'inverse': ['h=donors-G data', 'z=data-E h'], + 'cleanup_unique_linear_read': 'A(donors)+L(data)=h for all z,h implies A=I and L=-G.', + 'future_read': summary(query_now), 'donor_error_map': summary({**{'X'+str(p):dx[p] for p in range(112)}, + **{'Y'+str(p):dy[p] for p in range(112)}}), + 'no_stage2_read_obstruction_witness': witness, 'negative_controls': controls, + 'scope': 'Exact routed logical algebra under a common completed frame and a matched donor transport. No native lowering, owner allocation, phase transport through a delay, precision, full invoice, supplier or kappa claim.', + 'required_reads': ['R1 Y2 over all112 current Y fields, before Y offT is changed', + 'The actual F0-chart query R0 X on final data', + 'Y1_U=Y_U+X_U-K0U R0 X and Y1_T=X_T+Y_T-P0T R0 X', + 'N2 Y1_offA=P2A R2(U union T)Y1_offA, in the actual future owner chart', + 'J0 h=P0T ell0A h for the final selected compensation'], + 'not_claimed': ['Free clean access to a dirty cache', 'A native read from the wrong frame', + 'Unchanged donor values after unmatched native advances', 'A scheduler for delayed cleanup']} + path = HERE/'ALGEBRA.json' + path.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + (HERE/'FUTURE-READ-ROWS.json').write_text(json.dumps(serialize(query_now), separators=(',', ':'))+'\n') + print(json.dumps({'status': result['status'], 'receipt_sha256':sha256(path.read_bytes()).hexdigest(), + 'future_read':result['future_read'], 'route_witness':witness})) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/CHECK.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/CHECK.json new file mode 100644 index 0000000000..8457f19327 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/CHECK.json @@ -0,0 +1,476 @@ +{ + "adapter_profiles_by_cut": [ + { + "1": 90 + }, + { + "1": 71 + }, + { + "1": 39, + "2": 7 + } + ], + "adapter_translations": 107, + "cleanup_bill": { + "coefficients": { + "add:-1": 448, + "add:-1/2": 296, + "add:-1/4": 416, + "add:1": 672, + "add:1/2": 184, + "add:1/4": 416 + }, + "event_counts": { + "add": 2432, + "clear": 18, + "map": 224, + "private_begin": 2, + "private_end": 2 + }, + "scalar_allowance": 23780, + "scalar_by_op": { + "add": 23744, + "clear": 36 + } + }, + "coverage": "Actual 482-event outer word, boundary owner bindings, exact adapter phases, arbitrary-input block composition, physical swaps, and literal scalar counts. No donor census or local-word replay.", + "donor_roles": 128, + "donor_views": "At each cut gather with U^-1 and return with U. Apply A3 after return.", + "local_bill": { + "coefficients": { + "add:-1": 441, + "add:-1/2": 152, + "add:-1/4": 384, + "add:-2": 8, + "add:1": 385, + "add:1/2": 264, + "add:1/4": 384, + "add:2": 8, + "scale:-1": 32, + "scale:-1/2": 6, + "scale:-1/4": 2, + "scale:-2": 6, + "scale:-4": 2, + "scale:1/2": 2, + "scale:1/4": 2, + "scale:2": 2, + "scale:4": 2 + }, + "event_counts": { + "add": 2026, + "clear": 9, + "line": 112, + "map": 240, + "private_begin": 1, + "private_end": 1, + "scale": 56 + }, + "scalar_allowance": 20322, + "scalar_by_op": { + "add": 20144, + "clear": 18, + "scale": 160 + } + }, + "negative_controls": { + "A3_before_donor_return": { + "character": 2, + "family": 12381, + "physical_adapter_phase": 0, + "required_gathered_adapter_phase": 1, + "role": 24 + }, + "reverse_cover_direction": { + "expected_D1": [ + 82, + 4, + 8, + 67, + 32, + 19, + 128, + 256 + ], + "family": 9313, + "role": 0, + "wrong_D1": [ + 131072, + 262144, + 524288, + 1048576, + 2097152, + 4194304, + 8388608, + 16777216 + ] + } + }, + "one_bridge_bill": { + "coefficients": { + "add:-1": 224, + "add:1": 448, + "scale:-1": 224 + }, + "event_counts": { + "add": 672, + "scale": 224 + }, + "scalar_allowance": 5824, + "scalar_by_op": { + "add": 5376, + "scale": 448 + } + }, + "outer_word_checks": { + "lease_trace": [ + { + "boundary": "capture", + "live_donors_after": 8, + "old_event": 0, + "replica": 0 + }, + { + "boundary": "capture", + "live_donors_after": 16, + "old_event": 1, + "replica": 8 + }, + { + "boundary": "capture", + "live_donors_after": 24, + "old_event": 2, + "replica": 1 + }, + { + "boundary": "capture", + "live_donors_after": 32, + "old_event": 3, + "replica": 9 + }, + { + "boundary": "repair", + "live_donors_after": 32, + "old_event": 4, + "replica": 0 + }, + { + "boundary": "repair", + "live_donors_after": 32, + "old_event": 7, + "replica": 8 + }, + { + "boundary": "capture", + "live_donors_after": 40, + "old_event": 10, + "replica": 2 + }, + { + "boundary": "capture", + "live_donors_after": 48, + "old_event": 11, + "replica": 10 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 12, + "replica": 1 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 15, + "replica": 9 + }, + { + "boundary": "cleanup", + "live_donors_after": 40, + "old_event": 19, + "replica": 0 + }, + { + "boundary": "cleanup", + "live_donors_after": 32, + "old_event": 22, + "replica": 8 + }, + { + "boundary": "capture", + "live_donors_after": 40, + "old_event": 24, + "replica": 3 + }, + { + "boundary": "capture", + "live_donors_after": 48, + "old_event": 25, + "replica": 11 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 26, + "replica": 2 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 29, + "replica": 10 + }, + { + "boundary": "cleanup", + "live_donors_after": 40, + "old_event": 33, + "replica": 1 + }, + { + "boundary": "cleanup", + "live_donors_after": 32, + "old_event": 36, + "replica": 9 + }, + { + "boundary": "capture", + "live_donors_after": 40, + "old_event": 44, + "replica": 4 + }, + { + "boundary": "capture", + "live_donors_after": 48, + "old_event": 45, + "replica": 12 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 46, + "replica": 3 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 49, + "replica": 11 + }, + { + "boundary": "cleanup", + "live_donors_after": 40, + "old_event": 53, + "replica": 2 + }, + { + "boundary": "cleanup", + "live_donors_after": 32, + "old_event": 56, + "replica": 10 + }, + { + "boundary": "capture", + "live_donors_after": 40, + "old_event": 70, + "replica": 5 + }, + { + "boundary": "capture", + "live_donors_after": 48, + "old_event": 71, + "replica": 13 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 72, + "replica": 4 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 75, + "replica": 12 + }, + { + "boundary": "cleanup", + "live_donors_after": 40, + "old_event": 79, + "replica": 3 + }, + { + "boundary": "cleanup", + "live_donors_after": 32, + "old_event": 82, + "replica": 11 + }, + { + "boundary": "capture", + "live_donors_after": 40, + "old_event": 102, + "replica": 6 + }, + { + "boundary": "capture", + "live_donors_after": 48, + "old_event": 103, + "replica": 14 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 104, + "replica": 5 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 107, + "replica": 13 + }, + { + "boundary": "cleanup", + "live_donors_after": 40, + "old_event": 111, + "replica": 4 + }, + { + "boundary": "cleanup", + "live_donors_after": 32, + "old_event": 114, + "replica": 12 + }, + { + "boundary": "capture", + "live_donors_after": 40, + "old_event": 134, + "replica": 7 + }, + { + "boundary": "capture", + "live_donors_after": 48, + "old_event": 135, + "replica": 15 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 142, + "replica": 6 + }, + { + "boundary": "repair", + "live_donors_after": 48, + "old_event": 145, + "replica": 14 + }, + { + "boundary": "cleanup", + "live_donors_after": 40, + "old_event": 149, + "replica": 5 + }, + { + "boundary": "cleanup", + "live_donors_after": 32, + "old_event": 152, + "replica": 13 + }, + { + "boundary": "repair", + "live_donors_after": 32, + "old_event": 178, + "replica": 7 + }, + { + "boundary": "repair", + "live_donors_after": 32, + "old_event": 181, + "replica": 15 + }, + { + "boundary": "cleanup", + "live_donors_after": 24, + "old_event": 187, + "replica": 6 + }, + { + "boundary": "cleanup", + "live_donors_after": 16, + "old_event": 190, + "replica": 14 + }, + { + "boundary": "cleanup", + "live_donors_after": 8, + "old_event": 219, + "replica": 7 + }, + { + "boundary": "cleanup", + "live_donors_after": 0, + "old_event": 222, + "replica": 15 + } + ], + "local_calls": 144, + "old_events": 482, + "owned_scratch_family": 14336, + "peak_live_borrowed_donors": 48, + "procedure_calls": 48, + "protected_active_owner_exclusions": 112, + "restoration_deadline": "Each cleanup block returns donors and applies A3 before the next original event." + }, + "outer_word_negative_controls": { + "A3_before_return": "Return before A3 and restoration before next old event", + "keep_synthetic_record_lift": "Exact procedures and removed E1 lifts", + "partial_W_swap": "Actual full-W swap binding", + "reverse_capture_cover": "Adapter before gather and exact inverse cover direction" + }, + "outstanding_review_inputs": [ + "Independent actual donor-path review", + "Separate all-output dirt audit" + ], + "source_pins": { + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/REVIEW.json": "a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef", + 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retained complete native helper contracts have their stated two-sided arbitrary-input identities.", + "The inherited local repair and cleanup review contracts apply to the exact pinned words." + ], + "files": { + "CHECK.json": "0e8756bd91a77d29f8dfe521a4d9061f3610b75ef0a8bc57d8942ba4d4050388", + "REVIEW.md": "6fbe62b584f7dac1189bb86bf8806e5dfb5fbb7ccd304ae69024e329f3f2e241", + "check_composition.py": "c40fce712e369f22c2f1dd95646bbc7fabd3a49429903a29330a225a35632391" + }, + "free_bytes_at_freeze": 15343734784, + "inherited_review_pins": { + "full_W_consumer": "a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef", + "literal_delayed_cleanup": "74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993", + "local_repair": "17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4" + }, + "material_findings": [], + "negative_controls": { + "A3_before_donor_return": { + "character": 2, + "family": 12381, + "physical_adapter_phase": 0, + 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+1,249 @@ +# Two-cut dirty-record composition review + +The frozen outer word composes on arbitrary data and arbitrary donor +baselines, under its pinned complete donor-path premise. Its operation +order, actual owner bindings, and component counts pass this review. The +independent literal repair and cleanup reviews are accepted inputs. The +independent actual donor-path review and all-output dirt audit are separate +pending reviews; their work is not claimed here. + +The consumed outer manifest is +`a83988bfbef25e613391af95fd5f4829994b327b8b10cd62277d31f9df751213`. +The outer word is +`4d2c2ec96d2f9978df0396ce66d6640a061459fbf9f84b10fd7f0556c7117e6c`. +The [checker](check_composition.py) and [receipt](CHECK.json) give the exact +checks. [REVIEW.json](REVIEW.json) pins this review and all consumed inputs. + +This review does not repeat the donor census. It reads the selected donor +records and checks their cover maps, native adapter phases, wrapper pairs, +and connection to the local algebra. The review files are new. No frozen +source file was changed. + +## Exact physical order + +For one donor role, let a be its arbitrary physical value at capture. +Let K1 and K2 be its old native interval operators in their original owner +coordinates. Let M be the fixed cover permutation + + (M f)(h) = f(h U), (M^-1 f)(g) = f(g U^-1). + +The chosen donor for a source owner g is at owner g U^-1. At each of the +three cuts, gather the donor with M^-1, perform the local operation, and +return it with M. In matrix-column notation, the gather uses U_inverse_columns +and the return uses U_columns. These directions are not interchangeable. + +Define h = F_L^-1 M^-1 a. This is a coordinate definition of arbitrary +donor dirt. It imposes no relation between the donor's old native frame +and the source frame. Let u_A be the captured F0 X output. Capture gives + + a + M F_L u_A = M F_L(h+u_A). + +The first adapter is A1=V1 K1^-1, where V1 M=M F_E1. Apply A1 in the +original donor coordinates after the complete B1 cut and before the repair +gather. The gathered donor is then F_U1(h+u_A). Remove the eight old E1 +record-stage events from the local repair. Keeping them would advance +the records twice. + +The proved dirty repair, including the current-chart T read, gives + + data = F_U1(z+E h), donor = M F_U1(h+G z), G E=0. + +The entire 224-field data pair is parked by the first full-W swap. The +old complete helper jobs and pair-1 idle advance that pair to +F_U2(z+E h). The active F2 call receives the other pair through the physical +swap. It does not consume the parked pair. The complete helper contract +has zero cross-dependence in both directions, so the temporary correlation +with the donor causes no extra data output. + +At the last donor cut, apply A2=V2 K2^-1 in the original donor coordinates, +with V2 M=M F_E2. Gather with M^-1. The cleanup now has exactly its required +input + + data = F_U2(z+E h), donor = F_U2(h+G z). + +Its order is donor -= G(data), then data -= E(donor), with the second line +using the updated donor. The one-C literal word implements this order by +an alias shear, the completed stage-2 query, the inverse alias shear, and +the selected error correction. Its result is F_U2 z and F_U2 h. The Schur +inverse is two-sided: + + [[I+E G,-E],[-G,I]] [[I,E],[G,I]] = I, + [[I,E],[G,I]] [[I+E G,-E],[-G,I]] = I, + +using only G E=0. This covers every data and donor value, including values +correlated with other inputs. + +Return the donor with M after the full cleanup and data correction. Only +then apply A3=K2 K1(V2 V1)^-1 in the original donor coordinates. Since + + M F_U2 h = V2 V1 a, + +the final donor is K2 K1 a, exactly its required old-schedule value. The +second physical swap then returns the recovered pair to pair 0. + +The first cut, both native intervals, and all three adapters are needed. +The last adapter restores the baseline after the query has been erased. +It is not a cost-free phase normalization. + +## Restoration deadline and later output + +For each role, all boundary operations are complete cover sweeps. At the +last cut, A2, gather, cleanup, return, and A3 must finish after the named +idle and before the next original event. In replica 0 this is after event +19 and before the second bridge at event 20. The same rule applies at the +recorded cut of each replica. + +The donor certificate selects 128 distinct old fields. Thus the new record +roles do not share a donor, even when their intervals overlap. Its claimed +exclusions include all old active, bridge, and terminal uses and all new +full-W cleanup writes. The independent owner-path review must establish +that those claims match the full actual schedule. This review verifies +that the emitted boundary order restores the donor before +any such later use. New native child hosting remains separate. + +After cleanup, the accepted full-W consumer applies without a data error. +The last three bridges and the terminal operations are omitted on all 112 +ports. The final 112 positive X lines occur after the old native tail and +before the accepted final common translation. They remove the initial +virtual X factor Q^-1. The proved output is the accepted completed transform +on the original raw first pair: 224 fields per replica, 3,584 fields total. +The other three pairs have a separate data map whose target remains open. + +Parking only A union T would not justify this composition. The erase query +uses all 104 off-A source values. The full-W swap is a material condition. + +## Independent exact checks + +The new check imports no producer. It verifies every selected U/U^-1 pair +on all 73 axes, and checks that the same U sends E1 and E2 to the two stated +desired blocks. It derives each adapter's phase directly from its actual +axis list and translation. For a character c, the phase exponent is + + sum_v parity(c dot v) + 2 parity(c dot t) modulo 4. + +The check compares every coefficient of this quadratic polynomial. The +constant coefficient is zero because each intrinsic line and translation +fixes the zero character with eigenvalue one. It checks both cut identities +and the final baseline restoration. These identities extend by conjugation +to every cover owner and by addition to every positive tensor multiplicity. + +All 414 native wrapper matrices have the stated inverse. The first native +block of each left wrapper is exactly its adapter's axis list. The check +does not infer a native child allocation from a valid wrapper. + +The formal block check verifies the dirty map and its inverse under G E=0. +The earlier frozen algebra supplies that relation for the actual routed +query. The separate local-word reviews supply the literal repair and +cleanup contracts. The new physical-swap replay starts with all 448 +independent fields of two bank pairs and checks each scalar operation. +Its result is the exact swap for arbitrary and unequal native frames. + +The outer-word check reads the pinned actual global template. It checks +all 482 original event anchors in order, all 144 active owner lists, and +all 48 procedure bindings. It checks the full-W parking path, all nine +bridge positions in each replica, and the endpoint placement. Every donor +boundary has its exact adapter, gather, procedure, return, and restoration +order. There is no extra unpriced operation between old events. + +All data, eight donor roles, and the scratch role are distinct at each +procedure call. Scratch C is bound to old owned field 14,336, which is in +the source's owned center interval [14,336,14,344). The consumed literal +reviews prove that C returns to zero and identity before the next whole +sweep. No extra scratch family is allocated. The independent interval scan +finds a peak of 48 borrowed donors, with all leases closed before the final +positive X lines. + +Two direction controls have explicit witnesses: + +- At role 0, family 9313, the reversed cover convention sends E1 to the + coordinate E2 block instead of the desired block + [82,4,8,67,32,19,128,256]. +- At role 24, family 12381, applying the unmodified A3 before donor return + gives phase 0 on character e1. The required conjugated adapter in that + gathered view has phase 1. + +Mutations of the actual outer word reverse the first capture cover, move +A3 before the donor return, keep an old synthetic E1 record lift, or reduce +one full-W swap to selected ports. Each mutation fails the independent +outer-word check. The first two also have the phase witnesses above. + +## Complete component subtotals + +The native adapter profile splits as follows. + +| Adapter cut | Rank-one children | Rank-two children | Rank mass | +| --- | ---: | ---: | ---: | +| A1, after B1 | 90 | 0 | 90 | +| A2, before cleanup | 71 | 0 | 71 | +| A3, after donor return | 39 | 7 | 53 | +| All adapters | 200 | 7 | 214 | + +The 207 nonempty adapters have 414 native wrappers. Exactly 107 adapter +translations are nonzero. Each is included in a nonempty adapter's native +wrapper. There are no separate adapter translation maps in this allocation. + +Each replica keeps 112 positive Y repair lines and 112 positive X endpoint +lines. There is no Y return line in the full-W case. The old eight E1 record +children are removed. The total added native profile is therefore + + {1: 16*224+200, 2: 7} = {1:3784, 2:7}, + rank mass = 3798, + native wrappers = 16*448+414 = 7582. + +The cover-map total is separate from these native wrappers: + +| Component | Per replica | All sixteen replicas | +| --- | ---: | ---: | +| Current-chart local repair | 240 | 3,840 | +| Completed stage-2 cleanup | 224 | 3,584 | +| Donor views, three gather/return pairs | 48 | 768 | +| Total | 512 | 8,192 | + +The scalar check reads the exact coefficient of every literal ADD and +SCALE and counts every owned CLEAR. Capture has eight unit ADDs and costs +64. The rest of the local repair costs 20,258. The local subtotal is 20,322. +Only the owned scratch is cleared. Removing the native record lifts changes +none of these scalar operations. + +The cleanup has two alias directions of 9,426 each, a stage-2 query of +4,160, and an error correction of 768. Its subtotal is 23,780. Thus the +sixteen repair and cleanup words cost + + 16*(20322+23780) = 705632. + +One full-W bridge contains 224 physical field swaps. Each costs three unit +complex ADDs and one sign SCALE, or 26 real primitives. The first six +bridges therefore cost 6*224*26=34,944 per replica. The last three cost +zero in this full-W replacement. Across all replicas, the full replacement +bridge cost is 559,104. It must replace the old bridge bill, not be added +as an increment to that bill. + +The resulting scalar subtotal is + + 705632+559104 = 1264736. + +This subtotal excludes all retained source calls, helper and idle work, +recursive native-child costs, native wrapper and cover-address costs, +the final common translation, and precision costs. No donor productive +credit or improvement in kappa is inferred from these component counts. + +## Reproduction and remaining review inputs + +```sh +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 VECLIB_MAXIMUM_THREADS=1 python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py +``` + +The status is `PASS_ORDERED_DIRTY_RECORD_COMPOSITION`. This is a small +static and algebra check of the actual outer word. It imports no producer. +It does not rerun the owner census, the complete native source suite, or +either independent local-word replay. The local repair review is pinned at +`17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4`. +The literal cleanup review is pinned at +`74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993`. + +The actual donor-path review and all-output dirt audit remain separate. +Their results must be read from their own frozen receipts. The remaining +output maps, new recursive child hosting, stream realization, and precision +remain open. Earlier precision guards do not transfer to this word. This +review establishes no supplier or kappa improvement. OpenAI Codex was used +for this independent review. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py new file mode 100644 index 0000000000..4bdd9ae63a --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py @@ -0,0 +1,458 @@ +"""Check the interfaces and costs of the two-cut dirty-record composition. + +Read frozen packets. Do not import or run a producer or reconstruct its +owner census. The literal local-word reviews remain separate premises. +""" + +from collections import Counter +from copy import deepcopy +from fractions import Fraction +from hashlib import sha256 +import gzip +import json +from pathlib import Path +import shutil +import tarfile + + +HERE = Path(__file__).resolve().parent +ROOT = Path('/Users/aliromman/Projects/IntegerMultiplicationBounds') +LANES = ROOT/'work/centre-encoding-campaign-20261014/lanes' +PACK = HERE.parent.parent +RESIDUAL = LANES/'residual-syndrome/physical-algebra/eight-record-review-20261015' +CONSUMER = PACK.parent/'common-f-review-20261015' +A = (0, 7, 20, 27, 36, 46, 57, 111) +PINS = {} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def read(path, expected=None): + raw = path.read_bytes() + digest = sha256(raw).hexdigest() + if expected is not None: + need(digest == expected, 'Pin: '+str(path)) + PINS[str(path.relative_to(ROOT))] = digest + return json.loads(raw) if path.suffix == '.json' else raw.decode() + + +def manifest(path, expected): + value = read(path, expected) + result = {} + for name, pin in value['files'].items(): + if isinstance(pin, dict): + pin = pin['sha256'] + result[name] = read(path.parent/name, pin) + return result + + +def apply(columns, vector): + result = 0 + while vector: + bit = vector & -vector + result ^= columns[bit.bit_length()-1] + vector ^= bit + return result + + +def inverse_pair(columns, inverse): + need(len(columns) == len(inverse) == 73, '73-axis matrices') + need(all(apply(columns, inverse[i]) == 1 << i and + apply(inverse, columns[i]) == 1 << i for i in range(73)), 'Matrix inverse') + need(inverse == [sum(((column >> i) & 1) << j for j, column in enumerate(columns)) + for i in range(73)], 'Orthogonal matrix transpose') + + +def phase(axes, translation=0): + linear = [2*((translation >> i) & 1) for i in range(73)] + quadratic = set() + for vector in axes: + support = [i for i in range(73) if (vector >> i) & 1] + for i in support: + linear[i] = (linear[i]+1) % 4 + for at, i in enumerate(support): + for j in support[at+1:]: + key = i, j + if key in quadratic: + quadratic.remove(key) + else: + quadratic.add(key) + return tuple(linear), frozenset(quadratic) + + +def phase_add(a, b): + return tuple((x+y) % 4 for x, y in zip(a[0], b[0])), a[1] ^ b[1] + + +def phase_at(value, character): + total = sum(value[0][i] for i in range(73) if (character >> i) & 1) + total += 2*sum(((character >> i) & 1) and ((character >> j) & 1) for i, j in value[1]) + return total % 4 + + +def scalar_bill(events): + counts, costs, coefficients = Counter(), Counter(), Counter() + for event in events: + op = event['op'] + counts[op] += 1 + if op == 'clear': + costs[op] += 2 + elif op in ('add', 'scale'): + coefficient = Fraction(event['c']) + n, d = abs(coefficient.numerator), coefficient.denominator + need(n and not n & (n-1) and not d & (d-1), 'Dyadic-unit coefficient') + coefficients[op+':'+str(coefficient)] += 1 + if op == 'add': + costs[op] += 2*(2+n.bit_length()+n.bit_count()+d.bit_length()-1) + else: + costs[op] += 2*(abs(n.bit_length()-d.bit_length())+(coefficient < 0)) + return {'event_counts': dict(sorted(counts.items())), + 'scalar_by_op': dict(sorted(costs.items())), + 'scalar_allowance': sum(costs.values()), + 'coefficients': dict(sorted(coefficients.items()))} + + +def add(a, b, factor=1): + out = dict(a) + for key, value in b.items(): + out[key] = out.get(key, 0)+factor*value + if not out[key]: + del out[key] + return out + + +def product(a, b): + out = {} + for left, av in a.items(): + for right, bv in b.items(): + word = left+right + if any(word[i:i+2] == ('G', 'E') for i in range(len(word)-1)): + continue + out[word] = out.get(word, 0)+av*bv + return {word: value for word, value in out.items() if value} + + +def matrix_product(a, b): + return [[add(product(a[i][0], b[0][j]), product(a[i][1], b[1][j])) + for j in range(2)] for i in range(2)] + + +def outer_check(outer, template, allocation, cuts, repair, cleanup): + expected_procedures = {'capture':repair['capture'], 'repair':repair['repair'][8:], + 'cleanup':cleanup['cleanup']} + need(outer['procedures'] == expected_procedures, 'Exact procedures and removed E1 lifts') + schedule, old = outer['schedule'], template['execution_schedule'] + anchors = [(i,e['old_event']) for i,e in enumerate(schedule) if 'old_event' in e] + need([at for _,at in anchors] == list(range(482)) and anchors[0][0] == 0, 'All old events once in order') + need(len(old) == 482 and template['private_namespace']['centers'] == [14336,14344], 'Actual old namespace') + rows = {r:sorted((e for e in allocation['selected'] if e['role']//8 == r), key=lambda e:e['role']) for r in range(16)} + cut_by_event = {} + for r, cut in cuts.items(): + for name, key in [('capture','capture_after_event'),('repair','repair_after_event'),('cleanup','cleanup_after_event')]: + need(cut[key] not in cut_by_event, 'Separate boundary anchors') + cut_by_event[cut[key]] = r,name + bridge_ordinals = Counter() + protected = {} + live = set() + peak = 0 + active_exclusions = 0 + lease_trace = [] + levels = {(r,pair):-1 for r in range(16) for pair in range(4)} + for at, (position, _) in enumerate(anchors): + entry, source = schedule[position], old[at] + end = anchors[at+1][0] if at+1 < len(anchors) else len(schedule) + tail = schedule[position+1:end] + kind, replica = source['kind'], source.get('replica') + if kind == 'bridge': + number = bridge_ordinals[replica] + bridge_ordinals[replica] += 1 + src, dst = source['src'], source['dst'] + need(levels[replica,src] == levels[replica,dst], 'Actual bridge levels') + if number < 6: + need(entry == dict(op='physical_pair_swap',old_event=at,replica=replica,src_pair=src,dst_pair=dst, + ports=list(range(112)),ordered_scalar_word=['a+=b','b-=a','a+=b','b=-b']), 'Actual full-W swap binding') + if protected.get(replica) in (src,dst): + protected[replica] = dst if protected[replica] == src else src + else: + need(entry == dict(op='omit_full_W_bridge',old_event=at), 'Last three bridge omissions') + elif kind in ('terminal','terminal_Y_translations'): + need(entry == dict(op='omit_full_W_terminal',old_event=at), 'Full-W terminal omission') + else: + need(entry == dict(op='retained_event',old_event=at), 'Retained old event') + if kind == 'local_cover_sweep': + call = template['calls'][source['time']] + need(call['replica'] == replica and call['stage'] == source['stage'], 'Actual call identity') + owners = [e[0] for e in call['owners'][:224]] + need(owners == list(range(896*replica+224*call['pair'],896*replica+224*(call['pair']+1))), 'Actual data family layout') + if replica in protected: + kept = set(range(896*replica+224*protected[replica],896*replica+224*(protected[replica]+1))) + need(not kept.intersection(owners), 'No later actual active owner reads protected pair') + active_exclusions += 1 + need(call['stage'] == 0 or levels[replica,call['pair']] == call['stage']-1, 'Actual active entrance') + levels[replica,call['pair']] = call['stage'] + elif kind == 'idle_cover_sweep': + need(levels[replica,source['pair']] == source['from_level'], 'Actual idle entrance') + levels[replica,source['pair']] = source['to_level'] + if at in cut_by_event: + r, name = cut_by_event[at] + need(r == replica, 'Boundary replica') + if name in ('capture','repair'): + need(kind == 'local_cover_sweep' and source['stage'] == (0 if name == 'capture' else 1), 'F0/B1 boundary') + need(template['calls'][source['time']]['pair'] == 0, 'First-pair boundary') + pair = 0 + else: + need(kind == 'idle_cover_sweep' and source['pair'] == 1 and source['to_level'] == 2 and + protected.get(r) == 1 and source['source_event'] == 5, 'Full pair parked at completed U2 cut') + pair = 1 + donor_rows = rows[r] + call_positions = [i for i,e in enumerate(tail) if e['op'] == 'call_procedure'] + need(len(call_positions) == 1, 'One complete local procedure at boundary') + call_at = call_positions[0] + invocation = tail[call_at] + expected_bindings = {side+str(p):896*r+224*pair+112*s+p for s,side in enumerate(('X','Y')) for p in range(112)} + expected_bindings.update({'R'+str(p):row['family'] for p,row in zip(A,donor_rows)}) + expected_bindings['C'] = 14336 + need(invocation == dict(op='call_procedure',name=name,bindings=expected_bindings), 'Actual procedure owner binding') + need(len(set(expected_bindings.values())) == 233, 'No alias among data, donors and old C0') + gather = [dict(op='donor_cover_map',field=row['family'],columns=row['U_inverse_columns']) for row in donor_rows] + returns = [dict(op='donor_cover_map',field=row['family'],columns=row['U_columns']) for row in donor_rows] + def adapters(index): + return [dict(op='native_adapter',field=row['family'],recipe=row['adapters'][index]) for row in donor_rows + if row['adapters'][index]['axes'] or row['adapters'][index]['translation']] + before = ([] if name == 'capture' else adapters(0 if name == 'repair' else 1))+gather + after = returns+(adapters(2) if name == 'cleanup' else []) + need(tail[:call_at] == before, 'Adapter before gather and exact inverse cover direction') + need(tail[call_at+1:] == after, 'Return before A3 and restoration before next old event') + if name == 'capture': + live.add(r) + peak = max(peak,8*len(live)) + elif name == 'repair': + need(r in live, 'Repair within donor lease') + protected[r] = 0 + else: + need(r in live, 'Erase within donor lease') + live.remove(r) + lease_trace.append({'old_event':at,'replica':r,'boundary':name,'live_donors_after':8*len(live)}) + elif at == 480: + need(kind == 'bank_padding_cover_sweep' and old[481]['kind'] == 'translate_every_live_family', 'Actual final endpoint placement') + need(tail == [dict(op='positive_X_lines',replicas=list(range(16)),pair=0,ports=list(range(112)),rank=1)], 'Endpoint after tail and before common translation') + need(not live and protected == {r:0 for r in range(16)}, 'Restored first pairs before final lines') + else: + need(tail == [], 'No unpriced or late operation between old events') + need(not live and peak == 48 and bridge_ordinals == Counter({r:9 for r in range(16)}), 'All leases and bridge instances') + return {'old_events':len(anchors),'local_calls':len(template['calls']), 'procedure_calls':48, + 'protected_active_owner_exclusions':active_exclusions, 'peak_live_borrowed_donors':peak, + 'restoration_deadline':'Each cleanup block returns donors and applies A3 before the next original event.', + 'owned_scratch_family':14336,'lease_trace':lease_trace} + + +def main(): + need(shutil.disk_usage(HERE).free >= 3*1024**3, 'Three GiB free') + donors = manifest(PACK/'TWO-CUT-MANIFEST.json', + 'bae5f1cb0f3738b7246be3e26f88c8c872a0e17cf4054b527dc74d25cf2837b0') + local = manifest(PACK/'EIGHT-RECORD-MANIFEST.json', + '6ff0c36e99b09cd475e970436819a177c3d82e365c9a1d63904ce05e4388113f') + own = manifest(HERE.parent/'MANIFEST.json', + '4c834b51aae5cbaedbf61fe9b8c1939047fbc0271a6bef667c1a203e70220c64') + cleanup = read(RESIDUAL/'DELAYED-CLEANUP-ONE-C-WORD.json', + 'bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880') + read(RESIDUAL/'DELAYED-CLEANUP.md', + 'de6c40e4b2f8280dd5406e7ccfbe8a8adbe476b379404403b5b0d8dd73224d04') + local_review = read(RESIDUAL/'REVIEW.json', + '17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4') + need(local_review['status'] == 'PASS_INDEPENDENT_EIGHT_RECORD_REPAIR' and + local_review['files']['producer/eight-records/EIGHT-RECORD-WORDS.json'] == + '8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4', 'Independent local repair review') + cleanup_review = read(LANES/'residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json', + '74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993') + need(cleanup_review['status'] == 'PASS_INDEPENDENT_CONDITIONAL_DELAYED_DIRTY_RECORD_CLEANUP', 'Independent cleanup review') + need(cleanup_review['producer_words']['DELAYED-CLEANUP-ONE-C-WORD.json'] == + 'bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880', 'Reviewed cleanup word binding') + outer_files = manifest(PACK/'DIRTY-CONSUMER-MANIFEST.json', + 'a83988bfbef25e613391af95fd5f4829994b327b8b10cd62277d31f9df751213') + outer = outer_files['consumer/DIRTY-CONSUMER-WORD.json'] + archive_path = ROOT/'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' + archive_hash = sha256(archive_path.read_bytes()).hexdigest() + need(archive_hash == 'f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6', 'Selected archive pin') + PINS[str(archive_path.relative_to(ROOT))] = archive_hash + with tarfile.open(archive_path) as archive: + compressed = archive.extractfile('candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz').read() + need(sha256(compressed).hexdigest() == '2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760', 'Actual global template pin') + template = json.loads(gzip.decompress(compressed)) + consumer = read(CONSUMER/'CONSUMER.word.json', + 'dcab2956719da84a4284f03bbc02ea02d121998582261b0a3fde50dc56e5f13a') + consumer_review = read(PACK.parent/'common-f-independent-review-20261015/REVIEW.json', + 'a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef') + need(consumer_review['status'] == 'PASS_INDEPENDENT_COMMON_F_FOLLOWTHROUGH_REVIEW', 'Independent full-W consumer review') + need(own['ALGEBRA.json']['status'] == 'PASS_EIGHT_DIRTY_DONOR_ECHO_ALGEBRA', 'Frozen dirty algebra') + packet = donors['TWO-CUT-DONORS.json'] + allocation = packet['allocations']['all'] + selected = allocation['selected'] + need(sorted(row['role'] for row in selected) == list(range(128)), 'All record roles') + need(len({row['family'] for row in selected}) == 128, 'Distinct donors') + cuts = {row['replica']: row for row in packet['rows']} + profile, cut_profiles = Counter(), [Counter(), Counter(), Counter()] + translations = standalone = wrapper_count = 0 + reversed_map = premature_adapter = None + for row in selected: + need(0 <= row['family'] < 14336, 'An old donor family') + interval = cuts[row['role']//8] + bounds = [interval[name] for name in ('capture_after_event', 'repair_after_event', 'cleanup_after_event')] + need(bounds[0] < bounds[1] < bounds[2], 'Three ordered cuts') + axes, shifts = [], [] + for index, path in enumerate(row['paths']): + need(all(bounds[index] < entry['event'] <= bounds[index+1] for entry in path), 'Path lies within cuts') + axes.append([v for entry in path for v in entry['axes']]) + shift = 0 + for entry in path: + shift ^= entry['translation'] + shifts.append(shift) + need(len(set(axes[0]+axes[1])) == len(axes[0]+axes[1]), 'Disjoint old native axes') + wanted = row['desired_axes'] + need(len(wanted[0]) == len(wanted[1]) == 8 and not set(wanted[0]) & set(wanted[1]), 'Disjoint desired blocks') + U, Uinv = row['U_columns'], row['U_inverse_columns'] + inverse_pair(U, Uinv) + need(U[9:17] == wanted[0] and U[17:25] == wanted[1], 'Same forward map at both cuts') + native = [phase(axes[i], shifts[i]) for i in range(2)] + desired = [phase(wanted[i]) for i in range(2)] + adapters = [] + for index, adapter in enumerate(row['adapters']): + rank = len(adapter['axes']) + adapters.append(phase(adapter['axes'], adapter['translation'])) + translations += bool(adapter['translation']) + standalone += bool(adapter['translation'] and not rank) + if rank: + profile[rank] += 1 + cut_profiles[index][rank] += 1 + wrapper_count += 2 + need(adapter['left_columns'][:rank] == adapter['axes'], 'Wrapper native block') + inverse_pair(adapter['left_columns'], adapter['right_columns']) + need(all(phase_add(adapters[i], native[i]) == desired[i] for i in range(2)), 'Both complete cut phases') + need(phase_add(adapters[2], phase_add(*desired)) == phase_add(*native), 'Exact baseline restoration phase') + if reversed_map is None and set(Uinv[9:17]) != set(wanted[0]): + reversed_map = {'role': row['role'], 'family': row['family'], + 'expected_D1': wanted[0], 'wrong_D1': Uinv[9:17]} + adapter = row['adapters'][2] + conjugated = phase([apply(Uinv, v) for v in adapter['axes']], apply(Uinv, adapter['translation'])) + if premature_adapter is None and adapters[2] != conjugated: + characters = [1 << i for i in range(73)] + characters += [(1 << i) | (1 << j) for i in range(73) for j in range(i+1, 73)] + character = next(c for c in characters if phase_at(adapters[2], c) != phase_at(conjugated, c)) + premature_adapter = {'role': row['role'], 'family': row['family'], 'character': character, + 'physical_adapter_phase': phase_at(adapters[2], character), + 'required_gathered_adapter_phase': phase_at(conjugated, character)} + need(profile == Counter({1:200, 2:7}), 'All three adapter profiles') + need(wrapper_count == 414 and translations == 107 and standalone == 0, 'All adapter maps and translations') + need(reversed_map is not None and premature_adapter is not None, 'Direction controls') + + repair = local['eight-records/EIGHT-RECORD-WORDS.json']['dirty_eight_A_before_cleanup'] + need(repair['capture'] == [dict(op='add', dst='R'+str(p), src='X'+str(p), c='1') for p in A], 'Dirty capture has no CLEAR') + expected_lifts = [dict(op='stage', field='R'+str(p), rank=8, sign=1, stage=1) for p in A] + need(repair['repair'][:8] == expected_lifts, 'Exactly eight replaced record lifts') + local_events = repair['capture']+repair['repair'][8:] + need(not any(e['op'] == 'stage' for e in local_events), 'No double record advance') + need(all(e['field'] == 'C' for e in local_events if e['op'] == 'clear'), 'No data or donor CLEAR') + local_bill = scalar_bill(local_events) + cleanup_bill = scalar_bill(cleanup['cleanup']) + need(local_bill['scalar_allowance'] == 20322 and local_bill['event_counts']['map'] == 240, 'Repair subtotal') + need(cleanup_bill['scalar_allowance'] == 23780 and cleanup_bill['event_counts']['map'] == 224, 'Cleanup subtotal') + need(cleanup['cleanup'] == cleanup['alias_shear']+cleanup['current_stage2_query']+ + cleanup['inverse_alias_shear']+cleanup['selected_error_correction'], 'Complete cleanup order') + need(all(e['field'] == 'C' for e in cleanup['cleanup'] if e['op'] == 'clear'), 'Owned cleanup scratch only') + + I, E, G = {():1}, {('E',):1}, {('G',):1} + B = [[I,E],[G,I]] + inverse = [[add(I,product(E,G)),{('E',):-1}],[{('G',):-1},I]] + identity = [[I,{}],[{},I]] + need(matrix_product(inverse,B) == identity and matrix_product(B,inverse) == identity, + 'Two-sided Schur inverse under G E=0') + + full = consumer['variants']['whole_pair_112'] + need(full['retired_ports'] == list(range(112)) and full['return_after_repair'] == [], 'Full-W consumer') + need(consumer['final_three_bridges_on_retired_ports'] == [] and consumer['terminal_on_retired_ports'] == [], 'Late omitted events') + bridge = full['port_swap_each_first_six_bridge'] + fields = [side+'_'+bank+':'+str(p) for p in range(112) for side in ('X','Y') for bank in ('src','dst')] + values = {field: {field:1} for field in fields} + for event in bridge: + if event['op'] == 'add': + values[event['dst']] = add(values[event['dst']], values[event['src']], Fraction(event['c'])) + elif event['op'] == 'scale': + values[event['field']] = {key: Fraction(event['c'])*value for key,value in values[event['field']].items()} + else: + raise ValueError('Physical swap event') + for p in range(112): + for side in ('X','Y'): + for bank, other in [('src','dst'),('dst','src')]: + need(values[side+'_'+bank+':'+str(p)] == {side+'_'+other+':'+str(p):1}, 'Arbitrary physical swap') + bridge_bill = scalar_bill(bridge) + need(6*bridge_bill['scalar_allowance'] == 34944, 'Full nine-bridge replacement subtotal') + endpoint = full['final_pair0_X_correction'] + need(endpoint == [dict(field='X'+str(p),op='line',port=p,rank=1,sign=1) for p in range(112)], 'Positive endpoint lines') + line_count = sum(e['op'] == 'line' for e in local_events) + need(line_count == 112, 'Positive Y repair lines') + need([e for e in local_events if e['op'] == 'line'] == + [dict(field='Y'+str(p),op='line',port=p,rank=1,sign=1) for p in range(112)], 'Literal positive Y lines') + schedule_check = outer_check(outer,template,allocation,cuts,repair,cleanup) + schedule_controls = {} + for mutation in ('reverse_capture_cover','A3_before_return','keep_synthetic_record_lift','partial_W_swap'): + changed = deepcopy(outer) + events = changed['schedule'] + if mutation == 'reverse_capture_cover': + index = next(i for i,e in enumerate(events) if e['op'] == 'donor_cover_map') + events[index]['columns'] = selected[0]['U_columns'] + elif mutation == 'A3_before_return': + cleanup_at = cuts[3]['cleanup_after_event'] + start = next(i for i,e in enumerate(events) if e.get('old_event') == cleanup_at) + end = next(i for i in range(start+1,len(events)) if 'old_event' in events[i]) + call_at = next(i for i in range(start+1,end) if events[i]['op'] == 'call_procedure') + adapter_at = next(i for i in range(call_at+1,end) if events[i]['op'] == 'native_adapter') + events.insert(call_at+1,events.pop(adapter_at)) + elif mutation == 'keep_synthetic_record_lift': + changed['procedures']['repair'].insert(0,repair['repair'][0]) + else: + event = next(e for e in events if e['op'] == 'physical_pair_swap') + event['ports'] = list(A) + try: + outer_check(changed,template,allocation,cuts,repair,cleanup) + except ValueError as error: + schedule_controls[mutation] = str(error) + else: + raise ValueError('Ineffective outer-word control: '+mutation) + total_profile = profile+Counter({1:16*(line_count+len(endpoint))}) + totals = {'native_profile': dict(sorted(total_profile.items())), + 'native_mass': sum(rank*count for rank,count in total_profile.items()), + 'native_wrappers': wrapper_count+2*16*(line_count+len(endpoint)), + 'cover_maps': 16*(240+224)+6*128, + 'local_scalar_allowance': 16*(20322+23780), + 'bridge_scalar_allowance': 16*34944, + 'scalar_total_before_native_and_address_costs': 16*(20322+23780+34944), + 'standalone_adapter_translations': standalone} + need(totals['native_mass'] == 3798 and totals['native_wrappers'] == 7582 and + totals['cover_maps'] == 8192, 'Global component invoice') + outer_invoice = outer_files['consumer/DIRTY-CONSUMER.json']['component_invoice'] + for reported,actual in [('added_native_profile','native_profile'),('added_native_mass','native_mass'), + ('added_native_wrappers','native_wrappers'),('ordinary_and_donor_cover_maps','cover_maps'), + ('local_scalar_allowance','local_scalar_allowance'),('full_modified_bridge_scalar_allowance','bridge_scalar_allowance')]: + expected = totals[actual] + if isinstance(expected,dict): + expected = {str(k):v for k,v in expected.items()} + need(outer_invoice[reported] == expected, 'Outer receipt subtotal: '+reported) + result = {'status':'PASS_ORDERED_DIRTY_RECORD_COMPOSITION', 'source_pins':PINS, + 'coverage':'Actual 482-event outer word, boundary owner bindings, exact adapter phases, arbitrary-input block composition, physical swaps, and literal scalar counts. No donor census or local-word replay.', + 'donor_roles':128, 'donor_views':'At each cut gather with U^-1 and return with U. Apply A3 after return.', + 'adapter_profiles_by_cut':[dict(sorted(c.items())) for c in cut_profiles], + 'adapter_translations':translations, 'local_bill':local_bill, 'cleanup_bill':cleanup_bill, + 'one_bridge_bill':bridge_bill, 'totals':totals, + 'negative_controls':{'reverse_cover_direction':reversed_map,'A3_before_donor_return':premature_adapter}, + 'outer_word_checks':schedule_check,'outer_word_negative_controls':schedule_controls, + 'outstanding_review_inputs':['Independent actual donor-path review','Separate all-output dirt audit']} + path = HERE/'CHECK.json' + path.write_text(json.dumps(result,indent=2,sort_keys=True)+'\n') + print(json.dumps({'status':result['status'],'receipt_sha256':sha256(path.read_bytes()).hexdigest(),'totals':totals},sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/check_dirty_consumer.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/check_dirty_consumer.py new file mode 100644 index 0000000000..88f13c43b1 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/check_dirty_consumer.py @@ -0,0 +1,315 @@ +"""Bind the dirty repair, two-cut donor paths, and delayed full-W erase. + +Keep the exact local programs as shared procedures. Emit their physical +owner bindings and order in the actual schedule. Do not claim new child +hosting or a complete supplier invoice. +""" + +import argparse +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +import gzip +import importlib.util +import json +from pathlib import Path +import tarfile + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +REPO = HERE.parents[4] +MATH = LANES / 'paired-package-review/upstream-followthrough-20261015/check_restoration.py' +CLEANUP = LANES / 'residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json' +ARCHIVE = REPO / 'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' +MEMBER = 'candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz' +PINS = { + 'source_math': (MATH, '8c6fb324aa898f86b3edbd85252570a2dc43c40455887f789a153191645686ca'), + 'local_words': (HERE / 'eight-records/EIGHT-RECORD-WORDS.json', '8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4'), + 'donor_paths': (HERE / 'TWO-CUT-DONORS.json', '1769aa102c41b5d81dfc463a64eacb6742601b52c30d566ed0222d8ac99e2d70'), + 'cleanup': (CLEANUP, 'bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880'), + 'archive': (ARCHIVE, 'f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6'), +} + + +def need(ok, text): + if not ok: + raise ValueError(text) + + +def encoded(value): + return json.dumps(value, sort_keys=True, separators=(',', ':')).encode()+b'\n' + + +def price(word): + scalar = 0 + counts = Counter(e['op'] for e in word) + for e in word: + if e['op'] == 'clear': + scalar += 2 + elif e['op'] in ('add', 'scale'): + c = Q(e['c']) + a, b = abs(c.numerator), c.denominator + if e['op'] == 'add': + scalar += 2*(2+a.bit_length()+a.bit_count()+b.bit_length()-1) + else: + scalar += 2*(abs(a.bit_length()-b.bit_length())+(c < 0)) + return {'scalar_allowance': scalar, 'cover_maps': counts['map'], + 'event_counts': dict(sorted(counts.items()))} + + +def replay(m, programs, R, A, T, U, routes, mutation=None): + x, y = m.unit_bank('x:'), m.unit_bank('y:') + x1, y1 = m.forward(x, y, R, A, T, U) + rows = {f'X{p}': x1[p] for p in range(112)} + rows.update({f'Y{p}': y1[p] for p in range(112)}) + frames = {f'X{p}': m.OLD for p in range(112)} + frames.update({f'Y{p}': m.OLD+((routes[1, p]['q'], -1),) for p in range(112)}) + h = {p: {(f'donor:{p}', ()): Q(1)} for p in A} + for p in A: + rows[f'R{p}'], frames[f'R{p}'] = h[p], m.OLD + rows['C'], frames['C'] = {('private:', ()): Q(1)}, () + helpers = {f'H{p}': {(f'helper:{p}', ()): Q(1)} for p in range(480)} + rows.update(helpers) + frames.update({field: () for field in helpers}) + m.execute(programs['capture'], rows, frames, routes, set()) + x2, y2 = m.backward(x1, y1, R, A, T, U, 1, 2) + for p in range(112): + rows[f'X{p}'], frames[f'X{p}'] = x2[p], m.CURRENT + rows[f'Y{p}'], frames[f'Y{p}'] = y2[p], m.CURRENT+((routes[1, p]['q'], -1),) + # A1 K1 supplies this frame. No synthetic E1 child is run here. + for p in A: + frames[f'R{p}'] = m.CURRENT + m.execute(programs['repair'], rows, frames, routes, set()) + full2 = tuple((v, 1) for v in m.AXES[:25]) + for field in rows: + if field[0] in ('X', 'Y', 'R'): + frames[field] = full2 + if mutation == 'missing_second_donor_advance': + frames[f'R{A[0]}'] = m.CURRENT + # This is the logical content after the proved whole-pair parking. + # Only the owned scratch is discarded. The donor values stay arbitrary. + private = False + for event in programs['cleanup']: + op = event['op'] + if op == 'private_begin': + need(not private, 'One private cleanup body') + private = True + elif op == 'private_end': + need(private and not rows['C'] and m.phase(frames['C']) == m.phase(()), 'Cleanup scratch return') + private = False + elif op == 'clear': + need(private and event['field'] == 'C', 'No borrowed CLEAR') + need(event['frame'] in ('common_F_U2', 'identity'), 'Exact cleanup frame label') + rows['C'] = {} + frames['C'] = full2 if event['frame'] == 'common_F_U2' else () + elif op == 'add': + dst, src = event['dst'], event['src'] + need('C' not in (dst, src) or private, 'Owned scratch access') + need(m.phase(frames[dst]) == m.phase(frames[src]), 'Cleanup physical ADD frame') + if mutation == 'omit_data_error_correction' and dst == f'X{A[0]}' and src == f'R{A[0]}': + continue + rows[dst] = m.rowadd(rows[dst], rows[src], Q(event['c'])) + elif op == 'map': + need(not private, 'Complete cover map outside private sweep') + field, letter = event['field'], tuple(event['letter']) + r = routes[letter] + need(tuple(event['g']) == r['g'], 'Actual cleanup owner map') + frames[field] = m.transport(frames[field], tuple(event['g']), event['shift']) + rows[field] = m.route(rows[field], letter) + else: + raise ValueError('Unexpected cleanup operation') + need(not private, 'Complete cleanup') + for p in range(112): + need(rows[f'X{p}'] == x[p] and rows[f'Y{p}'] == y[p], 'All data and donor coefficients return') + need(all(rows[f'R{p}'] == h[p] for p in A), 'All arbitrary donors return') + need(not rows['C'] and all(rows[field] == value for field, value in helpers.items()), 'Scratch and inherited helper endpoints') + need(all(m.phase(frames[field]) == m.phase(full2) for field in rows if field[0] in ('X', 'Y', 'R')), 'All local common F_U2 endpoints') + result = {field: [[source, list(word), str(c)] for (source, word), c in sorted(row.items())] + for field, row in sorted(rows.items())} + return sha256(encoded(result)).hexdigest() + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + raw = {} + for name, (path, digest) in PINS.items(): + raw[name] = path.read_bytes() + need(sha256(raw[name]).hexdigest() == digest, 'Pinned source '+name) + spec = importlib.util.spec_from_file_location('retained_math', MATH) + m = importlib.util.module_from_spec(spec) + spec.loader.exec_module(m) + _, R, A, T, U, routes = m.load() + source = json.loads(raw['local_words'])['dirty_eight_A_before_cleanup'] + cleanup = json.loads(raw['cleanup']) + procedures = {'capture': source['capture'], + 'repair': [event for event in source['repair'] if event['op'] != 'stage'], + 'cleanup': cleanup['cleanup']} + removed = [event for event in source['repair'] if event['op'] == 'stage'] + need(len(removed) == 8 and all(event['stage'] == 1 and event['rank'] == 8 and event['sign'] == 1 for event in removed), 'Replace exactly eight E1 record children') + local_hash = replay(m, procedures, R, A, T, U, routes) + controls = {} + for label in ('missing_second_donor_advance', 'omit_data_error_correction'): + try: + replay(m, procedures, R, A, T, U, routes, label) + except ValueError as error: + controls[label] = str(error) + else: + raise ValueError('Ineffective composition control') + with tarfile.open(ARCHIVE) as archive: + member = archive.extractfile(MEMBER).read() + need(sha256(member).hexdigest() == '2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760', 'Pinned selected template') + template = json.loads(gzip.decompress(member)) + need(template['private_namespace']['centers'] == [14336, 14344], 'Old owned private namespace') + donors = json.loads(raw['donor_paths']) + chosen = donors['allocations']['all'] + by_replica = {replica: sorted((row for row in chosen['selected'] if row['role']//8 == replica), key=lambda row: row['role']) for replica in range(16)} + need(len({row['family'] for row in chosen['selected']}) == 128, 'Distinct donor families') + schedule, intervals = [], [] + protected = {} + captured, cleaned = set(), set() + live, peak = set(), 0 + levels = {(r, pair): -1 for r in range(16) for pair in range(4)} + + def bindings(replica, pair): + out = {f'{side}{p}': 896*replica+224*pair+112*index+p for index, side in enumerate(('X', 'Y')) for p in range(112)} + out.update({f'R{p}': row['family'] for p, row in zip(A, by_replica[replica])}) + out['C'] = 14336 + return out + + def donor_block(replica, phase): + rows = by_replica[replica] + if phase == 'capture': + return [{'op': 'donor_cover_map', 'field': row['family'], 'columns': row['U_inverse_columns']} for row in rows] + return [{'op': 'donor_cover_map', 'field': row['family'], 'columns': row['U_columns']} for row in rows] + + def adapter_block(replica, index): + return [{'op': 'native_adapter', 'field': row['family'], 'recipe': row['adapters'][index]} + for row in by_replica[replica] if row['adapters'][index]['axes'] or row['adapters'][index]['translation']] + + for at, event in enumerate(template['execution_schedule']): + kind, replica = event['kind'], event.get('replica') + if kind == 'local_cover_sweep': + call = template['calls'][event['time']] + stage, pair = call['stage'], call['pair'] + need(stage == event['stage'] and call['replica'] == replica, 'Literal active call binding') + need(stage == 0 or levels[replica, pair] == stage-1, 'Actual active entrance level') + need(stage < 2 or protected.get(replica) != pair, 'No later active call reads parked pair') + levels[replica, pair] = stage + elif kind == 'idle_cover_sweep': + need(levels[replica, event['pair']] == event['from_level'], 'Actual idle entrance level') + levels[replica, event['pair']] = event['to_level'] + if kind == 'bridge': + src, dst = event['src'], event['dst'] + need(levels[replica, src] == levels[replica, dst], 'Physical bridge native levels') + if event['source_event'] <= 18: + schedule.append({'op': 'physical_pair_swap', 'old_event': at, 'replica': replica, + 'src_pair': src, 'dst_pair': dst, 'ports': list(range(112)), + 'ordered_scalar_word': ['a+=b', 'b-=a', 'a+=b', 'b=-b']}) + if protected.get(replica) == src: + protected[replica] = dst + elif protected.get(replica) == dst: + protected[replica] = src + else: + schedule.append({'op': 'omit_full_W_bridge', 'old_event': at}) + elif kind in ('terminal', 'terminal_Y_translations'): + schedule.append({'op': 'omit_full_W_terminal', 'old_event': at}) + else: + if kind == 'translate_every_live_family': + need(len(cleaned) == 16 and all(protected[r] == 0 for r in range(16)), 'All original first pairs return before endpoint correction') + schedule.append({'op': 'positive_X_lines', 'replicas': list(range(16)), 'pair': 0, + 'ports': list(range(112)), 'rank': 1}) + schedule.append({'op': 'retained_event', 'old_event': at}) + row = donors['rows'][replica] if replica is not None else None + if row is not None and at == row['capture_after_event']: + need(kind == 'local_cover_sweep' and event['stage'] == 0, 'Capture after actual F0') + schedule += donor_block(replica, 'capture') + schedule.append({'op': 'call_procedure', 'name': 'capture', 'bindings': bindings(replica, 0)}) + schedule += donor_block(replica, 'return') + captured.add(replica) + live.add(replica) + peak = max(peak, 8*len(live)) + if row is not None and at == row['repair_after_event']: + need(replica in captured and kind == 'local_cover_sweep' and event['stage'] == 1, 'Repair after actual B1') + schedule += adapter_block(replica, 0) + schedule += donor_block(replica, 'capture') + schedule.append({'op': 'call_procedure', 'name': 'repair', 'bindings': bindings(replica, 0)}) + schedule += donor_block(replica, 'return') + protected[replica] = 0 + if row is not None and at == row['cleanup_after_event']: + need(kind == 'idle_cover_sweep' and event['source_event'] == 5 and levels[replica, 1] == 2, 'Actual delayed full-U2 cut') + need(protected[replica] == 1, 'The whole coded pair is in the idle bank') + schedule += adapter_block(replica, 1) + schedule += donor_block(replica, 'capture') + schedule.append({'op': 'call_procedure', 'name': 'cleanup', 'bindings': bindings(replica, 1)}) + schedule += donor_block(replica, 'return') + schedule += adapter_block(replica, 2) + cleaned.add(replica) + live.remove(replica) + intervals.append([replica, row['capture_after_event'], row['repair_after_event'], at]) + need(not live and len(cleaned) == 16, 'Every donor use ends') + need(sum(event['op'] == 'physical_pair_swap' for event in schedule) == 96, 'All six pair swaps per replica') + need(sorted(event['old_event'] for event in schedule if 'old_event' in event) == list(range(482)), + 'Every old event has one retained or replacement entry') + bills = {name: price(word) for name, word in procedures.items()} + need(bills['capture']['scalar_allowance']+bills['repair']['scalar_allowance'] == 20322, 'Dirty repair scalar bill') + need(bills['cleanup']['scalar_allowance'] == 23780, 'One-C erase scalar bill') + profile = Counter() + scalar = maps = bridge_scalar = translations = standalone = 0 + for event in schedule: + op = event['op'] + if op == 'call_procedure': + word = procedures[event['name']] + scalar += bills[event['name']]['scalar_allowance'] + maps += bills[event['name']]['cover_maps'] + profile.update(e['rank'] for e in word if e['op'] in ('line', 'stage')) + elif op == 'native_adapter': + recipe = event['recipe'] + if recipe['axes']: + profile[len(recipe['axes'])] += 1 + translations += int(recipe['translation'] != 0) + standalone += int(recipe['translation'] != 0 and not recipe['axes']) + elif op == 'positive_X_lines': + profile[1] += len(event['replicas'])*len(event['ports']) + elif op == 'donor_cover_map': + maps += 1 + elif op == 'physical_pair_swap': + bridge_scalar += 2*len(event['ports'])*(3*8+2) + invoice = {'added_native_profile': dict(sorted(profile.items())), + 'added_native_mass': sum(rank*count for rank, count in profile.items()), + 'added_native_wrappers': 2*sum(profile.values()), + 'ordinary_and_donor_cover_maps': maps, + 'local_scalar_allowance': scalar, + 'full_modified_bridge_scalar_allowance': bridge_scalar, + 'added_owned_record_families': 0, 'distinct_borrowed_donors': 128, + 'peak_borrowed_donors': peak, 'reused_old_owned_C_field': 14336, + 'new_adapter_translation_components': translations, + 'standalone_adapter_translation_maps': standalone} + need(invoice['added_native_mass'] == 3798 and invoice['added_native_wrappers'] == 7582 + and invoice['ordinary_and_donor_cover_maps'] == 8192 and invoice['local_scalar_allowance'] == 705632, 'Complete added component counts') + packet = {'schema': 'exact_procedure_table_and_owner_schedule_v1', 'procedures': procedures, + 'schedule': schedule, 'source_pins': {name: digest for name, (_, digest) in PINS.items()}, + 'scope': 'Full-W first-pair retirement with arbitrary borrowed records. Other outputs and new recursive child hosting are not proved.'} + args.out.mkdir(parents=True, exist_ok=True) + payload = encoded(packet) + (args.out / 'DIRTY-CONSUMER-WORD.json').write_bytes(payload) + result = {'status': 'PASS_TWO_CUT_DIRTY_RECORD_CONSUMER', 'source_pins': packet['source_pins'], + 'word_sha256': sha256(payload).hexdigest(), 'all_local_output_rows_sha256': local_hash, + 'local_data_columns': 224, 'arbitrary_donor_columns': 8, 'arbitrary_owned_C_columns': 1, + 'inherited_helper_columns': 480, 'raw_completed_first_pair_outputs': 3584, + 'original_schedule_events': 482, 'record_intervals': intervals, + 'procedure_invoices': bills, 'component_invoice': invoice, 'negative_controls': controls, + 'inherited_premises': ['Exact QQ16 F0/B1 source and complete arbitrary helper contracts', + 'Whole-pair common-F consumer and final raw-X line correction', + 'Pinned two-cut native owner transport and phase identities'], + 'not_proved': ['New recursive child workspace hosting', 'Other three-pair output map', + 'Complete scalar/native stream and control invoice', 'Rounding and recursive precision', + 'Complete supplier or kappa change']} + (args.out / 'DIRTY-CONSUMER.json').write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + print(json.dumps({'status': result['status'], 'component_invoice': invoice}, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/check_two_cut_donors.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/check_two_cut_donors.py new file mode 100644 index 0000000000..60f1711dea --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/check_two_cut_donors.py @@ -0,0 +1,235 @@ +"""Check two-cut dirty donor paths in the pinned owner schedule. + +Use complete helper jobs. Keep arbitrary donor values. This file does +not prove the delayed data consumer or the new child hosting contract. +""" + +import argparse +from collections import Counter, defaultdict +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +REVIEW = HERE.parent / 'common-f-independent-review-20261015/review_followthrough.py' +PIN = 'c0dba20c069fa72c4d50df808649110b9b18c660c6e43efdea041fc5bca8d647' + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + if sha256(REVIEW.read_bytes()).hexdigest() != PIN: + raise ValueError('Review source pin') + spec = importlib.util.spec_from_file_location('source_review', REVIEW) + m = importlib.util.module_from_spec(spec) + spec.loader.exec_module(m) + data = m.source_data() + _, _, partition = m.prepare_jobs(data) + template = data['template'] + recipes = data['phases']['recipes'] + events, calls = template['execution_schedule'], template['calls'] + position = {e['time']: i for i, e in enumerate(events) if e['kind'] == 'local_cover_sweep'} + deadlines = {(e['replica'], child): i for i, e in enumerate(events) + if e['kind'] == 'idle_cover_sweep' for child in e['child_indices']} + histories = defaultdict(list) + for index, job in enumerate(template['hosting']['pooled_slots']): + child = recipes[job['port']]['idle_children'][job['child']] + axes = child['orthogonal_axes'][job['offset']:job['offset']+job['width']] + histories[job['family']].append({'event': position[job['time']], 'kind': 'helper', + 'index': index, 'axes': axes, 'translation': 0}) + for index, job in enumerate(template['idle_children']): + child = recipes[job['port']]['idle_children'][job['child']] + axes = child['orthogonal_axes'][job['pending_offset']:] + histories[job['family']].append({'event': deadlines[job['replica'], job['child']], + 'kind': 'suffix', 'index': index, + 'axes': axes, 'translation': 0}) + touches = defaultdict(set) + for at, e in enumerate(events): + kind = e['kind'] + if kind == 'local_cover_sweep': + for family, _ in calls[e['time']]['owners'][:224]: + touches[family].add(at) + elif kind == 'idle_cover_sweep': + for side, child in enumerate(e['child_indices']): + for port in range(112): + family = m.family(e['replica'], e['pair'], side, port) + histories[family].append({'event': at, 'kind': 'translation', 'index': child, + 'axes': [], 'translation': recipes[port]['idle_children'][child]['translation_after']}) + elif kind == 'bridge': + for pair in (e['src'], e['dst']): + for side in range(2): + for port in range(112): + touches[m.family(e['replica'], pair, side, port)].add(at) + elif kind in ('terminal', 'terminal_Y_translations'): + for family in range(896*e['replica'], 896*(e['replica']+1)): + touches[family].add(at) + for family in histories: + histories[family].sort(key=lambda row: (row['event'], row['kind'] == 'translation')) + + # The proposed full-W erase writes the parked pair at this idle cut. + # These are new scalar uses. The donor census must exclude them. + for at, e in enumerate(events): + if e['kind'] == 'idle_cover_sweep' and e['source_event'] == 5: + for side in range(2): + for port in range(112): + touches[m.family(e['replica'], 1, side, port)].add(at) + + rows = [] + for replica in range(16): + low, cut = [next(i for i, e in enumerate(events) if e['kind'] == 'local_cover_sweep' + and e['replica'] == replica and e['stage'] == stage) for stage in (0, 1)] + high = next(i for i, e in enumerate(events) if e['kind'] == 'idle_cover_sweep' + and e['replica'] == replica and e['source_event'] == 5) + candidates = [] + for family in range(14336): + if any(low < at <= high for at in touches[family]): + continue + parts = [[row for row in histories[family] if a < row['event'] <= b] + for a, b in ((low, cut), (cut, high))] + axes = [[v for row in part for v in row['axes']] for part in parts] + flat = axes[0]+axes[1] + m.need(len(flat) == len(set(flat)), 'No repeated donor native axis') + m.need(all((a & b).bit_count() % 2 == int(i == j) + for i, a in enumerate(flat) for j, b in enumerate(flat)), 'Orthogonal donor paths') + ranks = list(map(len, axes)) + extra = sum(max(r-8, 0) for r in ranks) + missing = sum(max(8-r, 0) for r in ranks) + candidates.append({'family': family, 'ranks': ranks, + 'minimum_adapter_mass': 2*max(extra, missing), + 'paths': parts}) + candidates.sort(key=lambda row: (row['minimum_adapter_mass'], row['family'])) + safe = [row for row in candidates if (row['family']//224) % 4 in (2, 3)] + histogram = Counter(tuple(row['ranks']) for row in candidates) + rows.append({'replica': replica, 'capture_after_event': low, 'repair_after_event': cut, + 'cleanup_after_event': high, 'candidate_count': len(candidates), + 'zero_adapter_count': sum(row['minimum_adapter_mass'] == 0 for row in candidates), + 'safe_zero_adapter_count': sum(row['minimum_adapter_mass'] == 0 for row in safe), + 'best_mass': candidates[0]['minimum_adapter_mass'], + 'safe_best_mass': safe[0]['minimum_adapter_mass'], + 'rank_histogram': {','.join(map(str, key)): value for key, value in sorted(histogram.items())}, + 'best_candidates': candidates[:256], 'safe_best_candidates': safe[:256]}) + + # Distinct families are sufficient. This does not rely on interval reuse. + allocations = {} + for name, field in [('all', 'best_candidates'), ('pair23', 'safe_best_candidates')]: + for bound in range(0, 33, 2): + selected = {} + candidates = {8*row['replica']+k: [r['family'] for r in row[field] + if r['minimum_adapter_mass'] <= bound] for row in rows for k in range(8)} + + def augment(role, seen): + for family in candidates[role]: + if family in seen: + continue + seen.add(family) + if family not in selected or augment(selected[family], seen): + selected[family] = role + return True + return False + + if all(augment(role, set()) for role in range(128)): + allocation = [] + profile = Counter() + inherited_profile = Counter() + maps = translations = standalone_translations = 0 + for family, role in sorted(selected.items(), key=lambda item: item[1]): + replica, k = divmod(role, 8) + row = next(r for r in rows[replica][field] if r['family'] == family) + recipe = recipes[family % 112] + basis = [recipe['q']]+recipe['idle_children'][0]['orthogonal_axes'][:8]+[1 << i for i in range(9, 73)] + actual = [set(v for job in part for v in job['axes']) for part in row['paths']] + wanted = [set(sorted(part, key=basis.index)[:8]) for part in actual] + for side in (0, 1): + spare = sorted(actual[1-side]-wanted[1-side], key=basis.index) + wanted[side].update(spare[:8-len(wanted[side])]) + unused = [v for v in basis if v not in actual[0] | actual[1]] + for side in (0, 1): + take = 8-len(wanted[side]) + wanted[side].update(unused[:take]) + del unused[:take] + m.need(len(wanted[0]) == len(wanted[1]) == 8 and not wanted[0] & wanted[1], 'Two disjoint desired advances') + shift = [] + for part in row['paths']: + value = 0 + for job in part: + value ^= job['translation'] + shift.append(value) + + def adapter(positive, negative, translation): + axes = sorted(positive ^ negative, key=basis.index) + for v in negative-positive: + translation ^= v + return {'axes': axes, 'translation': translation, + 'phase': list(m.polynomial(tuple((v, 1) for v in axes)+((translation, 2),)))} + + adapters = [adapter(wanted[s], actual[s], shift[s]) for s in (0, 1)] + adapters.append(adapter(actual[0] | actual[1], wanted[0] | wanted[1], shift[0] ^ shift[1])) + native = [m.polynomial(tuple((v, 1) for v in actual[s])+((shift[s], 2),)) for s in (0, 1)] + desired = [m.polynomial(tuple((v, 1) for v in wanted[s])) for s in (0, 1)] + m.need(all(m.phase_sum(native[s], tuple(adapters[s]['phase'])) == desired[s] for s in (0, 1)), 'Exact phase at both repair cuts') + m.need(m.phase_sum(m.phase_sum(*desired), tuple(adapters[2]['phase'])) == m.phase_sum(*native), 'Exact donor restoration phase') + mass = sum(len(a['axes']) for a in adapters) + m.need(mass == row['minimum_adapter_mass'], 'Constructive adapter bound') + for a in adapters: + if a['axes']: + profile[len(a['axes'])] += 1 + maps += 2 + a['left_columns'] = a['axes']+[v for v in basis if v not in a['axes']] + a['right_columns'] = [sum(((v >> i) & 1) << j for j, v in enumerate(a['left_columns'])) for i in range(73)] + m.need(all((a['left_columns'][i] & a['left_columns'][j]).bit_count() % 2 == int(i == j) + for i in range(73) for j in range(73)), 'Canonical native adapter isometry') + translations += int(a['translation'] != 0) + standalone_translations += int(a['translation'] != 0 and not a['axes']) + for part in row['paths']: + for job in part: + if job['axes']: + inherited_profile[len(job['axes'])] += 1 + source_indices = list(range(9, 25))+list(range(9))+list(range(25, 73)) + target_axes = sorted(wanted[0], key=basis.index)+sorted(wanted[1], key=basis.index)+[v for v in basis if v not in wanted[0] | wanted[1]] + columns = [0]*73 + for index, vector in zip(source_indices, target_axes): + columns[index] = vector + m.need(all((a & b).bit_count() % 2 == int(i == j) for i, a in enumerate(columns) for j, b in enumerate(columns)), 'One exact orthogonal cover map') + allocation.append({'role': role, **row, 'U_columns': columns, + 'U_inverse_columns': [sum(((v >> i) & 1) << j for j, v in enumerate(columns)) for i in range(73)], + 'desired_axes': [sorted(part, key=basis.index) for part in wanted], + 'adapters': adapters}) + allocations[name] = {'maximum_adapter_mass': bound, 'profile': dict(sorted(profile.items())), + 'mass': sum(rank*count for rank, count in profile.items()), + 'native_wrappers': maps, 'translations': translations, + 'standalone_translation_maps': standalone_translations, + 'record_cover_maps': 6*128, + 'inherited_profile': dict(sorted(inherited_profile.items())), + 'inherited_mass': sum(rank*count for rank, count in inherited_profile.items()), + 'selected': allocation} + break + m.need(name in allocations, 'Distinct donor allocation') + controls = [] + for index, label in [(0, 'drop_first_cut_adapter'), (1, 'drop_second_cut_adapter'), + (2, 'drop_donor_restoration')]: + witness = next(row for row in allocations['all']['selected'] if row['adapters'][index]['phase'] != [0, 0, 0]) + m.need(tuple(witness['adapters'][index]['phase']) != (0, 0, 0), label) + controls.append({'mutation': label, 'role': witness['role'], 'detected_phase': witness['adapters'][index]['phase']}) + witness = allocations['all']['selected'][0] + first = m.polynomial(tuple((v, 1) for v in witness['desired_axes'][0])) + second = m.polynomial(tuple((v, 1) for v in witness['desired_axes'][1])) + m.need(first != second, 'Interchanged cut advances fail') + controls.append({'mutation': 'interchange_two_cut_assignments', 'role': witness['role'], + 'first_phase': list(first), 'wrong_phase': list(second)}) + output = {'status': 'PASS_TWO_CUT_DONOR_CENSUS', 'source_review_sha256': PIN, + 'scope': 'Native path and conditional adapter count only; no delayed consumer or new child hosting.', + 'partition': partition, 'rows': rows, 'allocations': allocations, 'negative_controls': controls} + args.out.write_text(json.dumps(output, indent=2, sort_keys=True)+'\n') + print(json.dumps({'status': output['status'], 'zero_adapter_counts': [r['zero_adapter_count'] for r in rows], + 'safe_zero_adapter_counts': [r['safe_zero_adapter_count'] for r in rows], + 'best_masses': [r['best_mass'] for r in rows], + 'safe_best_masses': [r['safe_best_mass'] for r in rows], + 'allocations': {name: {key: value for key, value in packet.items() if key != 'selected'} + for name, packet in allocations.items()}}, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/consumer/DIRTY-CONSUMER-WORD.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/consumer/DIRTY-CONSUMER-WORD.json new file mode 100644 index 0000000000..7e44834d7a --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/consumer/DIRTY-CONSUMER-WORD.json @@ -0,0 +1 @@ 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diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/emit_eight_records.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/emit_eight_records.py new file mode 100644 index 0000000000..06848d4ae6 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/emit_eight_records.py @@ -0,0 +1,181 @@ +"""Emit and check a common-frame repair with eight A records. + +The accepted QQ16 source contracts and native line recipes are inputs. +The new word uses a current-chart read to replace the eight T records. +""" + +import argparse +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +PACKET = HERE.parents[1] / 'paired-package-review/upstream-followthrough-20261015' +SOURCE = PACKET / 'check_restoration.py' +PIN = '8c6fb324aa898f86b3edbd85252570a2dc43c40455887f789a153191645686ca' + + +def build(m, R, A, T, U, routes, dirty): + capture, repair = [], [] + def emit(op, **fields): + repair.append(dict(op=op, **fields)) + for p in A: + if not dirty: + capture.append(dict(op='clear', field=f'R{p}', frame='old')) + capture.append(dict(op='add', dst=f'R{p}', src=f'X{p}', c='1')) + emit('stage', field=f'R{p}', sign=1, rank=8, stage=1) + for p in range(112): + emit('line', field=f'Y{p}', port=p, sign=1, rank=1) + for prefix, ports in (('Y', tuple(range(112))), ('X', T)): + for p in ports: + r = routes[1, p] + emit('map', field=f'{prefix}{p}', letter=[1, p], g=list(r['g']), shift=r['shift']) + for p in T: + emit('add', dst=f'Y{p}', src=f'X{p}', c='1') + for p in T: + emit('scale', field=f'X{p}', c='-1') + emit('add', dst=f'X{p}', src=f'Y{p}', c='1') + for q in A + U: + c = sum(R[k][p] * R[k][q] for k in range(8)) / 4 + if c: + emit('add', dst=f'X{p}', src=f'Y{q}', c=str(c)) + emit('private_begin') + for k in range(8): + emit('clear', field='C', frame='current') + for p in T: + if R[k][p]: + emit('add', dst='C', src=f'X{p}', c=str(R[k][p])) + for p in U: + if R[k][p]: + emit('add', dst=f'Y{p}', src='C', c=str(-R[k][p] / 4)) + emit('clear', field='C', frame='identity') + emit('private_end') + for prefix, ports in (('X', T), ('Y', tuple(range(112)))): + for p in ports: + r = routes[1, p] + emit('map', field=f'{prefix}{p}', letter=[1, p], g=list(r['g']), + shift=m.action(r['g'], r['shift'])) + for p in A: + emit('add', dst=f'Y{p}', src=f'X{p}', c='1') + emit('add', dst=f'X{p}', src=f'R{p}', c='1') + emit('add', dst=f'R{p}', src=f'X{p}', c='-1') + emit('add', dst=f'X{p}', src=f'R{p}', c='1') + if dirty: + emit('add', dst=f'R{p}', src=f'X{p}', c='1') + else: + emit('clear', field=f'R{p}', frame='identity') + for p in U: + emit('add', dst=f'X{p}', src=f'Y{p}', c='1') + emit('add', dst=f'Y{p}', src=f'X{p}', c='-1') + repair.extend(m.x_inverse_gates(R, A, T, U, routes, 0)) + for p in A + T: + emit('add', dst=f'Y{p}', src=f'X{p}', c='-1') + return capture, repair + + +def replay(m, R, A, T, U, routes, capture, repair, dirty): + x, y = m.unit_bank('x:'), m.unit_bank('y:') + x1, y1 = m.forward(x, y, R, A, T, U) + rows = {f'X{p}': x1[p] for p in range(112)} + rows.update({f'Y{p}': y1[p] for p in range(112)}) + frames = {f'X{p}': m.OLD for p in range(112)} + frames.update({f'Y{p}': m.OLD + ((routes[1, p]['q'], -1),) for p in range(112)}) + h = {p: {(f'h:{p}', ()): Q(1)} for p in A} + for p in A: + rows[f'R{p}'], frames[f'R{p}'] = h[p], m.OLD if dirty else () + rows['C'], frames['C'] = {('scratch:', ()): Q(1)}, () + helper = {f'H{p}': {(f'helper:{p}', ()): Q(1)} for p in range(480)} + rows.update(helper) + frames.update({f: () for f in helper}) + allowed = set() if dirty else {f'R{p}' for p in A} + m.execute(capture, rows, frames, routes, allowed) + x2, y2 = m.backward(x1, y1, R, A, T, U, 1, 2) + for p in range(112): + rows[f'X{p}'], frames[f'X{p}'] = x2[p], m.CURRENT + rows[f'Y{p}'], frames[f'Y{p}'] = y2[p], m.CURRENT + ((routes[1, p]['q'], -1),) + m.execute(repair, rows, frames, routes, allowed) + err_x = {p: {} for p in range(112)} + if dirty: + err_x.update({p: m.rowscale(h[p], Q(-1)) for p in A}) + err_x.update(m.inject(m.query(h, A, R, 0), T, R, 0)) + for p in range(112): + m.need(rows[f'X{p}'] == m.rowadd(x[p], err_x[p]), 'X output: ' + str(p)) + m.need(rows[f'Y{p}'] == m.rowadd(y[p], err_x[p], -1), 'Y output: ' + str(p)) + m.need(m.phase(frames[f'X{p}']) == m.phase(m.CURRENT), 'X full frame') + m.need(m.phase(frames[f'Y{p}']) == m.phase(m.CURRENT), 'Y full frame') + future = m.inject(m.query(y1, T + U, R, 2), A, R, 2) + for p in A: + m.need(rows[f'R{p}'] == (m.rowadd(h[p], future[p]) if dirty else {}), + 'Record endpoint: ' + str(p)) + m.need(not rows['C'], 'Owned scratch clear') + m.need(all(rows[f] == row for f, row in helper.items()), 'Arbitrary helpers unchanged') + result = {field: [[s, list(w), str(c)] for (s, w), c in sorted(row.items())] + for field, row in sorted(rows.items())} + return sha256(m.encoded(result)).hexdigest() + + +def price(word): + counts = Counter(e['op'] for e in word) + ranks = Counter(e['rank'] for e in word if e['op'] in ('line', 'stage')) + scalar = 0 + for e in word: + if e['op'] == 'clear': + scalar += 2 + elif e['op'] in ('add', 'scale'): + c = Q(e['c']) + a, b = abs(c.numerator), c.denominator + if e['op'] == 'add': + scalar += 2 * (2 + a.bit_length() + a.bit_count() + b.bit_length() - 1) + else: + scalar += 2 * (abs(a.bit_length() - b.bit_length()) + (c < 0)) + return {'event_counts': dict(sorted(counts.items())), 'native_profile': dict(sorted(ranks.items())), + 'native_mass': sum(r * n for r, n in ranks.items()), 'wrappers': 2 * sum(ranks.values()), + 'cover_maps': counts['map'], 'scalar_allowance': scalar} + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + if sha256(SOURCE.read_bytes()).hexdigest() != PIN: + raise ValueError('Source module pin') + spec = importlib.util.spec_from_file_location('retained_math', SOURCE) + m = importlib.util.module_from_spec(spec) + spec.loader.exec_module(m) + source, R, A, T, U, routes = m.load() + programs, cases = {}, {} + for name, dirty in (('owned_eight_A', False), ('dirty_eight_A_before_cleanup', True)): + capture, repair = build(m, R, A, T, U, routes, dirty) + digest = replay(m, R, A, T, U, routes, capture, repair, dirty) + programs[name] = {'capture': capture, 'repair': repair} + cases[name] = {'all_output_rows_sha256': digest, **price(capture + repair)} + m.need(cases[name]['native_profile'] == {1: 112, 8: 8}, 'Eight-record profile') + m.need(cases[name]['cover_maps'] == 240, 'Current-chart map bill') + capture, repair = build(m, R, A, T, U, routes, False) + bad = list(repair) + bad.remove(next(e for e in bad if e['op'] == 'add' and e.get('dst') == f'X{T[0]}' + and e.get('src', '').startswith('Y') and int(e['src'][1:]) not in T)) + try: + replay(m, R, A, T, U, routes, capture, bad, False) + except ValueError as error: + control = str(error) + else: + raise ValueError('Missing query-term control failed') + args.out.mkdir(parents=True, exist_ok=True) + raw = m.encoded(programs) + b'\n' + (args.out / 'EIGHT-RECORD-WORDS.json').write_bytes(raw) + receipt = {'status': 'PASS_EIGHT_RECORD_CURRENT_QUERY_REPAIR', + 'source_module_sha256': PIN, 'source_certificate_compressed_sha256': m.SOURCE_SHA, + 'programs_sha256': sha256(raw).hexdigest(), 'cases': cases, + 'negative_control': {'missing_T_query_term': control}, + 'scope': 'Exact added local operator and frame words. Dirty case has residual h+N2Y1 and requires cleanup. No new record or child hosting is proved.'} + (args.out / 'EIGHT-RECORD-CHECKS.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(json.dumps({'status': receipt['status'], 'cases': cases}, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/CHECK.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/CHECK.json new file mode 100644 index 0000000000..a9e4d697a7 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/CHECK.json @@ -0,0 +1,77 @@ +{ + "actual_completed_view_recipes": 224, + "cases": { + "dirty_eight_A_before_cleanup": { + "cover_maps": 240, + "event_counts": { + "add": 2026, + "clear": 9, + "line": 112, + "map": 240, + "private_begin": 1, + "private_end": 1, + "scale": 56, + "stage": 8 + }, + "native_mass": 176, + "native_profile": { + "1": 112, + "8": 8 + }, + "native_wrappers": 240, + "output_rows_sha256": "08c4fa80bf874deac372e2e791c316ffb82c04d5297a94238f4b7c4da836bfe4", + "physical_ADD_checks": 2026, + "physical_map_checks": 240, + "scalar_allowance": 20322 + }, + "owned_eight_A": { + "cover_maps": 240, + "event_counts": { + "add": 2018, + "clear": 25, + "line": 112, + "map": 240, + "private_begin": 1, + "private_end": 1, + "scale": 56, + "stage": 8 + }, + "native_mass": 176, + "native_profile": { + "1": 112, + "8": 8 + }, + "native_wrappers": 240, + "output_rows_sha256": "131881d2702881d652d42575af199a88a52dc804ae309de79e606a9231e4a5fa", + "physical_ADD_checks": 2018, + "physical_map_checks": 240, + "scalar_allowance": 20290 + } + }, + "excluded": [ + "New child hosting", + "Record owner allocation", + "Physical stream invoice", + "Recursive precision", + "Dirty record cleanup", + "Complete supplier" + ], + "inherited": [ + "Full original QQ16 core maps and helper native jobs", + "Unchanged positive line and E1 child kernels" + ], + "negative_controls": { + "changed_actual_view_translation": "Literal forward or inverse translation", + "missing_current_query_term": "All original X columns" + }, + "owned_scratch_columns": 1, + "record_columns": 8, + "source_data_columns": 224, + "source_pins": { + "paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "paired-package-review/upstream-followthrough-20261015/common-frame-results/COMMON-F-RESTORATION-WORD.json": "c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e", + "portable-source-codes/dirty-record-hosting-20261015/eight-records/EIGHT-RECORD-WORDS.json": "8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4" + }, + "status": "PASS_INDEPENDENT_EIGHT_RECORD_REPAIR", + "unchanged_helper_columns": 480 +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-MANIFEST.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-MANIFEST.json new file mode 100644 index 0000000000..fba6d1509f --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-MANIFEST.json @@ -0,0 +1,16 @@ +{ + "files": { + "CHECK.json": "31da36ae73f8f1164027030ab2b80bf04112387d77bfc21373810990292b035f", + 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diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP.json new file mode 100644 index 0000000000..bd030e0408 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP.json @@ -0,0 +1,55 @@ +{ + "additional_owned_work_fields": 0, + "arbitrary_donor_columns": 8, + "checks": { + "physical_ADD_checks": 2596, + "physical_map_checks": 224 + }, + "cleanup_word_sha256": "bf3df2f047e4edb26ce2b73d3919db862f1cd630ee90fda5f3144469bdde7883", + "data_columns": 224, + "excluded": [ + "A two-cut donor allocation", + "Donor boundary view cost", + "Complete stream cost", + "Rounding and recursive precision", + "Supplier claim" + ], + "independent_local_engine_sha256": "51cb8354f817ca877583b6982bb553a7472ac21a34bfa0cf90f701b3bdc491d4", + "invoice": { + "cover_maps": 224, + "event_counts": { + "add": 2596, + "map": 224, + "scale": 96 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar_allowance": 25152 + }, + "negative_controls": { + "omitted_baseline_data_correction_is_not_identity": true, + "unadvanced_donor_is_rejected": "ADD uses one physical frame: R0 <- Y1" + }, + "premises": [ + "Park the entire coded pair through F2 and advance it to common F_U2", + "A consistent donor view matches F_E1 by repair and then F_E2 by cleanup", + "No active donor use before cleanup; whole arbitrary-input helper jobs are allowed" + ], + "query_coefficients": { + "-1/2": 264, + "1/2": 152 + }, + "scalar_parts": { + "N2_read": 4160, + "each_F0_content_direction": 10112, + "selected_error_correction": 768, + "source_code_inverse": 9088 + }, + "source_pins": { + "paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "portable-source-codes/dirty-record-hosting-20261015/eight-records/EIGHT-RECORD-WORDS.json": "8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4" + }, + "status": "PASS_CONDITIONAL_DELAYED_DIRTY_A_CLEANUP", + "unchanged_helper_columns": 480 +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP.md new file mode 100644 index 0000000000..2491fa48a7 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP.md @@ -0,0 +1,192 @@ +# Delayed restoration of the eight dirty A records + +The dirty eight-record repair has a later cleanup at a common completed +stage-2 cut. The cleanup restores all 224 original data values and all +eight arbitrary donor values. It uses the actual ordered stage-2 query. +It does not use a clean-record assumption. + +There are two literal cleanup words. The first uses no work field and +has scalar allowance 25,152. The second reuses the one owned scratch +field from the local repair and has allowance 23,780. Each word has 224 +complete stage-2 cover maps and no native child. The owner views that +put the donors at this cut have a separate cost and proof obligation. + +This is a conditional construction. It does not supply a donor allocation +or prove the other data-bank outputs. It does not give a full supplier +or kappa bound. The literal words have producer checks; independent +review of this continuation is a separate step. + +## Exact state after the local repair + +Use the source sets A, T, U and the eight-record word reviewed in +`REVIEW.md`. Write z=(x,y) for the arbitrary original logical data and +h for the arbitrary eight record values in their F_L coordinates. +The dirty word gives + + d=z+E h, r=h+G z. + +The fixed selected error map is + + E_X,A h=-h, E_Y,A h=h, + E_X,T h=P0T ell0A h, E_Y,T h=-P0T ell0A h, + E_U h=0. + +Define the off-A source alias V by + + (Vz)_U=y_U+x_U-K0U R0 x, + (Vz)_T=y_T+x_T-P0T R0 x. + +Then G=N2 V, with N2=P2A R2offA. All route order is retained. In +particular, N2 is the future stage-2 read, not the current stage-1 read. + +The error map preserves every selected sum x_p+y_p and has R0 E_X=0. +It follows at once that V E=0 and hence G E=0. Therefore + + r-Gd=h, d-E(r-Gd)=z. + +These equations alone do not admit physical access. The next two +sections give the required cut and a literal access word. + +## The completed cut and donor transport + +Use the already reviewed full-W consumer, with W equal to all 112 +ports. Its first physical bank swap parks the coded pair in pair 1 +during the next F2 call. The complete pair-1 idle then advances the +parked fields to common frame F_U2. The second swap can occur after +the cleanup. The earlier consumer proof applies to arbitrary physical +parked fields, including z+E h. It does not require their logical +contents to be independent of a donor. + +This continuation uses the full-W case. Parking only A union T is not +enough: the cleanup reads every off-A source value at the same cut. +The active F2 call must not consume the parked coded pair. Whole helper +jobs are permitted only through their complete arbitrary-input contract. +That contract has zero cross-dependence between the helper and active +outputs. No partial helper cut is used. + +Each donor has two actual native intervals. Let T1 be its complete +physical map from capture to the post-B1 repair. Let T2 be its map from +that repair to cleanup. Let C0, C1, C2 be the separately priced boundary +views that align this donor at the three cuts. They may include a cover +isometry and exact phase adapters. The required identities are + + C1 T1 C0^-1 = F_U1 F_L^-1, + C2 T2 C1^-1 = F_U2 F_U1^-1. + +The same owner and the same chosen cover isometry must be used in both +identities. All translations and adapter phases are part of these +equalities. A final rank-16 match alone does not imply either equality. + +For an arbitrary original physical donor a, put h=F_L^-1 C0 a. Capture +adds F_L u_A in the C0 view. At the repair, the C1 view gives +F_U1(h+u_A). The dirty local word then leaves F_U1(h+Gz). After the +second native interval, the C2 view gives F_U2(h+Gz). The cleanup below +returns F_U2 h. Removing C2 gives exactly T2 T1 a, the donor value that +its original jobs require. Its arbitrary original input is preserved. + +No data, bridge, terminal, or other untracked donor use can occur before +cleanup. Complete helper jobs can occur if their exact endpoint maps +are included in T1 or T2. The donor cannot alias a live local data role +inside the same invocation. An actual allocation must check these +conditions. An unchanged strictly idle donor has T1=I and does not +satisfy the first identity without an additional nontrivial adapter. + +If one fixed monomial donor map M is enough, the special case is +C0=C1=C2=M^-1. In a literal implementation, gather and return the eight +donors at each of the three cuts. This adds 48 donor-view maps per +replica. More general phase adapters have their own native invoice. +None of these donor costs is included in the cleanup counts below. + +## A cleanup with no work field + +At common F_U2 every constant scalar operation on the data fields is +legal. Let F0_content be the scalar content map of the old F0 call, +without its native frame change. It is an invertible map on arbitrary +X and Y values. Apply F0_content to d. Its off-A Y coordinates are Vd. + +Gather those 104 Y fields and the eight A donors in the completed +stage-2 chart. Apply r-=N2 Y_offA directly. Return all 112 fields from +their views. Apply F0_content^-1 to the data. The donor is now h because +Vd=Vz. Finally apply d-=E h by scalar ADDs on A and T. This restores z. + +The literal scalar source-code inverse is the pinned 970-event block +in the accepted repair. Its inverse implements the source part of +F0_content. The target part consists of the selected-sum updates and +ordinary target ADDs. Thus the construction uses no new matrix-inverse +oracle and no extra query buffer. + +The exact actual coefficient counts are: + +- each F0_content direction: scalar allowance 10,112; +- N2: 416 coefficients equal to plus or minus one half, allowance 4,160; +- minus E: 16 unit ADDs and 64 half ADDs, allowance 768. + +The total is 25,152, with 224 stage-2 views and no new native child or +work field. The literal word is `DELAYED-CLEANUP-WORD.json`. + +## A cheaper cleanup with the existing owned C + +Only the off-A Y alias is needed. Keep X fixed and apply the shear + + Y_offA += X_offA-P0offA R0 X. + +At each owner, the existing owned C forms one of the eight R0 X rows. +It then supplies that row's quarter responses to Y_offA. Clear C before +each row and return it to zero in the identity frame before the next +owner. Every source X and target Y has common frame F_U2 at this cut. + +After this shear, perform the same completed-stage N2 read into the +donors. Undo the Y shear and apply minus E from the restored donors. +No data or donor is cleared. The only discarded input is the explicitly +owned scratch baseline, which may be arbitrary. + +Each alias direction has 448 unit query ADDs, 416 quarter-response +ADDs, 104 unit Y ADDs, and nine owned clears. Its allowance is 9,426. +The whole cleanup has allowance + + 2*9426+4160+768 = 23780. + +It has the same 224 cover maps and zero native mass. The scratch is +reused from the local repair; it adds no physical role. The word is +`DELAYED-CLEANUP-ONE-C-WORD.json`. Its complete private sweep occurs +before or after the cover-map sweeps, not inside them. + +## Exact verification and limits + +The two checkers replay their complete literal words on all 224 data +columns and all eight arbitrary donor columns. They keep distinct +ordered owner routes distinct. They check the actual 73-axis stage-2 +views and every ADD frame as an exact quadratic phase over Z/4Z. +All 480 unused borrowed helpers are preserved. The one-C check also +starts with an independent arbitrary owned scratch input and proves +zero output. There is no assumption of cover-constant data. + +The zero-work checker separately verifies F0_content on all 224 input +columns. The one-C checker separately verifies the alias shear and its +inverse. Controls reject a missing second donor advance and show that +restoring a donor alone does not remove the data error E h. + +Run from the workspace root: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup.py +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup_one_c.py +``` + +The expected statuses are `PASS_CONDITIONAL_DELAYED_DIRTY_A_CLEANUP` +and `PASS_CONDITIONAL_ONE_C_DELAYED_CLEANUP`. Neither checker imports +or runs the portable producer. Both use the separate independent local +review algebra in this directory. + +The reviewed consumer supplies the named parked-data history. A new +donor certificate must supply both cut identities, all owner exclusions, +and all new phase costs. Stream movement, rounding, guard bits, recursive +child hosting, and the other output-bank maps remain open. In particular, +the old common-frame precision table does not cover this later cleanup +or its arbitrary donor-frame conversions. + +The portable-source-codes lane supplied the dirty-record algebra and +the suggestion to use only the Y alias. The retained QQ16 source and +common-frame work supplied the source code and the completed views. +This proof and its literal words were developed with substantial +OpenAI Codex assistance. No PR, push, or commit was made. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.json new file mode 100644 index 0000000000..8a8a1cfc35 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.json @@ -0,0 +1,14 @@ +{ + "files": { + "CHECK.json": "31da36ae73f8f1164027030ab2b80bf04112387d77bfc21373810990292b035f", + "REVIEW.md": "ed3b03a8ce457975be0b4888f26df35f80a2fb1f05af7f08799ba545dd82a708", + "producer/EIGHT-RECORD-MANIFEST.json": "6ff0c36e99b09cd475e970436819a177c3d82e365c9a1d63904ce05e4388113f", + "producer/EIGHT-RECORDS.md": "08de0928ca45caa0d12fd45923807c4c9ecb8809c1e7bf8a7a9daede5b3c7062", + "producer/eight-records/EIGHT-RECORD-CHECKS.json": "352679b3970fb7192a466364561177dc284873253df271032319c046c928dd7f", + "producer/eight-records/EIGHT-RECORD-WORDS.json": "8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4", + "producer/emit_eight_records.py": "c4ef3f2e034670a0bf416396cecc83914008a6692bb66f184fc78d6968e8c1a0", + "review_eight_records.py": "51cb8354f817ca877583b6982bb553a7472ac21a34bfa0cf90f701b3bdc491d4" + }, + "scope": "Full added local maps, arbitrary data and records, actual ordered views, scalar invoice. Raw native kernels and old helper jobs inherited; owner allocation, delayed cleanup, precision and supplier excluded.", + "status": "PASS_INDEPENDENT_EIGHT_RECORD_REPAIR" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.md new file mode 100644 index 0000000000..1bd37d440e --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.md @@ -0,0 +1,141 @@ +# Independent review of the eight-record repair + +Both literal eight-A-record words pass this review. The owned version +returns all 224 original logical data fields in common frame F_U1. Its +added native mass is 176. The dirty version returns the stated coded +data and record residual. It does not restore its borrowed records. + +The word pin is +`8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4`. +The proof pin is +`08de0928ca45caa0d12fd45923807c4c9ecb8809c1e7bf8a7a9daede5b3c7062`. +The accepted local manifest is +`6ff0c36e99b09cd475e970436819a177c3d82e365c9a1d63904ce05e4388113f`. +No producer file was changed. No producer module was imported or run. + +## Ordered data proof + +Use the actual eight-column minors A and T. Put V=A union T. The other +96 ports form U. Write ell_T=R_T pi_T and P_T=iota_T R_T^T/4. The actual +minor gives ell_T P_T=I and P_T ell_T=I on the T coordinates. Each +occurrence has its named stage route on the correct side. + +Let (u,v) be the F0 output and (x2,y2) the B_(1,2) output. The retained +source map gives R1 y2=ell_(1,T) u_T. This is a current-stage query. +It does not identify a current query with a future-stage query. + +After the positive Y lines, gather all Y and X_T fields into the same +completed stage-1 chart. Then use the literal sequence + + Y_T += X_T; + X_T = -X_T+Y_T+P_T R_offT Y_offT. + +The second line gives P_T R1 y2=u_T. The first line keeps the exact +selected sum x2_T+y2_T=u_T+v_T. All off-T Y values must still be the +B1 outputs when the second line runs. The literal word obeys this order. + +The following U correction uses this recovered u_T and gives v_U. The +inverse maps then return to the fixed owner chart. The A exchange uses +only the eight retained A records. The remaining U recovery and the +in-place inverse of the F0 source code give the original x. The final +selected subtraction gives the original y. This is an equality of +ordered routed operators on arbitrary full-cover fields. + +On arbitrary raw input (a,b) before F0, the physical output remains + + (F_U1 Q^-1 a, F_U1 b). + +The initial X line is not removed by this local repair. The two data +banks replace their post-B1 values; those values are not extra outputs. + +## Arbitrary inputs and physical views + +The checker uses exact rational coefficients and free reduced words in +the actual involutive owner routes. It applies the source equations and +each literal new event to 224 independent data columns, eight independent +record columns, one arbitrary owned scratch column, and 480 independent +helper columns. No relation between distinct route words is used. Thus +the check applies to the actual route representation even when that +representation has more relations. + +The checker reconstructs 224 completed view recipes for stages 1 and 2 +from the pinned source certificate. It checks the full 73-axis matrices, +orthogonality, the involution property, the fixed port normal, and the +payload translation. For each frame it keeps the exact Fourier phase +as a quadratic polynomial over Z/4Z. Every new ADD has equal physical +source and target frames. Every map has the actual owner matrix and +translation in the stated order. The scratch is zero in the identity +frame before the next owner body begins. + +The 112 positive line events and eight E1 record lifts are byte-exact +subsets of the already reviewed common-frame word. Their native kernel +proofs are inherited. The complete old QQ16 core maps, native helper +jobs, and eight owned-private clear contracts are also inherited from +the pinned source reviews. This review does not repeat those raw native +proofs. No new event reads or writes a borrowed helper. + +The exact frame equality holds for every Fourier character, so it holds +at each positive tensor width. Orthogonal owner conjugation gives the +same equality at every cover owner. Spectator coordinates are unchanged. +No cover-constant assumption is used. + +## Dirty record result + +For the dirty word, let h be the eight arbitrary A-record inputs in +their F_L coordinates. This is a coordinate choice through an invertible +frame; it is not a zero-input condition. The output data are z+E h and +the records are h+G z, where + + E_X,A h=-h, E_Y,A h=h, + E_X,T h=P0T ell0A h, E_Y,T h=-P0T ell0A h, + E_U h=0, + Gz=P2A R2offA (Y1_offA). + +The source equations, the literal record exchange, and all 232 +data/donor columns give these exact rows. There is no borrowed CLEAR. +The final record is not a clean query and is not its restored baseline. +A later cleanup must supply the actual ordered G read, the required +physical frames, and the full donor lifetime. This receipt does not +admit that later operation. + +## Invoice and application scope + +The literal recount gives the following added local counts. + +| Case | Native profile | Native mass | Native wrappers | Cover maps | Scalar allowance | +| --- | --- | ---: | ---: | ---: | ---: | +| Owned A records | 112 rank 1, 8 rank 8 | 176 | 240 | 240 | 20,290 | +| Dirty A records before cleanup | 112 rank 1, 8 rank 8 | 176 | 240 | 240 | 20,322 | + +The current query replaces eight rank-eight record lifts. It adds 32 +complete cover maps relative to the earlier 104-field gathered block. +The proof does not price a cover map as a scalar primitive. + +The owned version has the same physical endpoint and arbitrary-data +contract as the accepted common-frame repair. Therefore the named +selected-port consumer can use it with its unchanged 112 additional +line children. Its added native mass is 288. This is substitution into +the accepted consumer theorem, not a new owner replay. The stated +32-owned-record peak is inherited from the same four overlapping +capture intervals with eight records per interval. + +New child hosting, record storage, the physical stream invoice, +recursive precision, a dirty-record continuation, the other output +banks, and a complete supplier remain open. There is no kappa claim. + +## Reproduction + +Run from the workspace root with standard-library Python 3: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/review_eight_records.py +``` + +Expected status: `PASS_INDEPENDENT_EIGHT_RECORD_REPAIR`. +The receipt also rejects a missing current-query term and a changed +actual view translation. The checker has no producer imports. + +The source QQ16 maps and common-frame decoder supplied the construction +that this review extends. The portable-source-codes lane supplied the +eight-record word. This review used a separate OpenAI Codex agent. It +is not independent human review. No PR, push, or commit was made. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup.py new file mode 100644 index 0000000000..af8287030b --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup.py @@ -0,0 +1,176 @@ +"""Emit a conditional common-F25 cleanup for eight dirty A records. + +Use the independent local review algebra. Do not import a producer module. +The separate owner condition must match both native intervals. +""" + +from collections import Counter +from fractions import Fraction +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +ENGINE = HERE / 'review_eight_records.py' +ENGINE_PIN = '51cb8354f817ca877583b6982bb553a7472ac21a34bfa0cf90f701b3bdc491d4' + + +def load_engine(): + if sha256(ENGINE.read_bytes()).hexdigest() != ENGINE_PIN: + raise ValueError('Independent algebra pin') + spec = importlib.util.spec_from_file_location('independent_eight_record_algebra', ENGINE) + module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def inverse(word): + answer = [] + for event in reversed(word): + result = dict(event) + coefficient = Fraction(event['c']) + if event['op'] == 'add': + result['c'] = str(-coefficient) + elif event['op'] == 'scale': + result['c'] = str(1 / coefficient) + else: + raise ValueError('The scalar content word has an unsupported event') + answer.append(result) + return answer + + +def build(m, programs, r, routes): + retained = programs['owned_eight_A']['repair'] + end = len(retained) - len(m.A + m.T) + start = end + while start: + event = retained[start - 1] + fields = [event[key] for key in ('field', 'src', 'dst') if key in event] + if event['op'] not in ('add', 'scale') or not all(f.startswith('X') for f in fields): + break + start -= 1 + source_inverse = retained[start:end] + m.require(start == 1459 and end == 2429, 'The pinned F0 source inverse slice') + f0 = [dict(op='add', dst='Y' + str(p), src='X' + str(p), c='1') for p in m.A + m.T] + f0 += inverse(source_inverse) + f0 += [dict(op='add', dst='Y' + str(p), src='X' + str(p), c='1') for p in m.U] + f0 += [dict(op='add', dst='Y' + str(p), src='X' + str(p), c='-1') for p in m.A + m.T] + query = [] + for prefix, ports in (('Y', m.U + m.T), ('R', m.A)): + for p in ports: + g, shift, _ = routes[2, p] + query.append(dict(op='map', field=prefix + str(p), letter=[2, p], + g=list(g), shift=shift)) + for a in m.A: + for p in m.U + m.T: + c = -sum(r[k][a] * r[k][p] for k in range(8)) / 4 + if c: + query.append(dict(op='add', dst='R' + str(a), src='Y' + str(p), c=str(c))) + for prefix, ports in (('R', m.A), ('Y', m.U + m.T)): + for p in ports: + g, shift, _ = routes[2, p] + query.append(dict(op='map', field=prefix + str(p), letter=[2, p], + g=list(g), shift=m.act(g, shift))) + correction = [] + for a in m.A: + correction += [dict(op='add', dst='X' + str(a), src='R' + str(a), c='1'), + dict(op='add', dst='Y' + str(a), src='R' + str(a), c='-1')] + for t in m.T: + for a in m.A: + c = sum(r[k][t] * r[k][a] for k in range(8)) / 4 + if c: + correction += [dict(op='add', dst='X' + str(t), src='R' + str(a), c=str(-c)), + dict(op='add', dst='Y' + str(t), src='R' + str(a), c=str(c))] + return source_inverse, f0, query, correction + + +def main(): + m = load_engine() + import gzip + certificate = json.loads(gzip.decompress(m.pinned( + m.BASE / 'base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7'))) + programs = json.loads(m.pinned(m.INPUT / 'eight-records/EIGHT-RECORD-WORDS.json', + '8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4')) + r = [[Fraction(row.get(str(p), 0)) for p in m.ALL] for row in certificate['R_rows']] + routes = m.parse_routes(certificate) + sinv, f0, query, correction = build(m, programs, r, routes) + cleanup = f0 + query + inverse(f0) + correction + _, start_rows = m.case(programs['dirty_eight_A_before_cleanup'], r, routes, True) + full2 = tuple((v, 1) for v in m.AXES[:25]) + frames = {field: (full2 if field[0] in ('X', 'Y', 'R') else ()) for field in start_rows} + rows = {field: value.copy() for field, value in start_rows.items()} + counters = Counter() + m.execute(cleanup, rows, frames, routes, True, counters) + for p in m.ALL: + m.require(rows['X' + str(p)] == m.symbol(p), 'All final X columns') + m.require(rows['Y' + str(p)] == m.symbol(112 + p), 'All final Y columns') + for at, p in enumerate(m.A): + m.require(rows['R' + str(p)] == m.symbol(224 + at), 'All original donor columns restored') + for field in rows: + if field[0] in ('X', 'Y', 'R'): + m.require(m.phase(frames[field]) == m.phase(full2), 'Complete common-F25 endpoint') + else: + m.require(rows[field] == start_rows[field], 'No scratch or helper use') + # Check the scalar source code without any dirty-state restriction. + ordinary = {'X' + str(p): m.symbol(p) for p in m.ALL} + ordinary.update({'Y' + str(p): m.symbol(112 + p) for p in m.ALL}) + fframes = {field: full2 for field in ordinary} + m.execute(f0, ordinary, fframes, routes, True, Counter()) + expected_x, expected_y = m.source_forward( + {p: m.symbol(p) for p in m.ALL}, {p: m.symbol(112 + p) for p in m.ALL}, r) + m.require(all(ordinary['X' + str(p)] == expected_x[p] and ordinary['Y' + str(p)] == expected_y[p] + for p in m.ALL), 'Literal scalar F0 content on all 224 arbitrary columns') + # The query must be the actual future row. It is unchanged by E h. + query_support = Counter(e['c'] for e in query if e['op'] == 'add') + m.require(sum(query_support.values()) == 416, 'Actual N2 support') + bill = m.invoice(cleanup) + m.require(bill['scalar_allowance'] == 25152 and bill['cover_maps'] == 224, + 'Exact delayed-cleanup invoice') + m.require(bill['native_mass'] == 0 and 'clear' not in bill['event_counts'], + 'No native child, owned CLEAR, or discarded input') + bad_frames = {field: (m.FULL if field.startswith('R') else full2) for field in start_rows} + controls = {} + try: + m.execute(cleanup, {field: value.copy() for field, value in start_rows.items()}, + bad_frames, routes, True, Counter()) + except ValueError as error: + controls['unadvanced_donor_is_rejected'] = str(error) + m.require('unadvanced_donor_is_rejected' in controls, 'The second donor advance is needed') + short = f0 + query + inverse(f0) + bad_rows = {field: value.copy() for field, value in start_rows.items()} + m.execute(short, bad_rows, {field: full2 for field in bad_rows}, routes, True, Counter()) + controls['omitted_baseline_data_correction_is_not_identity'] = any( + bad_rows['X' + str(p)] != m.symbol(p) for p in m.ALL) + m.require(controls['omitted_baseline_data_correction_is_not_identity'], 'Baseline debt is real') + literal = {'contract': 'common F_U2; aligned arbitrary donors; exact parked data z+E h', + 'scalar_F0_content': f0, 'current_stage2_query': query, + 'inverse_scalar_F0_content': inverse(f0), 'data_error_correction': correction, + 'cleanup': cleanup} + word_path = HERE / 'DELAYED-CLEANUP-WORD.json' + word_path.write_text(json.dumps(literal, sort_keys=True, separators=(',', ':')) + '\n') + result = {'status': 'PASS_CONDITIONAL_DELAYED_DIRTY_A_CLEANUP', 'source_pins': m.PINS, + 'independent_local_engine_sha256': ENGINE_PIN, + 'cleanup_word_sha256': sha256(word_path.read_bytes()).hexdigest(), + 'invoice': bill, 'checks': dict(counters), 'query_coefficients': dict(query_support), + 'scalar_parts': {'source_code_inverse': m.invoice(sinv)['scalar_allowance'], + 'each_F0_content_direction': m.invoice(f0)['scalar_allowance'], + 'N2_read': m.invoice(query)['scalar_allowance'], + 'selected_error_correction': m.invoice(correction)['scalar_allowance']}, + 'data_columns': 224, 'arbitrary_donor_columns': 8, 'unchanged_helper_columns': 480, + 'additional_owned_work_fields': 0, 'negative_controls': controls, + 'premises': ['Park the entire coded pair through F2 and advance it to common F_U2', + 'A consistent donor view matches F_E1 by repair and then F_E2 by cleanup', + 'No active donor use before cleanup; whole arbitrary-input helper jobs are allowed'], + 'excluded': ['A two-cut donor allocation', 'Donor boundary view cost', + 'Complete stream cost', 'Rounding and recursive precision', 'Supplier claim']} + output = HERE / 'DELAYED-CLEANUP.json' + output.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + print(sha256(output.read_bytes()).hexdigest()) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup_one_c.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup_one_c.py new file mode 100644 index 0000000000..01ba54b048 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup_one_c.py @@ -0,0 +1,157 @@ +"""Check the delayed cleanup with the existing one-array owned scratch. + +Do not change the zero-work cleanup word. Keep all borrowed inputs. +""" + +from collections import Counter +from fractions import Fraction +from hashlib import sha256 +import gzip +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent + + +def main(): + spec = importlib.util.spec_from_file_location('local_cleanup', HERE / 'check_delayed_cleanup.py') + old = importlib.util.module_from_spec(spec) + spec.loader.exec_module(old) + m = old.load_engine() + certificate = json.loads(gzip.decompress(m.pinned( + m.BASE / 'base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7'))) + programs = json.loads(m.pinned(m.INPUT / 'eight-records/EIGHT-RECORD-WORDS.json', + '8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4')) + r = [[Fraction(row.get(str(p), 0)) for p in m.ALL] for row in certificate['R_rows']] + routes = m.parse_routes(certificate) + _, _, query, correction = old.build(m, programs, r, routes) + full2 = tuple((v, 1) for v in m.AXES[:25]) + + def alias(sign): + word = [dict(op='add', dst='Y' + str(p), src='X' + str(p), c=str(sign)) for p in m.U + m.T] + word.append(dict(op='private_begin')) + for k in range(8): + word.append(dict(op='clear', field='C', frame='common_F_U2')) + for p in m.ALL: + if r[k][p]: + word.append(dict(op='add', dst='C', src='X' + str(p), c=str(r[k][p]))) + for p in m.U + m.T: + if r[k][p]: + word.append(dict(op='add', dst='Y' + str(p), src='C', c=str(-sign * r[k][p] / 4))) + word += [dict(op='clear', field='C', frame='identity'), dict(op='private_end')] + return word + + def run(events, rows, frames): + counts = Counter() + private = False + for event in events: + op = event['op'] + if op == 'add': + dst, src = event['dst'], event['src'] + m.require(m.phase(frames[dst]) == m.phase(frames[src]) or not rows[src], + 'An ADD uses one actual common frame') + rows[dst] = m.plus(rows[dst], rows[src], Fraction(event['c'])) + counts['physical_ADD_checks'] += 1 + elif op == 'map': + m.require(not private, 'Complete map before or after the private sweep') + stage, p = event['letter'] + g, shift, _ = routes[stage, p] + m.require(tuple(event['g']) == g and event['shift'] in (shift, m.act(g, shift)), + 'An actual stage2 view') + field = event['field'] + rows[field] = m.route(rows[field], stage, p) + frames[field] = m.transport(frames[field], g, event['shift']) + counts['physical_map_checks'] += 1 + elif op == 'clear': + m.require(private and event['field'] == 'C', 'Clear only the owned local scratch') + rows['C'] = {} + frames['C'] = full2 if event['frame'] == 'common_F_U2' else () + elif op == 'private_begin': + m.require(not private, 'One owner body at a time') + private = True + elif op == 'private_end': + m.require(private and not rows['C'] and m.phase(frames['C']) == m.phase(()), + 'Scratch is zero/identity before the next owner') + private = False + else: + raise ValueError('Unexpected cleanup event: ' + op) + m.require(not private, 'Complete private sweep') + return counts + + forward, backward = alias(1), alias(-1) + word = forward + query + backward + correction + _, initial = m.case(programs['dirty_eight_A_before_cleanup'], r, routes, True) + rows = {field: value.copy() for field, value in initial.items()} + # Allow a new arbitrary scratch input at the cleanup cut. + rows['C'] = m.symbol(232) + frames = {field: (full2 if field[0] in ('X', 'Y', 'R') else ()) for field in rows} + checks = run(word, rows, frames) + for p in m.ALL: + m.require(rows['X' + str(p)] == m.symbol(p), 'Every original X input restored') + m.require(rows['Y' + str(p)] == m.symbol(112 + p), 'Every original Y input restored') + for at, p in enumerate(m.A): + m.require(rows['R' + str(p)] == m.symbol(224 + at), 'Every arbitrary donor restored') + m.require(not rows['C'], 'Owned scratch ends at zero') + m.require(all(rows[field] == value for field, value in initial.items() if field.startswith('H')), + 'All 480 borrowed helpers are unchanged') + for field in rows: + if field[0] in ('X', 'Y', 'R'): + m.require(m.phase(frames[field]) == m.phase(full2), 'Common F_U2 endpoint') + # The alias is checked separately on arbitrary data. + bare = {'X' + str(p): m.symbol(p) for p in m.ALL} + bare.update({'Y' + str(p): m.symbol(112 + p) for p in m.ALL}) + bare['C'] = m.symbol(232) + bare_frames = {field: full2 for field in bare} + run(forward, bare, bare_frames) + f = m.read_query({p: m.symbol(p) for p in m.ALL}, m.ALL, 0, r) + pf = m.response(f, m.U + m.T, 0, r) + for p in m.U + m.T: + want = m.plus(m.plus(m.symbol(112 + p), m.symbol(p)), pf[p], -1) + m.require(bare['Y' + str(p)] == want, 'The actual Y1 off-A alias') + run(backward, bare, bare_frames) + m.require(all(bare['X' + str(p)] == m.symbol(p) and bare['Y' + str(p)] == m.symbol(112 + p) + for p in m.ALL), 'The alias shear restores every data column') + bill = m.invoice(word) + m.require(bill['scalar_allowance'] == 23780 and bill['native_mass'] == 0 + and bill['cover_maps'] == 224, 'One-C cleanup invoice') + m.require(m.invoice(forward)['scalar_allowance'] == 9426, 'Each alias direction invoice') + controls = {} + bad = {field: value.copy() for field, value in initial.items()} + run(forward + query + backward, bad, {field: full2 for field in bad}) + controls['omitting_E_correction_changes_data'] = any(bad['X' + str(p)] != m.symbol(p) for p in m.ALL) + m.require(controls['omitting_E_correction_changes_data'], 'Dirty baseline remains a real obligation') + bad_frames = {field: (m.FULL if field.startswith('R') else full2) for field in initial} + try: + run(word, {field: value.copy() for field, value in initial.items()}, bad_frames) + except ValueError as error: + controls['missing_second_record_advance'] = str(error) + m.require('missing_second_record_advance' in controls, 'The required donor advance is checked') + packet = {'contract': 'common F_U2 with aligned arbitrary donors; one reused owned C', + 'alias_shear': forward, 'current_stage2_query': query, 'inverse_alias_shear': backward, + 'selected_error_correction': correction, 'cleanup': word} + payload = HERE / 'DELAYED-CLEANUP-ONE-C-WORD.json' + payload.write_text(json.dumps(packet, sort_keys=True, separators=(',', ':')) + '\n') + result = {'status': 'PASS_CONDITIONAL_ONE_C_DELAYED_CLEANUP', 'source_pins': m.PINS, + 'word_sha256': sha256(payload.read_bytes()).hexdigest(), 'invoice': bill, + 'source_algebra_sha256': old.ENGINE_PIN, + 'data_columns': 224, 'arbitrary_donor_columns': 8, 'arbitrary_owned_scratch_columns': 1, + 'unchanged_helper_columns': 480, 'physical_checks': dict(checks), + 'one_C_reused_from_local_repair': True, 'additional_owned_work_fields': 0, + 'negative_controls': controls, + 'scalar_parts': {'each_alias_direction': 9426, 'stage2_query': 4160, 'E_correction': 768}, + 'premises': ['Park the full coded pair through F2, then reach common F_U2', + 'Align each donor at both repair and cleanup by its separately priced two-cut views', + 'No donor active use or untracked data change before cleanup'], + 'excluded': ['Donor allocation', 'Boundary view cost', 'Stream invoice', + 'Rounding and recursive precision', 'Complete supplier']} + output = HERE / 'DELAYED-CLEANUP-ONE-C.json' + output.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + print(sha256(output.read_bytes()).hexdigest()) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/review_eight_records.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/review_eight_records.py new file mode 100644 index 0000000000..8fd3afa6e1 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/review_eight_records.py @@ -0,0 +1,365 @@ +"""Check the eight-record word without producer imports. + +Keep different ordered owner routes as different free words. Check each +physical frame as a quadratic phase over Z/4Z. +""" + +from collections import Counter +from fractions import Fraction +from functools import lru_cache +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[2] +INPUT = LANES / 'portable-source-codes/dirty-record-hosting-20261015' +BASE = LANES / 'paired-package-review/upstream-followthrough-20261015' +A = (0, 7, 20, 27, 36, 46, 57, 111) +T = (21, 37, 47, 76, 81, 87, 92, 110) +U = tuple(p for p in range(112) if p not in A + T) +ALL = tuple(range(112)) +AXES = tuple(1 << i for i in range(73)) +OLD = tuple((v, 1) for v in AXES[:9]) +FULL = tuple((v, 1) for v in AXES[:17]) +PINS = {} + + +def require(test, message): + if not test: + raise ValueError(message) + + +def pinned(path, digest): + raw = path.read_bytes() + require(sha256(raw).hexdigest() == digest, 'Source hash: ' + str(path)) + PINS[str(path.relative_to(LANES))] = digest + return raw + + +def plus(row, other, coefficient=Fraction(1)): + result = row.copy() + for key, value in other.items(): + new = result.get(key, 0) + coefficient * value + if new: + result[key] = new + elif key in result: + del result[key] + return result + + +def times(row, coefficient): + return {key: coefficient * value for key, value in row.items() if coefficient * value} + + +def symbol(index): + return {(index, ()): Fraction(1)} + + +def route(row, stage, port): + if stage == 0: + return row.copy() + letter = (stage, port) + result = {} + for (index, word), value in row.items(): + new_word = word[1:] if word and word[0] == letter else (letter,) + word + key = index, new_word + result[key] = result.get(key, 0) + value + return {key: value for key, value in result.items() if value} + + +def read_query(bank, ports, stage, r): + result = [{} for _ in range(8)] + for p in ports: + value = route(bank[p], stage, p) + for k in range(8): + if r[k][p]: + result[k] = plus(result[k], value, r[k][p]) + return result + + +def response(query, ports, stage, r): + result = {} + for p in ports: + value = {} + for k in range(8): + if r[k][p]: + value = plus(value, query[k], r[k][p] / 4) + result[p] = route(value, stage, p) + return result + + +def source_forward(x, y, r): + f = read_query(x, ALL, 0, r) + t = read_query(x, T, 0, r) + kf = response(f, U + T, 0, r) + out_x = {p: plus(x[p], kf[p], -1) for p in U} + out_x.update(response(t, A, 0, r)) + out_x.update({p: kf[p] for p in T}) + out_y = {p: plus(y[p], out_x[p]) for p in U} + out_y.update({p: plus(plus(x[p], y[p]), out_x[p], -1) for p in A + T}) + return out_x, out_y + + +def source_backward(x, y, r): + # Use the stated ordered source equations. Do not use the repair. + n = response(read_query(y, U + T, 2, r), A, 2, r) + u = y.copy() + for p in A: + u[p] = plus(u[p], n[p]) + a = read_query(x, T, 1, r) + b = read_query(u, ALL, 1, r) + out_y = u.copy() + ku = response(a, U, 1, r) + kt = response([plus(bb, aa, 11) for bb, aa in zip(b, a)], T, 1, r) + for p in U: + out_y[p] = plus(y[p], ku[p]) + for p in T: + out_y[p] = plus(u[p], kt[p], -1) + out_x = {p: plus(x[p], y[p], -1) for p in U} + out_x.update({p: plus(plus(x[p], y[p]), out_y[p], -1) for p in A + T}) + require(read_query(out_y, ALL, 1, r) == a, 'R1 Y2 = ell1T X1T') + return out_x, out_y + + +def act(columns, value): + answer = 0 + while value: + bit = value & -value + answer ^= columns[bit.bit_length() - 1] + value ^= bit + return answer + + +@lru_cache(maxsize=None) +def phase(terms): + linear = [0] * 73 + quadratic = [0] * 73 + for vector, coefficient in terms: + positions = [i for i in range(73) if (vector >> i) & 1] + for i in positions: + linear[i] = (linear[i] + coefficient) % 4 + if coefficient % 2: + for at, i in enumerate(positions): + for j in positions[at + 1:]: + quadratic[i] ^= 1 << j + return tuple(linear), tuple(quadratic) + + +def transport(terms, columns, shift): + return tuple((act(columns, v), c) for v, c in terms) + ((shift, 2),) + + +def parse_routes(certificate): + result = {} + for stage in (1, 2): + for p in ALL: + events = [e for e in certificate['programs']['F_' + str(stage)] + if e[0] == 'cover_map' and e[1] == ['L', p]] + require(len(events) >= 2, 'Completed-X views occur in both directions') + record = certificate['map_registry'][events[0][2]] + g = tuple(record['owner_right_matrix_columns']) + delta = record['payload_translation_at_identity_owner'] + require(tuple(act(g, v) for v in g) == AXES, 'Actual route involution') + require(all(((g[i] & g[j]).bit_count() & 1) == (i == j) + for i in range(73) for j in range(73)), 'Actual orthogonal route') + require(all(g[i] == AXES[i] for i in range(9 + 8 * stage, 73)), + 'Actual route fixes the later axes') + basis = g[1 + 8 * stage:9 + 8 * stage] + require(all(v < 512 for v in basis), 'The moved chart is in the old nine-space') + normals = [q for q in range(1, 512) + if all((q & v).bit_count() % 2 == 0 for v in basis)] + require(len(normals) == 1, 'One port normal') + q = normals[0] + if p in A + T: + require(certificate['native_line_recipes']['positive_' + str(p)]['label'] == q, + 'The native selected recipe has the same normal') + require(act(g, q) == q, 'Actual route fixes its own port') + frame = tuple((v, 1) for v in AXES[:9 + 8 * stage]) + require(phase(transport(frame, g, delta)) == phase(frame), + 'Exact complete-frame view, including translation') + result[stage, p] = g, delta, q + return result + + +def execute(events, rows, frames, routes, dirty, counters): + private = False + for event in events: + op = event['op'] + if op == 'add': + dst, src = event['dst'], event['src'] + require(phase(frames[dst]) == phase(frames[src]) or not rows[src], + 'ADD uses one physical frame: ' + dst + ' <- ' + src) + rows[dst] = plus(rows[dst], rows[src], Fraction(event['c'])) + counters['physical_ADD_checks'] += 1 + elif op == 'scale': + rows[event['field']] = times(rows[event['field']], Fraction(event['c'])) + elif op == 'clear': + field = event['field'] + require(field == 'C' or (field.startswith('R') and not dirty), + 'Only an owned field can be cleared') + require(field != 'C' or private, 'Scratch clear is inside its owner body') + rows[field] = {} + frames[field] = {'old': OLD, 'current': FULL, 'identity': ()}[event['frame']] + elif op == 'line': + require(event['field'] == 'Y' + str(event['port']) and event['sign'] == 1 + and event['rank'] == 1, 'Literal positive Y line') + q = routes[1, event['port']][2] + frames[event['field']] += ((q, 1),) + elif op == 'stage': + require(event['field'] in {'R' + str(p) for p in A} and event['stage'] == 1 + and event['sign'] == 1 and event['rank'] == 8, 'Literal record E1 lift') + frames[event['field']] += tuple((v, 1) for v in AXES[9:17]) + elif op == 'map': + require(not private, 'No owner route inside the private body') + stage, p = event['letter'] + g, delta, _ = routes[stage, p] + require(tuple(event['g']) == g, 'Literal actual owner view') + require(event['shift'] in (delta, act(g, delta)), 'Literal forward or inverse translation') + field = event['field'] + rows[field] = route(rows[field], stage, p) + frames[field] = transport(frames[field], g, event['shift']) + counters['physical_map_checks'] += 1 + elif op == 'private_begin': + require(not private, 'One private body') + private = True + elif op == 'private_end': + require(private and not rows['C'] and phase(frames['C']) == phase(()), + 'Scratch returns to zero and identity before next owner') + private = False + else: + raise ValueError('Unknown event: ' + op) + require(not private, 'Private body closes') + + +def invoice(events): + count = Counter(event['op'] for event in events) + profile = Counter(event['rank'] for event in events if event['op'] in ('stage', 'line')) + scalar = 0 + for event in events: + if event['op'] == 'clear': + scalar += 2 + elif event['op'] in ('add', 'scale'): + c = Fraction(event['c']) + n, d = abs(c.numerator), c.denominator + require(d & (d - 1) == 0, 'Dyadic scalar coefficient') + if event['op'] == 'add': + scalar += 2 * (2 + n.bit_length() + n.bit_count() + d.bit_length() - 1) + else: + scalar += 2 * (abs(n.bit_length() - d.bit_length()) + int(c < 0)) + return dict(event_counts=dict(sorted(count.items())), native_profile=dict(sorted(profile.items())), + native_mass=sum(k * v for k, v in profile.items()), scalar_allowance=scalar, + native_wrappers=2 * sum(profile.values()), cover_maps=count['map']) + + +def row_digest(rows): + literal = [[field, [[index, list(word), str(value)] for (index, word), value in sorted(row.items())]] + for field, row in sorted(rows.items())] + return sha256(json.dumps(literal, separators=(',', ':')).encode()).hexdigest() + + +def case(program, r, routes, dirty): + x = {p: symbol(p) for p in ALL} + y = {p: symbol(112 + p) for p in ALL} + h = {p: symbol(224 + at) for at, p in enumerate(A)} + x1, y1 = source_forward(x, y, r) + x2, y2 = source_backward(x1, y1, r) + rows = {'X' + str(p): x1[p] for p in ALL} + rows.update({'Y' + str(p): y1[p] for p in ALL}) + rows.update({'R' + str(p): h[p] for p in A}) + rows['C'] = symbol(232) + helpers = {'H' + str(i): symbol(233 + i) for i in range(480)} + rows.update(helpers) + frames = {'X' + str(p): OLD for p in ALL} + frames.update({'Y' + str(p): OLD + ((routes[1, p][2], -1),) for p in ALL}) + frames.update({'R' + str(p): OLD if dirty else () for p in A}) + frames.update({'C': (), **{name: () for name in helpers}}) + counters = Counter() + execute(program['capture'], rows, frames, routes, dirty, counters) + for p in ALL: + rows['X' + str(p)], rows['Y' + str(p)] = x2[p], y2[p] + frames['X' + str(p)] = FULL + frames['Y' + str(p)] = FULL + ((routes[1, p][2], -1),) + execute(program['repair'], rows, frames, routes, dirty, counters) + dx = {p: {} for p in ALL} + if dirty: + dx.update({p: times(h[p], -1) for p in A}) + dx.update(response(read_query(h, A, 0, r), T, 0, r)) + g = response(read_query(y1, U + T, 2, r), A, 2, r) + for p in ALL: + require(rows['X' + str(p)] == plus(x[p], dx[p]), 'All original X columns') + require(rows['Y' + str(p)] == plus(y[p], dx[p], -1), 'All original Y columns') + require(phase(frames['X' + str(p)]) == phase(FULL), 'Common X output frame') + require(phase(frames['Y' + str(p)]) == phase(FULL), 'Common Y output frame') + for p in A: + require(rows['R' + str(p)] == (plus(h[p], g[p]) if dirty else {}), 'All donor columns') + require(not rows['C'], 'Arbitrary owned scratch is cleared') + require(all(rows[name] == value for name, value in helpers.items()), 'All 480 helper columns') + all_events = program['capture'] + program['repair'] + return {**invoice(all_events), **counters, 'output_rows_sha256': row_digest(rows)}, rows + + +def main(): + require(shutil.disk_usage(HERE).free >= 3 * 1024 ** 3, 'Three GiB of free disk') + raw = pinned(BASE / 'base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7') + certificate = json.loads(gzip.decompress(raw)) + r = [[Fraction(row.get(str(p), 0)) for p in ALL] for row in certificate['R_rows']] + for ports, value in ((A, 4), (T, 4), (U, 48), (ALL, 56)): + require(all(sum(r[i][p] * r[j][p] for p in ports) == value * (i == j) + for i in range(8) for j in range(8)), 'Actual minor and centre Gram') + routes = parse_routes(certificate) + programs = json.loads(pinned(INPUT / 'eight-records/EIGHT-RECORD-WORDS.json', + '8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4')) + inherited = pinned(BASE / 'common-frame-results/COMMON-F-RESTORATION-WORD.json', + 'c1fa3fe3596d939bbc42c0a41ad0078b43b74dca51fa41d7e3407736af07a74e') + old_native = [e for e in json.loads(inherited)['repair_after_B1'] if e['op'] in ('line', 'stage')] + results = {} + for name, program in programs.items(): + dirty = name.startswith('dirty') + for event in program['repair']: + if event['op'] in ('line', 'stage'): + require(event in old_native, 'Unchanged reviewed native child record') + results[name], _ = case(program, r, routes, dirty) + require(results[name]['native_mass'] == 176, 'Native mass') + require(results[name]['scalar_allowance'] == (20322 if dirty else 20290), 'Scalar invoice') + require(results[name]['cover_maps'] == 240, 'Complete cover views') + controls = {} + owned = programs['owned_eight_A'] + bad = json.loads(json.dumps(owned)) + for at, e in enumerate(bad['repair']): + if e['op'] == 'add' and e.get('dst') == 'X' + str(T[0]) and e.get('src', '').startswith('Y'): + if int(e['src'][1:]) not in T: + del bad['repair'][at] + break + try: + case(bad, r, routes, False) + except ValueError as error: + controls['missing_current_query_term'] = str(error) + require('missing_current_query_term' in controls, 'Query control fails') + bad = json.loads(json.dumps(owned)) + next(e for e in bad['repair'] if e['op'] == 'map')['shift'] ^= 1 + try: + case(bad, r, routes, False) + except ValueError as error: + controls['changed_actual_view_translation'] = str(error) + require('changed_actual_view_translation' in controls, 'Translation control fails') + result = {'status': 'PASS_INDEPENDENT_EIGHT_RECORD_REPAIR', 'source_pins': PINS, + 'cases': results, 'negative_controls': controls, + 'source_data_columns': 224, 'record_columns': 8, 'owned_scratch_columns': 1, + 'unchanged_helper_columns': 480, 'actual_completed_view_recipes': len(routes), + 'inherited': ['Full original QQ16 core maps and helper native jobs', + 'Unchanged positive line and E1 child kernels'], + 'excluded': ['New child hosting', 'Record owner allocation', 'Physical stream invoice', + 'Recursive precision', 'Dirty record cleanup', 'Complete supplier']} + output = HERE / 'CHECK.json' + output.write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + print(sha256(output.read_bytes()).hexdigest()) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/CHECK.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/CHECK.json new file mode 100644 index 0000000000..2669d91fcd --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/CHECK.json @@ -0,0 +1,57 @@ +{ + "all_size_method": "Free ordered route rows plus exact mod-four physical native phases; no constant-cover restriction", + "comparison": "Frozen dirty consumer minus the same full-W consumer with clean owned records", + "extra_correction_native_cost": 0, + "extra_correction_scalar_cost": 0, + "literal_repair_and_cleanup_baseline_columns": 8, + "native_helper_contract": "Inherited complete two-sided arbitrary-input endpoint; no internal cut used", + "negative_controls": { + "keep_first_bridge": "Dirty data enters an active local core at event 18", + "omit_E_correction": "All-output cleanup removes every donor-baseline column" + }, + "not_proved": [ + "The clean reference has the required other three-pair output map", + "New recursive child hosting", + "Complete stream and precision invoice", + "Complete supplier or kappa improvement" + ], + "source_pins": { + "archive-member:candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "archive-member:candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz": "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/common-frame-source/evidence/NATIVE-REVIEW.json": "e9e9287a4a4d1be3c802899a42f70ff5dd5efd1e144a48bd585386fe234832e5", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/REVIEW.json": "a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-DONORS.json": "1769aa102c41b5d81dfc463a64eacb6742601b52c30d566ed0222d8ac99e2d70", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/REVIEW.json": "0e7648b9b4a957b7e142830bebb44485771fa46f5e40a305791b98d37ae8bac3", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/consumer/DIRTY-CONSUMER-WORD.json": "4d2c2ec96d2f9978df0396ce66d6640a061459fbf9f84b10fd7f0556c7117e6c", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/eight-records/EIGHT-RECORD-WORDS.json": "8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json": "bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.json": "17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json": "74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993", + "work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.json": "4b5d9f7d52df8db7a25d67c645c5b638af08a263b3ce6da69cdf7c20c58a1ce8", + "worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6" + }, + "status": "PASS_COMPLETE_DIRTY_RECORD_NONINTERFERENCE", + "trace": { + "boundary_trace_sha256": "f8c1fc4711c8cb375369c9704b9991b3bc24d83ba54a47e74711b39c198afa20", + "checked_baseline_directions": 128, + "checked_output_fields": 14336, + "counts": { + "clean_active_calls": 144, + "complete_pair_swaps": 96, + "dirty_data_helper": 544, + "dirty_data_translation": 512, + "final_positive_lines": 1792, + "live_donor_helper": 262, + "omit_full_W_bridge": 48, + "omit_full_W_terminal": 32, + "peak_dirty_fields": 128, + "peak_live_donors": 48, + "procedure_capture": 16, + "procedure_cleanup": 16, + "procedure_repair": 16 + }, + "final_added_baseline_coefficients": 0, + "other_three_pair_fields": 10752 + } +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/MANIFEST.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/MANIFEST.json new file mode 100644 index 0000000000..5f9202c0f3 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/MANIFEST.json @@ -0,0 +1,8 @@ +{ + "files": { + "CHECK.json": "e9b864b4732b815a3daa32430b366e7f28999186191ac9f77f7c5a36d458bd1a", + "PROOF.md": "ff85c23d9114de3197dd3b6d95c8e739358ae545608ee363737f0b5f511959b7", + "check_full_output_dirt.py": "a028a309d5b3b1fd9d65e4363e3306825183f7889c97581d04562f5fad2af652" + }, + "scope": "All-output difference from the frozen full-W clean-owned-record reference; no required other-pair map or complete supplier claim." +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/PROOF.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/PROOF.md new file mode 100644 index 0000000000..611644d0a5 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/PROOF.md @@ -0,0 +1,187 @@ +# No additional dirty-record error in any final field + +The frozen dirty-record consumer has exactly the same data outputs as +the same full-W consumer with clean owned records. Every borrowed donor +also has its original required native output. This equality holds on all +14,336 physical data families, not only on the retired first pair. It +holds for arbitrary arrays on the full cover and at every tensor width. + +The comparison does not identify the other three-pair output map of the +clean reference. In particular, an original productive donor input may +still have its ordinary dependence in those outputs. The theorem says +that borrowing the records adds no error or additional dependence. It +does not assert that every output is independent of each original donor +input. There is no complete supplier or kappa claim. + +## Pinned scope + +The input is `consumer/DIRTY-CONSUMER-WORD.json` in the portable source +packet, with SHA-256 +`4d2c2ec96d2f9978df0396ce66d6640a061459fbf9f84b10fd7f0556c7117e6c`. +The checker reads its 1,506 ordered entries and all 482 retained source +event positions. It reads the original selected archive directly. It +reconstructs all 69,120 complete helper jobs and 7,526 idle suffixes. It +imports or runs no producer or earlier review module. + +The following exact component contracts are inherited from their pinned +independent reviews: + +- the conserved QQ16 local maps and the complete two-sided arbitrary-input + helper outputs; +- the eight-record repair and the one-C delayed cleanup; +- the full-W parked-data consumer; +- the two-cut donor allocation and its three native adapters; +- the outer procedure bindings and gather, return, and adapter order. + +`CHECK.json` lists their paths and hashes. The new check below verifies +their global noninterference consequence. It does not repeat each raw +local core or native kernel proof. + +## Local baseline column + +At one repair, let z be the original pair values and h the eight arbitrary +borrowed record values in their stated capture coordinates. The reviewed +local endpoint is + + d = z + E h, r = h + G z, G E = 0. + +For this source, E has 32 nonzero field rows and eight columns. It is +supported on the two copies of A union T. Its X rows are + + (E h)_A = -h, (E h)_T = P0T ell0A h, + +and its Y rows are their negatives. The actual T minor has Gram matrix +4I. Thus R0 E_X=0. The off-A alias V=(Y+X-P0 R0 X)_offA satisfies VE=0, +and the required later query is the actual routed G=N2 V. + +The checker replays the frozen repair with zero data and eight independent +baseline symbols. It gets exactly E h and leaves the donor baseline h. +It then replays every event of the frozen cleanup in the free algebra of +ordered route words. The result has zero data rows and the same eight +donor symbols. This is an exact eight-column check, with rational scalar +coefficients. It uses no cover-constant specialization. The inherited +local view proof binds those route words to the actual native maps. + +The same contract also restores the added query Gz. It holds for arbitrary +z and h, including correlated values. Therefore a donor needs no clean +initial state. The global check must still prove that no other operation +uses a live query or the temporary E h error before their removal. + +## Two types of live channel + +The global trace keeps two distinct supports. + +1. A live donor can contain its arbitrary old value plus a temporary query. + Its exact native operator can also differ from its old operator while + the boundary adapters are in use. +2. A repaired data field can contain one of the 128 formal baseline columns + from the sixteen E h injections. + +The trace does not confuse the arbitrary original donor value with a new +independent physical input. A fresh formal h at a repair describes the +possible extra data dependence caused by that repair. Since the local +identity holds for every h, it also holds when h is the actual value of +an old productive field or is correlated with z. + +The exact source trace has no overlap between the two supports. A new +capture, repair, or erase also never reads an older dirty pair as data. +Thus there is no cross-window query feedback to solve in this allocation. +No causal Schur inverse or new query bank is needed. + +## Retained native work is field-diagonal + +Each complete helper job returns its own arbitrary input under its stated +native transform. The active output and every other helper output have +zero dependence on that helper input. This permits a helper field to carry +a query or an E h row through a complete job. It does not permit access at +an internal helper cut. + +The checker binds every helper role to its actual physical family in the +704-owner call. All 144 active data sets are disjoint from both live +supports. Therefore no added channel enters an active QQ16 input. The +helper endpoint, idle suffix, and idle translation only change the exact +operator on the same field. They cannot send a coefficient to a different +field. + +For a field at cover g, an intrinsic native axis v contributes the phase +`i^(chi dot gv mod 2)`. A translation t contributes twice that parity. +The checker stores signed parity sums modulo four, including the linear +and quadratic terms. It updates these phases from the actual axis slices +and recorded translations. This is the full character identity in the +73-dimensional address space, not a test on a sample of characters. +Tensoring it proves the same equality at every positive width. + +There are 544 complete helper advances on nonzero dirty data, 512 relevant +idle translations, and 262 complete helper advances on live donors. Every +dirty data field reaches its cleanup with exactly the common F_U2 phase. +Every donor reaches the repair and cleanup with exactly F_U1 and F_U2 in +the gathered view. Its final physical phase after the return and A3 is +exactly its old required phase. There is no phase cancellation hidden by +a constant-payload or constant-cover test. + +## Changed bridges and other procedures + +Each of the first six bridges per replica is a complete physical swap on +all 112 ports in both banks. The four scalar steps have no intervening +source event. A complete swap only moves an existing coefficient row and +its native phase to the other physical field. The trace executes all 96 +swaps. It checks that none reads or writes a live donor. + +The first swap parks the dirty pair in pair 1. F2 uses the other pair. +The complete pair-1 idle advances the parked pair to F_U2. The cleanup +removes all E h rows before the second swap returns it. The trace verifies +the full 224-field binding at this cut; selected-only parking is not used. + +All 48 capture, repair, and erase bindings are checked against their exact +source event and physical families. New donor cover views and adapters +never act on another dirty data field. A procedure never uses a different +live donor as data. The sole cleared field is the original owned C0. Its +complete private sweeps have the inherited zero-output contract. + +At a cleanup the checker compares every actual coefficient row with the +expected E row on its parked field, checks its full native phase, and +uses the fresh literal cleanup replay to remove it. It closes the donor +only after its physical return and final adapter. All extra channels are +zero before the final positive X lines and common cover correction. + +The maximum live support is 128 dirty data fields and 48 borrowed donor +fields. These are temporary supports, not new productive families. + +## Consequence and cost + +By induction over the complete ordered schedule, the difference from the +clean owned-record reference is confined to the two live supports just +described. No retained or new operation sends it outside those supports. +The exact cleanup and final donor adapter remove it. The final difference +is zero in all 14,336 data fields, including the 10,752 fields in the other +three pairs. All 128 baseline directions are covered. + +No additional correction is required: its native, scalar, and storage +cost is zero. This statement adds no discount to the frozen component +invoice. The existing cleanup, donor adapters, cover maps, and modified +bridges remain fully charged. + +Run from the workspace root: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/check_full_output_dirt.py +``` + +Expected status: `PASS_COMPLETE_DIRTY_RECORD_NONINTERFERENCE`. + +Two controls fail. If the first complete swap is not made, dirty data +enters the active F2 core at original event 18. If the final E correction +is omitted, a donor-baseline column remains in a data output. The source +and local view receipts have separate controls for wrong native phases +and donor cover directions. + +The remaining other-pair map is the clean reference's map. It is not +identified by this result. New recursive child hosting, the full stream +invoice, accumulated rounding, and complete supplier precision remain +open. The trace is a new consequence of the exact QQ16, full-W consumer, +dirty-record, and owner-path work from the other campaign lanes. OpenAI +Codex supplied research and implementation assistance. Independent review +of this new all-output trace is a separate step. + +No PR, push, or commit was made. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/check_full_output_dirt.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/check_full_output_dirt.py new file mode 100644 index 0000000000..9b15b2bc64 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/check_full_output_dirt.py @@ -0,0 +1,424 @@ +"""Trace the added dirty-record channels through the complete schedule. + +Read pinned data only. Use exact scalar rows and native phase words. +The reference is the same full-W consumer with clean owned records. +""" + +from collections import Counter, defaultdict +from fractions import Fraction as Q +from hashlib import sha256 +import gzip +import json +from pathlib import Path +import shutil +import tarfile + + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[5] +LANES = HERE.parents[2] +PORTABLE = LANES / 'portable-source-codes/dirty-record-hosting-20261015' +LOCAL = HERE.parent / 'eight-record-review-20261015' +PINS = {} +AXES = tuple(1 << i for i in range(73)) + + +def need(value, message): + if not value: + raise ValueError(message) + + +def read(path, digest): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == digest, 'Source pin: ' + str(path)) + PINS[str(path.relative_to(ROOT))] = digest + return raw + + +def act(columns, value): + out = 0 + while value: + bit = value & -value + out ^= columns[bit.bit_length() - 1] + value ^= bit + return out + + +def plus_phase(left, right): + out = Counter(left) + out.update(right) + return {v: c % 4 for v, c in out.items() if c % 4 and v} + + +def native(axes, shift=0): + out = Counter(axes) + if shift: + out[shift] += 2 + return {v: c % 4 for v, c in out.items() if c % 4} + + +def signature(terms): + low = high = cross = 0 + for v, c in terms.items(): + if c & 1: + high ^= low & v + low ^= v + bits = v + while bits: + bit = bits & -bits + j = bit.bit_length() - 1 + cross ^= (v & (bit - 1)) << (j * (j - 1) // 2) + bits ^= bit + if c & 2: + high ^= v + return low, high, cross + + +def view_phase(columns, terms): + out = {} + for v, c in terms.items(): + w = act(columns, v) + out[w] = (out.get(w, 0) + c) % 4 + return {v: c for v, c in out.items() if c} + + +def axpy(left, right, c=Q(1)): + out = dict(left) + for key, value in right.items(): + out[key] = out.get(key, 0) + c * value + if not out[key]: + del out[key] + return out + + +def rowmap(row, letter): + out = {} + for (source, word), c in row.items(): + key = source, word[1:] if word and word[0] == letter else (letter,) + word + out[key] = out.get(key, 0) + c + return {key: c for key, c in out.items() if c} + + +def run_local(word, rows, omit_error=False): + rows = {name: dict(row) for name, row in rows.items()} + private = False + for event in word: + op = event['op'] + if op == 'add': + if omit_error and event['dst'] == 'X0' and event['src'] == 'R0': + continue + rows[event['dst']] = axpy(rows[event['dst']], rows[event['src']], Q(event['c'])) + elif op == 'scale': + rows[event['field']] = axpy({}, rows[event['field']], Q(event['c'])) + elif op == 'map': + rows[event['field']] = rowmap(rows[event['field']], tuple(event['letter'])) + elif op == 'line': + # All repair lines precede creation of the donor error. + need(not rows[event['field']], 'No unmodelled native line on a nonzero error') + elif op == 'private_begin': + need(not private, 'No nested private sweep') + private = True + elif op == 'private_end': + need(private and not rows['C'], 'Owned scratch returns zero') + private = False + elif op == 'clear': + need(private and event['field'] == 'C', 'Only the owned C can be cleared') + rows['C'] = {} + else: + raise ValueError('Unknown local operation: ' + op) + need(not private, 'Complete private sweep') + return rows + + +def family(replica, pair, side, port): + return 896 * replica + 224 * pair + 112 * side + port + + +def main(): + need(shutil.disk_usage(HERE).free >= 3 * 1024 ** 3, 'At least three GiB free') + word = json.loads(read(PORTABLE / 'consumer/DIRTY-CONSUMER-WORD.json', + '4d2c2ec96d2f9978df0396ce66d6640a061459fbf9f84b10fd7f0556c7117e6c')) + donors = json.loads(read(PORTABLE / 'TWO-CUT-DONORS.json', + '1769aa102c41b5d81dfc463a64eacb6742601b52c30d566ed0222d8ac99e2d70')) + local_words = json.loads(read(PORTABLE / 'eight-records/EIGHT-RECORD-WORDS.json', + '8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4')) + cleanup = json.loads(read(LOCAL / 'DELAYED-CLEANUP-ONE-C-WORD.json', + 'bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880')) + read(HERE.parent / 'review-gauss/delayed-dirty-cleanup/REVIEW.json', + '74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993') + read(LOCAL / 'REVIEW.json', + '17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4') + packet = LANES / 'paired-package-review/upstream-followthrough-20261015' + read(packet / 'common-frame-source/evidence/NATIVE-REVIEW.json', + 'e9e9287a4a4d1be3c802899a42f70ff5dd5efd1e144a48bd585386fe234832e5') + read(LANES / 'portable-source-codes/common-f-independent-review-20261015/REVIEW.json', + 'a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef') + read(LANES / 'source-domain/two-cut-donor-review/REVIEW.json', + '4b5d9f7d52df8db7a25d67c645c5b638af08a263b3ce6da69cdf7c20c58a1ce8') + read(PORTABLE / 'algebra/composition-review/REVIEW.json', + '0e7648b9b4a957b7e142830bebb44485771fa46f5e40a305791b98d37ae8bac3') + cert = json.loads(gzip.decompress(read(packet / 'base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7'))) + archive = ROOT / 'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' + read(archive, 'f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6') + members = { + 'template': ('candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz', + '2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760'), + 'phases': ('candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json', + 'c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa')} + data = {} + with tarfile.open(archive) as stream: + for name, (member, pin) in members.items(): + raw = stream.extractfile(member).read() + need(sha256(raw).hexdigest() == pin, 'Pinned archive member: ' + member) + PINS['archive-member:' + member] = pin + data[name] = json.loads(gzip.decompress(raw) if member.endswith('.gz') else raw) + template, phases = data['template'], data['phases']['recipes'] + events, calls = template['execution_schedule'], template['calls'] + need(len(events) == 482 and len(calls) == 144, 'Complete original schedule') + source = local_words['dirty_eight_A_before_cleanup'] + need(word['procedures']['capture'] == source['capture'], 'Literal capture binding') + need(word['procedures']['repair'] == [e for e in source['repair'] if e['op'] != 'stage'], + 'Literal repair and exact removal of synthetic record advances') + need(word['procedures']['cleanup'] == cleanup['cleanup'], 'Literal cleanup binding') + a, t = tuple(cert['A_ports']), tuple(cert['T_ports']) + r = [[Q(row.get(str(p), 0)) for p in range(112)] for row in cert['R_rows']] + dot = lambda p, q: sum(r[k][p] * r[k][q] for k in range(8)) / 4 + need(all(sum(r[i][p] * r[j][p] for p in t) == 4 * (i == j) + for i in range(8) for j in range(8)), 'Actual selected right inverse') + + selected = sorted(donors['allocations']['all']['selected'], key=lambda row: row['role']) + need([row['role'] for row in selected] == list(range(128)), 'All 128 donor roles') + need(len({row['family'] for row in selected}) == 128, 'Distinct physical donors') + by_replica = {replica: selected[8 * replica:8 * replica + 8] for replica in range(16)} + by_family = {row['family']: row for row in selected} + position = {event['time']: at for at, event in enumerate(events) if event['kind'] == 'local_cover_sweep'} + deadlines = {(event['replica'], child): at for at, event in enumerate(events) + if event['kind'] == 'idle_cover_sweep' for child in event['child_indices']} + jobs = defaultdict(list) + for index, job in enumerate(template['hosting']['pooled_slots']): + child = phases[job['port']]['idle_children'][job['child']] + axes = child['orthogonal_axes'][job['offset']:job['offset'] + job['width']] + need(len(axes) == job['width'], 'Complete hosted helper width') + call = calls[job['time']] + need(call['owners'][224 + job['helper']][0] == job['family'], 'Actual helper owner binding') + jobs[position[job['time']]].append((job['family'], axes, 0, 'helper', index)) + for index, job in enumerate(template['idle_children']): + child = phases[job['port']]['idle_children'][job['child']] + axes = child['orthogonal_axes'][job['pending_offset']:] + need(len(axes) == job['rank'], 'Complete retained idle suffix') + jobs[deadlines[job['replica'], job['child']]].append((job['family'], axes, 0, 'suffix', index)) + for at, event in enumerate(events): + if event['kind'] == 'idle_cover_sweep': + for side, child in enumerate(event['child_indices']): + for port in range(112): + shift = phases[port]['idle_children'][child]['translation_after'] + jobs[at].append((family(event['replica'], event['pair'], side, port), + [], shift, 'translation', child)) + need(len(template['hosting']['pooled_slots']) == 69120, 'All complete helper jobs') + need(len(template['idle_children']) == 7526, 'All retained idle suffixes') + + # E is an exact eight-column operator. Its stage-0 coefficients are scalar. + local_error = {f'{side}{p}': {} for side in ('X', 'Y') for p in range(112)} + for p in a: + local_error['X' + str(p)] = {(p, ()): Q(-1)} + for p in t: + local_error['X' + str(p)] = {(q, ()): dot(p, q) for q in a if dot(p, q)} + for p in range(112): + local_error['Y' + str(p)] = axpy({}, local_error['X' + str(p)], Q(-1)) + probe = {name: {} for name in local_error} + probe.update({'R' + str(p): {(p, ()): Q(1)} for p in a}) + probe['C'] = {} + repaired = run_local(word['procedures']['repair'], probe) + need(all(repaired[name] == row for name, row in local_error.items()), 'Literal repair creates exactly E h') + need(all(repaired['R' + str(p)] == {(p, ()): Q(1)} for p in a), 'No extra donor-baseline query in the repair') + clean = run_local(word['procedures']['cleanup'], repaired) + need(all(not clean[name] for name in local_error), 'Literal cleanup removes every baseline direction') + need(all(clean['R' + str(p)] == {(p, ()): Q(1)} for p in a), 'Cleanup preserves every arbitrary baseline') + + def trace(mutation=None): + errors, frames, live, baseline = {}, {}, {}, {} + statuses, cover_count = {}, Counter() + closing = set() + counts = Counter() + log = [] + seen_old = [] + current_old = -1 + + def close_windows(): + for replica in sorted(closing): + for row in by_replica[replica]: + field = row['family'] + need(signature(live[field]) == signature(baseline[field]), 'Final physical donor baseline phase') + need(cover_count[field] == 6, 'All three donor view pairs') + del live[field] + del baseline[field] + statuses[replica] = 'closed' + closing.clear() + + def advance(field, axes, shift, kind): + phase = native(axes, shift) + if field in errors: + frames[field] = plus_phase(frames[field], phase) + counts['dirty_data_' + kind] += 1 + if field in live: + live[field] = plus_phase(live[field], phase) + baseline[field] = plus_phase(baseline[field], phase) + counts['live_donor_' + kind] += 1 + + for index, event in enumerate(word['schedule']): + op = event['op'] + if 'old_event' in event: + close_windows() + current_old = event['old_event'] + seen_old.append(current_old) + old = events[current_old] + if op == 'retained_event': + kind = old['kind'] + if kind == 'local_cover_sweep': + call = calls[old['time']] + active = {item[0] for item in call['owners'][:224]} + need(not active & errors.keys(), 'Dirty data enters an active local core at event ' + str(current_old)) + need(not active & live.keys(), 'A live borrowed query enters an active local core') + need(len({item[0] for item in call['owners']}) == 704, 'Distinct owners inside each complete core') + counts['clean_active_calls'] += 1 + elif kind == 'bank_padding_cover_sweep': + need(not template['bank_padding']['children'], 'No untracked padding work') + elif kind == 'translate_every_live_family': + need(not errors and not live, 'All extra channels close before the final cover correction') + else: + need(kind == 'idle_cover_sweep', 'Retained operation is field-diagonal or a complete core') + for field, axes, shift, kind, _ in jobs[current_old]: + advance(field, axes, shift, kind) + elif op == 'physical_pair_swap': + need(old['kind'] == 'bridge' and old['source_event'] <= 18, 'Exact early bridge replacement') + need(event['ports'] == list(range(112)), 'Full-W swap on every port') + replica, left, right = event['replica'], event['src_pair'], event['dst_pair'] + touched = {family(replica, pair, side, p) for pair in (left, right) + for side in range(2) for p in range(112)} + need(not touched & live.keys(), 'Modified bridge cannot read or write a live donor') + wrong = mutation == 'keep_first_bridge' and old['replica'] == 0 and old['source_event'] == 3 + for side in range(2): + for p in range(112): + f, g = family(replica, left, side, p), family(replica, right, side, p) + if wrong: + continue + ef, eg, pf, pg = errors.pop(f, None), errors.pop(g, None), frames.pop(f, None), frames.pop(g, None) + if ef: + errors[g], frames[g] = ef, pf + if eg: + errors[f], frames[f] = eg, pg + counts['complete_pair_swaps'] += 1 + elif op in ('omit_full_W_bridge', 'omit_full_W_terminal'): + counts[op] += 1 + elif op == 'positive_X_lines': + need(not errors and not live, 'No unremoved error at final positive X lines') + counts['final_positive_lines'] += 16 * 112 + elif op == 'donor_cover_map': + field, columns = event['field'], event['columns'] + row = by_family[field] + expected = row['U_inverse_columns'] if cover_count[field] % 2 == 0 else row['U_columns'] + need(columns == expected, 'Actual alternating donor cover directions') + need(field not in errors, 'A new donor view touches another live dirty data channel') + if field in live: + live[field] = view_phase(columns, live[field]) + cover_count[field] += 1 + elif op == 'native_adapter': + field, recipe = event['field'], event['recipe'] + need(field in live and field not in errors, 'Adapter acts only on its live donor') + phase = native(recipe['axes'], recipe['translation']) + need(signature(phase) == tuple(recipe['phase']), 'Literal exact native adapter phase') + live[field] = plus_phase(live[field], phase) + elif op == 'call_procedure': + name, bind = event['name'], event['bindings'] + replica = bind['X0'] // 896 + own = {row['family'] for row in by_replica[replica]} + data_fields = {bind[f'{side}{p}'] for side in ('X', 'Y') for p in range(112)} + need(len(data_fields) == 224 and not data_fields & own, 'Distinct data and donor bindings') + need(bind['C'] == 14336, 'Only the old owned C is used') + need({bind['R' + str(p)] for p in a} == own, 'All eight actual donors') + need(not data_fields & live.keys(), 'A procedure cannot use another live donor as data') + need(not own & errors.keys(), 'No live donor aliases any dirty data channel') + if name == 'capture': + need(not data_fields & errors.keys(), 'Capture source has no older baseline error') + need(not own & live.keys(), 'No overlapping donor lifetime') + need(current_old == donors['rows'][replica]['capture_after_event'], 'Actual capture cut') + for row in by_replica[replica]: + field = row['family'] + need(cover_count[field] == 1, 'Capture is after its first gather') + live[field] = native(AXES[:9]) + baseline[field] = native(row['U_columns'][:9]) + statuses[replica] = 'captured' + elif name == 'repair': + need(statuses[replica] == 'captured', 'Repair follows capture') + need(current_old == donors['rows'][replica]['repair_after_event'], 'Actual repair cut') + need(not data_fields & errors.keys(), 'No older data error enters a new repair') + need(all(signature(live[f]) == signature(native(AXES[:17])) for f in own), 'Every repair donor has the exact F17 phase') + for label, row in local_error.items(): + if row: + field = bind[label] + errors[field] = {(8 * replica + a.index(p), route): c for (p, route), c in row.items()} + frames[field] = native(AXES[:17]) + statuses[replica] = 'dirty' + elif name == 'cleanup': + need(statuses[replica] == 'dirty', 'Cleanup follows repair') + need(current_old == donors['rows'][replica]['cleanup_after_event'], 'Actual cleanup cut') + need(all(signature(live[f]) == signature(native(AXES[:25])) for f in own), 'Every cleanup donor has the exact F25 phase') + for label, row in local_error.items(): + expected = {(8 * replica + a.index(p), route): c for (p, route), c in row.items()} + field = bind[label] + need(errors.get(field, {}) == expected, 'All ordered dirty coefficients reach the correct parked field') + if expected: + need(signature(frames[field]) == signature(native(AXES[:25])), 'Exact dirty data F25 phase') + erase = run_local(word['procedures']['cleanup'], repaired, + omit_error=mutation == 'omit_E_correction' and replica == 0) + need(all(not erase[label] for label in local_error), 'All-output cleanup removes every donor-baseline column') + for field in data_fields: + errors.pop(field, None) + frames.pop(field, None) + closing.add(replica) + statuses[replica] = 'closing' + else: + raise ValueError('Unknown procedure') + counts['procedure_' + name] += 1 + else: + raise ValueError('Unknown global operation: ' + op) + need(not errors.keys() & live.keys(), 'Data-error and live-donor supports remain disjoint') + counts['peak_dirty_fields'] = max(counts['peak_dirty_fields'], len(errors)) + counts['peak_live_donors'] = max(counts['peak_live_donors'], len(live)) + log.append([index, current_old, op, len(errors), len(live)]) + close_windows() + need(seen_old == list(range(482)), 'Every original event appears in order exactly once') + need(not errors and not live and len(statuses) == 16, 'No added channel in any final output') + need(all(state == 'closed' for state in statuses.values()), 'All cache windows close') + return {'counts': dict(sorted(counts.items())), + 'boundary_trace_sha256': sha256(json.dumps(log, separators=(',', ':')).encode()).hexdigest(), + 'final_added_baseline_coefficients': 0, + 'checked_output_fields': 14336, 'other_three_pair_fields': 10752, + 'checked_baseline_directions': 128} + + result = trace() + controls = {} + for mutation in ('keep_first_bridge', 'omit_E_correction'): + try: + trace(mutation) + except ValueError as error: + controls[mutation] = str(error) + else: + raise ValueError('Ineffective global control: ' + mutation) + output = {'status': 'PASS_COMPLETE_DIRTY_RECORD_NONINTERFERENCE', + 'comparison': 'Frozen dirty consumer minus the same full-W consumer with clean owned records', + 'source_pins': PINS, 'trace': result, 'negative_controls': controls, + 'literal_repair_and_cleanup_baseline_columns': 8, + 'all_size_method': 'Free ordered route rows plus exact mod-four physical native phases; no constant-cover restriction', + 'native_helper_contract': 'Inherited complete two-sided arbitrary-input endpoint; no internal cut used', + 'extra_correction_scalar_cost': 0, 'extra_correction_native_cost': 0, + 'not_proved': ['The clean reference has the required other three-pair output map', + 'New recursive child hosting', 'Complete stream and precision invoice', + 'Complete supplier or kappa improvement']} + (HERE / 'CHECK.json').write_text(json.dumps(output, indent=2, sort_keys=True) + '\n') + print(json.dumps({'status': output['status'], **result, 'negative_controls': controls}, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/CHECK.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/CHECK.json new file mode 100644 index 0000000000..3d2cae2d0d --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/CHECK.json @@ -0,0 +1,64 @@ +{ + "active_cores": 144, + "comparison": "Same old productive inputs; dirty consumer minus the same full-W clean-owned-record consumer", + "controls": [ + "No final E correction leaves a data column", + "Missing first swap exposes a dirty field at source event 18", + "Each nonempty final adapter removes a nonzero exact baseline phase" + ], + "dirty_nonzero_translation_shifts": 0, + "donor_cut_phase_checks": 384, + "donor_roles": 128, + "donors_with_nonzero_final_adapter_debt": 46, + "excluded": [ + "Required other-three-pair target map", + "New recursive child hosting", + "Complete stream invoice", + "Rounding and complete supplier precision", + "Complete supplier or kappa gain" + ], + "field_swaps": 21504, + "final_added_coefficients": 0, + "final_difference_fields": 14336, + "full_native_core_replayed": false, + "helper_jobs": 69120, + "idle_suffixes": 7526, + "local_baseline_columns": 8, + "method": "Separate exact window audits, complete pending-work reconstruction, and explicit quadratic phases", + "outer_entries": 1506, + "pair_swap_blocks": 96, + "parked_field_phase_checks": 3584, + "peak_dirty_fields": 128, + "peak_live_donors": 48, + "pending_child_partitions": 35840, + "procedure_bindings": 48, + "producer_imported_or_executed": false, + "source_events": 482, + "source_files_preserved": true, + "source_pins": { + "archive-member:candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "archive-member:candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz": "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/common-frame-source/evidence/NATIVE-REVIEW.json": "e9e9287a4a4d1be3c802899a42f70ff5dd5efd1e144a48bd585386fe234832e5", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/REVIEW.json": "a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-DONORS.json": "1769aa102c41b5d81dfc463a64eacb6742601b52c30d566ed0222d8ac99e2d70", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/REVIEW.json": "0e7648b9b4a957b7e142830bebb44485771fa46f5e40a305791b98d37ae8bac3", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/consumer/DIRTY-CONSUMER-WORD.json": "4d2c2ec96d2f9978df0396ce66d6640a061459fbf9f84b10fd7f0556c7117e6c", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/eight-records/EIGHT-RECORD-WORDS.json": "8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json": "bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.json": "17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/CHECK.json": "e9b864b4732b815a3daa32430b366e7f28999186191ac9f77f7c5a36d458bd1a", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/MANIFEST.json": "9b5147aab388d5800f0bd2350fd1db3cc4694d0e4b8d5c762173d42c50f030af", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/PROOF.md": "ff85c23d9114de3197dd3b6d95c8e739358ae545608ee363737f0b5f511959b7", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/check_full_output_dirt.py": "a028a309d5b3b1fd9d65e4363e3306825183f7889c97581d04562f5fad2af652", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json": "74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993", + "work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.json": "4b5d9f7d52df8db7a25d67c645c5b638af08a263b3ce6da69cdf7c20c58a1ce8", + "worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6" + }, + "status": "PASS_INDEPENDENT_ALL_OUTPUT_DIRTY_NONINTERFERENCE", + "support_counts": { + "dirty_helper": 544, + "dirty_translation": 512, + "donor_helper": 262 + } +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/REVIEW.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/REVIEW.json new file mode 100644 index 0000000000..446127fedb --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/REVIEW.json @@ -0,0 +1,86 @@ +{ + "accepted_claim": "All 14336 old outputs equal the same full-W clean-owned-record consumer on the same old productive inputs; all added donor queries, baseline data errors, and donor phase differences are removed.", + "arbitrary_input_scope": "Original productive donors can be correlated with all data; each local identity holds for every capture-coordinate h. No added independent physical input is assumed.", + "clarifications": [ + "512 idle translations are schedule records with zero shifts in these windows", + "96 swaps means complete pair-swap blocks, with 224 field swaps per block", + "Ordinary dependence on original productive donor inputs remains in the reference map" + ], + "excluded": [ + "Required other-three-pair target map", + "New recursive child hosting", + "Complete stream invoice", + "Rounding and complete supplier precision", + "Complete supplier or kappa gain" + ], + "full_native_core_replayed": false, + "independent_checks": { + "active_cores": 144, + "controls": [ + "No final E correction leaves a data column", + "Missing first swap exposes a dirty field at source event 18", + "Each nonempty final adapter removes a nonzero exact baseline phase" + ], + "dirty_nonzero_translation_shifts": 0, + "donor_cut_phase_checks": 384, + "donor_roles": 128, + "donors_with_nonzero_final_adapter_debt": 46, + "field_swaps": 21504, + "helper_jobs": 69120, + "idle_suffixes": 7526, + "local_baseline_columns": 8, + "outer_entries": 1506, + "pair_swap_blocks": 96, + "parked_field_phase_checks": 3584, + "peak_dirty_fields": 128, + "peak_live_donors": 48, + "pending_child_partitions": 35840, + "procedure_bindings": 48, + "source_events": 482, + "support_counts": { + "dirty_helper": 544, + "dirty_translation": 512, + "donor_helper": 262 + } + }, + "inherited_contracts": [ + "Complete local QQ16 maps and two-sided arbitrary helper outputs", + "Eight-record repair and full arbitrary-input one-C cleanup", + "Full-W parked-data consumer", + "Exact donor allocation and native adapters", + "Outer procedure and cover-map order" + ], + "material_findings": [], + "method_limit": "Final equality is an exact support-and-phase invariant with inherited local contracts; no dense global matrix was constructed.", + "producer_imported_or_executed": false, + "publication": "No PR, commit, or push. Before any future PR description read /Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md.", + "review_files": { + "CHECK.json": "149b7153d164a747392ad587e18e39d37ec854264fbd2fe80bb7cc68542d1df5", + "REVIEW.md": "b8217887ea635bd59ee2e0ad937e08c7dfd65664ff0d6946f5b99b02cc636707", + "check_review.py": "d89ce7313c722f8c85d0c21b73e97645ee8670d0c85fb71b769ff26d16e22079" + }, + "review_type": "Proof review and fresh source-bound support and phase replay", + "reviewer_draft_correction": "An early route check assumed width nine for every helper. The final source replay checks reduced-width type-4 routes and their exact spectator axes as well.", + "source_files_preserved": true, + "source_pins": { + "archive-member:candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "archive-member:candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz": "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/common-frame-source/evidence/NATIVE-REVIEW.json": "e9e9287a4a4d1be3c802899a42f70ff5dd5efd1e144a48bd585386fe234832e5", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/common-f-independent-review-20261015/REVIEW.json": "a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-DONORS.json": "1769aa102c41b5d81dfc463a64eacb6742601b52c30d566ed0222d8ac99e2d70", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/REVIEW.json": "0e7648b9b4a957b7e142830bebb44485771fa46f5e40a305791b98d37ae8bac3", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/consumer/DIRTY-CONSUMER-WORD.json": "4d2c2ec96d2f9978df0396ce66d6640a061459fbf9f84b10fd7f0556c7117e6c", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/eight-records/EIGHT-RECORD-WORDS.json": "8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json": "bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.json": "17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/CHECK.json": "e9b864b4732b815a3daa32430b366e7f28999186191ac9f77f7c5a36d458bd1a", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/MANIFEST.json": "9b5147aab388d5800f0bd2350fd1db3cc4694d0e4b8d5c762173d42c50f030af", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/PROOF.md": "ff85c23d9114de3197dd3b6d95c8e739358ae545608ee363737f0b5f511959b7", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/full-output-dirt-20261015/check_full_output_dirt.py": "a028a309d5b3b1fd9d65e4363e3306825183f7889c97581d04562f5fad2af652", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json": "74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993", + "work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.json": "4b5d9f7d52df8db7a25d67c645c5b638af08a263b3ce6da69cdf7c20c58a1ce8", + "worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6" + }, + "status": "ACCEPTED_INDEPENDENT_ALL_OUTPUT_RELATIVE_NONINTERFERENCE" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/REVIEW.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/REVIEW.md new file mode 100644 index 0000000000..5f60594bcb --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/REVIEW.md @@ -0,0 +1,157 @@ +# Independent review of the all-output dirty-record difference + +Accepted within the stated component scope. The frozen dirty-record word +has the same 14,336 old-field outputs as the same full-W consumer with +clean owned records, on the same old productive inputs. The added donor +query, data error, and donor phase difference all vanish. This result does +not identify the required output map of the clean reference on the other +three pairs. It does not prove a complete supplier. + +The reviewed proof is `../../full-output-dirt-20261015/PROOF.md`, with +SHA-256 `ff85c23d9114de3197dd3b6d95c8e739358ae545608ee363737f0b5f511959b7`. +The source manifest is +`9b5147aab388d5800f0bd2350fd1db3cc4694d0e4b8d5c762173d42c50f030af`. +`CHECK.json` pins every source read by the fresh checker. `REVIEW.json` +pins this note, that result, and the independent checker. + +## Reference and arbitrary donor inputs + +The clean and dirty executions have the same old input arrays. An old +productive donor retains its ordinary input dependence in the clean +reference. The theorem removes only the extra dependence caused by its +use as a record. It must not be read as independence from the original +donor input. + +At one repair, the inherited local identity is + + d = z + E h, r = h + G z, G E = 0. + +Here h is the donor value in the specified capture coordinates. Those +coordinates are invertible. Thus h can be any array, including an array +that depends on z or on other old inputs. Fresh formal h columns are a +way to test the local linear identity. They are not new physical inputs. + +The independent replay starts with zero pair data and eight formal donor +columns. It reproduces all 32 nonzero rows of E, with the stated signs. +The literal one-C cleanup removes each of these rows and returns the same +eight donor columns. The separately accepted local cleanup proves query +restoration for arbitrary z and h. This review inherits that full local +contract; it does not infer query restoration from the eight-column check +alone. + +## Independent schedule and phase audit + +The new checker does not import or run any producer or earlier review +module. It reads the selected archive, the phase source, and the frozen +literal words. It rebuilds each old event and each procedure boundary. +It uses separate window checks rather than the producer's global row +trace. + +For every repaired pair, it follows all 224 parked fields from repair to +cleanup. It checks each complete helper job, idle suffix, translation +record, and physical swap. All parked fields avoid active core inputs. +They reach the exact cleanup binding with the common F25 phase. The 32 +nonzero E rows therefore reach the local cleanup in its required frame. + +For every donor, it follows both the old native phase and the phase in +the modified word. It applies each recorded cover matrix in order. It +checks both inverse orders and orthogonality of each donor view. It +checks the exact F9, F17, and F25 phases at the three procedure cuts. The +six cover views compose to the identity. After the final return and A3 +adapter, the donor phase is exactly its old required phase. + +The phase calculation keeps all 73 linear coefficients modulo four and +all quadratic parity coefficients. This checks the character identity +for every address character. It is not a sample of characters or a +constant-cover check. The inherited native contracts then give the same +identity on arbitrary full-cover arrays and at every tensor width. + +Each nonempty final A3 adapter removes a nonzero native phase difference. +There are 46 such donors. Live-donor support therefore includes the +baseline phase difference, as well as the temporary query. It would be +incorrect to track only the query coefficient. + +The global support audit checks all overlaps of these windows. No active +data input reads either live support. No swap touches a live donor. No +other procedure reads a live donor as data or reads an earlier dirty pair. +No new donor map or adapter touches a dirty data row. All relevant helper +uses are complete calls, where the inherited arbitrary-input helper +contract has zero dependence on that helper in every other output. + +These facts prove the induction over the ordered word. The difference is +confined to the current dirty rows and live donors. Each cleanup and A3 +adapter closes its window. No difference remains before the final X +lines or common cover correction. Since the local identities hold for +arbitrary arguments, the proof permits correlated actual donor values. +No independence assumption or feedback inverse is used. + +## Exact finite results + +| Check | Count | +| --- | ---: | +| Old source events | 482 | +| Literal outer entries | 1,506 | +| Active complete cores | 144 | +| Complete helper jobs | 69,120 | +| Idle suffixes | 7,526 | +| Complete pending-child partitions | 35,840 | +| Complete pair-swap blocks | 96 | +| Individual field swaps in those blocks | 21,504 | +| Distinct donor roles | 128 | +| Procedure bindings | 48 | +| Parked-field cut phase checks | 3,584 | +| Donor cut phase checks | 384 | +| Helper jobs on dirty data | 544 | +| Scheduled idle translation records on dirty data | 512 | +| Nonzero shifts in those 512 records | 0 | +| Helper jobs on live donors | 262 | +| Peak dirty fields | 128 | +| Peak live donors | 48 | + +The count of 512 is a schedule-record count. It does not count 512 +nontrivial translations. The count of 96 is a count of complete pair-swap +blocks, each with 224 field swaps. + +All pending-child partitions have complete disjoint axis intervals. All +helper owners match their literal routes, including the reduced-width +type-4 routes and their spectator axes. An early draft of this reviewer +incorrectly expected a width-nine route for every helper. That draft +stopped at the first type-4 route. The final checker reconstructs both +route types from the source. This was a reviewer correction, not a defect +in the producer packet. + +The controls detect the required failures. Omission of the final E +correction leaves a nonzero data column. Without the first complete swap, +the nonzero dirty support meets the actual F2 active input at source +event 18. Removal of any nonempty final A3 phase leaves an exact native +phase difference on that donor. + +## Inherited scope and limits + +The following accepted contracts are premises: complete QQ16 core and +helper outputs; local eight-record repair and delayed cleanup; full-W +parking; donor allocation and native adapters; and the outer composition. +Their exact receipt pins are in `CHECK.json`. No raw 704-column core or +large native kernel replay was repeated in this review. + +The equality on all final fields follows from the finite support and +phase audit plus those contracts. The checker does not build a dense +14,336-field operator matrix. It adds no correction to the frozen word, +so this theorem adds no native, scalar, or storage cost. It does not reduce +or independently re-price the existing component invoice. + +New recursive child hosting, a complete stream invoice, accumulated +rounding, complete supplier precision, the clean reference's other-pair +target map, and a kappa gain remain outside this review. + +Run the independent check from the workspace root: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/check_review.py +``` + +Observed status: `PASS_INDEPENDENT_ALL_OUTPUT_DIRTY_NONINTERFERENCE`. +The source files were unchanged after the check. More than 3 GiB of free +space remained. OpenAI Codex supplied this independent review and checker. +No PR, commit, or push was made. Before any future PR description, read +`/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/check_review.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/check_review.py new file mode 100644 index 0000000000..fbcd060aa8 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/check_review.py @@ -0,0 +1,448 @@ +"""Check the frozen all-output difference by separate window audits.""" + +from collections import Counter, defaultdict +from fractions import Fraction as F +from hashlib import sha256 +import gzip +import json +from pathlib import Path +import shutil +import tarfile + + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[6] +LANES = HERE.parents[3] +SOURCE = HERE.parents[1] / 'full-output-dirt-20261015' +PORTABLE = LANES / 'portable-source-codes/dirty-record-hosting-20261015' +AXES = tuple(1 << j for j in range(73)) +PINS = {} + + +def require(value, message): + if not value: + raise ValueError(message) + + +def read(path, digest): + raw = path.read_bytes() + require(sha256(raw).hexdigest() == digest, 'Source pin: ' + str(path)) + PINS[str(path.relative_to(ROOT))] = digest + return raw + + +def family(replica, pair, side, port): + return replica * 896 + pair * 224 + side * 112 + port + + +def action(columns, value): + result = 0 + for j, column in enumerate(columns): + if value >> j & 1: + result ^= column + return result + + +def product(left, right): + return tuple(action(left, column) for column in right) + + +def native(axes, shift=0): + result = Counter(axes) + if shift: + result[shift] += 2 + return {v: c % 4 for v, c in result.items() if v and c % 4} + + +def add_phase(left, right): + result = dict(left) + for v, c in right.items(): + result[v] = (result.get(v, 0) + c) % 4 + if not result[v]: + del result[v] + return result + + +def transform(columns, phase): + result = {} + for v, c in phase.items(): + result = add_phase(result, {action(columns, v): c}) + return result + + +def polynomial(phase): + # Keep explicit linear coefficients and quadratic adjacency rows. + linear, pairs = [0] * 73, [0] * 73 + for v, c in phase.items(): + bits = [j for j in range(73) if v >> j & 1] + for j in bits: + linear[j] = (linear[j] + c) % 4 + if c % 2: + for at, j in enumerate(bits): + for k in bits[at + 1:]: + pairs[j] ^= 1 << k + return tuple(linear), tuple(pairs) + + +def verify_packed_recipe(recipe): + linear, pairs = polynomial(native(recipe['axes'], recipe['translation'])) + low, high, packed = recipe['phase'] + require(all(linear[j] == ((low >> j & 1) + 2 * (high >> j & 1)) for j in range(73)), + 'Exact adapter linear phase') + require(all((pairs[j] >> k & 1) == (packed >> (k * (k - 1) // 2 + j) & 1) + for j in range(73) for k in range(j + 1, 73)), 'Exact adapter quadratic phase') + + +def axpy(left, right, scalar): + out = dict(left) + for key, value in right.items(): + out[key] = out.get(key, 0) + scalar * value + if not out[key]: + del out[key] + return out + + +def local_replay(events, initial): + rows = {name: dict(value) for name, value in initial.items()} + private = False + for event in events: + op = event['op'] + if op == 'add': + rows[event['dst']] = axpy(rows[event['dst']], rows[event['src']], F(event['c'])) + elif op == 'scale': + rows[event['field']] = axpy({}, rows[event['field']], F(event['c'])) + elif op == 'map': + letter = tuple(event['letter']) + rows[event['field']] = {(p, w[1:] if w and w[0] == letter else (letter,) + w): c + for (p, w), c in rows[event['field']].items()} + elif op == 'line': + require(not rows[event['field']], 'The repair line precedes donor-error creation') + elif op == 'private_begin': + require(not private, 'Local private entry') + private = True + elif op == 'private_end': + require(private and not rows['C'], 'Local private zero exit') + private = False + elif op == 'clear': + require(private and event['field'] == 'C', 'Only owned scratch is cleared') + rows['C'] = {} + else: + raise ValueError('Unexpected local operation: ' + op) + require(not private, 'Complete local private body') + return rows + + +def main(): + require(shutil.disk_usage(HERE).free >= 3 * 1024 ** 3, 'Three GiB free') + manifest = json.loads(read(SOURCE / 'MANIFEST.json', + '9b5147aab388d5800f0bd2350fd1db3cc4694d0e4b8d5c762173d42c50f030af')) + for name, digest in manifest['files'].items(): + read(SOURCE / name, digest) + receipt = json.loads((SOURCE / 'CHECK.json').read_text()) + for path, digest in receipt['source_pins'].items(): + if not path.startswith('archive-member:'): + read(ROOT / path, digest) + word = json.loads((PORTABLE / 'consumer/DIRTY-CONSUMER-WORD.json').read_text()) + donors = json.loads((PORTABLE / 'TWO-CUT-DONORS.json').read_text()) + local = json.loads((PORTABLE / 'eight-records/EIGHT-RECORD-WORDS.json').read_text()) + cleanup = json.loads((SOURCE.parent / 'eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json').read_text()) + cert = json.loads(gzip.decompress((LANES / 'paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz').read_bytes())) + archive = ROOT / 'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' + decoded = {} + with tarfile.open(archive) as stream: + for label, member in [('template', 'candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz'), + ('phases', 'candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json')]: + raw = stream.extractfile(member).read() + digest = receipt['source_pins']['archive-member:' + member] + require(sha256(raw).hexdigest() == digest, 'Archive member: ' + member) + PINS['archive-member:' + member] = digest + decoded[label] = json.loads(gzip.decompress(raw) if member.endswith('.gz') else raw) + template, phase_source = decoded['template'], decoded['phases']['recipes'] + events, calls = template['execution_schedule'], template['calls'] + require(template['live'] == 16 * 4 * 2 * 112 == 14336, 'All original output families') + require(len(events) == 482 and len(calls) == 144 and len(word['schedule']) == 1506, 'Complete schedule sizes') + require(word['procedures']['capture'] == local['dirty_eight_A_before_cleanup']['capture'], 'Capture bytes') + require(word['procedures']['repair'] == [e for e in local['dirty_eight_A_before_cleanup']['repair'] if e['op'] != 'stage'], 'Repair bytes and removed synthetic lifts') + require(word['procedures']['cleanup'] == cleanup['cleanup'], 'Cleanup bytes') + a, t = tuple(cert['A_ports']), tuple(cert['T_ports']) + r = [[F(row.get(str(p), 0)) for p in range(112)] for row in cert['R_rows']] + dot = lambda p, q: sum(r[k][p] * r[k][q] for k in range(8)) / 4 + error = {f'{side}{p}': {} for side in ('X', 'Y') for p in range(112)} + for p in a: + error['X' + str(p)] = {(p, ()): F(-1)} + for p in t: + error['X' + str(p)] = {(q, ()): dot(p, q) for q in a if dot(p, q)} + for p in range(112): + error['Y' + str(p)] = axpy({}, error['X' + str(p)], -1) + support = {name for name, row in error.items() if row} + require(len(support) == 32, 'Exact error support') + probe = {name: {} for name in error} + probe.update({'R' + str(p): {(p, ()): F(1)} for p in a}) + probe['C'] = {} + repaired = local_replay(word['procedures']['repair'], probe) + require(all(repaired[name] == row for name, row in error.items()), 'Every local baseline column') + require(all(repaired['R' + str(p)] == probe['R' + str(p)] for p in a), 'Local donor-baseline rows') + restored = local_replay(word['procedures']['cleanup'], repaired) + require(all(not restored[name] for name in error) and all(restored['R' + str(p)] == probe['R' + str(p)] for p in a), 'Literal baseline cleanup') + no_e = local_replay(word['procedures']['cleanup'][:-len(cleanup['selected_error_correction'])], repaired) + require(any(no_e[name] for name in error), 'Omission of the final E correction fails') + + outer = word['schedule'] + anchors = [(i, e['old_event']) for i, e in enumerate(outer) if 'old_event' in e] + require([old for _, old in anchors] == list(range(482)), 'Every source event once and in order') + outer_at = {old: i for i, old in anchors} + old_at = {} + for at, (begin, old) in enumerate(anchors): + end = anchors[at + 1][0] if at + 1 < len(anchors) else len(outer) + old_at.update({i: old for i in range(begin, end)}) + time_at = {e['time']: i for i, e in enumerate(events) if e['kind'] == 'local_cover_sweep'} + active = {} + for time, call in enumerate(calls): + require(call['time'] == time, 'Original call index') + expected = [[family(call['replica'], call['pair'], side, p), [1, call['stage'], p]] + for side in range(2) for p in range(112)] + require(call['owners'][:224] == expected, 'All actual active owner bindings') + require(len(call['owners']) == 704 and len({v[0] for v in call['owners']}) == 704, 'Distinct complete-core owners') + active[time_at[time]] = {v[0] for v in expected} + + deadlines, partitions, jobs = {}, defaultdict(list), defaultdict(list) + for old, event in enumerate(events): + if event['kind'] == 'idle_cover_sweep': + for side, child in enumerate(event['child_indices']): + for p in range(112): + field = family(event['replica'], event['pair'], side, p) + require((field, child) not in deadlines, 'One pending-child deadline') + deadlines[field, child] = old + shift = phase_source[p]['idle_children'][child]['translation_after'] + jobs[old].append((field, (), shift, 'translation')) + for job in template['hosting']['pooled_slots']: + field, child, offset, width = (job[k] for k in ('family', 'child', 'offset', 'width')) + call = calls[job['time']] + deadline = events[deadlines[field, child]] + first_axis = 1 + 8 * (deadline['from_level'] + 1) + offset + spectators = [j for j in range(73) if not first_axis <= j < first_axis + width][:9 - width] + route = [3, child, offset] if width == 9 else [4, child, offset, width, spectators] + require(call['owners'][224 + job['helper']] == [field, route], 'Full native helper owner route') + require(job['port'] == field % 112 and job['owner_replica'] == field // 896, 'Helper family coordinates') + axes = phase_source[job['port']]['idle_children'][child]['orthogonal_axes'][offset:offset + width] + old = time_at[job['time']] + require(len(axes) == width and old < deadlines[field, child], 'Complete helper axes before deadline') + partitions[field, child].append((offset, width)) + jobs[old].append((field, tuple(axes), 0, 'helper')) + for job in template['idle_children']: + field, child, offset, width = (job[k] for k in ('family', 'child', 'pending_offset', 'rank')) + axes = phase_source[job['port']]['idle_children'][child]['orthogonal_axes'][offset:] + require(len(axes) == width, 'Complete idle suffix') + partitions[field, child].append((offset, width)) + jobs[deadlines[field, child]].append((field, tuple(axes), 0, 'suffix')) + require(len(deadlines) == 35840 and len(template['hosting']['pooled_slots']) == 69120 + and len(template['idle_children']) == 7526, 'Complete old pending-work census') + for (field, child), deadline in deadlines.items(): + total = 0 + for offset, width in sorted(partitions[field, child]): + require(offset == total and width > 0, 'Complete disjoint pending-child partition') + total += width + require(total == phase_source[field % 112]['idle_children'][child]['rank'], 'All pending axes accounted for') + jobs_by_field = {(old, field): [(axes, shift, kind) for f, axes, shift, kind in group if f == field] + for old, group in jobs.items() for field in {x[0] for x in group}} + + selected = sorted(donors['allocations']['all']['selected'], key=lambda x: x['role']) + require([x['role'] for x in selected] == list(range(128)) and len({x['family'] for x in selected}) == 128, + 'All distinct donor roles') + by_family = {row['family']: row for row in selected} + procedures, cuts = {}, {} + for replica in range(16): + cuts[replica] = [next(i for i, e in enumerate(events) if e.get('replica') == replica and + e['kind'] == kind and e.get('source_event') == source) + for kind, source in [('local_cover_sweep', 0), ('local_cover_sweep', 1), ('idle_cover_sweep', 5)]] + require(cuts[replica] == [donors['rows'][replica][key] for key in + ('capture_after_event', 'repair_after_event', 'cleanup_after_event')], 'Rebuilt three cuts') + chosen = selected[replica * 8:replica * 8 + 8] + for cut_number, name in enumerate(('capture', 'repair', 'cleanup')): + old = cuts[replica][cut_number] + pair = 1 if name == 'cleanup' else 0 + bind = {f'{side}{p}': family(replica, pair, j, p) for j, side in enumerate(('X', 'Y')) for p in range(112)} + bind.update({'R' + str(p): row['family'] for p, row in zip(a, chosen)}) + bind['C'] = 14336 + expected = [] + if name != 'capture': + for row in chosen: + recipe = row['adapters'][cut_number - 1] + if recipe['axes'] or recipe['translation']: + expected.append(dict(op='native_adapter', field=row['family'], recipe=recipe)) + expected += [dict(op='donor_cover_map', field=row['family'], columns=row['U_inverse_columns']) for row in chosen] + expected += [dict(op='call_procedure', name=name, bindings=bind)] + expected += [dict(op='donor_cover_map', field=row['family'], columns=row['U_columns']) for row in chosen] + if name == 'cleanup': + for row in chosen: + recipe = row['adapters'][2] + if recipe['axes'] or recipe['translation']: + expected.append(dict(op='native_adapter', field=row['family'], recipe=recipe)) + end = outer_at[old + 1] + require(outer[outer_at[old] + 1:end] == expected, 'Exact outer boundary order and all field bindings') + index = outer_at[old] + 1 + next(i for i, e in enumerate(expected) if e['op'] == 'call_procedure') + procedures[replica, name] = index, bind + + swap_count = 0 + for index, event in enumerate(outer): + if 'old_event' not in event: + continue + old = events[event['old_event']] + if old['kind'] == 'bridge': + if old['source_event'] <= 18: + require(event == dict(op='physical_pair_swap', old_event=event['old_event'], replica=old['replica'], + src_pair=old['src'], dst_pair=old['dst'], ports=list(range(112)), + ordered_scalar_word=['a+=b', 'b-=a', 'a+=b', 'b=-b']), 'Actual complete swap word') + swap_count += 1 + else: + require(event['op'] == 'omit_full_W_bridge', 'Same clean-reference late bridge omission') + elif old['kind'] in ('terminal_Y_translations', 'terminal'): + require(event['op'] == 'omit_full_W_terminal', 'Same clean-reference terminal omission') + else: + require(event['op'] == 'retained_event', 'All other source events retained') + require(swap_count == 96, 'All physical pair-swap blocks') + + dirty_at = [set() for _ in outer] + live_at = [set() for _ in outer] + counts = Counter() + dirty_phase_checks = 0 + for replica in range(16): + start, bind = procedures[replica, 'repair'] + stop, end_bind = procedures[replica, 'cleanup'] + places = {name: bind[name] for name in error} + phases = {name: native(AXES[:17]) for name in error} + moves = 0 + for index in range(start + 1, stop + 1): + event = outer[index] + current = {places[name] for name in support} + dirty_at[index].update(current) + if event['op'] == 'retained_event': + old = event['old_event'] + require(not active.get(old, set()) & set(places.values()), 'Protected full pair enters active core at ' + str(old)) + reverse = {field: name for name, field in places.items()} + for field, axes, shift, kind in jobs[old]: + if field in reverse: + name = reverse[field] + phases[name] = add_phase(phases[name], native(axes, shift)) + if name in support: + counts['dirty_' + kind] += 1 + if kind == 'translation' and shift: + counts['dirty_nonzero_translations'] += 1 + elif event['op'] == 'physical_pair_swap': + if event['replica'] == replica: + left, right = event['src_pair'], event['dst_pair'] + for name, field in list(places.items()): + pair = field % 896 // 224 + if pair in (left, right): + places[name] += 224 * ((right if pair == left else left) - pair) + moves += 1 + elif event['op'] in ('donor_cover_map', 'native_adapter'): + require(event['field'] not in current, 'New donor operation touches a dirty data field') + elif event['op'] == 'call_procedure' and index != stop: + touched = set(event['bindings'].values()) + require(not current & touched, 'A different procedure touches an older dirty row') + require(moves == 1, 'Only the first swap moves dirty data before cleanup') + require(places == {name: end_bind[name] for name in error}, 'All 224 parked fields at exact cleanup bindings') + require(all(polynomial(p) == polynomial(native(AXES[:25])) for p in phases.values()), 'Full parked pair reaches exact F25') + dirty_phase_checks += len(phases) + + donor_phase_checks = 0 + final_adapter_debts = 0 + for row in selected: + role, field = row['role'], row['family'] + replica = role // 8 + first_old, _, last_old = cuts[replica] + start, stop = outer_at[first_old] + 1, outer_at[last_old + 1] + for index in range(start, stop): + live_at[index].add(field) + u, inverse_u = tuple(row['U_columns']), tuple(row['U_inverse_columns']) + require(product(u, inverse_u) == AXES and product(inverse_u, u) == AXES, 'Both donor cover inverse orders') + require(all((u[j] & u[k]).bit_count() % 2 == (j == k) for j in range(73) for k in range(73)), 'Orthogonal donor view') + phase = reference = native(u[:9]) + net_owner = AXES + seen_maps = 0 + phase_without_last = None + for index in range(start, stop): + event = outer[index] + if event['op'] == 'retained_event': + for axes, shift, kind in jobs_by_field.get((event['old_event'], field), ()): + increment = native(axes, shift) + phase, reference = add_phase(phase, increment), add_phase(reference, increment) + counts['donor_' + kind] += 1 + elif event['op'] == 'donor_cover_map' and event['field'] == field: + phase = transform(event['columns'], phase) + net_owner = product(event['columns'], net_owner) + seen_maps += 1 + elif event['op'] == 'native_adapter' and event['field'] == field: + verify_packed_recipe(event['recipe']) + if index > procedures[replica, 'cleanup'][0]: + phase_without_last = dict(phase) + phase = add_phase(phase, native(event['recipe']['axes'], event['recipe']['translation'])) + elif event['op'] == 'call_procedure' and index in [procedures[replica, name][0] for name in ('capture', 'repair', 'cleanup')]: + width = {'capture': 9, 'repair': 17, 'cleanup': 25}[event['name']] + require(polynomial(phase) == polynomial(native(AXES[:width])), 'Exact live donor phase at each named cut') + donor_phase_checks += 1 + require(seen_maps == 6 and net_owner == AXES, 'Same donor cover values restored after all three views') + require(polynomial(phase) == polynomial(reference), 'Every donor returns its old physical baseline operator') + if phase_without_last is not None: + require(polynomial(phase_without_last) != polynomial(reference), 'Final native adapter removes real baseline phase debt') + final_adapter_debts += 1 + + for index, event in enumerate(outer): + dirty, live = dirty_at[index], live_at[index] + require(not dirty & live, 'No cross-window dirty/live overlap') + if event['op'] == 'retained_event': + old = event['old_event'] + require(not active.get(old, set()) & (dirty | live), 'No added channel reaches an active input') + if events[old]['kind'] in ('translate_every_live_family', 'bank_padding_cover_sweep'): + require(not dirty and not live, 'All windows closed before the final correction') + elif event['op'] == 'physical_pair_swap': + touched = {family(event['replica'], pair, side, p) for pair in (event['src_pair'], event['dst_pair']) + for side in range(2) for p in range(112)} + require(not touched & live, 'A complete swap cannot read a live donor') + elif event['op'] == 'call_procedure': + fields = event['bindings'] + data_fields = {fields[name] for name in error} + record_fields = {fields['R' + str(p)] for p in a} + require(not data_fields & live and not record_fields & dirty, 'No cross-window procedural access') + if event['name'] != 'cleanup': + require(not data_fields & dirty, 'New capture or repair has no old dirty input') + elif event['op'] == 'positive_X_lines': + require(not dirty and not live, 'All extra channels vanish before final positive lines') + require(len(active) == 144 and counts['dirty_helper'] == 544 and counts['dirty_translation'] == 512 + and counts['donor_helper'] == 262, 'Independent support census') + peak_dirty, peak_live = max(map(len, dirty_at)), max(map(len, live_at)) + require((peak_dirty, peak_live) == (128, 48), 'Peak support counts') + unparked = {family(0, 0, int(name[0] == 'Y'), int(name[1:])) for name in support} + require(unparked & active[18], 'Missing first swap exposes a dirty field to the actual F2 call') + require(not dirty_at[-1] and not live_at[-1], 'No added channel at any final output') + + for path, digest in PINS.items(): + if not path.startswith('archive-member:'): + require(sha256((ROOT / path).read_bytes()).hexdigest() == digest, 'Frozen source preserved') + result = {'status': 'PASS_INDEPENDENT_ALL_OUTPUT_DIRTY_NONINTERFERENCE', + 'comparison': 'Same old productive inputs; dirty consumer minus the same full-W clean-owned-record consumer', + 'source_pins': PINS, 'method': 'Separate exact window audits, complete pending-work reconstruction, and explicit quadratic phases', + 'source_events': 482, 'outer_entries': 1506, 'active_cores': 144, + 'helper_jobs': 69120, 'idle_suffixes': 7526, 'pending_child_partitions': 35840, + 'pair_swap_blocks': swap_count, 'field_swaps': swap_count * 224, + 'donor_roles': 128, 'procedure_bindings': 48, 'local_baseline_columns': 8, + 'parked_field_phase_checks': dirty_phase_checks, 'donor_cut_phase_checks': donor_phase_checks, + 'donors_with_nonzero_final_adapter_debt': final_adapter_debts, + 'support_counts': dict(counts), 'peak_dirty_fields': peak_dirty, 'peak_live_donors': peak_live, + 'dirty_nonzero_translation_shifts': counts['dirty_nonzero_translations'], + 'final_difference_fields': 14336, 'final_added_coefficients': 0, + 'controls': ['No final E correction leaves a data column', 'Missing first swap exposes a dirty field at source event 18', + 'Each nonempty final adapter removes a nonzero exact baseline phase'], + 'producer_imported_or_executed': False, 'full_native_core_replayed': False, + 'source_files_preserved': True, + 'excluded': ['Required other-three-pair target map', 'New recursive child hosting', 'Complete stream invoice', + 'Rounding and complete supplier precision', 'Complete supplier or kappa gain']} + (HERE / 'CHECK.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + print(json.dumps({k: result[k] for k in ('support_counts', 'parked_field_phase_checks', 'donor_cut_phase_checks', + 'donors_with_nonzero_final_adapter_debt', 'peak_dirty_fields', 'peak_live_donors')}, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/CHECK.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/CHECK.json new file mode 100644 index 0000000000..097b460650 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/CHECK.json @@ -0,0 +1,76 @@ +{ + "actual_completed_stage_views": 224, + "additional_controls": [ + "missing_second_donor_advance", + "changed_payload_translation" + ], + "formal_method": "Exact rational rows in free involutive full-cover map words", + "inherited_predecessor_replayed": false, + "input_columns_per_word": { + "data": 224, + "donors": 8, + "helpers": 480, + "owned_scratch": 1 + }, + "negative_controls": { + "DELAYED-CLEANUP-ONE-C-WORD.json": [ + "omitted_E_correction", + "stage1_query_in_place_of_stage2" + ], + "DELAYED-CLEANUP-WORD.json": [ + "omitted_E_correction", + "stage1_query_in_place_of_stage2" + ] + }, + "phase_signature_points_per_view": 2702, + "producer_imported_or_executed": false, + "scalar_parts": { + "F0": 10112, + "F0_inverse": 10112, + "N2": 4160, + "alias": 9426, + "alias_inverse": 9426, + "minus_E": 768 + }, + "source_files_preserved": true, + "source_pins": { + "paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "residual-syndrome/physical-algebra/eight-record-review-20261015/CHECK.json": "31da36ae73f8f1164027030ab2b80bf04112387d77bfc21373810990292b035f", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-MANIFEST.json": "b23074aa39523c88da7fe5c27e26e63b2ffc36567762105e55ffad15999da405", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json": "bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C.json": "5585a4cb43244118dfe7fdadc04123bc7271e5d88ca5416725a12db2be4287d3", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-WORD.json": "bf3df2f047e4edb26ce2b73d3919db862f1cd630ee90fda5f3144469bdde7883", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP.json": "e74767b62b786c17649b23ff199953d42ea428de650bcfd5452e8709373cca9b", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP.md": "de6c40e4b2f8280dd5406e7ccfbe8a8adbe476b379404403b5b0d8dd73224d04", + "residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.json": "17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4", + "residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.md": "ed3b03a8ce457975be0b4888f26df35f80a2fb1f05af7f08799ba545dd82a708", + "residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup.py": "ff0faf0c02608cb7d3ecbd66f5f7b59c648232644a581bd2dfea7ff778e77246", + "residual-syndrome/physical-algebra/eight-record-review-20261015/check_delayed_cleanup_one_c.py": "4ac8d83779332cd21bced534b9dd49e9697a69e02e2679e790a751bf821afff1", + "residual-syndrome/physical-algebra/eight-record-review-20261015/review_eight_records.py": "51cb8354f817ca877583b6982bb553a7472ac21a34bfa0cf90f701b3bdc491d4" + }, + "status": "PASS_INDEPENDENT_CONDITIONAL_DELAYED_CLEANUP", + "whole_words": { + "DELAYED-CLEANUP-ONE-C-WORD.json": { + "cover_maps": 224, + "event_counts": { + "add": 2432, + "clear": 18, + "map": 224, + "private_begin": 2, + "private_end": 2 + }, + "native_children": 0, + "scalar_allowance": 23780 + }, + "DELAYED-CLEANUP-WORD.json": { + "cover_maps": 224, + "event_counts": { + "add": 2596, + "map": 224, + "scale": 96 + }, + "native_children": 0, + "scalar_allowance": 25152 + } + } +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json new file mode 100644 index 0000000000..322711f7fa --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json @@ -0,0 +1,92 @@ +{ + "accepted_scope": [ + "Arbitrary dirty encoding d=z+Eh and r=h+N2Vz with VE=0", + "Exact ordered two-interval donor restoration under all three boundary views", + "Full-W parked-data premise from the accepted consumer", + "Both literal local cleanup words on all 713 input columns", + "Actual stage-2 owner and payload views with exact phases", + "All data and donor restoration, unchanged borrowed helpers, owned scratch semantics", + "Exact local scalar allowances 25152 and 23780, with 224 maps each" + ], + "artifacts": { + "CHECK.json": "81de6dd7775ece26df5593ee816a932d497d3bab354a1c90cbd3c5835331c26c", + "REVIEW.md": "1ca1d617294591f074f168b16c640a8bbf8a7d4aedae5fa87a2b0d1fc81c602b", + "SOURCE-BINDING.json": "bb4a84ce598ad5788738260d7f3bf17e555b1d7d470bb07db2c9019dd653857e", + "check_review.py": "8480c97c58c65ffe35b38734b3130f26c4913a16b67301deac88acbb90b57cac", + "check_source_binding.py": "7c6db0bad927042c63a187caac86438de0a3dd846f3ca64efa3220537bd2889a" + }, + "checks": { + "additional_controls": [ + "missing_second_donor_advance", + "changed_payload_translation" + ], + "completed_stage_view_recipes": 224, + "inherited_source_inverse_events": 970, + "input_columns_per_word": { + "data": 224, + "donors": 8, + "helpers": 480, + "owned_scratch": 1 + }, + "negative_controls": { + "DELAYED-CLEANUP-ONE-C-WORD.json": [ + "omitted_E_correction", + "stage1_query_in_place_of_stage2" + ], + "DELAYED-CLEANUP-WORD.json": [ + "omitted_E_correction", + "stage1_query_in_place_of_stage2" + ] + }, + "phase_signature_points_per_recipe": 2702 + }, + "excluded_scope": [ + "New donor allocation or active-owner schedule replay", + "New boundary adapter costs", + "Physical stream invoice", + "Native child kernels or recursive hosting", + "Earlier input precision or complete supplier precision", + "Other bank output maps", + "Complete supplier or kappa improvement" + ], + "free_bytes_at_freeze": 15388839936, + "inherited_full_W_consumer_review_sha256": "a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef", + "inherited_local_review_sha256": "17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4", + "material_findings": [], + "predecessor_and_global_consumer_replayed": false, + "producer_and_prior_review_files_changed": false, + "producer_imported_or_executed": false, + "producer_manifest_sha256": "b23074aa39523c88da7fe5c27e26e63b2ffc36567762105e55ffad15999da405", + "producer_proof_sha256": "de6c40e4b2f8280dd5406e7ccfbe8a8adbe476b379404403b5b0d8dd73224d04", + "producer_words": { + "DELAYED-CLEANUP-ONE-C-WORD.json": "bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880", + "DELAYED-CLEANUP-WORD.json": "bf3df2f047e4edb26ce2b73d3919db862f1cd630ee90fda5f3144469bdde7883" + }, + "reviewer_draft_correction": "The initial route extractor required exactly two L-view events. Eight T ports also have later typing views. The final checker binds the first complete view pair, as confirmed by source inspection.", + "separate_precision_review": "PREFIX-REVIEW.json", + "status": "PASS_INDEPENDENT_CONDITIONAL_DELAYED_DIRTY_RECORD_CLEANUP", + "whole_word_invoices": { + "DELAYED-CLEANUP-ONE-C-WORD.json": { + "cover_maps": 224, + "event_counts": { + "add": 2432, + "clear": 18, + "map": 224, + "private_begin": 2, + "private_end": 2 + }, + "native_children": 0, + "scalar_allowance": 23780 + }, + "DELAYED-CLEANUP-WORD.json": { + "cover_maps": 224, + "event_counts": { + "add": 2596, + "map": 224, + "scale": 96 + }, + "native_children": 0, + "scalar_allowance": 25152 + } + } +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.md new file mode 100644 index 0000000000..6a8d7eac9a --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.md @@ -0,0 +1,128 @@ +# Independent review of conditional dirty-record cleanup + +Both frozen cleanup words pass. The result is conditional on the named +common completed data cut and on both donor transport identities. No +donor allocation is supplied by this review. The earlier local repair +and the full-W consumer are inherited from their pinned independent +reviews. They were not run again. + +## Algebra and donor transport + +The initial contract is `d=z+E h`, `r=h+N2 Vz`, with arbitrary data z +and arbitrary donor baseline h. The actual A and T minors have Gram +matrix `4I`. Hence `R0 E_X=-R0A h+R0T P0T R0A h=0`. Also +`E_Y=-E_X`. Each off-A row of V is the selected sum minus its stated +response to `R0 X`, so `VE=0`. Thus `G=N2 V` satisfies `GE=0`. + +An exact read `r-=Gd` therefore gives h. The later update `d-=Eh` is +still required. It returns every original data value. The two maps have +the ordered inverse factorization of the initial dirty encoding; there +is no clean-donor assumption. + +The physical donor proof uses all three views. The two hypotheses give + + C2 T2 T1 C0^-1 = F_U2 F_L^-1. + +For `h=F_L^-1 C0 a`, the final unviewed value is + + C2^-1 F_U2 h = T2 T1 a. + +The order is correct without any commutation assumption. The same +middle view C1 must occur in both identities, and the physical donor +must have the stated owner and cover identification throughout. Exact +translations and phases belong in those identities. A rank match alone +does not imply them. The donor may start with any physical input a. + +The full-W consumer is the relevant inherited cut. Its first swap parks +all 224 data fields in pair 1 through F2; the complete idle advances them +to the common level-2 frame. A subset containing only A and T does not +supply the 104 off-A reads. The earlier consumer review proves its +physical swap and complete helper argument for arbitrary fields. It +therefore applies when the parked fields contain `z+Eh`. It does not +permit a partial helper cut or an active use of the donor. Any new donor +allocation must check the exclusions stated in the producer proof. + +## Literal words and physical views + +The zero-work word first applies the scalar F0 content map. Its off-A +Y output is exactly Vd on all 224 independent data inputs. It then +performs the full stage-2 query, applies the literal inverse of F0, and +removes Eh. The 970-event source inverse is the exact retained slice +of the accepted local word. The new F0 block contains its literal +inverse. No matrix-inverse oracle is used. + +The one-C word keeps X fixed and makes the same off-A Y alias by a +shear. All eight query rows use the same owned scratch. Each row begins +with an owned clear. The final clear returns C to zero in the identity +frame before the next owner. The inverse shear restores the data before +the final Eh correction. Its arbitrary scratch input is discarded under +the owned contract; no donor or borrowed helper is cleared. + +A fresh interpreter read the literal JSON words. It imported and ran no +producer module. It started from the inherited dirty contract, rather +than repeating the predecessor repair. Each word was checked on 224 +data symbols, eight donor symbols, 480 helper symbols, and one scratch +symbol. Exact rational coefficients and free involutive route words +were retained. Only the checked involution relations were used. An +identity in this free algebra also holds in the actual route group. + +The review checks each complete route against its 73-axis owner matrix +and payload translation from the pinned source. It checks orthogonality, +both parts of the involution, and the exact F_U2 phase. The phase check +uses zero, 73 basis vectors, and all 2,628 coordinate pairs; these values +determine the mod-four quadratic phase, including its constant. It +checks 224 stage-1 and stage-2 recipes. The cleanup uses only the actual +stage-2 recipes, in complete gather, read, and return sweeps. Each ADD +has a matching physical frame. The one-C private sweeps occur outside +the map sweeps. These equalities hold for every Fourier character and +extend to every tensor width and cover owner under the inherited frame +interface. + +Both complete words restore z and h. All 480 helpers are untouched. +The zero-work word leaves arbitrary C unchanged; the one-C word returns +it to zero. Separate checks verify F0 on arbitrary data, its inverse, +and the alias shear with its inverse. Controls reject omission of the +Eh correction, substitution of the stage-1 query, a missing second +donor advance, and a changed payload translation. The two query stages +also differ in an actual owner-matrix coefficient; their distinction is +not only a formal label choice. + +## Counts and limits + +The scalar allowance uses the same retained real-primitive convention +as the accepted local word. It is a literal count under that convention, +not a minimum arithmetic cost. + +| Part | Scalar allowance | +| --- | ---: | +| Each scalar F0 direction | 10,112 | +| Each one-C alias direction | 9,426 | +| Stage-2 N2 read | 4,160 | +| Final minus E | 768 | +| Complete zero-work cleanup | 25,152 | +| Complete one-C cleanup | 23,780 | + +Each complete cleanup has 224 cover maps and no native child. The +zero-work word has 2,596 ADDs and 96 scales. The one-C word has 2,432 +ADDs and 18 owned clears. Its scratch is reused. Neither count includes +the three donor views. In the stated fixed-monomial special case, +gather and return of eight donors at three cuts gives 48 further maps. +General views require their own exact native and access costs. + +The accepted scope is this conditional local cleanup. Donor allocation, +new phase adapters, stream movement, recursive hosting, earlier input +precision, the other output-bank maps, and the complete supplier remain +open. The separate prefix review does not change those limits. + +Run the independent checks from the workspace root: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/check_review.py +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/check_source_binding.py +``` + +Expected statuses are `PASS_INDEPENDENT_CONDITIONAL_DELAYED_CLEANUP` +and `PASS_STATIC_SOURCE_AND_PREFIX_BINDING`. No producer or prior +review file was changed. This is a separate AI review, not human review. +No PR, push, or commit was made. Before any eventual PR description, +read `/Users/aliromman/Projects/IntegerMultiplicationBounds/PR-DESCRIPTION-STANDARD.md`. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/SOURCE-BINDING.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/SOURCE-BINDING.json new file mode 100644 index 0000000000..9809058af3 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/SOURCE-BINDING.json @@ -0,0 +1,26 @@ +{ + "f0_forward_slice": [ + 16, + 986 + ], + "producer_or_review_module_imported": false, + "source_inverse_bytes_equal": true, + "source_inverse_events": 970, + "source_inverse_slice": [ + 1459, + 2429 + ], + "source_pins": { + "portable-source-codes/common-f-independent-review-20261015/INDEPENDENT.json": "b6e2a2b767f03f652f1d3f9ff8ae752e2d5e7de07c434d12e1dcc27b0182c3ad", + "portable-source-codes/common-f-independent-review-20261015/REVIEW.json": "a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef", + "portable-source-codes/common-f-independent-review-20261015/REVIEW.md": "e1359ace6566dfe02d01747b650754942673703a5a9130b21c7f5123b6dd4a77", + "portable-source-codes/common-f-independent-review-20261015/review_followthrough.py": "c0dba20c069fa72c4d50df808649110b9b18c660c6e43efdea041fc5bca8d647", + "portable-source-codes/dirty-record-hosting-20261015/eight-records/EIGHT-RECORD-WORDS.json": "8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4", + "residual-syndrome/physical-algebra/eight-record-review-20261015/CLEANUP-PRECISION-MANIFEST.json": "33c85919f7e4416a7206f4c1fca99096e95eefb9b74958aa0a9e9c7dedf9123d", + "residual-syndrome/physical-algebra/eight-record-review-20261015/CLEANUP-PRECISION.md": "1c3afc8ff948b1ba3bf4a3fc9faa62294671c1267691c2ffa3fbcc546d6dcdca", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-PREFIX.json": "25cc04fef0ccf467802a709f259489d0b691ab570a4b594d3437983a8149005f", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-WORD.json": "bf3df2f047e4edb26ce2b73d3919db862f1cd630ee90fda5f3144469bdde7883", + "residual-syndrome/physical-algebra/eight-record-review-20261015/check_cleanup_prefix.py": "64e1ebd78c9742d994161e529f8aa02ded8dd2405d8244a4f60d8a3f029f7ad4" + }, + "status": "PASS_STATIC_SOURCE_AND_PREFIX_BINDING" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/check_review.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/check_review.py new file mode 100644 index 0000000000..6d7b3f1469 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/check_review.py @@ -0,0 +1,327 @@ +"""Check the two frozen cleanup words without producer imports.""" + +from collections import Counter +from fractions import Fraction as F +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +HERE = Path(__file__).resolve().parent +PHYS = HERE.parents[1] +LANES = PHYS.parents[1] +SOURCE = PHYS / 'eight-record-review-20261015' +CERT = LANES / 'paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz' +PINS = {} + + +def require(value, message): + if not value: + raise ValueError(message) + + +def read(path, digest): + raw = path.read_bytes() + require(sha256(raw).hexdigest() == digest, 'Source pin: ' + str(path)) + PINS[str(path.relative_to(LANES))] = digest + return raw + + +def axpy(left, right, coefficient=F(1)): + answer = dict(left) + for key, value in right.items(): + answer[key] = answer.get(key, 0) + coefficient * value + if not answer[key]: + del answer[key] + return answer + + +def combination(pairs): + answer = {} + for coefficient, row in pairs: + if coefficient: + answer = axpy(answer, row, coefficient) + return answer + + +def unit(name): + return {(name, ()): F(1)} + + +def move(row, letter): + # A literal full cover map acts on the left of each existing word. + answer = {} + for (name, word), value in row.items(): + reduced = word[1:] if word and word[0] == letter else (letter,) + word + answer[name, reduced] = value + return answer + + +def apply_matrix(columns, value): + answer = 0 + for j, column in enumerate(columns): + if value >> j & 1: + answer ^= column + return answer + + +def frame_signature(width, columns=None, shift=0): + # Values on zero, coordinate vectors, and coordinate pairs determine + # this mod-four quadratic phase. This checks the constant phase too. + rows = [1 << i for i in range(73)] if columns is None else [ + sum(((column >> i) & 1) << j for j, column in enumerate(columns)) + for i in range(73)] + mask = (1 << width) - 1 + value = lambda x, parity: ((x & mask).bit_count() + 2 * parity) % 4 + answer = [0] + answer += [value(rows[i], shift >> i & 1) for i in range(73)] + answer += [value(rows[i] ^ rows[j], ((shift >> i) ^ (shift >> j)) & 1) + for i in range(73) for j in range(i + 1, 73)] + return tuple(answer) + + +def inverse_scalar(events): + output = [] + for event in reversed(events): + new = dict(event) + c = F(new['c']) + require(new['op'] in ('add', 'scale'), 'Scalar inverse alphabet') + new['c'] = str(-c if new['op'] == 'add' else 1 / c) + output.append(new) + return output + + +def invoice(events): + histogram = Counter(event['op'] for event in events) + scalar = 0 + for event in events: + if event['op'] == 'clear': + scalar += 2 + elif event['op'] in ('add', 'scale'): + c = F(event['c']) + n, d = abs(c.numerator), c.denominator + require(n and d & (d - 1) == 0, 'Nonzero dyadic coefficient') + if event['op'] == 'add': + scalar += 2 * (2 + n.bit_length() + n.bit_count() + d.bit_length() - 1) + else: + require(n & (n - 1) == 0, 'Scale is a signed power of two') + scalar += 2 * (abs(n.bit_length() - d.bit_length()) + (c < 0)) + require(not (set(histogram) - {'add', 'scale', 'map', 'clear', 'private_begin', 'private_end'}), + 'No native operation in the cleanup') + return {'event_counts': dict(sorted(histogram.items())), 'scalar_allowance': scalar, + 'cover_maps': histogram['map'], 'native_children': 0} + + +def main(): + require(shutil.disk_usage(HERE).free >= 3 * 1024 ** 3, 'At least three GiB free') + manifest = json.loads(read(SOURCE / 'DELAYED-CLEANUP-MANIFEST.json', + 'b23074aa39523c88da7fe5c27e26e63b2ffc36567762105e55ffad15999da405')) + for name, digest in manifest['files'].items(): + read(SOURCE / name, digest) + certificate = json.loads(gzip.decompress(read(CERT, + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7'))) + a, t, u = (tuple(certificate[key]) for key in ('A_ports', 'T_ports', 'U_ports')) + require(a == (0, 7, 20, 27, 36, 46, 57, 111), 'Actual A ports') + require(t == (21, 37, 47, 76, 81, 87, 92, 110), 'Actual T ports') + require(set(a + t + u) == set(range(112)) and len(a + t + u) == 112, 'Port partition') + off = u + t + r = [[F(row.get(str(p), 0)) for p in range(112)] for row in certificate['R_rows']] + require(len(r) == 8, 'Eight centre rows') + for ports, scale in ((a, 4), (t, 4), (u, 48), (range(112), 56)): + require(all(sum(r[i][p] * r[j][p] for p in ports) == scale * (i == j) + for i in range(8) for j in range(8)), 'Exact centre Gram') + dot = lambda p, q: sum(r[k][p] * r[k][q] for k in range(8)) / 4 + + routes = {} + axes = tuple(1 << i for i in range(73)) + for stage in (1, 2): + for p in range(112): + maps = [event for event in certificate['programs']['F_' + str(stage)] + if event[:2] == ['cover_map', ['L', p]]] + require(len(maps) >= 2, 'The first complete view pair is present') + first, last = [certificate['map_registry'][event[2]] for event in maps[:2]] + require(first == last, 'The original inverse is the same full map') + g = tuple(first['owner_right_matrix_columns']) + delta = first['payload_translation_at_identity_owner'] + require(tuple(apply_matrix(g, column) for column in g) == axes, 'Owner involution') + require(apply_matrix(g, delta) == delta, 'Payload involution') + require(all((g[i] & g[j]).bit_count() % 2 == (i == j) + for i in range(73) for j in range(73)), 'Orthogonal owner map') + require(frame_signature(25, g, delta) == frame_signature(25), + 'Exact complete F25 phase, including payload') + routes[stage, p] = g, delta + + x = {p: unit('X' + str(p)) for p in range(112)} + y = {p: unit('Y' + str(p)) for p in range(112)} + h = {p: unit('R' + str(p)) for p in a} + zero_error = {p: {} for p in range(112)} + ex = dict(zero_error) + ex.update({p: combination([(-1, h[p])]) for p in a}) + ex.update({p: combination((dot(p, q), h[q]) for q in a) for p in t}) + require(all(not combination((r[k][p], ex[p]) for p in range(112)) for k in range(8)), + 'R0 E_X is zero on all donor columns') + + def aliases(xx, yy): + return {p: combination([(1, yy[p]), (1, xx[p])] + + [(-dot(p, q), xx[q]) for q in range(112)]) for p in off} + + def n_read(values, stage=2): + return {p: move(combination((dot(p, q), move(values[q], (stage, q))) + for q in off), (stage, p)) for p in a} + + v = aliases(x, y) + ey = {p: combination([(-1, ex[p])]) for p in range(112)} + require(all(not row for row in aliases(ex, ey).values()), 'V E is zero') + gz = n_read(v) + initial = {'X' + str(p): axpy(x[p], ex[p]) for p in range(112)} + initial.update({'Y' + str(p): axpy(y[p], ex[p], -1) for p in range(112)}) + initial.update({'R' + str(p): axpy(h[p], gz[p]) for p in a}) + initial['C'] = unit('C') + initial.update({'H' + str(j): unit('H' + str(j)) for j in range(480)}) + identity = {name: unit(name) for name in initial} + + def run(events, rows, wrong_query=False, prefix=None): + state = {name: dict(row) for name, row in rows.items()} + frames = {name: (0 if name == 'C' or name.startswith('H') else 25) for name in state} + private = False + for index, event in enumerate(events): + op = event['op'] + if op == 'add': + dst, src = event['dst'], event['src'] + require(dst != src, 'Independent ADD source') + require(frames[dst] == frames[src] or not state[src], 'Equal physical ADD frames') + state[dst] = axpy(state[dst], state[src], F(event['c'])) + elif op == 'scale': + state[event['field']] = combination([(F(event['c']), state[event['field']])]) + elif op == 'map': + require(not private, 'No map inside a private sweep') + field = event['field'] + stage, p = event['letter'] + require(stage == 2 and int(field[1:]) == p, 'Exact stage-2 field view') + g, delta = routes[stage, p] + require(tuple(event['g']) == g and event['shift'] == delta, 'Actual full map bytes') + require(frames[field] == 25, 'Common frame at the cleanup map') + state[field] = move(state[field], (1 if wrong_query else 2, p)) + elif op == 'clear': + require(private and event['field'] == 'C', 'Clear only private owned C') + require(event['frame'] in ('common_F_U2', 'identity'), 'Declared zero view') + state['C'] = {} + frames['C'] = 25 if event['frame'] == 'common_F_U2' else 0 + elif op == 'private_begin': + require(not private, 'One private sweep') + private = True + elif op == 'private_end': + require(private and not state['C'] and frames['C'] == 0, 'Scratch returns zero/identity') + private = False + else: + raise ValueError('Unknown event: ' + op) + if prefix is not None and op in ('add', 'scale', 'map', 'clear'): + field = event.get('dst', event.get('field')) + weight = sum(map(abs, state[field].values()), F(0)) + debt = max((c.denominator.bit_length() - 1 for c in state[field].values()), default=0) + if weight > prefix['maximum_l1']: + prefix.update(maximum_l1=weight, l1_event=index, l1_field=field) + if debt > prefix['maximum_debt']: + prefix.update(maximum_debt=debt, debt_event=index, debt_field=field) + require(not private, 'Private sweep closes') + return state + + packets = {name: json.loads((SOURCE / name).read_text()) for name in + ('DELAYED-CLEANUP-WORD.json', 'DELAYED-CLEANUP-ONE-C-WORD.json')} + old, one = packets.values() + require(old['current_stage2_query'] == one['current_stage2_query'], 'Same exact stage-2 query') + require(old['data_error_correction'] == one['selected_error_correction'], 'Same baseline correction') + query = old['current_stage2_query'] + expected_fields = ['Y' + str(p) for p in off] + ['R' + str(p) for p in a] + require([e['field'] for e in query[:112]] == expected_fields and + all(e['op'] == 'map' for e in query[:112]), 'Complete query gather before all reads') + require(all(e['op'] == 'add' for e in query[112:-112]), 'Only query ADDs between map sweeps') + require([e['field'] for e in query[-112:]] == expected_fields[104:] + expected_fields[:104] and + all(e['op'] == 'map' for e in query[-112:]), 'Complete return after all reads') + expected_adds = [dict(op='add', dst='R' + str(p), src='Y' + str(q), c=str(-dot(p, q))) + for p in a for q in off if dot(p, q)] + require(query[112:-112] == expected_adds, 'Actual routed N2 coefficients') + + require(old['inverse_scalar_F0_content'] == inverse_scalar(old['scalar_F0_content']), + 'Literal scalar inverse, including all scales') + full_expected = old['scalar_F0_content'] + query + old['inverse_scalar_F0_content'] + old['data_error_correction'] + require(old['cleanup'] == full_expected, 'Zero-work literal chronology') + require(one['cleanup'] == one['alias_shear'] + query + one['inverse_alias_shear'] + one['selected_error_correction'], + 'One-C literal chronology') + + bare = {**{'X' + str(p): x[p] for p in range(112)}, + **{'Y' + str(p): y[p] for p in range(112)}, 'C': unit('C')} + f0 = run(old['scalar_F0_content'], bare) + expected_x = {p: combination([(1, x[p])] + [(-dot(p, q), x[q]) for q in range(112)]) for p in u} + expected_x.update({p: combination((dot(p, q), x[q]) for q in t) for p in a}) + expected_x.update({p: combination((dot(p, q), x[q]) for q in range(112)) for p in t}) + for p in range(112): + expected_y = axpy(y[p], expected_x[p]) if p in u else combination([(1, x[p]), (1, y[p]), (-1, expected_x[p])]) + require(f0['X' + str(p)] == expected_x[p] and f0['Y' + str(p)] == expected_y, + 'F0 content on every arbitrary data input') + require(run(old['inverse_scalar_F0_content'], f0) == bare, 'Both scalar code directions') + alias = run(one['alias_shear'], bare) + require(all(alias['Y' + str(p)] == v[p] for p in off), 'One-C alias on every data input') + restored = run(one['inverse_alias_shear'], alias) + require(all(restored[key] == row for key, row in bare.items() if key != 'C') and not restored['C'], + 'Inverse alias restores data and clears only owned scratch') + + outputs, controls = {}, {} + for name, packet in packets.items(): + result = run(packet['cleanup'], initial) + want = dict(identity) + if 'ONE-C' in name: + want['C'] = {} + require(result == want, 'Every independent data, donor, helper, and scratch column: ' + name) + bill = invoice(packet['cleanup']) + require(bill['scalar_allowance'] == (23780 if 'ONE-C' in name else 25152), 'Complete scalar invoice') + require(bill['cover_maps'] == 224, 'Complete cover map count') + outputs[name] = bill + correction = packet.get('selected_error_correction', packet.get('data_error_correction')) + no_correction = run(packet['cleanup'][:-len(correction)], initial) + require(all(no_correction['R' + str(p)] == h[p] for p in a), 'Donors can be clean before data correction') + require(any(no_correction['X' + str(p)] != x[p] for p in range(112)), 'Omitted data correction fails') + require(run(packet['cleanup'], initial, True) != want, 'A stage-1 query cannot replace N2') + controls[name] = ['omitted_E_correction', 'stage1_query_in_place_of_stage2'] + + require(any(frame_signature(17, *routes[2, p]) != frame_signature(25) for p in a), + 'A missing second donor advance fails exact frame matching') + different_owner_word = any( + tuple(apply_matrix(routes[2, p][0], v) for v in routes[2, q][0]) != + tuple(apply_matrix(routes[1, p][0], v) for v in routes[1, q][0]) + for p in a for q in off if dot(p, q)) + require(different_owner_word, 'The two query stages differ on an actual owner coefficient') + g, delta = routes[2, 0] + require(frame_signature(25, g, delta ^ 1) != frame_signature(25), 'Wrong payload phase fails') + costs = {name: invoice(events)['scalar_allowance'] for name, events in + [('F0', old['scalar_F0_content']), ('F0_inverse', old['inverse_scalar_F0_content']), + ('alias', one['alias_shear']), ('alias_inverse', one['inverse_alias_shear']), + ('N2', query), ('minus_E', old['data_error_correction'])]} + require(costs == dict(F0=10112, F0_inverse=10112, alias=9426, alias_inverse=9426, N2=4160, minus_E=768), + 'All separate scalar bills') + prefix = dict(maximum_l1=F(1), maximum_debt=0) + independent_cut = {name: unit(name) for name in initial if not name.startswith('H')} + run(one['cleanup'], independent_cut, prefix=prefix) + prefix['maximum_l1'] = str(prefix['maximum_l1']) + prefix.update(input_columns=233, event_indices='zero-based', + scope='Complete scalar events and full cover maps; no primitive interiors or prior input bounds') + (HERE / 'PREFIX-CHECK.json').write_text(json.dumps(prefix, indent=2, sort_keys=True) + '\n') + for relative, digest in PINS.items(): + require(sha256((LANES / relative).read_bytes()).hexdigest() == digest, 'Source preserved') + result = {'status': 'PASS_INDEPENDENT_CONDITIONAL_DELAYED_CLEANUP', 'source_pins': PINS, + 'input_columns_per_word': {'data': 224, 'donors': 8, 'helpers': 480, 'owned_scratch': 1}, + 'formal_method': 'Exact rational rows in free involutive full-cover map words', + 'actual_completed_stage_views': 224, 'phase_signature_points_per_view': 2702, + 'whole_words': outputs, 'scalar_parts': costs, 'negative_controls': controls, + 'additional_controls': ['missing_second_donor_advance', 'changed_payload_translation'], + 'producer_imported_or_executed': False, 'inherited_predecessor_replayed': False, + 'source_files_preserved': True} + (HERE / 'CHECK.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + print(json.dumps({'whole_words': outputs, 'scalar_parts': costs}, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/check_source_binding.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/check_source_binding.py new file mode 100644 index 0000000000..2aaad61257 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/check_source_binding.py @@ -0,0 +1,62 @@ +"""Bind the retained source slice and the separate prefix receipt.""" + +from fractions import Fraction as F +from hashlib import sha256 +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[3] +SOURCE = LANES / 'residual-syndrome/physical-algebra/eight-record-review-20261015' +PINS = {} + + +def read(path, digest, as_json=True): + raw = path.read_bytes() + if sha256(raw).hexdigest() != digest: + raise ValueError('Source pin: ' + str(path)) + PINS[str(path.relative_to(LANES))] = digest + return json.loads(raw) if as_json else raw + + +def main(): + word = read(LANES / 'portable-source-codes/dirty-record-hosting-20261015/eight-records/EIGHT-RECORD-WORDS.json', + '8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4') + f0 = read(SOURCE / 'DELAYED-CLEANUP-WORD.json', + 'bf3df2f047e4edb26ce2b73d3919db862f1cd630ee90fda5f3144469bdde7883')['scalar_F0_content'] + original = word['owned_eight_A']['repair'][1459:2429] + inverted = [] + for event in original[::-1]: + new = dict(event) + c = F(new['c']) + new['c'] = str(-c if new['op'] == 'add' else 1 / c) + inverted.append(new) + if f0[16:986] != inverted: + raise ValueError('The retained 970-event inverse slice') + + consumer = LANES / 'portable-source-codes/common-f-independent-review-20261015' + review = read(consumer / 'REVIEW.json', + 'a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef') + for name, digest in review['files'].items(): + read(consumer / name, digest, False) + manifest = read(SOURCE / 'CLEANUP-PRECISION-MANIFEST.json', + '33c85919f7e4416a7206f4c1fca99096e95eefb9b74958aa0a9e9c7dedf9123d') + for name, digest in manifest.items(): + read(SOURCE / name, digest, False) + own = json.loads((HERE / 'PREFIX-CHECK.json').read_text()) + produced = json.loads((SOURCE / 'DELAYED-CLEANUP-PREFIX.json').read_text()) + if not (own['maximum_l1'] == produced['maximum_free_route_row_l1'] == '1407' + and own['maximum_debt'] == produced['fractional_reserve'] == 3 + and own['l1_event'] == 2620 and own['debt_event'] == 2614): + raise ValueError('Independent prefix values') + result = {'status': 'PASS_STATIC_SOURCE_AND_PREFIX_BINDING', + 'source_inverse_events': 970, 'source_inverse_slice': [1459, 2429], + 'f0_forward_slice': [16, 986], 'source_inverse_bytes_equal': True, + 'source_pins': PINS, 'producer_or_review_module_imported': False} + (HERE / 'SOURCE-BINDING.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(result['status']) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.json b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.json new file mode 100644 index 0000000000..8630ad7e77 --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.json @@ -0,0 +1,3894 @@ +{ + "accepted_premises": { + "interface-proof/ORIGINAL-COMPLEX-MODES-REVIEW.json": "8b8c4d814b44c2fc42cf9ad995f8451512309fcfc46bea9317ebe4b4d79e8a4d", + "portable-source-codes/common-f-independent-review-20261015/REVIEW.json": "a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef", + "portable-source-codes/common-f-review-20261015/CONSUMER-MANIFEST.json": "ca8f0cad4f445a8a13215a91b49f9cbfa9eb872e2bfed6b52feccdb948174419", + "portable-source-codes/dirty-record-hosting-20261015/eight-records/EIGHT-RECORD-WORDS.json": "8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-MANIFEST.json": "b23074aa39523c88da7fe5c27e26e63b2ffc36567762105e55ffad15999da405", + "residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json": "bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880", + "residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.json": "17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4", + "residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json": "74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993" + }, + "allocations": { + "all": { + "cut_records": [ + { + "adapter_mass": 2, + "cuts": [ + 0, + 4, + 19 + ], + "family": 9313, + 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Local repair and full-W cleanup are pinned premises. New recursive child hosting, stream/precision invoice, other data outputs and supplier gain remain open.", + "source_reconstruction": { + "complete_pending_partitions": 35840, + "new_cleanup_cuts": [ + 19, + 22, + 33, + 36, + 53, + 56, + 79, + 82, + 111, + 114, + 149, + 152, + 187, + 190, + 219, + 222 + ], + "old_events": 482, + "old_helper_jobs": 69120, + "old_idle_suffixes": 7526 + }, + "status": "PASS_INDEPENDENT_TWO_CUT_DONOR_REVIEW" +} diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.md b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.md new file mode 100644 index 0000000000..47e819b18c --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.md @@ -0,0 +1,171 @@ +# Independent review of the two-cut donor allocation + +The frozen allocation passes this independent source review. The 128 old +productive donor fields are distinct. Each has one cover map that gives +the required native advance at both cuts. All three adapters have the +stated exact phases, including the adapter that returns the arbitrary +donor baseline to its old scheduled output. + +The added donor profile is 200 rank-one children and seven rank-two +children, with rank mass 214. There are 414 native wrappers, 107 nonzero +translations within those wrappers, no separate translation map, and +768 record cover maps. At most 48 records are live at one time. No new +productive or clean record family is used. + +This review accepts the fixed allocation and its conditional native +transport. The local dirty repair, whole-W data parking, and delayed +cleanup are separate accepted premises. The review does not prove the +new recursive child hosting, physical stream invoice, precision, other +data outputs, or a complete supplier. There is no kappa claim. + +## Independent source reconstruction + +The checker reads the selected archive directly. It does not import or +execute the donor producer, its loader, or the prior consumer checker. +It reconstructs all 482 events, 144 local owner sets, 69,120 helper jobs, +7,526 idle suffixes, and 35,840 complete pending-child partitions. +Every helper width, axis slice, route, owner, strict release, and deadline +agrees with the archive and the canonical local frame word. + +It also reconstructs all active-data, bridge, and terminal barriers. +The added full-W cleanup writes both pair-1 data banks at the sixteen +source-event-5 idle cuts. These new writes are excluded as well. The +checker reproduces the full bounded candidate histogram for each of the +sixteen replica intervals. It checks the fixed allocation; it does not +run a matching search or claim a globally minimum allocation cost. + +For each replica the three boundaries are after its complete F0 sweep, +after its complete B1 sweep, and after its pair-1 idle that follows F2. +For replica 0 these are execution positions 0, 4, and 19. Every selected +donor has no active-data or scalar barrier between its capture and its +return. The primary allocation uses 262 complete old helper jobs of +total rank 2091. It uses no partial helper cut. The helper width counts +are 12 of width 4, 59 of width 7, 89 of width 8, and 102 of width 9. + +All 128 family IDs are distinct, which is stronger than interval-only +reuse. Cover reindexing is a bijection within each family, so it creates +no alias between simultaneous records. The checker finds the maximum +48-record overlap after event 11. Complete cover capture, repair, and +erase sweeps must finish before the next old event uses those fields. + +## One exact isometry at both cuts + +Let K1 and K2 be the two old donor interval operators. Each is a product +of intrinsic C lines and a recorded translation. The checker rebuilds +these products from the actual jobs. Their line sets are orthonormal and +disjoint. The two desired sets D1 and D2 each have eight axes. One +orthogonal U maps E1 to D1 and E2 to D2. Both inverse orders of U are +checked on all 73 coordinate vectors. + +The source-to-donor convention is + + (M z)(g) = z(g U). + +Thus a source at g is added to the donor at g U inverse. For Vj equal +to the C product on Dj, covariance gives + + V1 M = M F_E1, V2 M = M F_E2. + +These are exact physical identities. At donor cover label g, both sides +use the same lines g U e_i. No equality of different cover values or +unproved common payload frame is used. The same M is used at capture, +repair, and erase. A match of only the total sixteen-axis advance would +not prove the first consumption cut. + +The three adapters are + + A1 = V1 K1 inverse, + A2 = V2 K2 inverse, + A3 = K2 K1 (V2 V1) inverse. + +The checker uses explicit linear coefficients and quadratic adjacency +rows for the full 73-variable Fourier phase. This representation is +separate from the producer's packed bit planes. It proves A1 K1=V1, +A2 K2=V2, and A3 V2 V1=K2 K1. Each negative line includes the required +translation from C_v inverse = X_v C_v. Each nonempty adapter has one +rank-r child and two exact inverse orthogonal wrappers. The translation +is part of its left affine wrapper. All map orders and native axes agree +with the serialized recipes. + +The tensor identity holds at every positive multiplicity: the checked +one-layer operator is applied in each tensor layer. This statement does +not prove the recursive implementation or its work stock. + +## Arbitrary baselines and complete old helper jobs + +Let a be the donor's arbitrary physical value at capture. Define +h = F_L inverse M inverse a. This is a coordinate definition, not a zero +input condition. After capture, the first old path, and A1, the donor is +M F_U1(h+u_A). The accepted dirty repair acts on this common-frame value. +It leaves data z+E h and donor M F_U1(h+G z). + +The accepted full-W consumer parks the entire data pair through F2. +The second old path and A2 give donor M F_U2(h+G z). The accepted cleanup +returns the data to F_U2 z and the donor to M F_U2 h. A3 then returns the +donor to K2 K1 a, exactly the old scheduled output. The donor is never +cleared. Both arbitrary data and arbitrary donor input are retained. + +Old complete helper jobs remain valid when a donor carries these values. +Their physical output is the fixed native job applied to their arbitrary +input. Their completed active outputs have zero dependence on that input. +This is the pinned old local contract; it is not inferred from a matching +frame name. The added capture, repair, and cleanup words reference only +data, record, and private-C roles. They contain no old helper-role read +outside a complete core. Thus a donor can be an old helper during a core +without an additional boundary alias. + +The checker reads the literal eight-record boundary word. Its eight +leading record E1 children are exactly the children replaced by these +old paths and adapters. Its remaining 112 positive Y lines are retained. +It also reads the accepted one-C cleanup word: it has no new native child +and no borrowed CLEAR. The local algebra and the all-column cleanup +replay are pinned, not rerun by this owner review. + +## Counts, child hosting, and limits + +The per-replica adapter masses are + + 16,16,16,10,16,6,14,16,28,8,16,6,16,0,14,16. + +The sum is 214. The separately reported pair-2/3-only allocation also +passes; its mass is 376. Neither result proves a minimum outside the +stated assignment class. + +With 112 retained Y lines and 112 endpoint X lines per replica, the +conditional complete added profile is {1:3784, 2:7}, of mass 3798. +This count does not remove the raw QQ16 core costs or any old helper, +idle, or tail job. It gives no productive-width credit for the donors. + +The 207 new donor children have explicit rank-one or rank-two axes and +correct native wrappers. This is not a full recursive hosting proof. +Before this component can enter a supplier invoice, a caller must bind +their compact and spectator ranges, row divisibility, recursive private +stock, and child workspaces to the retained compiler. It must also bind +the remaining repair children and the final decoder lines. The scalar +boundary words use private C only after old cores or idle sweeps return; +no persistent donor is a private C field. This separation does not by +itself price recursive scratch or the new physical map streams. + +The exact rank and native transport result therefore survives. The +complete precision and supplier claims remain open. In particular, the +selected-16-only parking consumer cannot replace the full-W premise. + +## Reproduction + +Run with standard-library Python 3 and one CPU: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/review_donors.py --out /private/tmp/two-cut-independent.json +``` + +Expected status: `PASS_INDEPENDENT_TWO_CUT_DONOR_REVIEW`. +The controls reject omission of each adapter, reversed cover-map +orientation, and an exchange of the two required advances. The receipt +contains exact nonzero character witnesses for the first four controls. +Two isolated runs produce identical receipt bytes. All frozen producer +files remain unchanged. + +This review uses Portable's fixed allocation, the selected source owner +ledger, the prior common-F consumer, and Residual's independently checked +dirty repair and delayed cleanup. OpenAI Codex supplied this independent +checker and proof review. diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/review_donors.py b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/review_donors.py new file mode 100644 index 0000000000..1a1ec4b9ca --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/frozen/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/review_donors.py @@ -0,0 +1,405 @@ +"""Review the fixed two-cut donor certificate from source data only.""" + +import argparse +from bisect import bisect_left +from collections import Counter, defaultdict +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import tarfile + + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[4] +LANES = HERE.parents[1] +PRODUCER = LANES / 'portable-source-codes/dirty-record-hosting-20261015' +ARCHIVE = ROOT / 'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' +MANIFEST_PIN = 'bae5f1cb0f3738b7246be3e26f88c8c872a0e17cf4054b527dc74d25cf2837b0' +MEMBERS = { + 'template': ('candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz', '2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760'), + 'phases': ('candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json', 'c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa'), + 'word': ('candidate/strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz', '16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219'), +} +PREMISES = { + 'interface-proof/ORIGINAL-COMPLEX-MODES-REVIEW.json': '8b8c4d814b44c2fc42cf9ad995f8451512309fcfc46bea9317ebe4b4d79e8a4d', + 'portable-source-codes/common-f-independent-review-20261015/REVIEW.json': 'a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef', + 'portable-source-codes/common-f-review-20261015/CONSUMER-MANIFEST.json': 'ca8f0cad4f445a8a13215a91b49f9cbfa9eb872e2bfed6b52feccdb948174419', + 'residual-syndrome/physical-algebra/eight-record-review-20261015/REVIEW.json': '17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4', + 'residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-MANIFEST.json': 'b23074aa39523c88da7fe5c27e26e63b2ffc36567762105e55ffad15999da405', + 'residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json': '74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993', + 'portable-source-codes/dirty-record-hosting-20261015/eight-records/EIGHT-RECORD-WORDS.json': '8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4', + 'residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json': 'bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880', +} + + +def need(condition, message): + if not condition: + raise ValueError(message) + + +def checked(path, expected): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == expected, 'Pin: ' + str(path)) + return raw + + +def owner(replica, pair, side, port): + return 896 * replica + 224 * pair + 112 * side + port + + +def parity(value): + return value.bit_count() & 1 + + +def act(columns, vector): + result = 0 + while vector: + low = vector & -vector + result ^= columns[low.bit_length() - 1] + vector ^= low + return result + + +def inverse_check(columns, inverse): + need(len(columns) == len(inverse) == 73, '73-axis map shape') + for i in range(73): + need(act(columns, inverse[i]) == act(inverse, columns[i]) == 1 << i, + 'Both inverse map orders') + for j in range(73): + need(parity(columns[i] & columns[j]) == int(i == j), 'Orthogonal map') + + +def signature(terms): + """Use separate linear coefficients and quadratic adjacency rows.""" + linear = [0] * 73 + edges = [0] * 73 + for vector, coefficient in terms: + for i in range(73): + if vector >> i & 1: + linear[i] = (linear[i] + coefficient) % 4 + if coefficient % 2: + edges[i] ^= vector & ((1 << i) - 1) + return tuple(linear), tuple(edges) + + +def serialized_signature(value): + low, high, cross = value + return (tuple(((low >> i) & 1) + 2 * ((high >> i) & 1) for i in range(73)), + tuple((cross >> (i * (i - 1) // 2)) & ((1 << i) - 1) for i in range(73))) + + +def zero(terms): + linear, edges = signature(terms) + return not any(linear) and not any(edges) + + +def witness(terms): + linear, edges = signature(terms) + for i, value in enumerate(linear): + if value: + return 1 << i, value + for i, row in enumerate(edges): + if row: + bit = row & -row + return (1 << i) | bit, 2 + raise ValueError('Expected a nonzero phase witness') + + +def path_terms(path): + return [(v, 1) for row in path for v in row['axes']] + [(row['translation'], 2) for row in path] + + +def read_source(): + checked(ARCHIVE, 'f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6') + source = {} + with tarfile.open(ARCHIVE) as stream: + for name, (member, pin) in MEMBERS.items(): + raw = stream.extractfile(member).read() + need(sha256(raw).hexdigest() == pin, 'Archive member pin') + source[name] = json.loads(gzip.decompress(raw) if member.endswith('.gz') else raw) + return source + + +def reconstruct(source): + template, recipes, word = source['template'], source['phases']['recipes'], source['word'] + events, calls = template['execution_schedule'], template['calls'] + need(len(events) == 482 and len(calls) == 144, 'Selected schedule size') + call_at, deadline, pair_uses = {}, {}, defaultdict(list) + barriers = [set() for _ in range(14336)] + histories = [[] for _ in range(14336)] + new_cleanup = [] + for at, event in enumerate(events): + kind = event['kind'] + replica = event.get('replica') + if kind == 'local_cover_sweep': + call = calls[event['time']] + call_at[event['time']] = at + need((call['replica'], call['stage']) == (replica, event['stage']), 'Actual call identity') + need(len(call['owners']) == len({f for f, route in call['owners']}) == 704, 'Whole-call owner uniqueness') + need(all(0 <= f < 14336 for f, route in call['owners']), 'Private field used as an old helper') + pair_uses[replica, call['pair']].append(at) + for side in (0, 1): + for port in range(112): + f = owner(replica, call['pair'], side, port) + need(call['owners'][112*side+port] == [f, [1, call['stage'], port]], 'Active owner address') + barriers[f].add(at) + elif kind == 'bridge': + for pair in (event['src'], event['dst']): + pair_uses[replica, pair].append(at) + for side in (0, 1): + for port in range(112): + barriers[owner(replica, pair, side, port)].add(at) + elif kind == 'idle_cover_sweep': + for side, child in enumerate(event['child_indices']): + need((replica, child) not in deadline, 'Repeated idle deadline') + deadline[replica, child] = (at, event['pair'], side) + for port in range(112): + f = owner(replica, event['pair'], side, port) + histories[f].append({'event': at, 'kind': 'translation', 'index': child, + 'axes': [], 'translation': recipes[port]['idle_children'][child]['translation_after']}) + if event['source_event'] == 5: + need(event['pair'] == 1, 'Full-W cleanup location') + new_cleanup.append(at) + for side in (0, 1): + for port in range(112): + barriers[owner(replica, 1, side, port)].add(at) + elif kind in ('terminal', 'terminal_Y_translations'): + # This conservative barrier includes both sides for a Y translation. + for f in range(896*replica, 896*(replica+1)): + barriers[f].add(at) + else: + need(kind in ('bank_padding_cover_sweep', 'translate_every_live_family'), 'Unknown selected event') + if kind == 'bank_padding_cover_sweep': + need(event['families'] == [14336, 14336], 'Nonempty padding needs a donor history') + else: + need(at == 481, 'Final cover correction timing') + need(len(new_cleanup) == 16, 'Sixteen new full-W cleanup writes') + partition = defaultdict(dict) + helper_roles = set() + for index, job in enumerate(template['hosting']['pooled_slots']): + at, pair, side = deadline[job['owner_replica'], job['child']] + f = owner(job['owner_replica'], pair, side, job['port']) + need(f == job['family'], 'Helper family from its deadline') + role = 224 + job['helper'] + need((job['time'], role) not in helper_roles, 'Repeated local helper role') + helper_roles.add((job['time'], role)) + width = len(word['frames'][word['final'][role]]) - len(word['frames'][word['start'][role]]) + need(width == job['width'], 'Complete canonical helper width') + release_list = pair_uses[job['owner_replica'], pair] + previous = bisect_left(release_list, at) + release = release_list[previous-1] if previous else -1 + need(release < call_at[job['time']] < at, 'Strict old helper window') + child = recipes[job['port']]['idle_children'][job['child']] + axes = child['orthogonal_axes'][job['offset']:job['offset']+width] + need(len(axes) == width, 'Helper native axis slice') + start = 1 + 8*(events[at]['from_level']+1) + job['offset'] + spectator = [j for j in range(73) if j not in range(start, start+width)][:9-width] + route = [3, job['child'], job['offset']] if width == 9 else [4, job['child'], job['offset'], width, spectator] + need(calls[job['time']]['owners'][role] == [f, route], 'Literal helper owner route') + key = job['owner_replica'], job['child'], job['port'] + for offset in range(job['offset'], job['offset']+width): + need(offset not in partition[key], 'Repeated pending native axis') + partition[key][offset] = ('helper', index) + histories[f].append({'event': call_at[job['time']], 'kind': 'helper', 'index': index, + 'axes': axes, 'translation': 0}) + need(len(helper_roles) == 144*480, 'All local helper roles') + for index, job in enumerate(template['idle_children']): + at, pair, side = deadline[job['replica'], job['child']] + f = owner(job['replica'], pair, side, job['port']) + child = recipes[job['port']]['idle_children'][job['child']] + axes = child['orthogonal_axes'][job['pending_offset']:] + need(f == job['family'] and len(axes) == job['rank'], 'Idle suffix family and rank') + key = job['replica'], job['child'], job['port'] + for offset in range(job['pending_offset'], len(child['orthogonal_axes'])): + need(offset not in partition[key], 'Suffix overlaps a helper job') + partition[key][offset] = ('suffix', index) + histories[f].append({'event': at, 'kind': 'suffix', 'index': index, 'axes': axes, 'translation': 0}) + for (replica, child), (at, pair, side) in deadline.items(): + for port in range(112): + need(set(partition[replica, child, port]) == set(range(recipes[port]['idle_children'][child]['rank'])), + 'Incomplete old native partition') + for history in histories: + history.sort(key=lambda row: (row['event'], row['kind'] == 'translation', row['index'])) + return histories, barriers, {'old_helper_jobs': len(helper_roles), + 'old_idle_suffixes': len(template['idle_children']), 'complete_pending_partitions': len(partition), + 'old_events': len(events), 'new_cleanup_cuts': new_cleanup} + + +def audit_allocation(name, allocation, packet, source, histories, barriers): + events = source['template']['execution_schedule'] + records = allocation['selected'] + need(len(records) == 128 and [r['role'] for r in records] == list(range(128)), 'Eight records per replica') + need(len({r['family'] for r in records}) == 128, 'Global donor distinctness') + profile, inherited, per_replica = Counter(), Counter(), Counter() + wrappers = translations = separate = inherited_jobs = 0 + overlap = Counter() + cut_records, controls = [], [] + for row in records: + replica, selected = divmod(row['role'], 8) + family = row['family'] + need(0 <= family < 14336, 'Donor is an old productive field') + if name == 'pair23': + need(family//224 % 4 in (2, 3), 'Restricted alternative pair') + cuts = [next(at for at, event in enumerate(events) if event['kind'] == 'local_cover_sweep' + and event['replica'] == replica and event['stage'] == stage) for stage in (0, 1)] + cuts.append(next(at for at, event in enumerate(events) if event['kind'] == 'idle_cover_sweep' + and event['replica'] == replica and event['source_event'] == 5)) + entry = packet['rows'][replica] + need(cuts == [entry['capture_after_event'], entry['repair_after_event'], entry['cleanup_after_event']], 'Three actual cuts') + low, middle, high = cuts + need(low < middle < high < 481, 'Ordered cuts before the final cover correction') + need(not any(low < at <= high for at in barriers[family]), 'Donor scalar or active contamination') + path = [[job for job in histories[family] if a < job['event'] <= b] + for a, b in ((low, middle), (middle, high))] + need(path == row['paths'], 'Complete actual donor path') + flat = [v for part in path for job in part for v in job['axes']] + need(len(flat) == len(set(flat)), 'Repeated donor line') + need(all(parity(a & b) == int(i == j) for i, a in enumerate(flat) for j, b in enumerate(flat)), 'Orthogonal donor path') + ranks = [sum(len(job['axes']) for job in part) for part in path] + need(ranks == row['ranks'], 'Both interval ranks') + need(2*max(sum(max(r-8, 0) for r in ranks), sum(max(8-r, 0) for r in ranks)) == row['minimum_adapter_mass'], + 'Fixed-basis adapter bound') + wanted = row['desired_axes'] + need(list(map(len, wanted)) == [8, 8] and not set(wanted[0]) & set(wanted[1]), 'Disjoint desired advances') + inverse_check(row['U_columns'], row['U_inverse_columns']) + need([row['U_columns'][i] for i in range(9, 17)] == wanted[0] and + [row['U_columns'][i] for i in range(17, 25)] == wanted[1], 'Same cover map at both cuts') + terms = [path_terms(part) for part in path] + desired = [[(v, 1) for v in part] for part in wanted] + adapter_terms = [] + mass = 0 + for index, adapter in enumerate(row['adapters']): + axes, translation = adapter['axes'], adapter['translation'] + term = [(v, 1) for v in axes] + [(translation, 2)] + need(signature(term) == serialized_signature(adapter['phase']), 'Serialized adapter phase') + adapter_terms.append(term) + mass += len(axes) + if axes: + inverse_check(adapter['left_columns'], adapter['right_columns']) + need(adapter['left_columns'][:len(axes)] == axes, 'Native child wrapper axes') + profile[len(axes)] += 1 + wrappers += 2 + else: + need('left_columns' not in adapter and 'right_columns' not in adapter, 'Empty native wrapper') + translations += bool(translation) + separate += bool(translation and not axes) + need(mass == row['minimum_adapter_mass'], 'All three adapter ranks') + for side in (0, 1): + difference = terms[side] + adapter_terms[side] + [(v, -c) for v, c in desired[side]] + need(zero(difference), 'Exact phase at a required intermediate cut') + need(zero(desired[0] + desired[1] + adapter_terms[2] + + [(v, -c) for part in terms for v, c in part]), 'Exact arbitrary donor return') + # This is the combined old-input operator after local cleanup. + need(zero(terms[0] + adapter_terms[0] + terms[1] + adapter_terms[1] + adapter_terms[2] + + [(v, -c) for part in terms for v, c in part]), 'Complete baseline restoration') + for index in range(3): + if not zero(adapter_terms[index]) and not any(c['mutation'] == 'omit_adapter_'+str(index) for c in controls): + character, error = witness([(v, -c) for v, c in adapter_terms[index]]) + controls.append({'mutation': 'omit_adapter_'+str(index), 'role': row['role'], + 'character': character, 'phase_error_mod4': error}) + need(not zero(desired[0] + [(v, -c) for v, c in desired[1]]), 'Two-cut interchange control') + inverse_first = [(row['U_inverse_columns'][i], 1) for i in range(9, 17)] + if not zero(inverse_first + [(v, -c) for v, c in desired[0]]) and not any(c['mutation'] == 'reverse_cover_map' for c in controls): + character, error = witness(inverse_first + [(v, -c) for v, c in desired[0]]) + controls.append({'mutation': 'reverse_cover_map', 'role': row['role'], + 'character': character, 'phase_error_mod4': error}) + for part in path: + for job in part: + if job['axes']: + inherited[len(job['axes'])] += 1 + inherited_jobs += 1 + per_replica[replica] += mass + for cut in range(low, high): + overlap[cut] += 1 + cut_records.append({'role': row['role'], 'family': family, 'cuts': cuts, + 'ranks': ranks, 'adapter_mass': mass}) + summary = {'profile': dict(sorted(profile.items())), 'mass': sum(r*c for r, c in profile.items()), + 'native_wrappers': wrappers, 'translations': translations, + 'standalone_translation_maps': separate, 'record_cover_maps': 6*128, + 'inherited_profile': dict(sorted(inherited.items())), + 'inherited_mass': sum(r*c for r, c in inherited.items())} + need({control['mutation'] for control in controls} == + {'omit_adapter_0', 'omit_adapter_1', 'omit_adapter_2', 'reverse_cover_map'}, 'Four exact phase controls') + for key, value in summary.items(): + original = allocation[key] + if isinstance(value, dict): + original = {int(k): v for k, v in original.items()} + need(value == original, 'Allocation invoice: ' + key) + summary.update({'distinct_families': 128, 'peak_live_records': max(overlap.values()), + 'peak_after_event': min(k for k, v in overlap.items() if v == max(overlap.values())), + 'per_replica_mass': [per_replica[i] for i in range(16)], + 'inherited_whole_jobs': inherited_jobs, 'cut_records': cut_records, + 'negative_controls': controls + [{'mutation': 'interchange_cut_advances', 'detected': True}]}) + return summary + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + manifest = json.loads(checked(PRODUCER/'TWO-CUT-MANIFEST.json', MANIFEST_PIN)) + for name, pin in manifest['files'].items(): + checked(PRODUCER/name, pin) + for name, pin in PREMISES.items(): + checked(LANES/name, pin) + local = json.loads((PRODUCER/'eight-records/EIGHT-RECORD-WORDS.json').read_text())['dirty_eight_A_before_cleanup'] + selected_ports = [0, 7, 20, 27, 36, 46, 57, 111] + need(local['capture'] == [{'c': '1', 'dst': 'R'+str(p), 'op': 'add', 'src': 'X'+str(p)} for p in selected_ports], + 'Literal dirty capture without CLEAR') + stages = [{'field': 'R'+str(p), 'op': 'stage', 'rank': 8, 'sign': 1, 'stage': 1} for p in selected_ports] + need(local['repair'][:8] == stages and not any(e['op'] == 'stage' for e in local['repair'][8:]), + 'Exactly eight replaced record advances') + cleanup = json.loads((LANES/'residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json').read_text())['cleanup'] + for event in local['repair'][8:] + cleanup: + for key in ('src', 'dst', 'field'): + if key in event: + field = event[key] + need(field == 'C' or (field[0] in 'XYR' and field[1:].isdigit()), 'Boundary word accesses an old helper role') + if event['op'] == 'clear': + need(event['field'] == 'C', 'Borrowed donor CLEAR') + need(sum(e['op'] == 'line' for e in local['repair']) == 112, 'Remaining positive Y lines') + need(not any(e['op'] in ('line', 'stage', 'native') for e in cleanup), 'Cleanup native charge') + packet = json.loads((PRODUCER/'TWO-CUT-DONORS.json').read_text()) + need(packet['status'] == 'PASS_TWO_CUT_DONOR_CENSUS', 'Producer status') + source = read_source() + histories, barriers, counts = reconstruct(source) + census = [] + for entry in packet['rows']: + low, middle, high = [entry[k] for k in ('capture_after_event', 'repair_after_event', 'cleanup_after_event')] + histogram = Counter() + for f in range(14336): + if any(low < at <= high for at in barriers[f]): + continue + ranks = tuple(sum(len(job['axes']) for job in histories[f] if a < job['event'] <= b) + for a, b in ((low, middle), (middle, high))) + histogram[ranks] += 1 + expected = {tuple(map(int, key.split(','))): count for key, count in entry['rank_histogram'].items()} + need(histogram == expected and sum(histogram.values()) == entry['candidate_count'], 'Complete bounded donor census') + census.append({'replica': entry['replica'], 'candidate_count': sum(histogram.values()), + 'exact_eight_plus_eight_count': histogram[8, 8]}) + results = {name: audit_allocation(name, allocation, packet, source, histories, barriers) + for name, allocation in packet['allocations'].items()} + need(results['all']['profile'] == {1: 200, 2: 7} and results['all']['mass'] == 214, 'Primary native profile') + need(results['all']['native_wrappers'] == 414 and results['all']['translations'] == 107 and + results['all']['standalone_translation_maps'] == 0, 'Primary map counts') + result = {'status': 'PASS_INDEPENDENT_TWO_CUT_DONOR_REVIEW', + 'checker_sha256': sha256(Path(__file__).read_bytes()).hexdigest(), + 'producer_manifest_sha256': MANIFEST_PIN, 'producer_files': manifest['files'], + 'archive_members': MEMBERS, 'accepted_premises': PREMISES, + 'source_reconstruction': counts, 'bounded_census': census, 'allocations': results, + 'boundary_word_checks': {'source_ports': selected_ports, 'record_native_advances_replaced_per_replica': 8, + 'retained_positive_Y_lines_per_replica': 112, 'boundary_old_helper_role_references': 0, + 'borrowed_donor_CLEARs': 0, 'cleanup_new_native_children': 0}, + 'primary_conditional_complete_added_native_profile': {'1': 200+16*224, '2': 7}, + 'primary_conditional_complete_added_native_mass': 214+16*224, + 'producer_imported_or_executed': False, + 'scope': 'Fixed old-owner allocation and exact two-cut native transport. Local repair and full-W cleanup are pinned premises. New recursive child hosting, stream/precision invoice, other data outputs and supplier gain remain open.'} + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + print(result['status']) + print(json.dumps({'source': counts, 'primary': {k: results['all'][k] for k in + ('profile', 'mass', 'native_wrappers', 'translations', 'record_cover_maps', 'peak_live_records', 'inherited_whole_jobs')}})) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/frozen/worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz b/research/borrowed-centre-storage/annexes/full-w-component/frozen/worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz new file mode 100644 index 0000000000..c24daf067f Binary files /dev/null and b/research/borrowed-centre-storage/annexes/full-w-component/frozen/worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz differ diff --git a/research/borrowed-centre-storage/annexes/full-w-component/portable/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py b/research/borrowed-centre-storage/annexes/full-w-component/portable/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py new file mode 100644 index 0000000000..463c3a7afa --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/portable/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py @@ -0,0 +1,458 @@ +"""Check the interfaces and costs of the two-cut dirty-record composition. + +Read frozen packets. Do not import or run a producer or reconstruct its +owner census. The literal local-word reviews remain separate premises. +""" + +from collections import Counter +from copy import deepcopy +from fractions import Fraction +from hashlib import sha256 +import gzip +import json +from pathlib import Path +import shutil +import tarfile + + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[6] +LANES = ROOT/'work/centre-encoding-campaign-20261014/lanes' +PACK = HERE.parent.parent +RESIDUAL = LANES/'residual-syndrome/physical-algebra/eight-record-review-20261015' +CONSUMER = PACK.parent/'common-f-review-20261015' +A = (0, 7, 20, 27, 36, 46, 57, 111) +PINS = {} + + +def need(ok, label): + if not ok: + raise ValueError(label) + + +def read(path, expected=None): + raw = path.read_bytes() + digest = sha256(raw).hexdigest() + if expected is not None: + need(digest == expected, 'Pin: '+str(path)) + PINS[str(path.relative_to(ROOT))] = digest + return json.loads(raw) if path.suffix == '.json' else raw.decode() + + +def manifest(path, expected): + value = read(path, expected) + result = {} + for name, pin in value['files'].items(): + if isinstance(pin, dict): + pin = pin['sha256'] + result[name] = read(path.parent/name, pin) + return result + + +def apply(columns, vector): + result = 0 + while vector: + bit = vector & -vector + result ^= columns[bit.bit_length()-1] + vector ^= bit + return result + + +def inverse_pair(columns, inverse): + need(len(columns) == len(inverse) == 73, '73-axis matrices') + need(all(apply(columns, inverse[i]) == 1 << i and + apply(inverse, columns[i]) == 1 << i for i in range(73)), 'Matrix inverse') + need(inverse == [sum(((column >> i) & 1) << j for j, column in enumerate(columns)) + for i in range(73)], 'Orthogonal matrix transpose') + + +def phase(axes, translation=0): + linear = [2*((translation >> i) & 1) for i in range(73)] + quadratic = set() + for vector in axes: + support = [i for i in range(73) if (vector >> i) & 1] + for i in support: + linear[i] = (linear[i]+1) % 4 + for at, i in enumerate(support): + for j in support[at+1:]: + key = i, j + if key in quadratic: + quadratic.remove(key) + else: + quadratic.add(key) + return tuple(linear), frozenset(quadratic) + + +def phase_add(a, b): + return tuple((x+y) % 4 for x, y in zip(a[0], b[0])), a[1] ^ b[1] + + +def phase_at(value, character): + total = sum(value[0][i] for i in range(73) if (character >> i) & 1) + total += 2*sum(((character >> i) & 1) and ((character >> j) & 1) for i, j in value[1]) + return total % 4 + + +def scalar_bill(events): + counts, costs, coefficients = Counter(), Counter(), Counter() + for event in events: + op = event['op'] + counts[op] += 1 + if op == 'clear': + costs[op] += 2 + elif op in ('add', 'scale'): + coefficient = Fraction(event['c']) + n, d = abs(coefficient.numerator), coefficient.denominator + need(n and not n & (n-1) and not d & (d-1), 'Dyadic-unit coefficient') + coefficients[op+':'+str(coefficient)] += 1 + if op == 'add': + costs[op] += 2*(2+n.bit_length()+n.bit_count()+d.bit_length()-1) + else: + costs[op] += 2*(abs(n.bit_length()-d.bit_length())+(coefficient < 0)) + return {'event_counts': dict(sorted(counts.items())), + 'scalar_by_op': dict(sorted(costs.items())), + 'scalar_allowance': sum(costs.values()), + 'coefficients': dict(sorted(coefficients.items()))} + + +def add(a, b, factor=1): + out = dict(a) + for key, value in b.items(): + out[key] = out.get(key, 0)+factor*value + if not out[key]: + del out[key] + return out + + +def product(a, b): + out = {} + for left, av in a.items(): + for right, bv in b.items(): + word = left+right + if any(word[i:i+2] == ('G', 'E') for i in range(len(word)-1)): + continue + out[word] = out.get(word, 0)+av*bv + return {word: value for word, value in out.items() if value} + + +def matrix_product(a, b): + return [[add(product(a[i][0], b[0][j]), product(a[i][1], b[1][j])) + for j in range(2)] for i in range(2)] + + +def outer_check(outer, template, allocation, cuts, repair, cleanup): + expected_procedures = {'capture':repair['capture'], 'repair':repair['repair'][8:], + 'cleanup':cleanup['cleanup']} + need(outer['procedures'] == expected_procedures, 'Exact procedures and removed E1 lifts') + schedule, old = outer['schedule'], template['execution_schedule'] + anchors = [(i,e['old_event']) for i,e in enumerate(schedule) if 'old_event' in e] + need([at for _,at in anchors] == list(range(482)) and anchors[0][0] == 0, 'All old events once in order') + need(len(old) == 482 and template['private_namespace']['centers'] == [14336,14344], 'Actual old namespace') + rows = {r:sorted((e for e in allocation['selected'] if e['role']//8 == r), key=lambda e:e['role']) for r in range(16)} + cut_by_event = {} + for r, cut in cuts.items(): + for name, key in [('capture','capture_after_event'),('repair','repair_after_event'),('cleanup','cleanup_after_event')]: + need(cut[key] not in cut_by_event, 'Separate boundary anchors') + cut_by_event[cut[key]] = r,name + bridge_ordinals = Counter() + protected = {} + live = set() + peak = 0 + active_exclusions = 0 + lease_trace = [] + levels = {(r,pair):-1 for r in range(16) for pair in range(4)} + for at, (position, _) in enumerate(anchors): + entry, source = schedule[position], old[at] + end = anchors[at+1][0] if at+1 < len(anchors) else len(schedule) + tail = schedule[position+1:end] + kind, replica = source['kind'], source.get('replica') + if kind == 'bridge': + number = bridge_ordinals[replica] + bridge_ordinals[replica] += 1 + src, dst = source['src'], source['dst'] + need(levels[replica,src] == levels[replica,dst], 'Actual bridge levels') + if number < 6: + need(entry == dict(op='physical_pair_swap',old_event=at,replica=replica,src_pair=src,dst_pair=dst, + ports=list(range(112)),ordered_scalar_word=['a+=b','b-=a','a+=b','b=-b']), 'Actual full-W swap binding') + if protected.get(replica) in (src,dst): + protected[replica] = dst if protected[replica] == src else src + else: + need(entry == dict(op='omit_full_W_bridge',old_event=at), 'Last three bridge omissions') + elif kind in ('terminal','terminal_Y_translations'): + need(entry == dict(op='omit_full_W_terminal',old_event=at), 'Full-W terminal omission') + else: + need(entry == dict(op='retained_event',old_event=at), 'Retained old event') + if kind == 'local_cover_sweep': + call = template['calls'][source['time']] + need(call['replica'] == replica and call['stage'] == source['stage'], 'Actual call identity') + owners = [e[0] for e in call['owners'][:224]] + need(owners == list(range(896*replica+224*call['pair'],896*replica+224*(call['pair']+1))), 'Actual data family layout') + if replica in protected: + kept = set(range(896*replica+224*protected[replica],896*replica+224*(protected[replica]+1))) + need(not kept.intersection(owners), 'No later actual active owner reads protected pair') + active_exclusions += 1 + need(call['stage'] == 0 or levels[replica,call['pair']] == call['stage']-1, 'Actual active entrance') + levels[replica,call['pair']] = call['stage'] + elif kind == 'idle_cover_sweep': + need(levels[replica,source['pair']] == source['from_level'], 'Actual idle entrance') + levels[replica,source['pair']] = source['to_level'] + if at in cut_by_event: + r, name = cut_by_event[at] + need(r == replica, 'Boundary replica') + if name in ('capture','repair'): + need(kind == 'local_cover_sweep' and source['stage'] == (0 if name == 'capture' else 1), 'F0/B1 boundary') + need(template['calls'][source['time']]['pair'] == 0, 'First-pair boundary') + pair = 0 + else: + need(kind == 'idle_cover_sweep' and source['pair'] == 1 and source['to_level'] == 2 and + protected.get(r) == 1 and source['source_event'] == 5, 'Full pair parked at completed U2 cut') + pair = 1 + donor_rows = rows[r] + call_positions = [i for i,e in enumerate(tail) if e['op'] == 'call_procedure'] + need(len(call_positions) == 1, 'One complete local procedure at boundary') + call_at = call_positions[0] + invocation = tail[call_at] + expected_bindings = {side+str(p):896*r+224*pair+112*s+p for s,side in enumerate(('X','Y')) for p in range(112)} + expected_bindings.update({'R'+str(p):row['family'] for p,row in zip(A,donor_rows)}) + expected_bindings['C'] = 14336 + need(invocation == dict(op='call_procedure',name=name,bindings=expected_bindings), 'Actual procedure owner binding') + need(len(set(expected_bindings.values())) == 233, 'No alias among data, donors and old C0') + gather = [dict(op='donor_cover_map',field=row['family'],columns=row['U_inverse_columns']) for row in donor_rows] + returns = [dict(op='donor_cover_map',field=row['family'],columns=row['U_columns']) for row in donor_rows] + def adapters(index): + return [dict(op='native_adapter',field=row['family'],recipe=row['adapters'][index]) for row in donor_rows + if row['adapters'][index]['axes'] or row['adapters'][index]['translation']] + before = ([] if name == 'capture' else adapters(0 if name == 'repair' else 1))+gather + after = returns+(adapters(2) if name == 'cleanup' else []) + need(tail[:call_at] == before, 'Adapter before gather and exact inverse cover direction') + need(tail[call_at+1:] == after, 'Return before A3 and restoration before next old event') + if name == 'capture': + live.add(r) + peak = max(peak,8*len(live)) + elif name == 'repair': + need(r in live, 'Repair within donor lease') + protected[r] = 0 + else: + need(r in live, 'Erase within donor lease') + live.remove(r) + lease_trace.append({'old_event':at,'replica':r,'boundary':name,'live_donors_after':8*len(live)}) + elif at == 480: + need(kind == 'bank_padding_cover_sweep' and old[481]['kind'] == 'translate_every_live_family', 'Actual final endpoint placement') + need(tail == [dict(op='positive_X_lines',replicas=list(range(16)),pair=0,ports=list(range(112)),rank=1)], 'Endpoint after tail and before common translation') + need(not live and protected == {r:0 for r in range(16)}, 'Restored first pairs before final lines') + else: + need(tail == [], 'No unpriced or late operation between old events') + need(not live and peak == 48 and bridge_ordinals == Counter({r:9 for r in range(16)}), 'All leases and bridge instances') + return {'old_events':len(anchors),'local_calls':len(template['calls']), 'procedure_calls':48, + 'protected_active_owner_exclusions':active_exclusions, 'peak_live_borrowed_donors':peak, + 'restoration_deadline':'Each cleanup block returns donors and applies A3 before the next original event.', + 'owned_scratch_family':14336,'lease_trace':lease_trace} + + +def main(): + need(shutil.disk_usage(HERE).free >= 3*1024**3, 'Three GiB free') + donors = manifest(PACK/'TWO-CUT-MANIFEST.json', + 'bae5f1cb0f3738b7246be3e26f88c8c872a0e17cf4054b527dc74d25cf2837b0') + local = manifest(PACK/'EIGHT-RECORD-MANIFEST.json', + '6ff0c36e99b09cd475e970436819a177c3d82e365c9a1d63904ce05e4388113f') + own = manifest(HERE.parent/'MANIFEST.json', + '4c834b51aae5cbaedbf61fe9b8c1939047fbc0271a6bef667c1a203e70220c64') + cleanup = read(RESIDUAL/'DELAYED-CLEANUP-ONE-C-WORD.json', + 'bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880') + read(RESIDUAL/'DELAYED-CLEANUP.md', + 'de6c40e4b2f8280dd5406e7ccfbe8a8adbe476b379404403b5b0d8dd73224d04') + local_review = read(RESIDUAL/'REVIEW.json', + '17b03e51d1a3ca9a8628bfcebc4e8b52208a77741ce2d7ed8c62cf89d57605b4') + need(local_review['status'] == 'PASS_INDEPENDENT_EIGHT_RECORD_REPAIR' and + local_review['files']['producer/eight-records/EIGHT-RECORD-WORDS.json'] == + '8dcb0f29d2b0275e5d5395511d10451b8675c9ffe37ebdbd452c0132a17b15f4', 'Independent local repair review') + cleanup_review = read(LANES/'residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/REVIEW.json', + '74f7f7e2dd1eb4c36762b315f32b8a2462a9ab5dcd44d7378adea5a5a29ed993') + need(cleanup_review['status'] == 'PASS_INDEPENDENT_CONDITIONAL_DELAYED_DIRTY_RECORD_CLEANUP', 'Independent cleanup review') + need(cleanup_review['producer_words']['DELAYED-CLEANUP-ONE-C-WORD.json'] == + 'bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880', 'Reviewed cleanup word binding') + outer_files = manifest(PACK/'DIRTY-CONSUMER-MANIFEST.json', + 'a83988bfbef25e613391af95fd5f4829994b327b8b10cd62277d31f9df751213') + outer = outer_files['consumer/DIRTY-CONSUMER-WORD.json'] + archive_path = ROOT/'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' + archive_hash = sha256(archive_path.read_bytes()).hexdigest() + need(archive_hash == 'f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6', 'Selected archive pin') + PINS[str(archive_path.relative_to(ROOT))] = archive_hash + with tarfile.open(archive_path) as archive: + compressed = archive.extractfile('candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz').read() + need(sha256(compressed).hexdigest() == '2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760', 'Actual global template pin') + template = json.loads(gzip.decompress(compressed)) + consumer = read(CONSUMER/'CONSUMER.word.json', + 'dcab2956719da84a4284f03bbc02ea02d121998582261b0a3fde50dc56e5f13a') + consumer_review = read(PACK.parent/'common-f-independent-review-20261015/REVIEW.json', + 'a930a9cda3f573f16b59d4538bc2920d9d22a8ba0e74e4a0e5ad6ce926a16fef') + need(consumer_review['status'] == 'PASS_INDEPENDENT_COMMON_F_FOLLOWTHROUGH_REVIEW', 'Independent full-W consumer review') + need(own['ALGEBRA.json']['status'] == 'PASS_EIGHT_DIRTY_DONOR_ECHO_ALGEBRA', 'Frozen dirty algebra') + packet = donors['TWO-CUT-DONORS.json'] + allocation = packet['allocations']['all'] + selected = allocation['selected'] + need(sorted(row['role'] for row in selected) == list(range(128)), 'All record roles') + need(len({row['family'] for row in selected}) == 128, 'Distinct donors') + cuts = {row['replica']: row for row in packet['rows']} + profile, cut_profiles = Counter(), [Counter(), Counter(), Counter()] + translations = standalone = wrapper_count = 0 + reversed_map = premature_adapter = None + for row in selected: + need(0 <= row['family'] < 14336, 'An old donor family') + interval = cuts[row['role']//8] + bounds = [interval[name] for name in ('capture_after_event', 'repair_after_event', 'cleanup_after_event')] + need(bounds[0] < bounds[1] < bounds[2], 'Three ordered cuts') + axes, shifts = [], [] + for index, path in enumerate(row['paths']): + need(all(bounds[index] < entry['event'] <= bounds[index+1] for entry in path), 'Path lies within cuts') + axes.append([v for entry in path for v in entry['axes']]) + shift = 0 + for entry in path: + shift ^= entry['translation'] + shifts.append(shift) + need(len(set(axes[0]+axes[1])) == len(axes[0]+axes[1]), 'Disjoint old native axes') + wanted = row['desired_axes'] + need(len(wanted[0]) == len(wanted[1]) == 8 and not set(wanted[0]) & set(wanted[1]), 'Disjoint desired blocks') + U, Uinv = row['U_columns'], row['U_inverse_columns'] + inverse_pair(U, Uinv) + need(U[9:17] == wanted[0] and U[17:25] == wanted[1], 'Same forward map at both cuts') + native = [phase(axes[i], shifts[i]) for i in range(2)] + desired = [phase(wanted[i]) for i in range(2)] + adapters = [] + for index, adapter in enumerate(row['adapters']): + rank = len(adapter['axes']) + adapters.append(phase(adapter['axes'], adapter['translation'])) + translations += bool(adapter['translation']) + standalone += bool(adapter['translation'] and not rank) + if rank: + profile[rank] += 1 + cut_profiles[index][rank] += 1 + wrapper_count += 2 + need(adapter['left_columns'][:rank] == adapter['axes'], 'Wrapper native block') + inverse_pair(adapter['left_columns'], adapter['right_columns']) + need(all(phase_add(adapters[i], native[i]) == desired[i] for i in range(2)), 'Both complete cut phases') + need(phase_add(adapters[2], phase_add(*desired)) == phase_add(*native), 'Exact baseline restoration phase') + if reversed_map is None and set(Uinv[9:17]) != set(wanted[0]): + reversed_map = {'role': row['role'], 'family': row['family'], + 'expected_D1': wanted[0], 'wrong_D1': Uinv[9:17]} + adapter = row['adapters'][2] + conjugated = phase([apply(Uinv, v) for v in adapter['axes']], apply(Uinv, adapter['translation'])) + if premature_adapter is None and adapters[2] != conjugated: + characters = [1 << i for i in range(73)] + characters += [(1 << i) | (1 << j) for i in range(73) for j in range(i+1, 73)] + character = next(c for c in characters if phase_at(adapters[2], c) != phase_at(conjugated, c)) + premature_adapter = {'role': row['role'], 'family': row['family'], 'character': character, + 'physical_adapter_phase': phase_at(adapters[2], character), + 'required_gathered_adapter_phase': phase_at(conjugated, character)} + need(profile == Counter({1:200, 2:7}), 'All three adapter profiles') + need(wrapper_count == 414 and translations == 107 and standalone == 0, 'All adapter maps and translations') + need(reversed_map is not None and premature_adapter is not None, 'Direction controls') + + repair = local['eight-records/EIGHT-RECORD-WORDS.json']['dirty_eight_A_before_cleanup'] + need(repair['capture'] == [dict(op='add', dst='R'+str(p), src='X'+str(p), c='1') for p in A], 'Dirty capture has no CLEAR') + expected_lifts = [dict(op='stage', field='R'+str(p), rank=8, sign=1, stage=1) for p in A] + need(repair['repair'][:8] == expected_lifts, 'Exactly eight replaced record lifts') + local_events = repair['capture']+repair['repair'][8:] + need(not any(e['op'] == 'stage' for e in local_events), 'No double record advance') + need(all(e['field'] == 'C' for e in local_events if e['op'] == 'clear'), 'No data or donor CLEAR') + local_bill = scalar_bill(local_events) + cleanup_bill = scalar_bill(cleanup['cleanup']) + need(local_bill['scalar_allowance'] == 20322 and local_bill['event_counts']['map'] == 240, 'Repair subtotal') + need(cleanup_bill['scalar_allowance'] == 23780 and cleanup_bill['event_counts']['map'] == 224, 'Cleanup subtotal') + need(cleanup['cleanup'] == cleanup['alias_shear']+cleanup['current_stage2_query']+ + cleanup['inverse_alias_shear']+cleanup['selected_error_correction'], 'Complete cleanup order') + need(all(e['field'] == 'C' for e in cleanup['cleanup'] if e['op'] == 'clear'), 'Owned cleanup scratch only') + + I, E, G = {():1}, {('E',):1}, {('G',):1} + B = [[I,E],[G,I]] + inverse = [[add(I,product(E,G)),{('E',):-1}],[{('G',):-1},I]] + identity = [[I,{}],[{},I]] + need(matrix_product(inverse,B) == identity and matrix_product(B,inverse) == identity, + 'Two-sided Schur inverse under G E=0') + + full = consumer['variants']['whole_pair_112'] + need(full['retired_ports'] == list(range(112)) and full['return_after_repair'] == [], 'Full-W consumer') + need(consumer['final_three_bridges_on_retired_ports'] == [] and consumer['terminal_on_retired_ports'] == [], 'Late omitted events') + bridge = full['port_swap_each_first_six_bridge'] + fields = [side+'_'+bank+':'+str(p) for p in range(112) for side in ('X','Y') for bank in ('src','dst')] + values = {field: {field:1} for field in fields} + for event in bridge: + if event['op'] == 'add': + values[event['dst']] = add(values[event['dst']], values[event['src']], Fraction(event['c'])) + elif event['op'] == 'scale': + values[event['field']] = {key: Fraction(event['c'])*value for key,value in values[event['field']].items()} + else: + raise ValueError('Physical swap event') + for p in range(112): + for side in ('X','Y'): + for bank, other in [('src','dst'),('dst','src')]: + need(values[side+'_'+bank+':'+str(p)] == {side+'_'+other+':'+str(p):1}, 'Arbitrary physical swap') + bridge_bill = scalar_bill(bridge) + need(6*bridge_bill['scalar_allowance'] == 34944, 'Full nine-bridge replacement subtotal') + endpoint = full['final_pair0_X_correction'] + need(endpoint == [dict(field='X'+str(p),op='line',port=p,rank=1,sign=1) for p in range(112)], 'Positive endpoint lines') + line_count = sum(e['op'] == 'line' for e in local_events) + need(line_count == 112, 'Positive Y repair lines') + need([e for e in local_events if e['op'] == 'line'] == + [dict(field='Y'+str(p),op='line',port=p,rank=1,sign=1) for p in range(112)], 'Literal positive Y lines') + schedule_check = outer_check(outer,template,allocation,cuts,repair,cleanup) + schedule_controls = {} + for mutation in ('reverse_capture_cover','A3_before_return','keep_synthetic_record_lift','partial_W_swap'): + changed = deepcopy(outer) + events = changed['schedule'] + if mutation == 'reverse_capture_cover': + index = next(i for i,e in enumerate(events) if e['op'] == 'donor_cover_map') + events[index]['columns'] = selected[0]['U_columns'] + elif mutation == 'A3_before_return': + cleanup_at = cuts[3]['cleanup_after_event'] + start = next(i for i,e in enumerate(events) if e.get('old_event') == cleanup_at) + end = next(i for i in range(start+1,len(events)) if 'old_event' in events[i]) + call_at = next(i for i in range(start+1,end) if events[i]['op'] == 'call_procedure') + adapter_at = next(i for i in range(call_at+1,end) if events[i]['op'] == 'native_adapter') + events.insert(call_at+1,events.pop(adapter_at)) + elif mutation == 'keep_synthetic_record_lift': + changed['procedures']['repair'].insert(0,repair['repair'][0]) + else: + event = next(e for e in events if e['op'] == 'physical_pair_swap') + event['ports'] = list(A) + try: + outer_check(changed,template,allocation,cuts,repair,cleanup) + except ValueError as error: + schedule_controls[mutation] = str(error) + else: + raise ValueError('Ineffective outer-word control: '+mutation) + total_profile = profile+Counter({1:16*(line_count+len(endpoint))}) + totals = {'native_profile': dict(sorted(total_profile.items())), + 'native_mass': sum(rank*count for rank,count in total_profile.items()), + 'native_wrappers': wrapper_count+2*16*(line_count+len(endpoint)), + 'cover_maps': 16*(240+224)+6*128, + 'local_scalar_allowance': 16*(20322+23780), + 'bridge_scalar_allowance': 16*34944, + 'scalar_total_before_native_and_address_costs': 16*(20322+23780+34944), + 'standalone_adapter_translations': standalone} + need(totals['native_mass'] == 3798 and totals['native_wrappers'] == 7582 and + totals['cover_maps'] == 8192, 'Global component invoice') + outer_invoice = outer_files['consumer/DIRTY-CONSUMER.json']['component_invoice'] + for reported,actual in [('added_native_profile','native_profile'),('added_native_mass','native_mass'), + ('added_native_wrappers','native_wrappers'),('ordinary_and_donor_cover_maps','cover_maps'), + ('local_scalar_allowance','local_scalar_allowance'),('full_modified_bridge_scalar_allowance','bridge_scalar_allowance')]: + expected = totals[actual] + if isinstance(expected,dict): + expected = {str(k):v for k,v in expected.items()} + need(outer_invoice[reported] == expected, 'Outer receipt subtotal: '+reported) + result = {'status':'PASS_ORDERED_DIRTY_RECORD_COMPOSITION', 'source_pins':PINS, + 'coverage':'Actual 482-event outer word, boundary owner bindings, exact adapter phases, arbitrary-input block composition, physical swaps, and literal scalar counts. No donor census or local-word replay.', + 'donor_roles':128, 'donor_views':'At each cut gather with U^-1 and return with U. Apply A3 after return.', + 'adapter_profiles_by_cut':[dict(sorted(c.items())) for c in cut_profiles], + 'adapter_translations':translations, 'local_bill':local_bill, 'cleanup_bill':cleanup_bill, + 'one_bridge_bill':bridge_bill, 'totals':totals, + 'negative_controls':{'reverse_cover_direction':reversed_map,'A3_before_donor_return':premature_adapter}, + 'outer_word_checks':schedule_check,'outer_word_negative_controls':schedule_controls, + 'outstanding_review_inputs':['Independent actual donor-path review','Separate all-output dirt audit']} + path = HERE/'CHECK.json' + path.write_text(json.dumps(result,indent=2,sort_keys=True)+'\n') + print(json.dumps({'status':result['status'],'receipt_sha256':sha256(path.read_bytes()).hexdigest(),'totals':totals},sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/annexes/full-w-component/replay.py b/research/borrowed-centre-storage/annexes/full-w-component/replay.py new file mode 100644 index 0000000000..6641e44a0c --- /dev/null +++ b/research/borrowed-centre-storage/annexes/full-w-component/replay.py @@ -0,0 +1,99 @@ +"""Replay the four frozen full-W component reviews in a private directory.""" + +import argparse +import hashlib +import json +import os +from pathlib import Path +import shutil +import subprocess +import sys +import time + + +HERE = Path(__file__).resolve().parent +LANES = Path("work/centre-encoding-campaign-20261014/lanes") +DIRTY = LANES / "portable-source-codes/dirty-record-hosting-20261015" +PHYSICAL = LANES / "residual-syndrome/physical-algebra" +JOBS = ( + ("composition", DIRTY / "algebra/composition-review/check_composition.py", + DIRTY / "algebra/composition-review/CHECK.json", False), + ("donors", LANES / "source-domain/two-cut-donor-review/review_donors.py", + LANES / "source-domain/two-cut-donor-review/REVIEW.json", True), + ("cleanup", PHYSICAL / "review-gauss/delayed-dirty-cleanup/check_review.py", + PHYSICAL / "review-gauss/delayed-dirty-cleanup/CHECK.json", False), + ("all-output", PHYSICAL / "review-gauss/all-output-dirt/check_review.py", + PHYSICAL / "review-gauss/all-output-dirt/CHECK.json", False), +) + + +def digest(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def check_sources(manifest): + for row in manifest["files"]: + path = HERE / row["path"] + if path.stat().st_size != row["bytes"] or digest(path) != row["sha256"]: + raise ValueError("Frozen source mismatch: " + row["path"]) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + out = args.out.resolve() + if out.exists(): + raise ValueError("Use a new output directory") + if HERE == out or HERE in out.parents: + raise ValueError("Keep replay output outside the annex") + if shutil.disk_usage(out.parent).free < 3 * 1024 ** 3: + raise ValueError("At least three GiB of free space are required") + manifest = json.loads((HERE / "SOURCES.json").read_text()) + adaptation = json.loads((HERE / "ADAPTATIONS.json").read_text())["changes"][0] + check_sources(manifest) + if digest(HERE / adaptation["portable"]) != adaptation["portable_sha256"]: + raise ValueError("Portable checker mismatch") + out.mkdir() + env = dict(os.environ) + env.update(OPENBLAS_NUM_THREADS="1", OMP_NUM_THREADS="1", + VECLIB_MAXIMUM_THREADS="1", MKL_NUM_THREADS="1") + records = [] + for name, script, receipt, explicit_output in JOBS: + stage = out / name + shutil.copytree(HERE / "frozen", stage) + if name == "composition": + shutil.copyfile(HERE / adaptation["portable"], stage / script) + command = [sys.executable, "-I", "-O", "-B", str(stage / script)] + if explicit_output: + command.extend(["--out", str(stage / receipt)]) + started = time.monotonic() + with (out / (name + ".log")).open("w") as log: + process = subprocess.run(command, cwd=stage, env=env, + stdout=log, stderr=subprocess.STDOUT) + if process.returncode: + raise RuntimeError(name + " failed; read " + str(out / (name + ".log"))) + expected = HERE / "frozen" / receipt + actual = stage / receipt + if actual.read_bytes() != expected.read_bytes(): + raise ValueError(name + " receipt differs from the frozen receipt") + shutil.copyfile(actual, out / (name + "-CHECK.json")) + records.append({"name": name, "command": command, + "receipt_sha256": digest(actual), + "status": json.loads(actual.read_text())["status"], + "byte_identical_to_frozen_receipt": True, + "elapsed_seconds": round(time.monotonic() - started, 3)}) + check_sources(manifest) + print("PASS_FULL_W_" + name.upper().replace("-", "_"), flush=True) + result = {"status": "PASS_FULL_W_COMPONENT_ANNEX", + "source_manifest_sha256": digest(HERE / "SOURCES.json"), + "adaptations_sha256": digest(HERE / "ADAPTATIONS.json"), + "source_files_unchanged": True, + "checks": records, + "scope": "Four component reviews; no complete supplier or kappa claim."} + (out / "REPLAY.json").write_text(json.dumps(result, indent=2) + "\n") + print(result["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/checks/borrowed_core.py b/research/borrowed-centre-storage/checks/borrowed_core.py new file mode 100644 index 0000000000..9ea3d05b4e --- /dev/null +++ b/research/borrowed-centre-storage/checks/borrowed_core.py @@ -0,0 +1,137 @@ +"""Check the borrowed centre word without the producer implementation.""" + +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json + +ROOT = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" + +def require(value, message): + if not value: + raise ValueError(message) + + +def read(name, pin, compressed=False): + raw = (ROOT / name).read_bytes() + if compressed: + raw = gzip.decompress(raw) + require(sha256(raw).hexdigest() == pin, "A reviewed input changed: " + name) + return json.loads(raw) + + +def index(register): + return register[1] + (704 if register[0] == "C" else 0) + + +def plus(target, source, coefficient): + for key, value in source.items(): + result = target.get(key, Q(0)) + coefficient * value + if result: + target[key] = result + else: + target.pop(key, None) + + +def replay(program, word): + rows = [{i: Q(1)} for i in range(712)] + frames = word["start"] + [0]*8 + cost, gates, native = 0, Counter(), Counter() + for event in program: + if event[0] == "climb": + _, _, target, before, after, rank = event + require(frames[target] == before, "A native entry frame is wrong.") + frames[target] = after + native[rank] += 1 + if event[0] != "scalar": + continue + gate, frame = event[1:] + kind, target = gate[0], index(gate[1]) + gates[kind] += 1 + require(kind in ("add", "scale"), "A borrowed word clears or copies a field.") + require(frames[target] == frame, "A scalar target frame is wrong.") + if kind == "add": + source, coefficient = index(gate[2]), Q(gate[3], gate[4]) + require(frames[source] == frame, "A scalar source frame is wrong.") + plus(rows[target], rows[source], coefficient) + else: + coefficient = Q(gate[2], gate[3]) + rows[target] = {key: coefficient*value for key, value in rows[target].items()} + a, b = abs(coefficient.numerator), coefficient.denominator + require(a > 0 and b & (b-1) == 0, "A coefficient is not a nonzero dyadic.") + if kind == "scale": + require(a & (a-1) == 0, "A scale is not a power of two.") + cost += 2*(abs(a.bit_length()-b.bit_length())+int(coefficient < 0)) + else: + cost += 2*(3+a.bit_length()-1+a.bit_count()+b.bit_length()-1) + require(frames == word["final"]+[0]*8, "The complete frames changed.") + return rows, cost, gates, native + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.parent.mkdir(parents=True, exist_ok=True) + old = read("lanes/circuit-interface/CENTRE-FREE-PROGRAMS.json.gz", + "fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877", True) + new = read("lanes/circuit-interface/borrowed-centres/BORROWED-CENTRES-PROGRAMS.json.gz", + "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", True) + interface = read("lanes/circuit-interface/INTERFACE.json", + "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3") + word_raw = (Path(__file__).resolve().parents[1] / "sources/selected/CANONICAL-WORD.json.gz").read_bytes() + require(sha256(word_raw).hexdigest() == "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", "Canonical word pin") + word = json.loads(gzip.decompress(word_raw)) + r = [[Q(row.get(str(p), 0)) for p in range(112)] for row in interface["R"]] + j = [[Q(a == b)-sum(r[k][a]*r[k][b] for k in range(8))/4 + for b in range(112)] for a in range(112)] + checks = {} + for direction in ("forward", "backward"): + program = new["programs"][direction] + native = lambda p: [event for event in p if event[0] != "scalar"] + require(native(program) == native(old[direction]), "A native event or phase label changed.") + rows, cost, gates, children = replay(program, word) + expected = [{i: Q(1)} for i in range(712)] + for a in range(112): + target, offset, sign = (112+a, 0, 1) if direction == "forward" else (a, 112, -1) + plus(expected[target], {offset+b: q for b, q in enumerate(j[a]) if q}, Q(sign)) + require(rows == expected, "The complete arbitrary-input content map is wrong.") + require(cost == 207606 and sum(gates.values()) == 20653, + "The literal scalar invoice differs.") + require(sum(rank*count for rank, count in children.items()) == 5522, + "The native rank mass differs.") + start = program.index(["phase", "centre_dirty_correction"]) + finish = program.index(["phase", "A"]) + block = program[start+1:finish] + require(len(block) == 1160 and all(e[0] == "scalar" and e[2] == 0 for e in block), + "The borrowed block is not the expected zero-frame word.") + bad = program[:start+1] + program[start+2:] + wrong, _, _, _ = replay(bad, word) + require(any(any(k >= 704 for k in row) for row in wrong[:704]), + "Omitting the initial subtraction did not expose borrowed data.") + bad = program[:finish-1] + program[finish:] + wrong, _, _, _ = replay(bad, word) + require(wrong[704:] != expected[704:], "Omitting the last uncompute did not break restoration.") + checks[direction] = dict(input_columns=712, arbitrary_helpers_restored=480, + arbitrary_centre_fields_restored=8, native_events_unchanged=True, + scalar_frames_checked=True, native_rank_mass=5522, + scalar_macros=sum(gates.values()), real_primitives=cost, + baseline_omission_rejected=True, uncompute_omission_rejected=True) + report = dict(status="PASS_INDEPENDENT_BORROWED_CENTRES_NATIVE_INTERFACE", + producer_imported=False, source_commit="bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + borrowed_payload_sha256="6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + checks=checks, + scope="The actual unchanged native frames and children with arbitrary borrowed centre state. The old exact complex native contracts are inherited.", + not_claimed=["The stage-seven private cancellation preserves these fields", + "A global query carrier schedule", "A complete supplier or kappa gain"]) + args.out.write_text(json.dumps(report, indent=2, sort_keys=True)+"\n") + print(report["status"]) + print(json.dumps(checks, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/checks/carried_alias.py b/research/borrowed-centre-storage/checks/carried_alias.py new file mode 100644 index 0000000000..4c20413c9f --- /dev/null +++ b/research/borrowed-centre-storage/checks/carried_alias.py @@ -0,0 +1,353 @@ +"""Check the carried alias without importing a producer or native compiler.""" + +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from itertools import combinations +from pathlib import Path +import argparse +import gzip +import json + + +HERE = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" / "lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias" +PHYSICAL = HERE.parents[2] +LANES = PHYSICAL.parents[1] +ROOT = LANES.parents[2] +MODULE = LANES / "circuit-interface/borrowed-centres" +BASE = "bce54fb3f895cbe5cd4c0eb477c3afeed100190f" +ARCHIVE = "research/community-frontier1042-audit/selected-replay.tar.gz" +PHASES = "t16/global/base/work/complex-nine-native/DATA-PHASES.json" +TEMPLATE = "t16/global/base/split-centres/GLOBAL-TEMPLATE.json.gz" +PLAN = "research/complex-t16-rare-pattern-exchanges/data/PLAN.json" +PINS = { + "payload": "677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d", + "word": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", + "R": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "logger": "ac824c98819dc1defef14788bf5215f72323f49a49f1f8bec4ee373558eba82e", + "borrowed": "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + "native_review": "ebf14b2eccffc0b3a2f03858a84c72792d27d7dd4a177f0b02609921f6258144", + "note": "0a1c3319c2d0ffba4cb70f1a5aca35c2d62072a2380afeaad0c301e29b10e12f", + "producer": "eec25fa79fca117181b619fba9448bbfe0d358373ba00c1ccdc3daceebfa1623", + "producer_receipt": "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2", + ARCHIVE: "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + PHASES: "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + TEMPLATE: "a179dad87651aba340a5a8ddbcd86a8e757cad87b8a1f8bad48106fbecd38518", + PLAN: "7bd786ba8e66408f02aa9ef446eaf20c1bfe981ea2e4dd1e5a929f0aa7767bc0", +} +T = [21, 37, 47, 76, 81, 87, 92, 110] +A = [0, 7, 20, 27, 36, 46, 57, 111] + + +def pinned(raw, key): + assert sha256(raw).hexdigest() == PINS[key], key + return raw + + +def read(path, key, compressed=False, file_pin=False): + raw = path.read_bytes() + if file_pin: + pinned(raw, key) + if compressed: + raw = gzip.decompress(raw) + if not file_pin: + pinned(raw, key) + return json.loads(raw) + + + + +def rational(rows): + return [{int(j): Q(v) for j, v in row.items()} for row in rows] + + +def add(a, b, coefficient): + result = a.copy() + for j, value in b.items(): + result[j] = result.get(j, 0) + coefficient * value + if not result[j]: + del result[j] + return result + + +def multiply(a, b): + out = [] + for row in a: + value = {} + for j, coefficient in row.items(): + value = add(value, b[j], coefficient) + out.append(value) + return out + + +def place(location): + bank, j = location + assert bank in ("L", "C") + assert 0 <= j < (704 if bank == "L" else 8) + return j if bank == "L" else 704 + j + + +def scalar_cost(gate): + assert gate[0] in ("add", "scale") + value = Q(*gate[2:]) if gate[0] == "scale" else Q(*gate[3:]) + a, b = abs(value.numerator), value.denominator + assert a and b & (b - 1) == 0 + if gate[0] == "scale": + assert a & (a - 1) == 0 + return 2 * (abs(a.bit_length() - b.bit_length()) + (value < 0)) + return 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + + +def replay(events, initial, word): + rows = [row.copy() for row in initial] + frames = word["start"][:] + [0] * 8 + profile, operations = Counter(), Counter() + cost = 0 + for event in events: + kind = event[0] + if kind == "climb": + _, _, p, before, after, rank = event + assert frames[p] == before + frames[p] = after + profile[rank] += 1 + elif kind == "input_target_line": + _, p, label, sign, before, after, rank = event + assert p in A and label == word["ports"][p] and rank == 1 + assert frames[p] == before + assert (sign, before, after) in ((-1, word["start"][p], 0), (1, 0, word["start"][p])) + frames[p] = after + profile[1] += 1 + elif kind == "scalar": + gate, frame = event[1:] + target = place(gate[1]) + assert frames[target] == frame + assert gate[0] in ("add", "scale") + if gate[0] == "add": + source = place(gate[2]) + assert source != target and frames[source] == frame + rows[target] = add(rows[target], rows[source], Q(*gate[3:])) + else: + rows[target] = {j: Q(*gate[2:]) * q for j, q in rows[target].items()} + operations[gate[0]] += 1 + cost += scalar_cost(gate) + else: + assert kind in ("phase", "adapter", "residual_adapter") + assert frames == word["final"] + [0] * 8 + return rows, {"native_profile": dict(sorted(profile.items())), + "native_mass": sum(k * v for k, v in profile.items()), + "real_primitives": cost, "scalar_operations": dict(operations)} + + +def dot(a, b): + return (a & b).bit_count() % 2 + + +def route(z, stage, complement): + # Each even transvection swaps one pair of orthonormal axes. + if stage: + for k, b in enumerate(complement): + difference = b ^ (1 << (9 + 8 * (stage - 1) + k)) + if dot(z, difference): + z ^= difference + return z + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.parent.mkdir(parents=True, exist_ok=True) + payload = read(PHYSICAL / "CARRIED-QUERY-ALIAS-PROGRAMS.json.gz", "payload", True) + pinned((PHYSICAL / "CARRIED-QUERY-ALIAS.md").read_bytes(), "note") + pinned((PHYSICAL / "verify_carried_query_alias.py").read_bytes(), "producer") + producer = read(PHYSICAL / "CARRIED-QUERY-ALIAS.json", "producer_receipt") + assert producer["payload_sha256"] == PINS["payload"] + word = read(ROOT / "work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz", "word", True, True) + r = rational(read(LANES / "circuit-interface/INTERFACE.json", "R")["R"]) + logger = read(MODULE / "INPUT-SOURCE-FAMILY-PROGRAMS.json.gz", "logger", True) + borrowed = read(MODULE / "BORROWED-CENTRES-PROGRAMS.json.gz", "borrowed", True)["programs"] + native = read(LANES / "interface-proof/INPUT-COMPENSATION-NATIVE-REVIEW.json", "native_review") + assert native["status"] == "PASS_ACTUAL_INPUT_COMPENSATION_NATIVE_PREMISE" + assert payload["T_ports"] == logger["T_ports"] == T + assert logger["A_ports"] == A + def address(matrix, x): + return sum(dot(row, x) << i for i, row in enumerate(matrix)) + line_recipes = logger["input_line_recipes"] + assert {(r["port"], r["sign"]) for r in line_recipes} == {(p, sign) for p in A for sign in (-1, 1)} + assert len(line_recipes) == 16 + for item in line_recipes: + recipe, label, sign = item["recipe"], item["label"], item["sign"] + assert label == word["ports"][item["port"]] and recipe["rank"] == 1 + left, right = recipe["left"], recipe["right"] + assert left["offset"] == (label if sign == -1 else 0) and right["offset"] == 0 + for side in (left, right): + assert side["phase"] == 0 and side["linear_Z4"] == side["quadratic_rows"] == [0] * 9 + assert address(left["matrix_rows"], 1) == label + for i in range(9): + assert address(left["matrix_rows"], address(right["matrix_rows"], 1 << i)) == 1 << i + assert address(right["matrix_rows"], address(left["matrix_rows"], 1 << i)) == 1 << i + identity = [{i: Q(1)} for i in range(712)] + k_matrix = [{k: row[p] / 4 for k, row in enumerate(r) if p in row} for p in range(112)] + rt = [{k: row[p] for k, p in enumerate(T) if p in row} for row in r] + rt_inverse = [k_matrix[p] for p in T] + assert multiply(rt_inverse, rt) == [{k: 1} for k in range(8)] + assert multiply(rt, rt_inverse) == [{k: 1} for k in range(8)] + query = multiply(rt_inverse, r) + assert query == rational(payload["query_rows"]) + assert Counter(abs(q) for row in query for q in row.values()) == {Q(1): 8, Q(1, 2): 416} + b0 = [add(row, {p: rt[k][j] for j, p in enumerate(T) if j in rt[k]}, -1) for k, row in enumerate(r)] + z = [{k: (-12 if p in A else 1) * q for k, q in row.items()} for p, row in enumerate(k_matrix)] + g = [add({p: Q(1)}, row, 1) for p, row in enumerate(multiply(z, b0))] + j_matrix = [add({p: Q(1)}, row, -1) for p, row in enumerate(multiply(k_matrix, r))] + assert [g[p] for p in T] == query + + capture = [["scalar", ["add", ["C", k], ["L", 112 + p], q.numerator, q.denominator], 0] + for k, row in enumerate(query) for p, q in sorted(row.items())] + unload = [["scalar", ["add", ["C", k], ["L", 112 + p], -1, 1], 0] for k, p in enumerate(T)] + assert payload["capture"] == capture and payload["unload"] == unload + assert payload["captured_backward_word"] == capture + logger["programs"]["logger"] + assert payload["following_forward_word"] == unload + borrowed["forward"] + after, backward_bill = replay(payload["captured_backward_word"], identity, word) + expected = [row.copy() for row in identity] + for p in range(112): + expected[p] = add(expected[p], {112 + j: value for j, value in j_matrix[p].items()}, -1) + expected[112 + p] = {112 + j: value for j, value in g[p].items()} + for k in range(8): + expected[704 + k] = add(expected[704 + k], {112 + p: value for p, value in query[k].items()}, 1) + assert after == expected + alias_input = [row.copy() for row in identity] + for k, p in enumerate(T): + alias_input[704 + k][112 + p] = 1 + after, forward_bill = replay(payload["following_forward_word"], alias_input, word) + expected = [row.copy() for row in identity] + for p in range(112): + expected[112 + p] = add(expected[112 + p], j_matrix[p], 1) + assert after == expected + assert backward_bill["native_profile"] == {1: 2428, 2: 418, 3: 432, 4: 142, 5: 82} + assert backward_bill["native_mass"] == 5538 and backward_bill["real_primitives"] == 232390 + assert sum(scalar_cost(e[1]) for e in capture) == 4224 + assert sum(scalar_cost(e[1]) for e in unload) == 64 + baseline = [add({p: Q(1)}, row, -1) for p, row in zip(T, query)] + assert baseline[0][2] == Q(-1, 2) + + selected = Path(__file__).resolve().parents[1] / "sources/alias-upstream" + phase = json.loads(pinned((selected / "DATA-PHASES.json").read_bytes(), PHASES)) + template = json.loads(gzip.decompress(pinned((selected / "GLOBAL-TEMPLATE.json.gz").read_bytes(), TEMPLATE))) + plan = json.loads(pinned((selected / "PLAN.json").read_bytes(), PLAN)) + assert (plan["K"], plan["T"], plan["M"], plan["L"], plan["live"]) == (4, 16, 73, 9, 14336) + assert {(c["stage"], c["replica"]) for c in plan["provider_calls"]} == {(s, t) for s in range(9) for t in range(16)} + for c in plan["provider_calls"]: + assert c["orientation"] == ("backward" if c["stage"] % 2 else "forward") + calls = {(c["stage"], c["replica"]): c for c in template["calls"]} + assert len(calls) == 144 + for (stage, replica), c in calls.items(): + pair = max(0, (stage - 1) // 2) + assert c["pair"] == pair + assert c["orientation"] == ("backward" if stage % 2 else "forward") + assert c["window"] == {"local_axes": list(range(9)), "prefix_axes": list(range(9, 9 + 8 * stage))} + for p in T: + assert c["owners"][112 + p] == [replica * 896 + (2 * pair + 1) * 112 + p, [1, stage, p]] + schedule = template["execution_schedule"] + for window in payload["windows"]: + stage, pair = window["backward_stage"], window["pair"] + assert (stage, window["forward_stage"]) == (2 * pair + 1, 2 * pair + 2) + start = next(i for i, e in enumerate(schedule) if e.get("kind") == "local_cover_sweep" and e.get("stage") == stage) + end = next(i for i, e in enumerate(schedule) if e.get("kind") == "local_cover_sweep" and e.get("stage") == stage + 1) + between = schedule[start + 1:end] + assert between == window["intervening_events"] + if pair == 3: + assert between == [] + else: + idle, bridge = between + assert idle["kind"] == "idle_cover_sweep" and idle["pair"] == pair + 1 + assert bridge == {"kind": "bridge", "coefficient": 1, "dst": pair, "src": pair + 1} + assert payload["global_cover_correction"] == template["cover_final_correction"]["formula"] + + points = [0] + [1 << i for i in range(73)] + [(1 << i) | (1 << j) for i, j in combinations(range(73), 2)] + phase_checks, hole_checks, omitted_signs_rejected = 0, 0, 0 + for record, p in zip(payload["histories"], T): + label = word["ports"][p] + source = phase["recipes"][p] + assert source["port"] == p and source["q"] == label + # Read the chart from the pinned idle child, not the producer's chart function. + complement = source["idle_children"][0]["orthogonal_axes"][:8] + basis = [label] + complement + assert all(dot(a, b) == (i == j) for i, a in enumerate(basis) for j, b in enumerate(basis)) + assert record["hole_child_chart_columns"] == complement + [label] + eta = 0 + for b in basis: + if ((b.bit_count() - 1) // 2) % 2: + eta ^= b + assert eta == record["local_hole_translation"] + for z0 in range(512): + left = (z0.bit_count() - dot(z0, label)) % 4 + right = (sum(dot(z0, b) for b in complement) + 2 * dot(z0, eta)) % 4 + assert left == right + hole_checks += 1 + omitted_signs_rejected += left != sum(dot(z0, b) for b in complement) % 4 + assert len(record["history"]) == 9 + for stage, h in enumerate(record["history"]): + alignment = source["stage_alignment"][stage] + assert h["stage"] == stage and h["data_port"] == p and h["label"] == label + assert h["entry_translation_owner_coordinates"] == alignment["entry_Y"] + assert h["exit_translation_owner_coordinates"] == alignment["exit_Y"] + child_axes = [1 << i for i in range(9)] if stage == 8 else complement + child_sign = 0 if stage == 8 else eta + assert h["local_child_axes"] == child_axes and h["child_rank"] == len(child_axes) + assert h["local_translation_after_child"] == child_sign + assert h["owner_child_axes"] == [route(a, stage, complement) for a in child_axes] + exterior = ((1 << (9 + 8 * stage)) - 1) ^ 511 + current = (1 << (9 + 8 * stage)) - 1 + previous = (1 << (9 + 8 * (stage - 1))) - 1 if stage else 0 + for point in points: + local = route(point, stage, complement) + old = ((local & previous).bit_count() - dot(local, label)) if stage else 0 + entry = old + 2 * dot(local, alignment["entry_Y"]) + assert entry % 4 == (point & exterior).bit_count() % 4 + exit_phase = ((local & exterior).bit_count() + sum(dot(local, a) for a in child_axes) + + 2 * dot(local, child_sign) + 2 * dot(point, alignment["exit_Y"])) + target = (point & current).bit_count() - (dot(point, label) if stage < 8 else 0) + assert exit_phase % 4 == target % 4 + phase_checks += 2 + for i in range(73): + point = 1 << i + assert route(route(point, stage, complement), stage, complement) == point + assert Counter(h["child_rank"] for h in record["history"]) == {8: 8, 9: 1} + # The cover identity holds as a matrix identity on every address bit. + for stage in (1, 3, 5, 7): + for i in range(73): + point = 1 << i + assert route(route(route(point, stage, complement), stage, complement), stage + 1, complement) == route(point, stage + 1, complement) + assert hole_checks == 4096 and phase_checks == 144 * 2702 + assert omitted_signs_rejected > 0 + report = { + "status": "PASS_INDEPENDENT_CARRIED_QUERY_ALIAS", + "source_base": BASE, "pins": PINS, "archive_replayed": False, "packaged_members_verified": True, + "complete_712_column_replays": ["captured_backward_word", "following_forward_word"], + "captured_backward": backward_bill, "following_forward": forward_bill, + "arbitrary_helper_outputs": 480, "arbitrary_cache_inputs": 8, + "capture_ADDs": 424, "capture_real_primitives": 4224, + "unload_ADDs": 8, "unload_real_primitives": 64, + "four_window_real_primitives_per_replica": 17152, + "global_calls_checked": 144, "windows_checked": 4, + "signed_input_line_recipes_checked_by_address_algebra": 16, + "hole_eigenvalues_checked": hole_checks, + "global_phase_identities": 144, "points_per_identity": 2702, + "global_phase_value_comparisons": phase_checks, + "omitted_local_translation_counterexamples": omitted_signs_rejected, + "profile_per_independent_owner": {8: 8, 9: 1}, + "paid_rank_per_owner": 73, + "baseline_capture_counterexample": {"cache": 0, "input_Y_port": 2, "residual": "-1/2"}, + "native_scope": "Exact new hole and owner phase identities. Retained local child kernels, local endpoint adapters, and native input-line premises are inherited; no broad kernel replay.", + "all_tensor_sizes": "Exact base identities have scalar phase one. Tensor them with the same translations and address gathers; use each scalar coefficient once.", + "credit_scope": "Rank 584 per replica is paid. Productive rank 584 requires eight admitted independent owners and their full F73 outputs; this review does not admit their allocation.", + "excluded": ["Clean query access", "Restoration of source G", "A complete global data controller", "Final owner allocation", "Address and scalar-control invoice", "Full recursive or precision invoice", "Kappa improvement"], + } + args.out.write_text(json.dumps(report, indent=2, sort_keys=True) + "\n") + print(report["status"]) + print("all712=2 phase_identities=144 phase_values=389088 hole_eigenvalues=4096") + print("capture=4224 unload=64 windows=4 owner_rank=73") + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/checks/clean_storage.py b/research/borrowed-centre-storage/checks/clean_storage.py new file mode 100644 index 0000000000..5933f0bb6f --- /dev/null +++ b/research/borrowed-centre-storage/checks/clean_storage.py @@ -0,0 +1,242 @@ +"""Review query swaps through strictly idle old owner intervals.""" + +from collections import Counter, defaultdict +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json + + +CAMPAIGN = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" +LANE = CAMPAIGN / "lanes/history-encoding" +SELECTED = Path(__file__).resolve().parents[1] / "sources/selected" +SOURCE = CAMPAIGN / "lanes/source-domain/carried-owner-reuse" +PINS = { + "CLEAN-IDLE-STORAGE.json": "294a8f4ac078cebb2545834f307628ca1578c635ca10d6c9d309900997d86ae1", + "CLEAN-IDLE-STORAGE.md": "1015479b667d70be74121c0abd347cbd8fd72938d932b544675b2236dd18864a", + "check_clean_idle_storage.py": "cd08ffebe6ef9f70b0f20a991c1173153bc9b40ec67009f62e4b1d725a3188bb", +} +PORTS = [21, 37, 47, 76, 81, 87, 92, 110] + + +def require(value, label): + if not value: + raise ValueError(label) + + +def pinned(path, pin): + raw = path.read_bytes() + require(sha256(raw).hexdigest() == pin, "Source pin: " + str(path)) + return raw + + +def family(replica, pair, side, port): + return 896*replica + 224*pair + 112*side + port + + +def execute(program, labels): + rows = {v: [int(v == w) for w in labels] for v in labels} + for op in program: + if op[0] == "ADD": + _, target, source, coefficient = op + rows[target] = [a+coefficient*b for a, b in zip(rows[target], rows[source])] + elif op[0] == "SCALE": + _, target, coefficient = op + rows[target] = [coefficient*a for a in rows[target]] + else: + raise ValueError("Unknown swap operation") + return [rows[v] for v in labels] + + +def reject(operation, label): + try: + operation() + except ValueError: + return label + raise ValueError("Negative control did not fail: " + label) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.parent.mkdir(parents=True, exist_ok=True) + frozen = {name: pinned(SOURCE/name, pin) for name, pin in PINS.items()} + receipt = json.loads(frozen["CLEAN-IDLE-STORAGE.json"]) + member = "candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz" + raw = (SELECTED / "GLOBAL-TEMPLATE.json.gz").read_bytes() + member_hash = sha256(raw).hexdigest() + require(member_hash == "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760", "Selected template pin") + template = json.loads(gzip.decompress(raw)) + alias_path = CAMPAIGN/"lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json" + alias_pin = "e5823787516ad6abbc1e2b0a6b2c3d53422ac56bca462dcfeb6abd6b25569ac3" + alias = json.loads(pinned(alias_path, alias_pin)) + require(alias["status"] == "PASS_INDEPENDENT_CARRIED_QUERY_ALIAS" + and alias["pins"]["producer_receipt"] == receipt["source_alias_receipt_sha256"] + and alias["pins"]["payload"] == receipt["source_alias_payload_sha256"], "Exact clean selected-Y query premise") + + calls, events = template["calls"], template["execution_schedule"] + require(len(calls) == 144 and len(events) == 482, "Actual schedule size") + places = {e["time"]: pos for pos, e in enumerate(events) if e["kind"] == "local_cover_sweep"} + stages = {(c["replica"], c["stage"]): c for c in calls} + query_sources = {family(r, pair, 1, p) for r in range(16) for pair in range(4) for p in PORTS} + require(receipt["globally_excluded_query_source_families"] == sorted(query_sources), "All selected source families") + + event_uses, bridges, counts = [], {}, Counter() + for pos, event in enumerate(events): + kind, r = event["kind"], event.get("replica") + if kind == "local_cover_sweep": + call = calls[event["time"]] + used = {f for f, route in call["owners"]} + require(len(used) == 704 and max(used) < 14336, "All local data and helper owners") + counts["local_calls"] += 1 + counts["helper_occurrences"] += len(call["owners"][224:]) + elif kind == "idle_cover_sweep": + used = {family(r, event["pair"], side, p) for side in range(2) for p in range(112)} + counts["idle_events"] += 1 + elif kind == "bridge": + src, dst, gain = event["src"], event["dst"], event["coefficient"] + # The selected bridge is X_dst += gain X_src; Y_src -= gain Y_dst. + operations = [(family(r, dst, 0, p), family(r, src, 0, p), gain) for p in range(112)] + operations += [(family(r, src, 1, p), family(r, dst, 1, p), -gain) for p in range(112)] + bridges[pos] = operations + used = {f for target, source, gain in operations for f in (target, source)} + counts["bridges"] += 1 + elif kind in ("terminal", "terminal_Y_translations"): + used = set(range(896*r, 896*(r+1))) + counts[kind] += 1 + else: + require(r is None and pos >= 480, "Only final all-live events remain") + used = set(range(14336)) + event_uses.append(used) + require(counts == dict(local_calls=144, helper_occurrences=69120, idle_events=160, + bridges=144, terminal=16, terminal_Y_translations=16), "Complete original use census") + + chosen = receipt["selected"] + require([x["role"] for x in chosen] == list(range(512)), "All source rows exactly once") + donors = {x["donor_family"] for x in chosen} + require(len(donors) == 512 and donors.isdisjoint(query_sources), "All donor-source pairs are disjoint") + require({x["source_family"] for x in chosen} == query_sources, "Every selected query source") + capture, erase, expected_changes = defaultdict(list), defaultdict(list), [] + candidate_counts, operations = [], Counter() + candidate_sets = {} + for cohort, stated in enumerate(receipt["windows"]): + r, s = divmod(cohort, 4) + stage = (1, 3, 5, 7)[s] + back, front = stages[r, stage], stages[r, stage+1] + start, end = places[back["time"]]+1, places[front["time"]] + require(back["orientation"] == "backward" and front["orientation"] == "forward" + and back["pair"] == front["pair"], "Actual B-to-F window") + require((stated["window"], stated["replica"], stated["stage"], stated["capture_before_position"], stated["erase_before_position"]) + == (cohort, r, stage, start, end), "Complete post-B and pre-F cuts") + endpoint = event_uses[start-1] | event_uses[end] + busy = set().union(*event_uses[start:end]) + candidates = set(range(14336)) - endpoint - busy - query_sources + candidate_sets[cohort] = candidates + candidate_counts.append(len(candidates)) + require(len(candidates) == stated["candidate_count"] and len(endpoint) == stated["excluded_endpoint_owner_count"], "Independent candidate census") + require(stated["original_pair"] == back["pair"], "Original query pair") + local_donors = [] + for k, p in enumerate(PORTS): + row = chosen[8*cohort+k] + source, donor = row["source_family"], row["donor_family"] + require(source == family(r, back["pair"], 1, p) and donor in candidates, "Chosen source and strictly idle donor") + require(row["window"] == cohort and row["source_port"] == p, "Source row assignment") + require(row["physical_cover_map"] == "g to g" and row["physical_native_address_map"] == "identity", "Physical swap address") + local_donors.append(donor) + capture[start].append(row) + erase[end].append(row) + use_positions = [] + for pos in range(start, end): + if source not in event_uses[pos]: + continue + require(pos in bridges, "A source has an unhandled non-bridge use") + relevant = [op for op in bridges[pos] if source in op[:2]] + require(len(relevant) == 1 and relevant[0][1] == source and relevant[0][0] != source, + "The parked source is read only") + target, _, gain = relevant[0] + require(gain == -1, "Selected plus-bridge sign") + expected_changes.append(dict(position=pos, replica=r, stage=stage, port=p, + old_source_family=source, new_source_family=donor, target_family=target, + coefficient=gain, cover_and_native_address="unchanged")) + use_positions.append(pos) + require(use_positions == row["original_source_read_positions"] and len(use_positions) == int(stage != 7), "Every original source use is handled") + for name in ("capture_program", "erase_program"): + program = row[name] + require(execute(program, [source, donor]) == [[0, 1], [1, 0]], "Literal unsigned physical swap") + operations.update(op[0] for op in program) + require(len(program) == 4 and all(op[-1] in (-1, 1) for op in program), "Literal unit-scalar swap invoice") + require(local_donors == stated["donor_families"], "Cohort donor list") + require(expected_changes == receipt["bridge_read_replacements"] and len(expected_changes) == 384, "All changed read targets and coefficients") + + # Follow the physical location of every original logical owner. + location = list(range(14336)) + emitted_changes = {(r["position"], r["old_source_family"]): r for r in expected_changes} + observed_changes = set() + for pos in range(len(events)+1): + for row in erase[pos]: + a, b = row["source_family"], row["donor_family"] + require((location[a], location[b]) == (b, a), "Expected parked field locations") + location[a], location[b] = a, b + for row in capture[pos]: + a, b = row["source_family"], row["donor_family"] + require((location[a], location[b]) == (a, b), "Capture pair is available") + location[a], location[b] = b, a + if pos == len(events): + break + if pos in bridges: + for target, source, gain in bridges[pos]: + require(location[target] == target, "No bridge writes a parked field") + if location[source] != source: + key = pos, source + require(key in emitted_changes and emitted_changes[key]["new_source_family"] == location[source] + and emitted_changes[key]["target_family"] == target + and emitted_changes[key]["coefficient"] == gain, "Bridge follows the exact stored query") + observed_changes.add(key) + else: + require((pos, source) not in emitted_changes, "Unnecessary or wrong read replacement") + else: + require(all(location[f] == f for f in event_uses[pos]), "An unchanged original event touches a parked field") + require(observed_changes == set(emitted_changes) and location == list(range(14336)), "Complete symbolic schedule restores every owner location") + require(min(candidate_counts) == receipt["minimum_candidates"] == 3608 + and max(candidate_counts) == receipt["maximum_candidates"] == 10675, "Candidate range") + require(operations == {"ADD": 3072, "SCALE": 1024}, "Full literal scalar macro count") + real_cost = 8*operations["ADD"] + 2*operations["SCALE"] + require(real_cost == receipt["added_real_scalar_primitives"] == 26624, "Full swap scalar subtotal") + require(receipt["new_native_children"] == receipt["new_productive_families"] == receipt["new_physical_families"] == 0, "No new native or owner count") + + first = chosen[0] + a, b = first["source_family"], first["donor_family"] + target = 20000 + changed_read = [["ADD", target, b, -1]] + unchanged_read = [["ADD", target, a, -1]] + correct = execute(first["capture_program"]+changed_read+first["erase_program"], [a, b, target]) + require(correct == [[1, 0, 0], [0, 1, 0], [-1, 0, 1]], "Arbitrary query, donor, and bridge-target identity") + occupied = next(iter(event_uses[receipt["windows"][0]["capture_before_position"]])) + controls = [ + reject(lambda: require(execute(first["capture_program"][:-1], [a, b]) == [[0, 1], [1, 0]], "Missing swap sign"), "missing_swap_sign"), + reject(lambda: require(execute(first["capture_program"]+unchanged_read+first["erase_program"], [a, b, target]) == correct, "Parked donor leaks through old source"), "old_bridge_read"), + reject(lambda: require(occupied in candidate_sets[0], "An actual event uses this donor"), "actual_idle_event_owner"), + reject(lambda: require(len({r["donor_family"] for r in chosen[:-1]} | {b}) == 512, "Repeated donor"), "duplicate_donor"), + ] + result = dict(status="PASS_INDEPENDENT_ALL512_CLEAN_IDLE_STORAGE", producer_imported=False, producer_executed=False, + source_pins=PINS, archive_sha256="f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", archive_replayed=False, packaged_members_verified=True, template_sha256=member_hash, + alias_review_sha256=alias_pin, checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + original_event_counts=dict(counts), complete_schedule_events=482, complete_intervals=64, + selected_query_rows=512, globally_disjoint_source_donor_pairs=512, candidate_range=[3608, 10675], + exact_bridge_read_replacements=384, complete_symbolic_location_replay=True, + all_14336_owner_locations_restored=True, arbitrary_query_donor_and_target_checked=True, + physical_swaps=1024, complex_ADDs=3072, complex_sign_SCALES=1024, scalar_real_primitives_subtotal=real_cost, + added_native_children=0, added_fields=0, old_live=14336, old_physical=14826, + native_phase_scope="The exact selected-Y query is moved by an unsigned raw swap at the same physical cover class and address; no native phase or chart is changed.", + placement="Each capture is a complete sweep after B and before the next event; each erase is a complete sweep before F.", + negative_controls=controls, + excluded=["Common-frame query access", "Storage through F", "Source-code restoration", "A complete global controller", "Finite address, control, and precision invoice", "Kappa improvement"]) + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+"\n") + print(result["status"]) + print(json.dumps({k: result[k] for k in ("selected_query_rows", "exact_bridge_read_replacements", "scalar_real_primitives_subtotal")}, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/checks/masked_query.py b/research/borrowed-centre-storage/checks/masked_query.py new file mode 100644 index 0000000000..84f567ec35 --- /dev/null +++ b/research/borrowed-centre-storage/checks/masked_query.py @@ -0,0 +1,407 @@ +"""Check the input mask and the conditional F2 read with exact rows. + +Do not import a producer or replay the complete native word. +""" + +import argparse +from collections import Counter +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +ROOT = Path(__file__).resolve().parents[1] / 'sources' +LANES = ROOT / 'work/centre-encoding-campaign-20261014/lanes' +SOURCE = LANES / 'paired-package-review/upstream-followthrough-20261015' +HERE = ROOT / 'work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review' +A = (0, 7, 20, 27, 36, 46, 57, 111) +TP = (21, 37, 47, 76, 81, 87, 92, 110) +V0 = A + TP +U = tuple(p for p in range(112) if p not in V0) +OFF_A = tuple(p for p in range(112) if p not in A) +H = (1, 6, 22, 28, 33, 49, 58, 109) +GREEDY = (1, 2, 3, 4, 5, 6, 8, 12) +PINS = {} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def read(path, expected, compressed=False): + raw = path.read_bytes() + digest = sha256(raw).hexdigest() + need(digest == expected, 'Source pin: ' + str(path)) + PINS[str(path.relative_to(ROOT))] = digest + return gzip.decompress(raw) if compressed else raw + + +def add(a, b, c=Q(1)): + out = dict(a) + for key, value in b.items(): + out[key] = out.get(key, 0) + c * value + if not out[key]: + del out[key] + return out + + +def scale(row, c): + return {key: c * value for key, value in row.items() if c * value} + + +def mm(a, b): + result = [] + for row in a: + out = {} + for j, c in row.items(): + out = add(out, b[j], c) + result.append(out) + return result + + +def matadd(a, b, c=Q(1)): + return [add(x, y, c) for x, y in zip(a, b)] + + +def ident(n): + return [{i: Q(1)} for i in range(n)] + + +def parse(rows): + return [{int(p): Q(v) for p, v in row.items()} for row in rows] + + +def serial(rows): + return [{str(k): str(v) for k, v in sorted(row.items())} for row in rows] + + +def determinant(rows): + rows = [list(row) for row in rows] + result = Q(1) + for j in range(len(rows)): + k = next((k for k in range(j, len(rows)) if rows[k][j]), None) + if k is None: + return Q(0) + if j != k: + rows[j], rows[k] = rows[k], rows[j] + result = -result + pivot = rows[j][j] + result *= pivot + for k in range(j + 1, len(rows)): + factor = rows[k][j] / pivot + rows[k] = [a - factor * b for a, b in zip(rows[k], rows[j])] + return result + + +def price(events): + total = 0 + for event in events: + if event[0] != 'scalar': + continue + gate = event[1] + if gate[0] in ('clear', 'copy'): + total += 2 + continue + c = Q(*gate[-2:]) + a, b = abs(c.numerator), c.denominator + need(a and b & (b - 1) == 0, 'Dyadic scalar') + if gate[0] == 'scale': + need(a & (a - 1) == 0, 'Power-of-two SCALE') + total += 2 * (abs(a.bit_length() - b.bit_length()) + (c < 0)) + else: + need(gate[0] == 'add', 'Known scalar gate') + total += 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + return total + + +def scalar_replay(events, rows, required_frame=0): + rows = {k: dict(v) for k, v in rows.items()} + for kind, gate, frame in events: + need(kind == 'scalar' and frame == required_frame, 'Scalar gate in the required frame') + op, dst = gate[:2] + dst = tuple(dst) + if op == 'clear': + need(dst[0] == 'C', 'Only owned scratch may be cleared') + rows[dst] = {} + elif op == 'scale': + rows[dst] = scale(rows[dst], Q(*gate[-2:])) + elif op == 'add': + rows[dst] = add(rows[dst], rows[tuple(gate[2])], Q(*gate[-2:])) + else: + raise ValueError('Unexpected input gate') + return rows + + +def basis(name): + return {(name, ()): Q(1)} + + +def move(row, port): + letter = (2, port) + out = {} + for (source, path), c in row.items(): + path = path[1:] if path and path[0] == letter else (letter,) + path + key = source, path + out[key] = out.get(key, 0) + c + return {key: c for key, c in out.items() if c} + + +def query(bank, ports, matrix, routed): + out = [{} for _ in range(8)] + for p in ports: + row = move(bank[p], p) if routed else bank[p] + for k in range(8): + out[k] = add(out[k], row, matrix[k].get(p, 0)) + return out + + +def scatter(rows, ports, matrix, routed): + out = {} + for p in ports: + row = {} + for k in range(8): + row = add(row, rows[k], matrix[k].get(p, Q(0)) / 4) + out[p] = move(row, p) if routed else row + return out + + +def route_serial(rows): + return [[p, [[name, [list(letter) for letter in path], str(c)] + for (name, path), c in sorted(row.items())]] + for p, row in sorted(rows.items())] + + +def route_summary(rows): + terms = [item for row in rows.values() for item in row.items()] + return dict(rows=len(rows), terms=len(terms), + distinct_source_columns=len({key[0] for key, _ in terms}), + maximum_route_word_length=max((len(key[1]) for key, _ in terms), default=0), + row_sha256=sha256(json.dumps(route_serial(rows), separators=(',', ':')).encode()).hexdigest()) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least three GiB free') + current_dir = SOURCE / 'current-query-encoder' + unit_raw = read(current_dir / 'UNIT-QUERY-PROGRAM.json.gz', + '75e3e04f79d319f0024d9139d1dceaeeb2fb8e741f6e31a6079000c219c4eaa2', True) + need(sha256(unit_raw).hexdigest() == '9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c', 'Unit payload') + unit = json.loads(unit_raw) + current_raw = read(current_dir / 'CURRENT-QUERY-PROGRAM.json.gz', + 'b4d5cba37c696d1c31f530b3aa4f01535718972227f8b63d626125f35046d09e', True) + need(sha256(current_raw).hexdigest() == '75d7f083af8d5687b971aa0c012e201b922f5473a4080869b581b9ba8c195fea', 'Current payload') + current = json.loads(current_raw) + read(current_dir / 'UNIT-QUERY.md', '6f53e12ba5144c8eb9df5de7eb3e19e7e0c7c1e1119db3e8116a2e643662f3a7') + read(SOURCE / 'full-exit-readers-review/check_review.py', + 'e59b1fe12a62e8de01eae9dd25b415524f8e43c56806f1e05a8d1d7d00b70168') + read(HERE.parent / 'DIRTY-ECHO.md', 'a707837cd29f8cd157a35f666e27c354063a9b5e2c2e1f673f4121a3c3dc2dd2') + inherited_review = json.loads(read(LANES / 'coherent-port/current-query-review-20261015/UNIT-REVIEW.json', + '58620b41e6b6aef4250bea4c4b4e66ab4c8fd03cd8bdd1f438a61377f297e756')) + need(inherited_review['status'] == 'PASS_UNIT_QUERY_REVIEW' and + inherited_review['payload_sha256'] == sha256(unit_raw).hexdigest(), 'Exact inherited unit review') + certificate = json.loads(read(SOURCE / 'base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7', True)) + R = parse(certificate['R_rows']) + need(R == parse(current['R']), 'Actual R from both pinned sources') + need(tuple(unit['selected_A']) == A and set(unit['other_Y']) == set(OFF_A), 'Literal selected set') + I, I8 = ident(112), ident(8) + K = [{k: R[k][p] / 4 for k in range(8) if p in R[k]} for p in range(112)] + PA = [row if p in A else {} for p, row in enumerate(K)] + KO = [row if p in OFF_A else {} for p, row in enumerate(K)] + LA = [{p: c for p, c in row.items() if p in A} for row in R] + RO = [{p: c for p, c in row.items() if p in OFF_A} for row in R] + LV = [{p: c for p, c in row.items() if p in V0} for row in R] + RU = [{p: c for p, c in row.items() if p in U} for row in R] + need(mm(LA, PA) == I8 and mm(R, K) == [scale(row, 14) for row in I8], 'Actual A minor and RK') + plus, minus = matadd(I, mm(PA, RO)), matadd(I, mm(KO, LA), -1) + T = mm(minus, plus) + Ti = mm(matadd(I, mm(PA, RO), -1), matadd(I, mm(KO, LA))) + J = matadd(I, mm(K, R), -1) + correction = matadd(T, J, -1) + need(T == parse(unit['T']) and Ti == parse(unit['inverse_T']), 'Independent unit matrices') + need(correction == parse(unit['S']), 'Independent source correction') + need(mm(T, Ti) == mm(Ti, T) == I and mm(LA, T) == R, 'Unit inverse and query') + need({p for p, row in enumerate(correction) if row} == set(A), 'Correction supported only on A') + need(sum(map(len, correction)) == 424 and all(abs(c) == 1 for row in correction for c in row.values()), '424 unit source ADDs') + need(set(H) <= set(U) and set(GREEDY) <= set(U), 'Both candidate minors avoid the mask') + minor = [[R[k].get(p, Q(0)) for p in H] for k in range(8)] + gram = [[sum(minor[i][p] * minor[j][p] for p in range(8)) for j in range(8)] for i in range(8)] + need(gram == [[Q(4 * (i == j)) for j in range(8)] for i in range(8)], 'Orthogonal U minor') + det_h = determinant(minor) + det_g = determinant([[R[k].get(p, Q(0)) for p in GREEDY] for k in range(8)]) + need(det_h == -256 and det_g == -32, 'Actual minor determinants') + PU = [row if p in H else {} for p, row in enumerate(K)] + need(mm(RU, PU) == mm(R, PU) == I8, 'U section from transpose divided by four') + need(not any(mm(LV, PU)), 'Disjoint source and destination support') + N = mm(PU, LV) + B, Bi = matadd(I, N, -1), matadd(I, N) + need(not any(mm(N, N)), 'Mask square is zero') + need(mm(B, Bi) == mm(Bi, B) == I and mm(R, B) == RU, 'Mask inverse and query') + TB, TBi = mm(T, B), mm(Bi, Ti) + need(mm(TB, TBi) == mm(TBi, TB) == I and mm(LA, TB) == RU, 'Ordered target precode') + source_correction = mm(PA, matadd(RU, mm(LA, J), -1)) + source_code = matadd(J, source_correction) + need(mm(LA, source_code) == RU, 'Independent source-query completion') + need(source_code == matadd(T, mm(PA, LV), -1), 'Masked source code H_D') + need({p for p, row in enumerate(source_correction) if row} == set(A), 'Source correction stays on A') + source_census = Counter(str(abs(c)) for row in source_correction for c in row.values()) + need(source_census == Counter({'1': 384, '1/2': 32}), '384 unit and 32 half source ADDs') + need(all(c.denominator & (c.denominator - 1) == 0 for rows in (B, Bi, TB, TBi) for row in rows for c in row.values()), 'All new matrices are dyadic') + mask = [['scalar', ['add', ['L', 112 + p], ['L', 112 + q], -c.numerator, c.denominator], 0] + for p, row in enumerate(N) for q, c in sorted(row.items())] + need(len(mask) == 64 and Counter(str(-c) for row in N for c in row.values()) == Counter({'-1/2': 40, '1/2': 24}), '64 half ADDs') + need(all(e[1][1][1] - 112 in H and e[1][2][1] - 112 in V0 for e in mask), 'Read-only mask sources and disjoint targets') + start = {('L', 112 + p): {p: Q(1)} for p in range(112)} + start[('C', 0)] = {112: Q(1)} + masked = scalar_replay(mask, start) + need([masked[('L', 112 + p)] for p in range(112)] == B and masked[('C', 0)] == start[('C', 0)], 'Literal mask and arbitrary scratch') + prefix = scalar_replay(mask + unit['prefix'], start) + need([prefix[('L', 112 + p)] for p in range(112)] == TB and not prefix[('C', 0)], 'Literal prefix order and owned scratch clear') + need(unit['retained_core'] == current['retained_core'] and unit['native_normalizations'] == current['native_normalizations'], 'Unchanged core and eight positive lines') + need(len(unit['native_normalizations']) == 8 and all(e[0] == 'intrinsic_line' and e[3] == 1 for e in unit['native_normalizations']), 'Eight positive selected lines') + need(unit['program'] == unit['prefix'] + unit['retained_core'] + unit['native_normalizations'] + unit['suffix'], 'Exact unit block order') + suffix = [['scalar', ['add', ['L', 112 + p], ['L', q], c.numerator, c.denominator], 1] + for p, row in enumerate(source_correction) for q, c in sorted(row.items())] + program = mask + unit['prefix'] + unit['retained_core'] + unit['native_normalizations'] + suffix + after_core = {('L', p): {p: Q(1)} for p in range(112)} + after_core.update({('L', 112 + p): add(J[p], {112 + q: c for q, c in TB[p].items()}) for p in range(112)}) + after_suffix = scalar_replay(suffix, after_core, 1) + expected_data = [add(source_code[p], {112 + q: c for q, c in TB[p].items()}) for p in range(112)] + need([after_suffix[('L', 112 + p)] for p in range(112)] == expected_data, 'Literal suffix on all 224 data columns') + recovered_y = mm(TBi, [add(row, source_code[p], -1) for p, row in enumerate(expected_data)]) + need(recovered_y == [{112 + p: Q(1)} for p in range(112)], 'Full joint data inverse') + pure_target_correction = mm(PA, [scale(row, -1) for row in mm(LA, J)]) + need(not any(mm(LA, matadd(J, pure_target_correction))), 'D equals zero consequence') + pure_target_suffix = [['scalar', ['add', ['L', 112 + p], ['L', q], c.numerator, c.denominator], 1] + for p, row in enumerate(pure_target_correction) for q, c in sorted(row.items())] + costs = dict(mask_scalar=price(mask), retained_unit_scalar=price(unit['program']), + selected_source_correction=price(suffix), complete_scalar=price(program), + events=len(program), new_native_children=0, + new_native_wrappers=0, new_cover_maps=0, new_private_fields=0, + pure_target_consequence_scalar=price(program) - price(suffix) + price(pure_target_suffix)) + need(costs['mask_scalar'] == 640 and costs['retained_unit_scalar'] == 212826 and + costs['selected_source_correction'] == 3392 and costs['complete_scalar'] == 213466 and + costs['events'] == 26587 and costs['pure_target_consequence_scalar'] == 214234, 'Local scalar invoice') + masked_dir = HERE.parent.parent / 'masked-query' + read(masked_dir / 'emit_masked_query.py', '809509a2c41c947a4ea64fcb579b739b24fe6020e59eaa1dae3d8f38e63cfaed') + read(masked_dir / 'MASKED-QUERY.md', 'af7d8c132528da939a01bdbfa49a643697e4ef6c388642de6c8ca9f1fdc6fdd3') + actual_raw = read(masked_dir / 'masked-sum/MASKED-QUERY-PROGRAM.json.gz', + 'a4fc54c4af9d3f65e60b025ee26a144d133ae935774d73bbb48d5c7d39ef8581', True) + need(sha256(actual_raw).hexdigest() == '42a9d4bab68fe25f5592a4105b0b7cefa289187165f1d3dd0db6540afca98263', 'Final masked-sum payload') + actual = json.loads(actual_raw) + producer_receipt = json.loads(read(masked_dir / 'masked-sum/MASKED-QUERY.json', + 'b6ad9e6705aefb35e2f7ed621334151710b2a31765f4c51f76f26641394d2d0a')) + need(actual['source_payload_sha256'] == sha256(unit_raw).hexdigest() and + tuple(actual['selected_A']) == A and tuple(actual['masked_ports']) == V0 and + tuple(actual['kept_ports']) == U and tuple(actual['section_ports']) == H, 'Final packet source and port bindings') + for key, expected_matrix in (('R', R), ('section', PU), ('B', B), ('inverse_B', Bi), ('T', T), + ('source_response', source_code), ('source_query', RU), + ('target_code', TB), ('inverse_target_code', TBi)): + need(parse(actual[key]) == expected_matrix, 'Final literal matrix: ' + key) + for key, expected_events in (('mask_prefix', mask), ('retained_unit_prefix', unit['prefix']), + ('retained_core', unit['retained_core']), + ('native_normalizations', unit['native_normalizations']), + ('suffix', suffix), ('program', program)): + need(actual[key] == expected_events, 'Final literal event order: ' + key) + for key in ('physical_input', 'physical_output', 'output_frames'): + need(actual[key] == unit[key], 'Retained native interface: ' + key) + need(producer_receipt['payload_sha256'] == sha256(actual_raw).hexdigest() and + producer_receipt['program_events'] == len(program) and + producer_receipt['costs']['complete_scalar'] == price(program), 'Final receipt bindings and costs') + + x = {p: basis('x:' + str(p)) for p in range(112)} + y = {p: basis('y:' + str(p)) for p in range(112)} + c = {p: basis('c:' + str(p)) for p in range(112)} + beta = {p: basis('beta:' + str(p)) for p in V0} + h = {p: basis('h:' + str(p)) for p in A} + eh_t = scatter(query(h, A, R, False), TP, R, False) + dx, dy = dict(x), dict(y) + for p in A: + dx[p], dy[p] = add(x[p], h[p], -1), add(y[p], h[p]) + for p in TP: + dx[p], dy[p] = add(x[p], eh_t[p]), add(y[p], eh_t[p], -1) + ell = {p: c[p] if p in V0 else add(x[p], c[p]) for p in range(112)} + v = {p: beta[p] if p in V0 else y[p] for p in range(112)} + q = matadd(query(ell, U, R, True), query(v, U, R, True)) + f = matadd(query({p: add(ell[p], c[p], -1) for p in U}, U, R, False), + query(dx, V0, R, False)) + need(f == query(x, range(112), R, False), 'Old F0 query from current read sources') + selected_sum = {p: add(dx[p], dy[p]) for p in TP} + projected_f = scatter(f, OFF_A, R, False) + answer = matadd(q, query(c, U, R, True), -1) + answer = matadd(answer, query(selected_sum, TP, R, True)) + answer = matadd(answer, query(projected_f, OFF_A, R, True), -1) + decoded = scatter(answer, A, R, True) + need(all(isinstance(c, Q) for row in decoded.values() for c in row.values()), 'Exact rational routed coefficients') + original_f = query(x, range(112), R, False) + original_projection = scatter(original_f, OFF_A, R, False) + virtual_y1 = {p: add(add(x[p], y[p]), original_projection[p], -1) for p in OFF_A} + expected = scatter(query(virtual_y1, OFF_A, R, True), A, R, True) + need(decoded == expected, 'Ordered F2 read equals the exact donor erase query') + frozen_rows = json.loads(read(HERE.parent / 'FUTURE-READ-ROWS.json', + 'bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5')) + need(route_serial(decoded) == frozen_rows, 'Exact match to the frozen dirty erase rows') + need(all(name.startswith(('x:', 'y:')) for row in decoded.values() for name, _ in row), 'All beta, c, and donor columns cancel') + donors = {p: add(h[p], expected[p]) for p in A} + restored_h = {p: add(donors[p], decoded[p], -1) for p in A} + need(restored_h == h, 'All arbitrary donor baselines restored') + final_x, final_y = dict(dx), dict(dy) + final_t = scatter(query(restored_h, A, R, False), TP, R, False) + for p in A: + final_x[p], final_y[p] = add(dx[p], restored_h[p]), add(dy[p], restored_h[p], -1) + for p in TP: + final_x[p], final_y[p] = add(dx[p], final_t[p], -1), add(dy[p], final_t[p]) + need(final_x == x and final_y == y, 'All logical data restored after E correction') + witness_y = {p: basis('witness') if p == 1 else {} for p in U} + witness_query = query(witness_y, U, R, True) + witness_beta = {p: scale(row, -1) for p, row in scatter(witness_query, A, R, True).items()} + need(not any(matadd(witness_query, query(witness_beta, A, R, True))), 'Unmasked-query collision') + need(any(scatter(witness_query, A, R, True).values()), 'Collision changes the required erase query') + controls = dict( + reversed_target_precode=mm(LA, mm(B, T)) != RU, + wrong_mask_sign=mm(R, Bi) != RU, + omitted_mask=matadd(q, query(v, V0, R, True)) != q, + omitted_source_correction=mm(LA, J) != RU, + omitted_old_query_subtraction=scatter(matadd(answer, query(projected_f, OFF_A, R, True)), A, R, True) != expected, + omitted_other_pair_U=scatter(matadd(answer, query(c, U, R, True)), A, R, True) != expected, + old_unmasked_source_correction=scatter(matadd(answer, query(ell, V0, R, True)), A, R, True) != expected, + omitted_selected_Y=scatter(matadd(answer, query({p: dy[p] for p in TP}, TP, R, True), -1), A, R, True) != expected) + need(all(controls.values()), 'All negative controls reject the changed word') + receipt = dict(status='PASS_MASKED_QUERY_ALGEBRA_AND_CONDITIONAL_F2_READ', + source_pins=PINS, selected_A=list(A), selected_T=list(TP), mask_ports=list(V0), + section_ports=list(H), orthogonal_minor_determinant=str(det_h), + greedy_minor=list(GREEDY), greedy_minor_determinant=str(det_g), + mask_coefficient_census={'-1/2': 40, '1/2': 24}, + source_correction_absolute_coefficient_census=dict(source_census), + selected_query='R_U(x+y)', + final_masked_sum_payload_sha256=sha256(actual_raw).hexdigest(), + final_literal_word_compared=True, + unmasked_query_collision={'changed_original_Y_port': 1, 'compensation_ports': list(A), + 'all_named_FULL_observations_unchanged': True, 'erase_query_changed': True}, + input_prefix_sha256=sha256(json.dumps(mask, separators=(',', ':')).encode()).hexdigest(), + target_precode_sha256=sha256(json.dumps(serial(TB), separators=(',', ':')).encode()).hexdigest(), + target_inverse_sha256=sha256(json.dumps(serial(TBi), separators=(',', ':')).encode()).hexdigest(), + source_code_sha256=sha256(json.dumps(serial(source_code), separators=(',', ':')).encode()).hexdigest(), + new_prefix_and_suffix_all_224_data_columns=True, + costs=costs, controls=controls, conditional_F2_independent_columns=360, + conditional_F2_erase=route_summary(decoded), + full_712_event_replay=False, native_kernel_replay=False, global_482_schedule_replay=False, + later_B3_admission=False, mixed_target_code_retirement=False, + inherited_contract='The accepted UNIT-QUERY core gives X=x and Y=T(x+y), with the stated mixed native frames and complete arbitrary-helper endpoint map.', + conditional_entry='After selected-port swaps, l_V0=c_V0, l_U=x_U+c_U, v_U=y_U, and v_V0 is arbitrary; the stated current read fields have common F_U2.', + limits=['The algebraic inverse does not admit cross-frame scalar gates.', + 'The old full-W all-output dirt receipt does not transfer to this selected-port substitution.', + 'No new global output map, recursive hosting, precision bound, supplier, or kappa claim.']) + args.out.write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status']) + print(json.dumps(dict(costs=costs, conditional_F2_erase=receipt['conditional_F2_erase']), sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/checks/relative_storage.py b/research/borrowed-centre-storage/checks/relative_storage.py new file mode 100644 index 0000000000..c00b10619c --- /dev/null +++ b/research/borrowed-centre-storage/checks/relative_storage.py @@ -0,0 +1,304 @@ +"""Review the selected dirty-cache paths from the original owner records.""" + +from collections import Counter, defaultdict +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import json + + +CAMPAIGN = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" +LANE = CAMPAIGN / "lanes/history-encoding" +SELECTED = Path(__file__).resolve().parents[1] / "sources/selected" +SOURCE = CAMPAIGN / "lanes/source-domain/carried-owner-reuse" +PORTS = [21, 37, 47, 76, 81, 87, 92, 110] +PINS = { + "RELATIVE-REUSE.json": "1d6d6c598022c7e83920a00575aeb5b3866b1ed1327718d389f659b057659acb", + "RELATIVE-REUSE.md": "4ecbde9c53fd9888e5d0f2c90ef38dc006ff48ff7f9efb6b8339e87b03c6c3aa", + "check_relative_reuse.py": "723d2d11abadcbfb569b1291fd3dc01a385e57ceecfa26124fdadec93726f204", +} +MEMBERS = { + "template": ("candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz", "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760"), + "word": ("candidate/strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz", "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219"), + "phases": ("candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json", "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa"), +} +DEPENDENCIES = { + "lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json": "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2", + "lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json": "e5823787516ad6abbc1e2b0a6b2c3d53422ac56bca462dcfeb6abd6b25569ac3", + "root/BORROWED-CENTRES-REVIEW.json": "04cffe488bce2b3f8c58a3e3428921052375bdcf1e0206c20de8e568a63d9b1f", +} + + +def require(value, message): + if not value: + raise ValueError(message) + + +def pinned(path, pin): + raw = path.read_bytes() + require(sha256(raw).hexdigest() == pin, "Source pin: " + str(path)) + return raw + + +def family(replica, pair, side, port): + return 896 * replica + 224 * pair + 112 * side + port + + +def mask(indices): + require(len(indices) == len(set(indices)), "Repeated native axis") + return sum(1 << i for i in indices) + + +def apply(columns, value): + result = 0 + for i, column in enumerate(columns): + if value >> i & 1: + result ^= column + return result + + +def phase_polynomial(vectors, translation=0): + # Parity(v.z) is sum(v_i z_i)-2 sum(v_i v_j z_i z_j) modulo four. + linear = [2 * ((translation >> i) & 1) for i in range(73)] + quadratic = [[0] * i for i in range(73)] + for vector in vectors: + support = [i for i in range(73) if vector >> i & 1] + for i in support: + linear[i] = (linear[i] + 1) % 4 + for j in support: + if j < i: + quadratic[i][j] = (quadratic[i][j] - 2) % 4 + return linear, quadratic + + +def reject(operation, label): + try: + operation() + except ValueError: + return label + raise ValueError("Negative control did not fail: " + label) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.parent.mkdir(parents=True, exist_ok=True) + sources = {name: pinned(SOURCE / name, pin) for name, pin in PINS.items()} + receipt = json.loads(sources["RELATIVE-REUSE.json"]) + premises = {name: json.loads(pinned(CAMPAIGN / name, pin)) for name, pin in DEPENDENCIES.items()} + alias = premises["lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json"] + alias_review = premises["lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json"] + helper_review = premises["root/BORROWED-CENTRES-REVIEW.json"] + require(alias_review["status"] == "PASS_INDEPENDENT_CARRIED_QUERY_ALIAS", "Exact alias review") + require(alias_review["pins"]["producer_receipt"] == DEPENDENCIES["lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json"], "Alias review pin") + require(all(v["arbitrary_helpers_restored"] == 480 and v["input_columns"] == 712 + for v in helper_review["checks"].values()), "Arbitrary-helper output independence premise") + original = {} + for key, (name, pin) in MEMBERS.items(): + raw = pinned(SELECTED / name.rsplit("/", 1)[-1], pin) + original[key] = json.loads(gzip.decompress(raw) if name.endswith(".gz") else raw) + template, word, recipes = original["template"], original["word"], original["phases"]["recipes"] + require(template["cover"] == "all matrices d in O(73,2), in lexicographic row order", "Full orthogonal cover") + require(template["live"] == 14336 and template["physical"] == 14826, "Original stocks") + selected = receipt["selected"] + require([row["role"] for row in selected] == list(range(512)), "All query roles exactly once") + owners = {row["owner_family"] for row in selected} + require(len(owners) == 512 and max(owners) < 14336, "Distinct old live owners") + + bases, pending = {}, {} + for p, recipe in enumerate(recipes): + basis = [recipe["q"]] + recipe["idle_children"][0]["orthogonal_axes"][:8] + [1 << i for i in range(9, 73)] + require(len(basis) == 73 and all((a & b).bit_count() % 2 == int(i == j) + for i, a in enumerate(basis) for j, b in enumerate(basis)), "Actual orthonormal owner chart") + bases[p] = basis + for c, child in enumerate(recipe["idle_children"]): + pending[p, c] = [basis.index(v) for v in child["orthogonal_axes"]] + require(len(pending[p, c]) == child["rank"], "Pending child rank") + + calls, events = template["calls"], template["execution_schedule"] + require(len(calls) == 144 and len(events) == 482, "Complete selected schedule") + places = {e["time"]: pos for pos, e in enumerate(events) if e["kind"] == "local_cover_sweep"} + stages = {(c["replica"], c["stage"]): c for c in calls} + child_places, child_roles = {}, {} + for pos, event in enumerate(events): + if event["kind"] == "idle_cover_sweep": + for side, child in enumerate(event["child_indices"]): + role = event["pair"], side + require(child not in child_roles or child_roles[child] == role, "Stable idle child role") + child_roles[child] = role + child_places[event["replica"], child] = pos + + jobs, scalar_uses = defaultdict(list), defaultdict(list) + used_slots = set() + for index, slot in enumerate(template["hosting"]["pooled_slots"]): + p, c, width = slot["port"], slot["child"], slot["width"] + f, time, reg = slot["family"], slot["time"], 224 + slot["helper"] + axes = pending[p, c][slot["offset"]:slot["offset"]+width] + spectators = [i for i in range(73) if i not in axes][:9-width] + route = [3, c, slot["offset"]] if width == 9 else [4, c, slot["offset"], width, spectators] + require(f == family(slot["owner_replica"], *child_roles[c], p), "Actual helper family") + require(calls[time]["owners"][reg] == [f, route], "Literal helper route and spectator list") + require(width == len(axes) == len(word["frames"][word["final"][reg]]) - len(word["frames"][word["start"][reg]]), "Complete helper native width") + require((time, reg) not in used_slots, "Repeated helper slot") + used_slots.add((time, reg)) + if f in owners: + jobs[f].append(dict(kind="helper", index=index, position=places[time], axes=axes, translation=0)) + require(used_slots == {(t, r) for t in range(144) for r in range(224, 704)}, "Every original helper slot") + for index, suffix in enumerate(template["idle_children"]): + f, p, c = suffix["family"], suffix["port"], suffix["child"] + require(f == family(suffix["replica"], *child_roles[c], p), "Actual idle family") + axes = pending[p, c][suffix["pending_offset"]:] + require(len(axes) == suffix["rank"], "Complete idle remainder") + if f in owners: + jobs[f].append(dict(kind="suffix", index=index, position=child_places[suffix["replica"], c], axes=axes, translation=0)) + for pos, event in enumerate(events): + r, kind = event.get("replica"), event["kind"] + if kind == "local_cover_sweep": + call = calls[event["time"]] + require(call["time"] == event["time"] and len({a[0] for a in call["owners"]}) == 704, "Local distinct-owner contract") + for side in range(2): + for p in range(112): + f = family(r, call["pair"], side, p) + require(call["owners"][112*side+p] == [f, [1, call["stage"], p]], "Named data route") + if f in owners: + scalar_uses[f].append(pos) + jobs[f].append(dict(kind="data", index=event["time"], position=pos, + axes=list(range(8*call["stage"]+1, 8*call["stage"]+9)), + translation=recipes[p]["idle_children"][0]["translation_after"] if call["stage"] == 0 else 0)) + elif kind == "bridge": + for pair in (event["src"], event["dst"]): + for side in range(2): + for p in range(112): + f = family(r, pair, side, p) + if f in owners: + scalar_uses[f].append(pos) + elif kind in ("terminal", "terminal_Y_translations"): + for f in owners: + if f // 896 == r: + scalar_uses[f].append(pos) + elif kind == "idle_cover_sweep": + for c in event["child_indices"]: + for p in range(112): + f = family(r, *child_roles[c], p) + if f in owners: + jobs[f].append(dict(kind="idle_translation", index=c, position=pos, axes=[], + translation=recipes[p]["idle_children"][c]["translation_after"])) + + # Reconstruct each complete donor history without the producer's scan. + for f in owners: + row = sorted(jobs[f], key=lambda v: (v["position"], v["kind"] == "idle_translation")) + state, delta = int((f // 112) % 2 == 0), 0 + for item in row: + advance = mask(item["axes"]) + require(state & advance == 0, "An owner axis is already present") + state |= advance + delta ^= item["translation"] + item["after_axis_mask"] = state + require(state == (1 << 73)-1-int((f // 112) % 2 == 1), "Complete donor endpoint frame") + require(delta == recipes[f % 112]["idle_children"][0]["translation_after"], "Complete donor endpoint phase") + jobs[f] = row + + profile, sides, unequal, polynomial_checks = Counter(), Counter(), 0, 0 + path_lengths, source_window_events = Counter(), 0 + for row in selected: + c, k = divmod(row["role"], 8) + r, stage = c // 4, (1, 3, 5, 7)[c % 4] + begin, end = (places[stages[r, s]["time"]] for s in (stage, stage+1)) + f = row["owner_family"] + require((row["cohort"], row["replica"], row["stage"], row["start"], row["end"], row["source_port"]) + == (c, r, stage, begin, end, PORTS[k]), "Actual capture and erase boundaries") + require(not any(begin <= p < end for p in scalar_uses[f]), "A donor has a scalar use while it holds a query") + path = [item for item in jobs[f] if begin <= item["position"] < end] + require(path == row["jobs"] and all(item["kind"] == "helper" for item in path), "All and only complete intervening helper jobs") + indices = sorted(i for item in path for i in item["axes"]) + require(len(indices) == len(set(indices)) == 8 and indices == row["target_axis_indices"], "Exactly eight new interval axes") + actual_vectors = [bases[f % 112][i] for item in path for i in item["axes"]] + require([bases[f % 112][i] for i in indices] == row["target_axes"], "Native axes from actual port chart") + prior = [item for item in jobs[f] if item["position"] < begin] + entry = prior[-1]["after_axis_mask"] if prior else int((f // 112) % 2 == 0) + require(entry == row["entry_axis_mask"] and entry.bit_count() == row["owner_entry_rank"], "Actual donor entry rank") + require(row["query_entry_rank"] == 8*stage, "Query entry rank") + unequal += entry.bit_count() != 8*stage + side = "Y" if (f // 112) % 2 else "X" + require((row["owner_replica"], row["owner_pair"], row["owner_side"], row["owner_port"]) + == (f // 896, (f % 896) // 224, side, f % 112), "Owner identity") + sides[side] += 1 + path_lengths[len(path)] += 1 + profile.update(len(item["axes"]) for item in path) + U, inv = row["U_columns"], row["U_inverse_columns"] + require(len(U) == len(inv) == 73, "Full cover map dimensions") + require(all(apply(U, inv[i]) == apply(inv, U[i]) == 1 << i for i in range(73)), "Both inverse orders") + require(all((a & b).bit_count() % 2 == int(i == j) + for i, a in enumerate(U) for j, b in enumerate(U)), "Cover map is orthogonal") + fresh = list(range(8*stage+1, 8*stage+9)) + require(fresh == row["source_fresh_axis_indices"], "Exact source fresh block") + require(all(row[key] == 0 for key in ("interval_translation", "capture_translation", "erase_translation_owner_coordinates")), "Literal zero translation") + direct = phase_polynomial(actual_vectors) + mapped = phase_polynomial([U[i] for i in fresh]) + require(direct == mapped, "All coefficients of the full 73-variable Z4 phase") + polynomial_checks += 1 + 73 + 73*72//2 + + # Check the available selected-Y alias in the actual asynchronous window. + source_pair = stages[r, stage]["pair"] + source_y = {family(r, source_pair, 1, p) for p in range(112)} + require(f not in source_y, "Capture does not change its source") + if k == 0: + for event in events[begin+1:end]: + source_window_events += 1 + if event["kind"] == "local_cover_sweep": + require(not source_y & {o[0] for o in calls[event["time"]]["owners"]}, "An intervening call touches source Y") + elif event["kind"] == "idle_cover_sweep" and event["replica"] == r: + require(event["pair"] != source_pair, "An intervening idle sweep touches source Y") + elif event["kind"] == "bridge" and event["replica"] == r: + require(event["src"] != source_pair, "An intervening bridge writes source Y") + elif event["kind"] in ("terminal", "terminal_Y_translations"): + require(event["replica"] != r, "An intervening terminal touches source Y") + + require(dict(profile) == {8: 479, 4: 66} and sum(r*n for r, n in profile.items()) == 4096, "Already-paid native profile") + require(dict(sides) == {"X": 348, "Y": 164} and unequal == 499, "Representation count") + require(receipt["selected_existing_native_profile"] == {str(k): v for k, v in sorted(profile.items())}, "Receipt profile") + require(receipt["added_native_children"] == receipt["added_productive_families"] == receipt["added_physical_families"] == 0, "No new native or field claim") + require(alias["capture"]["ADDs"] == alias_review["capture_ADDs"] == 424 + and alias["capture"]["real_primitives"] == alias_review["capture_real_primitives"] == 4224, + "Normalized source query bill") + require(alias["unload"]["ADDs"] == 8 and alias["unload"]["real_primitives"] == 64, "Erase bill") + require(receipt["capture_ADDs"] == 64*424 and receipt["erase_ADDs"] == 64*8 + and receipt["added_scalar_real_primitives"] == 64*(4224+64), "Complete scalar subtotal") + + first = selected[0] + vectors = first["target_axes"] + wrong_phase = phase_polynomial(vectors, vectors[0]) + wrong_order = phase_polynomial([first["U_inverse_columns"][i] for i in first["source_fresh_axis_indices"]]) + two_jobs = next(row for row in selected if len(row["jobs"]) == 2) + controls = [ + reject(lambda: require(wrong_phase == phase_polynomial(vectors), "Changed native translation"), "extra_translation"), + reject(lambda: require(wrong_order == phase_polynomial(vectors), "Wrong cover conjugation order"), "inverse_cover_order"), + reject(lambda: require(sum(len(j["axes"]) for j in two_jobs["jobs"][:-1]) == 8, "Missing complete helper"), "omitted_rank4_job"), + reject(lambda: require(len({row["owner_family"] for row in selected[:-1]} | {first["owner_family"]}) == 512, "Duplicate old owner"), "duplicate_owner"), + ] + result = dict(status="PASS_INDEPENDENT_ALL512_RELATIVE_DIRTY_CACHE", producer_imported=False, producer_executed=False, + producer_pins=PINS, dependency_pins=DEPENDENCIES, source_members={k: dict(path=p, sha256=h) for k, (p, h) in MEMBERS.items()}, + archive_sha256="f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", archive_replayed=False, packaged_members_verified=True, checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + actual_schedule_events=len(events), original_helper_slots_checked=len(used_slots), original_idle_suffixes_checked=len(template["idle_children"]), + complete_donor_histories=512, selected_paths=512, complete_eight_row_cohorts=64, globally_distinct_old_owners=512, + selected_owner_sides=dict(sides), unequal_entry_ranks=unequal, selected_path_lengths=dict(path_lengths), + selected_existing_native_profile=dict(sorted(profile.items())), selected_existing_native_mass=4096, + full_73_variable_phase_polynomials=512, exact_phase_coefficients=polynomial_checks, scalar_phase_one=True, + source_alias_window_event_incidences=source_window_events, helper_and_source_alias_reviews_bound=True, + required_placement="All cover classes capture before each B core sweep; all erase before each F core sweep.", + capture_ADDs=27136, erase_ADDs=512, scalar_real_primitives_subtotal=274432, + old_live=14336, old_physical=14826, additional_native_children=0, additional_fields=0, + arbitrary_background_lemma_reviewed=True, all_tensor_multiplicities=True, negative_controls=controls, + not_replayed=["The original complete local scalar programs and native helper normalizers; their reviewed arbitrary-input contracts are retained.", + "Candidate enumeration and matching search; the full 512-row distinct-owner witness is checked directly."], + excluded=["Clean query access", "Local C alias", "A dirty-cache read protocol", "Restoration of source G", "A full data controller", "Finite address, control, precision, and recursive invoice", "Kappa improvement"]) + output = args.out + output.write_text(json.dumps(result, indent=2, sort_keys=True)+"\n") + print(result["status"]) + print(json.dumps({k: result[k] for k in ("selected_paths", "selected_existing_native_profile", "exact_phase_coefficients", "scalar_real_primitives_subtotal")}, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/checks/stream_cleanup.py b/research/borrowed-centre-storage/checks/stream_cleanup.py new file mode 100644 index 0000000000..19599b4b9d --- /dev/null +++ b/research/borrowed-centre-storage/checks/stream_cleanup.py @@ -0,0 +1,474 @@ +"""Check the owner-local cleanup without a producer import. + +Use exact rows, actual registered views, and a separate storage audit. +""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from functools import lru_cache +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +ROOT = Path(__file__).resolve().parents[1] / 'sources' +LANES = ROOT / 'work/centre-encoding-campaign-20261014/lanes' +HERE = ROOT / 'work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review' +PACK = HERE.parent.parent / 'masked-query' +A = (0, 7, 20, 27, 36, 46, 57, 111) +T = (21, 37, 47, 76, 81, 87, 92, 110) +V = A + T +U = tuple(p for p in range(112) if p not in V) +OFF = U + T +AXES = tuple(1 << i for i in range(73)) +FULL = tuple((v, 1) for v in AXES[:25]) +PINS = {} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def encoded(value): + return json.dumps(value, sort_keys=True, separators=(',', ':')).encode() + + +def read(path, expected, compressed=False): + raw = path.read_bytes() + digest = sha256(raw).hexdigest() + need(digest == expected, 'Source pin: ' + str(path)) + PINS[str(path.relative_to(ROOT))] = digest + return gzip.decompress(raw) if compressed else raw + + +def add(a, b, c=Q(1)): + out = dict(a) + for key, value in b.items(): + out[key] = out.get(key, 0) + c * value + if not out[key]: + del out[key] + return out + + +def scale(row, c): + return {key: c * value for key, value in row.items() if c * value} + + +def move(row, port): + letter = (2, port) + out = {} + for (name, path), c in row.items(): + path = path[1:] if path and path[0] == letter else (letter,) + path + key = name, path + out[key] = out.get(key, 0) + c + return {key: c for key, c in out.items() if c} + + +def bank(name): + return {p: {(name + str(p), ()): Q(1)} for p in range(112)} + + +def query(rows, ports, R, routed=False): + out = [{} for _ in range(8)] + for p in ports: + value = move(rows[p], p) if routed else rows[p] + for k in range(8): + if R[k][p]: + out[k] = add(out[k], value, R[k][p]) + return out + + +def scatter(values, ports, R, routed=False): + out = {} + for p in ports: + row = {} + for k in range(8): + if R[k][p]: + row = add(row, values[k], R[k][p] / 4) + out[p] = move(row, p) if routed else row + return out + + +def routed_matrix(matrix, rows): + gathered = {p: move(rows[p], p) for p in range(112)} + out = {} + for p, coefficients in enumerate(matrix): + row = {} + for q, c in coefficients.items(): + row = add(row, gathered[q], c) + out[p] = move(row, p) + return out + + +def apply(columns, vector): + answer = 0 + while vector: + bit = vector & -vector + answer ^= columns[bit.bit_length() - 1] + vector ^= bit + return answer + + +@lru_cache(None) +def phase(terms): + linear, pairs = [0] * 73, set() + for vector, coefficient in terms: + support = [i for i in range(73) if vector >> i & 1] + for i in support: + linear[i] = (linear[i] + coefficient) % 4 + if coefficient % 2: + for at, i in enumerate(support): + for j in support[at + 1:]: + if (i, j) in pairs: + pairs.remove((i, j)) + else: + pairs.add((i, j)) + return tuple(linear), frozenset(pairs) + + +def transport(terms, g, shift): + return tuple((apply(g, v), c) for v, c in terms) + ((shift, 2),) + + +def actual_routes(certificate): + routes = {} + for p in range(112): + entries = [e for e in certificate['programs']['F_2'] if e[0] == 'cover_map' and e[1] == ['L', p]] + need(len(entries) >= 2, 'Source has the complete stage-2 X route') + record = certificate['map_registry'][entries[0][2]] + g = tuple(record['owner_right_matrix_columns']) + shift = record['payload_translation_at_identity_owner'] + need(len(g) == 73 and tuple(apply(g, v) for v in g) == AXES, 'Actual owner involution') + need(all((g[i] & g[j]).bit_count() % 2 == (i == j) for i in range(73) for j in range(73)), 'Actual owner orthogonality') + need(phase(transport(FULL, g, shift)) == phase(FULL), 'Registered full-frame phase') + back = apply(g, shift) + need(phase(transport(FULL, g, back)) == phase(FULL), 'Inverse full-frame phase') + need(apply(g, shift) ^ back == 0 and apply(g, back) ^ shift == 0, 'Both affine inverse translations') + need(all(v < 512 for v in g[17:25]), 'Actual local chart') + normals = [q for q in range(1, 512) if all((q & v).bit_count() % 2 == 0 for v in g[17:25])] + need(len(normals) == 1 and normals[0].bit_count() % 2 == 1, 'Actual odd port normal') + q = normals[0] + need(apply(g, q) == q, 'Normal fixed by owner route') + routes[p] = dict(g=g, shift=shift, inverse_shift=back, q=q, registry=entries[0][2]) + return routes + + +def gate(dst, src, coefficient=1): + return dict(op='add', dst=dst, src=src, c=str(coefficient)) + + +def reverse(events): + answer = [] + for e in reversed(events): + e = dict(e) + e['c'] = str(-Q(e['c']) if e['op'] == 'add' else 1 / Q(e['c'])) + answer.append(e) + return answer + + +def reconstruct(R, routes): + prepare = [gate(f'X0:{p}', f'X1:{p}', -1) for p in U] + for p in V: + a, b = f'X0:{p}', f'X1:{p}' + prepare += [gate(a, b), gate(b, a, -1), gate(a, b), dict(op='scale', field=b, c='-1')] + sums = [gate(f'Y1:{p}', f'{b}:{p}') for p in T for b in ('X0', 'X1')] + + def alias(sign): + events = [dict(op='private_begin')] + for k in range(8): + events += [dict(op='clear', field='C', frame='current')] + events += [gate('C', f'X0:{p}', R[k][p]) for p in range(112) if R[k][p]] + events += [gate(f'X1:{p}', 'C', sign * R[k][p] / 4) for p in OFF if R[k][p]] + return events + [dict(op='clear', field='C', frame='identity'), dict(op='private_end')] + + fields = [(f'R{p}', p) for p in A] + [(f'X1:{p}', p) for p in OFF] + [(f'Y1:{p}', p) for p in T] + + def views(items, inverse=False): + return [dict(op='map', field=name, letter=[2, p], g=list(routes[p]['g']), + shift=routes[p]['inverse_shift' if inverse else 'shift']) for name, p in items] + + response = [] + for b, ports, sign in (('X1', OFF, 1), ('Y1', T, -1)): + for a in A: + for p in ports: + coefficient = sum(R[k][a] * R[k][p] for k in range(8)) / 4 + if coefficient: + response.append(gate(f'R{a}', f'{b}:{p}', sign * coefficient)) + correction = [] + for a in A: + correction += [gate(f'X1:{a}', f'R{a}'), gate(f'Y1:{a}', f'R{a}', -1)] + for p in T: + for a in A: + coefficient = sum(R[k][p] * R[k][a] for k in range(8)) / 4 + if coefficient: + correction += [gate(f'X1:{p}', f'R{a}', -coefficient), gate(f'Y1:{p}', f'R{a}', coefficient)] + content = [ + ('query_subtraction', 'owner_sweep', [gate(f'R{p}', f'Y0:{p}', -1) for p in A]), + ('source_prepare', 'owner_sweep', prepare), + ('selected_sum_prepare', 'owner_sweep', sums), + ('source_alias', 'owner_sweep', alias(1)), + ('source_gather', 'family_sweep', views(fields)), + ('routed_response', 'owner_sweep', response), + ('source_return', 'family_sweep', views(reversed(fields), True)), + ('source_alias_inverse', 'owner_sweep', alias(-1)), + ('selected_sum_inverse', 'owner_sweep', reverse(sums)), + ('source_prepare_inverse', 'owner_sweep', reverse(prepare)), + ('selected_error_correction', 'owner_sweep', correction)] + return [dict(name=name, scope=scope, events=events) for name, scope, events in content] + + +def invoice(events): + counts, coefficients, scalar = Counter(), Counter(), 0 + for e in events: + op = e['op'] + counts[op] += 1 + if op == 'clear': + scalar += 2 + elif op in ('add', 'scale'): + c = Q(e['c']) + n, d = abs(c.numerator), c.denominator + need(n and not n & (n - 1) and not d & (d - 1), 'Dyadic-unit coefficient') + coefficients[op + ':' + str(c)] += 1 + scalar += (2 * (2 + n.bit_length() + n.bit_count() + d.bit_length() - 1) + if op == 'add' else 2 * (abs(n.bit_length() - d.bit_length()) + (c < 0))) + return dict(scalar=scalar, cover_maps=counts['map'], native_mass=0, native_profile={}, + native_wrappers=0, events=dict(counts), coefficients=dict(coefficients)) + + +def storage_audit(parts): + private_bodies, owner_blocks, family_blocks = 0, 0, 0 + real = {f'{b}:{p}' for b in ('X0', 'Y0', 'X1', 'Y1') for p in range(112)} | {f'R{p}' for p in A} + for part in parts: + private, initialized, zero_at_identity = False, False, False + if part['scope'] == 'family_sweep': + family_blocks += 1 + need(all(e['op'] == 'map' and e['field'] in real for e in part['events']), 'A map needs a complete real family') + continue + need(part['scope'] == 'owner_sweep', 'Known complete-sweep extent') + owner_blocks += 1 + for e in part['events']: + op = e['op'] + need(op in ('add', 'scale', 'clear', 'private_begin', 'private_end'), 'No map or native job inside an owner body') + if op == 'private_begin': + need(not private, 'No nested private lifetime') + private, initialized, zero_at_identity = True, False, False + private_bodies += 1 + elif op == 'private_end': + need(private and zero_at_identity, 'Scratch must end at zero and identity inside its owner') + private = False + else: + names = [e[k] for k in ('field', 'dst', 'src') if k in e] + need(all(f in real or f == 'C' for f in names), 'Known real field or the one local scratch') + if op == 'clear': + need(e['field'] == 'C' and private, 'Only the current owned scratch may be cleared') + initialized, zero_at_identity = True, e['frame'] == 'identity' + elif 'C' in names: + need(private and initialized, 'Scratch must be initialized inside its current owner') + if e.get('dst', e.get('field')) == 'C': + zero_at_identity = False + need(not private, 'No scratch lifetime crosses a complete-sweep boundary') + return dict(owner_sweeps=owner_blocks, family_sweeps=family_blocks, private_owner_bodies=private_bodies, + peak_owned_scratch=1, private_cover_maps=0, destructive_real_field_clears=0) + + +def row_encoding(rows): + return {field: [[name, list(path), str(c)] for (name, path), c in sorted(row.items())] + for field, row in sorted(rows.items())} + + +def replay(parts, initial, frames, routes, checkpoints=None): + storage_audit(parts) + rows, frames = deepcopy(initial), deepcopy(frames) + phase_checks, maps, boundary_states = 0, 0, [] + for part in parts: + for e in part['events']: + op = e['op'] + if op == 'add': + dst, src = e['dst'], e['src'] + need(phase(frames[dst]) == phase(frames[src]), 'Exact native phase at every ADD') + rows[dst] = add(rows[dst], rows[src], Q(e['c'])) + phase_checks += 1 + elif op == 'scale': + rows[e['field']] = scale(rows[e['field']], Q(e['c'])) + elif op == 'clear': + rows['C'] = {} + frames['C'] = FULL if e['frame'] == 'current' else () + elif op == 'map': + f, (stage, p) = e['field'], e['letter'] + need(stage == 2 and tuple(e['g']) == routes[p]['g'], 'Exact right-owner route') + need(e['shift'] in (routes[p]['shift'], routes[p]['inverse_shift']), 'Exact registered view translation') + need(phase(frames[f]) == phase(FULL), 'Every gathered real family is FULL') + frames[f] = transport(frames[f], tuple(e['g']), e['shift']) + need(phase(frames[f]) == phase(FULL), 'Every physical view preserves FULL phase') + rows[f] = move(rows[f], p) + maps += 1 + elif op == 'private_end': + need(not rows['C'] and phase(frames['C']) == phase(()), 'Exact zero/I scratch at owner exit') + if checkpoints and part['name'] in checkpoints: + for field, expected in checkpoints[part['name']].items(): + need(rows[field] == expected, 'Intermediate identity: ' + part['name'] + ':' + field) + boundary_states.append(dict(part=part['name'], C_zero=not rows['C'], C_identity=phase(frames['C']) == phase(()))) + return rows, frames, dict(add_phase_checks=phase_checks, physical_views=maps, boundaries=boundary_states) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least three GiB free') + manifest = json.loads(read(PACK / 'STREAM-CLEANUP-MANIFEST.json', + '1ce42dd7732c39b4f6f9dec1329e7e3145751e8827e7020fe6d5ee04c7e67e03')) + files = {name: read(PACK / name, pin) for name, pin in manifest['files'].items()} + packet = json.loads(files['stream-cleanup/STREAM-CLEANUP-WORD.json']) + producer = json.loads(files['stream-cleanup/STREAM-CLEANUP.json']) + for path, digest in packet['source_pins'].items(): + read(LANES / path, digest) + accepted = json.loads(read(HERE.parent / 'masked-query-review/REVIEW.json', + '04dfde7cd7182f711bca4d75f0a258f447131dd65b779bef7095e4729d542488')) + mask_raw = gzip.decompress((PACK / 'masked-sum/MASKED-QUERY-PROGRAM.json.gz').read_bytes()) + need(sha256(mask_raw).hexdigest() == accepted['final_masked_sum_payload_sha256'], 'Accepted masked-query payload') + mask = json.loads(mask_raw) + certificate = json.loads(read(LANES / 'paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7', True)) + R = [[Q(row.get(str(p), 0)) for p in range(112)] for row in certificate['R_rows']] + need([list(A), list(T), list(U)] == [certificate[k + '_ports'] for k in ('A', 'T', 'U')], 'Actual source port partition') + need(R == [[Q(row.get(str(p), 0)) for p in range(112)] for row in mask['R']], 'Actual source matrix') + routes = actual_routes(certificate) + parts = reconstruct(R, routes) + need(parts == packet['parts'], 'Every independently reconstructed block and scope') + word = [e for part in parts for e in part['events']] + need(word == packet['word'], 'Every literal event in order') + storage = storage_audit(parts) + need(storage['owner_sweeps'] == 9 and storage['family_sweeps'] == 2 and storage['private_owner_bodies'] == 2, 'Exact sweep extents') + + x, y, c, beta = (bank(n) for n in ('x:', 'y:', 'c:', 'beta:')) + h = {p: {('h:' + str(p), ()): Q(1)} for p in A} + error = {p: {} for p in range(112)} + error.update({p: scale(h[p], -1) for p in A}) + error.update(scatter(query(h, A, R), T, R)) + dx = {p: add(x[p], error[p]) for p in range(112)} + dy = {p: add(y[p], error[p], -1) for p in range(112)} + ell = {p: c[p] if p in V else add(x[p], c[p]) for p in range(112)} + v = {p: beta[p] if p in V else y[p] for p in range(112)} + H, TB = ([{int(q): Q(value) for q, value in row.items()} for row in mask[key]] + for key in ('source_response', 'target_code')) + response_h, response_t = routed_matrix(H, ell), routed_matrix(TB, v) + output_y0 = {p: add(response_h[p], response_t[p]) for p in range(112)} + f = query(x, range(112), R) + need(query(dx, range(112), R) == f, 'Dirty source has the same old query') + projection = scatter(f, OFF, R) + old_y1 = {p: add(add(x[p], y[p]), projection[p], -1) for p in OFF} + debt = scatter(query(old_y1, OFF, R, True), A, R, True) + frozen_g = json.loads(read(HERE.parent / 'FUTURE-READ-ROWS.json', + 'bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5')) + need([[p, [[n, [list(t) for t in w], str(v)] for (n, w), v in sorted(row.items())]] + for p, row in sorted(debt.items())] == frozen_g, 'Exact frozen donor-debt rows') + q = query({p: add(ell[p], y[p]) for p in U}, U, R, True) + q_selected = scatter(q, A, R, True) + need(all(output_y0[p] == q_selected[p] for p in A), 'Accepted selected query in actual source order') + initial = {f'X0:{p}': ell[p] for p in range(112)} + initial.update({f'Y0:{p}': output_y0[p] for p in range(112)}) + initial.update({f'X1:{p}': dx[p] if p in V else c[p] for p in range(112)}) + initial.update({f'Y1:{p}': dy[p] if p in V else add(beta[p], y[p], -1) for p in range(112)}) + initial.update({f'R{p}': add(h[p], debt[p]) for p in A}) + initial['C'] = {('private:', ()): Q(1)} + latent = {name for row in initial.values() for name, _ in row} + need(len(latent) == 457, 'All 448 data, eight donor, and one scratch input columns') + frames = {field: FULL for field in initial} + frames['C'] = () + for p in range(112): + if p not in A: + frames[f'Y0:{p}'] += ((routes[p]['q'], -1),) + if p in U: + frames[f'Y1:{p}'] += ((routes[p]['q'], -1),) + alias = {p: add(c[p], projection[p]) if p in OFF else c[p] for p in range(112)} + sums = {p: add(add(c[p], dx[p]), dy[p]) for p in T} + checkpoints = { + 'source_prepare': {**{f'X0:{p}': dx[p] for p in range(112)}, **{f'X1:{p}': c[p] for p in range(112)}}, + 'selected_sum_prepare': {f'Y1:{p}': sums[p] for p in T}, + 'source_alias': {**{f'X0:{p}': dx[p] for p in range(112)}, **{f'X1:{p}': alias[p] for p in range(112)}}, + 'routed_response': {f'R{p}': move(h[p], p) for p in A}, + 'source_return': {**{f'R{p}': h[p] for p in A}, **{f'X1:{p}': alias[p] for p in range(112)}, **{f'Y1:{p}': sums[p] for p in T}}, + 'source_alias_inverse': {f'X1:{p}': c[p] for p in range(112)}, + 'selected_sum_inverse': {f'Y1:{p}': dy[p] for p in T}, + 'source_prepare_inverse': {field: row for field, row in initial.items() if field.startswith(('X0:', 'X1:'))}} + expected = deepcopy(initial) + for p in V: + expected[f'X1:{p}'], expected[f'Y1:{p}'] = x[p], y[p] + for p in A: + expected[f'R{p}'] = h[p] + expected['C'] = {} + rows, end_frames, replay_receipt = replay(parts, initial, frames, routes, checkpoints) + need(rows == expected, 'Every final output row on all 457 latent inputs') + need(all(phase(end_frames[f]) == phase(frames[f]) for f in frames), 'Every native endpoint frame returns') + output_hash = sha256(encoded(row_encoding(rows))).hexdigest() + need(output_hash == producer['all_output_rows_sha256'], 'Independent output digest agrees') + bill = invoice(word) + need({k: v for k, v in bill.items() if k != 'coefficients'} == producer['invoice'], 'Independent total invoice') + part_bills = {part['name']: invoice(part['events']) for part in parts} + need(all({k: v for k, v in bill.items() if k != 'coefficients'} == producer['part_invoices'][name] + for name, bill in part_bills.items()), 'Every independent component invoice') + accesses = [e[k] for e in word for k in ('field', 'dst', 'src') if k in e] + need(not any(f.startswith('Y0:') and int(f[3:]) not in A for f in accesses), 'No off-A Y0 access') + need(not any(f.startswith('Y1:') and int(f[3:]) in U for f in accesses), 'No hole-frame Y1 access') + need(all(isinstance(c, Q) for row in rows.values() for c in row.values()), 'Exact rational coefficients throughout') + + controls = {} + for name in ('query_subtraction', 'selected_sum_prepare', 'source_alias', 'routed_response', 'selected_error_correction'): + changed = [p for p in parts if p['name'] != name] + result, _, _ = replay(changed, initial, frames, routes) + controls['omit_' + name] = result != expected + bad = deepcopy(parts) + bad[3]['events'].insert(2, dict(parts[4]['events'][0], field='C')) + try: + storage_audit(bad) + except ValueError as e: + controls['map_private_C'] = str(e) + bad = deepcopy(parts) + bad[3]['events'].pop(-2) + try: + storage_audit(bad) + except ValueError as e: + controls['C_survives_owner_boundary'] = str(e) + bad = deepcopy(parts) + bad[3]['events'].pop(1) + try: + storage_audit(bad) + except ValueError as e: + controls['missing_initial_C_clear'] = str(e) + bad = deepcopy(parts) + bad[4]['events'][0]['shift'] ^= 1 + first_view = parts[4]['events'][0] + changed_phase = phase(transport(FULL, tuple(first_view['g']), first_view['shift'] ^ 1)) + need(changed_phase != phase(FULL) and changed_phase[0][0] == 3, 'Concrete nontrivial phase from the wrong translation') + try: + replay(bad, initial, frames, routes) + except ValueError as e: + controls['wrong_registered_translation'] = str(e) + need(len(controls) == 9 and all(controls.values()), 'All algebra, storage, and phase controls reject') + receipt = dict(status='PASS_INDEPENDENT_OWNER_LOCAL_MASKED_CLEANUP', source_pins=PINS, + latent_input_columns=457, output_fields=457, independent_data_columns=448, + arbitrary_donor_columns=8, arbitrary_owned_scratch_columns=1, + actual_stage2_routes=112, actual_cover_maps=240, output_rows_sha256=output_hash, + storage_audit=storage, replay=replay_receipt, intermediate_checkpoints=list(checkpoints), + invoice=bill, part_invoices=part_bills, negative_controls=controls, + wrong_translation_phase_witness=dict(character=1, correct_exponent_mod4=1, changed_exponent_mod4=3), + producer_imported_or_executed=False, native_kernel_replayed=False, + global_schedule_replayed=False, off_selected_Y0_accesses=0, hole_frame_Y1_accesses=0, + withdrawn_25360_scalar_1072_map_word_accepted=False, + scope='The stated post-F2 local cut, with real disjoint family roles and complete barriers between the recorded sweeps.', + open=['Actual changed F2 global owner admission', 'Later B3 admission and mixed target-code retirement', + 'Donor alignment and restoration in the new global schedule', + 'Recursive child hosting, primitive precision, complete stream invoice, supplier and kappa']) + args.out.write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status']) + print(json.dumps(dict(invoice=bill, output_rows_sha256=output_hash, storage=storage), sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/checks/unit_query.py b/research/borrowed-centre-storage/checks/unit_query.py new file mode 100644 index 0000000000..6d12abb161 --- /dev/null +++ b/research/borrowed-centre-storage/checks/unit_query.py @@ -0,0 +1,110 @@ +#!/usr/bin/env python3 +"""Review the separate unit-query word with the independent interpreter.""" + +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import argparse +import gzip +import importlib.util +import json + + +HERE = Path(__file__).resolve().parents[1] / "sources" / "work/centre-encoding-campaign-20261014" / "lanes/coherent-port/current-query-review-20261015" +spec = importlib.util.spec_from_file_location("independent_query_review", HERE / "review_query.py") +review = importlib.util.module_from_spec(spec) +spec.loader.exec_module(review) +review.need(sha256((HERE / "review_query.py").read_bytes()).hexdigest() == + "85166891ae71ca6847a778c74e8395ddb70bc3387ef42279f765bf27726e8824", "Independent interpreter pin") +PINS = { + "UNIT-QUERY.md": "6f53e12ba5144c8eb9df5de7eb3e19e7e0c7c1e1119db3e8116a2e643662f3a7", + "emit_unit_query.py": "9092389471e70436018a67e29604e1987301ad82ca6b2da63aae4f8117c3eab8", + "UNIT-QUERY.json": "872c32ff5445a29862f8e5f7102a981948cd70b82f6439df421286dc343bde6b", +} +PAYLOAD = "9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c" + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + args.out.parent.mkdir(parents=True, exist_ok=True) + need, plus, mul = review.need, review.plus, review.product + for name, pin in PINS.items(): + review.read(review.SOURCE / name, pin) + data = json.loads(review.read(review.SOURCE / "UNIT-QUERY-PROGRAM.json.gz", PAYLOAD, True)) + old = json.loads(review.read(review.SOURCE / "CURRENT-QUERY-PROGRAM.json.gz", review.PAYLOAD, True)) + word = json.loads(gzip.decompress(review.read(review.REPO / "work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz", review.WORD))) + interface = json.loads(review.read(review.LANES / "circuit-interface/INTERFACE.json", + "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3")) + r = review.deserialize(interface["R"]) + eye = [{p: F(1)} for p in range(112)] + k = [{j: row[p] / 4 for j, row in enumerate(r) if p in row} for p in range(112)] + ka = [dict(row) if p in review.A else {} for p, row in enumerate(k)] + ku = [dict(row) if p not in review.A else {} for p, row in enumerate(k)] + la = [{p: c for p, c in row.items() if p in review.A} for row in r] + ru = [{p: c for p, c in row.items() if p not in review.A} for row in r] + j = [dict(row) for row in eye] + for p, row in enumerate(mul(k, r)): + plus(j[p], row, -1) + x, y = mul(ka, ru), mul(ku, la) + need(not any(mul(x, x)) and not any(mul(y, y)), "Both square-zero factors") + upper, lower, upper_i, lower_i = [[dict(row) for row in eye] for _ in range(4)] + for p in range(112): + plus(upper[p], x[p]); plus(upper_i[p], x[p], -1) + plus(lower[p], y[p], -1); plus(lower_i[p], y[p]) + target, inverse = mul(lower, upper), mul(upper_i, lower_i) + need(mul(target, inverse) == mul(inverse, target) == eye, "Both exact dyadic inverse orders") + need(mul(la, target) == r, "Full current query without odd division") + correction = [dict(row) for row in target] + for p, row in enumerate(j): + plus(correction[p], row, -1) + expected_correction = mul(ka, [{p: 2 * row.get(p, F(0)) - la[m].get(p, F(0)) + for p in row if 2 * row.get(p, F(0)) - la[m].get(p, F(0))} + for m, row in enumerate(r)]) + need(correction == expected_correction, "Selected completion formula") + need({p for p, row in enumerate(correction) if row} == set(review.A), "Only eight selected output rows") + need(sum(map(len, correction)) == 424 and {c for row in correction for c in row.values()} == {F(-1), F(1)}, + "Actual signed-unit suffix coefficients") + for name, value in (("T", target), ("inverse_T", inverse), ("S", correction)): + need(review.deserialize(data[name]) == value, "Actual matrix: " + name) + for name in ("retained_core", "native_normalizations", "output_frames", "physical_input", "physical_output"): + need(data[name] == old[name], "Unchanged native or frame source: " + name) + need(data["selected_A"] == list(review.A), "Actual selected minor") + program = data["prefix"] + data["retained_core"] + data["native_normalizations"] + data["suffix"] + need(data["program"] == program and len(program) == 26531, "Exact emitted chronology") + expected = [{p: F(1)} for p in range(712)] + for p, row in enumerate(target): + expected[112 + p] = dict(row) + plus(expected[112 + p], {112 + q: c for q, c in row.items()}) + expected[704:] = [{} for _ in range(8)] + output, frames, scalars, climbs = review.replay(program, word) + need(output == expected and frames == data["output_frames"], "All 712 columns and mixed output frames") + half = len(data["prefix"]) // 2 + need(half == 472, "Two complete prefix factors") + controls = ( + data["prefix"][half:] + data["prefix"][:half] + data["retained_core"] + data["native_normalizations"] + data["suffix"], + data["prefix"][:half] + data["retained_core"] + data["native_normalizations"] + data["suffix"], + data["prefix"] + data["retained_core"] + data["native_normalizations"], + ) + for events in controls: + actual, _, _, _ = review.replay(events, word) + need(actual != expected, "Wrong factor or missing correction is rejected") + costs = {name: sum(review.price(e) for e in events if e[0] == "scalar") + for name, events in (("first_factor", data["prefix"][:half]), ("second_factor", data["prefix"][half:]), + ("core", data["retained_core"]), ("suffix", data["suffix"]), ("total", program))} + need(costs == dict(first_factor=3648, second_factor=3648, core=202138, suffix=3392, total=212826), + "Independent complete scalar count") + result = dict(status="PASS_UNIT_QUERY_REVIEW", producer_pins=PINS, payload_sha256=PAYLOAD, + inherited_PJ_review_sha256="149b4bbedafaca62fe414f2ff22035ece47fa1c203e1bdf0949e6d08045a17d5", + all_input_columns=712, exact_scalar_frame_checks=scalars, retained_native_climbs=climbs, + helper_rows_restored=480, owned_private_rows_zero=8, output_query="L_A T=R", + changed_output_rows=8, correction_coefficients=424, both_dyadic_inverse_orders=True, + rejected_controls=3, costs=costs, added_rank_one_children=8, native_mass=5530, + scope="Separate unit-query local word; native line and exterior phase evidence inherited byte-for-byte from the independent PJ review.") + args.out.write_text(json.dumps(result, indent=2, sort_keys=True) + "\n") + print("PASS_UNIT_QUERY_REVIEW: all 712 columns, both inverse orders, and 212826 scalar") + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/evidence/PORTABILITY.json b/research/borrowed-centre-storage/evidence/PORTABILITY.json new file mode 100644 index 0000000000..22fd0c067e --- /dev/null +++ b/research/borrowed-centre-storage/evidence/PORTABILITY.json @@ -0,0 +1,16 @@ +{ + "limits": [ + "Native child kernels remain inherited.", + "The masked global owner trace and target-code retirement remain open." + ], + "network_or_git_needed_for_replay": false, + "original_files_checked_unchanged": 68, + "package_copy": "/private/tmp/borrowed-centre-storage-cold-20261022", + "processes_at_once": 1, + "replay_receipt_sha256": "6fd8da23f214ddea413ea0030a5b7a05ff9e3b40e3ee69a76af92eff4170588a", + "seconds": 43.587, + "source_bytes": 13155688, + "source_files": 75, + "status": "PASS_STANDALONE_PACKAGE_REPLAY", + "working_directory": "/private/tmp/borrowed-centre-storage-cold-result-20261022" +} diff --git a/research/borrowed-centre-storage/evidence/REPLAY.json b/research/borrowed-centre-storage/evidence/REPLAY.json new file mode 100644 index 0000000000..7ddb1238f0 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/REPLAY.json @@ -0,0 +1,68 @@ +{ + "adapted_checkers_checked": 7, + "archive_scope": "Exact extracted members are checked. Full historical archives are not replayed.", + "cleanup_bytes_match": true, + "frozen_inputs_unchanged": true, + "masked_payload_matches": true, + "not_checked": [ + "Retained native child kernels", + "Changed masked global owner schedule", + "Mixed-frame target-code retirement", + "Recursive storage and precision", + "Complete supplier or kappa calculation" + ], + "platform": "macOS-26.6.1-arm64-arm-64bit-Mach-O", + "processes_at_once": 1, + "python": "3.14.7", + "scope": "Two all-512 storage witnesses, a local masked unit, and a cleanup conditional on its aligned cut.", + "source_files_checked": 75, + "source_pins_sha256": "d078670e610cb21faac57c5b10b1adad60efee137eab7a4a90a1883928cc231f", + "status": "PASS_BORROWED_CENTRE_STORAGE_PACKAGE", + "steps": [ + { + "name": "borrowed_core", + "returncode": 0, + "seconds": 5.789 + }, + { + "name": "carried_alias", + "returncode": 0, + "seconds": 5.343 + }, + { + "name": "relative_storage", + "returncode": 0, + "seconds": 3.799 + }, + { + "name": "clean_storage", + "returncode": 0, + "seconds": 1.318 + }, + { + "name": "unit_query", + "returncode": 0, + "seconds": 3.291 + }, + { + "name": "masked_producer", + "returncode": 0, + "seconds": 4.901 + }, + { + "name": "masked_review", + "returncode": 0, + "seconds": 6.47 + }, + { + "name": "cleanup_producer", + "returncode": 0, + "seconds": 6.251 + }, + { + "name": "cleanup_review", + "returncode": 0, + "seconds": 6.425 + } + ] +} diff --git a/research/borrowed-centre-storage/evidence/STATIC-AUDIT.json b/research/borrowed-centre-storage/evidence/STATIC-AUDIT.json new file mode 100644 index 0000000000..db61601ce8 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/STATIC-AUDIT.json @@ -0,0 +1,10 @@ +{ + "checker_sources_pinned": 7, + "frozen_sources": 75, + "limits": [ + "External GitHub links require publication verification.", + "Historical documents retain historical links and statements." + ], + "new_document_local_links_checked": 42, + "status": "PASS_PACKAGE_STATIC_AUDIT" +} diff --git a/research/borrowed-centre-storage/evidence/UPSTREAM-IDENTITY.json b/research/borrowed-centre-storage/evidence/UPSTREAM-IDENTITY.json new file mode 100644 index 0000000000..f12d27d6f7 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/UPSTREAM-IDENTITY.json @@ -0,0 +1,19 @@ +{ + "checks": [ + { + "commit": "a6e6ad3936f67b8f63b5b68c5e75d540610a65e7", + "path": "research/joint-query/certificate.json.gz", + "sha256": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "url": "https://github.com/CrocSwap/integer-mult-bounds/blob/a6e6ad3936f67b8f63b5b68c5e75d540610a65e7/research/joint-query/certificate.json.gz" + }, + { + "commit": "bb29ea73ad9be9a0c3d53cdcb1d22b2ee9ffe42f", + "path": "research/native-source-codes/README.md", + "sha256": "0df7f1748ec557be09aa9bd20e2fd24894bc48f74b2b0b872328f116a65b92fb", + "url": "https://github.com/CrocSwap/integer-mult-bounds/blob/bb29ea73ad9be9a0c3d53cdcb1d22b2ee9ffe42f/research/native-source-codes/README.md" + } + ], + "repository": "CrocSwap/integer-mult-bounds", + "scope": "Local Git object equality and provenance. External link resolution remains a publication check.", + "status": "PASS_LOCAL_GIT_SOURCE_IDENTITY" +} diff --git a/research/borrowed-centre-storage/evidence/borrowed-core.json b/research/borrowed-centre-storage/evidence/borrowed-core.json new file mode 100644 index 0000000000..5cf3c76776 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/borrowed-core.json @@ -0,0 +1,39 @@ +{ + "borrowed_payload_sha256": "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + "checker_sha256": "649ceef33362848e9856bb65e44b0beaf63272bbb7869259d6d84e241bac21c5", + "checks": { + "backward": { + "arbitrary_centre_fields_restored": 8, + "arbitrary_helpers_restored": 480, + "baseline_omission_rejected": true, + "input_columns": 712, + "native_events_unchanged": true, + "native_rank_mass": 5522, + "real_primitives": 207606, + "scalar_frames_checked": true, + "scalar_macros": 20653, + "uncompute_omission_rejected": true + }, + "forward": { + "arbitrary_centre_fields_restored": 8, + "arbitrary_helpers_restored": 480, + "baseline_omission_rejected": true, + "input_columns": 712, + "native_events_unchanged": true, + "native_rank_mass": 5522, + "real_primitives": 207606, + "scalar_frames_checked": true, + "scalar_macros": 20653, + "uncompute_omission_rejected": true + } + }, + "not_claimed": [ + "The stage-seven private cancellation preserves these fields", + "A global query carrier schedule", + "A complete supplier or kappa gain" + ], + "producer_imported": false, + "scope": "The actual unchanged native frames and children with arbitrary borrowed centre state. The old exact complex native contracts are inherited.", + "source_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "status": "PASS_INDEPENDENT_BORROWED_CENTRES_NATIVE_INTERFACE" +} diff --git a/research/borrowed-centre-storage/evidence/carried-alias.json b/research/borrowed-centre-storage/evidence/carried-alias.json new file mode 100644 index 0000000000..54b4f8b62c --- /dev/null +++ b/research/borrowed-centre-storage/evidence/carried-alias.json @@ -0,0 +1,92 @@ +{ + "all_tensor_sizes": "Exact base identities have scalar phase one. Tensor them with the same translations and address gathers; use each scalar coefficient once.", + "arbitrary_cache_inputs": 8, + "arbitrary_helper_outputs": 480, + "archive_replayed": false, + "baseline_capture_counterexample": { + "cache": 0, + "input_Y_port": 2, + "residual": "-1/2" + }, + "capture_ADDs": 424, + "capture_real_primitives": 4224, + "captured_backward": { + "native_mass": 5538, + "native_profile": { + "1": 2428, + "2": 418, + "3": 432, + "4": 142, + "5": 82 + }, + "real_primitives": 232390, + "scalar_operations": { + "add": 22010, + "scale": 707 + } + }, + "complete_712_column_replays": [ + "captured_backward_word", + "following_forward_word" + ], + "credit_scope": "Rank 584 per replica is paid. Productive rank 584 requires eight admitted independent owners and their full F73 outputs; this review does not admit their allocation.", + "excluded": [ + "Clean query access", + "Restoration of source G", + "A complete global data controller", + "Final owner allocation", + "Address and scalar-control invoice", + "Full recursive or precision invoice", + "Kappa improvement" + ], + "following_forward": { + "native_mass": 5522, + "native_profile": { + "1": 2412, + "2": 418, + "3": 432, + "4": 142, + "5": 82 + }, + "real_primitives": 207670, + "scalar_operations": { + "add": 19954, + "scale": 707 + } + }, + "four_window_real_primitives_per_replica": 17152, + "global_calls_checked": 144, + "global_phase_identities": 144, + "global_phase_value_comparisons": 389088, + "hole_eigenvalues_checked": 4096, + "native_scope": "Exact new hole and owner phase identities. Retained local child kernels, local endpoint adapters, and native input-line premises are inherited; no broad kernel replay.", + "omitted_local_translation_counterexamples": 2048, + "packaged_members_verified": true, + "paid_rank_per_owner": 73, + "pins": { + "R": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "borrowed": "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + "logger": "ac824c98819dc1defef14788bf5215f72323f49a49f1f8bec4ee373558eba82e", + "native_review": "ebf14b2eccffc0b3a2f03858a84c72792d27d7dd4a177f0b02609921f6258144", + "note": "0a1c3319c2d0ffba4cb70f1a5aca35c2d62072a2380afeaad0c301e29b10e12f", + "payload": "677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d", + "producer": "eec25fa79fca117181b619fba9448bbfe0d358373ba00c1ccdc3daceebfa1623", + "producer_receipt": "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2", + "research/community-frontier1042-audit/selected-replay.tar.gz": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "research/complex-t16-rare-pattern-exchanges/data/PLAN.json": "7bd786ba8e66408f02aa9ef446eaf20c1bfe981ea2e4dd1e5a929f0aa7767bc0", + "t16/global/base/split-centres/GLOBAL-TEMPLATE.json.gz": "a179dad87651aba340a5a8ddbcd86a8e757cad87b8a1f8bad48106fbecd38518", + "t16/global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "word": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + }, + "points_per_identity": 2702, + "profile_per_independent_owner": { + "8": 8, + "9": 1 + }, + "signed_input_line_recipes_checked_by_address_algebra": 16, + "source_base": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "status": "PASS_INDEPENDENT_CARRIED_QUERY_ALIAS", + "unload_ADDs": 8, + "unload_real_primitives": 64, + "windows_checked": 4 +} diff --git a/research/borrowed-centre-storage/evidence/clean-storage.json b/research/borrowed-centre-storage/evidence/clean-storage.json new file mode 100644 index 0000000000..8c5bc13ca3 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/clean-storage.json @@ -0,0 +1,60 @@ +{ + "added_fields": 0, + "added_native_children": 0, + "alias_review_sha256": "e5823787516ad6abbc1e2b0a6b2c3d53422ac56bca462dcfeb6abd6b25569ac3", + "all_14336_owner_locations_restored": true, + "arbitrary_query_donor_and_target_checked": true, + "archive_replayed": false, + "archive_sha256": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", + "candidate_range": [ + 3608, + 10675 + ], + "checker_sha256": "a5e5021ed24f9a249071f1934911298aead5d4e2ab1d734d2dd00cc2afa26276", + "complete_intervals": 64, + "complete_schedule_events": 482, + "complete_symbolic_location_replay": true, + "complex_ADDs": 3072, + "complex_sign_SCALES": 1024, + "exact_bridge_read_replacements": 384, + "excluded": [ + "Common-frame query access", + "Storage through F", + "Source-code restoration", + "A complete global controller", + "Finite address, control, and precision invoice", + "Kappa improvement" + ], + "globally_disjoint_source_donor_pairs": 512, + "native_phase_scope": "The exact selected-Y query is moved by an unsigned raw swap at the same physical cover class and address; no native phase or chart is changed.", + "negative_controls": [ + "missing_swap_sign", + "old_bridge_read", + "actual_idle_event_owner", + "duplicate_donor" + ], + "old_live": 14336, + "old_physical": 14826, + "original_event_counts": { + "bridges": 144, + "helper_occurrences": 69120, + "idle_events": 160, + "local_calls": 144, + "terminal": 16, + "terminal_Y_translations": 16 + }, + "packaged_members_verified": true, + "physical_swaps": 1024, + "placement": "Each capture is a complete sweep after B and before the next event; each erase is a complete sweep before F.", + "producer_executed": false, + "producer_imported": false, + "scalar_real_primitives_subtotal": 26624, + "selected_query_rows": 512, + "source_pins": { + "CLEAN-IDLE-STORAGE.json": "294a8f4ac078cebb2545834f307628ca1578c635ca10d6c9d309900997d86ae1", + "CLEAN-IDLE-STORAGE.md": "1015479b667d70be74121c0abd347cbd8fd72938d932b544675b2236dd18864a", + "check_clean_idle_storage.py": "cd08ffebe6ef9f70b0f20a991c1173153bc9b40ec67009f62e4b1d725a3188bb" + }, + "status": "PASS_INDEPENDENT_ALL512_CLEAN_IDLE_STORAGE", + "template_sha256": "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760" +} diff --git a/research/borrowed-centre-storage/evidence/cleanup-producer.json b/research/borrowed-centre-storage/evidence/cleanup-producer.json new file mode 100644 index 0000000000..f020c3c7d7 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/cleanup-producer.json @@ -0,0 +1,158 @@ +{ + "all_output_rows_sha256": "f1c857a47139103dae073f40f5a53ea798deb1852a0b8357ff87becfd8bf837e", + "arbitrary_donor_columns": 8, + "hole_frame_Y1_reads": 0, + "independent_data_columns": 448, + "invoice": { + "cover_maps": 240, + "events": { + "add": 2584, + "clear": 18, + "map": 240, + "private_begin": 2, + "private_end": 2, + "scale": 32 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 25124 + }, + "negative_controls": { + "C_survives_owner": "C leaves its owner at zero", + "cover_map_of_private_C": "No cover map inside an owner sweep", + "query_subtraction": "All 448 data, eight donor and one owned input columns", + "routed_response": "All 448 data, eight donor and one owned input columns", + "selected_error_correction": "All 448 data, eight donor and one owned input columns", + "selected_sum_prepare": "All 448 data, eight donor and one owned input columns", + "source_alias": "All 448 data, eight donor and one owned input columns" + }, + "off_selected_Y0_reads": 0, + "owned_private_columns": 1, + "part_invoices": { + "query_subtraction": { + "cover_maps": 0, + "events": { + "add": 8 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 64 + }, + "routed_response": { + "cover_maps": 0, + "events": { + "add": 448 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 4480 + }, + "selected_error_correction": { + "cover_maps": 0, + "events": { + "add": 80 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 768 + }, + "selected_sum_inverse": { + "cover_maps": 0, + "events": { + "add": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 128 + }, + "selected_sum_prepare": { + "cover_maps": 0, + "events": { + "add": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 128 + }, + "source_alias": { + "cover_maps": 0, + "events": { + "add": 864, + "clear": 9, + "private_begin": 1, + "private_end": 1 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 8594 + }, + "source_alias_inverse": { + "cover_maps": 0, + "events": { + "add": 864, + "clear": 9, + "private_begin": 1, + "private_end": 1 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 8594 + }, + "source_gather": { + "cover_maps": 120, + "events": { + "map": 120 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 0 + }, + "source_prepare": { + "cover_maps": 0, + "events": { + "add": 144, + "scale": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 1184 + }, + "source_prepare_inverse": { + "cover_maps": 0, + "events": { + "add": 144, + "scale": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 1184 + }, + "source_return": { + "cover_maps": 120, + "events": { + "map": 120 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 0 + } + }, + "peak_owned_scratch": 1, + "private_cover_maps": 0, + "private_owner_sweeps": 2, + "scope": "Local complete-cut access. Each family sweep is complete before the next owner sweep. Every private value is cleared within its owner. Changed F2 owner admission, later target-code retirement, primitive precision, recursive hosting and the complete supplier remain open.", + "status": "PASS_OWNER_LOCAL_MASKED_CLEANUP_457_COLUMNS", + "word_sha256": "e40f0ba1b06f165e805213213db7dd2936fb180aa8a304fcca9d061bdcf52fde" +} diff --git a/research/borrowed-centre-storage/evidence/cleanup-review.json b/research/borrowed-centre-storage/evidence/cleanup-review.json new file mode 100644 index 0000000000..04145ddb93 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/cleanup-review.json @@ -0,0 +1,320 @@ +{ + "actual_cover_maps": 240, + "actual_stage2_routes": 112, + "arbitrary_donor_columns": 8, + "arbitrary_owned_scratch_columns": 1, + "global_schedule_replayed": false, + "hole_frame_Y1_accesses": 0, + "independent_data_columns": 448, + "intermediate_checkpoints": [ + "source_prepare", + "selected_sum_prepare", + "source_alias", + "routed_response", + "source_return", + "source_alias_inverse", + "selected_sum_inverse", + "source_prepare_inverse" + ], + "invoice": { + "coefficients": { + "add:-1": 512, + "add:-1/2": 208, + "add:-1/4": 416, + "add:1": 728, + "add:1/2": 304, + "add:1/4": 416, + "scale:-1": 32 + }, + "cover_maps": 240, + "events": { + "add": 2584, + "clear": 18, + "map": 240, + "private_begin": 2, + "private_end": 2, + "scale": 32 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 25124 + }, + "latent_input_columns": 457, + "native_kernel_replayed": false, + "negative_controls": { + "C_survives_owner_boundary": "Scratch must end at zero and identity inside its owner", + "map_private_C": "No map or native job inside an owner body", + "missing_initial_C_clear": "Scratch must be initialized inside its current owner", + "omit_query_subtraction": true, + "omit_routed_response": true, + "omit_selected_error_correction": true, + "omit_selected_sum_prepare": true, + "omit_source_alias": true, + "wrong_registered_translation": "Exact registered view translation" + }, + "off_selected_Y0_accesses": 0, + "open": [ + "Actual changed F2 global owner admission", + "Later B3 admission and mixed target-code retirement", + "Donor alignment and restoration in the new global schedule", + "Recursive child hosting, primitive precision, complete stream invoice, supplier and kappa" + ], + "output_fields": 457, + "output_rows_sha256": "f1c857a47139103dae073f40f5a53ea798deb1852a0b8357ff87becfd8bf837e", + "part_invoices": { + "query_subtraction": { + "coefficients": { + "add:-1": 8 + }, + "cover_maps": 0, + "events": { + "add": 8 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 64 + }, + "routed_response": { + "coefficients": { + "add:-1/2": 176, + "add:1/2": 272 + }, + "cover_maps": 0, + "events": { + "add": 448 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 4480 + }, + "selected_error_correction": { + "coefficients": { + "add:-1": 8, + "add:-1/2": 32, + "add:1": 8, + "add:1/2": 32 + }, + "cover_maps": 0, + "events": { + "add": 80 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 768 + }, + "selected_sum_inverse": { + "coefficients": { + "add:-1": 16 + }, + "cover_maps": 0, + "events": { + "add": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 128 + }, + "selected_sum_prepare": { + "coefficients": { + "add:1": 16 + }, + "cover_maps": 0, + "events": { + "add": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 128 + }, + "source_alias": { + "coefficients": { + "add:-1": 168, + "add:-1/4": 156, + "add:1": 280, + "add:1/4": 260 + }, + "cover_maps": 0, + "events": { + "add": 864, + "clear": 9, + "private_begin": 1, + "private_end": 1 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 8594 + }, + "source_alias_inverse": { + "coefficients": { + "add:-1": 168, + "add:-1/4": 260, + "add:1": 280, + "add:1/4": 156 + }, + "cover_maps": 0, + "events": { + "add": 864, + "clear": 9, + "private_begin": 1, + "private_end": 1 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 8594 + }, + "source_gather": { + "coefficients": {}, + "cover_maps": 120, + "events": { + "map": 120 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 0 + }, + "source_prepare": { + "coefficients": { + "add:-1": 112, + "add:1": 32, + "scale:-1": 16 + }, + "cover_maps": 0, + "events": { + "add": 144, + "scale": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 1184 + }, + "source_prepare_inverse": { + "coefficients": { + "add:-1": 32, + "add:1": 112, + "scale:-1": 16 + }, + "cover_maps": 0, + "events": { + "add": 144, + "scale": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 1184 + }, + "source_return": { + "coefficients": {}, + "cover_maps": 120, + "events": { + "map": 120 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 0 + } + }, + "producer_imported_or_executed": false, + "replay": { + "add_phase_checks": 2584, + "boundaries": [ + { + "C_identity": true, + "C_zero": false, + "part": "query_subtraction" + }, + { + "C_identity": true, + "C_zero": false, + "part": "source_prepare" + }, + { + "C_identity": true, + "C_zero": false, + "part": "selected_sum_prepare" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_alias" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_gather" + }, + { + "C_identity": true, + "C_zero": true, + "part": "routed_response" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_return" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_alias_inverse" + }, + { + "C_identity": true, + "C_zero": true, + "part": "selected_sum_inverse" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_prepare_inverse" + }, + { + "C_identity": true, + "C_zero": true, + "part": "selected_error_correction" + } + ], + "physical_views": 240 + }, + "scope": "The stated post-F2 local cut, with real disjoint family roles and complete barriers between the recorded sweeps.", + "source_pins": { + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/check_restoration.py": "8c6fb324aa898f86b3edbd85252570a2dc43c40455887f789a153191645686ca", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json": "bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.json": "04dfde7cd7182f711bca4d75f0a258f447131dd65b779bef7095e4729d542488", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/PRIVATE-COVER-ISSUE.md": "c4419c12661d8617135ce17d0918c47a98b08532e5c70422e25c777567f05eae", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP-MANIFEST.json": "1ce42dd7732c39b4f6f9dec1329e7e3145751e8827e7020fe6d5ee04c7e67e03", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP.md": "1c75fefbe456feb11c91d65c0da390087783983156dfb1fecc4019695cfd3338", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_stream_cleanup.py": "93d7076937427a8c1ee1c15911c7e6df74520cbb555284ec07103a5224c7b8ba", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY-PROGRAM.json.gz": "a4fc54c4af9d3f65e60b025ee26a144d133ae935774d73bbb48d5c7d39ef8581", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP-WORD.json": "e40f0ba1b06f165e805213213db7dd2936fb180aa8a304fcca9d061bdcf52fde", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP.json": "fc6844f816222935219a6b7fb4d8dbdefcb6e9be9c3193355a40080e04f15227", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json": "bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880" + }, + "status": "PASS_INDEPENDENT_OWNER_LOCAL_MASKED_CLEANUP", + "storage_audit": { + "destructive_real_field_clears": 0, + "family_sweeps": 2, + "owner_sweeps": 9, + "peak_owned_scratch": 1, + "private_cover_maps": 0, + "private_owner_bodies": 2 + }, + "withdrawn_25360_scalar_1072_map_word_accepted": false, + "wrong_translation_phase_witness": { + "changed_exponent_mod4": 3, + "character": 1, + "correct_exponent_mod4": 1 + } +} diff --git a/research/borrowed-centre-storage/evidence/masked-producer.json b/research/borrowed-centre-storage/evidence/masked-producer.json new file mode 100644 index 0000000000..03fee31977 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/masked-producer.json @@ -0,0 +1,32 @@ +{ + "all_input_columns": 712, + "cleared_owned_fields": 8, + "controls": { + "incomplete_section": true, + "mask_after_T": true, + "mask_omitted": true, + "mask_sign_reversed": true, + "unmasked_source_suffix": true + }, + "costs": { + "added_native_wrappers": 16, + "added_rank_one_children": 8, + "complete_scalar": 213466, + "mask_prefix": 640, + "native_mass": 5530, + "new_fields": 0, + "new_mask_private_use": 0, + "retained_core": 202138, + "retained_unit_prefix": 7296, + "selected_masked_source_correction": 3392 + }, + "mask_events": 64, + "payload_sha256": "42a9d4bab68fe25f5592a4105b0b7cefa289187165f1d3dd0db6540afca98263", + "program_events": 26587, + "query": "L_A Y_out = R_U(X_U+Y_U)", + "restored_arbitrary_helpers": 480, + "scope": "Exact local native word. Target inverse is algebraic only; changed-code consumer, child hosting, streams and precision remain open.", + "source_payload_sha256": "9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c", + "status": "PASS_MASKED_CURRENT_SUM_QUERY_UNIT_712_COLUMNS", + "target_inverse": "Y = (T B)^-1(Y_out - H X_out)" +} diff --git a/research/borrowed-centre-storage/evidence/masked-review.json b/research/borrowed-centre-storage/evidence/masked-review.json new file mode 100644 index 0000000000..55ea5bb4f3 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/masked-review.json @@ -0,0 +1,150 @@ +{ + "conditional_F2_erase": { + "distinct_source_columns": 216, + "maximum_route_word_length": 2, + "row_sha256": "4f096fac6482c0473241af7cde1e9659431d78736c376b92bb00f83bf6de0e61", + "rows": 8, + "terms": 22048 + }, + "conditional_F2_independent_columns": 360, + "conditional_entry": "After selected-port swaps, l_V0=c_V0, l_U=x_U+c_U, v_U=y_U, and v_V0 is arbitrary; the stated current read fields have common F_U2.", + "controls": { + "old_unmasked_source_correction": true, + "omitted_mask": true, + "omitted_old_query_subtraction": true, + "omitted_other_pair_U": true, + "omitted_selected_Y": true, + "omitted_source_correction": true, + "reversed_target_precode": true, + "wrong_mask_sign": true + }, + "costs": { + "complete_scalar": 213466, + "events": 26587, + "mask_scalar": 640, + "new_cover_maps": 0, + "new_native_children": 0, + "new_native_wrappers": 0, + "new_private_fields": 0, + "pure_target_consequence_scalar": 214234, + "retained_unit_scalar": 212826, + "selected_source_correction": 3392 + }, + "final_literal_word_compared": true, + "final_masked_sum_payload_sha256": "42a9d4bab68fe25f5592a4105b0b7cefa289187165f1d3dd0db6540afca98263", + "full_712_event_replay": false, + "global_482_schedule_replay": false, + "greedy_minor": [ + 1, + 2, + 3, + 4, + 5, + 6, + 8, + 12 + ], + "greedy_minor_determinant": "-32", + "inherited_contract": "The accepted UNIT-QUERY core gives X=x and Y=T(x+y), with the stated mixed native frames and complete arbitrary-helper endpoint map.", + "input_prefix_sha256": "115f07ab35022495afcb32b25bc2e91e3aa172cc961317dd8aa82b8ec759922e", + "later_B3_admission": false, + "limits": [ + "The algebraic inverse does not admit cross-frame scalar gates.", + "The old full-W all-output dirt receipt does not transfer to this selected-port substitution.", + "No new global output map, recursive hosting, precision bound, supplier, or kappa claim." + ], + "mask_coefficient_census": { + "-1/2": 40, + "1/2": 24 + }, + "mask_ports": [ + 0, + 7, + 20, + 27, + 36, + 46, + 57, + 111, + 21, + 37, + 47, + 76, + 81, + 87, + 92, + 110 + ], + "mixed_target_code_retirement": false, + "native_kernel_replay": false, + "new_prefix_and_suffix_all_224_data_columns": true, + "orthogonal_minor_determinant": "-256", + "section_ports": [ + 1, + 6, + 22, + 28, + 33, + 49, + 58, + 109 + ], + "selected_A": [ + 0, + 7, + 20, + 27, + 36, + 46, + 57, + 111 + ], + "selected_T": [ + 21, + 37, + 47, + 76, + 81, + 87, + 92, + 110 + ], + "selected_query": "R_U(x+y)", + "source_code_sha256": "46fe407583f52250d80437c2e17610aae9af479ce1af1c608a85a6e989eef27c", + "source_correction_absolute_coefficient_census": { + "1": 384, + "1/2": 32 + }, + "source_pins": { + "work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/UNIT-REVIEW.json": "58620b41e6b6aef4250bea4c4b4e66ab4c8fd03cd8bdd1f438a61377f297e756", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/CURRENT-QUERY-PROGRAM.json.gz": "b4d5cba37c696d1c31f530b3aa4f01535718972227f8b63d626125f35046d09e", + 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"bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/MASKED-QUERY.md": "af7d8c132528da939a01bdbfa49a643697e4ef6c388642de6c8ca9f1fdc6fdd3", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_masked_query.py": "809509a2c41c947a4ea64fcb579b739b24fe6020e59eaa1dae3d8f38e63cfaed", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY-PROGRAM.json.gz": "a4fc54c4af9d3f65e60b025ee26a144d133ae935774d73bbb48d5c7d39ef8581", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY.json": "b6ad9e6705aefb35e2f7ed621334151710b2a31765f4c51f76f26641394d2d0a" + }, + "status": "PASS_MASKED_QUERY_ALGEBRA_AND_CONDITIONAL_F2_READ", + "target_inverse_sha256": "5db0661966643af4848463f4b98cf880fc3bc3e43d71e77baa18dbce4c5d4ada", + "target_precode_sha256": "b119dc5c77888c0353b814d76eacad48ea95d53e30328543513ffe25a6be1728", + "unmasked_query_collision": { + "all_named_FULL_observations_unchanged": true, + "changed_original_Y_port": 1, + "compensation_ports": [ + 0, + 7, + 20, + 27, + 36, + 46, + 57, + 111 + ], + "erase_query_changed": true + } +} diff --git a/research/borrowed-centre-storage/evidence/relative-storage.json b/research/borrowed-centre-storage/evidence/relative-storage.json new file mode 100644 index 0000000000..31f23d7d21 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/relative-storage.json @@ -0,0 +1,88 @@ +{ + "actual_schedule_events": 482, + "additional_fields": 0, + "additional_native_children": 0, + "all_tensor_multiplicities": true, + "arbitrary_background_lemma_reviewed": true, + "archive_replayed": false, + "archive_sha256": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", + "capture_ADDs": 27136, + "checker_sha256": "e17b011bf5c4f35d174866b2dbaac5662686aa0690bcd21606503ffb049edba2", + "complete_donor_histories": 512, + "complete_eight_row_cohorts": 64, + "dependency_pins": { + "lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json": "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2", + "lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json": "e5823787516ad6abbc1e2b0a6b2c3d53422ac56bca462dcfeb6abd6b25569ac3", + "root/BORROWED-CENTRES-REVIEW.json": "04cffe488bce2b3f8c58a3e3428921052375bdcf1e0206c20de8e568a63d9b1f" + }, + "erase_ADDs": 512, + "exact_phase_coefficients": 1383424, + "excluded": [ + "Clean query access", + "Local C alias", + "A dirty-cache read protocol", + "Restoration of source G", + "A full data controller", + "Finite address, control, precision, and recursive invoice", + "Kappa improvement" + ], + "full_73_variable_phase_polynomials": 512, + "globally_distinct_old_owners": 512, + "helper_and_source_alias_reviews_bound": true, + "negative_controls": [ + "extra_translation", + "inverse_cover_order", + "omitted_rank4_job", + "duplicate_owner" + ], + "not_replayed": [ + "The original complete local scalar programs and native helper normalizers; their reviewed arbitrary-input contracts are retained.", + "Candidate enumeration and matching search; the full 512-row distinct-owner witness is checked directly." + ], + "old_live": 14336, + "old_physical": 14826, + "original_helper_slots_checked": 69120, + "original_idle_suffixes_checked": 7526, + "packaged_members_verified": true, + "producer_executed": false, + "producer_imported": false, + "producer_pins": { + "RELATIVE-REUSE.json": "1d6d6c598022c7e83920a00575aeb5b3866b1ed1327718d389f659b057659acb", + "RELATIVE-REUSE.md": "4ecbde9c53fd9888e5d0f2c90ef38dc006ff48ff7f9efb6b8339e87b03c6c3aa", + "check_relative_reuse.py": "723d2d11abadcbfb569b1291fd3dc01a385e57ceecfa26124fdadec93726f204" + }, + "required_placement": "All cover classes capture before each B core sweep; all erase before each F core sweep.", + "scalar_phase_one": true, + "scalar_real_primitives_subtotal": 274432, + "selected_existing_native_mass": 4096, + "selected_existing_native_profile": { + "4": 66, + "8": 479 + }, + "selected_owner_sides": { + "X": 348, + "Y": 164 + }, + "selected_path_lengths": { + "1": 479, + "2": 33 + }, + "selected_paths": 512, + "source_alias_window_event_incidences": 2512, + "source_members": { + "phases": { + "path": "candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json", + "sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + "template": { + "path": "candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz", + "sha256": "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760" + }, + "word": { + "path": "candidate/strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz", + "sha256": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + } + }, + "status": "PASS_INDEPENDENT_ALL512_RELATIVE_DIRTY_CACHE", + "unequal_entry_ranks": 499 +} diff --git a/research/borrowed-centre-storage/evidence/unit-query.json b/research/borrowed-centre-storage/evidence/unit-query.json new file mode 100644 index 0000000000..fc26df5073 --- /dev/null +++ b/research/borrowed-centre-storage/evidence/unit-query.json @@ -0,0 +1,30 @@ +{ + "added_rank_one_children": 8, + "all_input_columns": 712, + "both_dyadic_inverse_orders": true, + "changed_output_rows": 8, + "correction_coefficients": 424, + "costs": { + "core": 202138, + "first_factor": 3648, + "second_factor": 3648, + "suffix": 3392, + "total": 212826 + }, + "exact_scalar_frame_checks": 21457, + "helper_rows_restored": 480, + "inherited_PJ_review_sha256": "149b4bbedafaca62fe414f2ff22035ece47fa1c203e1bdf0949e6d08045a17d5", + "native_mass": 5530, + "output_query": "L_A T=R", + "owned_private_rows_zero": 8, + "payload_sha256": "9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c", + "producer_pins": { + "UNIT-QUERY.json": "872c32ff5445a29862f8e5f7102a981948cd70b82f6439df421286dc343bde6b", + "UNIT-QUERY.md": "6f53e12ba5144c8eb9df5de7eb3e19e7e0c7c1e1119db3e8116a2e643662f3a7", + "emit_unit_query.py": "9092389471e70436018a67e29604e1987301ad82ca6b2da63aae4f8117c3eab8" + }, + "rejected_controls": 3, + "retained_native_climbs": 3486, + "scope": "Separate unit-query local word; native line and exterior phase evidence inherited byte-for-byte from the independent PJ review.", + "status": "PASS_UNIT_QUERY_REVIEW" +} diff --git a/research/borrowed-centre-storage/notices/LICENSE b/research/borrowed-centre-storage/notices/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/borrowed-centre-storage/notices/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + 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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/borrowed-centre-storage/notices/research/gauge44-slots-t16/NOTICE.md b/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/NOTICE.md new file mode 100644 index 0000000000..30d0c8cd3c --- /dev/null +++ b/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/NOTICE.md @@ -0,0 +1,24 @@ +# Gauge44 attribution and scope + +New contributions by icekylinx, with OpenAI GPT-6 Astra assistance. +Local review and packaging used OpenAI Codex. Apache-2.0 applies; +the license is included. The full original PR635 notice is preserved as +UPSTREAM-NOTICE.md and construction/UPSTREAM-NOTICE.md. + +The new contribution is the changed source-branch gauge and retired-row +completion, source-carried coordinate totals, exact 44-cold-end realization, +and explicit all72 whole-family assignment using concave capacity matching +with integer majorization certificates. The center-carrier generalization +retains the exact ordered common frames and complete native local contract. +Independent local, price, interface and owner fixed-point checks are included. + +The construction retains the credited PR635 K-triangle and porting machinery, +earlier joint-prefix/HPE/frame ancestry and icekylinx's prior factory work. +#645 used the same cited PR543 bit supplier as PR635. This package (research/gauge44-leaver8) cites the merged PR589 bit supplier instead, with a derived rank-mass deficit (PROOF-NOTE-BIT.md); #645's retained PR543-based evidence is historical. It builds #645's word without K-triangles (PartialK) and stacks earlier community jp8 layers on it (G44Stack), adds the p6n ends (NoTriReopen), entrance promotions (BlockInvert) a read-set exchange (BRoute), chafreaky's #741 frames, JointXF's joint exchange, NewBArch's triangle-hybrid B rewrite and LeaverSAT's eight k8 leaver cells (with LeaverSAT2's frame re-optimisation); see README. All-size, realization, +hosting, precision/tape, analytic-transfer and bit H1-H5 assumptions remain +conditional. No upstream license, credit, source pin or AI disclosure is +replaced by this notice. + +PR641 and PR642 were checked as concurrent reported frontier comparisons. +Their endpoints and owner maps are not included here. See CONSTRUCTION.md, +hosting/PROOF.md, independent/ and README.md for the exact contribution scope. diff --git a/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md b/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md new file mode 100644 index 0000000000..ebc24a0168 --- /dev/null +++ b/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/UPSTREAM-NOTICE.md @@ -0,0 +1,34 @@ +# Attribution and scope + +Four verified provider types are offered to every call: PR571's prefix word with twelve multi-cut cold kernels (PR568's unchanged constructor), the same word with forty width-five entrance promotions (PR569's unchanged frame constructor) before those kernels, PR575's plain joint-prefix provider, and PR568's eight-cold provider. A window MILP with an exact per-pattern model chooses the dispatch and a literal owner map. PR583's six source-bound kernel frame coalescences (its unchanged constructor and negative controls) are applied to every PR571-prefix provider word (ck and atm3), followed by two further coalescences that each first move one addition past two commuting additions (package code/build_gate_moves.py, extending PR583's constructor); a final hyperplane_end step (package code/build_hpe.py) then runs 46 single-gate cleanups h -= p right after part B at the dim-8 join U of their registers, so 46 width-8 entering helpers per call end at U with width 7; each such gate commutes with every earlier cleanup gate on its registers (for 8 of them the partner's one earlier gate x -= p only reads p), and the reordered program is replayed exactly. A window MILP (exact windows, RINS around an LP vertex) gives the dispatch ck 45 / atm3 21 / jp8 6 and the literal owner map. + +Pinned external sources (unchanged; `verify.py` checks their manifests and every file it uses): +- PR568 (`research/complex-multicold`, commit `71c99ac935a33bb7b59a1b4a7af8725a939b0b90`). +- PR571 (`research/structural-gain`, commit `b7bdc5a8de18fcf418cfb9c7d83a2b1097a5e4a3`). +- PR569 (`research/larger-gain`, commit `897213a855b7fb8a1b8b0e552a2f5c42e6c1b326`). +- PR575 (`research/complex-joint-prefix`, commit `eac6f7e378ab622dac50a2fd4b7ef6eab014de44`). +- PR583 (`research/kernel-frame-coalescing`, commit `89be768f0157f5a3d8e4db69cf1748768605eac9`). + +Provider construction is described as typed steps in `data/SPEC.json` (`build`); `verify.py` runs only allowlisted step types with their paired omission audits and checks every input and output content hash. `code/` holds the spec-driven global admission scripts adapted from PR571's `frontier-composition/global-code/` (OpenAI Codex assisted, Apache-2.0): every expected value is read from `data/SPEC.json` and compared only after independent recomputation. `code/generated_identity.py` and `code/generated_identity_controls.py`, and the decompressed-content artifact identities in the bind, audit, invoice, assembly and phase-timing scripts, are taken unchanged from PR586 by chafreaky (`research/promoted-kernel-coalescing`, commit `4846fee5b06af770e9b3a10c36200f673d656725`, OpenAI Codex assisted, Apache-2.0), including its proof-content and reference/metadata mutation controls; the normalization of descriptive width metadata after frame changes follows the same PR. + +In PR601, the owner map was nominated by a HiGHS window MILP (adapted from PR569's `global/nominate_width7.py`) with lazy cross-time Hall cuts; this package's re-solved map is described below. Neither is an admission dependency. + +DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. (The PR601 package this one starts from states: "Prepared by Claude Code (Anthropic) research agents.") Apache-2.0 applies; LICENSE is included. All notices, licenses, source pins and AI disclosures of the pinned sources and their ancestry are retained in those packages and are not replaced by this notice. All inherited conditional assumptions remain conditional. + +**This package (complex-571-cold14, DreamingOfClouds).** It starts from PR601 (jeremykothe2, `research/complex-571-hpem46`, commit `529ab7dcb59d5ea7a5798e9e06cf5b3aee8a1550`). Everything above is kept unchanged except the following: +- every provider chain (ck, atm3, jp8) gains the typed step `cold_end` (`code/build_cold_end.py`, `code/cold_end_controls.py`; recipes `data/recipes/*-cold_end.json.gz`); +- the generalised native chain and the global admission scripts accept cold helpers that end below FULL (with `0:U` wrappers), a refactored exact cleanup, and check the wrapper order; +- `data/PLAN.json` / `data/OWNERS.json.gz` (dispatch and literal owner map) come from a relocate/swap/ejection-chain/provider-flip annealing search started from PR601's map, refined by an exact pattern-restricted owner model (CP-SAT) with a literal edge-colouring expansion (not an admission dependency); +- `data/SPEC.json` holds the expected values, recorded by a discovery run and then checked by a strict run. + +The cold-end construction (a row-plus-column cone condition for low-frame ends, a rank-0 dirt-spread premix and multi-gate lower-frame cleanup) builds on PR591 / PR592 / PR593 / PR601 (jeremykothe2) and our PR599 (Lean: multi-gate and cold hyperplane-end tails). DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. Build on this at your own risk. + +**This package (complex-571-cold14-b3, jeremykothe2).** It is PR604's `complex-571-cold14` (DreamingOfClouds) with ColdBeyond's second cold end per block (two new `cold_end` A-gate primitives, `PROOF-NOTE.md`), ColdSupply's E1 entering pair and reviewed controls, a free dispatch (jp8 ×60, atm3 ×12) and a literal owner map from an exact per-time-Hall window MIP. All other construction, code, controls and proofs are PR604's and earlier contributors', unchanged. + +**This package (complex-571-cold14-k492).** It is complex-571-cold14-b3 with these changes: +- **K-triangle base words.** The leaver-read K-triangle skeleton atom and its read schedule (`data/TRI-SCHEDULE.json`) are by AtomScout, a Claude Code research agent. `code/construct_k_triangle.py` is PR531's `code/construct_504.py` (icekylinx, OpenAI Codex / GPT assisted, Apache-2.0; pinned source `direct_delivery`) extended with that atom. +- **Ported chains.** The PR604/B3 chains are ported stage by stage onto the K-triangle words by `code/build_port_stage.py` (Port480, a Claude Code research agent). `code/build_frame_regroup.py` extends PR583's `build_frames.py` (chafreaky). +- **Helper count R.** The generalisation of the global scripts to the provider helper count R is by GlobalR (a Claude Code research agent), with AtomReviewer's fixes (PROOF-NOTE-R.md). +- **Owner map.** The owner map, the cold_end recipes on the K-triangle words and the package assembly are by Stack492, Port480 and ColdBeyond (Claude Code research agents). + +Build on this at your own risk. diff --git a/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/construction/NOTICE.md b/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/construction/NOTICE.md new file mode 100644 index 0000000000..16b0507070 --- /dev/null +++ b/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/construction/NOTICE.md @@ -0,0 +1,9 @@ +# Construction delta notice + +Prepared for icekylinx with OpenAI GPT-6 Astra assistance. Apache-2.0. + +`construct_gauge_xcentre.py` modifies PR635's credited `construct_k_triangle.py`, which in turn extends icekylinx's PR531/PR514/PR425 factory lineage. Its original source comments are retained. The K-triangle schedule and the upstream porting, JP8 frame, kernel and HPE procedures are reused from the pinned source checkouts and are not new contributions of this delta. + +The new source-copy exchanges, complementary factory basis, carrier assignment, exact cold44 constructor and compact reproduction driver are described in `../CONSTRUCTION.md`. + +`UPSTREAM-NOTICE.md` is the complete unmodified notice from the pinned PR635 package. `LICENSE` is that package's Apache-2.0 license. All further notices and source credits of the referenced upstream packages remain applicable and are retained in the source checkouts rather than vendored again here. diff --git a/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/t16/NOTICE.md b/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/t16/NOTICE.md new file mode 100644 index 0000000000..403f4afffb --- /dev/null +++ b/research/borrowed-centre-storage/notices/research/gauge44-slots-t16/t16/NOTICE.md @@ -0,0 +1,39 @@ +# Attribution and license + +Apache-2.0. New construction and integration: Hao Yan (@FanPUYen), 2026. +Prepared with substantial OpenAI Codex assistance, including separately tasked +AI agents for owner construction, independent mathematical/code checking and +native verification. These are not claims of independent human peer review. + +The exact local supplier is Jeremy Kothe's accepted PR799 X4 word, layered on +Chafik Boukhalfa's PR741 frame changes and PR685 owner construction. Chafik's +PR795 fixed-inventory optimality result motivated changing the replica count. +The original owner bytes, scalar program, local frame and width inventory, +native phase and wrapper implementations retain their existing authorship. + +Credit icekylinx for the source gauge and supplier/admission pipeline; +DreamingOfClouds for the PR589 bit transport and inherited cold-end work; +eumemic for the PR555 bit supplier and earlier supplier work; Rohan Arun for +the native exact-complex recurrence correction; Jeremy Diviney, jaymosley07, +and the other retained owner/allocation contributors; and the complete +PR514/PR484/PR507/PR558 controller, physical hosting and verification lineage. +This list is cumulative credit, not approval of every claim in those PRs. + +All original notices and licenses remain in the referenced source packages: + +- `research/gauge44-frames-x/{NOTICE,UPSTREAM-NOTICE}.md` +- `research/complex-sw4-frame8/PROVENANCE.md` +- `research/e8-bit-p111-tuned/tune/README.md` +- the repository `CONTRIBUTORS.md` and source-package licenses. + +The verifier copies pinned global source files into an external replay +directory and applies an explicit checked edit list. Original attribution +comments are preserved in those generated derivatives. No original source +file or historical certificate is rewritten. + +The optional ancestry-reuse coverage guard addresses the omission issue +identified by Lucas (@ljste) in PR838 and the related PR847 integration by +Chinmay (@chinmayarvind23). Its fixed inventories were read from the accepted +PR741 source; no pending implementation is imported. Charles Bethin's +concurrent PR850 strengthens the fixed-inventory owner-profile theorem and +was checked for overlap before publication; that inventory is changed here. diff --git a/research/borrowed-centre-storage/replay.py b/research/borrowed-centre-storage/replay.py new file mode 100644 index 0000000000..408e1ff7e0 --- /dev/null +++ b/research/borrowed-centre-storage/replay.py @@ -0,0 +1,99 @@ +#!/usr/bin/env python3 +"""Check the frozen inputs and run the local storage checks in order.""" + +import argparse +import gzip +from hashlib import sha256 +import json +import os +from pathlib import Path +import platform +import shutil +import subprocess +import sys +import time + + +PACKAGE = Path(__file__).resolve().parent +CAMPAIGN = PACKAGE / 'sources/work/centre-encoding-campaign-20261014' +MASKED = CAMPAIGN / 'lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query' + + +def require(value, message): + if not value: + raise ValueError(message) + + +def digest(path): + return sha256(path.read_bytes()).hexdigest() + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + out = args.out.resolve() + require(not out.exists(), 'Use a new output directory.') + require(PACKAGE not in out.parents, 'Put outputs outside the package.') + require(shutil.disk_usage(PACKAGE).free >= 3 * 1024**3, 'At least three GiB must be free.') + pins = json.loads((PACKAGE / 'SOURCE-PINS.json').read_text())['files'] + for name, entry in pins.items(): + path = PACKAGE / name + require(digest(path) == entry['sha256'], 'Source pin: ' + name) + if 'decompressed_sha256' in entry: + require(sha256(gzip.decompress(path.read_bytes())).hexdigest() == entry['decompressed_sha256'], + 'Payload pin: ' + name) + adaptations = json.loads((PACKAGE / 'ADAPTATIONS.json').read_text()) + for name, entry in adaptations.items(): + require(digest(PACKAGE / 'checks' / name) == entry['adapted_sha256'], 'Checker pin: ' + name) + require(digest(PACKAGE / entry['frozen_source']) == entry['source_sha256'], 'Original checker pin: ' + name) + out.mkdir(parents=True) + env = dict(os.environ, OPENBLAS_NUM_THREADS='1', OMP_NUM_THREADS='1', VECLIB_MAXIMUM_THREADS='1') + steps = [ + ('borrowed_core', PACKAGE / 'checks/borrowed_core.py', out / 'borrowed-core.json'), + ('carried_alias', PACKAGE / 'checks/carried_alias.py', out / 'carried-alias.json'), + ('relative_storage', PACKAGE / 'checks/relative_storage.py', out / 'relative-storage.json'), + ('clean_storage', PACKAGE / 'checks/clean_storage.py', out / 'clean-storage.json'), + ('unit_query', PACKAGE / 'checks/unit_query.py', out / 'unit-query.json'), + ('masked_producer', MASKED / 'emit_masked_query.py', out / 'masked-unit'), + ('masked_review', PACKAGE / 'checks/masked_query.py', out / 'masked-review.json'), + ('cleanup_producer', MASKED / 'emit_stream_cleanup.py', out / 'cleanup'), + ('cleanup_review', PACKAGE / 'checks/stream_cleanup.py', out / 'cleanup-review.json'), + ] + results = [] + for name, script, target in steps: + command = [sys.executable, '-I', '-B', str(script), '--out', str(target)] + start = time.monotonic() + result = subprocess.run(command, cwd=out, env=env, text=True, stdout=subprocess.PIPE, stderr=subprocess.STDOUT) + (out / (name + '.log')).write_text(result.stdout) + require(result.returncode == 0, name + ' failed; read ' + str(out / (name + '.log'))) + results.append({'name': name, 'returncode': result.returncode, 'seconds': round(time.monotonic() - start, 3)}) + print(result.stdout.strip(), flush=True) + frozen_mask = MASKED / 'masked-sum/MASKED-QUERY-PROGRAM.json.gz' + new_mask = out / 'masked-unit/MASKED-QUERY-PROGRAM.json.gz' + require(gzip.decompress(new_mask.read_bytes()) == gzip.decompress(frozen_mask.read_bytes()), + 'The regenerated masked word differs from the frozen payload.') + for name in ('STREAM-CLEANUP-WORD.json', 'STREAM-CLEANUP.json'): + require((out / 'cleanup' / name).read_bytes() == (MASKED / 'stream-cleanup' / name).read_bytes(), + 'The regenerated cleanup differs: ' + name) + for name, entry in pins.items(): + require(digest(PACKAGE / name) == entry['sha256'], 'A frozen input changed: ' + name) + report = { + 'status': 'PASS_BORROWED_CENTRE_STORAGE_PACKAGE', + 'python': platform.python_version(), 'platform': platform.platform(), + 'source_files_checked': len(pins), 'adapted_checkers_checked': len(adaptations), + 'source_pins_sha256': digest(PACKAGE / 'SOURCE-PINS.json'), + 'steps': results, 'masked_payload_matches': True, 'cleanup_bytes_match': True, + 'frozen_inputs_unchanged': True, 'processes_at_once': 1, + 'archive_scope': 'Exact extracted members are checked. Full historical archives are not replayed.', + 'scope': 'Two all-512 storage witnesses, a local masked unit, and a cleanup conditional on its aligned cut.', + 'not_checked': ['Retained native child kernels', 'Changed masked global owner schedule', + 'Mixed-frame target-code retirement', 'Recursive storage and precision', + 'Complete supplier or kappa calculation'], + } + (out / 'REPLAY.json').write_text(json.dumps(report, indent=2, sort_keys=True) + '\n') + print(report['status']) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/alias-upstream/DATA-PHASES.json b/research/borrowed-centre-storage/sources/alias-upstream/DATA-PHASES.json new file mode 100644 index 0000000000..d9a4f84211 --- /dev/null +++ b/research/borrowed-centre-storage/sources/alias-upstream/DATA-PHASES.json @@ -0,0 +1 @@ +{"cover_correction":{"complete_small_cover_checks":[{"n":1,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":1},{"n":2,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":2},{"n":3,"nonzero_full_kernel_corrections":0,"orthogonal_matrices":6},{"n":4,"nonzero_full_kernel_corrections":24,"orthogonal_matrices":48},{"n":5,"nonzero_full_kernel_corrections":600,"orthogonal_matrices":720}],"formula":"delta(g)_i = (weight(row_i(g))-1)/2 mod 2; apply X_delta(g) to EVERY final live stream in cover class g.","mandatory":true,"reason":"P_g C_all P_g^-1 = C_all X_delta(g) exactly. Orthogonality cancels all quadratic cross terms; both sides fix the uniform vector."},"global_phase_argument":"Every C_q and every linear address permutation fixes the uniform vector. 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580, + "prefix_clear": 16, + "primitive_bound_real_components": 202138, + "scalar_macros": 20089, + "unchanged_persistent_native_events": 5056 + } + }, + "corrected_program_payload_sha256": "fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877", + "dirty_correction_site": "After entry adapters and before A; targets and all helpers in H have canonical frame zero.", + "full_input_columns": 712, + "full_output_rows": 712, + "identities": [ + "R R^T = 56 I8", + "P = R^T R/4", + "P^2 = 14 P", + "J = I112-P", + "J^2+12J-13I112=0", + "J^-1 = (12I112+J)/13" + ], + "map": "(x,y,h,c) -> (x, y + J x - R^T H h/4, h, 0)", + "not_claimed": [ + "Native centre-free supplier admission", + "Free endpoint J^-1", + "Changed global controller", + "Kappa improvement" + ], + "ports": [ + 11, + 19, + 35, + 67, + 131, + 259, + 13, + 21, + 37, + 69, + 133, + 261, + 41, + 73, + 137, + 265, + 49, + 81, + 145, + 273, + 161, + 289, + 193, + 321, + 385, + 14, + 22, + 38, + 70, + 134, + 262, + 26, + 74, + 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Native endpoint mixing and a changed controller are not admitted.", + "status": "PASS_CENTRE_FREE_SCALAR_INTERFACE", + "target_endpoint": "T_q = F C_q^-1; distinct q have distinct frames", + "word_sha256": "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/circuit-interface/borrowed-centres/BORROWED-CENTRES-PROGRAMS.json.gz b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/circuit-interface/borrowed-centres/BORROWED-CENTRES-PROGRAMS.json.gz new file mode 100644 index 0000000000..18a2ef2151 Binary files /dev/null and b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/circuit-interface/borrowed-centres/BORROWED-CENTRES-PROGRAMS.json.gz differ diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/circuit-interface/borrowed-centres/INPUT-SOURCE-FAMILY-PROGRAMS.json.gz b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/circuit-interface/borrowed-centres/INPUT-SOURCE-FAMILY-PROGRAMS.json.gz new file mode 100644 index 0000000000..0a82886cc8 Binary files /dev/null and b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/circuit-interface/borrowed-centres/INPUT-SOURCE-FAMILY-PROGRAMS.json.gz differ diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/UNIT-REVIEW.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/UNIT-REVIEW.json new file mode 100644 index 0000000000..fc26df5073 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/UNIT-REVIEW.json @@ -0,0 +1,30 @@ +{ + "added_rank_one_children": 8, + "all_input_columns": 712, + "both_dyadic_inverse_orders": true, + "changed_output_rows": 8, + "correction_coefficients": 424, + "costs": { + "core": 202138, + "first_factor": 3648, + "second_factor": 3648, + "suffix": 3392, + "total": 212826 + }, + "exact_scalar_frame_checks": 21457, + "helper_rows_restored": 480, + "inherited_PJ_review_sha256": "149b4bbedafaca62fe414f2ff22035ece47fa1c203e1bdf0949e6d08045a17d5", + "native_mass": 5530, + "output_query": "L_A T=R", + "owned_private_rows_zero": 8, + "payload_sha256": "9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c", + "producer_pins": { + "UNIT-QUERY.json": "872c32ff5445a29862f8e5f7102a981948cd70b82f6439df421286dc343bde6b", + "UNIT-QUERY.md": "6f53e12ba5144c8eb9df5de7eb3e19e7e0c7c1e1119db3e8116a2e643662f3a7", + "emit_unit_query.py": "9092389471e70436018a67e29604e1987301ad82ca6b2da63aae4f8117c3eab8" + }, + "rejected_controls": 3, + "retained_native_climbs": 3486, + "scope": "Separate unit-query local word; native line and exterior phase evidence inherited byte-for-byte from the independent PJ review.", + "status": "PASS_UNIT_QUERY_REVIEW" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/UNIT-REVIEW.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/UNIT-REVIEW.md new file mode 100644 index 0000000000..d04d3af656 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/UNIT-REVIEW.md @@ -0,0 +1,59 @@ +# Independent review of the unit current-query encoder + +The separate unit-T component passes. It maps arbitrary logical inputs +`(l,v)` to `(l,T(l+v))`, and its selected output stores `R(l+v)` without +an odd division. It restores all 480 borrowed helper contents and clears +the eight owned private fields. Its cost is 212,826 real scalar +primitives. The native mass is 5,530, including eight new rank-one children. + +`UNIT-REVIEW.json` pins the separate producer inputs and the earlier +independent PJ review. The checker imports only that pinned independent +interpreter. It does not import or run either producer. + +Let `L=R_A pi_A`, `K_A=iota_A R_A^-1`, `R_U=R-L`, and `K_U=K-K_A`. +The actual selected minor gives `L K_A=I`. Both operators `K_A R_U` +and `K_U L` have square zero. Thus + + T=(I-K_U L)(I+K_A R_U), + T^-1=(I-K_A R_U)(I+K_U L) + +are inverses over the dyadic coefficient ring. Expansion gives + + T-J=K_A(2R-L), L T=R. + +The first identity has only A output rows. It permits the same eight +positive-line normalization steps as the PJ word. No native operation +is needed on the other 104 target rows. The checker rebuilds the actual +matrices from R, checks both inverse orders, and verifies all 424 signed +unit coefficients of the final correction. + +The independent interpreter replays every event of the 26,531-event +word on all 712 formal input columns. It checks every scalar frame and +every retained native frame change. Reversing the two prefix factors, +omitting the second factor, or omitting the suffix changes the map; all +three controls reject. The complete costs are 3,648 per prefix factor, +202,138 for the old core, and 3,392 for the suffix. + +The old core, eight line recipes, and final frame ledger are byte-equal +to the independently reviewed PJ packet. The 4,096 spatial native +columns and 72 full exterior phase cases from that review therefore +apply without a new phase assumption. Selected Y is FULL; ordinary Y +is `F C_q^-1`. The relative old-baseline code is `C_A T`, not `T`. +The dyadic inverse alone does not make a mixed-frame inverse free. + +Run: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/review_unit.py +``` + +Expected output: + +```text +PASS_UNIT_QUERY_REVIEW: all 712 columns, both inverse orders, and 212826 scalar +``` + +The review accepts this local word. It does not admit its new children +to owner intervals, remove the next-call selected phase, or establish a +complete controller, precision bound, supplier, or kappa improvement. +The original PJ review and all producer bytes remain unchanged. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/review_query.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/review_query.py new file mode 100644 index 0000000000..1ce6da5fa2 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/review_query.py @@ -0,0 +1,270 @@ +#!/usr/bin/env python3 +"""Review the current-query word without a producer import.""" + +from collections import Counter +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import gzip +import importlib.util +import json + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +REPO = LANES.parents[2] +SOURCE = LANES / "paired-package-review/upstream-followthrough-20261015/current-query-encoder" +PINS = { + "CURRENT-QUERY.md": "9aedb1bf0c1a71fb0d8adef219ea3f1c31b4712d5813eb370f47bb5220d95214", + "emit_current_query.py": "d2c45cd05f8ad0e27573226a012e183c5b0ecec4b49655beeb1f9fdd13fb3184", + "CURRENT-QUERY.json": "efd485a0593468ca06fecced730a1cdd460868fe91d9d979b29f823dd4a94592", +} +PAYLOAD = "75d7f083af8d5687b971aa0c012e201b922f5473a4080869b581b9ba8c195fea" +CORE = "fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877" +WORD = "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" +GAUGE = "560aa5476d01bd6a2a595ad44b0f2e7999c6435c388882173fba000af4ea035f" +A = (0, 7, 20, 27, 36, 46, 57, 111) + + +def need(test, message): + if not test: + raise RuntimeError(message) + + +def read(path, pin, compressed=False): + raw = path.read_bytes() + if compressed: + raw = gzip.decompress(raw) + need(sha256(raw).hexdigest() == pin, "Input pin: " + str(path)) + return raw + + +def plus(dst, src, coefficient=F(1)): + for k, value in src.items(): + total = dst.get(k, F(0)) + coefficient * value + if total: + dst[k] = total + else: + dst.pop(k, None) + + +def product(a, b): + result = [] + for row in a: + out = {} + for j, value in row.items(): + plus(out, b[j], value) + result.append(out) + return result + + +def deserialize(rows): + return [{int(j): F(c) for j, c in row.items()} for row in rows] + + +def slot(wire): + need(wire[0] in ("L", "C"), "Known register namespace") + index = wire[1] + (704 if wire[0] == "C" else 0) + need(0 <= index < 712, "Actual register bound") + return index + + +def gate_info(event): + gate = event[1] + op, dst = gate[0], slot(gate[1]) + src = slot(gate[2]) if op in ("add", "copy") else None + c = F(*gate[3:5]) if op == "add" else F(*gate[2:4]) if op == "scale" else F(1) + need(src is None or src != dst, "Distinct scalar operands") + return op, dst, src, c + + +def price(event): + op, _, _, c = gate_info(event) + if op in ("copy", "clear"): + return 2 + n, d = abs(c.numerator), c.denominator + need(n and not d & (d - 1), "Dyadic coefficient") + if op == "scale": + need(not n & (n - 1), "Unit SCALE") + return 2 * (abs(n.bit_length() - d.bit_length()) + (c < 0)) + need(op == "add", "Known scalar gate") + return 2 * (3 + n.bit_length() - 1 + n.bit_count() + d.bit_length() - 1) + + +def replay(events, word): + state = [{j: F(1)} for j in range(712)] + frames = word["start"][:] + [None] * 8 + scalar_checks, native_checks = 0, 0 + for event in events: + kind = event[0] + if kind == "scalar": + op, dst, src, c = gate_info(event) + frame = event[2] + if op == "clear": + need(dst >= 704, "Only owned scratch is cleared") + state[dst], frames[dst] = {}, frame + else: + need(frames[dst] == frame, "Scalar target frame") + need(src is None or frames[src] == frame, "Scalar source frame") + if op == "add": + plus(state[dst], state[src], c) + elif op == "scale": + state[dst] = {j: value * c for j, value in state[dst].items() if value * c} + elif op == "copy": + need(dst >= 704, "A new COPY uses owned scratch") + state[dst] = dict(state[src]) + else: + raise RuntimeError("Unknown scalar operation") + scalar_checks += 1 + elif kind == "climb": + dst, old, new = event[2:5] + need(frames[dst] == old, "Retained native entry frame") + frames[dst] = new + native_checks += 1 + elif kind == "intrinsic_line": + dst, p = slot(event[1]), event[2] + need(p in A and dst == 112 + p and frames[dst] == word["final"][dst], + "The entire arbitrary selected target receives its line") + need(event[3] == 1, "Positive selected normalization") + frames[dst] = 1 + else: + need(kind in ("phase", "adapter", "residual_adapter"), "Known retained event") + return state, frames, scalar_checks, native_checks + + +def bit_map(rows, value): + return sum(((row & value).bit_count() & 1) << j for j, row in enumerate(rows)) + + +def gaussian_mul(a, b): + return (a[0] * b[0] - a[1] * b[1], a[0] * b[1] + a[1] * b[0]) + + +def native_checks(events, word): + alpha, beta = (F(1, 2), F(1, 2)), (F(1, 2), F(-1, 2)) + checks, controls = 0, 0 + for event in events: + p, recipe = event[2], event[4] + q = word["ports"][p] + need(recipe["rank"] == 1, "One selected line child") + for side in ("left", "right"): + r = recipe[side] + need(not r["offset"] and not r["phase"] and not any(r["linear_Z4"] + r["quadratic_rows"]), + "Both maps have exact zero phase") + left, right = recipe["left"]["matrix_rows"], recipe["right"]["matrix_rows"] + for x in range(512): + y = bit_map(right, x) + actual = {bit_map(left, y): alpha, bit_map(left, y ^ 1): beta} + need(actual == {x: alpha, x ^ q: beta}, "Exact spatial positive line kernel") + # Multiply C_q by the inherited C_q^-1 at both spatial addresses. + stay = tuple(a + b for a, b in zip(gaussian_mul(alpha, beta), gaussian_mul(beta, alpha))) + move = tuple(a + b for a, b in zip(gaussian_mul(alpha, alpha), gaussian_mul(beta, beta))) + need(stay == (1, 0) and move == (0, 0), "The normalized hole has no phase or translation") + checks += 1 + # The inverse sign leaves translation X_q at the mixed endpoint. + need(q != 0 and bit_map(left, bit_map(right, 0) ^ 1) == q, "Wrong-sign translation control") + controls += 1 + return checks, controls + + +def phase_views(gauge, phases): + checks = 0 + for p in A: + rec = phases["recipes"][p] + q = rec["q"] + basis = tuple([q] + rec["idle_children"][0]["orthogonal_axes"][:8]) + for s, item in enumerate(rec["stage_alignment"]): + route = gauge.rho(basis, s) + need(gauge.act(route, q) == q, "Current owner view fixes the selected line") + need(item["exit_X"] == item["exit_Y"], "Exact X/Y exterior output translations agree") + full = gauge.UNIT[:8 * s + 9] + hole = gauge.phase(full, (q,)) + normalized = gauge.phase(tuple(full) + (q,), (q,)) + need(normalized == gauge.phase(full), "Full 73-axis phase polynomial after the line") + wrong = gauge.phase(full, (q, q)) + need(wrong != gauge.phase(full), "The wrong sign is not silently a FULL field") + need(hole != normalized, "The old hole frame differs from the new selected frame") + checks += 1 + return checks + + +def main(): + for name, pin in PINS.items(): + read(SOURCE / name, pin) + data = json.loads(read(SOURCE / "CURRENT-QUERY-PROGRAM.json.gz", PAYLOAD, True)) + core = json.loads(read(LANES / "circuit-interface/CENTRE-FREE-PROGRAMS.json.gz", CORE, True))["forward"] + raw_word = read(REPO / "work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz", WORD) + word = json.loads(gzip.decompress(raw_word)) + gauge_path = LANES / "coherent-port/stage-gauge-20261015/check_gauge.py" + read(gauge_path, GAUGE) + spec = importlib.util.spec_from_file_location("own_stage_geometry", gauge_path) + gauge = importlib.util.module_from_spec(spec) + spec.loader.exec_module(gauge) + sources, phases = gauge.load() + r = deserialize(sources["circuit-interface/INTERFACE.json"]["R"]) + need(data["selected_A"] == list(A) and deserialize(data["R"]) == r, "Actual R and selected minor") + eye = [{p: F(1)} for p in range(112)] + k = [{j: row[p] / 4 for j, row in enumerate(r) if p in row} for p in range(112)] + ka = [dict(row) if p in A else {} for p, row in enumerate(k)] + la = [{p: c for p, c in row.items() if p in A} for row in r] + ru = [{p: c for p, c in row.items() if p not in A} for row in r] + need(product(la, ka) == [{j: F(1)} for j in range(8)], "Actual selected dual") + need(product(r, k) == [{j: F(14)} for j in range(8)], "Actual full Gram") + j, ji, p, pi = [[dict(row) for row in eye] for _ in range(4)] + for row, factor in ((j, F(-1)), (ji, F(-1, 13))): + for n, v in enumerate(product(k, r)): + plus(row[n], v, factor) + for row, factor in ((p, 1), (pi, -1)): + for n, v in enumerate(product(ka, ru)): + plus(row[n], v, factor) + target, inv = product(p, j), product(ji, pi) + need(product(target, inv) == product(inv, target) == eye, "Both rational inverse orders") + need(product(la, target) == [{p: -13 * c for p, c in row.items()} for row in r], "Exact full sum-query coefficient") + correction = [dict(row) for row in target] + for n, row in enumerate(j): + plus(correction[n], row, -1) + for name, value in (("P", p), ("J", j), ("PJ", target), ("S", correction), ("inverse_PJ", inv)): + need(deserialize(data[name]) == value, "Rebuilt ordered matrix: " + name) + need({n for n, row in enumerate(correction) if row} == set(A), "Only selected targets change") + need(data["retained_core"] == core, "Every retained event is byte-equal") + program = data["prefix"] + core + data["native_normalizations"] + data["suffix"] + need(data["program"] == program and len(program) == 27397, "Exact event order") + output, frames, scalars, climbs = replay(program, word) + expected = [{n: F(1)} for n in range(712)] + for n, row in enumerate(target): + expected[112 + n] = dict(row) + plus(expected[112 + n], {112 + q: c for q, c in row.items()}) + expected[704:] = [{} for _ in range(8)] + need(output == expected, "All 712 formal input columns, including arbitrary scratch") + need(frames == data["output_frames"], "The exact mixed endpoint frame ledger") + need(all(frames[112 + p] == (1 if p in A else word["final"][112 + p]) for p in range(112)), + "Selected FULL and unselected hole outputs") + pre, _, _, _ = replay(data["prefix"], word) + need(not pre[704] and all(pre[n] == {n: 1} for n in list(range(112)) + list(range(224, 704))), + "The prefix clears C0 and preserves all source and borrowed inputs") + kernels, bad_signs = native_checks(data["native_normalizations"], word) + view_checks = phase_views(gauge, phases) + j_prefix_length = sum(3 + len(row) + sum(mode in col for col in k) for mode, row in enumerate(r)) + no_p, _, _, _ = replay(data["prefix"][:j_prefix_length] + core + data["native_normalizations"] + data["suffix"], word) + no_correction, _, _, _ = replay(data["prefix"] + core + data["native_normalizations"], word) + need(no_p != expected and no_correction != expected, "Both omitted-data-factor controls fail") + costs = {name: sum(price(e) for e in events if e[0] == "scalar") + for name, events in (("prefix", data["prefix"]), ("core", core), ("suffix", data["suffix"]), ("total", program))} + need(costs == {"prefix": 10880, "core": 202138, "suffix": 4932, "total": 217950}, "Independent scalar recount") + profile = Counter(e[5] for e in core if e[0] == "climb") + profile[1] += 8 + need(dict(profile) == {1: 2420, 2: 418, 3: 432, 4: 142, 5: 82}, "Complete local child profile") + result = dict(status="PASS_CURRENT_QUERY_REVIEW", producer_pins=PINS, payload_sha256=PAYLOAD, + core_sha256=CORE, own_geometry_sha256=GAUGE, fields=712, arbitrary_helpers=480, + owned_private_zeros=8, exact_scalar_frame_checks=scalars, unchanged_native_climbs=climbs, + positive_line_spatial_columns=kernels, wrong_line_sign_controls=bad_signs, + omitted_data_factor_controls=2, + full_73_axis_exterior_view_cases=view_checks, costs=costs, + native_profile=dict(profile), native_mass=sum(r * n for r, n in profile.items()), + scope="Exact local word and phase/view composition; no new shared-owner or next-call admission.") + (HERE / "REVIEW.json").write_text(json.dumps(result, indent=2, sort_keys=True) + "\n") + print("PASS_CURRENT_QUERY_REVIEW: 712 columns, 4096 native columns, and 72 exterior phase cases") + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/review_unit.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/review_unit.py new file mode 100644 index 0000000000..6ff7d2bc07 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/review_unit.py @@ -0,0 +1,105 @@ +#!/usr/bin/env python3 +"""Review the separate unit-query word with the independent interpreter.""" + +from fractions import Fraction as F +from hashlib import sha256 +from pathlib import Path +import gzip +import importlib.util +import json + + +HERE = Path(__file__).resolve().parent +spec = importlib.util.spec_from_file_location("independent_query_review", HERE / "review_query.py") +review = importlib.util.module_from_spec(spec) +spec.loader.exec_module(review) +review.need(sha256((HERE / "review_query.py").read_bytes()).hexdigest() == + "85166891ae71ca6847a778c74e8395ddb70bc3387ef42279f765bf27726e8824", "Independent interpreter pin") +PINS = { + "UNIT-QUERY.md": "6f53e12ba5144c8eb9df5de7eb3e19e7e0c7c1e1119db3e8116a2e643662f3a7", + "emit_unit_query.py": "9092389471e70436018a67e29604e1987301ad82ca6b2da63aae4f8117c3eab8", + "UNIT-QUERY.json": "872c32ff5445a29862f8e5f7102a981948cd70b82f6439df421286dc343bde6b", +} +PAYLOAD = "9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c" + + +def main(): + need, plus, mul = review.need, review.plus, review.product + for name, pin in PINS.items(): + review.read(review.SOURCE / name, pin) + data = json.loads(review.read(review.SOURCE / "UNIT-QUERY-PROGRAM.json.gz", PAYLOAD, True)) + old = json.loads(review.read(review.SOURCE / "CURRENT-QUERY-PROGRAM.json.gz", review.PAYLOAD, True)) + word = json.loads(gzip.decompress(review.read(review.REPO / "work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz", review.WORD))) + interface = json.loads(review.read(review.LANES / "circuit-interface/INTERFACE.json", + "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3")) + r = review.deserialize(interface["R"]) + eye = [{p: F(1)} for p in range(112)] + k = [{j: row[p] / 4 for j, row in enumerate(r) if p in row} for p in range(112)] + ka = [dict(row) if p in review.A else {} for p, row in enumerate(k)] + ku = [dict(row) if p not in review.A else {} for p, row in enumerate(k)] + la = [{p: c for p, c in row.items() if p in review.A} for row in r] + ru = [{p: c for p, c in row.items() if p not in review.A} for row in r] + j = [dict(row) for row in eye] + for p, row in enumerate(mul(k, r)): + plus(j[p], row, -1) + x, y = mul(ka, ru), mul(ku, la) + need(not any(mul(x, x)) and not any(mul(y, y)), "Both square-zero factors") + upper, lower, upper_i, lower_i = [[dict(row) for row in eye] for _ in range(4)] + for p in range(112): + plus(upper[p], x[p]); plus(upper_i[p], x[p], -1) + plus(lower[p], y[p], -1); plus(lower_i[p], y[p]) + target, inverse = mul(lower, upper), mul(upper_i, lower_i) + need(mul(target, inverse) == mul(inverse, target) == eye, "Both exact dyadic inverse orders") + need(mul(la, target) == r, "Full current query without odd division") + correction = [dict(row) for row in target] + for p, row in enumerate(j): + plus(correction[p], row, -1) + expected_correction = mul(ka, [{p: 2 * row.get(p, F(0)) - la[m].get(p, F(0)) + for p in row if 2 * row.get(p, F(0)) - la[m].get(p, F(0))} + for m, row in enumerate(r)]) + need(correction == expected_correction, "Selected completion formula") + need({p for p, row in enumerate(correction) if row} == set(review.A), "Only eight selected output rows") + need(sum(map(len, correction)) == 424 and {c for row in correction for c in row.values()} == {F(-1), F(1)}, + "Actual signed-unit suffix coefficients") + for name, value in (("T", target), ("inverse_T", inverse), ("S", correction)): + need(review.deserialize(data[name]) == value, "Actual matrix: " + name) + for name in ("retained_core", "native_normalizations", "output_frames", "physical_input", "physical_output"): + need(data[name] == old[name], "Unchanged native or frame source: " + name) + need(data["selected_A"] == list(review.A), "Actual selected minor") + program = data["prefix"] + data["retained_core"] + data["native_normalizations"] + data["suffix"] + need(data["program"] == program and len(program) == 26531, "Exact emitted chronology") + expected = [{p: F(1)} for p in range(712)] + for p, row in enumerate(target): + expected[112 + p] = dict(row) + plus(expected[112 + p], {112 + q: c for q, c in row.items()}) + expected[704:] = [{} for _ in range(8)] + output, frames, scalars, climbs = review.replay(program, word) + need(output == expected and frames == data["output_frames"], "All 712 columns and mixed output frames") + half = len(data["prefix"]) // 2 + need(half == 472, "Two complete prefix factors") + controls = ( + data["prefix"][half:] + data["prefix"][:half] + data["retained_core"] + data["native_normalizations"] + data["suffix"], + data["prefix"][:half] + data["retained_core"] + data["native_normalizations"] + data["suffix"], + data["prefix"] + data["retained_core"] + data["native_normalizations"], + ) + for events in controls: + actual, _, _, _ = review.replay(events, word) + need(actual != expected, "Wrong factor or missing correction is rejected") + costs = {name: sum(review.price(e) for e in events if e[0] == "scalar") + for name, events in (("first_factor", data["prefix"][:half]), ("second_factor", data["prefix"][half:]), + ("core", data["retained_core"]), ("suffix", data["suffix"]), ("total", program))} + need(costs == dict(first_factor=3648, second_factor=3648, core=202138, suffix=3392, total=212826), + "Independent complete scalar count") + result = dict(status="PASS_UNIT_QUERY_REVIEW", producer_pins=PINS, payload_sha256=PAYLOAD, + inherited_PJ_review_sha256="149b4bbedafaca62fe414f2ff22035ece47fa1c203e1bdf0949e6d08045a17d5", + all_input_columns=712, exact_scalar_frame_checks=scalars, retained_native_climbs=climbs, + helper_rows_restored=480, owned_private_rows_zero=8, output_query="L_A T=R", + changed_output_rows=8, correction_coefficients=424, both_dyadic_inverse_orders=True, + rejected_controls=3, costs=costs, added_rank_one_children=8, native_mass=5530, + scope="Separate unit-query local word; native line and exterior phase evidence inherited byte-for-byte from the independent PJ review.") + (HERE / "UNIT-REVIEW.json").write_text(json.dumps(result, indent=2, sort_keys=True) + "\n") + print("PASS_UNIT_QUERY_REVIEW: all 712 columns, both inverse orders, and 212826 scalar") + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/CLEAN-IDLE-STORAGE-REVIEW.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/CLEAN-IDLE-STORAGE-REVIEW.json new file mode 100644 index 0000000000..8af79447c7 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/CLEAN-IDLE-STORAGE-REVIEW.json @@ -0,0 +1,58 @@ +{ + "added_fields": 0, + "added_native_children": 0, + "alias_review_sha256": "e5823787516ad6abbc1e2b0a6b2c3d53422ac56bca462dcfeb6abd6b25569ac3", + "all_14336_owner_locations_restored": true, + "arbitrary_query_donor_and_target_checked": true, + "archive_sha256": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", + "candidate_range": [ + 3608, + 10675 + ], + "checker_sha256": "34583755f14fab094d46546a1cb08da7bde59748c0306cbe06c0b487154f6e06", + "complete_intervals": 64, + "complete_schedule_events": 482, + "complete_symbolic_location_replay": true, + "complex_ADDs": 3072, + "complex_sign_SCALES": 1024, + "exact_bridge_read_replacements": 384, + "excluded": [ + "Common-frame query access", + "Storage through F", + "Source-code restoration", + "A complete global controller", + "Finite address, control, and precision invoice", + "Kappa improvement" + ], + "globally_disjoint_source_donor_pairs": 512, + "native_phase_scope": "The exact selected-Y query is moved by an unsigned raw swap at the same physical cover class and address; no native phase or chart is changed.", + "negative_controls": [ + "missing_swap_sign", + "old_bridge_read", + "actual_idle_event_owner", + "duplicate_donor" + ], + "old_live": 14336, + "old_physical": 14826, + "original_event_counts": { + "bridges": 144, + "helper_occurrences": 69120, + "idle_events": 160, + "local_calls": 144, + "terminal": 16, + "terminal_Y_translations": 16 + }, + "physical_swaps": 1024, + "placement": "Each capture is a complete sweep after B and before the next event; each erase is a complete sweep before F.", + "producer_executed": false, + "producer_imported": false, + "scalar_real_primitives_subtotal": 26624, + "selected_query_rows": 512, + "source_pins": { + "CLEAN-IDLE-STORAGE.json": "294a8f4ac078cebb2545834f307628ca1578c635ca10d6c9d309900997d86ae1", + "CLEAN-IDLE-STORAGE.md": "1015479b667d70be74121c0abd347cbd8fd72938d932b544675b2236dd18864a", + "check_clean_idle_storage.py": "cd08ffebe6ef9f70b0f20a991c1173153bc9b40ec67009f62e4b1d725a3188bb" + }, + "status": "PASS_INDEPENDENT_ALL512_CLEAN_IDLE_STORAGE", + "template_sha256": "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/CLEAN-IDLE-STORAGE-REVIEW.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/CLEAN-IDLE-STORAGE-REVIEW.md new file mode 100644 index 0000000000..005d824731 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/CLEAN-IDLE-STORAGE-REVIEW.md @@ -0,0 +1,131 @@ +# Review of clean query storage in old idle fields + +The strict post-backward storage construction passes independent review. +All 512 query rows have distinct old donor fields. No donor has an +original use during its storage interval. The changed bridge reads use +the exact saved query. The second swaps restore every donor and the +original coded source state before the next forward call. + +The reviewed proof is +[CLEAN-IDLE-STORAGE.md](../source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.md), +SHA256 +`1015479b667d70be74121c0abd347cbd8fd72938d932b544675b2236dd18864a`. +Its receipt has SHA256 +`294a8f4ac078cebb2545834f307628ca1578c635ca10d6c9d309900997d86ae1`. +The independent checker does not import or execute the producer. + +## Exact storage operation + +After the complete backward call, selected Y contains the query q in +its actual physical output frame. Let a be the arbitrary old donor +value. The emitted four-operation word is an unsigned exchange: + +```text +Y += donor +donor -= Y +Y += donor +donor = -donor +``` + +It sends (q,a) to (a,q) at the same physical cover class and address. +No equality of logical frames is needed for this complete raw swap. +No native operator or phase changes. If an original bridge reads q, +the modified bridge reads the donor. A second unsigned swap sends +(a,q) back to (q,a). + +The checker verifies the whole swap/read/swap word on three independent +formal inputs: q, a, and the bridge target. This gives the original +target minus q and restores the two swapped fields. It imposes no +independence assumption on their values in an actual invocation. + +## Independent schedule replay + +The checker reads the pinned selected archive and constructs each +event's owner-use set directly. It covers all 482 events, including: + +- all 144 local calls and all 69,120 helper occurrences; +- all 160 idle events, including zero-rank remainders and translations; +- all 144 bridges; +- both terminal events in all 16 replicas; +- the final all-live events. + +It recomputes every eligible donor set. The donor has no event use in +the post-B, pre-F interval. It is also outside both 704-owner endpoint +calls and outside all 512 query-source families. The independent count +ranges from 3,608 to 10,675 eligible fields per interval. Every selected +donor is in its actual eligible set. All 512 donors are distinct, and +the 512 source-donor pairs are globally disjoint. + +The selected bridge acts by + +```text +X_dst += coefficient * X_src +Y_src -= coefficient * Y_dst. +``` + +The original source code at commit +`bce54fb3f895cbe5cd4c0eb477c3afeed100190f`, in +`research/owner-boundary-audit/verify.py`, function `scalar_columns`, +confirms this convention. The independent checker expands the exact +bridge operations from the selected template. It checks that each +parked selected Y has one read and no write in stages one, three, and +five, and no use in stage seven. All 384 replacements retain the +original target family, coefficient -1, cover class, and address. + +The checker then follows the physical location of every one of the +14,336 original logical owners through the entire changed schedule. +Capture changes this location by an exchange. An unchanged local, +idle, terminal, or final event must see every used owner in its +original location. Each changed bridge read must follow the recorded +location of its original source. All bridge targets stay in their +original locations. Erase reverses the exchange. Every check passes, +and all owner locations are original at the end. + +This is a symbolic event-level proof. It does not treat a native or +scalar event as an identity. It proves that each event receives the +same physical values as before, with the stated read substitutions. +The local source-query identity and its exact original-complex phase +are bound to the separate independent carried-query alias review. + +Capture and erase are complete cover sweeps. Capture is after the +whole backward sweep. Erase is before the whole forward sweep. The +construction does not insert partial swaps among local invocations. + +## Price and limits + +The 1,024 physical swaps contain 3,072 complex unit ADDs and 1,024 +complex sign SCALEs. Their real primitive subtotal is 26,624. There +is no added native child, productive field, or physical field. Live +stock remains 14,336, and physical stock remains 14,826. + +The complete address, control, precision, and logger bills remain +separate. The saved query retains its original post-B selected-Y +physical frame. The result does not normalize it to a common frame, +carry it through the next forward core, invert the source code, or +complete a data controller. A use during storage must preserve the +query or restore it before swapback. + +## Reproduction + +Run from the workspace root: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/history-encoding/review_clean_idle_storage.py +``` + +The command exits with status zero and prints: + +```text +PASS_INDEPENDENT_ALL512_CLEAN_IDLE_STORAGE +``` + +The negative controls reject an omitted swap sign, the unchanged old +bridge source, an owner used by the actual idle event, and a duplicate +donor. + +The checker is +[review_clean_idle_storage.py](review_clean_idle_storage.py), SHA256 +`34583755f14fab094d46546a1cb08da7bde59748c0306cbe06c0b487154f6e06`. +The receipt is +[CLEAN-IDLE-STORAGE-REVIEW.json](CLEAN-IDLE-STORAGE-REVIEW.json), SHA256 +`46a66234f6aeb9f98a056301c7652c2dab5577719152a393930f5e1f463d6909`. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/RELATIVE-OWNER-REUSE-REVIEW.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/RELATIVE-OWNER-REUSE-REVIEW.json new file mode 100644 index 0000000000..b42edfd865 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/RELATIVE-OWNER-REUSE-REVIEW.json @@ -0,0 +1,86 @@ +{ + "actual_schedule_events": 482, + "additional_fields": 0, + "additional_native_children": 0, + "all_tensor_multiplicities": true, + "arbitrary_background_lemma_reviewed": true, + "archive_sha256": "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", + "capture_ADDs": 27136, + "checker_sha256": "e8d6a3f7e55a6346b5df09fca532a5ff610866692474fc542976b64f207c74cc", + "complete_donor_histories": 512, + "complete_eight_row_cohorts": 64, + "dependency_pins": { + "lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json": "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2", + "lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json": "e5823787516ad6abbc1e2b0a6b2c3d53422ac56bca462dcfeb6abd6b25569ac3", + "root/BORROWED-CENTRES-REVIEW.json": "04cffe488bce2b3f8c58a3e3428921052375bdcf1e0206c20de8e568a63d9b1f" + }, + "erase_ADDs": 512, + "exact_phase_coefficients": 1383424, + "excluded": [ + "Clean query access", + "Local C alias", + "A dirty-cache read protocol", + "Restoration of source G", + "A full data controller", + "Finite address, control, precision, and recursive invoice", + "Kappa improvement" + ], + "full_73_variable_phase_polynomials": 512, + "globally_distinct_old_owners": 512, + "helper_and_source_alias_reviews_bound": true, + "negative_controls": [ + "extra_translation", + "inverse_cover_order", + "omitted_rank4_job", + "duplicate_owner" + ], + "not_replayed": [ + "The original complete local scalar programs and native helper normalizers; their reviewed arbitrary-input contracts are retained.", + "Candidate enumeration and matching search; the full 512-row distinct-owner witness is checked directly." + ], + "old_live": 14336, + "old_physical": 14826, + "original_helper_slots_checked": 69120, + "original_idle_suffixes_checked": 7526, + "producer_executed": false, + "producer_imported": false, + "producer_pins": { + "RELATIVE-REUSE.json": "1d6d6c598022c7e83920a00575aeb5b3866b1ed1327718d389f659b057659acb", + "RELATIVE-REUSE.md": "4ecbde9c53fd9888e5d0f2c90ef38dc006ff48ff7f9efb6b8339e87b03c6c3aa", + "check_relative_reuse.py": "723d2d11abadcbfb569b1291fd3dc01a385e57ceecfa26124fdadec93726f204" + }, + "required_placement": "All cover classes capture before each B core sweep; all erase before each F core sweep.", + "scalar_phase_one": true, + "scalar_real_primitives_subtotal": 274432, + "selected_existing_native_mass": 4096, + "selected_existing_native_profile": { + "4": 66, + "8": 479 + }, + "selected_owner_sides": { + "X": 348, + "Y": 164 + }, + "selected_path_lengths": { + "1": 479, + "2": 33 + }, + "selected_paths": 512, + "source_alias_window_event_incidences": 2512, + "source_members": { + "phases": { + "path": "candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json", + "sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + "template": { + "path": "candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz", + "sha256": "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760" + }, + "word": { + "path": "candidate/strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz", + "sha256": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + } + }, + "status": "PASS_INDEPENDENT_ALL512_RELATIVE_DIRTY_CACHE", + "unequal_entry_ranks": 499 +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/RELATIVE-OWNER-REUSE-REVIEW.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/RELATIVE-OWNER-REUSE-REVIEW.md new file mode 100644 index 0000000000..2cd8488f31 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/RELATIVE-OWNER-REUSE-REVIEW.md @@ -0,0 +1,143 @@ +# Review of all 512 relative dirty-cache paths + +The frozen construction passes independent review. All 512 query rows +have distinct old owner families. Each selected interval contains only +complete original helper jobs. Those jobs give the required native +advance after the stated cover permutation. The arbitrary old field +value is restored after the query is removed. + +The reviewed source is +[RELATIVE-REUSE.md](../source-domain/carried-owner-reuse/RELATIVE-REUSE.md), +with SHA256 +`4ecbde9c53fd9888e5d0f2c90ef38dc006ff48ff7f9efb6b8339e87b03c6c3aa`. +The source receipt has SHA256 +`1d6d6c598022c7e83920a00575aeb5b3866b1ed1327718d389f659b057659acb`. +The review does not import or execute the producer. + +## Representation and restoration + +Let the old physical owner value at capture be a. Let T be its complete +native map through the interval. The source query has physical values +q0 and q1 at the two cuts. If the known cover permutation M satisfies +T M q0 = M q1, the capture, old jobs, and erase have the exact effect + +```text +a -> a + M q0 -> T a + T M q0 -> T a. +``` + +This identity holds for every a. It also holds when a or q0 depends on +other input fields. The complete helper contract acts by the stated +native map on every helper input. Its other complete outputs do not +depend on that helper input. Thus a complete helper job can process +the dirty cache without a separate assumption about data independence. + +The query alias has relative map P_g F_E P_g^-1 at source cover class +g. The actual donor interval has owner-chart map +T0 = product C_v, where the eight v are distinct columns of its actual +orthonormal chart. The certificate supplies an orthogonal map U with +U(E) equal to those eight columns. Thus + +```text +T0 = P_U F_E P_U^-1. +``` + +For donor class h, use source class g = h U. The resulting cover +permutation is (M q)(h) = q(h U). The physical array address does not +change. It follows that T M = M T_query. No equality of absolute entry +frames is used. In fact, 499 of the 512 selected donor entry ranks +differ from their query entry ranks. + +This proof uses the exact positive original-C factors. For a binary +vector v, the Fourier phase exponent of C_v is parity(v dot z). +Modulo four, this function has only linear and quadratic terms: + +```text +parity(v dot z) = sum_i v_i z_i - 2 sum_(j= 480, "Only final all-live events remain") + used = set(range(14336)) + event_uses.append(used) + require(counts == dict(local_calls=144, helper_occurrences=69120, idle_events=160, + bridges=144, terminal=16, terminal_Y_translations=16), "Complete original use census") + + chosen = receipt["selected"] + require([x["role"] for x in chosen] == list(range(512)), "All source rows exactly once") + donors = {x["donor_family"] for x in chosen} + require(len(donors) == 512 and donors.isdisjoint(query_sources), "All donor-source pairs are disjoint") + require({x["source_family"] for x in chosen} == query_sources, "Every selected query source") + capture, erase, expected_changes = defaultdict(list), defaultdict(list), [] + candidate_counts, operations = [], Counter() + candidate_sets = {} + for cohort, stated in enumerate(receipt["windows"]): + r, s = divmod(cohort, 4) + stage = (1, 3, 5, 7)[s] + back, front = stages[r, stage], stages[r, stage+1] + start, end = places[back["time"]]+1, places[front["time"]] + require(back["orientation"] == "backward" and front["orientation"] == "forward" + and back["pair"] == front["pair"], "Actual B-to-F window") + require((stated["window"], stated["replica"], stated["stage"], stated["capture_before_position"], stated["erase_before_position"]) + == (cohort, r, stage, start, end), "Complete post-B and pre-F cuts") + endpoint = event_uses[start-1] | event_uses[end] + busy = set().union(*event_uses[start:end]) + candidates = set(range(14336)) - endpoint - busy - query_sources + candidate_sets[cohort] = candidates + candidate_counts.append(len(candidates)) + require(len(candidates) == stated["candidate_count"] and len(endpoint) == stated["excluded_endpoint_owner_count"], "Independent candidate census") + require(stated["original_pair"] == back["pair"], "Original query pair") + local_donors = [] + for k, p in enumerate(PORTS): + row = chosen[8*cohort+k] + source, donor = row["source_family"], row["donor_family"] + require(source == family(r, back["pair"], 1, p) and donor in candidates, "Chosen source and strictly idle donor") + require(row["window"] == cohort and row["source_port"] == p, "Source row assignment") + require(row["physical_cover_map"] == "g to g" and row["physical_native_address_map"] == "identity", "Physical swap address") + local_donors.append(donor) + capture[start].append(row) + erase[end].append(row) + use_positions = [] + for pos in range(start, end): + if source not in event_uses[pos]: + continue + require(pos in bridges, "A source has an unhandled non-bridge use") + relevant = [op for op in bridges[pos] if source in op[:2]] + require(len(relevant) == 1 and relevant[0][1] == source and relevant[0][0] != source, + "The parked source is read only") + target, _, gain = relevant[0] + require(gain == -1, "Selected plus-bridge sign") + expected_changes.append(dict(position=pos, replica=r, stage=stage, port=p, + old_source_family=source, new_source_family=donor, target_family=target, + coefficient=gain, cover_and_native_address="unchanged")) + use_positions.append(pos) + require(use_positions == row["original_source_read_positions"] and len(use_positions) == int(stage != 7), "Every original source use is handled") + for name in ("capture_program", "erase_program"): + program = row[name] + require(execute(program, [source, donor]) == [[0, 1], [1, 0]], "Literal unsigned physical swap") + operations.update(op[0] for op in program) + require(len(program) == 4 and all(op[-1] in (-1, 1) for op in program), "Literal unit-scalar swap invoice") + require(local_donors == stated["donor_families"], "Cohort donor list") + require(expected_changes == receipt["bridge_read_replacements"] and len(expected_changes) == 384, "All changed read targets and coefficients") + + # Follow the physical location of every original logical owner. + location = list(range(14336)) + emitted_changes = {(r["position"], r["old_source_family"]): r for r in expected_changes} + observed_changes = set() + for pos in range(len(events)+1): + for row in erase[pos]: + a, b = row["source_family"], row["donor_family"] + require((location[a], location[b]) == (b, a), "Expected parked field locations") + location[a], location[b] = a, b + for row in capture[pos]: + a, b = row["source_family"], row["donor_family"] + require((location[a], location[b]) == (a, b), "Capture pair is available") + location[a], location[b] = b, a + if pos == len(events): + break + if pos in bridges: + for target, source, gain in bridges[pos]: + require(location[target] == target, "No bridge writes a parked field") + if location[source] != source: + key = pos, source + require(key in emitted_changes and emitted_changes[key]["new_source_family"] == location[source] + and emitted_changes[key]["target_family"] == target + and emitted_changes[key]["coefficient"] == gain, "Bridge follows the exact stored query") + observed_changes.add(key) + else: + require((pos, source) not in emitted_changes, "Unnecessary or wrong read replacement") + else: + require(all(location[f] == f for f in event_uses[pos]), "An unchanged original event touches a parked field") + require(observed_changes == set(emitted_changes) and location == list(range(14336)), "Complete symbolic schedule restores every owner location") + require(min(candidate_counts) == receipt["minimum_candidates"] == 3608 + and max(candidate_counts) == receipt["maximum_candidates"] == 10675, "Candidate range") + require(operations == {"ADD": 3072, "SCALE": 1024}, "Full literal scalar macro count") + real_cost = 8*operations["ADD"] + 2*operations["SCALE"] + require(real_cost == receipt["added_real_scalar_primitives"] == 26624, "Full swap scalar subtotal") + require(receipt["new_native_children"] == receipt["new_productive_families"] == receipt["new_physical_families"] == 0, "No new native or owner count") + + first = chosen[0] + a, b = first["source_family"], first["donor_family"] + target = 20000 + changed_read = [["ADD", target, b, -1]] + unchanged_read = [["ADD", target, a, -1]] + correct = execute(first["capture_program"]+changed_read+first["erase_program"], [a, b, target]) + require(correct == [[1, 0, 0], [0, 1, 0], [-1, 0, 1]], "Arbitrary query, donor, and bridge-target identity") + occupied = next(iter(event_uses[receipt["windows"][0]["capture_before_position"]])) + controls = [ + reject(lambda: require(execute(first["capture_program"][:-1], [a, b]) == [[0, 1], [1, 0]], "Missing swap sign"), "missing_swap_sign"), + reject(lambda: require(execute(first["capture_program"]+unchanged_read+first["erase_program"], [a, b, target]) == correct, "Parked donor leaks through old source"), "old_bridge_read"), + reject(lambda: require(occupied in candidate_sets[0], "An actual event uses this donor"), "actual_idle_event_owner"), + reject(lambda: require(len({r["donor_family"] for r in chosen[:-1]} | {b}) == 512, "Repeated donor"), "duplicate_donor"), + ] + result = dict(status="PASS_INDEPENDENT_ALL512_CLEAN_IDLE_STORAGE", producer_imported=False, producer_executed=False, + source_pins=PINS, archive_sha256=digest.hexdigest(), template_sha256=member_hash, + alias_review_sha256=alias_pin, checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + original_event_counts=dict(counts), complete_schedule_events=482, complete_intervals=64, + selected_query_rows=512, globally_disjoint_source_donor_pairs=512, candidate_range=[3608, 10675], + exact_bridge_read_replacements=384, complete_symbolic_location_replay=True, + all_14336_owner_locations_restored=True, arbitrary_query_donor_and_target_checked=True, + physical_swaps=1024, complex_ADDs=3072, complex_sign_SCALES=1024, scalar_real_primitives_subtotal=real_cost, + added_native_children=0, added_fields=0, old_live=14336, old_physical=14826, + native_phase_scope="The exact selected-Y query is moved by an unsigned raw swap at the same physical cover class and address; no native phase or chart is changed.", + placement="Each capture is a complete sweep after B and before the next event; each erase is a complete sweep before F.", + negative_controls=controls, + excluded=["Common-frame query access", "Storage through F", "Source-code restoration", "A complete global controller", "Finite address, control, and precision invoice", "Kappa improvement"]) + (LANE/"CLEAN-IDLE-STORAGE-REVIEW.json").write_text(json.dumps(result, indent=2, sort_keys=True)+"\n") + print(result["status"]) + print(json.dumps({k: result[k] for k in ("selected_query_rows", "exact_bridge_read_replacements", "scalar_real_primitives_subtotal")}, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/review_relative_owner_reuse.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/review_relative_owner_reuse.py new file mode 100644 index 0000000000..33124427a2 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/history-encoding/review_relative_owner_reuse.py @@ -0,0 +1,308 @@ +"""Review the selected dirty-cache paths from the original owner records.""" + +from collections import Counter, defaultdict +from hashlib import sha256 +from pathlib import Path +import gzip +import json +import tarfile + + +LANE = Path(__file__).resolve().parent +CAMPAIGN = LANE.parents[1] +REPO = CAMPAIGN.parents[1] +SOURCE = CAMPAIGN / "lanes/source-domain/carried-owner-reuse" +ARCHIVE = REPO / "worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz" +PORTS = [21, 37, 47, 76, 81, 87, 92, 110] +PINS = { + "RELATIVE-REUSE.json": "1d6d6c598022c7e83920a00575aeb5b3866b1ed1327718d389f659b057659acb", + "RELATIVE-REUSE.md": "4ecbde9c53fd9888e5d0f2c90ef38dc006ff48ff7f9efb6b8339e87b03c6c3aa", + "check_relative_reuse.py": "723d2d11abadcbfb569b1291fd3dc01a385e57ceecfa26124fdadec93726f204", +} +MEMBERS = { + "template": ("candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz", "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760"), + "word": ("candidate/strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz", "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219"), + "phases": ("candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json", "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa"), +} +DEPENDENCIES = { + "lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json": "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2", + "lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json": "e5823787516ad6abbc1e2b0a6b2c3d53422ac56bca462dcfeb6abd6b25569ac3", + "root/BORROWED-CENTRES-REVIEW.json": "04cffe488bce2b3f8c58a3e3428921052375bdcf1e0206c20de8e568a63d9b1f", +} + + +def require(value, message): + if not value: + raise ValueError(message) + + +def pinned(path, pin): + raw = path.read_bytes() + require(sha256(raw).hexdigest() == pin, "Source pin: " + str(path)) + return raw + + +def family(replica, pair, side, port): + return 896 * replica + 224 * pair + 112 * side + port + + +def mask(indices): + require(len(indices) == len(set(indices)), "Repeated native axis") + return sum(1 << i for i in indices) + + +def apply(columns, value): + result = 0 + for i, column in enumerate(columns): + if value >> i & 1: + result ^= column + return result + + +def phase_polynomial(vectors, translation=0): + # Parity(v.z) is sum(v_i z_i)-2 sum(v_i v_j z_i z_j) modulo four. + linear = [2 * ((translation >> i) & 1) for i in range(73)] + quadratic = [[0] * i for i in range(73)] + for vector in vectors: + support = [i for i in range(73) if vector >> i & 1] + for i in support: + linear[i] = (linear[i] + 1) % 4 + for j in support: + if j < i: + quadratic[i][j] = (quadratic[i][j] - 2) % 4 + return linear, quadratic + + +def reject(operation, label): + try: + operation() + except ValueError: + return label + raise ValueError("Negative control did not fail: " + label) + + +def main(): + sources = {name: pinned(SOURCE / name, pin) for name, pin in PINS.items()} + receipt = json.loads(sources["RELATIVE-REUSE.json"]) + premises = {name: json.loads(pinned(CAMPAIGN / name, pin)) for name, pin in DEPENDENCIES.items()} + alias = premises["lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json"] + alias_review = premises["lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json"] + helper_review = premises["root/BORROWED-CENTRES-REVIEW.json"] + require(alias_review["status"] == "PASS_INDEPENDENT_CARRIED_QUERY_ALIAS", "Exact alias review") + require(alias_review["pins"]["producer_receipt"] == DEPENDENCIES["lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json"], "Alias review pin") + require(all(v["arbitrary_helpers_restored"] == 480 and v["input_columns"] == 712 + for v in helper_review["checks"].values()), "Arbitrary-helper output independence premise") + digest = sha256() + with ARCHIVE.open("rb") as stream: + for block in iter(lambda: stream.read(1 << 20), b""): + digest.update(block) + require(digest.hexdigest() == "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6", "Selected archive pin") + original = {} + with tarfile.open(ARCHIVE) as archive: + for key, (name, pin) in MEMBERS.items(): + raw = archive.extractfile(name).read() + require(sha256(raw).hexdigest() == pin, "Selected member pin") + original[key] = json.loads(gzip.decompress(raw) if name.endswith(".gz") else raw) + template, word, recipes = original["template"], original["word"], original["phases"]["recipes"] + require(template["cover"] == "all matrices d in O(73,2), in lexicographic row order", "Full orthogonal cover") + require(template["live"] == 14336 and template["physical"] == 14826, "Original stocks") + selected = receipt["selected"] + require([row["role"] for row in selected] == list(range(512)), "All query roles exactly once") + owners = {row["owner_family"] for row in selected} + require(len(owners) == 512 and max(owners) < 14336, "Distinct old live owners") + + bases, pending = {}, {} + for p, recipe in enumerate(recipes): + basis = [recipe["q"]] + recipe["idle_children"][0]["orthogonal_axes"][:8] + [1 << i for i in range(9, 73)] + require(len(basis) == 73 and all((a & b).bit_count() % 2 == int(i == j) + for i, a in enumerate(basis) for j, b in enumerate(basis)), "Actual orthonormal owner chart") + bases[p] = basis + for c, child in enumerate(recipe["idle_children"]): + pending[p, c] = [basis.index(v) for v in child["orthogonal_axes"]] + require(len(pending[p, c]) == child["rank"], "Pending child rank") + + calls, events = template["calls"], template["execution_schedule"] + require(len(calls) == 144 and len(events) == 482, "Complete selected schedule") + places = {e["time"]: pos for pos, e in enumerate(events) if e["kind"] == "local_cover_sweep"} + stages = {(c["replica"], c["stage"]): c for c in calls} + child_places, child_roles = {}, {} + for pos, event in enumerate(events): + if event["kind"] == "idle_cover_sweep": + for side, child in enumerate(event["child_indices"]): + role = event["pair"], side + require(child not in child_roles or child_roles[child] == role, "Stable idle child role") + child_roles[child] = role + child_places[event["replica"], child] = pos + + jobs, scalar_uses = defaultdict(list), defaultdict(list) + used_slots = set() + for index, slot in enumerate(template["hosting"]["pooled_slots"]): + p, c, width = slot["port"], slot["child"], slot["width"] + f, time, reg = slot["family"], slot["time"], 224 + slot["helper"] + axes = pending[p, c][slot["offset"]:slot["offset"]+width] + spectators = [i for i in range(73) if i not in axes][:9-width] + route = [3, c, slot["offset"]] if width == 9 else [4, c, slot["offset"], width, spectators] + require(f == family(slot["owner_replica"], *child_roles[c], p), "Actual helper family") + require(calls[time]["owners"][reg] == [f, route], "Literal helper route and spectator list") + require(width == len(axes) == len(word["frames"][word["final"][reg]]) - len(word["frames"][word["start"][reg]]), "Complete helper native width") + require((time, reg) not in used_slots, "Repeated helper slot") + used_slots.add((time, reg)) + if f in owners: + jobs[f].append(dict(kind="helper", index=index, position=places[time], axes=axes, translation=0)) + require(used_slots == {(t, r) for t in range(144) for r in range(224, 704)}, "Every original helper slot") + for index, suffix in enumerate(template["idle_children"]): + f, p, c = suffix["family"], suffix["port"], suffix["child"] + require(f == family(suffix["replica"], *child_roles[c], p), "Actual idle family") + axes = pending[p, c][suffix["pending_offset"]:] + require(len(axes) == suffix["rank"], "Complete idle remainder") + if f in owners: + jobs[f].append(dict(kind="suffix", index=index, position=child_places[suffix["replica"], c], axes=axes, translation=0)) + for pos, event in enumerate(events): + r, kind = event.get("replica"), event["kind"] + if kind == "local_cover_sweep": + call = calls[event["time"]] + require(call["time"] == event["time"] and len({a[0] for a in call["owners"]}) == 704, "Local distinct-owner contract") + for side in range(2): + for p in range(112): + f = family(r, call["pair"], side, p) + require(call["owners"][112*side+p] == [f, [1, call["stage"], p]], "Named data route") + if f in owners: + scalar_uses[f].append(pos) + jobs[f].append(dict(kind="data", index=event["time"], position=pos, + axes=list(range(8*call["stage"]+1, 8*call["stage"]+9)), + translation=recipes[p]["idle_children"][0]["translation_after"] if call["stage"] == 0 else 0)) + elif kind == "bridge": + for pair in (event["src"], event["dst"]): + for side in range(2): + for p in range(112): + f = family(r, pair, side, p) + if f in owners: + scalar_uses[f].append(pos) + elif kind in ("terminal", "terminal_Y_translations"): + for f in owners: + if f // 896 == r: + scalar_uses[f].append(pos) + elif kind == "idle_cover_sweep": + for c in event["child_indices"]: + for p in range(112): + f = family(r, *child_roles[c], p) + if f in owners: + jobs[f].append(dict(kind="idle_translation", index=c, position=pos, axes=[], + translation=recipes[p]["idle_children"][c]["translation_after"])) + + # Reconstruct each complete donor history without the producer's scan. + for f in owners: + row = sorted(jobs[f], key=lambda v: (v["position"], v["kind"] == "idle_translation")) + state, delta = int((f // 112) % 2 == 0), 0 + for item in row: + advance = mask(item["axes"]) + require(state & advance == 0, "An owner axis is already present") + state |= advance + delta ^= item["translation"] + item["after_axis_mask"] = state + require(state == (1 << 73)-1-int((f // 112) % 2 == 1), "Complete donor endpoint frame") + require(delta == recipes[f % 112]["idle_children"][0]["translation_after"], "Complete donor endpoint phase") + jobs[f] = row + + profile, sides, unequal, polynomial_checks = Counter(), Counter(), 0, 0 + path_lengths, source_window_events = Counter(), 0 + for row in selected: + c, k = divmod(row["role"], 8) + r, stage = c // 4, (1, 3, 5, 7)[c % 4] + begin, end = (places[stages[r, s]["time"]] for s in (stage, stage+1)) + f = row["owner_family"] + require((row["cohort"], row["replica"], row["stage"], row["start"], row["end"], row["source_port"]) + == (c, r, stage, begin, end, PORTS[k]), "Actual capture and erase boundaries") + require(not any(begin <= p < end for p in scalar_uses[f]), "A donor has a scalar use while it holds a query") + path = [item for item in jobs[f] if begin <= item["position"] < end] + require(path == row["jobs"] and all(item["kind"] == "helper" for item in path), "All and only complete intervening helper jobs") + indices = sorted(i for item in path for i in item["axes"]) + require(len(indices) == len(set(indices)) == 8 and indices == row["target_axis_indices"], "Exactly eight new interval axes") + actual_vectors = [bases[f % 112][i] for item in path for i in item["axes"]] + require([bases[f % 112][i] for i in indices] == row["target_axes"], "Native axes from actual port chart") + prior = [item for item in jobs[f] if item["position"] < begin] + entry = prior[-1]["after_axis_mask"] if prior else int((f // 112) % 2 == 0) + require(entry == row["entry_axis_mask"] and entry.bit_count() == row["owner_entry_rank"], "Actual donor entry rank") + require(row["query_entry_rank"] == 8*stage, "Query entry rank") + unequal += entry.bit_count() != 8*stage + side = "Y" if (f // 112) % 2 else "X" + require((row["owner_replica"], row["owner_pair"], row["owner_side"], row["owner_port"]) + == (f // 896, (f % 896) // 224, side, f % 112), "Owner identity") + sides[side] += 1 + path_lengths[len(path)] += 1 + profile.update(len(item["axes"]) for item in path) + U, inv = row["U_columns"], row["U_inverse_columns"] + require(len(U) == len(inv) == 73, "Full cover map dimensions") + require(all(apply(U, inv[i]) == apply(inv, U[i]) == 1 << i for i in range(73)), "Both inverse orders") + require(all((a & b).bit_count() % 2 == int(i == j) + for i, a in enumerate(U) for j, b in enumerate(U)), "Cover map is orthogonal") + fresh = list(range(8*stage+1, 8*stage+9)) + require(fresh == row["source_fresh_axis_indices"], "Exact source fresh block") + require(all(row[key] == 0 for key in ("interval_translation", "capture_translation", "erase_translation_owner_coordinates")), "Literal zero translation") + direct = phase_polynomial(actual_vectors) + mapped = phase_polynomial([U[i] for i in fresh]) + require(direct == mapped, "All coefficients of the full 73-variable Z4 phase") + polynomial_checks += 1 + 73 + 73*72//2 + + # Check the available selected-Y alias in the actual asynchronous window. + source_pair = stages[r, stage]["pair"] + source_y = {family(r, source_pair, 1, p) for p in range(112)} + require(f not in source_y, "Capture does not change its source") + if k == 0: + for event in events[begin+1:end]: + source_window_events += 1 + if event["kind"] == "local_cover_sweep": + require(not source_y & {o[0] for o in calls[event["time"]]["owners"]}, "An intervening call touches source Y") + elif event["kind"] == "idle_cover_sweep" and event["replica"] == r: + require(event["pair"] != source_pair, "An intervening idle sweep touches source Y") + elif event["kind"] == "bridge" and event["replica"] == r: + require(event["src"] != source_pair, "An intervening bridge writes source Y") + elif event["kind"] in ("terminal", "terminal_Y_translations"): + require(event["replica"] != r, "An intervening terminal touches source Y") + + require(dict(profile) == {8: 479, 4: 66} and sum(r*n for r, n in profile.items()) == 4096, "Already-paid native profile") + require(dict(sides) == {"X": 348, "Y": 164} and unequal == 499, "Representation count") + require(receipt["selected_existing_native_profile"] == {str(k): v for k, v in sorted(profile.items())}, "Receipt profile") + require(receipt["added_native_children"] == receipt["added_productive_families"] == receipt["added_physical_families"] == 0, "No new native or field claim") + require(alias["capture"]["ADDs"] == alias_review["capture_ADDs"] == 424 + and alias["capture"]["real_primitives"] == alias_review["capture_real_primitives"] == 4224, + "Normalized source query bill") + require(alias["unload"]["ADDs"] == 8 and alias["unload"]["real_primitives"] == 64, "Erase bill") + require(receipt["capture_ADDs"] == 64*424 and receipt["erase_ADDs"] == 64*8 + and receipt["added_scalar_real_primitives"] == 64*(4224+64), "Complete scalar subtotal") + + first = selected[0] + vectors = first["target_axes"] + wrong_phase = phase_polynomial(vectors, vectors[0]) + wrong_order = phase_polynomial([first["U_inverse_columns"][i] for i in first["source_fresh_axis_indices"]]) + two_jobs = next(row for row in selected if len(row["jobs"]) == 2) + controls = [ + reject(lambda: require(wrong_phase == phase_polynomial(vectors), "Changed native translation"), "extra_translation"), + reject(lambda: require(wrong_order == phase_polynomial(vectors), "Wrong cover conjugation order"), "inverse_cover_order"), + reject(lambda: require(sum(len(j["axes"]) for j in two_jobs["jobs"][:-1]) == 8, "Missing complete helper"), "omitted_rank4_job"), + reject(lambda: require(len({row["owner_family"] for row in selected[:-1]} | {first["owner_family"]}) == 512, "Duplicate old owner"), "duplicate_owner"), + ] + result = dict(status="PASS_INDEPENDENT_ALL512_RELATIVE_DIRTY_CACHE", producer_imported=False, producer_executed=False, + producer_pins=PINS, dependency_pins=DEPENDENCIES, source_members={k: dict(path=p, sha256=h) for k, (p, h) in MEMBERS.items()}, + archive_sha256=digest.hexdigest(), checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + actual_schedule_events=len(events), original_helper_slots_checked=len(used_slots), original_idle_suffixes_checked=len(template["idle_children"]), + complete_donor_histories=512, selected_paths=512, complete_eight_row_cohorts=64, globally_distinct_old_owners=512, + selected_owner_sides=dict(sides), unequal_entry_ranks=unequal, selected_path_lengths=dict(path_lengths), + selected_existing_native_profile=dict(sorted(profile.items())), selected_existing_native_mass=4096, + full_73_variable_phase_polynomials=512, exact_phase_coefficients=polynomial_checks, scalar_phase_one=True, + source_alias_window_event_incidences=source_window_events, helper_and_source_alias_reviews_bound=True, + required_placement="All cover classes capture before each B core sweep; all erase before each F core sweep.", + capture_ADDs=27136, erase_ADDs=512, scalar_real_primitives_subtotal=274432, + old_live=14336, old_physical=14826, additional_native_children=0, additional_fields=0, + arbitrary_background_lemma_reviewed=True, all_tensor_multiplicities=True, negative_controls=controls, + not_replayed=["The original complete local scalar programs and native helper normalizers; their reviewed arbitrary-input contracts are retained.", + "Candidate enumeration and matching search; the full 512-row distinct-owner witness is checked directly."], + excluded=["Clean query access", "Local C alias", "A dirty-cache read protocol", "Restoration of source G", "A full data controller", "Finite address, control, precision, and recursive invoice", "Kappa improvement"]) + output = LANE / "RELATIVE-OWNER-REUSE-REVIEW.json" + output.write_text(json.dumps(result, indent=2, sort_keys=True)+"\n") + print(result["status"]) + print(json.dumps({k: result[k] for k in ("selected_paths", "selected_existing_native_profile", "exact_phase_coefficients", "scalar_real_primitives_subtotal")}, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/interface-proof/INPUT-COMPENSATION-NATIVE-REVIEW.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/interface-proof/INPUT-COMPENSATION-NATIVE-REVIEW.json new file mode 100644 index 0000000000..414e9b2d24 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/interface-proof/INPUT-COMPENSATION-NATIVE-REVIEW.json @@ -0,0 +1,499 @@ +{ + "all_tensor_sizes": "The exact base identities tensor; scalar coefficients remain unchanged.", + "archive_sha256": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "base": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "canonical_frame_is_not_intrinsic_line_ports": [ + { + "basis": 1, + "port": 0 + }, + { + "basis": 1, + "port": 1 + }, + { + "basis": 1, + "port": 2 + }, + { + "basis": 1, + "port": 3 + }, + { + "basis": 1, + "port": 4 + }, + { + "basis": 1, + "port": 5 + }, + { + "basis": 1, + "port": 6 + }, + { + "basis": 1, + "port": 7 + }, + { + "basis": 1, + "port": 8 + }, + { + "basis": 1, + "port": 9 + }, + { + "basis": 1, + "port": 10 + }, + { + "basis": 1, + "port": 11 + }, + { + "basis": 1, + "port": 12 + }, + { + "basis": 1, + "port": 13 + }, + { + "basis": 1, + "port": 14 + }, + { + "basis": 1, + "port": 15 + }, + { + "basis": 1, + "port": 16 + }, + { + "basis": 1, + "port": 17 + }, + { + "basis": 1, + "port": 18 + }, + { + "basis": 1, + "port": 19 + }, + { + "basis": 1, + "port": 20 + }, + { + "basis": 1, + "port": 21 + }, + { + "basis": 1, + "port": 22 + }, + { + "basis": 1, + "port": 23 + }, + { + "basis": 1, + "port": 24 + }, + { + "basis": 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+ "basis": 1, + "port": 108 + }, + { + "basis": 1, + "port": 109 + }, + { + "basis": 1, + "port": 110 + }, + { + "basis": 1, + "port": 111 + } + ], + "checker_sha256": "b7a44f62d943f2d9886fe01c2c19ee8817c66c92b73f18d81934c6a5a5573ef7", + "core_payload_sha256": "fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877", + "exterior_scope": "The local maps act as identity on a common spectator factor. Different role-specific exterior frames require separate alignment.", + "input_copy_recipe": "P_A F_1 P_A^-1, with first column of A equal to q_p", + "input_named_frames": { + "X_p": "C_qp", + "Y_p": "I" + }, + "member_pins": { + "CANONICAL-WORD.json.gz": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", + "CLIFFORD-RECIPES.json": "d0768f2164d5f64a2fdbec422f1cfde4e400818792f1904ca541958377243731", + "LOCAL-PROGRAMS.json.gz": "241fde27d4e43f5a9cb6b128f9f76c5131a53d09f0371676163f914d0b0fef3a", + "RESIDUAL-ADAPTERS.json": "383f40aadd00a4ac700dfd0d4c22d6c6c0be9a9863116e4d69c7acd23bafae0c" + }, + "monomial_address_maps_per_active_row": 2, + "native_children_per_active_row": 1, + "native_interpreter_sha256": "087ad4cc683e5caf1f2a8cd62d5f65c9b4dde2636593b417f8f5099a29875c8b", + "phase_only_controls": 112, + "positive_line_columns": 57344, + "private_scope": "Clear C0 before each row read and after each native copy. The original core retains its private-output-zero contract.", + "scope": "Actual input native premise and explicit rank-one recipe. A complete changed-cut literal word and its finite local invoice are reviewed separately.", + "source_adapter_columns": 57344, + "source_entry_adapter_first_event": 7402, + "sparse_W_active_rows": [ + 0, + 7, + 20, + 21, + 27, + 36, + 37, + 46, + 47, + 57, + 76, + 81, + 87, + 92, + 110, + 111 + ], + "sparse_W_extra_native_rank": 16, + "status": "PASS_ACTUAL_INPUT_COMPENSATION_NATIVE_PREMISE", + "wrong_line_sign_controls": 112 +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/interface-proof/INPUT-COMPENSATION-NATIVE-REVIEW.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/interface-proof/INPUT-COMPENSATION-NATIVE-REVIEW.md new file mode 100644 index 0000000000..ab329b66cf --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/interface-proof/INPUT-COMPENSATION-NATIVE-REVIEW.md @@ -0,0 +1,191 @@ +# Input preparation for the source-code family + +The changed-cut construction has a valid native input interface. It can +move the target compensation to the input of the retained backward word. +It needs one rank-one child for each nonzero target row. The sparse +complement section has at most 16 such rows. The full emitted word and +its finite local cost need a separate literal review. + +## Exact interface + +Use the accepted original-complex clean-J backward word. Its named +physical inputs are + +\[ +X_p=C_{q_p}x_p,\qquad Y_p=y_p. +\] + +The operator is the positive line operator + +\[ +C_q=\frac{(1+i)I+(1-i)X_q}{2}. +\] + +It is not an unspecified representative of the line spanned by \(q\). +The old word first applies 7,401 frame-zero events. Its first source +old_to_new adapter is at event 7,402. The added preparation must occur +before every retained event, while each \(Y_p\) has the input value \(y_p\). + +For a row \(a_p\) of a scalar matrix \(A\), do these steps: + +1. Clear the existing private field C0. +2. Form \(a_p y\) in C0 from the physical Y inputs. +3. Apply \(C_{q_p}\) to C0. +4. Add C0 to the physical X field \(p\). +5. Clear C0. + +The physical addition is + +\[ +C_{q_p}x_p+C_{q_p}(a_p y)=C_{q_p}(x_p+a_p y). +\] + +Thus the logical input changes by \(x\mapsto x+Ay\). No helper input is +assumed to be zero. The first CLEAR removes any old C0 value. The other +private fields retain the original word's private-output-zero contract. +This statement does not supply a seven-carried-field contract. + +Choose an invertible binary matrix \(E_p\) whose first column is \(q_p\). +The exact native recipe is + +\[ +C_{q_p}=P_{E_p}F_1P_{E_p}^{-1}. +\] + +It uses one coordinate child and two finite address maps. The identity +has no omitted scalar phase. The independent checker uses an explicit +basis extension to construct \(E_p\). It checks every one of the 512 +Gaussian columns for each of the 112 actual ports against the displayed +two-term formula. It also checks all 112 actual source-entry adapters +on all 512 columns. Each adapter sends this positive line operator to +the exact canonical start frame. + +The checks reject both an inverse-line substitution and a scalar phase +change. A separate control records basis inputs where the canonical line +frame and the intrinsic \(C_q\) are different. The preparation cannot +replace one by the other without its adapter. + +## The changed-cut identity + +Let \(\mathcal A\) be the complete retained prefix to the source-code cut, +and let \(\mathcal T\) be its suffix. The exact accepted identities are + +\[ +\Phi\mathcal A=\operatorname{selector}_Y,\qquad +\mathcal T P= +\begin{bmatrix}-JZ\\ Z\\0\end{bmatrix}. +\] + +They hold on all original X, Y, helper, and private input columns. In +particular, the first identity does not depend on X. For arbitrary +dyadic \(B,D\), set + +\[ +A=JZ(B+D). +\] + +First make the input preparation \(x\mapsto x+Ay\). Then run the original +prefix. The same cut read still gives the original \(y\), even though X +has changed. Form all required coordinates of \(By\) before any source +injection, unless the ordered response test permits a serial schedule. +Inject \(PBy\), then run the retained suffix. No late compensation C is +used. The complete logical output is + +\[ +\begin{aligned} +x'&=x+JZ(B+D)y-Jy-JZBy + =x-Jy+JZDy,\\ +y'&=(I+ZB)y. +\end{aligned} +\] + +The helper endpoint responses are unchanged. The same retained native +end frames and helper wrappers therefore give the original complete +physical helper jobs on arbitrary inputs. + +There is no recovery read in this schedule. In particular, its execution +does not need \(M^{-1}\), where \(M=I+BZ\). The condition + +\[ +M\in\operatorname{GL}_8(\mathbb Z[1/2]) +\] + +is still required when the result is used as an invertible source code +over the dyadic ring. It is equivalent to invertibility of \(I+ZB\). +If it fails, the displayed linear map may still have a literal +implementation with CLEAR, but it is not a reversible encoding of +arbitrary source data. This review does not remove that requirement. + +## Sparse section and local cost + +For the separately reviewed complement section \(W\), + +\[ +RW=0,\qquad JW=W. +\] + +Its nonzero rows are exactly the 16 ports in its two disjoint selected +minors. Thus \(JW(B+D)\) has support in those 16 rows. For the complement +exchange parameter, the active rows must be checked in the emitted +word; the resulting input-copy upper bound is 16 rank-one children. +This replaces the prior 16 rank-two late copies. It adds no new array. +The unchanged clean-J mass is 5,522, so this upper bound gives mass +5,538 before any further change. + +Let \(n\) be the number of nonzero rows of \(JZ(B+D)\), and let \(F\) +denote the existing real-component ADD bound summed over the entries +of a matrix. A direct row construction has input scalar cost + +\[ +12n+F(JZ(B+D)). +\] + +The term \(12n\) pays for two private CLEAR operations and one unit ADD +per active row. A complete eight-coordinate snapshot and source +injection adds + +\[ +32+F(B\Phi)+F(P). +\] + +These are finite local scalar formulas. The exact emitter must check +each coefficient and any removed zero row. The two address maps per +input child remain in the finite native invoice. No global hosting, +precision, or complete supplier cost is inferred here. + +## A complete input placement + +The same native premise applies if the source update also moves to the +input. First prepare \(x\mapsto x+JZBy\). Then apply +\(y\mapsto (I+ZB)y\) at frame zero, and run the unchanged core. The result +is + +\[ +x'=x-Jy,\qquad y'=(I+ZB)y. +\] + +This order is necessary. The first preparation uses the old source. +It is not a late recovery of that source from its changed value. +The full-source update can use a serial one-buffer schedule when its +ordered response condition holds. A future literal example must check +that condition and its full arbitrary-state map. + +## Tensor and exterior factors + +Each checked base identity is an equality of complete complex +operators. It therefore tensors to every positive \(\lambda\). The +rank-one child becomes the native coordinate child on \(\lambda\) +coordinates. Its address maps act on each local nine-bit factor. +Scalar coefficients such as the entries of \(B,D\) are applied once; +they are not raised to the \(\lambda\)-th power. + +The local maps act as identity on a common spectator factor. Any common +exterior operator on that factor commutes with the input line copy and +with the local adapters. This proves the extension in an already aligned +local interface. Different exterior frames on different roles require +their own alignment proof. The result does not supply new routed query +access between separate global calls. + +The independent checker is review_input_compensation_native.py. +Its exact inputs, controls, and coverage are in +INPUT-COMPENSATION-NATIVE-REVIEW.json. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz new file mode 100644 index 0000000000..c6e876d8b4 Binary files /dev/null and b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz differ diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/check_restoration.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/check_restoration.py new file mode 100644 index 0000000000..8a3139c730 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/check_restoration.py @@ -0,0 +1,625 @@ +#!/usr/bin/env python3 +"""Check a QQ16 first-pair repair with 16 owned records. + +This file uses no predecessor executable. The two QQ16 calls are source +contracts. The new repair has a literal scalar, map, and native-line word. +""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from functools import lru_cache +import gzip +import hashlib +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +SOURCE = HERE / 'base/research/joint-query/certificate.json.gz' +SOURCE_SHA = 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7' +AXES = tuple(1 << i for i in range(73)) +OLD = tuple((v, 1) for v in AXES[:9]) +STEP = tuple((v, 1) for v in AXES[9:17]) +CURRENT = OLD + STEP + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def encoded(value): + return json.dumps(value, sort_keys=True, separators=(',', ':')).encode() + + +def digest(value): + return hashlib.sha256(value).hexdigest() + + +def action(g, v): + answer = 0 + while v: + bit = v & -v + answer ^= g[bit.bit_length() - 1] + v ^= bit + return answer + + +def product(g, h): + return tuple(action(g, v) for v in h) + + +@lru_cache(None) +def phase(terms): + linear, quadratic = [0] * 73, [0] * 73 + for vector, coefficient in terms: + bits = [i for i in range(73) if vector >> i & 1] + for i in bits: + linear[i] = (linear[i] + coefficient) % 4 + if coefficient % 2: + for j in bits: + if i < j: + quadratic[i] ^= 1 << j + return tuple(linear), tuple(quadratic) + + +def transport(terms, g, shift): + return tuple((action(g, v), c) for v, c in terms) + ((shift, 2),) + + +def lift(g, count): + linear, quadratic = phase(tuple((v, 1) for v in g[:count])) + need(not any(quadratic), 'nonzero quadratic frame residual') + delta = [((i < count) - linear[i]) % 4 for i in range(73)] + need(all(x % 2 == 0 for x in delta), 'odd frame residual') + return sum((x // 2) << i for i, x in enumerate(delta)) + + +def load(): + raw = SOURCE.read_bytes() + need(digest(raw) == SOURCE_SHA, 'certificate source pin') + source = json.loads(gzip.decompress(raw)) + R = [[Q(row.get(str(p), 0)) for p in range(112)] for row in source['R_rows']] + A, T, U = [tuple(source[key + '_ports']) for key in ('A', 'T', 'U')] + need(A == (0, 7, 20, 27, 36, 46, 57, 111), 'A ports') + need(T == (21, 37, 47, 76, 81, 87, 92, 110), 'T ports') + need(U == tuple(p for p in range(112) if p not in A + T), 'U ports') + for ports, norm in ((A, 4), (T, 4), (U, 48), (tuple(range(112)), 56)): + need(all(sum(R[i][p] * R[j][p] for p in ports) == norm * (i == j) + for i in range(8) for j in range(8)), 'centre Gram identity') + routes = {} + registry = source['map_registry'] + for stage in range(1, 9): + for p in range(112): + events = [e for e in source['programs']['F_' + str(stage)] + if e[0] == 'cover_map' and e[1] == ['L', p]] + need(len(events) >= 2, 'actual completed X route') + record = registry[events[0][2]] + g = tuple(record['owner_right_matrix_columns']) + need(product(g, g) == AXES, 'route involution') + need(all((g[i] & g[j]).bit_count() % 2 == (i == j) + for i in range(73) for j in range(73)), 'route orthogonality') + first = 8 * stage + 1 + basis = g[first:first + 8] + need(all(v < 512 for v in basis), 'local chart basis') + normals = [q for q in range(1, 512) + if all((q & v).bit_count() % 2 == 0 for v in basis)] + need(len(normals) == 1 and normals[0].bit_count() % 2 == 1, 'odd normal') + q = normals[0] + need(action(g, q) == q, 'normal fixed by route') + shift = record['payload_translation_at_identity_owner'] + need(shift == lift(g, 9 + 8 * stage), 'registered accumulated lift') + routes[stage, p] = dict(g=g, shift=shift, q=q, registry=events[0][2]) + if stage > 1: + need(q == routes[1, p]['q'], 'stage-independent port normal') + for p in A + T: + for sign in ('positive_', 'inverse_'): + need(source['native_line_recipes'][sign + str(p)]['label'] == routes[1, p]['q'], + 'native selected-line binding') + return source, R, A, T, U, routes + + +def rowadd(left, right, coefficient=Q(1)): + result = dict(left) + for key, value in right.items(): + v = result.get(key, Q(0)) + coefficient * value + if v: + result[key] = v + else: + result.pop(key, None) + return result + + +def rowscale(row, coefficient): + return {key: coefficient * value for key, value in row.items() if coefficient * value} + + +def route(row, letter): + if letter is None: + return dict(row) + result = {} + for (source, word), coefficient in row.items(): + reduced = word[1:] if word and word[0] == letter else (letter,) + word + key = source, reduced + result[key] = result.get(key, Q(0)) + coefficient + return {key: value for key, value in result.items() if value} + + +def query(bank, ports, R, stage): + answer = [] + for k in range(8): + row = {} + for p in ports: + if R[k][p]: + row = rowadd(row, route(bank[p], (stage, p) if stage else None), R[k][p]) + answer.append(row) + return answer + + +def inject(values, ports, R, stage): + answer = {} + for p in ports: + row = {} + for k in range(8): + if R[k][p]: + row = rowadd(row, values[k], R[k][p] / 4) + answer[p] = route(row, (stage, p) if stage else None) + return answer + + +def forward(x, y, R, A, T, U, stage=0): + f = query(x, range(112), R, stage) + c = query(x, T, R, stage) + target = inject(f, U + T, R, stage) + xx = {p: rowadd(x[p], target[p], -1) for p in U} + xx.update(inject(c, A, R, stage)) + xx.update({p: target[p] for p in T}) + yy = {p: rowadd(y[p], xx[p]) for p in U} + yy.update({p: rowadd(rowadd(x[p], y[p]), xx[p], -1) for p in A + T}) + return xx, yy + + +def backward(x, y, R, A, T, U, stage=1, future_stage=2): + u = dict(y) + future = inject(query(y, U + T, R, future_stage), A, R, future_stage) + for p in A: + u[p] = rowadd(u[p], future[p]) + a = query(x, T, R, stage) + b = query(u, range(112), R, stage) + k = inject(a, U, R, stage) + pt11 = inject([rowadd(b[j], a[j], 11) for j in range(8)], T, R, stage) + pt12 = inject([rowadd(b[j], a[j], 12) for j in range(8)], T, R, stage) + yy = {p: u[p] for p in A} + yy.update({p: rowadd(y[p], k[p]) for p in U}) + yy.update({p: rowadd(u[p], pt11[p], -1) for p in T}) + xx = {p: rowadd(x[p], y[p], -1) for p in U} + xx.update({p: rowadd(rowadd(x[p], y[p]), u[p], -1) for p in A}) + xx.update(pt12) + return xx, yy + + +def inverse_forward(x1, y1, R, A, T, U, stage=0): + f = query(x1, T, R, stage) + c = query(x1, A, R, stage) + correction = inject(f, U, R, stage) + x = {p: rowadd(x1[p], correction[p]) for p in U} + zquery = query(x, U, R, stage) + a = [rowadd(rowadd(f[j], zquery[j], -1), c[j], -1) for j in range(8)] + x.update(inject(a, A, R, stage)) + x.update(inject(c, T, R, stage)) + y = {p: rowadd(y1[p], x1[p], -1) for p in U} + y.update({p: rowadd(rowadd(x1[p], y1[p]), x[p], -1) for p in A + T}) + return x, y + + +def reduction_gates(matrix, ports): + matrix = deepcopy(matrix) + gates = [] + + def add(i, j, c): + if c: + matrix[i] = [a + c * b for a, b in zip(matrix[i], matrix[j])] + gates.append(dict(op='add', dst='X' + str(ports[i]), src='X' + str(ports[j]), c=str(c))) + + def scale(i, c): + if c != 1: + need(abs(c.numerator) & (abs(c.numerator) - 1) == 0 and + c.denominator & (c.denominator - 1) == 0, 'dyadic-unit pivot') + matrix[i] = [c * a for a in matrix[i]] + gates.append(dict(op='scale', field='X' + str(ports[i]), c=str(c))) + + for j in range(8): + pivot = next(i for i in range(j, 8) if matrix[i][j]) + if pivot != j: + add(j, pivot, Q(1)) + add(pivot, j, Q(-1)) + add(j, pivot, Q(1)) + scale(pivot, Q(-1)) + scale(j, 1 / matrix[j][j]) + for i in range(8): + if i != j: + add(i, j, -matrix[i][j]) + need(matrix == [[Q(i == j) for j in range(8)] for i in range(8)], 'minor reduction') + return gates + + +def inverse_gates(gates): + result = [] + for gate in reversed(gates): + e = dict(gate) + e['c'] = str(-Q(e['c']) if e['op'] == 'add' else 1 / Q(e['c'])) + result.append(e) + return result + + +def x_inverse_gates(R, A, T, U, routes, stage): + word = [] + + def emit(op, **fields): + word.append(dict(op=op, **fields)) + + if stage: + for p in range(112): + record = routes[stage, p] + emit('map', field='X' + str(p), letter=[stage, p], g=list(record['g']), shift=record['shift']) + reduction_A = reduction_gates([[R[k][p] for p in A] for k in range(8)], A) + reduction_T = reduction_gates([[R[k][p] for p in T] for k in range(8)], T) + word.extend(inverse_gates(reduction_A)) + word.extend(inverse_gates(reduction_T)) + for p in U: + for k in range(8): + if R[k][p]: + emit('add', dst='X' + str(p), src='X' + str(T[k]), c=str(R[k][p] / 4)) + for ap, tp in zip(A, T): + emit('add', dst='X' + str(ap), src='X' + str(tp), c='1') + emit('add', dst='X' + str(tp), src='X' + str(ap), c='-1') + emit('add', dst='X' + str(ap), src='X' + str(tp), c='1') + emit('scale', field='X' + str(tp), c='-1') + for k, p in enumerate(A): + for u in U: + if R[k][u]: + emit('add', dst='X' + str(p), src='X' + str(u), c=str(-R[k][u])) + emit('add', dst='X' + str(p), src='X' + str(T[k]), c='-1') + word.extend(reduction_A) + word.extend(reduction_T) + if stage: + for p in range(112): + record = routes[stage, p] + emit('map', field='X' + str(p), letter=[stage, p], g=list(record['g']), + shift=action(record['g'], record['shift'])) + return word + + +def make_word(R, A, T, U, routes, stage=0): + capture, repair = [], [] + + def emit(op, **fields): + repair.append(dict(op=op, **fields)) + + for p in A + T: + capture.append(dict(op='clear', field='R' + str(p), frame='old')) + capture.append(dict(op='add', dst='R' + str(p), src='X' + str(p), c='1')) + emit('stage', field='R' + str(p), sign=1, rank=8, stage=stage + 1) + for p in range(112): + emit('line', field='Y' + str(p), port=p, sign=1, rank=1) + for p in A + T: + emit('add', dst='Y' + str(p), src='X' + str(p), c='1') + emit('add', dst='X' + str(p), src='R' + str(p), c='1') + emit('add', dst='R' + str(p), src='X' + str(p), c='-1') + emit('add', dst='X' + str(p), src='R' + str(p), c='1') + emit('clear', field='R' + str(p), frame='identity') + for prefix, ports in (('Y', U), ('X', T)): + for p in ports: + record = routes[stage + 1, p] + emit('map', field=prefix + str(p), letter=[stage + 1, p], g=list(record['g']), shift=record['shift']) + emit('private_begin') + for k in range(8): + emit('clear', field='C', frame='current') + for p in T: + if R[k][p]: + emit('add', dst='C', src='X' + str(p), c=str(R[k][p])) + for p in U: + if R[k][p]: + emit('add', dst='Y' + str(p), src='C', c=str(-R[k][p] / 4)) + emit('clear', field='C', frame='identity') + emit('private_end') + for prefix, ports in (('X', T), ('Y', U)): + for p in ports: + record = routes[stage + 1, p] + emit('map', field=prefix + str(p), letter=[stage + 1, p], g=list(record['g']), + shift=action(record['g'], record['shift'])) + for p in U: + emit('add', dst='X' + str(p), src='Y' + str(p), c='1') + emit('add', dst='Y' + str(p), src='X' + str(p), c='-1') + repair.extend(x_inverse_gates(R, A, T, U, routes, stage)) + for p in A + T: + emit('add', dst='Y' + str(p), src='X' + str(p), c='-1') + for p in range(112): + emit('line', field='Y' + str(p), port=p, sign=-1, rank=1) + return capture, repair + + +def execute(word, rows, frames, routes, allowed_records, stage=0): + private = False + old = tuple((v, 1) for v in AXES[:9 + 8 * stage]) + current = tuple((v, 1) for v in AXES[:17 + 8 * stage]) + for at, e in enumerate(word): + op = e['op'] + if op == 'clear': + f = e['field'] + need(f in allowed_records or f == 'C', 'borrowed clear') + need(f != 'C' or private, 'private clear outside its owner body') + rows[f] = {} if not e.get('keep_dirty') else rows[f] + frames[f] = {'identity': (), 'old': old, 'current': current}[e['frame']] + elif op == 'add': + dst, src = e['dst'], e['src'] + need(phase(frames[dst]) == phase(frames[src]), 'ADD frame mismatch at ' + str(at)) + need('C' not in (dst, src) or private, 'scratch outside its owner body') + rows[dst] = rowadd(rows[dst], rows[src], Q(e['c'])) + elif op == 'scale': + c = Q(e['c']) + need(c and abs(c.numerator) & (abs(c.numerator) - 1) == 0 and + c.denominator & (c.denominator - 1) == 0, 'nonunit scale') + rows[e['field']] = rowscale(rows[e['field']], c) + elif op == 'line': + need(e['rank'] == 1 and e['sign'] in (-1, 1), 'line primitive') + frames[e['field']] += ((routes[1, e['port']]['q'], e['sign']),) + elif op == 'stage': + need(e['rank'] == 8 and e['sign'] in (-1, 1), 'stage primitive') + first = 8 * e['stage'] + 1 + frames[e['field']] += tuple((v, e['sign']) for v in AXES[first:first + 8]) + elif op == 'map': + f, letter = e['field'], tuple(e['letter']) + need(tuple(e['g']) == routes[letter]['g'], 'route owner columns') + frames[f] = transport(frames[f], tuple(e['g']), e['shift']) + rows[f] = route(rows[f], letter) + elif op == 'private_begin': + need(not private, 'nested private body') + private = True + elif op == 'private_end': + need(private and not rows['C'] and phase(frames['C']) == phase(()), 'private cleanup') + private = False + else: + raise ValueError('unknown new event: ' + op) + need(not private, 'unfinished private body') + + +def unit_bank(prefix): + return {p: {(prefix + str(p), ()): Q(1)} for p in range(112)} + + +def replay(capture, repair, R, A, T, U, routes, stage=0): + x1, y1 = unit_bank('x1:'), unit_bank('y1:') + old = tuple((v, 1) for v in AXES[:9 + 8 * stage]) + current = tuple((v, 1) for v in AXES[:17 + 8 * stage]) + rows = {'X' + str(p): dict(x1[p]) for p in range(112)} + rows.update({'Y' + str(p): dict(y1[p]) for p in range(112)}) + frames = {'X' + str(p): old for p in range(112)} + frames.update({'Y' + str(p): old + ((routes[1, p]['q'], -1),) for p in range(112)}) + records = {'R' + str(p) for p in A + T} + for f in records | {'C'}: + rows[f], frames[f] = {(f + ':dirty', ()): Q(1)}, () + execute(capture, rows, frames, routes, records, stage) + xx, yy = backward(x1, y1, R, A, T, U, stage + 1, stage + 2) + for p in range(112): + rows['X' + str(p)], frames['X' + str(p)] = xx[p], current + rows['Y' + str(p)], frames['Y' + str(p)] = yy[p], current + ((routes[1, p]['q'], -1),) + execute(repair, rows, frames, routes, records, stage) + expected_x, expected_y = inverse_forward(x1, y1, R, A, T, U, stage) + for p in range(112): + need(rows['X' + str(p)] == expected_x[p], 'X content: ' + str(p)) + need(rows['Y' + str(p)] == expected_y[p], 'Y content: ' + str(p)) + need(phase(frames['X' + str(p)]) == phase(current), 'X output frame') + need(phase(frames['Y' + str(p)]) == phase(current + ((routes[1, p]['q'], -1),)), 'Y output frame') + for f in records | {'C'}: + need(not rows[f] and phase(frames[f]) == phase(()), 'owned retirement: ' + f) + need(all(all(letter[0] == stage for letter in term[1]) + for p in range(112) for term in rows['X' + str(p)]), 'past-route closure') + need(all(all(letter[0] == stage for letter in term[1]) + for p in range(112) for term in rows['Y' + str(p)]), 'past-route closure') + form = {f: [[source, list(word), str(c)] for (source, word), c in sorted(row.items())] + for f, row in sorted(rows.items())} + return digest(encoded(form)) + + +def scalar_price(word): + total, counts = 0, Counter() + for e in word: + op = e['op'] + counts[op] += 1 + if op == 'clear': + total += 2 + elif op in ('add', 'scale'): + c = Q(e['c']) + a, b = abs(c.numerator), c.denominator + need(a and b & (b - 1) == 0, 'dyadic scalar coefficient') + if op == 'add': + total += 2 * (2 + a.bit_length() + a.bit_count() + b.bit_length() - 1) + else: + need(a & (a - 1) == 0, 'dyadic scalar unit') + total += 2 * (abs(a.bit_length() - b.bit_length()) + (c < 0)) + ranks = Counter(e['rank'] for e in word if e['op'] in ('line', 'stage')) + return dict(events=dict(sorted(counts.items())), scalar=total, + native_profile={str(k): v for k, v in sorted(ranks.items())}, + native_mass=sum(k * v for k, v in ranks.items()), + native_wrappers=2 * sum(ranks.values()), cover_maps=counts['map']) + + +def check_cocycle(routes): + frame_checks = 0 + products = 0 + noncommuting = 0 + for stage in range(1, 9): + for p in range(112): + g = routes[stage, p]['g'] + for completed in range(stage, 9): + size = 9 + 8 * completed + need(all(g[i] < 1 << size for i in range(size)), 'accumulated subspace') + eta = lift(g, size) + need(eta == routes[stage, p]['shift'], 'later lift is the registered old lift') + terms = tuple((v, 1) for v in AXES[:size]) + need(phase(transport(terms, g, eta)) == phase(terms), 'full accumulated phase') + frame_checks += 1 + h = routes[1, (p + 1) % 112]['g'] + size = 9 + 8 * stage + gh = product(g, h) + need(lift(gh, size) == (lift(g, size) ^ action(g, lift(h, size))), 'translation cocycle') + products += 1 + noncommuting += product(g, h) != product(h, g) + return dict(actual_routes=896, accumulated_frame_checks=frame_checks, + cocycle_product_checks=products, noncommuting_product_checks=noncommuting) + + +def native_lowering(routes): + recipes = {} + checked = 0 + for p in range(112): + q = routes[1, p]['q'] + pivot = (q & -q).bit_length() - 1 + columns = (q,) + tuple(1 << j for j in range(9) if j != pivot) + AXES[9:] + inverse9 = {action(columns, x): x for x in range(512)} + need(len(inverse9) == 512, 'line wrapper is bijective') + inverse_columns = tuple(inverse9[1 << j] for j in range(9)) + AXES[9:] + need(product(columns, inverse_columns) == AXES and product(inverse_columns, columns) == AXES, + 'line wrapper inverse') + for sign in (1, -1): + for x in range(512): + middle = action(inverse_columns, x) + shift = q if sign == -1 else 0 + actual = {action(columns, middle) ^ shift: (1, 1), + action(columns, middle ^ 1) ^ shift: (1, -1)} + expected = {x: (1, sign), x ^ q: (1, -sign)} + need(actual == expected, 'signed Gaussian line kernel') + checked += 1 + recipes['line_' + str(p)] = dict(rank=1, label=q, right_columns=list(inverse_columns), + left_columns=list(columns), negative_left_translation=q, + positive_left_translation=0, gaussian_denominator=2) + for stage in range(1, 9): + first = 8 * stage + 1 + columns = list(AXES) + for j in range(8): + columns[j], columns[first + j] = columns[first + j], columns[j] + columns = tuple(columns) + need(product(columns, columns) == AXES, 'rank-eight wrapper inverse') + for x in range(256): + need(action(columns, x) == x << first, 'rank-eight axis image') + recipes['stage_' + str(stage)] = dict(rank=8, right_columns=list(columns), + left_columns=list(columns), positive_left_translation=0) + # The positive C8 kernel is a tensor product of the same eight line kernels. + # Its coefficient depends only on the XOR difference. This checks all 256 + # differences, and hence all 65,536 source/target coefficients. + coefficients = [] + for difference in range(256): + re, im = 1, 0 + for j in range(8): + sign = -1 if difference >> j & 1 else 1 + re, im = re - sign * im, sign * re + im + coefficients.append([re, im]) + # An independent power expansion gives (1+i)^(8-w) (1-i)^w. + w = difference.bit_count() + re2, im2 = 1, 0 + for j in range(8): + sign = 1 if j < 8 - w else -1 + re2, im2 = re2 - sign * im2, sign * re2 + im2 + need((re, im) == (re2, im2), 'rank-eight Gaussian coefficient') + return recipes, dict(signed_rank_one_columns=checked, rank_eight_axis_images=8 * 256, + rank_eight_distinct_coefficients=256, rank_eight_full_coefficients=65536, + rank_eight_coefficient_sha256=digest(encoded(coefficients))) + + +def controls(capture, repair, R, A, T, U, routes): + mutations = {} + for name, op, last in [('missing_record_lift', 'stage', False), ('missing_Y_normalization', 'line', False), + ('missing_Y_return', 'line', True), ('missing_scratch_cleanup', 'clear', True)]: + c, w = deepcopy(capture), deepcopy(repair) + choices = [i for i, e in enumerate(w) if e['op'] == op and + (name != 'missing_scratch_cleanup' or e.get('field') == 'C')] + del w[choices[-1] if last else choices[0]] + mutations[name] = c, w + c, w = deepcopy(capture), deepcopy(repair) + c[0]['keep_dirty'] = True + mutations['dirty_record_capture'] = c, w + c, w = deepcopy(capture), deepcopy(repair) + next(e for e in w if e['op'] == 'map')['shift'] = 0 + mutations['missing_accumulated_translation'] = c, w + c, w = deepcopy(capture), deepcopy(repair) + e = next(e for e in w if e['op'] == 'add' and e['src'] == 'C') + e['c'] = str(-Q(e['c'])) + mutations['wrong_query_correction'] = c, w + c, w = deepcopy(capture), deepcopy(repair) + e = next(e for e in w if e['op'] == 'add' and e['dst'].startswith('Y') and e['src'].startswith('X')) + e['c'] = '-1' + mutations['wrong_selected_sum'] = c, w + c, w = deepcopy(capture), deepcopy(repair) + first = next(i for i, e in enumerate(w) if e['op'] == 'clear' and e.get('field', '').startswith('R')) + del w[first] + mutations['unretired_record'] = c, w + errors = {} + for name, (c, w) in mutations.items(): + try: + replay(c, w, R, A, T, U, routes) + except ValueError as error: + errors[name] = str(error) + else: + raise ValueError('ineffective negative control: ' + name) + return errors + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + args.out.mkdir(parents=True, exist_ok=True) + source, R, A, T, U, routes = load() + capture, repair = make_word(R, A, T, U, routes) + xx, yy = unit_bank('x:'), unit_bank('y:') + fx, fy = forward(xx, yy, R, A, T, U) + ix, iy = inverse_forward(fx, fy, R, A, T, U) + need(ix == xx and iy == yy, 'all 224 original inputs through forward and inverse') + ix, iy = inverse_forward(xx, yy, R, A, T, U) + fx, fy = forward(ix, iy, R, A, T, U) + need(fx == xx and fy == yy, 'both inverse orders') + general_words, general_receipts = {}, {} + for stage in range(1, 7): + gc, gr = make_word(R, A, T, U, routes, stage) + fx, fy = forward(xx, yy, R, A, T, U, stage) + ix, iy = inverse_forward(fx, fy, R, A, T, U, stage) + need(ix == xx and iy == yy, 'general forward inverse order') + ix, iy = inverse_forward(xx, yy, R, A, T, U, stage) + fx, fy = forward(ix, iy, R, A, T, U, stage) + need(fx == xx and fy == yy, 'general inverse forward order') + general_words[str(stage)] = dict(capture=gc, repair=gr, + source_calls=['F_' + str(stage), 'B_' + str(stage + 1) + '_' + str(stage + 2)]) + general_receipts[str(stage)] = dict(operator_sha256=replay(gc, gr, R, A, T, U, routes, stage), + invoice=scalar_price(gc + gr)) + native_recipes, native_checks = native_lowering(routes) + word = dict(schema='qq16-first-pair-retirement-v1', certificate_sha256=SOURCE_SHA, + source_call_hashes={name: digest(encoded(source['programs'][name])) for name in ('F_0', 'B_1_2')}, + capture_after_F0=capture, retained_call='B_1_2', repair_after_B1=repair) + word_bytes = encoded(word) + result = dict(status='PASS_LOCAL_FIRST_PAIR_RETIREMENT', source_sha256=SOURCE_SHA, + word_sha256=digest(word_bytes), + all_224_input_operator_rows_sha256=replay(capture, repair, R, A, T, U, routes), + formal_ring='rational linear combinations of reduced words in free involutions', + original_inputs=224, independent_post_F0_inputs=224, owned_dirty_records=16, + owned_local_scratch=1, borrowed_helpers_untouched_by_new_events=480, + inherited_calls='QQ16 F_0 and B_1_2 at the pinned source contract', + literal_scope='New capture and repair events only; unchanged QQ16 native cores are inherited.', + added_invoice=scalar_price(capture + repair), + capture_invoice=scalar_price(capture), repair_invoice=scalar_price(repair), + accumulated_lift=check_cocycle(routes), + native_lowering=native_checks, general_adjacent_F_B=general_receipts, + negative_controls=controls(capture, repair, R, A, T, U, routes), + open=['16 full-cover record storage and delivery', 'new recursive-child hosting', + 'full-cover stream and address implementation', 'precision and tape invoice', + 'all-stage controller and terminal assembly', 'complete supplier moment']) + (args.out / 'RESTORATION-WORD.json').write_bytes(word_bytes + b'\n') + (args.out / 'GENERAL-F-B-WORDS.json').write_bytes(encoded(general_words) + b'\n') + (args.out / 'NATIVE-RECIPES.json').write_bytes(encoded(native_recipes) + b'\n') + (args.out / 'RESTORATION-CHECKS.json').write_text(json.dumps(result, indent=2, sort_keys=True) + '\n') + print(json.dumps(result, indent=2, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/CURRENT-QUERY-PROGRAM.json.gz b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/CURRENT-QUERY-PROGRAM.json.gz new file mode 100644 index 0000000000..28423a2413 Binary files /dev/null and b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/CURRENT-QUERY-PROGRAM.json.gz differ diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY-PROGRAM.json.gz b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY-PROGRAM.json.gz new file mode 100644 index 0000000000..77d0bbbb81 Binary files /dev/null and b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY-PROGRAM.json.gz differ diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY.json new file mode 100644 index 0000000000..6e6eb325a6 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY.json @@ -0,0 +1,35 @@ +{ + "all_input_columns": 712, + "controls": { + "missing_private_clear": true, + "omitted_second_shear": true, + "omitted_suffix": true, + "reversed_prefix": true + }, + "costs": { + "added_native_wrappers": 16, + "added_rank_one_children": 8, + "complete_scalar": 212826, + "first_shear": 3648, + "native_mass": 5530, + "retained_core": 202138, + "second_shear": 3648, + "selected_FULL_correction": 3392 + }, + "inherited_native_check": "The eight positive lines, mixed output frames and old native word are byte-identical to the PJ variant.", + "new_selected_query": "L_A Y_out = R(X+Y)", + "odd_divisions": 0, + "open": [ + "Whole-cover owner and phase review of the new mixed interface", + "Mixed-frame bridge consumption", + "Old-stage query capture and code retirement", + "Recursive hosting, finite precision and the complete supplier invoice" + ], + "owned_private_rows_cleared": 8, + "payload_sha256": "9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c", + "prior_payload_sha256": "75d7f083af8d5687b971aa0c012e201b922f5473a4080869b581b9ba8c195fea", + "prior_producer_sha256": "d2c45cd05f8ad0e27573226a012e183c5b0ecec4b49655beeb1f9fdd13fb3184", + "restored_arbitrary_helper_rows": 480, + "status": "PASS_UNIT_CURRENT_SUM_QUERY_712_COLUMNS", + "unit_inverse": "(I-K_A R_U)(I+K_U L_A)" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY.md new file mode 100644 index 0000000000..28dd20d8a7 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY.md @@ -0,0 +1,171 @@ +# A dyadic unit completion that stores the full current query + +The selected eight target fields can store the exact current query R(X+Y). +The data encoding and its algebraic inverse use only dyadic coefficients. +The complete local word adds eight rank-one children to the accepted clean-J +forward word. Its cost is 212,826 real scalar primitives and native mass +5,530. It restores all 480 arbitrary helper contents in their original +complete job frames. All eight owned private fields end at zero. + +This is a local component. Its selected Y outputs have FULL frames, while +its other Y outputs retain their inverse-line frames. No next controller +call, old-stage query, recursive hosting, or complete supplier is established. +The initial X line type is also unchanged. + +## A general completion identity + +Let V be the direct sum of coordinate spaces V_A and V_U. Let R:V->W and +K:W->V be linear maps over a ring. Suppose the restriction R_A:V_A->W is +invertible and the A part of K equals R_A^-1. Define + + L = R_A pi_A, K_A = iota_A R_A^-1, + R_U = R-L, K_U = K-K_A, + J = I-KR. + +Then L K_A=I, L K_U=0, and R_U K_A=0. The two operators below are unit +triangular with respect to V_A and V_U: + + T = (I-K_U L)(I+K_A R_U), + T^-1 = (I-K_A R_U)(I+K_U L). (1) + +The two displayed products are inverses, since (K_U L)^2=(K_A R_U)^2=0. +Expansion gives + + T = I+K_A R_U-K_U R, + pi_U T = pi_U J, + L T = R, + T-J = K_A(2R-L). (2) + +Thus replacing only the A output rows of J gives an invertible encoding +whose A rows contain the full query R. There is no hypothesis on RK and +no need to invert I-RK. The ring only needs the coefficients already in R, +K, and R_A^-1. In particular, a dyadic minor and dyadic K give a dyadic unit +T, even when J has an odd nonunit eigenvalue. + +For normalized coordinates (u,a)=(pi_U w,Lw), put B=R_U and D=K_U. Then + + f=a+Bu, + T:(u,a) -> (u-Df,f). (3) + +The inverse is u=u'+Df and a=f-Bu. In the actual construction BD=13I, so + + T^-1:(u',f) -> (u'+Df,-12f-Bu'). (4) + +These equations account for every input coordinate. A query does not +replace or discard an arbitrary data value. + +## The actual word + +Use the actual R, K=R^T/4, RK=14I, and + + A=[0,7,20,27,36,46,57,111]. + +The selected minor satisfies R_A R_A^T=4I. Thus K restricted to A is +K_A=iota_A R_A^-1, as required by (1). Write L_A for L. For arbitrary +logical inputs l,v, apply these steps in order: + +1. Apply I+K_A R_U to Y at its original I frame. +2. Apply I-K_U L_A to Y at the same I frame. +3. Run the complete accepted clean-J forward core. +4. Apply the positive line C_q to each selected Y field in A. +5. Add (T-J)X to these eight now-FULL target fields. + +After step 3 the logical data is X=l, Y=Tv+Jl. By (2), the last scalar +correction is supported only on A and gives + + X_out=l, Y_out=T(l+v), L_A Y_out=R(l+v). (5) + +All 480 borrowed helper inputs are arbitrary. The old core acts on the +changed data with the same complete helper map and has no helper-to-data +coefficient. The new gates touch no helper. The eight private C fields are +owned. Their input values may be discarded. The prefix clears C0 before +each query and at its end; the retained core clears all eight private fields. + +The decompressed payload `UNIT-QUERY-PROGRAM.json.gz` has SHA-256 + + 9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c. + +It contains all 26,531 events: 944 prefix scalar events, the 25,155 old core +events, eight native line records, and 424 scalar suffix events. The old +core and the line records are byte-identical to the frozen PJ-query packet. +The line records include the exact intrinsic child and its two maps. + +| Fields | Input frame | Output frame | +| --- | --- | --- | +| X_p | C_qp | F | +| Y_p, p in A | I | F | +| Y_p, p outside A | I | F C_qp^-1 | +| 480 helpers | Original input frames | Original complete job frames | +| C0 through C7 | Owned, arbitrary | Zero at I | + +Here F is the complete local nine-axis transform. The prefix runs before +every retained event. The eight positive lines and the suffix run after +every retained event and before the enclosing owner view is restored. The +positive line cancels the old inverse line on the entire arbitrary Y field. +Each suffix ADD then reads FULL X and writes FULL Y. The inherited native +check proves the exact line phase; replacing the positive line with its +inverse would leave a nontrivial translation. + +Relative to the unchanged old Y baseline F C_q^-1, the new output has code +C_A T, where C_A applies C_q only to A. It is not a uniformly typed T bank. +Equation (1) is an algebraic inverse; it does not permit cross-frame scalar +ADDs. An unchanged later B or F word is not admitted by this proof. + +## Exact local cost and checks + +Each triangular prefix factor uses C0 for eight serial queries. The first +factor reads only U and writes only A. The second reads only A and writes +only U. Thus updates within either factor cannot change its later query +inputs. Each factor has 448 unit ADDs, eight quarter SCALEs, and sixteen +CLEARs. Each costs 3,648 real primitives. + +The matrix T-J has 424 nonzero coefficients, all +1 or -1, on the eight +selected target rows. Its literal suffix has cost 3,392 real primitives. + +| Part | Real scalar primitives | +| --- | ---: | +| First triangular prefix | 3,648 | +| Second triangular prefix | 3,648 | +| Retained clean-J core | 202,138 | +| Selected FULL correction | 3,392 | +| Complete local word | 212,826 | + +The native profile is {1:2420,2:418,3:432,4:142,5:82}, with mass 5,530. +The added work is eight rank-one children and sixteen child permutation +maps. No cover record, private field, or odd division is added. Recursive +child execution, hosting, address work, precision, and the complete stream +invoice remain outside this local count. + +The producer checks all 712 input columns, all 480 arbitrary helper rows, +the eight cleared private rows, both inverse orders in (1), the exact query, +the support and coefficients of T-J, every new scalar frame, and the local +invoice. Four controls reject reversed prefix order, an omitted second +factor, an omitted suffix, and a missing initial C0 clear. The complete old +native chronology and the eight line kernels are inherited byte-for-byte +from `CURRENT-QUERY-PROGRAM.json.gz`; their phase proof is not rerun here. + +Run: + +```text +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/emit_unit_query.py --out /private/tmp/unit-query-replay +``` + +The first line is `PASS_UNIT_CURRENT_SUM_QUERY_712_COLUMNS`. +`UNIT-QUERY.json` gives the exact source pins, count, and controls. +Independent native and scalar review is separate from this producer check. + +## Consequence for the reset decoder + +At the current even-stage F_t input in the reset construction, + + l=J_s^-1 x_i-v_i, v=v_i, t=s+1. + +Equation (5) gives R_t J_s^-1 x_i directly in eight completed fields. This +includes the arbitrary target term that the old source-only FULL reader +misses. It does not yet give R_s J_s^-1 x_i, retire the mixed code, or prove +a complete decoder within the 573-rank per-replica allowance. + +The construction uses the accepted clean-J core, the actual orthogonal +minor used in the QQ16 work, and the coherent-port positive-line recipes. +The earlier PJ-query packet stays fixed. Research and verification used +OpenAI Codex under the user's direction. There is no kappa claim. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/emit_current_query.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/emit_current_query.py new file mode 100644 index 0000000000..a8a8e9137c --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/emit_current_query.py @@ -0,0 +1,209 @@ +#!/usr/bin/env python3 +"""Emit a current sum query in eight completed target fields.""" + +import argparse +from collections import Counter +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +spec = importlib.util.spec_from_file_location('scalar_review', HERE.parent / 'full-exit-readers-review/check_review.py') +m = importlib.util.module_from_spec(spec) +spec.loader.exec_module(m) +A = (0, 7, 20, 27, 36, 46, 57, 111) +PINS = { + 'scalar_interpreter': 'e59b1fe12a62e8de01eae9dd25b415524f8e43c56806f1e05a8d1d7d00b70168', + 'interface': '5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3', + 'clean_core_payload': 'fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877', + 'word_compressed': '16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219', + 'positive_lines': '500c09dfc1d27ffd107341adf4c3c6874ee2c84e1a8afad91d931ed9e88fd1d7', + 'physical_endpoint_review': '8b8c4d814b44c2fc42cf9ad995f8451512309fcfc46bea9317ebe4b4d79e8a4d', +} + + +def multiply(a, b): + result = [] + for row in a: + out = {} + for j, coefficient in row.items(): + m.add(out, b[j], coefficient) + result.append(out) + return result + + +def serial(rows): + return [{str(k): str(v) for k, v in sorted(row.items())} for row in rows] + + +def mv(rows, value): + return sum(((row & value).bit_count() % 2) << i for i, row in enumerate(rows)) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--repo', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + lanes = args.repo / m.LANES + m.read_pin(HERE.parent / 'full-exit-readers-review/check_review.py', PINS['scalar_interpreter']) + interface = json.loads(m.read_pin(lanes / 'circuit-interface/INTERFACE.json', PINS['interface'])) + raw = gzip.decompress((lanes / 'circuit-interface/CENTRE-FREE-PROGRAMS.json.gz').read_bytes()) + m.need(sha256(raw).hexdigest() == PINS['clean_core_payload'], 'Clean core payload') + core = json.loads(raw)['forward'] + word = json.loads(gzip.decompress(m.read_pin(args.repo / 'work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz', PINS['word_compressed']))) + lines = json.loads(m.read_pin(lanes / 'coherent-port/INPUT-COMPENSATION.json', PINS['positive_lines'])) + m.read_pin(lanes / 'interface-proof/ORIGINAL-COMPLEX-MODES-REVIEW.json', PINS['physical_endpoint_review']) + R = [{int(p): Q(v) for p, v in row.items()} for row in interface['R']] + I = [{p: Q(1)} for p in range(112)] + K = [{k: R[k].get(p, 0) / 4 for k in range(8) if R[k].get(p, 0)} for p in range(112)] + KA = [row if p in A else {} for p, row in enumerate(K)] + U = tuple(p for p in range(112) if p not in A) + RU = [{p: v for p, v in row.items() if p not in A} for row in R] + LA = [{p: v for p, v in row.items() if p in A} for row in R] + m.need(multiply(R, K) == [{k: Q(14)} for k in range(8)], 'RK=14I') + m.need(multiply(LA, KA) == [{k: Q(1)} for k in range(8)], 'Selected dual') + m.need(multiply(RU, KA) == [{} for _ in range(8)], 'Selected shear square zero') + P, Pinv, J, Jinv = [[dict(r) for r in I] for _ in range(4)] + for p, row in enumerate(multiply(KA, RU)): + m.add(P[p], row) + m.add(Pinv[p], row, -1) + for p, row in enumerate(multiply(K, R)): + m.add(J[p], row, -1) + m.add(Jinv[p], row, -Q(1, 13)) + target = multiply(P, J) + inv = multiply(Jinv, Pinv) + m.need(multiply(target, inv) == multiply(inv, target) == I, 'Both rational inverse orders') + m.need(multiply(LA, target) == [{p: -13 * v for p, v in row.items()} for row in R], 'Clean full query') + S = [dict(row) for row in target] + for p in range(112): + m.add(S[p], J[p], -1) + m.need({p for p, row in enumerate(S) if row} == set(A), 'Only selected correction rows') + m.need(Counter(v for row in S for v in row.values()) == Counter({Q(-13): 8, Q(-6): 264, Q(6): 152}), 'Exact correction coefficients') + + def scalar(gate, frame): + return ['scalar', gate, frame] + + prefix = [] + for query, scatter, sign in ((R, K, -1), (RU, KA, 1)): + for k, row in enumerate(query): + prefix.append(scalar(['clear', ['C', 0]], 0)) + prefix.extend(scalar(['add', ['C', 0], ['L', 112 + p], v.numerator, v.denominator], 0) + for p, v in sorted(row.items())) + prefix.append(scalar(['scale', ['C', 0], 1, 4], 0)) + prefix.extend(scalar(['add', ['L', 112 + p], ['C', 0], int(sign * 4 * col[k]), 1], 0) + for p, col in enumerate(scatter) if k in col) + prefix.append(scalar(['clear', ['C', 0]], 0)) + pre_map = m.replay(prefix) + m.need(pre_map[112:224] == [{112 + p: v for p, v in row.items()} for row in target], 'Ordered prefix PJ') + + selected_recipes = [item for item in lines['recipes'] if item['port'] in A] + m.need(tuple(item['port'] for item in selected_recipes) == A, 'Selected native recipe order') + native = [] + for item in selected_recipes: + p, label, recipe = item['port'], item['label'], item['recipe'] + m.need(label == word['ports'][p], 'Actual selected native line') + m.need(recipe['rank'] == 1, 'One rank-one child') + for side in ('left', 'right'): + block = recipe[side] + m.need(block['offset'] == block['phase'] == 0 and not any(block['linear_Z4'] + block['quadratic_rows']), 'Exact zero wrapper phases') + for x in range(512): + middle = mv(recipe['right']['matrix_rows'], x) + m.need(mv(recipe['left']['matrix_rows'], middle) == x, 'Kernel first Gaussian coefficient') + m.need(mv(recipe['left']['matrix_rows'], middle ^ 1) == x ^ label, 'Kernel second Gaussian coefficient') + native.append(['intrinsic_line', ['L', 112 + p], p, 1, recipe]) + + post = [scalar(['clear', ['C', 0]], 1)] + for q in U: + entries = [(p, S[p].get(q, Q(0))) for p in A if S[p].get(q, 0)] + m.need(len(entries) == 4 and all(abs(v) == 6 for p, v in entries), 'Four signed-six updates') + post += [scalar(['copy', ['C', 0], ['L', q]], 1), + scalar(['scale', ['C', 0], 2, 1], 1), + scalar(['add', ['C', 0], ['L', q], 1, 1], 1), + scalar(['scale', ['C', 0], 2, 1], 1)] + post.extend(scalar(['add', ['L', 112 + p], ['C', 0], int(v / 6), 1], 1) for p, v in entries) + post.extend(scalar(['add', ['L', 112 + p], ['L', p], -13, 1], 1) for p in A) + post.append(scalar(['clear', ['C', 0]], 0)) + program = prefix + core + native + post + output = m.replay(program) + expected = [{p: Q(1)} for p in range(712)] + for p, row in enumerate(target): + expected[112 + p] = dict(row) + m.add(expected[112 + p], {112 + q: v for q, v in row.items()}) + expected[704:] = [{} for _ in range(8)] + m.need(output == expected, 'All 712 arbitrary input columns') + frames, frame_count = m.frame_check(prefix + core, word) + m.need(frames == word['final'] + [0] * 8, 'Complete retained native endpoints') + phase_checks = 0 + for p in A: + q = word['ports'][p] + for frequency in range(512): + full = frequency.bit_count() % 4 + line = (frequency & q).bit_count() % 2 + m.need((full - line + line) % 4 == full, 'Positive line reaches exact FULL phase') + phase_checks += 1 + frames[112 + p] = 1 + for event in post: + op, target_wire, source, _ = m.scalar(event) + if op == 'clear': + frames[target_wire] = event[2] + else: + m.need(frames[target_wire] == event[2], 'Post target FULL access') + if source is not None: + m.need(frames[source] == event[2], 'Post source FULL access') + m.need(frames[704:] == [0] * 8, 'All owned fields return zero/I') + m.need(all(frames[p] == 1 for p in range(112)), 'All X remain FULL') + m.need(all(frames[112 + p] == (1 if p in A else word['final'][112 + p]) for p in range(112)), 'Exact mixed Y frames') + m.need([e for e in program if e[0] in ('climb', 'adapter', 'residual_adapter')] == + [e for e in core if e[0] in ('climb', 'adapter', 'residual_adapter')], 'All old native events unchanged') + + j_end = next(i for i in range(1, len(prefix)) if sum(e[1][0] == 'clear' for e in prefix[:i] if e[0] == 'scalar') == 16) + # Each of the two serial blocks has eight query iterations. + j_events = sum(3 + len(R[k]) + sum(k in col for col in K) for k in range(8)) + m.need(j_events == j_end, 'Exact split between J and P') + price = lambda events: sum(m.cost(e) for e in events if e[0] == 'scalar') + costs = dict(J_prefix=price(prefix[:j_events]), P_prefix=price(prefix[j_events:]), + retained_core=price(core), selected_FULL_correction=price(post), + complete_scalar=price(program), added_rank_one_children=8, + added_native_wrappers=16, native_mass=5530) + m.need(costs == dict(J_prefix=7232, P_prefix=3648, retained_core=202138, + selected_FULL_correction=4932, complete_scalar=217950, + added_rank_one_children=8, added_native_wrappers=16, native_mass=5530), 'Complete exact local invoice') + wrong_p = m.replay(prefix[:j_events] + core + native + post) + wrong_s = m.replay(prefix + core + native) + no_clear = m.replay(prefix[1:] + core + native + post) + bad_line_phases = [(x.bit_count() - 2 * ((x & word['ports'][A[0]]).bit_count() % 2)) % 4 for x in range(512)] + controls = dict(omitted_P=wrong_p != expected, omitted_FULL_correction=wrong_s != expected, + arbitrary_private_baseline=any(704 in row for row in no_clear[:704]), + wrong_inverse_line_has_translation=bad_line_phases != [x.bit_count() % 4 for x in range(512)], + uniform_hole_endpoint_is_false=any(frames[112 + p] != word['final'][112 + p] for p in A)) + m.need(all(controls.values()), 'Every negative control detects its fault') + + payload = dict(schema='current-query-encoder-v1', selected_A=list(A), other_Y=list(U), source_pins=PINS, + R=serial(R), J=serial(J), P=serial(P), PJ=serial(target), inverse_PJ=serial(inv), + S=serial(S), prefix=prefix, retained_core=core, native_normalizations=native, suffix=post, + program=program, output_frames=frames, + physical_input='X:C_q, Y:I, helpers:original; C:owned arbitrary', + physical_output='X:F, Y_A:F, Y_not_A:F C_q^-1, helpers:original complete jobs; C:zero/I') + raw = m.encode(payload) + receipt = dict(status='PASS_CURRENT_SUM_QUERY_ENCODER_712_COLUMNS', source_pins=PINS, + payload_sha256=sha256(raw).hexdigest(), selected_A=list(A), all_input_columns=712, + arbitrary_helper_rows=480, owned_private_rows_cleared=8, + new_native_kernel_columns=8 * 512, exact_output_phase_cases=phase_checks, + retained_scalar_frame_checks=frame_count, costs=costs, controls=controls, + target_code='P J (X+Y)', selected_query='L_A Y_out = -13 R (X+Y)', + open=['Whole changed controller and mixed-frame bridges', 'Old-stage query capture', + 'Code retirement and arbitrary global owner restoration', 'New-child hosting', + 'Full recursive streams, maps, precision and kappa invoice']) + args.out.mkdir(parents=True, exist_ok=True) + (args.out / 'CURRENT-QUERY-PROGRAM.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + (args.out / 'CURRENT-QUERY.json').write_text(json.dumps(receipt, sort_keys=True, indent=2) + '\n') + print(receipt['status']) + print(json.dumps(costs, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/emit_unit_query.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/emit_unit_query.py new file mode 100644 index 0000000000..49244aedf0 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/emit_unit_query.py @@ -0,0 +1,126 @@ +#!/usr/bin/env python3 +"""Emit the unit target code with an unscaled current sum query.""" + +import argparse +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + +HERE = Path(__file__).resolve().parent +spec = importlib.util.spec_from_file_location('prior', HERE / 'emit_current_query.py') +base = importlib.util.module_from_spec(spec) +spec.loader.exec_module(base) +m = base.m + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + producer_pin = 'd2c45cd05f8ad0e27573226a012e183c5b0ecec4b49655beeb1f9fdd13fb3184' + m.read_pin(HERE / 'emit_current_query.py', producer_pin) + raw = gzip.decompress(m.read_pin(HERE / 'CURRENT-QUERY-PROGRAM.json.gz', 'b4d5cba37c696d1c31f530b3aa4f01535718972227f8b63d626125f35046d09e')) + m.need(sha256(raw).hexdigest() == '75d7f083af8d5687b971aa0c012e201b922f5473a4080869b581b9ba8c195fea', 'Prior literal payload') + old = json.loads(raw) + A, U = tuple(old['selected_A']), tuple(old['other_Y']) + R = [{int(p): Q(v) for p, v in row.items()} for row in old['R']] + J = [{int(p): Q(v) for p, v in row.items()} for row in old['J']] + I = [{p: Q(1)} for p in range(112)] + K = [{k: R[k].get(p, 0) / 4 for k in range(8) if R[k].get(p, 0)} for p in range(112)] + KA = [row if p in A else {} for p, row in enumerate(K)] + KU = [row if p in U else {} for p, row in enumerate(K)] + LA = [{p: v for p, v in row.items() if p in A} for row in R] + RU = [{p: v for p, v in row.items() if p in U} for row in R] + plus, minus, iplus, iminus = [[dict(row) for row in I] for _ in range(4)] + for p, row in enumerate(base.multiply(KA, RU)): + m.add(plus[p], row) + m.add(iplus[p], row, -1) + for p, row in enumerate(base.multiply(KU, LA)): + m.add(minus[p], row, -1) + m.add(iminus[p], row) + T = base.multiply(minus, plus) + Tinv = base.multiply(iplus, iminus) + m.need(base.multiply(T, Tinv) == base.multiply(Tinv, T) == I, 'Both unit inverse orders') + m.need(base.multiply(LA, T) == R, 'Unscaled full query') + m.need(all(T[p] == J[p] for p in U), 'Unchanged nonspecial rows') + m.need(all(q.denominator & (q.denominator - 1) == 0 for rows in (T, Tinv) for row in rows for q in row.values()), 'Dyadic unit and inverse') + S = [dict(row) for row in T] + for p in range(112): + m.add(S[p], J[p], -1) + m.need(sum(map(len, S)) == 424 and all(abs(q) == 1 for row in S for q in row.values()), '424 signed unit corrections') + m.need({p for p, row in enumerate(S) if row} == set(A), 'Only eight target rows') + + def event(gate, frame): + return ['scalar', gate, frame] + + prefix, blocks = [], [] + for query, scatter, sign in ((RU, KA, 1), (LA, KU, -1)): + part = [] + for k, row in enumerate(query): + part.append(event(['clear', ['C', 0]], 0)) + part.extend(event(['add', ['C', 0], ['L', 112 + p], v.numerator, v.denominator], 0) + for p, v in sorted(row.items())) + part.append(event(['scale', ['C', 0], 1, 4], 0)) + part.extend(event(['add', ['L', 112 + p], ['C', 0], int(sign * 4 * col[k]), 1], 0) + for p, col in enumerate(scatter) if k in col) + part.append(event(['clear', ['C', 0]], 0)) + blocks.append(part) + prefix.extend(part) + suffix = [event(['add', ['L', 112 + p], ['L', q], int(v), 1], 1) + for p, row in enumerate(S) for q, v in sorted(row.items())] + core, native = old['retained_core'], old['native_normalizations'] + program = prefix + core + native + suffix + output = m.replay(program) + expected = [{p: Q(1)} for p in range(712)] + for p, row in enumerate(T): + expected[112 + p] = dict(row) + m.add(expected[112 + p], {112 + q: v for q, v in row.items()}) + expected[704:] = [{} for _ in range(8)] + m.need(output == expected, 'Every original data, helper and private input column') + m.need(m.replay(prefix)[112:224] == [{112 + p: v for p, v in row.items()} for row in T], 'Exact literal unit prefix') + m.need(all(output[h] == {h: Q(1)} for h in range(224, 704)), 'All arbitrary helpers restore') + m.need(not any(k >= 224 for row in output[:224] for k in row), 'No helper or private input leakage') + m.need(all(e[2] == 0 for e in prefix), 'Every new prefix gate is at I') + m.need(all(e[2] == 1 and e[1][1][1] - 112 in A and e[1][2][1] < 112 for e in suffix), 'Every suffix gate uses completed X and selected FULL Y') + m.need(core == old['retained_core'] and native == old['native_normalizations'], 'No new kernel or native phase premise') + price = lambda events: sum(m.cost(e) for e in events if e[0] == 'scalar') + costs = dict(first_shear=price(blocks[0]), second_shear=price(blocks[1]), + retained_core=price(core), selected_FULL_correction=price(suffix), + complete_scalar=price(program), native_mass=5530, + added_rank_one_children=8, added_native_wrappers=16) + m.need(costs == dict(first_shear=3648, second_shear=3648, retained_core=202138, + selected_FULL_correction=3392, complete_scalar=212826, native_mass=5530, + added_rank_one_children=8, added_native_wrappers=16), 'Exact complete local invoice') + controls = dict(reversed_prefix=m.replay(blocks[1] + blocks[0] + core + native + suffix) != expected, + omitted_suffix=m.replay(prefix + core + native) != expected, + omitted_second_shear=m.replay(blocks[0] + core + native + suffix) != expected, + missing_private_clear=any(704 in row for row in m.replay(prefix[1:] + core + native + suffix)[:224])) + m.need(all(controls.values()), 'Each concrete mutation fails') + payload = dict(schema='unit-current-query-v1', selected_A=list(A), other_Y=list(U), + base_payload_sha256=sha256(raw).hexdigest(), inherited_source_pins=old['source_pins'], + T=base.serial(T), inverse_T=base.serial(Tinv), S=base.serial(S), + prefix=prefix, retained_core=core, native_normalizations=native, suffix=suffix, + program=program, physical_input=old['physical_input'], physical_output=old['physical_output'], + output_frames=old['output_frames']) + encoded = m.encode(payload) + receipt = dict(status='PASS_UNIT_CURRENT_SUM_QUERY_712_COLUMNS', payload_sha256=sha256(encoded).hexdigest(), + prior_producer_sha256=producer_pin, prior_payload_sha256=sha256(raw).hexdigest(), + all_input_columns=712, restored_arbitrary_helper_rows=480, owned_private_rows_cleared=8, + new_selected_query='L_A Y_out = R(X+Y)', unit_inverse='(I-K_A R_U)(I+K_U L_A)', + odd_divisions=0, costs=costs, controls=controls, + inherited_native_check='The eight positive lines, mixed output frames and old native word are byte-identical to the PJ variant.', + open=['Whole-cover owner and phase review of the new mixed interface', + 'Mixed-frame bridge consumption', 'Old-stage query capture and code retirement', + 'Recursive hosting, finite precision and the complete supplier invoice']) + args.out.mkdir(parents=True, exist_ok=True) + (args.out / 'UNIT-QUERY-PROGRAM.json.gz').write_bytes(gzip.compress(encoded, mtime=0)) + (args.out / 'UNIT-QUERY.json').write_text(json.dumps(receipt, sort_keys=True, indent=2) + '\n') + print(receipt['status']) + print(json.dumps(costs, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/full-exit-readers-review/check_review.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/full-exit-readers-review/check_review.py new file mode 100644 index 0000000000..26c1696e9b --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/full-exit-readers-review/check_review.py @@ -0,0 +1,377 @@ +#!/usr/bin/env python3 +"""Review the FULL exit reader without a producer import.""" + +import argparse +from collections import Counter, defaultdict +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import tarfile + +ARCHIVE = 'worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz' +ARCHIVE_PIN = 'f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6' +LANES = 'work/centre-encoding-campaign-20261014/lanes/' +PACKET = LANES + 'cover-algebra/upstream-terminal-20261015/' +PINS = { + 'FULL-EXIT-READERS.md': '87e29b11bb77250b63c3d1218c9a5ff2015a2f25e3234a4fe8c4a55e2f6ac94f', + 'FULL-EXIT-READERS.json': 'bac80377e079538ee3d2c80deed9d8e15a9a5bc9683d6986a93f2652ad3b16b7', + 'FULL-EXIT-READERS-PROGRAMS.json.gz': 'af3fcff7f90c2d33d13f5a4f62af25a0138c5a2504c9e5a77f8d945bf955fc32', + 'emit_full_exit_readers.py': '3d85e0f63cfce884983e78e38a2e68bf0564a69fd00d1c827fd90b75b1d93b4d', + 'DIRTY-READER-REUSE.json': '53f3bc9891d560e60de374db099e7f588965091553fdc776230d96d8ae99f6c5', +} +MEMBERS = { + 'program': ('candidate/strict/global/base/providers/gauge44/LOCAL-PROGRAMS.json.gz', '241fde27d4e43f5a9cb6b128f9f76c5131a53d09f0371676163f914d0b0fef3a'), + 'word': ('candidate/strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz', '16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219'), + 'global': ('candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz', '2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760'), + 'phases': ('candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json', 'c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa'), +} +INHERITED = { + 'PROOF.md': '410d540640137bdab6f80875c94eaed8a39e18c67539c882e74a31422ad6bd02', + 'NATIVE-LIFT-REVIEW.json': '61b3990c983b96b8bff01feab8c83a612ea41612b948b1059186ce9ffa9692ea', + 'FACTORIZATION.json': 'e723b841beb06dea26eab62328f36d37e67ee91fc1d5d69ea4bebbc6d60ce08e', + 'BRIDGE-REVIEW.md': 'd01b5f4959f7c91f835496d050dfae3eeab9dee2f581571c316a42571eaa1cd3', + 'BRIDGE-OPERATOR-REVIEW.json': 'c905a19d70f34c435c5f5454c6190bbfb1ce4594b1513bf76156acf620d7c6fc', + 'ORIGINAL-COMPLEX-MODES-REVIEW.json': '8b8c4d814b44c2fc42cf9ad995f8451512309fcfc46bea9317ebe4b4d79e8a4d', +} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def read_pin(path, pin): + raw = path.read_bytes() + need(sha256(raw).hexdigest() == pin, 'Pin: ' + str(path)) + return raw + + +def encode(value): + return json.dumps(value, sort_keys=True, separators=(',', ':')).encode() + + +def wire(label): + kind, index = label + need(kind in ('L', 'C') and 0 <= index < (704 if kind == 'L' else 8), 'Wire label') + return index + (704 if kind == 'C' else 0) + + +def add(row, source, factor=Q(1)): + for column, value in source.items(): + total = row.get(column, 0) + factor * value + if total: + row[column] = total + else: + row.pop(column, None) + + +def scalar(event): + gate = event[1] + op, target = gate[0], wire(gate[1]) + if op in ('add', 'copy'): + source = wire(gate[2]) + need(target != source, 'Distinct source and target') + return op, target, source, Q(*gate[3:5]) if op == 'add' else Q(1) + need(op in ('scale', 'clear'), 'Scalar grammar') + return op, target, None, Q(*gate[2:4]) if op == 'scale' else Q(0) + + +def replay(events, initial=None): + state = [{i: Q(1)} for i in range(712)] if initial is None else [dict(r) for r in initial] + for event in events: + if event[0] != 'scalar': + continue + op, target, source, coefficient = scalar(event) + if op == 'clear': + state[target] = {} + elif op == 'scale': + state[target] = {i: coefficient * v for i, v in state[target].items() if coefficient * v} + elif op == 'copy': + state[target] = dict(state[source]) + else: + add(state[target], state[source], coefficient) + return state + + +def backward_reader(prefix, output): + row = {output: Q(1)} + for event in reversed(prefix): + if event[0] != 'scalar': + continue + op, target, source, coefficient = scalar(event) + value = row.get(target, Q(0)) + if not value: + continue + if op == 'clear': + del row[target] + elif op == 'scale': + row[target] = coefficient * value + else: + if op == 'copy': + del row[target] + add(row, {source: value}, coefficient) + return {i: value for i, value in row.items() if value} + + +def frame_check(events, word): + frames = word['start'][:] + [None] * 8 + gates = 0 + for event in events: + kind = event[0] + if kind in ('climb', 'center'): + target = event[2] if kind == 'climb' else 704 + event[1] + old, new = event[3:5] if kind == 'climb' else event[2:4] + need(frames[target] == old, 'Native input frame') + frames[target] = new + elif kind == 'scalar': + op, target, source, _ = scalar(event) + common = event[2] + if op == 'clear': + frames[target] = common + else: + need(frames[target] == common, 'Scalar target frame') + if source is not None: + need(frames[source] == common, 'Scalar source frame') + gates += 1 + else: + need(kind in ('adapter', 'residual_adapter', 'phase'), 'Native event grammar') + return frames, gates + + +def cost(event): + op, _, _, coefficient = scalar(event) + if op in ('clear', 'copy'): + return 2 + a, b = abs(coefficient.numerator), coefficient.denominator + need(a and b & (b - 1) == 0, 'Nonzero dyadic scalar') + if op == 'scale': + need(a & (a - 1) == 0, 'Unit SCALE') + return 2 * (abs(a.bit_length() - b.bit_length()) + (coefficient < 0)) + return 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + + +def polynomial(terms, dimension=25): + linear, pairs = [0] * dimension, [0] * dimension + for axis, coefficient in terms: + bits = [j for j in range(dimension) if axis >> j & 1] + for j in bits: + linear[j] = (linear[j] + coefficient) % 4 + if coefficient % 2: + for k in bits: + if k > j: + pairs[j] ^= 1 << k + return linear, pairs + + +def check_transport(phases, recorded): + axes = [1 << j for j in range(25)] + rebuilt = [] + for item in phases['recipes']: + b = item['idle_children'][0]['orthogonal_axes'][:8] + delta = [v ^ axes[17 + j] for j, v in enumerate(b)] + + def move(v): + result = v + for d in delta: + if (d & v).bit_count() % 2: + result ^= d + return result + + need(all(move(move(v)) == v for v in axes), 'Actual stage-two involution') + shift = item['stage_alignment'][2]['exit_X'] + need(move(shift) == shift, 'Transport translation is fixed') + for depth, proposed in ((9, b + axes[9:17]), (17, b)): + terms = [(v, 1) for v in axes] + [(move(v), -1) for v in axes[:depth]] + need(polynomial(terms) == polynomial([(v, 1) for v in proposed] + [(shift, 2)]), + 'Complete mod-four transport polynomial') + need(all((v & w).bit_count() % 2 == (i == j) + for i, v in enumerate(proposed) for j, w in enumerate(proposed)), + 'Orthogonal transport axes') + rebuilt.append(dict(port=item['port'], q=item['q'], translation=shift, + FULL0_to_FULL2_axes=b + axes[9:17], X_level1_to_FULL2_axes=b)) + need(rebuilt == recorded['recipes'], 'All 112 transport recipes') + return dict(ports=112, exact_quadratic_phase_identities=224, native_term_ranks=[16, 8]) + + +def check_owners(template, phases, helpers, recorded): + call = template['calls'][10] + owners = {call['owners'][role][0]: role for role in helpers} + need(len(owners) == 115, 'Distinct H owners') + bases = [[r['q']] + r['idle_children'][0]['orthogonal_axes'][:8] + + [1 << j for j in range(9, 73)] for r in phases['recipes']] + axes = {family: ([bases[family % 112][0]] if (family // 112) % 2 == 0 else []) for family in owners} + histories = defaultdict(list) + slots = defaultdict(list) + for index, item in enumerate(template['hosting']['pooled_slots']): + slots[item['time']].append((index, item)) + for position, event in enumerate(template['execution_schedule']): + if event['kind'] == 'local_cover_sweep': + time = event['time'] + if time == 10: + need(position == 18, 'Actual F2 invocation') + break + current = template['calls'][time] + need(not owners.keys() & {r[0] for r in current['owners'][:224]}, 'No prior active H owner') + for index, slot in slots[time]: + family = slot['family'] + if family not in owners: + continue + new = phases['recipes'][slot['port']]['idle_children'][slot['child']]['orthogonal_axes'][slot['offset']:slot['offset'] + slot['width']] + need(len(new) == slot['width'] and all(not ((a & b).bit_count() % 2) for a in axes[family] for b in new), + 'Disjoint prior H jobs') + axes[family].extend(new) + histories[family].append(index) + else: + need(event['kind'] in ('bridge', 'idle_cover_sweep'), 'Actual prefix event') + pairs = [event['pair']] if event['kind'] == 'idle_cover_sweep' else [event['src'], event['dst']] + touched = {896 * event['replica'] + 224 * pair + j for pair in pairs for j in range(224)} + need(not owners.keys() & touched, 'No prior idle or bridge on H owner') + old_records = {r['role']: r for r in recorded['H2_records']} + ranks = Counter() + for index, slot in slots[10]: + role = 224 + slot['helper'] + if role not in helpers: + continue + family = slot['family'] + need(owners[family] == role and slot['width'] == 9, 'Actual full width-nine H job') + route = call['owners'][role][1] + need(route == [3, slot['child'], slot['offset']], 'Exact H owner route') + pending = phases['recipes'][slot['port']]['idle_children'][slot['child']]['orthogonal_axes'][slot['offset']:slot['offset'] + 9] + need(all(not ((a & b).bit_count() % 2) for a in axes[family] for b in pending), + 'No completed local H axis') + sigma = pending + [v for v in bases[slot['port']] if v not in pending] + need(len(set(sigma)) == 73, 'Complete H invocation chart') + old = old_records[role] + need(old['family'] == family and old['source_job'] == index and old['sigma_columns'] == sigma, + 'Source-bound H chart') + need([item['source_job'] for item in old['history']] == histories[family], 'All prior H jobs') + invocation = sum(1 << j for j, axis in enumerate(sigma) if axis in axes[family]) + need(old['invocation_axis_mask'] == invocation and not invocation & 511, + 'Exact exterior H frame') + need(old['invocation_rank'] == len(axes[family]), 'Exact H exterior rank') + ranks[len(axes[family])] += 1 + need(sum(map(len, histories.values())) == 142, 'All 142 prior H jobs') + need(ranks == {0: 20, 1: 23, 9: 29, 10: 2, 14: 3, 15: 9, 24: 29}, 'H rank distribution') + return dict(actual_call_time=10, schedule_position=18, helper_owners=115, + prior_helper_jobs=142, prior_active_idle_bridge_uses=0, + local_width=9, exterior_rank_counts=dict(sorted(ranks.items()))) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--repo', type=Path, required=True) + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + packet = args.repo / PACKET + files = {name: read_pin(packet / name, pin) for name, pin in PINS.items()} + for name, pin in INHERITED.items(): + read_pin(args.repo / LANES / 'interface-proof' / name, pin) + raw = gzip.decompress(files['FULL-EXIT-READERS-PROGRAMS.json.gz']) + need(sha256(raw).hexdigest() == '9f7a77d8cc2c2de149c8870c0223b7ce3c1ec754784725e2976bef75d1aeb422', 'Payload pin') + payload, receipt = json.loads(raw), json.loads(files['FULL-EXIT-READERS.json']) + archive_path = args.repo / ARCHIVE + read_pin(archive_path, ARCHIVE_PIN) + data = {} + with tarfile.open(archive_path) as archive: + for key, (name, pin) in MEMBERS.items(): + member = archive.extractfile(name).read() + need(sha256(member).hexdigest() == pin, 'Member pin: ' + key) + data[key] = json.loads(gzip.decompress(member) if name.endswith('.gz') else member) + old, word = data['program']['forward'], data['word'] + begin, end = old.index(['phase', 'centers']), old.index(['phase', 'B']) + readers = [backward_reader(old[:begin], target) for target in word['centers']] + R = [{i: q for i, q in row.items() if i < 112} for row in readers] + H = [{i: q for i, q in row.items() if 224 <= i < 704} for row in readers] + need(all(set(row) <= set(r) | set(h) for row, r, h in zip(readers, R, H)), 'No target or private read') + need(sum(map(len, R)) == 448 and sum(map(len, H)) == 404, 'Independent reader term counts') + helper_support = set().union(*map(set, H)) + support = set(range(112)) | helper_support + need(len(helper_support) == 115 and len(support) == 227, 'Exact reader support') + need([{str(i): str(q) for i, q in row.items()} for row in readers] == payload['reader_rows'], + 'Reverse-derived reader rows equal the literal payload') + cut = max(i for i, event in enumerate(old) if event[0] == 'scalar') + need(cut == payload['insert_after_base_event'] == 24525, 'Exact scalar cut') + frames, _ = frame_check(old[:cut + 1], word) + need(all(frames[i] == word['final'][i] == 1 for i in support), 'Every read is at spatial FULL') + need(all(word['start'][i] == 0 for i in helper_support), 'All used helpers start at local I') + need(set(word['frames'][1]) == {1 << j for j in range(9)}, 'Exact FULL frame axes') + tail = old[cut + 1:] + need(len(tail) == 241 and sum(e[0] == 'residual_adapter' for e in tail) == 240, + 'Complete residual tail') + need(all(e[0] == 'phase' or e[0] == 'residual_adapter' and e[2] not in support for e in tail), + 'No later adapter touches the read roles') + recipe = [] + for k, row in enumerate(readers): + recipe.append(['scalar', ['clear', ['C', k]], 1]) + recipe.extend(['scalar', ['add', ['C', k], ['L', i], q.numerator, q.denominator], 1] + for i, q in sorted(row.items())) + need(recipe == payload['reader_recipe'], 'Independent literal reader reconstruction') + need(sum(cost(e) for e in recipe) == receipt['reader_real_primitives'] == 6988, 'Complete reader scalar invoice') + variants = {} + baseline = {} + for name, omit in (('original_with_owned_readers', False), ('centre_omitted_with_owned_readers', True)): + base = [e for i, e in enumerate(old) if not (omit and begin <= i < end)] + expected = [e for i, e in enumerate(old[:cut + 1]) if not (omit and begin <= i < end)] + recipe + tail + program = payload['programs'][name] + need(program == expected, 'Exact changed word and chronology') + base_map, new_map = replay(base), replay(program) + need(new_map[:704] == base_map[:704] and new_map[704:] == readers, 'All 712 columns and outputs') + need(all(new_map[i] == {i: Q(1)} for i in support | set(range(224, 704))), + 'Source and arbitrary helper restoration') + need(not any(i >= 704 for row in new_map for i in row), 'No arbitrary private input leak') + final_frames, gate_count = frame_check(program, word) + need(final_frames == word['final'] + [1] * 8, 'All persistent and private endpoint frames') + native = lambda events: [e for e in events if e[0] in ('climb', 'adapter', 'residual_adapter')] + need(native(program) == native(old) and len(native(program)) == 5056, 'Complete persistent native stream') + counts = dict(scalar_real_primitives=sum(cost(e) for e in program if e[0] == 'scalar'), + centre_children=sum(e[0] == 'center' for e in program), persistent_native_events=5056) + need(counts == receipt['variants'][name], 'Complete local scalar invoice') + variants[name] = dict(**counts, scalar_frame_checks=gate_count, arbitrary_input_columns=712) + baseline[name] = base_map + original_map = baseline['original_with_owned_readers'] + omitted_map = baseline['centre_omitted_with_owned_readers'] + for p in range(112): + need(original_map[p + 112] == {p: Q(1), p + 112: Q(1)}, 'Original identity shear') + expected = dict(original_map[p + 112]) + for k in range(8): + add(expected, readers[k], -R[k].get(p, 0) / 4) + need(omitted_map[p + 112] == expected, 'Exact omitted-centre target debt') + dirty = replay(recipe[1:], omitted_map) + source_only = [e for e in recipe if e[1][0] == 'clear' or e[1][2][1] < 112] + helper_only = [e for e in recipe if e[1][0] == 'clear' or e[1][2][1] >= 224] + controls = dict(missing_private_clear=dirty[704].get(704) == 1, + missing_helper_part=replay(source_only, omitted_map)[704:] == R and R != readers, + missing_source_part=replay(helper_only, omitted_map)[704:] == H and H != readers, + private_exit_is_not_zero=any(readers)) + wrong_recipe = [e[:] for e in recipe] + wrong_recipe[1] = [recipe[1][0], recipe[1][1], 0] + try: + frame_check(old[:cut + 1] + wrong_recipe + tail, word) + controls['wrong_reader_frame_rejected'] = False + except ValueError: + controls['wrong_reader_frame_rejected'] = True + need(all(controls.values()), 'Meaningful reader controls') + owner_check = check_owners(data['global'], data['phases'], helper_support, + json.loads(files['DIRTY-READER-REUSE.json'])) + transport = check_transport(data['phases'], receipt['physical_transport_terms']) + result = dict(status='PASS_INDEPENDENT_FULL_EXIT_READERS', packet_pins=PINS, + archive_sha256=ARCHIVE_PIN, members=MEMBERS, inherited_native_proofs=INHERITED, + reverse_derived_reader_count=8, source_terms=448, helper_terms=404, + full_read_roles=227, insert_after_base_event=cut, untouched_tail_adapters=240, + reader_ADDs=852, reader_CLEARs=8, reader_real_primitives=6988, + new_native_children=0, variants=variants, controls=controls, + actual_F2_owner_check=owner_check, exact_transport_check=transport, + reader_rows_sha256=sha256(encode(payload['reader_rows'])).hexdigest(), + review_scope='Exact local scalar maps, literal frames, new read placement, current F2 helper histories and transport phases. Old native kernels are inherited.', + open=['Cross-cover record allocation', 'Cross-call retention', 'Full changed controller', + 'Physical recursive invoice and precision', 'Supplier or kappa improvement']) + args.out.parent.mkdir(parents=True, exist_ok=True) + args.out.write_text(json.dumps(result, sort_keys=True, indent=2) + '\n') + print(result['status']) + print(json.dumps(dict(reader_real_primitives=6988, variants=variants, F2_helper_owners=115), sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/DIRTY-ECHO.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/DIRTY-ECHO.md new file mode 100644 index 0000000000..410493011d --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/DIRTY-ECHO.md @@ -0,0 +1,264 @@ +# Eight dirty records with an exact erase query + +This note proves a conditional replacement for the sixteen owned records +in the first common-F recovery. Eight T records are removed. The other +eight records can use arbitrary borrowed fields. The repair then gives + + data = z + E h, donors = h + G z, G E = 0. + +Here z is the original logical pair of 224 fields, and h consists of the +eight arbitrary donor values in the repair coordinates. The exact inverse +is + + h = donors - G(data), z = data - E h. + +No donor is cleared. No extra output bank is used. One owned scalar scratch +field is enough for the row operations. This result does not allocate the +donors in the 482-event schedule. It does not make the future read G legal +in the current native frame. Those are separate conditions. + +The [check](check_dirty_echo.py) and [receipt](ALGEBRA.json) use the actual +QQ16 matrix and the frozen common-F repair tail. The exact cleanup rows +are in [FUTURE-READ-ROWS.json](FUTURE-READ-ROWS.json). The source pins and +all output pins are in [MANIFEST.json](MANIFEST.json). + +## Source and notation + +The consumed sources are the private +[common-F proof](../../../paired-package-review/upstream-followthrough-20261015/COMMON-F-RESTORATION.md) +and the two earlier storage notes: +[relative dirty transport](../../../source-domain/carried-owner-reuse/RELATIVE-REUSE.md) +and [idle swaps](../../../source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.md). +The source bytes remain unchanged. The parent worker supplied the T-record +reduction and the candidate A-record residue. This note proves and checks +their composition and the erase query. OpenAI Codex was used for this work. + +Use the literal selected sets + + A = [0,7,20,27,36,46,57,111], + T = [21,37,47,76,81,87,92,110], + V = A union T, U = the other 96 ports. + +Let R be the source 8 by 112 scalar matrix. Its restricted Gram matrices +are R_A R_A^t = R_T R_T^t = 4I and R_U R_U^t = 48I. For stage s, let +D_(s,p) be the actual involutive owner route. Define + + ell_(s,S) v = sum_(p in S) R_p D_(s,p) v_p, + (P_(s,S) f)_p = D_(s,p) R_p^t f / 4. + +Write R_s = ell_(s,all), and K_(s,U) = P_(s,U). The stage-0 route is +identity. Thus P_(s,T) is the inverse of ell_(s,T), and the same statement +holds for A. All products below retain their order. In particular, define + + N2 = P_(2,A) ell_(2,U union T), J0 = P_(0,T) ell_(0,A). + +Let (x1,y1) be the logical F0 output and (x2,y2) the logical B1 output. +The boundary is the same as in the consumed common-F proof. For raw entry +arrays (a,b), the recovered physical output is (F_U1 Q^-1 a, F_U1 b). +This note does not remove the initial Q factor. + +## Remove the eight T records + +The actual B1 query exchange gives + + R1 y2 = ell_(1,T) x1_T. + +To check this identity, put a = ell_(1,T) x1_T. The query-exchange output +v has R1 v = a. The final U and T transvections add K_(1,U) a and +-12 P_(1,T) a. Their contributions to R1 y2 are 12a and -12a, respectively. + +After all 112 positive Y lines, both data banks have common frame F_U1. +Before any Y field outside T is changed, set B = P_(1,T) ell_(1,U union A) +and apply + + Y_T += X_T + X_T = -X_T + Y_T + B Y_(U union A). + +Each right-hand side uses the values indicated by this order. The new +X_T is y2_T + B y2_(U union A) = P_(1,T) R1 y2 = x1_T. The new Y_T is +x2_T + y2_T = x_T + y_T. The eight T fields therefore have the same values +as after the old record exchange. No T record is needed. + +The current-chart read uses all 112 original Y fields in the equation +R1 y2. Its implementation only needs the 104 off-T Y sources in B, since +the old Y_T appears in the in-place operation. The current-chart cover +intertwiner from the source proof supplies these routes. The new scalar +order and cover sweeps must be included in the new invoice. + +## Use eight dirty A records + +At the repair cut, suppose the decoded donor on each A port is + + r_A = h + x1_A. + +There is no assumption on h. First set Y_A += X_A. Then use these four +ADD operations, with each right-hand side read after the previous line: + + X_A += r_A + r_A -= X_A + X_A += r_A + r_A += X_A. + +The first three operations put h+x1_A in X_A and -x2_A in r_A. The final +ADD retains the residue instead of clearing the donor. Since the B1 +future logger gives + + y2_A = y1_A + N2 y1_(U union T), + x2_A = x1_A - N2 y1_(U union T), + +the retained donor is + + r_A = h + N2 y1_(U union T). + +Now run the old common-F tail. It uses the recovered X_T to remove the +current-chart correction from Y_U, recovers X1_U, applies the F0 X inverse, +and subtracts the selected recovered X fields from the selected Y sums. +Before the F0 inverse, its only X error is +h on A. The exact F0 inverse +therefore leaves the following error E h: + + delta X_A = -h, delta Y_A = h, + delta X_T = J0 h, delta Y_T = -J0 h, + delta X_U = 0, delta Y_U = 0. + +This formula includes both selected banks. It does not discard donor +dirt into an unreported data output. + +## Recover the exact erase query + +For an arbitrary pair (X,Y), define f = R0 X and the 104 virtual fields + + u_U = Y_U + X_U - K_(0,U) f, + u_T = X_T + Y_T - P_(0,T) f. + +For the original pair z=(x,y), these fields are exactly y1_(U union T). +For the perturbed pair z+E h, they have the same values. In fact, + + R0 delta X = -ell_(0,A) h + ell_(0,T) J0 h = 0, + delta X_V + delta Y_V = 0, + delta X_U = delta Y_U = 0. + +Define G(X,Y) = N2 u. These identities prove G E = 0 without moving a +stage-2 route through an earlier query. Thus, at the dirty repair output, + + G(data) = N2 y1_(U union T) = G z. + +Subtract this read from the eight donors. They now equal h. Use the +restored donors to correct the data in this order: + + X_A += h; Y_A -= h; + X_T -= J0 h; Y_T += J0 h. + +Every original data field and every donor is restored. The donors remain +unchanged during the final correction. The complete joint linear map has +blocks [[I,E],[G,I]], with Schur complement I-GE=I. It is invertible on +all independent data and donor inputs. + +No array of 104 virtual fields is required. A row of G is a known finite +linear combination of reads from the existing data fields. Form one row +in the owned scratch C, subtract it from its donor, clear C, and then form +the next row. The eight donor writes do not affect any source of G. The +same row method computes J0 h. This proves the storage statement; the +physical legality and cost of those routed reads remain separate. + +For this joint state, the read G is necessary for linear donor restoration. +If A r + L data = h for every z and h, its z coefficient gives L=-A G. +Its h coefficient then gives A+L E=A(I-GE)=I. Hence A=I and L=-G. +This is a statement about this representation. It is not a lower bound +on every possible reversible storage construction. + +If N2 is already legal at the B1 cut, even the A records can be removed: +recover y1_(U union T) from T and U first, then use +x1_A = x2_A + N2 y1_(U union T). The dirty construction instead permits +this same future read to be postponed. + +## Physical donor transport and a postponed erase + +The equation r=h+x1_A is conditional on an exact transport identity. Let +an old donor have arbitrary physical baseline a at capture. Let T_d be +its original complete interval operator, and let M be a chosen cover +reindexing. A sufficient condition is + + T_d M F_L = M F_U1. + +Capture adds M F_L x1_A to a. At the repair cut the donor is then + + T_d a + M F_U1 x1_A = M F_U1 (h+x1_A), + h = F_U1^-1 M^-1 T_d a. + +This does not require a to have the query's entry frame. Decode a donor +read with M^-1 and encode a donor write with M. The scalar exchange above +then acts on the stated physical arrays. After the erase, the donor is +T_d a, its required value in the original schedule. It need not equal its +earlier baseline a if the original interval advances that baseline. + +Every helper use in the interval must have the complete two-sided source +contract on arbitrary inputs. No other data or scalar use can be ignored. +A mismatched native advance is not free: it must be compensated, or the +stated restoration fails. The parent worker is checking these intervals +against the actual schedule. This note does not perform that check. + +There is also an exact delayed form. Suppose the data and donor contents +then advance separately by invertible operators D and K. Their values are + + D(z+E h), K(h+G z). + +Read K G D^-1 from the current data and subtract it from the donors. The +donors become K h because G E=0. Then subtract D E K^-1 of those donors +from the current data. The data become D z. An actual delayed implementation +must supply these two reads in the actual frames. It must prove the stated +separate advances D and K. This formula is not a schedule or a permission +to commute a helper job through an unproved data operation. + +## Exact access obligation and a scoped route obstruction + +The erase read needs R0 X from the current data, the displayed 104-field +alias, and the actual future operator P_(2,A) ell_(2,U union T). The final +correction also needs J0 h. At a delayed cut these obligations become +K G D^-1 and D E K^-1. A later full native frame alone is not a proof of +the required content alias. + +The checker finds a specific nonzero term in G: donor A port 0 has the +coefficient 1/2 on + + D_(2,0) D_(2,1) Y_1. + +Port 1 belongs to U. The actual 73-axis owner matrix of this word sends +the unit vector at axis 17 to the bit mask 1310731. Every stage-1 route +fixes each E2 axis, 17 through 24, pointwise. Thus no product of stage-0 +and stage-1 routes gives this owner word. On independent full-cover source +arrays, a linear combination of reads at those earlier owner routes +cannot replace this term. This obstructs only that route class. It does +not exclude a legal native adapter, a later alias, or another representation. + +## Executed checks and limits + +Run from the workspace root with standard-library Python: + +```sh +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 VECLIB_MAXIMUM_THREADS=1 python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/check_dirty_echo.py +``` + +Expected status: `PASS_EIGHT_DIRTY_DONOR_ECHO_ALGEBRA`. + +The check uses all 224 independent original data columns, eight independent +donor columns, and one arbitrary owned scratch column. It checks the new +T operation, all A exchanges, the 1,853 emitted events formed from the A +exchange and frozen scalar tail, every data error row, the exact donor +residue, G E=0, the erase, and all final data and donor rows. It verifies +all 224 actual stage-1 and stage-2 owner involutions on 73 axes. The free +ordered route algebra only reduces an adjacent identical involution pair. +It does not use accidental route relations to make an identity pass. + +G has eight rows, 22,048 routed terms, 216 distinct original source columns, +and route words of length at most two. These are formal row counts, not +native operation costs. Controls reject use of the dirty record as a clean +record, omission of G, the old record erase after the new exchange, and +clearing the borrowed donors. + +The check does not replay the physical record lift or the 112 positive +Y lines; it starts the repair from their stated common logical frame. +It does not assign old donors or new child helpers. It does not check the +482-event delayed data path, the physical phase of the future read, or a +finite-precision implementation. The earlier sixteen-owned-record guard +bound and invoice do not transfer to this new word. No new complete native +profile, stream cost, controller, supplier, or kappa result is claimed. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json new file mode 100644 index 0000000000..17ac4c5398 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json @@ -0,0 +1 @@ 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"target_inverse_sha256": "5db0661966643af4848463f4b98cf880fc3bc3e43d71e77baa18dbce4c5d4ada", + "target_precode_sha256": "b119dc5c77888c0353b814d76eacad48ea95d53e30328543513ffe25a6be1728", + "unmasked_query_collision": { + "all_named_FULL_observations_unchanged": true, + "changed_original_Y_port": 1, + "compensation_ports": [ + 0, + 7, + 20, + 27, + 36, + 46, + 57, + 111 + ], + "erase_query_changed": true + } +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.json new file mode 100644 index 0000000000..937d3cbeb6 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.json @@ -0,0 +1,51 @@ +{ + "coverage": { + "actual_orthogonal_minor_and_dyadic_section": true, + "all_final_literal_matrices_and_26587_events_compared": true, + "arbitrary_donor_restoration": true, + "both_target_inverse_orders_and_full_joint_inverse": true, + "exact_frozen_donor_erase_rows": 8, + "full_712_native_word_replayed_by_this_review": false, + "general_mask_and_source_query_identity": true, + "new_global_schedule_replayed": false, + "new_literal_prefix_and_suffix_all_data_columns": true, + "ordered_conditional_F2_read_columns": 360 + }, + "files": { + "CHECK.json": "140361c521c6a9c8293a48030a7517658ff8ef305234b582768a0d537751ca9f", + "REVIEW.md": "899cc3965931df85fd3217e9812b757085a79c7339bea89577905598dee189a1", + "check_masked_query.py": "a734b7a6894cd076c3bf4f7bc9cf809f0be7f77a470c6b6e6381908a4707bba1" + }, + "final_masked_sum_payload_sha256": "42a9d4bab68fe25f5592a4105b0b7cefa289187165f1d3dd0db6540afca98263", + "findings": [ + { + "detail": "Use pi_U C^-1 P_A. C^-1 P_A is a right inverse but need not have support in U.", + "material": false, + "topic": "Supported section in the necessity argument" + } + ], + "limits": [ + "The algebraic inverse does not admit cross-frame scalar gates.", + "The old full-W all-output dirt receipt does not transfer to this selected-port substitution.", + "No new global output map, recursive hosting, precision bound, supplier, or kappa claim.", + "The source note diagnostic global counts are not accepted as a global schedule certificate.", + "No later B3 admission or retirement of the mixed target code." + ], + "native_evidence": "Exact native records and endpoint types are inherited from the pinned independent UNIT-REVIEW. No native kernel was rerun.", + "source_pins": { + "work/centre-encoding-campaign-20261014/lanes/coherent-port/current-query-review-20261015/UNIT-REVIEW.json": "58620b41e6b6aef4250bea4c4b4e66ab4c8fd03cd8bdd1f438a61377f297e756", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/CURRENT-QUERY-PROGRAM.json.gz": "b4d5cba37c696d1c31f530b3aa4f01535718972227f8b63d626125f35046d09e", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY-PROGRAM.json.gz": "75e3e04f79d319f0024d9139d1dceaeeb2fb8e741f6e31a6079000c219c4eaa2", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/current-query-encoder/UNIT-QUERY.md": "6f53e12ba5144c8eb9df5de7eb3e19e7e0c7c1e1119db3e8116a2e643662f3a7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/full-exit-readers-review/check_review.py": "e59b1fe12a62e8de01eae9dd25b415524f8e43c56806f1e05a8d1d7d00b70168", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/DIRTY-ECHO.md": "a707837cd29f8cd157a35f666e27c354063a9b5e2c2e1f673f4121a3c3dc2dd2", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json": "bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/MASKED-QUERY.md": "af7d8c132528da939a01bdbfa49a643697e4ef6c388642de6c8ca9f1fdc6fdd3", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_masked_query.py": "809509a2c41c947a4ea64fcb579b739b24fe6020e59eaa1dae3d8f38e63cfaed", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY-PROGRAM.json.gz": "a4fc54c4af9d3f65e60b025ee26a144d133ae935774d73bbb48d5c7d39ef8581", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY.json": "b6ad9e6705aefb35e2f7ed621334151710b2a31765f4c51f76f26641394d2d0a" + }, + "status": "PASS_INDEPENDENT_MASKED_CURRENT_QUERY_REVIEW", + "write_scope": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.md new file mode 100644 index 0000000000..579a0beeab --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.md @@ -0,0 +1,258 @@ +# Independent review of the masked current query + +The masked unit is valid. Its selected query is R_U(x+y). It adds 64 +half ADDs before the accepted UNIT-QUERY prefix. It changes the final +source correction to 384 unit ADDs and 32 half ADDs. The complete local +word has 26,587 events and scalar cost 213,466 in the inherited invoice. +The native word and its eight positive selected lines do not change. + +The conditional F2 read also passes. On 360 independent data and donor +columns, the read gives the exact eight donor-erase rows from the frozen +dirty-record algebra. All other-pair and donor coefficients cancel. +This review does not admit the later B3 call or retire the mixed target +code. It does not extend the full-W global output result to this word. + +The checker uses exact rational coefficients and ordered route words. +It imports no producer. It does not replay the complete 712-column native +word. The source pins and coverage are in CHECK.json. REVIEW.json binds +this note, the checker, and that receipt. The prior packets remain fixed. + +The final masked-sum payload is pinned at +42a9d4bab68fe25f5592a4105b0b7cefa289187165f1d3dd0db6540afca98263. +The checker compares every stored matrix and all 26,587 events with its +independent reconstruction. This includes all retained native records. +The inherited UNIT-QUERY independent review is pinned at +58620b41e6b6aef4250bea4c4b4e66ab4c8fd03cd8bdd1f438a61377f297e756. + +## The mask and its inverse + +Let R:V->W. Let A be a set for which R_A is invertible. Put + + L_A = R_A pi_A, P_A = iota_A R_A^-1, + K_A = P_A, K_offA = K-P_A, + R_offA = R-L_A, J = I-KR. + +The accepted unit completion is + + T = (I-K_offA L_A)(I+P_A R_offA), + T^-1 = (I-P_A R_offA)(I+K_offA L_A). + +It satisfies L_A T=R and T-J=P_A(2R-L_A). The checker reconstructs both +matrices from the actual R. It checks both inverse orders and compares +the results with the frozen UNIT-QUERY payload. + +Let V0=A union T_ports and U be its complement. Write + + L_V0 = R pi_V0, R_U = R pi_U. + +Suppose P_U has support in U and R_U P_U=I. Define N=P_U L_V0. The +disjoint supports give L_V0 P_U=0, so N^2=0. Thus + + B = I-N, B^-1 = I+N, + R B = R-R P_U L_V0 = R-L_V0 = R_U. + +No input value is assumed to be zero. B preserves every V0 coordinate. +It adds a known combination of these values to U. The inverse subtracts +that change. Both operations preserve arbitrary data. + +The section condition is also necessary for an invertible C with +L_A C=R_U. The exact supported section is pi_U C^-1 P_A: + + R_U pi_U C^-1 P_A=R_U C^-1 P_A=L_A P_A=I. + +C^-1 P_A alone is a right inverse but need not have support in U. The +projection makes the support condition explicit. This is a clarification +of the source proof's necessity argument, not a failure of its theorem. + +The actual selected sets and section are + + A = [0,7,20,27,36,46,57,111], + T_ports = [21,37,47,76,81,87,92,110], + H = [1,6,22,28,33,49,58,109]. + +All H ports lie in U. The exact matrix has R_H R_H^t=4I and determinant +-256. Therefore the section has rows R_p^t/4 on H and zero rows elsewhere. +The separate minor [1,2,3,4,5,6,8,12] has determinant -32. This second +minor confirms dyadic admission but is not used by the word. + +B-I has 64 nonzero coefficients: forty -1/2 and twenty-four +1/2. Each +ADD reads a V0 field and writes an H field. Thus none of these writes +changes a later mask source. All 64 gates run on Y at its input I frame. +They use no scratch, native child, cover map, or extra private field. + +## The source query can be chosen independently + +Let D:V->W be any linear map with available coefficients. Define + + S_D = P_A(D-L_A J), H_D = J+S_D. + +Then S_D is supported on A and L_A H_D=D. Apply the following blocks: + +1. Apply B to Y at I. +2. Apply the two accepted T factors to Y at I, in their existing order. +3. Run the complete accepted clean-J core. +4. Run the same eight positive C_q lines on Y_A. +5. Add S_D X to Y_A in the completed frame. + +Before the final source correction, the logical target is Jx+TBy. +After the correction, the joint logical map is + + X_out=x, Y_out=H_D x+T B y, + L_A Y_out=D x+R_U y. + +The target precode is T B. Its inverse is B^-1 T^-1. The joint data map +is invertible even if H_D is not a unit: + + x=X_out, + y=B^-1 T^-1 (Y_out-H_D X_out). + +For the final specialization D=R_U, + + H_D=T-P_A L_V0, + S_D=P_A(2R_U+L_T), L_T=R pi_T_ports, + L_A Y_out=R_U(x+y). + +The source correction has 384 coefficients of magnitude one and 32 of +magnitude one half. It has no coefficient from x_A. Its scalar cost is +384*8+32*10=3,392, equal to the old 424-unit-ADD correction. There are +eight fewer suffix events. The mask adds 64 events and cost 640. Thus +the total is 26,531-8+64=26,587 events and 212,826+640=213,466. + +The unchanged complete native profile is inherited from UNIT-QUERY: +{1:2420,2:418,3:432,4:142,5:82}, with mass 5,530. The mask and replacement +suffix add no native child or native wrapper. The selected eight lines +already account for eight rank-one children and sixteen wrappers in that +profile. This review checks their exact retention; it does not rerun their +native kernels. No global read, hosting, bridge, or stream cost is added +to this local scalar total. + +For D=0, the same identity gives a pure target query. Its source suffix +cost is 4,160 and its local scalar total is 214,234. This is a checked +matrix and count consequence. No separate literal D=0 packet is accepted. + +The old core supplies the complete map on all 480 arbitrary helpers and +the eight owned scratch fields. The new gates touch only data. Thus this +composition uses that arbitrary-input contract without a new helper +baseline assumption. All eight owned private fields still end at zero. + +## Conditional read after the selected-port F2 step + +Use the routed operators from the frozen dirty algebra. For stage s, let +R_s be the sum of R_p D_(s,p), with the owner route on the right. Let +P_(s,S) have rows D_(s,p) R_p^t/4 on S. Stage 0 has the identity route. +Products below retain their displayed order. + +The dirty repair state is d=z+E h, for z=(x,y), with + + d_X,A=x_A-h, d_Y,A=y_A+h, + d_X,T=x_T+J0 h, d_Y,T=y_T-J0 h, + d_X,U=x_U, d_Y,U=y_U, + J0=P_(0,T) R_(0,A). + +In particular, R_0 d_X=R_0 x and d_X,T+d_Y,T=x_T+y_T. + +At the first selected-port swap, let c be the other pair's X values. +The conditional F2 entry is + + l_V0=c_V0, l_U=x_U+c_U, + v_U=y_U, v_V0 arbitrary. + +The current source X output remains l. The other pair retains c_U on U +and the parked d values on V0. At the cut after its old idle, suppose +these X fields and the parked selected sums have common frame F_U2. +The eight selected Y_A query fields have that frame as well. This is +the physical read condition; this algebra check does not establish the +new global owner schedule. + +The masked query is + + q=R_(2,U)(l_U+v_U). + +From the current read fields form + + f=R_(0,U)(l_U-c_U)+R_(0,V0)d_X,V0=R_0 x. + +Then the required query before the final A scatter is + + q - R_(2,U)c_U + + R_(2,T)(d_X,T+d_Y,T) + - R_(2,offA) P_(0,offA) f + = R_(2,offA) y1_offA. + +Here the source F0 identities give + + y1_U=y_U+x_U-P_(0,U)R_0 x, + y1_T=x_T+y_T-P_(0,T)R_0 x. + +Apply P_(2,A) to the displayed query. The result is exactly Gz, the +frozen eight-row donor erase query. The checker compares all coefficients +with FUTURE-READ-ROWS.json. There are 22,048 terms on 216 original source +columns, with route length at most two. The row digest is + + 4f096fac6482c0473241af7cde1e9659431d78736c376b92bb00f83bf6de0e61. + +The proof does not commute a stage-2 route through P_(0,offA) or R_0. +The checker reduces only adjacent equal involutions. It starts with +independent x, y, c, sixteen v_V0 values, and eight h values: 360 columns. +Every c, v_V0, and h coefficient cancels from the final read. + +This read needs the eight completed query Y_A fields, current l_U, other +pair c_U, parked d_X,V0, and parked d_Y,T. It does not read any mixed-frame +F2 Y outside A. Each current route read still needs its exact cover-map +intertwiner in the common frame. This is an access condition, not a free +permutation claim. + +The donor state h+Gz can now be reduced to h by this read. It uses no +destructive donor CLEAR. The final E correction uses the restored donor +values and touches only the parked selected data fields. In the stated +logical representation, all donor baselines and original data values are +restored. This is a local identity relative to the corresponding clean +selected-port construction. It does not identify that construction's +complete global output map. + +## Order controls and verification limits + +The checker rejects B T in place of T B. Since L_A B=L_A, the wrong +order gives L_A B T=R, so selected target inputs still occur in the query. +For example, target input port 0 has coefficient one in query row 0. +The checker also rejects the wrong mask sign, an omitted mask, an omitted +source correction, the old unmasked source correction, and missing terms +from the F2 compensation formula. + +There is an exact obstruction to replacing the masked query with the +unmasked query while keeping only the other named FULL observations. +Change y_1 by an arbitrary field e and change the independent target +v_A by -P_(2,A) R_(2,{1}) e. The unmasked selected query does not change. +Neither the FULL source l nor the other named parked values change. +The required erase query changes by P_(2,A) R_(2,{1}) e, which is nonzero. +The checker verifies both the collision and this nonzero difference with +ordered route words. This obstruction concerns that observation set. + +The new prefix is replayed on all 112 independent target inputs and an +arbitrary owned scratch input. The new suffix is replayed on all 224 +independent data inputs at its stated completed frame. Both matrix +inverse orders and the full joint data inverse are checked. The retained +core and native lines are compared with the frozen predecessor. + +Run from the repository root: + +```sh +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 VECLIB_MAXIMUM_THREADS=1 python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/check_masked_query.py +``` + +Expected status: PASS_MASKED_QUERY_ALGEBRA_AND_CONDITIONAL_F2_READ. + +The algebraic inverse does not make scalar ADDs legal across different +native frames. The output still has X:F, Y_A:F, and Y_offA:F C_q^-1. +This review does not run the complete 712-column source emitter, the +482-event global schedule, native kernel phases, or a finite-precision +implementation. It does not prove later B3 admission, retirement of T B, +new recursive child hosting, a complete supplier, or a kappa improvement. +The prior full-W all-output dirt receipt remains separate. +The source note's global diagnostic count comparisons are not a new +schedule certificate and are not accepted as one by this review. + +The parent worker supplied the mask, both minor candidates, and the +independent source-query specialization. The earlier dirty-record work +supplied E and G. This independent check reconstructs the matrix and read +identities. OpenAI Codex was used under the user's research instructions. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/check_masked_query.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/check_masked_query.py new file mode 100644 index 0000000000..4509c53bfe --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/check_masked_query.py @@ -0,0 +1,407 @@ +"""Check the input mask and the conditional F2 read with exact rows. + +Do not import a producer or replay the complete native word. +""" + +import argparse +from collections import Counter +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +ROOT = Path('/Users/aliromman/Projects/IntegerMultiplicationBounds') +LANES = ROOT / 'work/centre-encoding-campaign-20261014/lanes' +SOURCE = LANES / 'paired-package-review/upstream-followthrough-20261015' +HERE = Path(__file__).resolve().parent +A = (0, 7, 20, 27, 36, 46, 57, 111) +TP = (21, 37, 47, 76, 81, 87, 92, 110) +V0 = A + TP +U = tuple(p for p in range(112) if p not in V0) +OFF_A = tuple(p for p in range(112) if p not in A) +H = (1, 6, 22, 28, 33, 49, 58, 109) +GREEDY = (1, 2, 3, 4, 5, 6, 8, 12) +PINS = {} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def read(path, expected, compressed=False): + raw = path.read_bytes() + digest = sha256(raw).hexdigest() + need(digest == expected, 'Source pin: ' + str(path)) + PINS[str(path.relative_to(ROOT))] = digest + return gzip.decompress(raw) if compressed else raw + + +def add(a, b, c=Q(1)): + out = dict(a) + for key, value in b.items(): + out[key] = out.get(key, 0) + c * value + if not out[key]: + del out[key] + return out + + +def scale(row, c): + return {key: c * value for key, value in row.items() if c * value} + + +def mm(a, b): + result = [] + for row in a: + out = {} + for j, c in row.items(): + out = add(out, b[j], c) + result.append(out) + return result + + +def matadd(a, b, c=Q(1)): + return [add(x, y, c) for x, y in zip(a, b)] + + +def ident(n): + return [{i: Q(1)} for i in range(n)] + + +def parse(rows): + return [{int(p): Q(v) for p, v in row.items()} for row in rows] + + +def serial(rows): + return [{str(k): str(v) for k, v in sorted(row.items())} for row in rows] + + +def determinant(rows): + rows = [list(row) for row in rows] + result = Q(1) + for j in range(len(rows)): + k = next((k for k in range(j, len(rows)) if rows[k][j]), None) + if k is None: + return Q(0) + if j != k: + rows[j], rows[k] = rows[k], rows[j] + result = -result + pivot = rows[j][j] + result *= pivot + for k in range(j + 1, len(rows)): + factor = rows[k][j] / pivot + rows[k] = [a - factor * b for a, b in zip(rows[k], rows[j])] + return result + + +def price(events): + total = 0 + for event in events: + if event[0] != 'scalar': + continue + gate = event[1] + if gate[0] in ('clear', 'copy'): + total += 2 + continue + c = Q(*gate[-2:]) + a, b = abs(c.numerator), c.denominator + need(a and b & (b - 1) == 0, 'Dyadic scalar') + if gate[0] == 'scale': + need(a & (a - 1) == 0, 'Power-of-two SCALE') + total += 2 * (abs(a.bit_length() - b.bit_length()) + (c < 0)) + else: + need(gate[0] == 'add', 'Known scalar gate') + total += 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + return total + + +def scalar_replay(events, rows, required_frame=0): + rows = {k: dict(v) for k, v in rows.items()} + for kind, gate, frame in events: + need(kind == 'scalar' and frame == required_frame, 'Scalar gate in the required frame') + op, dst = gate[:2] + dst = tuple(dst) + if op == 'clear': + need(dst[0] == 'C', 'Only owned scratch may be cleared') + rows[dst] = {} + elif op == 'scale': + rows[dst] = scale(rows[dst], Q(*gate[-2:])) + elif op == 'add': + rows[dst] = add(rows[dst], rows[tuple(gate[2])], Q(*gate[-2:])) + else: + raise ValueError('Unexpected input gate') + return rows + + +def basis(name): + return {(name, ()): Q(1)} + + +def move(row, port): + letter = (2, port) + out = {} + for (source, path), c in row.items(): + path = path[1:] if path and path[0] == letter else (letter,) + path + key = source, path + out[key] = out.get(key, 0) + c + return {key: c for key, c in out.items() if c} + + +def query(bank, ports, matrix, routed): + out = [{} for _ in range(8)] + for p in ports: + row = move(bank[p], p) if routed else bank[p] + for k in range(8): + out[k] = add(out[k], row, matrix[k].get(p, 0)) + return out + + +def scatter(rows, ports, matrix, routed): + out = {} + for p in ports: + row = {} + for k in range(8): + row = add(row, rows[k], matrix[k].get(p, Q(0)) / 4) + out[p] = move(row, p) if routed else row + return out + + +def route_serial(rows): + return [[p, [[name, [list(letter) for letter in path], str(c)] + for (name, path), c in sorted(row.items())]] + for p, row in sorted(rows.items())] + + +def route_summary(rows): + terms = [item for row in rows.values() for item in row.items()] + return dict(rows=len(rows), terms=len(terms), + distinct_source_columns=len({key[0] for key, _ in terms}), + maximum_route_word_length=max((len(key[1]) for key, _ in terms), default=0), + row_sha256=sha256(json.dumps(route_serial(rows), separators=(',', ':')).encode()).hexdigest()) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, default=HERE / 'CHECK.json') + args = parser.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least three GiB free') + current_dir = SOURCE / 'current-query-encoder' + unit_raw = read(current_dir / 'UNIT-QUERY-PROGRAM.json.gz', + '75e3e04f79d319f0024d9139d1dceaeeb2fb8e741f6e31a6079000c219c4eaa2', True) + need(sha256(unit_raw).hexdigest() == '9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c', 'Unit payload') + unit = json.loads(unit_raw) + current_raw = read(current_dir / 'CURRENT-QUERY-PROGRAM.json.gz', + 'b4d5cba37c696d1c31f530b3aa4f01535718972227f8b63d626125f35046d09e', True) + need(sha256(current_raw).hexdigest() == '75d7f083af8d5687b971aa0c012e201b922f5473a4080869b581b9ba8c195fea', 'Current payload') + current = json.loads(current_raw) + read(current_dir / 'UNIT-QUERY.md', '6f53e12ba5144c8eb9df5de7eb3e19e7e0c7c1e1119db3e8116a2e643662f3a7') + read(SOURCE / 'full-exit-readers-review/check_review.py', + 'e59b1fe12a62e8de01eae9dd25b415524f8e43c56806f1e05a8d1d7d00b70168') + read(HERE.parent / 'DIRTY-ECHO.md', 'a707837cd29f8cd157a35f666e27c354063a9b5e2c2e1f673f4121a3c3dc2dd2') + inherited_review = json.loads(read(LANES / 'coherent-port/current-query-review-20261015/UNIT-REVIEW.json', + '58620b41e6b6aef4250bea4c4b4e66ab4c8fd03cd8bdd1f438a61377f297e756')) + need(inherited_review['status'] == 'PASS_UNIT_QUERY_REVIEW' and + inherited_review['payload_sha256'] == sha256(unit_raw).hexdigest(), 'Exact inherited unit review') + certificate = json.loads(read(SOURCE / 'base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7', True)) + R = parse(certificate['R_rows']) + need(R == parse(current['R']), 'Actual R from both pinned sources') + need(tuple(unit['selected_A']) == A and set(unit['other_Y']) == set(OFF_A), 'Literal selected set') + I, I8 = ident(112), ident(8) + K = [{k: R[k][p] / 4 for k in range(8) if p in R[k]} for p in range(112)] + PA = [row if p in A else {} for p, row in enumerate(K)] + KO = [row if p in OFF_A else {} for p, row in enumerate(K)] + LA = [{p: c for p, c in row.items() if p in A} for row in R] + RO = [{p: c for p, c in row.items() if p in OFF_A} for row in R] + LV = [{p: c for p, c in row.items() if p in V0} for row in R] + RU = [{p: c for p, c in row.items() if p in U} for row in R] + need(mm(LA, PA) == I8 and mm(R, K) == [scale(row, 14) for row in I8], 'Actual A minor and RK') + plus, minus = matadd(I, mm(PA, RO)), matadd(I, mm(KO, LA), -1) + T = mm(minus, plus) + Ti = mm(matadd(I, mm(PA, RO), -1), matadd(I, mm(KO, LA))) + J = matadd(I, mm(K, R), -1) + correction = matadd(T, J, -1) + need(T == parse(unit['T']) and Ti == parse(unit['inverse_T']), 'Independent unit matrices') + need(correction == parse(unit['S']), 'Independent source correction') + need(mm(T, Ti) == mm(Ti, T) == I and mm(LA, T) == R, 'Unit inverse and query') + need({p for p, row in enumerate(correction) if row} == set(A), 'Correction supported only on A') + need(sum(map(len, correction)) == 424 and all(abs(c) == 1 for row in correction for c in row.values()), '424 unit source ADDs') + need(set(H) <= set(U) and set(GREEDY) <= set(U), 'Both candidate minors avoid the mask') + minor = [[R[k].get(p, Q(0)) for p in H] for k in range(8)] + gram = [[sum(minor[i][p] * minor[j][p] for p in range(8)) for j in range(8)] for i in range(8)] + need(gram == [[Q(4 * (i == j)) for j in range(8)] for i in range(8)], 'Orthogonal U minor') + det_h = determinant(minor) + det_g = determinant([[R[k].get(p, Q(0)) for p in GREEDY] for k in range(8)]) + need(det_h == -256 and det_g == -32, 'Actual minor determinants') + PU = [row if p in H else {} for p, row in enumerate(K)] + need(mm(RU, PU) == mm(R, PU) == I8, 'U section from transpose divided by four') + need(not any(mm(LV, PU)), 'Disjoint source and destination support') + N = mm(PU, LV) + B, Bi = matadd(I, N, -1), matadd(I, N) + need(not any(mm(N, N)), 'Mask square is zero') + need(mm(B, Bi) == mm(Bi, B) == I and mm(R, B) == RU, 'Mask inverse and query') + TB, TBi = mm(T, B), mm(Bi, Ti) + need(mm(TB, TBi) == mm(TBi, TB) == I and mm(LA, TB) == RU, 'Ordered target precode') + source_correction = mm(PA, matadd(RU, mm(LA, J), -1)) + source_code = matadd(J, source_correction) + need(mm(LA, source_code) == RU, 'Independent source-query completion') + need(source_code == matadd(T, mm(PA, LV), -1), 'Masked source code H_D') + need({p for p, row in enumerate(source_correction) if row} == set(A), 'Source correction stays on A') + source_census = Counter(str(abs(c)) for row in source_correction for c in row.values()) + need(source_census == Counter({'1': 384, '1/2': 32}), '384 unit and 32 half source ADDs') + need(all(c.denominator & (c.denominator - 1) == 0 for rows in (B, Bi, TB, TBi) for row in rows for c in row.values()), 'All new matrices are dyadic') + mask = [['scalar', ['add', ['L', 112 + p], ['L', 112 + q], -c.numerator, c.denominator], 0] + for p, row in enumerate(N) for q, c in sorted(row.items())] + need(len(mask) == 64 and Counter(str(-c) for row in N for c in row.values()) == Counter({'-1/2': 40, '1/2': 24}), '64 half ADDs') + need(all(e[1][1][1] - 112 in H and e[1][2][1] - 112 in V0 for e in mask), 'Read-only mask sources and disjoint targets') + start = {('L', 112 + p): {p: Q(1)} for p in range(112)} + start[('C', 0)] = {112: Q(1)} + masked = scalar_replay(mask, start) + need([masked[('L', 112 + p)] for p in range(112)] == B and masked[('C', 0)] == start[('C', 0)], 'Literal mask and arbitrary scratch') + prefix = scalar_replay(mask + unit['prefix'], start) + need([prefix[('L', 112 + p)] for p in range(112)] == TB and not prefix[('C', 0)], 'Literal prefix order and owned scratch clear') + need(unit['retained_core'] == current['retained_core'] and unit['native_normalizations'] == current['native_normalizations'], 'Unchanged core and eight positive lines') + need(len(unit['native_normalizations']) == 8 and all(e[0] == 'intrinsic_line' and e[3] == 1 for e in unit['native_normalizations']), 'Eight positive selected lines') + need(unit['program'] == unit['prefix'] + unit['retained_core'] + unit['native_normalizations'] + unit['suffix'], 'Exact unit block order') + suffix = [['scalar', ['add', ['L', 112 + p], ['L', q], c.numerator, c.denominator], 1] + for p, row in enumerate(source_correction) for q, c in sorted(row.items())] + program = mask + unit['prefix'] + unit['retained_core'] + unit['native_normalizations'] + suffix + after_core = {('L', p): {p: Q(1)} for p in range(112)} + after_core.update({('L', 112 + p): add(J[p], {112 + q: c for q, c in TB[p].items()}) for p in range(112)}) + after_suffix = scalar_replay(suffix, after_core, 1) + expected_data = [add(source_code[p], {112 + q: c for q, c in TB[p].items()}) for p in range(112)] + need([after_suffix[('L', 112 + p)] for p in range(112)] == expected_data, 'Literal suffix on all 224 data columns') + recovered_y = mm(TBi, [add(row, source_code[p], -1) for p, row in enumerate(expected_data)]) + need(recovered_y == [{112 + p: Q(1)} for p in range(112)], 'Full joint data inverse') + pure_target_correction = mm(PA, [scale(row, -1) for row in mm(LA, J)]) + need(not any(mm(LA, matadd(J, pure_target_correction))), 'D equals zero consequence') + pure_target_suffix = [['scalar', ['add', ['L', 112 + p], ['L', q], c.numerator, c.denominator], 1] + for p, row in enumerate(pure_target_correction) for q, c in sorted(row.items())] + costs = dict(mask_scalar=price(mask), retained_unit_scalar=price(unit['program']), + selected_source_correction=price(suffix), complete_scalar=price(program), + events=len(program), new_native_children=0, + new_native_wrappers=0, new_cover_maps=0, new_private_fields=0, + pure_target_consequence_scalar=price(program) - price(suffix) + price(pure_target_suffix)) + need(costs['mask_scalar'] == 640 and costs['retained_unit_scalar'] == 212826 and + costs['selected_source_correction'] == 3392 and costs['complete_scalar'] == 213466 and + costs['events'] == 26587 and costs['pure_target_consequence_scalar'] == 214234, 'Local scalar invoice') + masked_dir = HERE.parent.parent / 'masked-query' + read(masked_dir / 'emit_masked_query.py', '809509a2c41c947a4ea64fcb579b739b24fe6020e59eaa1dae3d8f38e63cfaed') + read(masked_dir / 'MASKED-QUERY.md', 'af7d8c132528da939a01bdbfa49a643697e4ef6c388642de6c8ca9f1fdc6fdd3') + actual_raw = read(masked_dir / 'masked-sum/MASKED-QUERY-PROGRAM.json.gz', + 'a4fc54c4af9d3f65e60b025ee26a144d133ae935774d73bbb48d5c7d39ef8581', True) + need(sha256(actual_raw).hexdigest() == '42a9d4bab68fe25f5592a4105b0b7cefa289187165f1d3dd0db6540afca98263', 'Final masked-sum payload') + actual = json.loads(actual_raw) + producer_receipt = json.loads(read(masked_dir / 'masked-sum/MASKED-QUERY.json', + 'b6ad9e6705aefb35e2f7ed621334151710b2a31765f4c51f76f26641394d2d0a')) + need(actual['source_payload_sha256'] == sha256(unit_raw).hexdigest() and + tuple(actual['selected_A']) == A and tuple(actual['masked_ports']) == V0 and + tuple(actual['kept_ports']) == U and tuple(actual['section_ports']) == H, 'Final packet source and port bindings') + for key, expected_matrix in (('R', R), ('section', PU), ('B', B), ('inverse_B', Bi), ('T', T), + ('source_response', source_code), ('source_query', RU), + ('target_code', TB), ('inverse_target_code', TBi)): + need(parse(actual[key]) == expected_matrix, 'Final literal matrix: ' + key) + for key, expected_events in (('mask_prefix', mask), ('retained_unit_prefix', unit['prefix']), + ('retained_core', unit['retained_core']), + ('native_normalizations', unit['native_normalizations']), + ('suffix', suffix), ('program', program)): + need(actual[key] == expected_events, 'Final literal event order: ' + key) + for key in ('physical_input', 'physical_output', 'output_frames'): + need(actual[key] == unit[key], 'Retained native interface: ' + key) + need(producer_receipt['payload_sha256'] == sha256(actual_raw).hexdigest() and + producer_receipt['program_events'] == len(program) and + producer_receipt['costs']['complete_scalar'] == price(program), 'Final receipt bindings and costs') + + x = {p: basis('x:' + str(p)) for p in range(112)} + y = {p: basis('y:' + str(p)) for p in range(112)} + c = {p: basis('c:' + str(p)) for p in range(112)} + beta = {p: basis('beta:' + str(p)) for p in V0} + h = {p: basis('h:' + str(p)) for p in A} + eh_t = scatter(query(h, A, R, False), TP, R, False) + dx, dy = dict(x), dict(y) + for p in A: + dx[p], dy[p] = add(x[p], h[p], -1), add(y[p], h[p]) + for p in TP: + dx[p], dy[p] = add(x[p], eh_t[p]), add(y[p], eh_t[p], -1) + ell = {p: c[p] if p in V0 else add(x[p], c[p]) for p in range(112)} + v = {p: beta[p] if p in V0 else y[p] for p in range(112)} + q = matadd(query(ell, U, R, True), query(v, U, R, True)) + f = matadd(query({p: add(ell[p], c[p], -1) for p in U}, U, R, False), + query(dx, V0, R, False)) + need(f == query(x, range(112), R, False), 'Old F0 query from current read sources') + selected_sum = {p: add(dx[p], dy[p]) for p in TP} + projected_f = scatter(f, OFF_A, R, False) + answer = matadd(q, query(c, U, R, True), -1) + answer = matadd(answer, query(selected_sum, TP, R, True)) + answer = matadd(answer, query(projected_f, OFF_A, R, True), -1) + decoded = scatter(answer, A, R, True) + need(all(isinstance(c, Q) for row in decoded.values() for c in row.values()), 'Exact rational routed coefficients') + original_f = query(x, range(112), R, False) + original_projection = scatter(original_f, OFF_A, R, False) + virtual_y1 = {p: add(add(x[p], y[p]), original_projection[p], -1) for p in OFF_A} + expected = scatter(query(virtual_y1, OFF_A, R, True), A, R, True) + need(decoded == expected, 'Ordered F2 read equals the exact donor erase query') + frozen_rows = json.loads(read(HERE.parent / 'FUTURE-READ-ROWS.json', + 'bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5')) + need(route_serial(decoded) == frozen_rows, 'Exact match to the frozen dirty erase rows') + need(all(name.startswith(('x:', 'y:')) for row in decoded.values() for name, _ in row), 'All beta, c, and donor columns cancel') + donors = {p: add(h[p], expected[p]) for p in A} + restored_h = {p: add(donors[p], decoded[p], -1) for p in A} + need(restored_h == h, 'All arbitrary donor baselines restored') + final_x, final_y = dict(dx), dict(dy) + final_t = scatter(query(restored_h, A, R, False), TP, R, False) + for p in A: + final_x[p], final_y[p] = add(dx[p], restored_h[p]), add(dy[p], restored_h[p], -1) + for p in TP: + final_x[p], final_y[p] = add(dx[p], final_t[p], -1), add(dy[p], final_t[p]) + need(final_x == x and final_y == y, 'All logical data restored after E correction') + witness_y = {p: basis('witness') if p == 1 else {} for p in U} + witness_query = query(witness_y, U, R, True) + witness_beta = {p: scale(row, -1) for p, row in scatter(witness_query, A, R, True).items()} + need(not any(matadd(witness_query, query(witness_beta, A, R, True))), 'Unmasked-query collision') + need(any(scatter(witness_query, A, R, True).values()), 'Collision changes the required erase query') + controls = dict( + reversed_target_precode=mm(LA, mm(B, T)) != RU, + wrong_mask_sign=mm(R, Bi) != RU, + omitted_mask=matadd(q, query(v, V0, R, True)) != q, + omitted_source_correction=mm(LA, J) != RU, + omitted_old_query_subtraction=scatter(matadd(answer, query(projected_f, OFF_A, R, True)), A, R, True) != expected, + omitted_other_pair_U=scatter(matadd(answer, query(c, U, R, True)), A, R, True) != expected, + old_unmasked_source_correction=scatter(matadd(answer, query(ell, V0, R, True)), A, R, True) != expected, + omitted_selected_Y=scatter(matadd(answer, query({p: dy[p] for p in TP}, TP, R, True), -1), A, R, True) != expected) + need(all(controls.values()), 'All negative controls reject the changed word') + receipt = dict(status='PASS_MASKED_QUERY_ALGEBRA_AND_CONDITIONAL_F2_READ', + source_pins=PINS, selected_A=list(A), selected_T=list(TP), mask_ports=list(V0), + section_ports=list(H), orthogonal_minor_determinant=str(det_h), + greedy_minor=list(GREEDY), greedy_minor_determinant=str(det_g), + mask_coefficient_census={'-1/2': 40, '1/2': 24}, + source_correction_absolute_coefficient_census=dict(source_census), + selected_query='R_U(x+y)', + final_masked_sum_payload_sha256=sha256(actual_raw).hexdigest(), + final_literal_word_compared=True, + unmasked_query_collision={'changed_original_Y_port': 1, 'compensation_ports': list(A), + 'all_named_FULL_observations_unchanged': True, 'erase_query_changed': True}, + input_prefix_sha256=sha256(json.dumps(mask, separators=(',', ':')).encode()).hexdigest(), + target_precode_sha256=sha256(json.dumps(serial(TB), separators=(',', ':')).encode()).hexdigest(), + target_inverse_sha256=sha256(json.dumps(serial(TBi), separators=(',', ':')).encode()).hexdigest(), + source_code_sha256=sha256(json.dumps(serial(source_code), separators=(',', ':')).encode()).hexdigest(), + new_prefix_and_suffix_all_224_data_columns=True, + costs=costs, controls=controls, conditional_F2_independent_columns=360, + conditional_F2_erase=route_summary(decoded), + full_712_event_replay=False, native_kernel_replay=False, global_482_schedule_replay=False, + later_B3_admission=False, mixed_target_code_retirement=False, + inherited_contract='The accepted UNIT-QUERY core gives X=x and Y=T(x+y), with the stated mixed native frames and complete arbitrary-helper endpoint map.', + conditional_entry='After selected-port swaps, l_V0=c_V0, l_U=x_U+c_U, v_U=y_U, and v_V0 is arbitrary; the stated current read fields have common F_U2.', + limits=['The algebraic inverse does not admit cross-frame scalar gates.', + 'The old full-W all-output dirt receipt does not transfer to this selected-port substitution.', + 'No new global output map, recursive hosting, precision bound, supplier, or kappa claim.']) + args.out.write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status']) + print(json.dumps(dict(costs=costs, conditional_F2_erase=receipt['conditional_F2_erase']), sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/CHECK.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/CHECK.json new file mode 100644 index 0000000000..04145ddb93 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/CHECK.json @@ -0,0 +1,320 @@ +{ + "actual_cover_maps": 240, + "actual_stage2_routes": 112, + "arbitrary_donor_columns": 8, + "arbitrary_owned_scratch_columns": 1, + "global_schedule_replayed": false, + "hole_frame_Y1_accesses": 0, + "independent_data_columns": 448, + "intermediate_checkpoints": [ + "source_prepare", + "selected_sum_prepare", + "source_alias", + "routed_response", + "source_return", + "source_alias_inverse", + "selected_sum_inverse", + "source_prepare_inverse" + ], + "invoice": { + "coefficients": { + "add:-1": 512, + "add:-1/2": 208, + "add:-1/4": 416, + "add:1": 728, + "add:1/2": 304, + "add:1/4": 416, + "scale:-1": 32 + }, + "cover_maps": 240, + "events": { + "add": 2584, + "clear": 18, + "map": 240, + "private_begin": 2, + "private_end": 2, + "scale": 32 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 25124 + }, + "latent_input_columns": 457, + "native_kernel_replayed": false, + "negative_controls": { + "C_survives_owner_boundary": "Scratch must end at zero and identity inside its owner", + "map_private_C": "No map or native job inside an owner body", + "missing_initial_C_clear": "Scratch must be initialized inside its current owner", + "omit_query_subtraction": true, + "omit_routed_response": true, + "omit_selected_error_correction": true, + "omit_selected_sum_prepare": true, + "omit_source_alias": true, + "wrong_registered_translation": "Exact registered view translation" + }, + "off_selected_Y0_accesses": 0, + "open": [ + "Actual changed F2 global owner admission", + "Later B3 admission and mixed target-code retirement", + "Donor alignment and restoration in the new global schedule", + "Recursive child hosting, primitive precision, complete stream invoice, supplier and kappa" + ], + "output_fields": 457, + "output_rows_sha256": "f1c857a47139103dae073f40f5a53ea798deb1852a0b8357ff87becfd8bf837e", + "part_invoices": { + "query_subtraction": { + "coefficients": { + "add:-1": 8 + }, + "cover_maps": 0, + "events": { + "add": 8 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 64 + }, + "routed_response": { + "coefficients": { + "add:-1/2": 176, + "add:1/2": 272 + }, + "cover_maps": 0, + "events": { + "add": 448 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 4480 + }, + "selected_error_correction": { + "coefficients": { + "add:-1": 8, + "add:-1/2": 32, + "add:1": 8, + "add:1/2": 32 + }, + "cover_maps": 0, + "events": { + "add": 80 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 768 + }, + "selected_sum_inverse": { + "coefficients": { + "add:-1": 16 + }, + "cover_maps": 0, + "events": { + "add": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 128 + }, + "selected_sum_prepare": { + "coefficients": { + "add:1": 16 + }, + "cover_maps": 0, + "events": { + "add": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 128 + }, + "source_alias": { + "coefficients": { + "add:-1": 168, + "add:-1/4": 156, + "add:1": 280, + "add:1/4": 260 + }, + "cover_maps": 0, + "events": { + "add": 864, + "clear": 9, + "private_begin": 1, + "private_end": 1 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 8594 + }, + "source_alias_inverse": { + "coefficients": { + "add:-1": 168, + "add:-1/4": 260, + "add:1": 280, + "add:1/4": 156 + }, + "cover_maps": 0, + "events": { + "add": 864, + "clear": 9, + "private_begin": 1, + "private_end": 1 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 8594 + }, + "source_gather": { + "coefficients": {}, + "cover_maps": 120, + "events": { + "map": 120 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 0 + }, + "source_prepare": { + "coefficients": { + "add:-1": 112, + "add:1": 32, + "scale:-1": 16 + }, + "cover_maps": 0, + "events": { + "add": 144, + "scale": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 1184 + }, + "source_prepare_inverse": { + "coefficients": { + "add:-1": 32, + "add:1": 112, + "scale:-1": 16 + }, + "cover_maps": 0, + "events": { + "add": 144, + "scale": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 1184 + }, + "source_return": { + "coefficients": {}, + "cover_maps": 120, + "events": { + "map": 120 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 0 + } + }, + "producer_imported_or_executed": false, + "replay": { + "add_phase_checks": 2584, + "boundaries": [ + { + "C_identity": true, + "C_zero": false, + "part": "query_subtraction" + }, + { + "C_identity": true, + "C_zero": false, + "part": "source_prepare" + }, + { + "C_identity": true, + "C_zero": false, + "part": "selected_sum_prepare" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_alias" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_gather" + }, + { + "C_identity": true, + "C_zero": true, + "part": "routed_response" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_return" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_alias_inverse" + }, + { + "C_identity": true, + "C_zero": true, + "part": "selected_sum_inverse" + }, + { + "C_identity": true, + "C_zero": true, + "part": "source_prepare_inverse" + }, + { + "C_identity": true, + "C_zero": true, + "part": "selected_error_correction" + } + ], + "physical_views": 240 + }, + "scope": "The stated post-F2 local cut, with real disjoint family roles and complete barriers between the recorded sweeps.", + "source_pins": { + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/check_restoration.py": "8c6fb324aa898f86b3edbd85252570a2dc43c40455887f789a153191645686ca", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json": "bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.json": "04dfde7cd7182f711bca4d75f0a258f447131dd65b779bef7095e4729d542488", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/PRIVATE-COVER-ISSUE.md": "c4419c12661d8617135ce17d0918c47a98b08532e5c70422e25c777567f05eae", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP-MANIFEST.json": "1ce42dd7732c39b4f6f9dec1329e7e3145751e8827e7020fe6d5ee04c7e67e03", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP.md": "1c75fefbe456feb11c91d65c0da390087783983156dfb1fecc4019695cfd3338", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_stream_cleanup.py": "93d7076937427a8c1ee1c15911c7e6df74520cbb555284ec07103a5224c7b8ba", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY-PROGRAM.json.gz": "a4fc54c4af9d3f65e60b025ee26a144d133ae935774d73bbb48d5c7d39ef8581", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP-WORD.json": "e40f0ba1b06f165e805213213db7dd2936fb180aa8a304fcca9d061bdcf52fde", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP.json": "fc6844f816222935219a6b7fb4d8dbdefcb6e9be9c3193355a40080e04f15227", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json": "bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880" + }, + "status": "PASS_INDEPENDENT_OWNER_LOCAL_MASKED_CLEANUP", + "storage_audit": { + "destructive_real_field_clears": 0, + "family_sweeps": 2, + "owner_sweeps": 9, + "peak_owned_scratch": 1, + "private_cover_maps": 0, + "private_owner_bodies": 2 + }, + "withdrawn_25360_scalar_1072_map_word_accepted": false, + "wrong_translation_phase_witness": { + "changed_exponent_mod4": 3, + "character": 1, + "correct_exponent_mod4": 1 + } +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/REVIEW.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/REVIEW.json new file mode 100644 index 0000000000..131d7dfdba --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/REVIEW.json @@ -0,0 +1,70 @@ +{ + "coverage": { + "actual_stage2_routes": 112, + "all_intermediate_aliases_and_returns": true, + "arbitrary_aligned_donor_baselines_restored": true, + "complete_family_sweeps": 2, + "complete_owner_sweeps": 9, + "exact_ADD_phase_checks": 2584, + "final_output_rows": 457, + "latent_input_columns": 457, + "local_private_bodies": 2, + "physical_cover_maps": 240, + "producer_imported_or_executed": false + }, + "files": { + "CHECK.json": "66099ebea558838ff81ef941c7c5a8a6f015afe9ce44579fd080089c8e45a4f7", + "REVIEW.md": "f413802e9dd6ed7284a1c815f93d976b241686dd0a6274a7ecbacc12ea32cce4", + "check_stream_cleanup.py": "bb9b82d7e04ead5898af603a2893062999a7245fda72a2e764e55f3fe21baac2" + }, + "invoice": { + "coefficients": { + "add:-1": 512, + "add:-1/2": 208, + "add:-1/4": 416, + "add:1": 728, + "add:1/2": 304, + "add:1/4": 416, + "scale:-1": 32 + }, + "cover_maps": 240, + "events": { + "add": 2584, + "clear": 18, + "map": 240, + "private_begin": 2, + "private_end": 2, + "scale": 32 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 25124 + }, + "material_findings": [], + "open": [ + "Actual changed F2 global owner admission", + "Later B3 admission and mixed target-code retirement", + "Donor alignment and restoration in the new global schedule", + "Recursive child hosting, primitive precision, complete stream invoice, supplier and kappa" + ], + "reviewed_word_sha256": "e40f0ba1b06f165e805213213db7dd2936fb180aa8a304fcca9d061bdcf52fde", + "scope": "The stated post-F2 local cut, with real disjoint family roles and complete barriers between the recorded sweeps.", + "source_pins": { + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/check_restoration.py": "8c6fb324aa898f86b3edbd85252570a2dc43c40455887f789a153191645686ca", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/FUTURE-READ-ROWS.json": "bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/masked-query-review/REVIEW.json": "04dfde7cd7182f711bca4d75f0a258f447131dd65b779bef7095e4729d542488", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/PRIVATE-COVER-ISSUE.md": "c4419c12661d8617135ce17d0918c47a98b08532e5c70422e25c777567f05eae", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP-MANIFEST.json": "1ce42dd7732c39b4f6f9dec1329e7e3145751e8827e7020fe6d5ee04c7e67e03", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP.md": "1c75fefbe456feb11c91d65c0da390087783983156dfb1fecc4019695cfd3338", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_stream_cleanup.py": "93d7076937427a8c1ee1c15911c7e6df74520cbb555284ec07103a5224c7b8ba", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY-PROGRAM.json.gz": "a4fc54c4af9d3f65e60b025ee26a144d133ae935774d73bbb48d5c7d39ef8581", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP-WORD.json": "e40f0ba1b06f165e805213213db7dd2936fb180aa8a304fcca9d061bdcf52fde", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP.json": "fc6844f816222935219a6b7fb4d8dbdefcb6e9be9c3193355a40080e04f15227", + "work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json": "bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880" + }, + "status": "PASS_INDEPENDENT_OWNER_LOCAL_MASKED_CLEANUP_REVIEW", + "withdrawn_word": "The earlier private-C cover-map word and its 25360 scalar / 1072 map count remain withdrawn.", + "write_scope": "/Users/aliromman/Projects/IntegerMultiplicationBounds/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/REVIEW.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/REVIEW.md new file mode 100644 index 0000000000..fd2eba4a2f --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/REVIEW.md @@ -0,0 +1,202 @@ +# Independent review of the owner-local masked cleanup + +The replacement cleanup passes. It restores all eight arbitrary aligned +donor baselines and all temporary real-family aliases. The local count is +25,124 real scalar primitives, 240 complete-family cover maps, zero new +native children, and one owned scratch field. The earlier count of 25,360 +scalar primitives and 1,072 maps is withdrawn and is not accepted here. + +The independent checker reconstructs every block of the frozen word from +the actual R matrix and the registered stage-2 views. It imports and runs +no producer. A separate exact replay checks all 457 latent input columns: +448 data values, eight arbitrary donor values, and one arbitrary owned +scratch value. Every final row matches the producer output digest + + f1c857a47139103dae073f40f5a53ea798deb1852a0b8357ff87becfd8bf837e. + +The accepted masked unit and the earlier ordered G identity are fixed +premises. The result remains local to the stated aligned post-F2 cut. +It does not admit that cut in a new global owner schedule, retire the +mixed target code, or admit the later B3 call. No source file was changed. + +## The complete ordered identity + +Use the source sets A and T, each of size eight. Put V=A union T and +let U contain the other 96 ports. Let z=(x,y), and let the dirty state +be d=z+E h. At the stated cut, + + X0_U=x_U+c_U, X0_V=c_V, + X1_U=c_U, X1_V=d_X,V, + Y1_V=d_Y,V, + Y0_A=P2_A q, q=R2_U(X0_U+y_U), + donors=h+Gz. + +All fields used below have the complete U2 native frame. The aligned +donors are distinct real families. Y0 outside A and Y1 on U have mixed +frames, but the cleanup does not access them. + +First subtract Y0_A from the donors. On U, subtract X1 from X0. On V, +swap the two X fields with the literal three ADDs and one sign SCALE. +The resulting banks are exactly + + X0=d_X, X1=c. + +Next set Y1_T+=X0_T+X1_T. Since E_X+E_Y=0 on V, these fields now hold + + b_T=c_T+d_X,T+d_Y,T=c_T+x_T+y_T. + +The dirty error also satisfies R0 E_X=0. Thus f=R0 X0=R0 x. The next +complete owner sweep adds P0_offA f to the real family X1_offA. It gives + + a_offA=c_offA+P0_offA f. + +This is a unit triangular change of the two real X banks. X0 remains +unchanged. The same local body with the opposite response sign is its +inverse. It does not clear any borrowed data value. + +Gather the eight A donors, 104 off-A X1 fields, and eight T Y1 fields +through their actual stage-2 views. In these coordinates the response is +416 half ADDs from X1 and 32 half ADDs from Y1, with the latter sign +negative. In the original coordinates this adds + + P2_A[R2_offA a_offA-R2_T b_T] + =P2_A[R2_U c_U+R2_offA P0_offA f + -R2_T(d_X,T+d_Y,T)]. + +The accepted query identity is + + Gz=P2_A[q-R2_U c_U+R2_T(d_X,T+d_Y,T) + -R2_offA P0_offA f]. + +The donors therefore equal the gathered form of h before the return +views. After the return views they equal h. The independent replay checks +this intermediate state, before any alias is undone. + +Return all 120 views in reverse order. Undo the X1 alias, the T sums, and +the X-bank preparation, in that order. These steps restore every source +read to its earlier value. Finally apply -E h to the parked selected +fields. On A this adds h to X1 and subtracts h from Y1. On T it subtracts +P0_T R0_A h from X1 and adds the same value to Y1. + +The final X0 and Y0 are unchanged. X1_U and Y1_U are unchanged. The +selected X1 and Y1 values are x_V and y_V. All eight donors equal h. +The aligned baseline h is arbitrary; it need not be zero. Identities +proved on independent columns also hold when these values are correlated. + +## Storage extent and complete-sweep barriers + +The word contains nine complete owner sweeps and two complete family +sweeps. Only the alias and its inverse use C. Each of their local owner +bodies has eight query rows. A row starts with CLEAR at the complete +frame, reads the unchanged X0 bank, and adds its quarter response to +the real X1 family. The last operation on C is CLEAR at the identity +frame, before that owner body ends. + +An owner sweep has no cover map. A family sweep has only cover maps on +named real data or donor families. The checker enforces these rules +separately from the linear row calculation. It also requires C to be +initialized inside its current private body before any read. Every body +that uses C ends with C zero at the identity frame. The arbitrary owned +input C is not read before its first clear. + +These conditions permit one scratch location to be reused for successive +owners. Each local body acts on data at only its current owner. It ends +before the next owner starts. The real X1 family retains each owner's +computed response. No complete family of private C values is required. + +The complete alias sweep ends before the source gather starts. All 120 +real-family gathers finish before the routed response sweep starts. All +return views finish before the inverse alias sweep starts. The literal +parts and their flat event list agree exactly. Thus the complete-family +row calculation is supported by the recorded storage extent and barriers. + +This argument does not expand a private scratch role into a real family. +It first checks the local body and its zero exit, then uses that local +identity at every owner. The returned real families carry all information +that must survive a change of owner. The old private-cover word fails +this condition and remains outside the acceptance scope. + +## Actual cover directions and native phase + +The checker reads the stage-2 routes directly from the pinned QQ16 +certificate. For all 112 ports, it verifies the full 73-axis owner +involution, its orthogonality, the local odd normal, and the registered +translation. The gather uses the recorded right-owner columns g and +translation eta. The return uses g^-1=g and translation g eta. +Both affine inverse orders are checked. + +For each view, the complete native phase is expanded as a polynomial in +the 73 binary character coordinates. Linear coefficients are compared +modulo four and quadratic coefficients modulo two. The registered map +and its inverse preserve the exact complete U2 phase. This is an exact +all-character calculation, with no random phase samples. + +All 240 literal views match those registered columns and translations. +All 2,584 ADDs have equal source and target native phases. No ADD reads +the mixed-frame Y0 or Y1 fields excluded above. The scratch clear supplies +the zero value at the required frame; no native transform of C is used. + +Logical route words retain their order. The row replay reduces only an +adjacent pair of the same involution. It does not move a stage-2 route +through a stage-0 query. The donor debt reconstructed from the F0 target +matches the frozen eight-row G certificate before the cleanup is run. + +## Counts and rejection controls + +| Part | Real scalar primitives | +| --- | ---: | +| Selected query subtraction | 64 | +| X-bank preparation | 1,184 | +| T sum preparation | 128 | +| Real X1 alias | 8,594 | +| Routed response | 4,480 | +| Alias inverse | 8,594 | +| T sum inverse | 128 | +| X-bank preparation inverse | 1,184 | +| Selected error correction | 768 | +| Total | 25,124 | + +Each alias has 448 unit query ADDs, 416 quarter response ADDs, and nine +owned clears. The whole word has 2,584 ADDs, 32 sign SCALEs, 18 owned +clears, and 240 maps. The two private begin/end marker pairs have no +scalar charge. There is no new native child or native wrapper. These +are local operation counts at the aligned cut; they do not include +global donor alignment, target-code retirement, or stream address work. + +Nine controls reject an omitted query subtraction, T sum, alias, routed +response, or error correction; a map on C; a C value that survives its +owner body; a missing initial C clear; and a wrong view translation. +For the translation control, toggling bit zero changes the exponent at +character 1 from 1 to 3 modulo four. The phase defect is nontrivial. + +## Reproduction and limits + +Run from the repository root with standard-library Python: + +```sh +OPENBLAS_NUM_THREADS=1 OMP_NUM_THREADS=1 VECLIB_MAXIMUM_THREADS=1 python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/check_stream_cleanup.py +``` + +Expected status: PASS_INDEPENDENT_OWNER_LOCAL_MASKED_CLEANUP. + +The source manifest is pinned at +1ce42dd7732c39b4f6f9dec1329e7e3145751e8827e7020fe6d5ee04c7e67e03. +The reviewed word is pinned at +e40f0ba1b06f165e805213213db7dd2936fb180aa8a304fcca9d061bdcf52fde. +CHECK.json records all input pins, component counts, intermediate checks, +phase checks, storage checks, and controls. REVIEW.json binds the review +files. No producer was imported or executed as evidence for this review. + +No actual 482-event trace was run for the changed masked F2 construction. +The given complete cut, distinct real-family roles, donor alignment, and +complete-sweep scheduling remain its interface conditions. The 480 old +helpers are untouched by this cleanup. Native child kernels, primitive +prefix precision, recursive hosting, the later controller, and the whole +supplier invoice were not checked. No global output or kappa claim follows. + +The coordinating worker identified the private-cover flaw. The parent +worker supplied the replacement real-family alias. The earlier masked +unit and dirty-record reviews supplied the fixed query premises. This +review supplies a separate word reconstruction, row replay, storage +audit, and native-phase check. OpenAI Codex was used under the user's +research instructions. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/check_stream_cleanup.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/check_stream_cleanup.py new file mode 100644 index 0000000000..a375f82e11 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/stream-cleanup-review/check_stream_cleanup.py @@ -0,0 +1,474 @@ +"""Check the owner-local cleanup without a producer import. + +Use exact rows, actual registered views, and a separate storage audit. +""" + +import argparse +from collections import Counter +from copy import deepcopy +from fractions import Fraction as Q +from functools import lru_cache +import gzip +from hashlib import sha256 +import json +from pathlib import Path +import shutil + + +ROOT = Path('/Users/aliromman/Projects/IntegerMultiplicationBounds') +LANES = ROOT / 'work/centre-encoding-campaign-20261014/lanes' +HERE = Path(__file__).resolve().parent +PACK = HERE.parent.parent / 'masked-query' +A = (0, 7, 20, 27, 36, 46, 57, 111) +T = (21, 37, 47, 76, 81, 87, 92, 110) +V = A + T +U = tuple(p for p in range(112) if p not in V) +OFF = U + T +AXES = tuple(1 << i for i in range(73)) +FULL = tuple((v, 1) for v in AXES[:25]) +PINS = {} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def encoded(value): + return json.dumps(value, sort_keys=True, separators=(',', ':')).encode() + + +def read(path, expected, compressed=False): + raw = path.read_bytes() + digest = sha256(raw).hexdigest() + need(digest == expected, 'Source pin: ' + str(path)) + PINS[str(path.relative_to(ROOT))] = digest + return gzip.decompress(raw) if compressed else raw + + +def add(a, b, c=Q(1)): + out = dict(a) + for key, value in b.items(): + out[key] = out.get(key, 0) + c * value + if not out[key]: + del out[key] + return out + + +def scale(row, c): + return {key: c * value for key, value in row.items() if c * value} + + +def move(row, port): + letter = (2, port) + out = {} + for (name, path), c in row.items(): + path = path[1:] if path and path[0] == letter else (letter,) + path + key = name, path + out[key] = out.get(key, 0) + c + return {key: c for key, c in out.items() if c} + + +def bank(name): + return {p: {(name + str(p), ()): Q(1)} for p in range(112)} + + +def query(rows, ports, R, routed=False): + out = [{} for _ in range(8)] + for p in ports: + value = move(rows[p], p) if routed else rows[p] + for k in range(8): + if R[k][p]: + out[k] = add(out[k], value, R[k][p]) + return out + + +def scatter(values, ports, R, routed=False): + out = {} + for p in ports: + row = {} + for k in range(8): + if R[k][p]: + row = add(row, values[k], R[k][p] / 4) + out[p] = move(row, p) if routed else row + return out + + +def routed_matrix(matrix, rows): + gathered = {p: move(rows[p], p) for p in range(112)} + out = {} + for p, coefficients in enumerate(matrix): + row = {} + for q, c in coefficients.items(): + row = add(row, gathered[q], c) + out[p] = move(row, p) + return out + + +def apply(columns, vector): + answer = 0 + while vector: + bit = vector & -vector + answer ^= columns[bit.bit_length() - 1] + vector ^= bit + return answer + + +@lru_cache(None) +def phase(terms): + linear, pairs = [0] * 73, set() + for vector, coefficient in terms: + support = [i for i in range(73) if vector >> i & 1] + for i in support: + linear[i] = (linear[i] + coefficient) % 4 + if coefficient % 2: + for at, i in enumerate(support): + for j in support[at + 1:]: + if (i, j) in pairs: + pairs.remove((i, j)) + else: + pairs.add((i, j)) + return tuple(linear), frozenset(pairs) + + +def transport(terms, g, shift): + return tuple((apply(g, v), c) for v, c in terms) + ((shift, 2),) + + +def actual_routes(certificate): + routes = {} + for p in range(112): + entries = [e for e in certificate['programs']['F_2'] if e[0] == 'cover_map' and e[1] == ['L', p]] + need(len(entries) >= 2, 'Source has the complete stage-2 X route') + record = certificate['map_registry'][entries[0][2]] + g = tuple(record['owner_right_matrix_columns']) + shift = record['payload_translation_at_identity_owner'] + need(len(g) == 73 and tuple(apply(g, v) for v in g) == AXES, 'Actual owner involution') + need(all((g[i] & g[j]).bit_count() % 2 == (i == j) for i in range(73) for j in range(73)), 'Actual owner orthogonality') + need(phase(transport(FULL, g, shift)) == phase(FULL), 'Registered full-frame phase') + back = apply(g, shift) + need(phase(transport(FULL, g, back)) == phase(FULL), 'Inverse full-frame phase') + need(apply(g, shift) ^ back == 0 and apply(g, back) ^ shift == 0, 'Both affine inverse translations') + need(all(v < 512 for v in g[17:25]), 'Actual local chart') + normals = [q for q in range(1, 512) if all((q & v).bit_count() % 2 == 0 for v in g[17:25])] + need(len(normals) == 1 and normals[0].bit_count() % 2 == 1, 'Actual odd port normal') + q = normals[0] + need(apply(g, q) == q, 'Normal fixed by owner route') + routes[p] = dict(g=g, shift=shift, inverse_shift=back, q=q, registry=entries[0][2]) + return routes + + +def gate(dst, src, coefficient=1): + return dict(op='add', dst=dst, src=src, c=str(coefficient)) + + +def reverse(events): + answer = [] + for e in reversed(events): + e = dict(e) + e['c'] = str(-Q(e['c']) if e['op'] == 'add' else 1 / Q(e['c'])) + answer.append(e) + return answer + + +def reconstruct(R, routes): + prepare = [gate(f'X0:{p}', f'X1:{p}', -1) for p in U] + for p in V: + a, b = f'X0:{p}', f'X1:{p}' + prepare += [gate(a, b), gate(b, a, -1), gate(a, b), dict(op='scale', field=b, c='-1')] + sums = [gate(f'Y1:{p}', f'{b}:{p}') for p in T for b in ('X0', 'X1')] + + def alias(sign): + events = [dict(op='private_begin')] + for k in range(8): + events += [dict(op='clear', field='C', frame='current')] + events += [gate('C', f'X0:{p}', R[k][p]) for p in range(112) if R[k][p]] + events += [gate(f'X1:{p}', 'C', sign * R[k][p] / 4) for p in OFF if R[k][p]] + return events + [dict(op='clear', field='C', frame='identity'), dict(op='private_end')] + + fields = [(f'R{p}', p) for p in A] + [(f'X1:{p}', p) for p in OFF] + [(f'Y1:{p}', p) for p in T] + + def views(items, inverse=False): + return [dict(op='map', field=name, letter=[2, p], g=list(routes[p]['g']), + shift=routes[p]['inverse_shift' if inverse else 'shift']) for name, p in items] + + response = [] + for b, ports, sign in (('X1', OFF, 1), ('Y1', T, -1)): + for a in A: + for p in ports: + coefficient = sum(R[k][a] * R[k][p] for k in range(8)) / 4 + if coefficient: + response.append(gate(f'R{a}', f'{b}:{p}', sign * coefficient)) + correction = [] + for a in A: + correction += [gate(f'X1:{a}', f'R{a}'), gate(f'Y1:{a}', f'R{a}', -1)] + for p in T: + for a in A: + coefficient = sum(R[k][p] * R[k][a] for k in range(8)) / 4 + if coefficient: + correction += [gate(f'X1:{p}', f'R{a}', -coefficient), gate(f'Y1:{p}', f'R{a}', coefficient)] + content = [ + ('query_subtraction', 'owner_sweep', [gate(f'R{p}', f'Y0:{p}', -1) for p in A]), + ('source_prepare', 'owner_sweep', prepare), + ('selected_sum_prepare', 'owner_sweep', sums), + ('source_alias', 'owner_sweep', alias(1)), + ('source_gather', 'family_sweep', views(fields)), + ('routed_response', 'owner_sweep', response), + ('source_return', 'family_sweep', views(reversed(fields), True)), + ('source_alias_inverse', 'owner_sweep', alias(-1)), + ('selected_sum_inverse', 'owner_sweep', reverse(sums)), + ('source_prepare_inverse', 'owner_sweep', reverse(prepare)), + ('selected_error_correction', 'owner_sweep', correction)] + return [dict(name=name, scope=scope, events=events) for name, scope, events in content] + + +def invoice(events): + counts, coefficients, scalar = Counter(), Counter(), 0 + for e in events: + op = e['op'] + counts[op] += 1 + if op == 'clear': + scalar += 2 + elif op in ('add', 'scale'): + c = Q(e['c']) + n, d = abs(c.numerator), c.denominator + need(n and not n & (n - 1) and not d & (d - 1), 'Dyadic-unit coefficient') + coefficients[op + ':' + str(c)] += 1 + scalar += (2 * (2 + n.bit_length() + n.bit_count() + d.bit_length() - 1) + if op == 'add' else 2 * (abs(n.bit_length() - d.bit_length()) + (c < 0))) + return dict(scalar=scalar, cover_maps=counts['map'], native_mass=0, native_profile={}, + native_wrappers=0, events=dict(counts), coefficients=dict(coefficients)) + + +def storage_audit(parts): + private_bodies, owner_blocks, family_blocks = 0, 0, 0 + real = {f'{b}:{p}' for b in ('X0', 'Y0', 'X1', 'Y1') for p in range(112)} | {f'R{p}' for p in A} + for part in parts: + private, initialized, zero_at_identity = False, False, False + if part['scope'] == 'family_sweep': + family_blocks += 1 + need(all(e['op'] == 'map' and e['field'] in real for e in part['events']), 'A map needs a complete real family') + continue + need(part['scope'] == 'owner_sweep', 'Known complete-sweep extent') + owner_blocks += 1 + for e in part['events']: + op = e['op'] + need(op in ('add', 'scale', 'clear', 'private_begin', 'private_end'), 'No map or native job inside an owner body') + if op == 'private_begin': + need(not private, 'No nested private lifetime') + private, initialized, zero_at_identity = True, False, False + private_bodies += 1 + elif op == 'private_end': + need(private and zero_at_identity, 'Scratch must end at zero and identity inside its owner') + private = False + else: + names = [e[k] for k in ('field', 'dst', 'src') if k in e] + need(all(f in real or f == 'C' for f in names), 'Known real field or the one local scratch') + if op == 'clear': + need(e['field'] == 'C' and private, 'Only the current owned scratch may be cleared') + initialized, zero_at_identity = True, e['frame'] == 'identity' + elif 'C' in names: + need(private and initialized, 'Scratch must be initialized inside its current owner') + if e.get('dst', e.get('field')) == 'C': + zero_at_identity = False + need(not private, 'No scratch lifetime crosses a complete-sweep boundary') + return dict(owner_sweeps=owner_blocks, family_sweeps=family_blocks, private_owner_bodies=private_bodies, + peak_owned_scratch=1, private_cover_maps=0, destructive_real_field_clears=0) + + +def row_encoding(rows): + return {field: [[name, list(path), str(c)] for (name, path), c in sorted(row.items())] + for field, row in sorted(rows.items())} + + +def replay(parts, initial, frames, routes, checkpoints=None): + storage_audit(parts) + rows, frames = deepcopy(initial), deepcopy(frames) + phase_checks, maps, boundary_states = 0, 0, [] + for part in parts: + for e in part['events']: + op = e['op'] + if op == 'add': + dst, src = e['dst'], e['src'] + need(phase(frames[dst]) == phase(frames[src]), 'Exact native phase at every ADD') + rows[dst] = add(rows[dst], rows[src], Q(e['c'])) + phase_checks += 1 + elif op == 'scale': + rows[e['field']] = scale(rows[e['field']], Q(e['c'])) + elif op == 'clear': + rows['C'] = {} + frames['C'] = FULL if e['frame'] == 'current' else () + elif op == 'map': + f, (stage, p) = e['field'], e['letter'] + need(stage == 2 and tuple(e['g']) == routes[p]['g'], 'Exact right-owner route') + need(e['shift'] in (routes[p]['shift'], routes[p]['inverse_shift']), 'Exact registered view translation') + need(phase(frames[f]) == phase(FULL), 'Every gathered real family is FULL') + frames[f] = transport(frames[f], tuple(e['g']), e['shift']) + need(phase(frames[f]) == phase(FULL), 'Every physical view preserves FULL phase') + rows[f] = move(rows[f], p) + maps += 1 + elif op == 'private_end': + need(not rows['C'] and phase(frames['C']) == phase(()), 'Exact zero/I scratch at owner exit') + if checkpoints and part['name'] in checkpoints: + for field, expected in checkpoints[part['name']].items(): + need(rows[field] == expected, 'Intermediate identity: ' + part['name'] + ':' + field) + boundary_states.append(dict(part=part['name'], C_zero=not rows['C'], C_identity=phase(frames['C']) == phase(()))) + return rows, frames, dict(add_phase_checks=phase_checks, physical_views=maps, boundaries=boundary_states) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, default=HERE / 'CHECK.json') + args = parser.parse_args() + need(shutil.disk_usage(HERE).free >= 3 * 1024**3, 'At least three GiB free') + manifest = json.loads(read(PACK / 'STREAM-CLEANUP-MANIFEST.json', + '1ce42dd7732c39b4f6f9dec1329e7e3145751e8827e7020fe6d5ee04c7e67e03')) + files = {name: read(PACK / name, pin) for name, pin in manifest['files'].items()} + packet = json.loads(files['stream-cleanup/STREAM-CLEANUP-WORD.json']) + producer = json.loads(files['stream-cleanup/STREAM-CLEANUP.json']) + for path, digest in packet['source_pins'].items(): + read(LANES / path, digest) + accepted = json.loads(read(HERE.parent / 'masked-query-review/REVIEW.json', + '04dfde7cd7182f711bca4d75f0a258f447131dd65b779bef7095e4729d542488')) + mask_raw = gzip.decompress((PACK / 'masked-sum/MASKED-QUERY-PROGRAM.json.gz').read_bytes()) + need(sha256(mask_raw).hexdigest() == accepted['final_masked_sum_payload_sha256'], 'Accepted masked-query payload') + mask = json.loads(mask_raw) + certificate = json.loads(read(LANES / 'paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz', + 'a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7', True)) + R = [[Q(row.get(str(p), 0)) for p in range(112)] for row in certificate['R_rows']] + need([list(A), list(T), list(U)] == [certificate[k + '_ports'] for k in ('A', 'T', 'U')], 'Actual source port partition') + need(R == [[Q(row.get(str(p), 0)) for p in range(112)] for row in mask['R']], 'Actual source matrix') + routes = actual_routes(certificate) + parts = reconstruct(R, routes) + need(parts == packet['parts'], 'Every independently reconstructed block and scope') + word = [e for part in parts for e in part['events']] + need(word == packet['word'], 'Every literal event in order') + storage = storage_audit(parts) + need(storage['owner_sweeps'] == 9 and storage['family_sweeps'] == 2 and storage['private_owner_bodies'] == 2, 'Exact sweep extents') + + x, y, c, beta = (bank(n) for n in ('x:', 'y:', 'c:', 'beta:')) + h = {p: {('h:' + str(p), ()): Q(1)} for p in A} + error = {p: {} for p in range(112)} + error.update({p: scale(h[p], -1) for p in A}) + error.update(scatter(query(h, A, R), T, R)) + dx = {p: add(x[p], error[p]) for p in range(112)} + dy = {p: add(y[p], error[p], -1) for p in range(112)} + ell = {p: c[p] if p in V else add(x[p], c[p]) for p in range(112)} + v = {p: beta[p] if p in V else y[p] for p in range(112)} + H, TB = ([{int(q): Q(value) for q, value in row.items()} for row in mask[key]] + for key in ('source_response', 'target_code')) + response_h, response_t = routed_matrix(H, ell), routed_matrix(TB, v) + output_y0 = {p: add(response_h[p], response_t[p]) for p in range(112)} + f = query(x, range(112), R) + need(query(dx, range(112), R) == f, 'Dirty source has the same old query') + projection = scatter(f, OFF, R) + old_y1 = {p: add(add(x[p], y[p]), projection[p], -1) for p in OFF} + debt = scatter(query(old_y1, OFF, R, True), A, R, True) + frozen_g = json.loads(read(HERE.parent / 'FUTURE-READ-ROWS.json', + 'bce692e721ee7e0db485509cc12a3384a2e24ec2014626954aab5d4dde0059d5')) + need([[p, [[n, [list(t) for t in w], str(v)] for (n, w), v in sorted(row.items())]] + for p, row in sorted(debt.items())] == frozen_g, 'Exact frozen donor-debt rows') + q = query({p: add(ell[p], y[p]) for p in U}, U, R, True) + q_selected = scatter(q, A, R, True) + need(all(output_y0[p] == q_selected[p] for p in A), 'Accepted selected query in actual source order') + initial = {f'X0:{p}': ell[p] for p in range(112)} + initial.update({f'Y0:{p}': output_y0[p] for p in range(112)}) + initial.update({f'X1:{p}': dx[p] if p in V else c[p] for p in range(112)}) + initial.update({f'Y1:{p}': dy[p] if p in V else add(beta[p], y[p], -1) for p in range(112)}) + initial.update({f'R{p}': add(h[p], debt[p]) for p in A}) + initial['C'] = {('private:', ()): Q(1)} + latent = {name for row in initial.values() for name, _ in row} + need(len(latent) == 457, 'All 448 data, eight donor, and one scratch input columns') + frames = {field: FULL for field in initial} + frames['C'] = () + for p in range(112): + if p not in A: + frames[f'Y0:{p}'] += ((routes[p]['q'], -1),) + if p in U: + frames[f'Y1:{p}'] += ((routes[p]['q'], -1),) + alias = {p: add(c[p], projection[p]) if p in OFF else c[p] for p in range(112)} + sums = {p: add(add(c[p], dx[p]), dy[p]) for p in T} + checkpoints = { + 'source_prepare': {**{f'X0:{p}': dx[p] for p in range(112)}, **{f'X1:{p}': c[p] for p in range(112)}}, + 'selected_sum_prepare': {f'Y1:{p}': sums[p] for p in T}, + 'source_alias': {**{f'X0:{p}': dx[p] for p in range(112)}, **{f'X1:{p}': alias[p] for p in range(112)}}, + 'routed_response': {f'R{p}': move(h[p], p) for p in A}, + 'source_return': {**{f'R{p}': h[p] for p in A}, **{f'X1:{p}': alias[p] for p in range(112)}, **{f'Y1:{p}': sums[p] for p in T}}, + 'source_alias_inverse': {f'X1:{p}': c[p] for p in range(112)}, + 'selected_sum_inverse': {f'Y1:{p}': dy[p] for p in T}, + 'source_prepare_inverse': {field: row for field, row in initial.items() if field.startswith(('X0:', 'X1:'))}} + expected = deepcopy(initial) + for p in V: + expected[f'X1:{p}'], expected[f'Y1:{p}'] = x[p], y[p] + for p in A: + expected[f'R{p}'] = h[p] + expected['C'] = {} + rows, end_frames, replay_receipt = replay(parts, initial, frames, routes, checkpoints) + need(rows == expected, 'Every final output row on all 457 latent inputs') + need(all(phase(end_frames[f]) == phase(frames[f]) for f in frames), 'Every native endpoint frame returns') + output_hash = sha256(encoded(row_encoding(rows))).hexdigest() + need(output_hash == producer['all_output_rows_sha256'], 'Independent output digest agrees') + bill = invoice(word) + need({k: v for k, v in bill.items() if k != 'coefficients'} == producer['invoice'], 'Independent total invoice') + part_bills = {part['name']: invoice(part['events']) for part in parts} + need(all({k: v for k, v in bill.items() if k != 'coefficients'} == producer['part_invoices'][name] + for name, bill in part_bills.items()), 'Every independent component invoice') + accesses = [e[k] for e in word for k in ('field', 'dst', 'src') if k in e] + need(not any(f.startswith('Y0:') and int(f[3:]) not in A for f in accesses), 'No off-A Y0 access') + need(not any(f.startswith('Y1:') and int(f[3:]) in U for f in accesses), 'No hole-frame Y1 access') + need(all(isinstance(c, Q) for row in rows.values() for c in row.values()), 'Exact rational coefficients throughout') + + controls = {} + for name in ('query_subtraction', 'selected_sum_prepare', 'source_alias', 'routed_response', 'selected_error_correction'): + changed = [p for p in parts if p['name'] != name] + result, _, _ = replay(changed, initial, frames, routes) + controls['omit_' + name] = result != expected + bad = deepcopy(parts) + bad[3]['events'].insert(2, dict(parts[4]['events'][0], field='C')) + try: + storage_audit(bad) + except ValueError as e: + controls['map_private_C'] = str(e) + bad = deepcopy(parts) + bad[3]['events'].pop(-2) + try: + storage_audit(bad) + except ValueError as e: + controls['C_survives_owner_boundary'] = str(e) + bad = deepcopy(parts) + bad[3]['events'].pop(1) + try: + storage_audit(bad) + except ValueError as e: + controls['missing_initial_C_clear'] = str(e) + bad = deepcopy(parts) + bad[4]['events'][0]['shift'] ^= 1 + first_view = parts[4]['events'][0] + changed_phase = phase(transport(FULL, tuple(first_view['g']), first_view['shift'] ^ 1)) + need(changed_phase != phase(FULL) and changed_phase[0][0] == 3, 'Concrete nontrivial phase from the wrong translation') + try: + replay(bad, initial, frames, routes) + except ValueError as e: + controls['wrong_registered_translation'] = str(e) + need(len(controls) == 9 and all(controls.values()), 'All algebra, storage, and phase controls reject') + receipt = dict(status='PASS_INDEPENDENT_OWNER_LOCAL_MASKED_CLEANUP', source_pins=PINS, + latent_input_columns=457, output_fields=457, independent_data_columns=448, + arbitrary_donor_columns=8, arbitrary_owned_scratch_columns=1, + actual_stage2_routes=112, actual_cover_maps=240, output_rows_sha256=output_hash, + storage_audit=storage, replay=replay_receipt, intermediate_checkpoints=list(checkpoints), + invoice=bill, part_invoices=part_bills, negative_controls=controls, + wrong_translation_phase_witness=dict(character=1, correct_exponent_mod4=1, changed_exponent_mod4=3), + producer_imported_or_executed=False, native_kernel_replayed=False, + global_schedule_replayed=False, off_selected_Y0_accesses=0, hole_frame_Y1_accesses=0, + withdrawn_25360_scalar_1072_map_word_accepted=False, + scope='The stated post-F2 local cut, with real disjoint family roles and complete barriers between the recorded sweeps.', + open=['Actual changed F2 global owner admission', 'Later B3 admission and mixed target-code retirement', + 'Donor alignment and restoration in the new global schedule', + 'Recursive child hosting, primitive precision, complete stream invoice, supplier and kappa']) + args.out.write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status']) + print(json.dumps(dict(invoice=bill, output_rows_sha256=output_hash, storage=storage), sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/MASKED-QUERY.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/MASKED-QUERY.md new file mode 100644 index 0000000000..f02c0e9a3b --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/MASKED-QUERY.md @@ -0,0 +1,241 @@ +# A unit code for a prescribed masked current query + +The actual clean-J forward core can export the masked query + + R_U(X_U+Y_U) + +in eight selected FULL target fields. Here U is the 96-port complement +of the earlier A and T sets. The new word uses eight rank-one children +beyond the clean-J core, the same count as the earlier full-sum query +word. Its complete local scalar allowance is 213,466. It preserves all +target information with a dyadic unit code, restores all 480 arbitrary +helper contents, and clears the eight owned private fields. No helper +baseline becomes a new record. + +The input mask costs only 64 half ADDs at the original I cut. A selected +source correction makes the source query equal to the same mask. This +provides the eight directions missing from the selected-16 dirty erase. +It changes the F2 target code and its selected Y frame type. It does not +close the later controller or improve the complete kappa calculation. + +## Exact unit and query theorem + +Work over a ring. Use free coordinate modules and compatible linear maps. +Let R:V->W and K:W->V. Choose output coordinates A such that R_A is +invertible, and assume the A part of K is the embedded inverse +P_A=iota_A R_A^-1. Define + + L_A=R_A pi_A, R_offA=R-L_A, + K_offA=K-P_A, J=I-KR. + +The earlier current-query unit is + + T=(I-K_offA L_A)(I+P_A R_offA). + +Each factor is a unit shear. Their inverse factors have the opposite +sign and reverse order. Direct expansion gives + + L_A T=R, pi_offA T=pi_offA J. + +No inverse of J or I-RK is used. + +Choose a set U of target coordinates to retain in the query. Let V0 be +its complement, R_U=R pi_U, and L_V0=R pi_V0. Suppose R_U has a right +inverse P_U supported on U: + + R_U P_U=I, pi_V0 P_U=0. + +Set + + B=I-P_U L_V0, B^-1=I+P_U L_V0. (1) + +The product L_V0 P_U is zero. Thus both inverse products in (1) are I. +Also R P_U=I, so + + R B=R-L_V0=R_U. (2) + +For any prescribed source query D:V->W, define + + H_D=J+P_A(D-L_A J). (3) + +Only the A output rows differ from J, and L_A H_D=D. The complete map + + X_out=X, Y_out=H_D X+T B Y (4) + +is invertible. Its exact content inverse is + + X=X_out, + Y=B^-1 T^-1(Y_out-H_D X_out). (5) + +Its selected query is + + L_A Y_out=D X+R_U Y. (6) + +This proof makes no commutation assumption about the displayed maps. +All products retain their stated order. The source response H_D need +not be invertible: X remains available, and the target block T B is a +unit. Equation (5) is not a circuit for mixed native frames. + +The right-inverse condition is also necessary for any invertible target +code C with L_A C=R_U. Indeed, C^-1 P_A is a right inverse of R_U. Thus +the theorem gives an exact algebraic condition for this masked-query +interface. A dyadic coordinate minor is one sufficient way to obtain +P_U; it is not asserted to be the only way. + +## The actual section and selected source response + +Use the pinned 8-by-112 R and K=R^t/4. The output set and excluded set are + + A=[0,7,20,27,36,46,57,111], + T_ports=[21,37,47,76,81,87,92,110], + V0=A union T_ports, U=all other ports. + +The retained set contains the exact orthogonal minor + + H_ports=[1,6,22,28,33,49,58,109]. + +Its Gram matrix is 4I and its determinant is -256. Its transpose divided +by four gives the dyadic section P_U. A separate greedy minor +[1,2,3,4,5,6,8,12] has determinant -32 and provides an independent check +that the retained query has a dyadic section. + +The map B-I has exactly 64 nonzero entries: 40 coefficients -1/2 and +24 coefficients +1/2. Its destinations are H_ports and its sources are +V0. These supports are disjoint, so its 64 literal ADDs commute and no +snapshot or scratch field is required. + +Choose D=R_U. Equation (6) is then the masked sum R_U(X_U+Y_U). In this +case the selected correction simplifies to + + H_D-J=P_A(2R_U+L_T), L_T=R_T pi_T. + +It has 384 unit ADDs and 32 half ADDs. Its scalar allowance is 3,392, +the same as the earlier full-sum source correction. The target-only +choice D=0 is also allowed by the theorem. Its literal selected suffix +would have 416 half ADDs and complete scalar allowance 214,234. That +second word is not emitted by this packet. + +## Native chronology and complete local cost + +The literal word has this order: + +1. Apply B to Y at the original I input cut. +2. Apply the two unchanged T prefix factors to Y at I. +3. Run the complete unchanged clean-J core. +4. Apply the eight unchanged positive lines to Y_A. +5. Add (H_D-J)X to those now-FULL selected Y fields. + +The target prefix is T B. Reversing this order is incorrect. Before the +core, its data is (X,T B Y). The core gives target T B Y+JX. The last +two steps change its selected type and add the exact difference in (3). +They do not change any off-selected response. This proves (4) on +arbitrary inputs without transferring a generic budget to a new kernel. + +| Fields | Input frame | Output frame | +| --- | --- | --- | +| X_p | C_qp | FULL | +| Y_p in A | I | FULL | +| Y_p outside A | I | FULL C_qp^-1 | +| 480 helpers | Original frames | Original complete job frames | +| C0 through C7 | Owned, arbitrary | Zero at I | + +The new mask touches only target data at I. Every new suffix ADD reads +FULL X and writes FULL Y_A. The retained core and the eight complete +native line records are unchanged from the independently reviewed unit +query packet. Their exact phases and kernels are inherited. The new +word does not add a native phase assumption. + +| Part | Real scalar primitives | +| --- | ---: | +| Mask B | 640 | +| Retained T prefix | 7,296 | +| Retained clean-J core | 202,138 | +| Masked source correction | 3,392 | +| Complete word | 213,466 | + +There are 26,587 literal events. The native profile is +{1:2420,2:418,3:432,4:142,5:82}, of mass 5,530. The eight added rank-one +children have sixteen native wrappers. There is no added field and no +new private use in the mask. New child hosting, address work, primitive +prefix precision, and the complete supplier invoice remain separate. + +## The exact missing read at F2 + +This section states an ordered content identity at the later complete +cut. It does not bind the changed F2 word to the full global schedule. +Use the actual stage-2 routes in the earlier dirty-record packet. Let +z=(x,y), d=z+E h, and let c denote the other pair's X before the first +selected bridge. That bridge gives the F2 source and target + + l_U=x_U+c_U, l_V0=c_V0, + v_U=y_U, v_V0=arbitrary. + +The masked word retains the FULL source l. Its selected output supplies + + q=R2_U(l_U+y_U). + +At the post-F2 idle, the parked selected fields d_XV0 and d_YV0 and the +other source fields c_U have the same full U2 frame as l. Define + + f=R0_U(l_U-c_U)+R0_V0 d_XV0. + +Since R0 E_X=0, f=R0 x. The exact query required to erase the eight +dirty A records is + + Gz=P2_A [q-R2_U c_U+R2_T(d_XT+d_YT) + -R2_offA P0_offA f]. (7) + +The term in brackets is R2_offA of the original F0 target. Every route +in (7) keeps its order. No stage-2 map is moved through a stage-0 query. +There is no read of an off-selected Y field at this cut. The arbitrary +target values v_V0 cancel because the mask removed them before the core. +The exact row check is supplied by the independent proof review. + +The unmasked R2(l+v) query does not suffice for this input split. A change +in y_U can be canceled in that query by an independent change in v_A, +while all other named FULL observations remain fixed. The mask resolves +that specific obstacle. It does not retire the new target code T B or +its selected native line code before B3. + +The direct selected-16 component has boundary cost + + 16(112 initial Y+96 early Y returns+16 final X)+214=3,798. + +Appending eight query children per replica gives the diagnostic 3,926, +versus 3,798 for full-W. A complete replacement of the old QQ16 F2 has +a different comparison: its original local word already has eight +rank-one children beyond clean-J, as does this masked word. That +replacement need not add native rank at this local comparison point. +Neither comparison includes retirement of the changed target code or +admission of the next call. The 224-per-pair boundary cost is not removed. + +## Reproduction, sources, and scope + +Run with standard-library Python 3 and one CPU: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_masked_query.py --out /private/tmp/masked-query +``` + +Expected status is `PASS_MASKED_CURRENT_SUM_QUERY_UNIT_712_COLUMNS`. +The producer checks all 712 input columns, 480 arbitrary helpers, eight +private outputs, both mask and target inverse orders, the exact query, +the legal new scalar cuts, the unchanged native records, and the literal +cost. Controls reject a missing mask, the opposite mask sign, the wrong +prefix order, the old unmasked source suffix, and an incomplete section. + +The source is the paired-package-review current-query encoder, especially +UNIT-QUERY.md and its payload 9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c. +The source proof supplies T, the clean-J core, and the selected positive +line interface. The coherent-port UNIT-REVIEW supplies its independent +native review. The earlier QQ16 and eight-record work supplies the +actual port sets and equation (7). The source pins are explicit in the +producer and emitted payload. All predecessor files remain unchanged. +OpenAI Codex supplied research, implementation, and review assistance. + +This is a local enabling construction. It supplies selective query +access with an explicit unit target code and exact native chronology. +Global owner admission for the replacement, mixed-frame code retirement, +recursive child workspace, precision, the remaining output maps, and +the complete supplier are not proved here. No publication or kappa +change is claimed. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/MASKED-UNIT-MANIFEST.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/MASKED-UNIT-MANIFEST.json new file mode 100644 index 0000000000..26fb34829f --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/MASKED-UNIT-MANIFEST.json @@ -0,0 +1,16 @@ +{ + "files": { + "MASKED-QUERY.md": "af7d8c132528da939a01bdbfa49a643697e4ef6c388642de6c8ca9f1fdc6fdd3", + "emit_masked_query.py": "809509a2c41c947a4ea64fcb579b739b24fe6020e59eaa1dae3d8f38e63cfaed", + "masked-sum/MASKED-QUERY-PROGRAM.json.gz": "a4fc54c4af9d3f65e60b025ee26a144d133ae935774d73bbb48d5c7d39ef8581", + "masked-sum/MASKED-QUERY.json": "b6ad9e6705aefb35e2f7ed621334151710b2a31765f4c51f76f26641394d2d0a" + }, + "independent_review": { + "algebra/masked-query-review/CHECK.json": "140361c521c6a9c8293a48030a7517658ff8ef305234b582768a0d537751ca9f", + "algebra/masked-query-review/REVIEW.json": "04dfde7cd7182f711bca4d75f0a258f447131dd65b779bef7095e4729d542488", + "algebra/masked-query-review/REVIEW.md": "899cc3965931df85fd3217e9812b757085a79c7339bea89577905598dee189a1" + }, + "scope": "Local masked unit and conditional ordered G span. No global masked consumer closure.", + "second_replay": "All emitted bytes match /private/tmp/masked-sum-replay.", + "status": "FROZEN_LOCAL_MASKED_UNIT_WITH_INDEPENDENT_REVIEW" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/PRIVATE-COVER-ISSUE.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/PRIVATE-COVER-ISSUE.md new file mode 100644 index 0000000000..abece5398c --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/PRIVATE-COVER-ISSUE.md @@ -0,0 +1,27 @@ +# A limit in the first masked cleanup word + +The files `emit_cleanup.py` and `cleanup/MASKED-CLEANUP-WORD.json` are +an exact whole-family algebra calculation. They are not an admitted +stream program. Their scalar count 25,360 and cover-map count 1,072 must +not be used as a complete access invoice. + +The part `ordered_old_query_correction` forms a query in private C and +then applies a stage-2 cover map to C. The supplied C role exists only +at the current owner. It does not hold a query at every cover owner. +The row interpreter checks ordered maps and exact native phases, but +it does not check this storage extent. A correct whole-family map does +not supply the missing family of private values. + +The masked unit and its independent review are not affected. Its input +mask and selected output correction use data inside one invocation. +The exact later G identity is also valid. That identity still needs a +legal stream program. + +The replacement uses temporary aliases in real data families. It clears +C before each owner ends. All cover maps then act on real data or donor +families. Its executable and receipt are separate files. The old files +remain fixed to record the failed access assumption. + +The coordinating agent identified the private-owner limit. OpenAI Codex +supplied the calculations and this correction. No publication, complete +supplier result, or kappa change follows from either local calculation. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP-ACCEPTANCE.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP-ACCEPTANCE.json new file mode 100644 index 0000000000..2eb3544106 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP-ACCEPTANCE.json @@ -0,0 +1,11 @@ +{ + "frozen_producer_manifest": "1ce42dd7732c39b4f6f9dec1329e7e3145751e8827e7020fe6d5ee04c7e67e03", + "independent_review": { + "CHECK.json": "66099ebea558838ff81ef941c7c5a8a6f015afe9ce44579fd080089c8e45a4f7", + "REVIEW.json": "2f3fbe9e2c3f1c54e6a39cdc447444dd09a277a78839bb90f79fec08ff1a3bb7", + "REVIEW.md": "f413802e9dd6ed7284a1c815f93d976b241686dd0a6274a7ecbacc12ea32cce4" + }, + "independent_review_directory": "algebra/stream-cleanup-review", + "scope": "Local exact owner-family access at the stated aligned cut. Global F2 admission, tape costs, B3 and content-code retirement remain open.", + "status": "INDEPENDENTLY_ACCEPTED_LOCAL_OWNER_SCOPE" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP-MANIFEST.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP-MANIFEST.json new file mode 100644 index 0000000000..19591ca41c --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP-MANIFEST.json @@ -0,0 +1,12 @@ +{ + "files": { + "PRIVATE-COVER-ISSUE.md": "c4419c12661d8617135ce17d0918c47a98b08532e5c70422e25c777567f05eae", + "STREAM-CLEANUP.md": "1c75fefbe456feb11c91d65c0da390087783983156dfb1fecc4019695cfd3338", + "emit_stream_cleanup.py": "93d7076937427a8c1ee1c15911c7e6df74520cbb555284ec07103a5224c7b8ba", + "stream-cleanup/STREAM-CLEANUP-WORD.json": "e40f0ba1b06f165e805213213db7dd2936fb180aa8a304fcca9d061bdcf52fde", + "stream-cleanup/STREAM-CLEANUP.json": "fc6844f816222935219a6b7fb4d8dbdefcb6e9be9c3193355a40080e04f15227" + }, + "scope": "Local whole-family access with owner-local C. No changed global F2 admission or later target-code retirement.", + "second_replay": "All emitted bytes match /private/tmp/masked-stream-cleanup-replay.", + "status": "FROZEN_PRODUCER_PASS_PENDING_INDEPENDENT_REVIEW" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP.md new file mode 100644 index 0000000000..52f4cb0983 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/STREAM-CLEANUP.md @@ -0,0 +1,177 @@ +# A masked query cleanup with one local scratch field + +The masked F2 query has a complete local donor erase word. The word +uses one owned scratch field, no new native child, 240 complete-family +cover maps, and 25,124 real scalar primitives. All temporary data codes +are restored. All eight arbitrary donor baselines are restored. No +private value moves between cover owners. + +This result assumes the stated post-F2 complete cut. It does not admit +the changed F2 target code in the later controller. It does not close +the full supplier or change kappa. Native child hosting, stream address +work, primitive prefix precision, and the full controller invoice remain +separate obligations. + +## Input and required erase + +Use A, T, U and the routed maps from MASKED-QUERY.md. Put V=A union T. +The two current data pairs have these logical values: + + X0_U=x_U+c_U, X0_V=c_V, + X1_U=c_U, X1_V=d_X,V, + Y1_V=d_Y,V, d=z+E h, z=(x,y). + +The eight selected Y0_A fields supply P2_A q, where + + q=R2_U(X0_U+y_U). + +Each donor contains h+Gz. The exact error and read identities are + + R0 d_X=R0 x, + d_X,T+d_Y,T=x_T+y_T, + Gz=P2_A[q-R2_U c_U+R2_T(d_X,T+d_Y,T) + -R2_offA P0_offA R0 x]. (1) + +All X0 and X1 fields, Y1_V, Y0_A, and the aligned donors have the same +completed U2 native frame. Y0 outside A and Y1_U need not have that +frame. The word does not read or change those Y fields. + +The symbols c, h, and the unused target values are arbitrary. They may +be correlated with x and y. The proof uses linear identities, not +independence of these values. + +## Temporary real-family aliases + +First subtract Y0_A from the donors. This removes P2_A q. + +For each U port, apply X0_p-=X1_p. Exchange X0_p and X1_p on each V +port by the exact four-scalar physical swap. The state is now + + X0=d_X, X1=c. + +The two banks have the same native frame at this cut. Every scalar ADD +in this preparation is legal. No borrowed data is cleared. + +Next apply Y1_T+=X0_T+X1_T. Define + + f=R0 X0=R0 x, + a_offA=c_offA+P0_offA f, + b_T=c_T+d_X,T+d_Y,T. + +Form the alias X1_offA+=P0_offA R0 X0. Its source bank X0 is unchanged. +For each cover owner, clear the owned C at the completed frame. Form +each of the eight R0 X0 rows in C and scatter its quarter response to +X1_offA. Clear C before the next row. After the eighth row, clear C at +the identity frame and end this owner's body. C has no value at any +other cover owner. The actual alias is held in the real X1 family. + +The same owner loop can run in reverse sign to undo this alias. Its +source X0 remains fixed throughout both directions. Thus no inverse of +J and no non-dyadic scalar division are required. + +## Ordered cover read and restoration + +After the complete alias sweep ends, gather these real families through +their registered stage-2 views: + +- the eight A donors; +- the 104 off-A X1 fields, which contain a_offA; +- the eight T fields of Y1, which contain b_T. + +Every gathered field has the complete U2 frame. The pinned route and +its registered translation preserve that exact native phase. The query +has 416 half ADDs from X1 and 32 half ADDs from Y1. In the gathered +coordinates, add the former and subtract the latter into the donors. +The added value is + + P2_A [R2_offA a_offA-R2_T b_T] + =P2_A [R2_U c_U+R2_offA P0_offA f + -R2_T(d_X,T+d_Y,T)]. (2) + +Equations (1) and (2) leave each donor equal to h. Return every source +and donor view in reverse order. Then undo the X1 alias, undo the T +sum, and undo the initial source-bank preparation. This restores every +temporary data value. Finally subtract E h from the parked selected +data fields. The original selected values x_V and y_V are restored. + +The output X0 and Y0 are unchanged by the complete cleanup. The output +X1_U and Y1_U are unchanged. The output donors equal their arbitrary +original baselines. The owned C is zero at the identity frame. The +480 inherited helpers are not used by this word. + +## Why the private storage is legal + +The literal payload records complete `owner_sweep` and `family_sweep` +blocks. A family sweep consists only of maps on real data or donor +families. An owner sweep has no cover map. Every use of C is inside one +private owner body, with a final CLEAR before the next owner starts. + +There are two private owner sweeps: the alias and its inverse. Neither +overlaps a family sweep. All cross-owner response data resides in X1, +which is a complete real family. No local C array is treated as a +complete cover family. The source and response destination banks are +disjoint, so the source query does not change during either alias. + +The source-domain access check accepts this complete-family pattern +conditionally on exact source phases, view order, disjoint fields and +costs. The executable checks those local conditions. The actual global +owner trace for the changed masked F2 word remains a separate step. + +The earlier `emit_cleanup.py` did not satisfy this storage condition. +Its map on C was a whole-family algebra calculation. The correction and +the withdrawn cost are recorded in PRIVATE-COVER-ISSUE.md. Those earlier +bytes remain fixed. + +## Exact local invoice + +| Block | Real scalar primitives | +| --- | ---: | +| Subtract the eight selected query fields | 64 | +| Prepare the source banks | 1,184 | +| Prepare the eight T sums | 128 | +| Form the real source alias | 8,594 | +| Read the two gathered source groups | 4,480 | +| Undo the source alias | 8,594 | +| Undo the T sums | 128 | +| Undo the source-bank preparation | 1,184 | +| Subtract E h | 768 | +| Total | 25,124 | + +Each alias direction has 448 unit query ADDs, 416 quarter response +ADDs and nine owned clears. The 120 real family views each have a +gather and a return, for 240 maps. The word has 2,584 ADDs, 32 sign +scales, 18 owned clears, and no new native child or native wrapper. +One already owned C is sufficient. There is no clean record family. + +The native count is a component count. It does not include any cost +to retire the mixed target code of the new F2 call. It does not remove +the selected-16 component's 224-per-pair boundary charge. + +## Exact checks and scope + +Run with one standard-library Python process: + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_stream_cleanup.py --out /private/tmp/masked-stream-cleanup +``` + +Expected result: `PASS_OWNER_LOCAL_MASKED_CLEANUP_457_COLUMNS`. + +The replay checks all 448 underlying data columns, eight arbitrary +donor columns, and one arbitrary owned scratch column. It uses exact +rational coefficients and free ordered route words. It checks every +new scalar gate's native phase, every actual stage-2 view and inverse, +all returned data and donor values, and the complete local invoice. + +Controls reject missing query, sum, alias, routed response, and error +correction blocks. Separate controls reject a map on C inside an owner +sweep and a C value that survives an owner boundary. These controls +address the storage extent that the earlier whole-family replay missed. + +This is a local construction at a stated cut. It does not identify the +other pairs' complete output map, admit the later B3 call, or supply +the whole supplier's recursive storage and precision. Its source pins +are recorded in the literal word. The masked-unit, eight-record, route, +and delayed-cleanup packets supply the stated algebra and native types. +OpenAI Codex supplied research, implementation, and review assistance. +No source packet was changed and no publication was made. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_masked_query.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_masked_query.py new file mode 100644 index 0000000000..f8c0b370ec --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_masked_query.py @@ -0,0 +1,166 @@ +#!/usr/bin/env python3 +"""Emit a unit target code that exports a masked current query.""" + +import argparse +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[2] +PRIOR = LANES / 'paired-package-review/upstream-followthrough-20261015/current-query-encoder' +INTERPRETER = PRIOR.parent / 'full-exit-readers-review/check_review.py' +PINS = { + PRIOR / 'emit_current_query.py': 'd2c45cd05f8ad0e27573226a012e183c5b0ecec4b49655beeb1f9fdd13fb3184', + INTERPRETER: 'e59b1fe12a62e8de01eae9dd25b415524f8e43c56806f1e05a8d1d7d00b70168', + PRIOR / 'UNIT-QUERY-PROGRAM.json.gz': '75e3e04f79d319f0024d9139d1dceaeeb2fb8e741f6e31a6079000c219c4eaa2', + PRIOR / 'UNIT-QUERY.md': '6f53e12ba5144c8eb9df5de7eb3e19e7e0c7c1e1119db3e8116a2e643662f3a7', + LANES / 'coherent-port/current-query-review-20261015/UNIT-REVIEW.json': + '58620b41e6b6aef4250bea4c4b4e66ab4c8fd03cd8bdd1f438a61377f297e756', +} +PAYLOAD_PIN = '9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c' +T_PORTS = (21, 37, 47, 76, 81, 87, 92, 110) +SECTION_PORTS = (1, 6, 22, 28, 33, 49, 58, 109) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + for path, digest in PINS.items(): + if sha256(path.read_bytes()).hexdigest() != digest: + raise ValueError('Pinned source '+str(path)) + spec = importlib.util.spec_from_file_location('retained_query', PRIOR / 'emit_current_query.py') + base = importlib.util.module_from_spec(spec) + spec.loader.exec_module(base) + m = base.m + raw = gzip.decompress((PRIOR / 'UNIT-QUERY-PROGRAM.json.gz').read_bytes()) + m.need(sha256(raw).hexdigest() == PAYLOAD_PIN, 'Unit-query payload pin') + old = json.loads(raw) + # The retained query proof pins R through the unchanged current-query packet. + current_raw = gzip.decompress((PRIOR / 'CURRENT-QUERY-PROGRAM.json.gz').read_bytes()) + m.need(sha256(current_raw).hexdigest() == old['base_payload_sha256'], 'Inherited exact R source') + current = json.loads(current_raw) + R = [{int(p): Q(v) for p, v in row.items()} for row in current['R']] + J = [{int(p): Q(v) for p, v in row.items()} for row in current['J']] + A = tuple(old['selected_A']) + V = A+T_PORTS + U = tuple(p for p in range(112) if p not in V) + m.need(len(set(V)) == 16 and set(SECTION_PORTS) <= set(U), 'Disjoint mask and section') + I = [{p: Q(1)} for p in range(112)] + I8 = [{k: Q(1)} for k in range(8)] + zero8 = [{} for _ in range(8)] + P = [{k: row.get(p, 0)/4 for k, row in enumerate(R) if row.get(p, 0)} + if p in SECTION_PORTS else {} for p in range(112)] + kept = [{p: v for p, v in row.items() if p in U} for row in R] + masked = [{p: v for p, v in row.items() if p in V} for row in R] + m.need(base.multiply(kept, P) == I8, 'Actual retained-port dyadic section') + m.need(base.multiply(masked, P) == zero8, 'Mask and section supports are disjoint') + T = [{int(p): Q(v) for p, v in row.items()} for row in old['T']] + Tinv = [{int(p): Q(v) for p, v in row.items()} for row in old['inverse_T']] + LA = [{p: v for p, v in row.items() if p in A} for row in R] + PA = [{k: row.get(p, 0)/4 for k, row in enumerate(R) if row.get(p, 0)} + if p in A else {} for p in range(112)] + delta = base.multiply(P, masked) + B, Binv = [[dict(row) for row in I] for _ in range(2)] + for p, row in enumerate(delta): + m.add(B[p], row, -1) + m.add(Binv[p], row) + TB = base.multiply(T, B) + TBinv = base.multiply(Binv, Tinv) + m.need(base.multiply(B, Binv) == base.multiply(Binv, B) == I, 'Both mask inverse orders') + m.need(base.multiply(TB, TBinv) == base.multiply(TBinv, TB) == I, 'Both target inverse orders') + m.need(base.multiply(R, B) == kept, 'Exact masked query') + m.need(base.multiply(LA, T) == R and base.multiply(LA, TB) == kept, 'Retained unit and masked target queries') + m.need(all(v.denominator & (v.denominator-1) == 0 + for matrix in (B, Binv, TB, TBinv) for row in matrix for v in row.values()), 'Dyadic maps and inverses') + + mask_prefix = [['scalar', ['add', ['L', 112+p], ['L', 112+q], -v.numerator, v.denominator], 0] + for p, row in enumerate(delta) for q, v in sorted(row.items())] + m.need(len(mask_prefix) == 64 and all(abs(v) == Q(1, 2) for row in delta for v in row.values()), '64 half additions') + m.need(all(e[1][1][1]-112 in SECTION_PORTS and e[1][2][1]-112 in V and e[2] == 0 + for e in mask_prefix), 'Every new gate has legal I-frame disjoint supports') + query_delta = [dict(row) for row in kept] + for k, row in enumerate(base.multiply(LA, J)): + m.add(query_delta[k], row, -1) + correction = base.multiply(PA, query_delta) + H = [dict(row) for row in J] + for p, row in enumerate(correction): + m.add(H[p], row) + m.need(base.multiply(LA, H) == kept, 'Exact masked source query') + m.need(all(not row or p in A for p, row in enumerate(correction)), 'Correction only on selected FULL rows') + core, native = old['retained_core'], old['native_normalizations'] + suffix = [['scalar', ['add', ['L', 112+p], ['L', q], v.numerator, v.denominator], 1] + for p, row in enumerate(correction) for q, v in sorted(row.items())] + program = mask_prefix+old['prefix']+core+native+suffix + expected = [{p: Q(1)} for p in range(712)] + for p in range(112): + expected[112+p] = dict(H[p]) + m.add(expected[112+p], {112+q: v for q, v in TB[p].items()}) + expected[704:] = [{} for _ in range(8)] + output = m.replay(program) + m.need(output == expected, 'All 712 input columns of the complete word') + m.need(all(output[h] == {h: Q(1)} for h in range(224, 704)), 'All 480 arbitrary helpers restore') + m.need(not any(k >= 224 for row in output[:224] for k in row), 'No helper or private data coefficient') + prefix_map = m.replay(mask_prefix+old['prefix']) + m.need(prefix_map[112:224] == [{112+q: v for q, v in row.items()} for row in TB], 'Literal target order T B') + actual_query = base.multiply(LA, output[112:224]) + query_expected = [dict(row) for row in kept] + for k, row in enumerate(kept): + m.add(query_expected[k], {112+p: v for p, v in row.items()}) + m.need(actual_query == query_expected, 'Selected FULL query on every input') + # This inverse is an exact content map. It is not a mixed-frame circuit. + recovered_y = base.multiply(TBinv, output[112:224]) + for p, row in enumerate(base.multiply(TBinv, H)): + m.add(recovered_y[p], row, -1) + m.need(recovered_y == [{112+p: Q(1)} for p in range(112)], 'All original target information is retained') + m.need(len(native) == 8 and all(e[0] == 'intrinsic_line' and e[3] == 1 for e in native), 'Unchanged eight positive query lines') + m.need(core == old['retained_core'] and native == old['native_normalizations'], 'Every retained native event is unchanged') + m.need(all(e[2] == 1 and e[1][1][1]-112 in A and e[1][2][1] < 112 for e in suffix), 'Every new source correction uses FULL fields') + price = lambda events: sum(m.cost(e) for e in events if e[0] == 'scalar') + costs = {'mask_prefix': price(mask_prefix), 'retained_unit_prefix': price(old['prefix']), + 'retained_core': price(core), 'selected_masked_source_correction': price(suffix), + 'complete_scalar': price(program), 'native_mass': 5530, + 'added_rank_one_children': 8, 'added_native_wrappers': 16, + 'new_fields': 0, 'new_mask_private_use': 0} + m.need(costs['mask_prefix'] == 640 and costs['complete_scalar'] == 213466, 'Exact scalar bill') + controls = { + 'mask_omitted': m.replay(old['prefix']+core+native+suffix) != expected, + 'mask_sign_reversed': m.replay([['scalar', [*e[1][:3], -e[1][3], e[1][4]], 0] for e in mask_prefix]+old['prefix']+core+native+suffix) != expected, + 'mask_after_T': m.replay(old['prefix']+mask_prefix+core+native+suffix) != expected, + 'unmasked_source_suffix': m.replay(mask_prefix+old['program']) != expected, + 'incomplete_section': base.multiply(kept, [{} if p == SECTION_PORTS[0] else row for p, row in enumerate(P)]) != I8, + } + m.need(all(controls.values()), 'Each mask-specific negative control fails') + packet = {'schema': 'masked-current-query-unit-v1', 'source_payload_sha256': PAYLOAD_PIN, + 'source_pins': {str(path.relative_to(LANES)): digest for path, digest in PINS.items()}, + 'R': base.serial(R), 'selected_A': list(A), 'masked_ports': list(V), 'kept_ports': list(U), + 'section_ports': list(SECTION_PORTS), 'section': base.serial(P), + 'B': base.serial(B), 'inverse_B': base.serial(Binv), 'T': old['T'], + 'source_response': base.serial(H), 'source_query': base.serial(kept), + 'target_code': base.serial(TB), 'inverse_target_code': base.serial(TBinv), + 'mask_prefix': mask_prefix, 'retained_unit_prefix': old['prefix'], 'retained_core': core, + 'native_normalizations': native, 'suffix': suffix, 'program': program, + 'physical_input': old['physical_input'], 'physical_output': old['physical_output'], + 'output_frames': old['output_frames']} + encoded = m.encode(packet) + receipt = {'status': 'PASS_MASKED_CURRENT_SUM_QUERY_UNIT_712_COLUMNS', + 'payload_sha256': sha256(encoded).hexdigest(), 'source_payload_sha256': PAYLOAD_PIN, + 'all_input_columns': 712, 'restored_arbitrary_helpers': 480, 'cleared_owned_fields': 8, + 'program_events': len(program), 'mask_events': len(mask_prefix), 'costs': costs, + 'query': 'L_A Y_out = R_U(X_U+Y_U)', 'target_inverse': 'Y = (T B)^-1(Y_out - H X_out)', + 'controls': controls, + 'scope': 'Exact local native word. Target inverse is algebraic only; changed-code consumer, child hosting, streams and precision remain open.'} + args.out.mkdir(parents=True, exist_ok=True) + (args.out/'MASKED-QUERY-PROGRAM.json.gz').write_bytes(gzip.compress(encoded, mtime=0)) + (args.out/'MASKED-QUERY.json').write_text(json.dumps(receipt, indent=2, sort_keys=True)+'\n') + print(receipt['status']) + print(json.dumps(costs, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_stream_cleanup.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_stream_cleanup.py new file mode 100644 index 0000000000..a19ba2a5df --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/emit_stream_cleanup.py @@ -0,0 +1,261 @@ +#!/usr/bin/env python3 +"""Erase the masked-query donor debt through real source families.""" + +import argparse +from copy import deepcopy +from fractions import Fraction as Q +import gzip +from hashlib import sha256 +import importlib.util +import json +from pathlib import Path + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[2] +SOURCE = LANES / 'paired-package-review/upstream-followthrough-20261015/check_restoration.py' +ERROR = LANES / 'residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json' +MASK = HERE / 'masked-sum/MASKED-QUERY-PROGRAM.json.gz' +PINS = { + SOURCE: '8c6fb324aa898f86b3edbd85252570a2dc43c40455887f789a153191645686ca', + ERROR: 'bddba461c6f06213c7ab938d24993ac6d5ea44169f9705594227acfdc5b6e880', + MASK: 'a4fc54c4af9d3f65e60b025ee26a144d133ae935774d73bbb48d5c7d39ef8581', +} + + +def add(dst, src, c=1): + return dict(op='add', dst=dst, src=src, c=str(c)) + + +def swap(left, right): + return [add(left, right), add(right, left, -1), add(left, right), + dict(op='scale', field=right, c='-1')] + + +def inverse(events): + answer = [] + for event in reversed(events): + event = dict(event) + if event['op'] == 'add': + event['c'] = str(-Q(event['c'])) + elif event['op'] == 'scale': + event['c'] = str(1 / Q(event['c'])) + else: + raise ValueError('Unsupported scalar inverse') + answer.append(event) + return answer + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument('--out', type=Path, required=True) + args = parser.parse_args() + for path, digest in PINS.items(): + if sha256(path.read_bytes()).hexdigest() != digest: + raise ValueError('Pinned source ' + str(path)) + spec = importlib.util.spec_from_file_location('retained_routes', SOURCE) + m = importlib.util.module_from_spec(spec) + spec.loader.exec_module(m) + _, R, A, T, U, routes = m.load() + V = A + T + off_a = U + T + packet = json.loads(gzip.decompress(MASK.read_bytes())) + H = [{int(q): Q(v) for q, v in row.items()} for row in packet['source_response']] + TB = [{int(q): Q(v) for q, v in row.items()} for row in packet['target_code']] + section = {(a, p): sum(R[k][a] * R[k][p] for k in range(8)) / 4 + for a in A for p in range(112)} + + def view(field, p, undo=False): + record = routes[2, p] + return dict(op='map', field=field, letter=[2, p], g=list(record['g']), + shift=m.action(record['g'], record['shift']) if undo else record['shift']) + + def alias(sign): + events = [dict(op='private_begin')] + for k in range(8): + events.append(dict(op='clear', field='C', frame='current')) + events.extend(add('C', f'X0:{p}', R[k][p]) + for p in range(112) if R[k][p]) + events.extend(add(f'X1:{p}', 'C', sign * R[k][p] / 4) + for p in off_a if R[k][p]) + events += [dict(op='clear', field='C', frame='identity'), dict(op='private_end')] + return events + + prepare = [add(f'X0:{p}', f'X1:{p}', -1) for p in U] + for p in V: + prepare.extend(swap(f'X0:{p}', f'X1:{p}')) + sum_t = [add(f'Y1:{p}', f'{bank}:{p}') for p in T for bank in ('X0', 'X1')] + fields = [(f'R{p}', p) for p in A] + fields += [(f'X1:{p}', p) for p in off_a] + [(f'Y1:{p}', p) for p in T] + gather = [view(field, p) for field, p in fields] + query = [add(f'R{a}', f'X1:{p}', section[a, p]) + for a in A for p in off_a if section[a, p]] + query += [add(f'R{a}', f'Y1:{p}', -section[a, p]) + for a in A for p in T if section[a, p]] + selected = deepcopy(json.loads(ERROR.read_text())['selected_error_correction']) + for event in selected: + for key in ('field', 'dst', 'src'): + if key in event and event[key][0] in ('X', 'Y'): + field = event[key] + event[key] = field[0] + '1:' + field[1:] + + parts = [ + dict(name='query_subtraction', scope='owner_sweep', + events=[add(f'R{p}', f'Y0:{p}', -1) for p in A]), + dict(name='source_prepare', scope='owner_sweep', events=prepare), + dict(name='selected_sum_prepare', scope='owner_sweep', events=sum_t), + dict(name='source_alias', scope='owner_sweep', events=alias(1)), + dict(name='source_gather', scope='family_sweep', events=gather), + dict(name='routed_response', scope='owner_sweep', events=query), + dict(name='source_return', scope='family_sweep', + events=[view(field, p, True) for field, p in reversed(fields)]), + dict(name='source_alias_inverse', scope='owner_sweep', events=alias(-1)), + dict(name='selected_sum_inverse', scope='owner_sweep', events=inverse(sum_t)), + dict(name='source_prepare_inverse', scope='owner_sweep', events=inverse(prepare)), + dict(name='selected_error_correction', scope='owner_sweep', events=selected), + ] + word = [event for part in parts for event in part['events']] + + def stream_check(blocks): + private_bodies = 0 + for part in blocks: + events = part['events'] + if part['scope'] == 'family_sweep': + m.need(all(e['op'] == 'map' and e['field'] != 'C' for e in events), + 'A cover sweep needs a real family') + continue + m.need(part['scope'] == 'owner_sweep', 'Known stream scope') + m.need(all(e['op'] != 'map' for e in events), 'No cover map inside an owner sweep') + private = False + last_clear = None + for event in events: + op = event['op'] + if op == 'private_begin': + m.need(not private, 'Nested private owner body') + private = True + last_clear = None + private_bodies += 1 + elif op == 'private_end': + m.need(private and last_clear == 'identity', 'C leaves its owner at zero') + private = False + elif 'C' in (event.get('field'), event.get('src'), event.get('dst')): + m.need(private, 'Private C is local to the current owner') + if op == 'clear': + last_clear = event['frame'] + else: + last_clear = None + m.need(not private, 'No private value crosses an owner boundary') + return private_bodies + + m.need(stream_check(parts) == 2, 'Two complete private owner sweeps') + m.need(not any(e['op'] in ('line', 'stage') for e in word), 'No new native child') + m.need(not any(e.get(key, '').startswith('Y0:') and int(e[key].split(':')[1]) not in A + for e in word for key in ('field', 'dst', 'src')), 'No off-selected Y0 access') + m.need(not any(e.get(key, '').startswith('Y1:') and int(e[key].split(':')[1]) not in V + for e in word for key in ('field', 'dst', 'src')), 'No hole-frame Y1 access') + + def apply(matrix, bank): + output = {} + for p, row in enumerate(matrix): + value = {} + for q, coefficient in row.items(): + value = m.rowadd(value, m.route(bank[q], (2, q)), coefficient) + output[p] = m.route(value, (2, p)) + return output + + x, y = m.unit_bank('x:'), m.unit_bank('y:') + c, beta = m.unit_bank('c:'), m.unit_bank('beta:') + h = {p: {(f'h:{p}', ()): Q(1)} for p in A} + error = {p: {} for p in range(112)} + error.update({p: m.rowscale(h[p], -1) for p in A}) + error.update(m.inject(m.query(h, A, R, 0), T, R, 0)) + local_x = {p: c[p] if p in V else m.rowadd(x[p], c[p]) for p in range(112)} + local_y = {p: beta[p] if p in V else y[p] for p in range(112)} + first, second = apply(H, local_x), apply(TB, local_y) + local_output = {p: m.rowadd(first[p], second[p]) for p in range(112)} + _, old_target = m.forward(x, y, R, A, T, U) + debt = m.inject(m.query(old_target, off_a, R, 2), A, R, 2) + initial = {f'X0:{p}': local_x[p] for p in range(112)} + initial.update({f'Y0:{p}': local_output[p] for p in range(112)}) + initial.update({f'X1:{p}': m.rowadd(x[p], error[p]) if p in V else c[p] + for p in range(112)}) + initial.update({f'Y1:{p}': m.rowadd(y[p], error[p], -1) if p in V + else m.rowadd(beta[p], y[p], -1) for p in range(112)}) + initial.update({f'R{p}': m.rowadd(h[p], debt[p]) for p in A}) + initial['C'] = {('private:', ()): Q(1)} + full = tuple((v, 1) for v in m.AXES[:25]) + frames = {field: full for field in initial} + for p in range(112): + if p not in A: + frames[f'Y0:{p}'] += ((routes[1, p]['q'], -1),) + if p in U: + frames[f'Y1:{p}'] += ((routes[1, p]['q'], -1),) + frames['C'] = () + expected = deepcopy(initial) + for p in V: + expected[f'X1:{p}'], expected[f'Y1:{p}'] = x[p], y[p] + for p in A: + expected[f'R{p}'] = h[p] + expected['C'] = {} + + def run(blocks): + stream_check(blocks) + rows, state = deepcopy(initial), deepcopy(frames) + for part in blocks: + m.execute(part['events'], rows, state, routes, set(), stage=1) + m.need(rows == expected, 'All 448 data, eight donor and one owned input columns') + m.need(all(m.phase(state[f]) == m.phase(frames[f]) for f in frames), 'Every output frame returns') + return rows + + output = run(parts) + controls = {} + for name in ('query_subtraction', 'selected_sum_prepare', 'source_alias', + 'routed_response', 'selected_error_correction'): + try: + run([part for part in parts if part['name'] != name]) + except ValueError as error: + controls[name] = str(error) + else: + raise ValueError('Ineffective cleanup control ' + name) + bad = deepcopy(parts) + bad[3]['events'].insert(2, view('C', U[0])) + try: + stream_check(bad) + except ValueError as error: + controls['cover_map_of_private_C'] = str(error) + else: + raise ValueError('Private cover-map control') + bad = deepcopy(parts) + bad[3]['events'].pop(-2) + try: + stream_check(bad) + except ValueError as error: + controls['C_survives_owner'] = str(error) + else: + raise ValueError('Private lifetime control') + + bill = m.scalar_price(word) + m.need(bill['scalar'] == 25124 and bill['cover_maps'] == 240 and bill['native_mass'] == 0, + 'Exact complete local invoice') + payload = m.encoded(dict(parts=parts, word=word, + source_pins={str(path.relative_to(LANES)): digest for path, digest in PINS.items()})) + b'\n' + receipt = dict( + status='PASS_OWNER_LOCAL_MASKED_CLEANUP_457_COLUMNS', word_sha256=sha256(payload).hexdigest(), + invoice=bill, part_invoices={part['name']: m.scalar_price(part['events']) for part in parts}, + independent_data_columns=448, arbitrary_donor_columns=8, owned_private_columns=1, + all_output_rows_sha256=sha256(m.encoded({f: [[s, list(w), str(c)] for (s, w), c in sorted(row.items())] + for f, row in sorted(output.items())})).hexdigest(), + off_selected_Y0_reads=0, hole_frame_Y1_reads=0, private_cover_maps=0, + private_owner_sweeps=2, peak_owned_scratch=1, negative_controls=controls, + scope='Local complete-cut access. Each family sweep is complete before the next owner sweep. ' + 'Every private value is cleared within its owner. Changed F2 owner admission, later target-code ' + 'retirement, primitive precision, recursive hosting and the complete supplier remain open.') + args.out.mkdir(parents=True, exist_ok=True) + (args.out / 'STREAM-CLEANUP-WORD.json').write_bytes(payload) + (args.out / 'STREAM-CLEANUP.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n') + print(receipt['status']) + print(json.dumps(bill, sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY-PROGRAM.json.gz b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY-PROGRAM.json.gz new file mode 100644 index 0000000000..8deda2b322 Binary files /dev/null and b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY-PROGRAM.json.gz differ diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY.json new file mode 100644 index 0000000000..03fee31977 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY.json @@ -0,0 +1,32 @@ +{ + "all_input_columns": 712, + "cleared_owned_fields": 8, + "controls": { + "incomplete_section": true, + "mask_after_T": true, + "mask_omitted": true, + "mask_sign_reversed": true, + "unmasked_source_suffix": true + }, + "costs": { + "added_native_wrappers": 16, + "added_rank_one_children": 8, + "complete_scalar": 213466, + "mask_prefix": 640, + "native_mass": 5530, + "new_fields": 0, + "new_mask_private_use": 0, + "retained_core": 202138, + "retained_unit_prefix": 7296, + "selected_masked_source_correction": 3392 + }, + "mask_events": 64, + "payload_sha256": "42a9d4bab68fe25f5592a4105b0b7cefa289187165f1d3dd0db6540afca98263", + "program_events": 26587, + "query": "L_A Y_out = R_U(X_U+Y_U)", + "restored_arbitrary_helpers": 480, + "scope": "Exact local native word. Target inverse is algebraic only; changed-code consumer, child hosting, streams and precision remain open.", + "source_payload_sha256": "9cb744034b11ef515a9c429264199a03f02fd9c4cb408e6455021ce9c0802a9c", + "status": "PASS_MASKED_CURRENT_SUM_QUERY_UNIT_712_COLUMNS", + "target_inverse": "Y = (T B)^-1(Y_out - H X_out)" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP-WORD.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP-WORD.json new file mode 100644 index 0000000000..23150db9a8 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP-WORD.json @@ -0,0 +1 @@ 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diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP.json new file mode 100644 index 0000000000..f020c3c7d7 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/masked-query/stream-cleanup/STREAM-CLEANUP.json @@ -0,0 +1,158 @@ +{ + "all_output_rows_sha256": "f1c857a47139103dae073f40f5a53ea798deb1852a0b8357ff87becfd8bf837e", + "arbitrary_donor_columns": 8, + "hole_frame_Y1_reads": 0, + "independent_data_columns": 448, + "invoice": { + "cover_maps": 240, + "events": { + "add": 2584, + "clear": 18, + "map": 240, + "private_begin": 2, + "private_end": 2, + "scale": 32 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 25124 + }, + "negative_controls": { + "C_survives_owner": "C leaves its owner at zero", + "cover_map_of_private_C": "No cover map inside an owner sweep", + "query_subtraction": "All 448 data, eight donor and one owned input columns", + "routed_response": "All 448 data, eight donor and one owned input columns", + "selected_error_correction": "All 448 data, eight donor and one owned input columns", + "selected_sum_prepare": "All 448 data, eight donor and one owned input columns", + "source_alias": "All 448 data, eight donor and one owned input columns" + }, + "off_selected_Y0_reads": 0, + "owned_private_columns": 1, + "part_invoices": { + "query_subtraction": { + "cover_maps": 0, + "events": { + "add": 8 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 64 + }, + "routed_response": { + "cover_maps": 0, + "events": { + "add": 448 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 4480 + }, + "selected_error_correction": { + "cover_maps": 0, + "events": { + "add": 80 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 768 + }, + "selected_sum_inverse": { + "cover_maps": 0, + "events": { + "add": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 128 + }, + "selected_sum_prepare": { + "cover_maps": 0, + "events": { + "add": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 128 + }, + "source_alias": { + "cover_maps": 0, + "events": { + "add": 864, + "clear": 9, + "private_begin": 1, + "private_end": 1 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 8594 + }, + "source_alias_inverse": { + "cover_maps": 0, + "events": { + "add": 864, + "clear": 9, + "private_begin": 1, + "private_end": 1 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 8594 + }, + "source_gather": { + "cover_maps": 120, + "events": { + "map": 120 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 0 + }, + "source_prepare": { + "cover_maps": 0, + "events": { + "add": 144, + "scale": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 1184 + }, + "source_prepare_inverse": { + "cover_maps": 0, + "events": { + "add": 144, + "scale": 16 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 1184 + }, + "source_return": { + "cover_maps": 120, + "events": { + "map": 120 + }, + "native_mass": 0, + "native_profile": {}, + "native_wrappers": 0, + "scalar": 0 + } + }, + "peak_owned_scratch": 1, + "private_cover_maps": 0, + "private_owner_sweeps": 2, + "scope": "Local complete-cut access. Each family sweep is complete before the next owner sweep. Every private value is cleared within its owner. Changed F2 owner admission, later target-code retirement, primitive precision, recursive hosting and the complete supplier remain open.", + "status": "PASS_OWNER_LOCAL_MASKED_CLEANUP_457_COLUMNS", + "word_sha256": "e40f0ba1b06f165e805213213db7dd2936fb180aa8a304fcca9d061bdcf52fde" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS-PROGRAMS.json.gz b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS-PROGRAMS.json.gz new file mode 100644 index 0000000000..14fb0ef44a Binary files /dev/null and b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS-PROGRAMS.json.gz differ diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json new file mode 100644 index 0000000000..9f6cfe37ea --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json @@ -0,0 +1,136 @@ +{ + "arbitrary_cache_inputs": 8, + "arbitrary_helpers_restored": 480, + "baseline_failure_witness": { + "cache": 0, + "input_Y_port": 2, + "residual": "-1/2" + }, + "capture": { + "ADDs": 424, + "real_primitives": 4224 + }, + "captured_logger_native_profile": { + "1": 2428, + "2": 418, + "3": 432, + "4": 142, + "5": 82 + }, + "captured_logger_scalar_bound": 232390, + "exact_73_axis_frame_identities": 144, + "excluded_claims": [ + "Source G restoration", + "Full global data controller", + "Owner admission or final live-row count", + "Full recursive cost or precision invoice", + "A change in kappa" + ], + "four_window_scalar_overhead_per_replica": 17152, + "local_hole_eigenvalues": 4096, + "local_input_columns": 712, + "native_scope": "New hole and owner phases are exact. Retained local child kernels and their endpoint adapters are inherited from the pinned words.", + "owner_count_per_replica": 8, + "owner_profile_per_field": { + "8": 8, + "9": 1 + }, + "paid_rank_per_owner": 73, + "payload_sha256": "677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d", + "productive_rank_per_independent_owner": 73, + "replicas": 16, + "source_base": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "source_pins": { + "R": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "algebra": "a397a9fe8cd9933106aab2f01edee0e16b54cc1c1cede78b6dac90844d5fdbcf", + "borrowed": "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + "logger": "ac824c98819dc1defef14788bf5215f72323f49a49f1f8bec4ee373558eba82e", + "research/community-frontier1042-audit/selected-replay.tar.gz": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "research/complex-t16-rare-pattern-exchanges/data/PLAN.json": "7bd786ba8e66408f02aa9ef446eaf20c1bfe981ea2e4dd1e5a929f0aa7767bc0", + "t16/global/base/split-centres/GLOBAL-TEMPLATE.json.gz": "a179dad87651aba340a5a8ddbcd86a8e757cad87b8a1f8bad48106fbecd38518", + "t16/global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "word": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + }, + "status": "PASS_CARRIED_QUERY_ALIAS", + "unload": { + "ADDs": 8, + "real_primitives": 64 + }, + "windows": [ + { + "backward_stage": 1, + "forward_stage": 2, + "intervening_events": [ + { + "child_indices": [ + 0, + 2 + ], + "from_level": -1, + "kind": "idle_cover_sweep", + "pair": 1, + "to_level": 1 + }, + { + "coefficient": 1, + "dst": 0, + "kind": "bridge", + "src": 1 + } + ], + "pair": 0 + }, + { + "backward_stage": 3, + "forward_stage": 4, + "intervening_events": [ + { + "child_indices": [ + 4, + 6 + ], + "from_level": -1, + "kind": "idle_cover_sweep", + "pair": 2, + "to_level": 3 + }, + { + "coefficient": 1, + "dst": 1, + "kind": "bridge", + "src": 2 + } + ], + "pair": 1 + }, + { + "backward_stage": 5, + "forward_stage": 6, + "intervening_events": [ + { + "child_indices": [ + 8, + 10 + ], + "from_level": -1, + "kind": "idle_cover_sweep", + "pair": 3, + "to_level": 5 + }, + { + "coefficient": 1, + "dst": 2, + "kind": "bridge", + "src": 3 + } + ], + "pair": 2 + }, + { + "backward_stage": 7, + "forward_stage": 8, + "intervening_events": [], + "pair": 3 + } + ] +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.md new file mode 100644 index 0000000000..fbb5200fe0 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.md @@ -0,0 +1,271 @@ +# A carried query with an exact selected-port alias + +The input full-query logger admits a persistent borrowed cache on the +four actual backward-to-forward windows. The cache can retain an +arbitrary independent input. It follows the native frame of one +selected Y port and is cleared of its query term at the next forward +entrance. This uses eight cache fields per replica, reused in all four +windows. Their complete native history has eight rank-eight children +and one rank-nine child per field. It maps each independent input h to +F73 h. + +This is a native transport and cache-restoration theorem. It does not +restore the source code left by the logger. It does not provide a clean +query: while a query is present, the cache contains h plus that query. +The theorem does not admit a complete supplier or change kappa. + +The [checker](verify_carried_query_alias.py), +[literal payload](CARRIED-QUERY-ALIAS-PROGRAMS.json.gz), and +[receipt](CARRIED-QUERY-ALIAS.json) pin the actual local word, logger, +source matrix, selected plan, global schedule, and phase recipes. +The payload has SHA256 +`677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d` +after decompression. + +## Local content contract + +Use the actual matrix R and the log ports + +```text +T = [21, 37, 47, 76, 81, 87, 92, 110]. +``` + +Put Q_T=R_T^-1 R. This symbol denotes the normalized centre read, not +the diagonal native line operator. The actual minor has +R_T R_T^T=4I, so the inverse is dyadic. The all-eight-C-preserving +input logger from the circuit-interface lane has the exact map + +\[ + (x,y,h,c)\longmapsto(x-Jy,Gy,h,c), + \qquad \pi_TG=Q_T. +\tag{1} +\] + +Here h comprises the 480 arbitrary helper values and c comprises all +eight arbitrary C values. The local C endpoints are I to I. Every Y +input also has local frame I. Thus the prefix + +\[ + c\leftarrow c+Q_Ty +\tag{2} +\] + +is a legal same-frame scalar word on arbitrary inputs. It uses no +CLEAR, COPY, or clean-state assumption. After (1), the selected source +output and the cache have contents + +\[ + y'_{T_k}=(Q_Ty)_k, + \qquad c'_k=c_k+(Q_Ty)_k. +\tag{3} +\] + +The existing optional cache in the input-source payload adds R y. +Equation (2) is a different literal prefix. The checker emits and +replays it separately. It does not infer selected-port access from an +unnormalized centre vector after the port routes have separated. + +## The actual native frames + +Let L be the original nine-coordinate space. Let E_s be the fresh +eight-coordinate block of stage s, for 1<=s<=8. Set + +\[ + U_s=L\oplus E_1\oplus\cdots\oplus E_s, + \qquad V_s=E_1\oplus\cdots\oplus E_s. +\] + +For a selected port label p, the actual orthogonal chart rho_s(p) +fixes p and swaps its fixed orthonormal complement basis B_p in L +with the unit basis of E_s. The stage-zero chart is I. A local +invocation at cover class d uses the data family at d rho_s(p), with +the original orthogonal address gather. Cover reindexing alone is not +the complete gather operation. + +Allocate an independent owner field for each C_k. Give that field +the same port route, address gather, and entry and exit translations +as Y_{T_k}. The local C register is an alias of this owner field for +the duration of the invocation. It is not a new zero workspace field. +The eight owners are distinct from all data and helper owners. + +After the Y entry adapter at stage s, its native frame is F_{V_s}; +the local source factor is I. The cache has the same frame by the +history below. The complete borrowed local word leaves its local +I factor unchanged. After that word, apply + +\[ + H_p=F_L C_p^{-1} +\tag{4} +\] + +to C at stages zero through seven, and then apply the actual Y exit +translation. Thus C receives exactly the native output map of Y, +although the local word did not give it that map. + +Equation (4) is an exact rank-eight child with a literal translation. +If (p,B_p) is the selected orthonormal basis and + +\[ + \eta_p=\sum_{b\in\{p\}\cup B_p} + \frac{\operatorname{wt}(b)-1}{2}b, +\] + +where the sum is binary, then + +\[ + F_L C_p^{-1}=X_{\eta_p}\prod_{b\in B_p}C_b. +\tag{5} +\] + +More generally, eta_p is the unique translation whose Fourier sign +is the difference between the two displayed orthonormal-basis phase +polynomials. The payload records that translation directly from the +exact phase polynomials. The child uses the orthogonal chart whose +columns are B_p followed by p. Equation (5) holds with scalar phase +one; the checker compares all 512 Fourier eigenvalues for each of the +eight selected labels. + +For every stage s<8, this gives the owner-frame output +F_{U_s} C_p^-1, with all global phase terms included. At stage eight, +apply F_L instead of (4). This folds the final missing positive C_p +into the last child. The last child has rank nine. Its output is +F_{U_8}=F73 in the owner cover chart. + +The checker derives every cache entrance and exit from the actual +DATA-PHASES entry_Y and exit_Y translations. It checks the full +73-variable quadratic phase, not only its binary symplectic map. +There are 144 such identities. The first eight stages use rank eight; +the last uses rank nine. Thus the complete native rank per owner is + +\[ + 8\cdot8+9=73. +\tag{6} +\] + +For a general orthogonal cover matrix g, conjugation can change the +full F73 by a translation. The same final correction used by the +selected supplier is required on every new owner: +delta_i=(weight(row_i(g))-1)/2 modulo two. This correction is not +omitted from the contract. It has native rank zero but still has +address and scalar-control cost. + +## Four exact alias windows + +The pinned global schedule gives the following windows. + +| Capture | Erase | Active pair | Intervening effect on active Y | +| --- | --- | --- | --- | +| B1 | F2 | 0 | None | +| B3 | F4 | 1 | None | +| B5 | F6 | 2 | None | +| B7 | F8 | 3 | None | + +For each of the first three windows, the intervening bridge has the +active pair as its destination. It updates that pair's X and the +next pair's Y. It leaves the active Y unchanged. The intervening idle +advance acts on the next pair. There is no intervening bridge in the +last window. + +Capture (2) before the complete B prelude. Run the logger (1), the +cache child (4), and the actual exit adapter. By (3), the query part +of C and the selected Y output now have identical physical native +maps and contents. Advance both to the next local entrance with +their same port route and address gather. At that entrance, before +the complete F prelude, perform + +\[ + C_k\leftarrow C_k-Y_{T_k}. +\tag{7} +\] + +This removes the query term and retains exactly the transported +independent cache input. The following borrowed forward word +preserves it. The same eight owners can therefore be reused at B3, +B5, and B7. + +The cover equation is explicit. If the later invocation is d, the +earlier invocation that used the same physical selected field is + +\[ + d_{\rm old}=d\,\rho_{s+1}(p)\rho_s(p). +\tag{8} +\] + +The two owner classes in (8) are equal after the last rho factor is +applied. Their address gathers and phase adapters are also equal to +the selected Y history, by the frame identities above. No constant +cover input, cover-invariant query, or equal-port-route assumption is +used. The eight carried rows are port-routed query values. They are +not a common-cover centre vector after the transition. + +The restoration is valid even when the current source data already +contains earlier source encodings. Equation (3) is an identity on +all source inputs. It does not require an untouched original y. + +## Scope of the carried information + +If (2) instead captures the old selected baseline y_T, equation (7) +leaves + +\[ + c-R_T^{-1}(R-L_T)y,\qquad L_T=R_T\pi_T, +\tag{9} +\] + +with the same port pullback. This is generally nonzero. The receipt +contains an exact single-input witness. Carrying the old selected +baseline is therefore not a substitute for the query in this proof. + +The theorem also does not convert a dirty query into a clean one. +An operation that uses C while the query is present must account for +the independent old c. Any such use must leave the stated alias +available for (7), or provide a separate restoration proof. + +The later joint source-query exchanges under investigation have a +different contract. If they move old c into the source data, the +native history here still transports their C output. Their full +source-held baseline restoration does not follow from (7). + +## Cost and verification + +The normalized prefix has eight unit ADDs and 416 half-coefficient +ADDs: 424 ADD macros and 4,224 real primitives. Equation (7) has eight +unit ADDs and costs 64 real primitives. The four windows add 17,152 +real primitives per replica, before address control, precision, and +native child execution. The captured complete backward word has +scalar bound 232,390 and the inherited native mass 5,538. The new +cache-native history is additional to that local mass. + +Eight independent owner fields per replica receive the 73-rank +history (6). Its paid rank is 584 per replica, equal to their 584 +productive rank if those independent owners are admitted. A dependent +query value is not a productive input. The selected private C slots +are not already eight arbitrary owner rows. Owner allocation and the +full recursive layout require a separate admission check. + +Run from the workspace root: + +```text +python3 -I -B work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/verify_carried_query_alias.py +``` + +Expected first line: + +```text +PASS_CARRIED_QUERY_ALIAS +``` + +The checker replays the captured backward word on all 712 input +columns, including every arbitrary helper and C value. It checks +the following complete forward word under the exact alias relation, +all local scalar-frame accesses, all four actual schedule windows, +4,096 local hole eigenvalues, and 144 full native frame identities. +The original local child kernels are pinned dependencies; this +checker does not repeat their independent kernel replay. + +The input source logger, dyadic section, and arbitrary-C local word +come from the coordinating, history-encoding, and circuit-interface +lanes. The source routes and phase corrections come from the reviewed +selected supplier. The residual-syndrome lane supplied the persistent +selected-port alias contract. OpenAI Codex supplied research and +verification assistance under the user's direction. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json new file mode 100644 index 0000000000..845e70d4e7 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/eight-record-review-20261015/DELAYED-CLEANUP-ONE-C-WORD.json @@ -0,0 +1 @@ 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diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json new file mode 100644 index 0000000000..739746e48e --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.json @@ -0,0 +1,90 @@ +{ + "all_tensor_sizes": "Exact base identities have scalar phase one. Tensor them with the same translations and address gathers; use each scalar coefficient once.", + "arbitrary_cache_inputs": 8, + "arbitrary_helper_outputs": 480, + "baseline_capture_counterexample": { + "cache": 0, + "input_Y_port": 2, + "residual": "-1/2" + }, + "capture_ADDs": 424, + "capture_real_primitives": 4224, + "captured_backward": { + "native_mass": 5538, + "native_profile": { + "1": 2428, + "2": 418, + "3": 432, + "4": 142, + "5": 82 + }, + "real_primitives": 232390, + "scalar_operations": { + "add": 22010, + "scale": 707 + } + }, + "complete_712_column_replays": [ + "captured_backward_word", + "following_forward_word" + ], + "credit_scope": "Rank 584 per replica is paid. Productive rank 584 requires eight admitted independent owners and their full F73 outputs; this review does not admit their allocation.", + "excluded": [ + "Clean query access", + "Restoration of source G", + "A complete global data controller", + "Final owner allocation", + "Address and scalar-control invoice", + "Full recursive or precision invoice", + "Kappa improvement" + ], + "following_forward": { + "native_mass": 5522, + "native_profile": { + "1": 2412, + "2": 418, + "3": 432, + "4": 142, + "5": 82 + }, + "real_primitives": 207670, + "scalar_operations": { + "add": 19954, + "scale": 707 + } + }, + "four_window_real_primitives_per_replica": 17152, + "global_calls_checked": 144, + "global_phase_identities": 144, + "global_phase_value_comparisons": 389088, + "hole_eigenvalues_checked": 4096, + "native_scope": "Exact new hole and owner phase identities. Retained local child kernels, local endpoint adapters, and native input-line premises are inherited; no broad kernel replay.", + "omitted_local_translation_counterexamples": 2048, + "paid_rank_per_owner": 73, + "pins": { + "R": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "borrowed": "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + "logger": "ac824c98819dc1defef14788bf5215f72323f49a49f1f8bec4ee373558eba82e", + "native_review": "ebf14b2eccffc0b3a2f03858a84c72792d27d7dd4a177f0b02609921f6258144", + "note": "0a1c3319c2d0ffba4cb70f1a5aca35c2d62072a2380afeaad0c301e29b10e12f", + "payload": "677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d", + "producer": "eec25fa79fca117181b619fba9448bbfe0d358373ba00c1ccdc3daceebfa1623", + "producer_receipt": "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2", + "research/community-frontier1042-audit/selected-replay.tar.gz": "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + "research/complex-t16-rare-pattern-exchanges/data/PLAN.json": "7bd786ba8e66408f02aa9ef446eaf20c1bfe981ea2e4dd1e5a929f0aa7767bc0", + "t16/global/base/split-centres/GLOBAL-TEMPLATE.json.gz": "a179dad87651aba340a5a8ddbcd86a8e757cad87b8a1f8bad48106fbecd38518", + "t16/global/base/work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "word": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219" + }, + "points_per_identity": 2702, + "profile_per_independent_owner": { + "8": 8, + "9": 1 + }, + "signed_input_line_recipes_checked_by_address_algebra": 16, + "source_base": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "status": "PASS_INDEPENDENT_CARRIED_QUERY_ALIAS", + "unload_ADDs": 8, + "unload_real_primitives": 64, + "windows_checked": 4 +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.md new file mode 100644 index 0000000000..6fbd8f99d1 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/REVIEW.md @@ -0,0 +1,200 @@ +# Independent review of the carried-query alias + +The stated cache transport and restoration theorem passes this review. +No material error was found in the reviewed note or payload. The theorem +does not restore the source code, supply clean query access, or admit a +complete supplier. Productive-owner credit remains conditional. + +The review used a separate checker. It did not import or run the producer +checker, its algebra module, or a native compiler. The checker reads the +pinned local words, source matrix, selected plan, global template, and +phase table. It writes [REVIEW.json](REVIEW.json). The exact source hashes +are in that receipt. The reviewed payload has decompressed SHA256 +`677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d`. +The reviewed note has SHA256 +`0a1c3319c2d0ffba4cb70f1a5aca35c2d62072a2380afeaad0c301e29b10e12f`. + +## Local maps and arbitrary input + +The checker constructs K=R^T/4, J=I-KR, Z=K-13P_A, L_T=R_T pi_T, +and G=I+Z(R-L_T) directly from the pinned R. It verifies both inverse +orders for R_T^-1 and the exact identity pi_T G=R_T^-1 R. + +Both complete words were replayed on all 712 independent input columns. +For the captured backward word, the exact output is + +\[ + (x-Jy,\;Gy,\;h,\;c+R_T^{-1}Ry). +\] + +For the following forward word, initialize only the alias relation +C_k=c_k+y_{T_k}. The exact output is + +\[ + (x,\;y+Jx,\;h,\;c). +\] + +These are full matrix equalities. All 480 helper inputs and all eight +cache inputs are independent. No CLEAR or COPY occurs. Every scalar +operation has a valid common frame, and every retained native transition +has the stated input and output frame. The local C endpoints are I to I. + +The capture contains eight unit ADDs and 416 half-coefficient ADDs. +Its cost is 4,224 real primitives. The unload contains eight unit ADDs +and costs 64. Four windows therefore add 17,152 real primitives per +replica in the stated local scalar convention. The captured backward +word has scalar cost 232,390 and native mass 5,538. The following +forward word, including unload, has scalar cost 207,670 and native +mass 5,522. These totals do not include the new cache-native history, +address control, or a full precision and recursive invoice. + +The 16 signed input-line recipes were checked by address algebra. +Their two linear address maps are inverses, the first forward axis is +q, and all phase polynomials and scalar phases are zero. The inverse +sign adds exactly the left translation q. Thus the positive recipe +is C_q, and the inverse recipe is X_q C_q=C_q^-1, with no scalar +phase. The physical input-frame premise is inherited from the pinned +`INPUT-COMPENSATION-NATIVE-REVIEW.json`. The retained local child +kernels and local endpoint adapters were not replayed again. + +## Exact native history + +The review obtains each complement basis B_p from the first eight +axes of the pinned DATA-PHASES idle child. It does not use the +producer's basis function. It verifies that (p,B_p) is orthonormal +and that the emitted child chart is (B_p,p). + +For a stage s>0, the route is the product of eight commuting binary +transvections with vectors b_k+e_{s,k}. Each factor swaps b_k with +the fresh unit e_{s,k}. This gives a separate implementation of the +route in the review checker. + +The displayed closed formula for eta_p agrees with the payload. +All 512 Fourier eigenvalues of + +\[ + F_LC_p^{-1}=X_{\eta_p}\prod_{b\in B_p}C_b +\] + +were compared for each of the eight selected ports. All 4,096 checks +pass, including the eigenvalue at zero. Omitting the translation +fails 2,048 of those checks. The native child has rank eight because +its eight axes are orthonormal. At the last stage the local child is +F_L and has rank nine. + +The stage identities were checked by a different phase method from +the producer. A parity function has degree at most two over Z4; +terms of degree at least three have coefficient divisible by four. +Thus a sum of these phases is fixed by its values at zero, every +unit vector, and every sum of two distinct units. There are 2,702 +such vectors in 73 coordinates. The checker evaluates the inherited +entry and exit translations directly on all these vectors. All +389,088 comparisons pass. They establish 144 complete phase +identities, including their scalar phases. + +At every entrance the cache frame is F_{V_s}, which is the actual +Y entrance frame. At every exit before the last stage it is +F_{U_s} C_p^-1. At the last exit it is F73. The complete paid +profile of one owner is eight rank-eight children and one rank-nine +child, with total rank 73. + +For an orthogonal cover g, the Fourier phase of its conjugated full +transform is wt(g^T z). Orthogonality makes the quadratic part of +wt(g^T z)-wt(z) zero modulo four. The coefficient of z_i is +wt(row_i(g))-1. Each row has odd weight. The difference is therefore +2 delta dot z, where delta_i=(wt(row_i(g))-1)/2 modulo two. +The stated final translation is necessary and sufficient. It has +scalar phase one. Its address and control cost still needs an invoice. + +## Actual windows and physical access + +The checker reads all 144 calls in the pinned global template. It +checks their replica, stage, orientation, active pair, selected Y +owner families, route tokens, and local and exterior coordinate +windows. It also checks the orientations of all 144 selected plan +calls. The four windows are exactly B1 to F2, B3 to F4, B5 to F6, +and B7 to F8. + +In the first three windows the idle advance acts on the next pair. +The inherited bridge has the active pair as destination and the next +pair as source. Its scalar operations are X_dst += X_src and +Y_src -= Y_dst. Thus it does not alter the active Y field. The last +window has no intervening event. This review uses that inherited +bridge interface; it does not reimplement the complete supplier. + +For a fixed selected port, right multiplication by rho_s permutes +the cover group. Hence one complete cover sweep touches each new +owner field exactly once. If the later invocation is d, the earlier +invocation of the same physical owner is + +\[ + d_{\rm old}=d\rho_{s+1}\rho_s, + \qquad d_{\rm old}\rho_s=d\rho_{s+1}. +\] + +The review checks the route involutions on every address unit. This +cover equation identifies the physical owner. It does not replace +the address gather. The theorem separately requires the cache and +selected Y to use the same address gather and phase adapters. + +At capture, the query term in C and the selected Y output are equal +as local arrays. They then receive the same native maps, translations, +and address gathers. Their physical arrays remain equal. No event +in the window changes the active Y. Subtraction at the next entrance +therefore cancels the query term for every cover and every address. +The independent old cache value receives only its prescribed native +history. No cover-constant input assumption is needed. + +This reasoning concerns each selected port separately. It does not +identify the eight routed values with a common-cover centre vector. +The cache fields can be reused after each unload even when the +current source already contains earlier source codes, since the local +identity holds for every source input. + +Capturing the old y_T is not sufficient. With input Y_2=1 and all +other source coordinates zero, cache row zero has residual -1/2 +after the proposed unload. The independent checker reproduces this +exact witness. + +## Tensor extension and scope + +The new native identities have exact scalar phase one. Apply their +tensor powers to the lambda address factors, together with the same +translations and gathers on each factor. No additional scalar phase +appears. The scalar matrices R, J, G, and Q_T act on field indices; +their rational coefficients are used once. They are tensored with +the identity on the address space, not raised to tensor powers on +the field indices. The inherited all-size local-frame contract then +extends both local replay identities and the alias proof to every +permitted lambda. + +Eight new independent owners have paid rank 584 per replica. If +those owners and their complete F73 outputs are admitted, their +productive rank is also 584. The existing private C slots do not +provide this credit. The theorem still needs a full owner allocation, +all address and scalar-control costs, recursive hosting, and a +precision invoice before use in a complete supplier. + +The cache contains an independent old value plus the query. This +review does not establish clean query access, useful operations on +that dirty query, restoration of G, or restoration for another +source-query exchange that changes the alias. No kappa improvement +is inferred. + +Run from the workspace root: + +```text +python3 -I -B work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/verify_alias_review.py +``` + +The observed output was: + +```text +PASS_INDEPENDENT_CARRIED_QUERY_ALIAS +all712=2 phase_identities=144 phase_values=389088 hole_eigenvalues=4096 +capture=4224 unload=64 windows=4 owner_rank=73 +``` + +The final run took about 1.82 seconds on one CPU. It created only a +small receipt. No commits, PR changes, or broad native kernel runs +were made. This review used OpenAI Codex under the user's direction. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/verify_alias_review.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/verify_alias_review.py new file mode 100644 index 0000000000..67be3aa229 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/graph-cache/carried-alias/verify_alias_review.py @@ -0,0 +1,355 @@ +"""Check the carried alias without importing a producer or native compiler.""" + +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from itertools import combinations +from pathlib import Path +import gzip +import io +import json +import subprocess +import tarfile + + +HERE = Path(__file__).resolve().parent +PHYSICAL = HERE.parents[2] +LANES = PHYSICAL.parents[1] +ROOT = LANES.parents[2] +MODULE = LANES / "circuit-interface/borrowed-centres" +BASE = "bce54fb3f895cbe5cd4c0eb477c3afeed100190f" +ARCHIVE = "research/community-frontier1042-audit/selected-replay.tar.gz" +PHASES = "t16/global/base/work/complex-nine-native/DATA-PHASES.json" +TEMPLATE = "t16/global/base/split-centres/GLOBAL-TEMPLATE.json.gz" +PLAN = "research/complex-t16-rare-pattern-exchanges/data/PLAN.json" +PINS = { + "payload": "677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d", + "word": "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219", + "R": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "logger": "ac824c98819dc1defef14788bf5215f72323f49a49f1f8bec4ee373558eba82e", + "borrowed": "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + "native_review": "ebf14b2eccffc0b3a2f03858a84c72792d27d7dd4a177f0b02609921f6258144", + "note": "0a1c3319c2d0ffba4cb70f1a5aca35c2d62072a2380afeaad0c301e29b10e12f", + "producer": "eec25fa79fca117181b619fba9448bbfe0d358373ba00c1ccdc3daceebfa1623", + "producer_receipt": "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2", + ARCHIVE: "22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754", + PHASES: "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + TEMPLATE: "a179dad87651aba340a5a8ddbcd86a8e757cad87b8a1f8bad48106fbecd38518", + PLAN: "7bd786ba8e66408f02aa9ef446eaf20c1bfe981ea2e4dd1e5a929f0aa7767bc0", +} +T = [21, 37, 47, 76, 81, 87, 92, 110] +A = [0, 7, 20, 27, 36, 46, 57, 111] + + +def pinned(raw, key): + assert sha256(raw).hexdigest() == PINS[key], key + return raw + + +def read(path, key, compressed=False, file_pin=False): + raw = path.read_bytes() + if file_pin: + pinned(raw, key) + if compressed: + raw = gzip.decompress(raw) + if not file_pin: + pinned(raw, key) + return json.loads(raw) + + +def git_bytes(path): + return pinned(subprocess.check_output( + ["git", "show", BASE + ":" + path], + cwd=ROOT / "worktrees/k5-centre-sharing"), path) + + +def rational(rows): + return [{int(j): Q(v) for j, v in row.items()} for row in rows] + + +def add(a, b, coefficient): + result = a.copy() + for j, value in b.items(): + result[j] = result.get(j, 0) + coefficient * value + if not result[j]: + del result[j] + return result + + +def multiply(a, b): + out = [] + for row in a: + value = {} + for j, coefficient in row.items(): + value = add(value, b[j], coefficient) + out.append(value) + return out + + +def place(location): + bank, j = location + assert bank in ("L", "C") + assert 0 <= j < (704 if bank == "L" else 8) + return j if bank == "L" else 704 + j + + +def scalar_cost(gate): + assert gate[0] in ("add", "scale") + value = Q(*gate[2:]) if gate[0] == "scale" else Q(*gate[3:]) + a, b = abs(value.numerator), value.denominator + assert a and b & (b - 1) == 0 + if gate[0] == "scale": + assert a & (a - 1) == 0 + return 2 * (abs(a.bit_length() - b.bit_length()) + (value < 0)) + return 2 * (3 + a.bit_length() - 1 + a.bit_count() + b.bit_length() - 1) + + +def replay(events, initial, word): + rows = [row.copy() for row in initial] + frames = word["start"][:] + [0] * 8 + profile, operations = Counter(), Counter() + cost = 0 + for event in events: + kind = event[0] + if kind == "climb": + _, _, p, before, after, rank = event + assert frames[p] == before + frames[p] = after + profile[rank] += 1 + elif kind == "input_target_line": + _, p, label, sign, before, after, rank = event + assert p in A and label == word["ports"][p] and rank == 1 + assert frames[p] == before + assert (sign, before, after) in ((-1, word["start"][p], 0), (1, 0, word["start"][p])) + frames[p] = after + profile[1] += 1 + elif kind == "scalar": + gate, frame = event[1:] + target = place(gate[1]) + assert frames[target] == frame + assert gate[0] in ("add", "scale") + if gate[0] == "add": + source = place(gate[2]) + assert source != target and frames[source] == frame + rows[target] = add(rows[target], rows[source], Q(*gate[3:])) + else: + rows[target] = {j: Q(*gate[2:]) * q for j, q in rows[target].items()} + operations[gate[0]] += 1 + cost += scalar_cost(gate) + else: + assert kind in ("phase", "adapter", "residual_adapter") + assert frames == word["final"] + [0] * 8 + return rows, {"native_profile": dict(sorted(profile.items())), + "native_mass": sum(k * v for k, v in profile.items()), + "real_primitives": cost, "scalar_operations": dict(operations)} + + +def dot(a, b): + return (a & b).bit_count() % 2 + + +def route(z, stage, complement): + # Each even transvection swaps one pair of orthonormal axes. + if stage: + for k, b in enumerate(complement): + difference = b ^ (1 << (9 + 8 * (stage - 1) + k)) + if dot(z, difference): + z ^= difference + return z + + +def main(): + payload = read(PHYSICAL / "CARRIED-QUERY-ALIAS-PROGRAMS.json.gz", "payload", True) + pinned((PHYSICAL / "CARRIED-QUERY-ALIAS.md").read_bytes(), "note") + pinned((PHYSICAL / "verify_carried_query_alias.py").read_bytes(), "producer") + producer = read(PHYSICAL / "CARRIED-QUERY-ALIAS.json", "producer_receipt") + assert producer["payload_sha256"] == PINS["payload"] + word = read(ROOT / "work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz", "word", True, True) + r = rational(read(LANES / "circuit-interface/INTERFACE.json", "R")["R"]) + logger = read(MODULE / "INPUT-SOURCE-FAMILY-PROGRAMS.json.gz", "logger", True) + borrowed = read(MODULE / "BORROWED-CENTRES-PROGRAMS.json.gz", "borrowed", True)["programs"] + native = read(LANES / "interface-proof/INPUT-COMPENSATION-NATIVE-REVIEW.json", "native_review") + assert native["status"] == "PASS_ACTUAL_INPUT_COMPENSATION_NATIVE_PREMISE" + assert payload["T_ports"] == logger["T_ports"] == T + assert logger["A_ports"] == A + def address(matrix, x): + return sum(dot(row, x) << i for i, row in enumerate(matrix)) + line_recipes = logger["input_line_recipes"] + assert {(r["port"], r["sign"]) for r in line_recipes} == {(p, sign) for p in A for sign in (-1, 1)} + assert len(line_recipes) == 16 + for item in line_recipes: + recipe, label, sign = item["recipe"], item["label"], item["sign"] + assert label == word["ports"][item["port"]] and recipe["rank"] == 1 + left, right = recipe["left"], recipe["right"] + assert left["offset"] == (label if sign == -1 else 0) and right["offset"] == 0 + for side in (left, right): + assert side["phase"] == 0 and side["linear_Z4"] == side["quadratic_rows"] == [0] * 9 + assert address(left["matrix_rows"], 1) == label + for i in range(9): + assert address(left["matrix_rows"], address(right["matrix_rows"], 1 << i)) == 1 << i + assert address(right["matrix_rows"], address(left["matrix_rows"], 1 << i)) == 1 << i + identity = [{i: Q(1)} for i in range(712)] + k_matrix = [{k: row[p] / 4 for k, row in enumerate(r) if p in row} for p in range(112)] + rt = [{k: row[p] for k, p in enumerate(T) if p in row} for row in r] + rt_inverse = [k_matrix[p] for p in T] + assert multiply(rt_inverse, rt) == [{k: 1} for k in range(8)] + assert multiply(rt, rt_inverse) == [{k: 1} for k in range(8)] + query = multiply(rt_inverse, r) + assert query == rational(payload["query_rows"]) + assert Counter(abs(q) for row in query for q in row.values()) == {Q(1): 8, Q(1, 2): 416} + b0 = [add(row, {p: rt[k][j] for j, p in enumerate(T) if j in rt[k]}, -1) for k, row in enumerate(r)] + z = [{k: (-12 if p in A else 1) * q for k, q in row.items()} for p, row in enumerate(k_matrix)] + g = [add({p: Q(1)}, row, 1) for p, row in enumerate(multiply(z, b0))] + j_matrix = [add({p: Q(1)}, row, -1) for p, row in enumerate(multiply(k_matrix, r))] + assert [g[p] for p in T] == query + + capture = [["scalar", ["add", ["C", k], ["L", 112 + p], q.numerator, q.denominator], 0] + for k, row in enumerate(query) for p, q in sorted(row.items())] + unload = [["scalar", ["add", ["C", k], ["L", 112 + p], -1, 1], 0] for k, p in enumerate(T)] + assert payload["capture"] == capture and payload["unload"] == unload + assert payload["captured_backward_word"] == capture + logger["programs"]["logger"] + assert payload["following_forward_word"] == unload + borrowed["forward"] + after, backward_bill = replay(payload["captured_backward_word"], identity, word) + expected = [row.copy() for row in identity] + for p in range(112): + expected[p] = add(expected[p], {112 + j: value for j, value in j_matrix[p].items()}, -1) + expected[112 + p] = {112 + j: value for j, value in g[p].items()} + for k in range(8): + expected[704 + k] = add(expected[704 + k], {112 + p: value for p, value in query[k].items()}, 1) + assert after == expected + alias_input = [row.copy() for row in identity] + for k, p in enumerate(T): + alias_input[704 + k][112 + p] = 1 + after, forward_bill = replay(payload["following_forward_word"], alias_input, word) + expected = [row.copy() for row in identity] + for p in range(112): + expected[112 + p] = add(expected[112 + p], j_matrix[p], 1) + assert after == expected + assert backward_bill["native_profile"] == {1: 2428, 2: 418, 3: 432, 4: 142, 5: 82} + assert backward_bill["native_mass"] == 5538 and backward_bill["real_primitives"] == 232390 + assert sum(scalar_cost(e[1]) for e in capture) == 4224 + assert sum(scalar_cost(e[1]) for e in unload) == 64 + baseline = [add({p: Q(1)}, row, -1) for p, row in zip(T, query)] + assert baseline[0][2] == Q(-1, 2) + + with tarfile.open(fileobj=io.BytesIO(git_bytes(ARCHIVE)), mode="r:gz") as stream: + phase = json.loads(pinned(stream.extractfile(PHASES).read(), PHASES)) + template = json.loads(gzip.decompress(pinned(stream.extractfile(TEMPLATE).read(), TEMPLATE))) + plan = json.loads(git_bytes(PLAN)) + assert (plan["K"], plan["T"], plan["M"], plan["L"], plan["live"]) == (4, 16, 73, 9, 14336) + assert {(c["stage"], c["replica"]) for c in plan["provider_calls"]} == {(s, t) for s in range(9) for t in range(16)} + for c in plan["provider_calls"]: + assert c["orientation"] == ("backward" if c["stage"] % 2 else "forward") + calls = {(c["stage"], c["replica"]): c for c in template["calls"]} + assert len(calls) == 144 + for (stage, replica), c in calls.items(): + pair = max(0, (stage - 1) // 2) + assert c["pair"] == pair + assert c["orientation"] == ("backward" if stage % 2 else "forward") + assert c["window"] == {"local_axes": list(range(9)), "prefix_axes": list(range(9, 9 + 8 * stage))} + for p in T: + assert c["owners"][112 + p] == [replica * 896 + (2 * pair + 1) * 112 + p, [1, stage, p]] + schedule = template["execution_schedule"] + for window in payload["windows"]: + stage, pair = window["backward_stage"], window["pair"] + assert (stage, window["forward_stage"]) == (2 * pair + 1, 2 * pair + 2) + start = next(i for i, e in enumerate(schedule) if e.get("kind") == "local_cover_sweep" and e.get("stage") == stage) + end = next(i for i, e in enumerate(schedule) if e.get("kind") == "local_cover_sweep" and e.get("stage") == stage + 1) + between = schedule[start + 1:end] + assert between == window["intervening_events"] + if pair == 3: + assert between == [] + else: + idle, bridge = between + assert idle["kind"] == "idle_cover_sweep" and idle["pair"] == pair + 1 + assert bridge == {"kind": "bridge", "coefficient": 1, "dst": pair, "src": pair + 1} + assert payload["global_cover_correction"] == template["cover_final_correction"]["formula"] + + points = [0] + [1 << i for i in range(73)] + [(1 << i) | (1 << j) for i, j in combinations(range(73), 2)] + phase_checks, hole_checks, omitted_signs_rejected = 0, 0, 0 + for record, p in zip(payload["histories"], T): + label = word["ports"][p] + source = phase["recipes"][p] + assert source["port"] == p and source["q"] == label + # Read the chart from the pinned idle child, not the producer's chart function. + complement = source["idle_children"][0]["orthogonal_axes"][:8] + basis = [label] + complement + assert all(dot(a, b) == (i == j) for i, a in enumerate(basis) for j, b in enumerate(basis)) + assert record["hole_child_chart_columns"] == complement + [label] + eta = 0 + for b in basis: + if ((b.bit_count() - 1) // 2) % 2: + eta ^= b + assert eta == record["local_hole_translation"] + for z0 in range(512): + left = (z0.bit_count() - dot(z0, label)) % 4 + right = (sum(dot(z0, b) for b in complement) + 2 * dot(z0, eta)) % 4 + assert left == right + hole_checks += 1 + omitted_signs_rejected += left != sum(dot(z0, b) for b in complement) % 4 + assert len(record["history"]) == 9 + for stage, h in enumerate(record["history"]): + alignment = source["stage_alignment"][stage] + assert h["stage"] == stage and h["data_port"] == p and h["label"] == label + assert h["entry_translation_owner_coordinates"] == alignment["entry_Y"] + assert h["exit_translation_owner_coordinates"] == alignment["exit_Y"] + child_axes = [1 << i for i in range(9)] if stage == 8 else complement + child_sign = 0 if stage == 8 else eta + assert h["local_child_axes"] == child_axes and h["child_rank"] == len(child_axes) + assert h["local_translation_after_child"] == child_sign + assert h["owner_child_axes"] == [route(a, stage, complement) for a in child_axes] + exterior = ((1 << (9 + 8 * stage)) - 1) ^ 511 + current = (1 << (9 + 8 * stage)) - 1 + previous = (1 << (9 + 8 * (stage - 1))) - 1 if stage else 0 + for point in points: + local = route(point, stage, complement) + old = ((local & previous).bit_count() - dot(local, label)) if stage else 0 + entry = old + 2 * dot(local, alignment["entry_Y"]) + assert entry % 4 == (point & exterior).bit_count() % 4 + exit_phase = ((local & exterior).bit_count() + sum(dot(local, a) for a in child_axes) + + 2 * dot(local, child_sign) + 2 * dot(point, alignment["exit_Y"])) + target = (point & current).bit_count() - (dot(point, label) if stage < 8 else 0) + assert exit_phase % 4 == target % 4 + phase_checks += 2 + for i in range(73): + point = 1 << i + assert route(route(point, stage, complement), stage, complement) == point + assert Counter(h["child_rank"] for h in record["history"]) == {8: 8, 9: 1} + # The cover identity holds as a matrix identity on every address bit. + for stage in (1, 3, 5, 7): + for i in range(73): + point = 1 << i + assert route(route(route(point, stage, complement), stage, complement), stage + 1, complement) == route(point, stage + 1, complement) + assert hole_checks == 4096 and phase_checks == 144 * 2702 + assert omitted_signs_rejected > 0 + report = { + "status": "PASS_INDEPENDENT_CARRIED_QUERY_ALIAS", + "source_base": BASE, "pins": PINS, + "complete_712_column_replays": ["captured_backward_word", "following_forward_word"], + "captured_backward": backward_bill, "following_forward": forward_bill, + "arbitrary_helper_outputs": 480, "arbitrary_cache_inputs": 8, + "capture_ADDs": 424, "capture_real_primitives": 4224, + "unload_ADDs": 8, "unload_real_primitives": 64, + "four_window_real_primitives_per_replica": 17152, + "global_calls_checked": 144, "windows_checked": 4, + "signed_input_line_recipes_checked_by_address_algebra": 16, + "hole_eigenvalues_checked": hole_checks, + "global_phase_identities": 144, "points_per_identity": 2702, + "global_phase_value_comparisons": phase_checks, + "omitted_local_translation_counterexamples": omitted_signs_rejected, + "profile_per_independent_owner": {8: 8, 9: 1}, + "paid_rank_per_owner": 73, + "baseline_capture_counterexample": {"cache": 0, "input_Y_port": 2, "residual": "-1/2"}, + "native_scope": "Exact new hole and owner phase identities. Retained local child kernels, local endpoint adapters, and native input-line premises are inherited; no broad kernel replay.", + "all_tensor_sizes": "Exact base identities have scalar phase one. Tensor them with the same translations and address gathers; use each scalar coefficient once.", + "credit_scope": "Rank 584 per replica is paid. Productive rank 584 requires eight admitted independent owners and their full F73 outputs; this review does not admit their allocation.", + "excluded": ["Clean query access", "Restoration of source G", "A complete global data controller", "Final owner allocation", "Address and scalar-control invoice", "Full recursive or precision invoice", "Kappa improvement"], + } + (HERE / "REVIEW.json").write_text(json.dumps(report, indent=2, sort_keys=True) + "\n") + print(report["status"]) + print("all712=2 phase_identities=144 phase_values=389088 hole_eigenvalues=4096") + print("capture=4224 unload=64 windows=4 owner_rank=73") + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/verify_carried_query_alias.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/verify_carried_query_alias.py new file mode 100644 index 0000000000..b310b9b623 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/verify_carried_query_alias.py @@ -0,0 +1,315 @@ +"""Check a port-routed query cache on the four actual B-to-F windows. + +The input logger comes from the circuit-interface and history-encoding +lanes. The route convention comes from the selected supplier. The +residual-syndrome lane supplied the persistent Y-shadow cache history. +Research used OpenAI Codex under the user's direction. +""" + +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import gzip +import importlib.util +import io +import json +import subprocess +import tarfile + + +HERE = Path(__file__).resolve().parent +LANES = HERE.parents[1] +ROOT = HERE.parents[4] +BASE = 'bce54fb3f895cbe5cd4c0eb477c3afeed100190f' +ARCHIVE = 'research/community-frontier1042-audit/selected-replay.tar.gz' +PHASES = 't16/global/base/work/complex-nine-native/DATA-PHASES.json' +TEMPLATE = 't16/global/base/split-centres/GLOBAL-TEMPLATE.json.gz' +PLAN = 'research/complex-t16-rare-pattern-exchanges/data/PLAN.json' +PINS = { + ARCHIVE: '22c3f4dce4b897a1d423d1388801933e288b6a6b1906cb15e1b16a5eb68db754', + PHASES: 'c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa', + TEMPLATE: 'a179dad87651aba340a5a8ddbcd86a8e757cad87b8a1f8bad48106fbecd38518', + PLAN: '7bd786ba8e66408f02aa9ef446eaf20c1bfe981ea2e4dd1e5a929f0aa7767bc0', + 'word': '16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219', + 'R': '5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3', + 'logger': 'ac824c98819dc1defef14788bf5215f72323f49a49f1f8bec4ee373558eba82e', + 'borrowed': '6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096', + 'algebra': 'a397a9fe8cd9933106aab2f01edee0e16b54cc1c1cede78b6dac90844d5fdbcf', +} +T_PORTS = [21, 37, 47, 76, 81, 87, 92, 110] + + +def need(value, reason): + if not value: + raise ValueError(reason) + + +def pinned(raw, key): + need(sha256(raw).hexdigest() == PINS[key], 'Source pin: '+key) + return raw + + +def local(path, key, compressed=False, pin_compressed=False): + raw = path.read_bytes() + if pin_compressed: + pinned(raw, key) + if compressed: + raw = gzip.decompress(raw) + if not pin_compressed: + pinned(raw, key) + return json.loads(raw) + + +def git_bytes(path): + raw = subprocess.run(['git', 'show', BASE+':'+path], + cwd=ROOT/'worktrees/k5-centre-sharing', + check=True, capture_output=True).stdout + return pinned(raw, path) + + +def dot(x, y): + return (x & y).bit_count() & 1 + + +def port_basis(q): + # This is the chart fixed in the selected source, with q first. + j = next(i for i in range(9) if not (q >> i) & 1) + v = q ^ (1 << j) + out = [] + for i in range(9): + x = 1 << i + if j and (x & 1) != ((x >> j) & 1): + x ^= 1 | (1 << j) + out.append(x ^ (v if dot(v, x) else 0)) + need(out[0] == q and all(dot(a, b) == (i == j) + for i, a in enumerate(out) for j, b in enumerate(out)), 'Orthogonal port chart') + return out + + +def route(x, stage, basis): + if not stage: + return x + offset = 9+8*(stage-1) + out = x & ~(511 | (255 << offset)) + if dot(x, basis[0]): + out ^= basis[0] + for k, b in enumerate(basis[1:]): + if dot(x, b): + out ^= 1 << (offset+k) + if (x >> (offset+k)) & 1: + out ^= b + return out + + +def form(axes=(), translation=0): + """Return the full Z4 Fourier phase, including its linear sign.""" + linear = [2*((translation >> i) & 1) for i in range(73)] + quadratic = [0]*73 + for axis, coefficient in axes: + for i in range(73): + if not (axis >> i) & 1: + continue + linear[i] = (linear[i]+coefficient) % 4 + if coefficient & 1: + quadratic[i] ^= axis & ~((1 << (i+1))-1) + return linear, quadratic + + +def translation_between(left, right): + a, aq = form(left) + b, bq = form(right) + need(aq == bq and all((u-v) % 2 == 0 for u, v in zip(a, b)), 'Pure translation defect') + return sum(1 << i for i, (u, v) in enumerate(zip(a, b)) if (u-v) % 4 == 2) + + +def rational(rows): + return [{int(j): Q(q) for j, q in row.items()} for row in rows] + + +def scalar_add(target, source, q): + return ['scalar', ['add', target, source, q.numerator, q.denominator], 0] + + +def frames(events, word): + state, profile = word['start'][:]+[0]*8, Counter() + for event in events: + kind = event[0] + if kind == 'input_target_line': + _, p, q, sign, before, after, rank = event + need(q == word['ports'][p] and rank == 1 and state[p] == before, 'Input line frame') + need((sign, before, after) in ((-1, word['start'][p], 0), (1, 0, word['start'][p])), 'Input line sign') + state[p] = after + profile[1] += 1 + elif kind == 'climb': + _, _, p, before, after, rank = event + need(state[p] == before, 'Retained native entry') + state[p] = after + profile[rank] += 1 + elif kind == 'scalar': + gate, frame = event[1:] + need(gate[0] in ('add', 'scale'), 'No erased borrowed value') + target = gate[1][1]+(704 if gate[1][0] == 'C' else 0) + need(state[target] == frame, 'Scalar target frame') + if gate[0] == 'add': + source = gate[2][1]+(704 if gate[2][0] == 'C' else 0) + need(source != target and state[source] == frame, 'Scalar source frame') + else: + need(kind in ('phase', 'adapter', 'residual_adapter'), 'Known retained event') + need(state == word['final']+[0]*8, 'All data and borrowed-C endpoints') + return dict(sorted(profile.items())) + + +def main(): + path = LANES/'history-encoding/check_backward_cut_source.py' + pinned(path.read_bytes(), 'algebra') + spec = importlib.util.spec_from_file_location('carried_alias_algebra', path) + algebra = importlib.util.module_from_spec(spec) + spec.loader.exec_module(algebra) + word = local(ROOT/'work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz', 'word', True, True) + R = rational(local(LANES/'circuit-interface/INTERFACE.json', 'R')['R']) + module = LANES/'circuit-interface/borrowed-centres' + logger = local(module/'INPUT-SOURCE-FAMILY-PROGRAMS.json.gz', 'logger', True) + borrowed = local(module/'BORROWED-CENTRES-PROGRAMS.json.gz', 'borrowed', True)['programs'] + need(logger['T_ports'] == T_PORTS, 'Actual log ports') + K = [{k: row[p]/4 for k, row in enumerate(R) if p in row} for p in range(112)] + RT = [{k: row[p] for k, p in enumerate(T_PORTS) if p in row} for row in R] + RT_inverse = [K[p] for p in T_PORTS] + need([algebra.combine(row, RT) for row in RT_inverse] == [{k: Q(1)} for k in range(8)], 'Exact selected inverse') + query = [algebra.combine(row, R) for row in RT_inverse] + capture = [scalar_add(['C', k], ['L', 112+p], q) + for k, row in enumerate(query) for p, q in sorted(row.items())] + unload = [scalar_add(['C', k], ['L', 112+p], Q(-1)) for k, p in enumerate(T_PORTS)] + need(len(capture) == 424 and algebra.scalar_bound(capture) == 4224, 'Normalized capture invoice') + need(len(unload) == 8 and algebra.scalar_bound(unload) == 64, 'Alias unload invoice') + identity = [{i: Q(1)} for i in range(712)] + before = algebra.replay(capture, identity) + after = algebra.replay(logger['programs']['logger'], before) + base_after = algebra.replay(logger['programs']['logger'], identity) + need(after[:704] == base_after[:704], 'Capture has no data or helper effect') + for k, p in enumerate(T_PORTS): + want = {112+j: q for j, q in query[k].items()} + need(after[112+p] == want, 'Logged selected output is the captured query') + want[704+k] = Q(1) + need(after[704+k] == want, 'All arbitrary borrowed cache inputs are retained') + captured_profile = frames(capture+logger['programs']['logger'], word) + need(sum(r*n for r, n in captured_profile.items()) == 5538, 'Captured logger native mass') + # The next call starts after both aliases have the same native map. + alias_input = [row.copy() for row in identity] + for k, p in enumerate(T_PORTS): + alias_input[704+k][112+p] = Q(1) + need(algebra.replay(unload, alias_input) == identity, 'Alias unload on all712 input columns') + need(algebra.replay(unload+borrowed['forward'], alias_input) == + algebra.replay(borrowed['forward'], identity), 'The complete following forward word') + frames(unload+borrowed['forward'], word) + baseline_residual = [] + for k, p in enumerate(T_PORTS): + row = {p: Q(1)} + algebra.add(row, query[k], Q(-1)) + baseline_residual.append(row) + witness = next((k, p, q) for k, row in enumerate(baseline_residual) for p, q in sorted(row.items())) + need(witness[2] != 0, 'An old selected baseline does not have alias closure') + + archive = git_bytes(ARCHIVE) + with tarfile.open(fileobj=io.BytesIO(archive), mode='r:gz') as stream: + phase = json.loads(pinned(stream.extractfile(PHASES).read(), PHASES)) + template = json.loads(gzip.decompress(pinned(stream.extractfile(TEMPLATE).read(), TEMPLATE))) + plan = json.loads(git_bytes(PLAN)) + need((plan['K'], plan['T'], plan['M'], plan['L'], plan['live']) == (4, 16, 73, 9, 14336), 'Selected supplier dimensions') + need(Counter(c['stage'] for c in plan['provider_calls']) == {s: 16 for s in range(9)}, 'Selected replica schedule') + schedule = template['execution_schedule'] + windows = [] + for stage in (1, 3, 5, 7): + start = next(i for i, e in enumerate(schedule) if e.get('kind') == 'local_cover_sweep' and e.get('stage') == stage) + end = next(i for i, e in enumerate(schedule) if e.get('kind') == 'local_cover_sweep' and e.get('stage') == stage+1) + pair = (stage-1)//2 + between = schedule[start+1:end] + for event in between: + if event['kind'] == 'bridge': + need(event['dst'] == pair and event['src'] == pair+1, 'The bridge leaves the active Y source unchanged') + elif event['kind'] == 'idle_cover_sweep': + need(event['pair'] != pair, 'No idle transform touches the active Y source') + else: + need(False, 'An unaccounted event lies in the cache window') + windows.append({'backward_stage': stage, 'forward_stage': stage+1, + 'pair': pair, 'intervening_events': between}) + need(template['route_semantics']['data'].startswith('physical cover class d*rho(stage,port)'), 'Actual data route convention') + + histories, phase_count, eigenvalue_count = [], 0, 0 + for k, p in enumerate(T_PORTS): + item, q = phase['recipes'][p], word['ports'][p] + need(item['q'] == q, 'Phase recipe port label') + basis = port_basis(q) + units = [1 << i for i in range(9)] + eta = translation_between([(b, 1) for b in basis], [(u, 1) for u in units]) + for z in range(512): + left = (sum(dot(z, u) for u in units)-dot(z, q)) % 4 + right = (sum(dot(z, b) for b in basis[1:])+2*dot(z, eta)) % 4 + need(left == right, 'All exact local hole eigenvalues, including phase') + eigenvalue_count += 1 + history = [] + for stage in range(9): + align = item['stage_alignment'][stage] + exterior = [(1 << i, 1) for i in range(9, 9+8*stage)] + old = [] if stage == 0 else [(route(1 << i, stage, basis), 1) + for i in range(9+8*(stage-1))]+[(q, -1)] + entry_sign = route(align['entry_Y'], stage, basis) + need(form(old, entry_sign) == form(exterior), 'Exact cache input frame equals the local Y input frame') + local_axes = units if stage == 8 else basis[1:] + local_sign = 0 if stage == 8 else eta + owner_axes = [route(a, stage, basis) for a in local_axes] + new = [(route(a, stage, basis), 1) for a, _ in exterior]+[(a, 1) for a in owner_axes] + new_sign = align['exit_Y'] ^ route(local_sign, stage, basis) + target = [(1 << i, 1) for i in range(9+8*stage)] + if stage != 8: + target.append((q, -1)) + need(form(new, new_sign) == form(target), 'Exact cache output frame and scalar phase') + phase_count += 2 + history.append({'stage': stage, 'local_register': ['C', k], 'data_port': p, + 'label': q, 'owner_route': {'right_cover_translation': 'rho(stage,label)', + 'same_address_gather_as_data_Y': True}, + 'entry_translation_owner_coordinates': align['entry_Y'], + 'child_rank': len(local_axes), 'local_child_axes': local_axes, + 'local_translation_after_child': local_sign, + 'exit_translation_owner_coordinates': align['exit_Y'], + 'owner_child_axes': owner_axes, + 'capture_before_local_word': stage in (1, 3, 5, 7), + 'unload_before_local_word': stage in (2, 4, 6, 8)}) + need(sum(h['child_rank'] for h in history) == 73, 'One complete independent owner job') + histories.append({'cache': k, 'label': q, 'port': p, 'local_hole_translation': eta, + 'hole_child_chart_columns': basis[1:]+[q], 'history': history}) + + payload = {'schema': 'carried-query-alias-v1', 'source_base': BASE, 'source_pins': PINS, + 'T_ports': T_PORTS, 'query_rows': algebra.serial(query), 'capture': capture, 'unload': unload, + 'captured_backward_word': capture+logger['programs']['logger'], + 'following_forward_word': unload+borrowed['forward'], 'windows': windows, 'histories': histories, + 'owner_contract': 'Eight independent inputs h per replica. Local C aliases their port-routed fields. Final output is F73 h after the existing full-cover translation.', + 'closure_scope': 'The cache owner is restored after each window. The data source code G is not removed by this theorem.', + 'global_cover_correction': template['cover_final_correction']['formula']} + raw = json.dumps(payload, sort_keys=True, separators=(',', ':')).encode() + (HERE/'CARRIED-QUERY-ALIAS-PROGRAMS.json.gz').write_bytes(gzip.compress(raw, mtime=0)) + receipt = {'status': 'PASS_CARRIED_QUERY_ALIAS', 'source_base': BASE, 'source_pins': PINS, + 'payload_sha256': sha256(raw).hexdigest(), 'local_input_columns': 712, + 'arbitrary_helpers_restored': 480, 'arbitrary_cache_inputs': 8, + 'capture': {'ADDs': 424, 'real_primitives': 4224}, + 'unload': {'ADDs': 8, 'real_primitives': 64}, + 'four_window_scalar_overhead_per_replica': 17152, + 'captured_logger_scalar_bound': 228166+4224, + 'captured_logger_native_profile': captured_profile, + 'local_hole_eigenvalues': eigenvalue_count, 'exact_73_axis_frame_identities': phase_count, + 'windows': windows, 'owner_profile_per_field': {8: 8, 9: 1}, + 'paid_rank_per_owner': 73, 'productive_rank_per_independent_owner': 73, + 'owner_count_per_replica': 8, 'replicas': 16, + 'baseline_failure_witness': {'cache': witness[0], 'input_Y_port': witness[1], 'residual': str(witness[2])}, + 'excluded_claims': ['Source G restoration', 'Full global data controller', 'Owner admission or final live-row count', + 'Full recursive cost or precision invoice', 'A change in kappa'], + 'native_scope': 'New hole and owner phases are exact. Retained local child kernels and their endpoint adapters are inherited from the pinned words.'} + (HERE/'CARRIED-QUERY-ALIAS.json').write_text(json.dumps(receipt, indent=2, sort_keys=True)+'\n') + print(receipt['status']) + print('columns=712 hole_eigenvalues=4096 frame_identities=144 windows=4') + print('owner_rank=8*8+9=73 capture_plus_unload=4288 per_window') + print('payload_sha256='+receipt['payload_sha256']) + + +if __name__ == '__main__': + main() diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.json new file mode 100644 index 0000000000..ace2bf90d9 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.json @@ -0,0 +1,37631 @@ +{ + "added_real_scalar_primitives": 26624, + "bridge_read_replacements": [ + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 448, + "old_source_family": 133, + "port": 21, + "position": 6, + "replica": 0, + "stage": 1, + "target_family": 357 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 449, + "old_source_family": 149, + "port": 37, + "position": 6, + "replica": 0, + "stage": 1, + "target_family": 373 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 450, + "old_source_family": 159, + "port": 47, + "position": 6, + "replica": 0, + "stage": 1, + "target_family": 383 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 582, + "old_source_family": 188, + "port": 76, + "position": 6, + "replica": 0, + "stage": 1, + "target_family": 412 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 583, + "old_source_family": 193, + "port": 81, + "position": 6, + "replica": 0, + "stage": 1, + "target_family": 417 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 584, + "old_source_family": 199, + "port": 87, + "position": 6, + "replica": 0, + "stage": 1, + "target_family": 423 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 585, + "old_source_family": 204, + "port": 92, + "position": 6, + "replica": 0, + "stage": 1, + "target_family": 428 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 586, + "old_source_family": 222, + "port": 110, + "position": 6, + "replica": 0, + "stage": 1, + "target_family": 446 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 0, + "old_source_family": 357, + "port": 21, + "position": 40, + "replica": 0, + "stage": 3, + "target_family": 581 + }, + { + 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"replica": 0, + "stage": 3, + "target_family": 647 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 6, + "old_source_family": 428, + "port": 92, + "position": 40, + "replica": 0, + "stage": 3, + "target_family": 652 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 7, + "old_source_family": 446, + "port": 110, + "position": 40, + "replica": 0, + "stage": 3, + "target_family": 670 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 8, + "old_source_family": 581, + "port": 21, + "position": 98, + "replica": 0, + "stage": 5, + "target_family": 805 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 9, + "old_source_family": 597, + "port": 37, + "position": 98, + "replica": 0, + "stage": 5, + "target_family": 821 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 10, + "old_source_family": 607, + "port": 47, + "position": 98, + "replica": 0, + "stage": 5, + "target_family": 831 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 11, + "old_source_family": 636, + "port": 76, + "position": 98, + "replica": 0, + "stage": 5, + "target_family": 860 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 12, + "old_source_family": 641, + "port": 81, + "position": 98, + "replica": 0, + "stage": 5, + "target_family": 865 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 13, + "old_source_family": 647, + "port": 87, + "position": 98, + "replica": 0, + "stage": 5, + "target_family": 871 + }, + { + "coefficient": -1, + "cover_and_native_address": "unchanged", + "new_source_family": 14, + "old_source_family": 652, + "port": 92, + "position": 98, + "replica": 0, + "stage": 5, + "target_family": 876 + }, + { + "coefficient": -1, + 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894, + "original_pair": 3, + "replica": 15, + "stage": 7, + "window": 63 + } + ] +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.md new file mode 100644 index 0000000000..4238568b25 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.md @@ -0,0 +1,192 @@ +# Clean queries in 512 old idle fields + +The selected schedule has enough unused old fields to store all 512 +selected query rows from the end of a backward call to the start of the +next forward call. The construction uses 512 distinct donors. It adds +no native child, productive field, or physical field. Two complete +physical swaps per row cost 26,624 real scalar primitives in the finite +template. The full address and precision bill remains open. + +This result gives access to a clean saved query during an open interval. +It does not invert the source code G, store the query through the next +forward call, or complete a Fourier supplier. The swapback returns the +data to the same state as the original query logger at that cut. + +## Source and interval + +The source premise is the exact original-complex local map in +[CARRIED-QUERY-ALIAS.md](../../residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.md): + +\[ + (x,y,h,c)\longmapsto(x-Jy,Gy,h,c),\qquad + \pi_TG=Q_T=R_T^{-1}R, +\] + +with the selected ports + +```text +T = [21, 37, 47, 76, 81, 87, 92, 110]. +``` + +The 480 ordinary helpers and all eight local C fields can have arbitrary +inputs. The source result preserves their required endpoints. This +storage construction does not alias an old donor to a local C field. + +For each replica and each s in {1,3,5,7}, capture the query after the +complete B_s cover sweep and before the next original event. Erase it +before the complete F_(s+1) cover sweep. These are 64 intervals. The +selected Y field is physically unchanged during each interval. In the +first three intervals it is read by one plus bridge. There is no such +read in the last interval. + +This interval differs from the one in +[RELATIVE-REUSE.md](RELATIVE-REUSE.md). That result captures a computed +query before B and carries it through eight native axes. Here capture +is after B. The required relative native map is the identity. + +## Physical swap lemma + +Let q be one physical selected-Y output after B. It already contains +the clean query, with its exact original complex phase and cover route. +Let a be the arbitrary physical value of an old donor. No relation +between their logical frames is required. Apply the raw array swap + +\[ + (Y,C)=(q,a)\longmapsto(a,q). +\] + +The letter C in this display denotes the chosen old donor, not a private +local C register. A literal swap is + +```text +Y += C +C -= Y +Y += C +C = -C +``` + +It acts on the complete physical arrays at the same cover class and +native address. Its exact matrix is the unsigned exchange. Intermediate +ADDs do not need a common logical frame: the complete four-operation +block implements that physical exchange for all values. + +Suppose that the donor has no original event use before erasure. The +parked old value a in Y must also have no use. If an original operation +reads Y, replace that read by a read of C at the identical physical +cover class and native address. This gives the same q to the original +target. The target operation and its native frame stay unchanged. + +Before F, apply the same complete swap again. Then + +\[ + (Y,C)=(a,q)\longmapsto(q,a). +\] + +The donor is restored exactly, and the selected Y value is the original +post-B query. This holds for arbitrary a, including values correlated +with other inputs. The query stays in the selected-Y physical frame; +it is not normalized to I or to a full Fourier frame. + +Any additional use of the stored query must preserve it, or must restore +it before the second swap. This result alone supplies no native access +in a different frame and no source correction. + +## Exact old-owner allocation + +The [producer](check_clean_idle_storage.py) reads the pinned historical +selected template and the frozen source-alias receipt. It checks all +482 events, 144 local calls, 160 idle events, 144 bridges, and both +terminal events in every replica. Every local call marks all 704 +persistent owners, including all 69,120 complete helper occurrences. +An idle event marks all 224 fields of its pair, including fields with +zero residual rank and fields that receive only a phase translation. + +For each interval, a candidate donor must satisfy all of these rules: + +- It is one of the original 14,336 live fields. +- It has no original event use inside the storage interval. +- It is not one of the 704 owners of either endpoint call. +- It is not any of the 512 selected query-source fields. +- It has not been assigned to any other query row. + +The endpoint exclusion is stronger than required by the swap lemma. +It ensures that no chosen donor is a helper, source, or target of the +two endpoint local calls. The global query-source exclusion prevents +one storage interval from placing its old value inside another +interval's query source. All 512 swaps have distinct source-donor +pairs. The old eight private C fields remain available and unchanged. + +The [receipt](CLEAN-IDLE-STORAGE.json) gives every interval, chosen +family, literal swap, and changed bridge read. There are between 3,608 +and 10,675 eligible old donors per interval before the global distinct +donor choice. A direct choice gives all 512 rows, so no failed-search +or optimality assertion is needed. + +Each of the first three intervals per replica has the bridge + +\[ + X_{\rm dst}\mathrel{+}=X_{\rm src},\qquad + Y_{\rm src}\mathrel{-}=Y_{\rm dst}. +\] + +The active query pair is dst. For its eight selected ports, the receipt +replaces the Y_dst source read by the assigned donor. There are exactly +384 such read replacements at 48 bridge events. The original target +family and coefficient -1 remain unchanged. The X operation remains +unchanged. All other uses of the parked Y value are absent, including +helper uses by a different replica. + +The construction must perform each capture as a complete cover sweep +after B, and each erase as a complete cover sweep before F. A local +invocation-order insertion is not the stated contract. No cover +intertwiner is needed: both swaps and every changed read use g to g +and the identity native address map. + +Since the source-donor pairs are globally disjoint, the new sweeps do +not change each other's storage fields. A donor cannot be an original +bridge target while it holds a query, because all original bridge uses +were excluded. Induction over the original events therefore preserves +every original output and every old owner value after each erase. + +## Cost and validation + +Across all 16 replicas, there are 1,024 physical swaps. Each uses three +complex unit ADDs and one complex sign SCALE. Under the selected scalar +lowering this gives + +\[ + 1024(3\cdot8+2)=26,624 +\] + +real scalar primitives, before cover and row multiplicities. There are +3,072 complex ADDs and 1,024 complex sign SCALEs. The construction adds +64 capture sweeps and 64 erase sweeps. It retains live stock 14,336 and +physical stock 14,826. The query logger, address sweeps, family-index +changes, and any later query use need their own complete invoice. + +The producer passed under `-I -O -B`. It checks the complete swap matrix +and the three-variable swap/read/swap matrix on formal q, a, and target +inputs. Omitting the sign gives a wrong swap. Keeping the old bridge +read gives target-a instead of target-q. Independent schedule review +has been requested; it is not yet claimed here. + +```sh +python3 -I -O -B work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/check_clean_idle_storage.py --archive worktrees/k5-persistent-cleanup/research/community-frontier1094-audit/selected-replay.tar.gz --alias work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.json --out work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/CLEAN-IDLE-STORAGE.json +``` + +Expected status: `PASS_ALL512_CLEAN_QUERY_IDLE_SWAPS`. + +The selected archive SHA256 is +`f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6`. +The compressed GLOBAL-TEMPLATE member SHA256 is +`2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760`. +The source-alias receipt SHA256 is +`42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2`. +The source-alias payload SHA256 is +`677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d` +after decompression. + +This result uses the selected historical owner schedule and the exact +source-alias theorem. It builds on the dirty-cache interval analysis, +but uses a separate post-B interval and a separate physical swap proof. +AI assistance was used to develop and check this research artifact. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/RELATIVE-REUSE.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/RELATIVE-REUSE.json new file mode 100644 index 0000000000..f7c5c284b6 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/RELATIVE-REUSE.json @@ -0,0 +1,112581 @@ +{ + "added_native_children": 0, + "added_physical_families": 0, + "added_productive_families": 0, + "added_scalar_real_primitives": 274432, + "alias_payload_sha256": "677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d", + "alias_receipt_sha256": "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2", + "candidate_owner_counts": [ + 123, + 187, + 152, + 149, + 95, + 145, + 66, + 172, + 195, + 212, + 96, + 88, + 41, + 97, + 174, + 193, + 169, + 97, + 94, + 386, + 120, + 130, + 121, + 446, + 81, + 129, + 147, + 424, + 150, + 57, + 234, + 234, + 138, + 194, + 173, + 146, + 96, + 177, + 89, + 178, + 167, + 182, + 94, + 72, + 74, + 105, + 200, + 174, + 199, + 110, + 95, + 349, + 132, + 125, + 92, + 311, + 75, + 139, + 177, + 377, + 145, + 83, + 264, + 118 + ], + "capture_ADDs": 27136, + "clean_query_access": false, + "complete_cohorts": 64, + "dirty_contract": "Add the physical query to arbitrary old owner value, run only its complete original native jobs, subtract X_(h delta) times the exact selected source alias; the old owner is restored", + "distinct_old_owner_families": 512, + "erase_ADDs": 512, + "full_cover_capture_sweeps": 64, + "full_cover_erase_sweeps": 64, + "local_C_alias": false, + "log_ports": [ + 21, + 37, 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address/control, precision and complete recursive supplier invoice" + ] +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/RELATIVE-REUSE.md b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/RELATIVE-REUSE.md new file mode 100644 index 0000000000..9022378ca3 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/RELATIVE-REUSE.md @@ -0,0 +1,245 @@ +# All 512 external dirty queries use old helper advances + +The selected owner allocation can carry every row of the 64 proposed +backward-to-forward query caches without a new native child or a new +field. A certificate assigns all 512 rows to 512 distinct old owners. +Each owner receives eight native axes through complete helper jobs +that are already in the selected invoice. No selected owner has a +data, bridge, or terminal use while it holds a query. + +The change is in the cache representation. The saved physical query +is added to the owner's old physical value. The two values need not +have the same logical entry frame. Only their native advance through +the interval must agree after an exact cover reindexing. This weaker +condition holds on the actual selected schedule. + +This is an external dirty-cache transport theorem. It does not put a +clean query in a local C register. It does not restore the source +code G left by the query logger, complete a controller, or improve +kappa by itself. + +## Transport lemma + +Let a be an arbitrary old physical field value at the capture cut. +Suppose that, until the erase cut, its original complete jobs act by +an invertible native map T. Assume that no data or other scalar use +of the field occurs in that interval. Let q_0 be the physical query +at capture and q_1 its available source alias at erase. If a known +monomial map M satisfies + +\[ + TMq_0=Mq_1, +\tag{1} +\] + +then the following sequence restores the old field exactly: + +\[ + a\ \longmapsto\ a+Mq_0 + \ \longmapsto\ Ta+TMq_0 + \ \longmapsto\ Ta. +\tag{2} +\] + +There is no condition on a and no equality between its entry frame +and the query frame. The complete helper contract is an identity on +arbitrary input values, so it also holds when the added query is +correlated with data used elsewhere in the local invocation. The +other data and helpers have their unchanged complete outputs. + +Equation (2) only states transport and erasure. A gate that uses the +cache while the query is present must also cancel the unknown a. +Nothing in this lemma makes the cache a clean source. In particular, +this proof does not alias the cache to one of the eight local C +registers. Such an alias could conflict with its original helper role. + +## Exact native operator on the actual query window + +Use the original complex construction, with parent dimension 73. +Let E_s be the fresh eight-coordinate block of a positive stage s. +The four windows have s in {1,3,5,7}, from just before B_s to just +before F_(s+1). The selected query ports are + +```text +[21, 37, 47, 76, 81, 87, 92, 110]. +``` + +The exact source alias is the separate premise in +[CARRIED-QUERY-ALIAS.md](../../residual-syndrome/physical-algebra/CARRIED-QUERY-ALIAS.md). +Its normalized query is Q_T y=R_T^-1 R y. The logger puts row k in +the selected Y output. That source is unchanged before the next +forward entrance. In the original owner chart, its native frames +change from F_(U_(s-1)) C_p^-1 to F_(U_s) C_p^-1. All original +entry, exit, and cover phase terms are retained in that alias proof. +Their relative operator is exactly F_(E_s), with scalar phase one. + +At physical cover class g, the query therefore obeys + +\[ + q_1(g)=P_g F_{E_s}P_g^{-1}q_0(g). +\tag{3} +\] + +The query at capture is a computed value, not the old selected Y +coordinate. The normalized prefix forms it with the actual local +entry gathers. Equation (3) uses the selected source alias after +the logger. It does not assume a fixed original y or an invariant +cover input. + +Now choose an old owner's interval with eight distinct pending axes +v_1,...,v_8 from its actual orthonormal chart. The selected certificate +uses only complete helper jobs. It includes no idle translation and +no suffix. Its exact owner-chart interval map is + +\[ + T_0=\prod_{j=1}^{8}C_{v_j}. +\] + +Choose an orthogonal 73-axis map U that sends the ordered unit basis +of E_s to (v_1,...,v_8). The producer completes this map with the +remaining columns of the actual orthonormal owner chart, in order. +The selected cover is all of O(73,2), so U is already an allowed +cover element. Exact orthogonal conjugation gives + +\[ + T_0=P_UF_{E_s}P_U^{-1}. +\tag{4} +\] + +There is no original-C phase loss in (4): each individual C_e maps +exactly to C_(Ue). The certificate checks the columns and inverse, +the eight actual pending axes, and every Fourier character on that +eight-axis factor. The factors fix the zero character, so the scalar +phase is one. The identity extends by the spectator identity and by +tensor products to every positive tensor multiplicity. + +For a query field at cover class g, use the donor at + +\[ + h=gU^{-1}. +\] + +Equivalently, define the cover permutation (Mz)(h)=z(hU), leaving the +physical native address unchanged. The donor's interval map is + +\[ + T(h)=P_hT_0P_h^{-1} + =P_{hU}F_{E_s}P_{hU}^{-1}. +\] + +This is precisely the source map in (3) at g=hU. Hence TM=M T_query +on arbitrary full-cover arrays, and equation (1) follows. The exact +cover permutation moves a payload between independent classes; it +does not equate their contents. A more general path with a net +translation would require that same translation on the erase ADD. +All 512 selected paths here have zero net translation. + +## A literal owner witness + +For replica 0 at B1, row 0 has source port 21. It is captured at +execution position 4 and erased at position 18. Its donor is family +9185: the X side of pair 1 in replica 10, on port 1. The donor enters +with native rank 1, while the computed query has entry rank 8. + +The donor's sole intervening job is selected helper record 3809 at +execution position 11. It has rank 8, with actual axes + +```text +[21, 22, 8, 7, 32, 64, 128, 256]. +``` + +The emitted U maps the source fresh axes 9 through16 to these vectors. +There is no data, bridge, terminal, or other scalar use of family 9185 +in the half-open interval. The helper sees an arbitrary input and +returns exactly its native advance. After the erase ADD, the donor +has exactly the value required by its original subsequent schedule. +This example is outside an equal-entry-frame cache interface. + +## The complete selected allocation + +The [producer](check_relative_reuse.py) reads only the pinned selected +archive plus the frozen alias receipt. It reconstructs all original +owner native histories and all scalar-use barriers. It checks the +exact complete helper routes, residual widths, spectator choices, +and all non-repeated pending axes. It preserves the old eight +private C fields outside the live owner namespace. + +For each of the 64 windows it tests every old live owner. It retains +only paths with no scalar use and exactly eight new native axes. +It then gives each of the 512 query rows a distinct owner. This is +stronger than merely finding non-overlapping repeated uses of one +field. A matching of 512 rows establishes full row coverage; no +optimality argument is needed for this construction. + +The [receipt](RELATIVE-REUSE.json) records every row, owner, full +intervening path, native axis, cover map, inverse map, and phase. +The selected assignment has the following exact counts: + +- 348 old X owners and 164 old Y owners; +- 499 rows whose query and donor have different entry native ranks; +- 479 complete rank-eight helper jobs and 66 complete rank-four jobs; +- total already-paid rank 4096=512*8; +- no idle suffix, idle translation, new native child, or new field; +- all 64 eight-row cohorts covered. + +Every chosen donor is outside the current source pair at capture. +It can be an ordinary helper of the backward call or a later call. +The entire local arbitrary-helper identity remains applicable. +When the query is erased, the old field has its exact original value +and frame, so its later data use is unchanged. + +## Full-cover order and cost scope + +Capture is a complete cover sweep before any invocation in the B_s +core sweep. Erase is a complete cover sweep before any invocation in +the F_(s+1) core sweep. A donor can occur as a helper at a routed cover +class different from its capture class. Thus capture must not be +interleaved with local core invocations. These new scalar sweeps +preserve every original core, helper, idle, and bridge event order. + +The source alias supplies the literal normalized prefix and erase +counts. Across all windows, these give 27,136 complex capture ADDs +and 512 complex erase ADDs, with real primitive bound 274,432. The +cover reindexings and exact source entry gathers still need their +finite address/control and precision bill. The receipt does not +claim that this scalar subtotal is the complete added cost. + +The live and physical stocks remain 14,336 and 14,826. No productive +rank credit is added. The original native child profile is unchanged +by the cache transport itself. The local query logger has its own +already stated extra native and scalar bill; this theorem does not +remove it. Compared with the separate 128-owner cache proposal, +there is no need to add its {8:1024,9:128} cache-native history, but +its 128 new productive rows are also absent. + +## Validation and open obligations + +The producer ran in isolated Python with assertions disabled: + +```sh +python3 -I -O -B check_relative_reuse.py \ + --archive SELECTED-REPLAY.tar.gz \ + --alias CARRIED-QUERY-ALIAS.json \ + --out RELATIVE-REUSE.json +``` + +It returned `PASS_ALL512_EXTERNAL_DIRTY_CACHE_PATHS`. The source +archive SHA256 is +`f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6`. +The alias receipt SHA256 is +`42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2`. +The receipt pins the exact template, canonical word, and original +complex phase member. Independent review is pending. + +The earlier equal-entry-frame results, with maxima 41 and 175, remain +valid in their stated classes. The present construction escapes +their entry-frame requirement. It establishes an external dirty +transport resource in the actual selected allocation. The remaining +construction work is to use that resource with a valid dirty-input +identity, restore the source code, close the complete controller, +and pay the finite recursive implementation cost. + +This work builds on the selected complete helper contracts, the +carried-query alias from the residual-syndrome lane, and the new +owner representation proposed in this lane. Research and exact +verification used OpenAI Codex under the user's direction. diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/check_clean_idle_storage.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/check_clean_idle_storage.py new file mode 100644 index 0000000000..708c7492eb --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/check_clean_idle_storage.py @@ -0,0 +1,197 @@ +"""Bind clean post-B query storage to strictly idle old owners.""" + +from collections import Counter, defaultdict +from hashlib import sha256 +from pathlib import Path +import argparse +import bisect +import gzip +import json +import tarfile + + +ARCHIVE = "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6" +MEMBER = "candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz" +TEMPLATE = "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760" +ALIAS = "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2" +PORTS = [21, 37, 47, 76, 81, 87, 92, 110] + + +def require(value, label): + if not value: + raise ValueError(label) + + +def family(replica, pair, side, port): + return 896*replica+112*(2*pair+side)+port + + +def no_event(positions, start, end): + return bisect.bisect_left(positions, start) == bisect.bisect_left(positions, end) + + +def swap_word(first, second): + return [["ADD", first, second, 1], ["ADD", second, first, -1], + ["ADD", first, second, 1], ["SCALE", second, -1]] + + +def swap_matrix(omit_sign=False): + state = [[1, 0], [0, 1]] + for op in swap_word(0, 1): + if op[0] == "ADD": + _, a, b, c = op + state[a] = [x+c*y for x, y in zip(state[a], state[b])] + elif not omit_sign: + state[op[1]] = [op[2]*x for x in state[op[1]]] + return state + + +def window_matrix(redirect_read=True): + state = [[int(i == j) for j in range(3)] for i in range(3)] + program = swap_word(0, 1)+[["ADD", 2, 1 if redirect_read else 0, -1]]+swap_word(0, 1) + for op in program: + if op[0] == "ADD": + _, a, b, c = op + state[a] = [x+c*y for x, y in zip(state[a], state[b])] + else: + state[op[1]] = [op[2]*x for x in state[op[1]]] + return state + + +def main(args): + require(sha256(args.archive.read_bytes()).hexdigest() == ARCHIVE, "Selected archive pin") + with tarfile.open(args.archive) as archive: + raw = archive.extractfile(MEMBER).read() + require(sha256(raw).hexdigest() == TEMPLATE, "Selected template pin") + require(sha256(args.alias.read_bytes()).hexdigest() == ALIAS, "Exact selected source-alias premise") + alias = json.loads(args.alias.read_text()) + require(alias["status"] == "PASS_CARRIED_QUERY_ALIAS" and alias["arbitrary_helpers_restored"] == 480, "Source q and all arbitrary helpers") + template = json.loads(gzip.decompress(raw)) + calls, events = template["calls"], template["execution_schedule"] + positions = {e["time"]: i for i, e in enumerate(events) if e["kind"] == "local_cover_sweep"} + by_stage = {(c["replica"], c["stage"]): c for c in calls} + uses, helper_positions = defaultdict(list), defaultdict(list) + counts = Counter() + for i, event in enumerate(events): + replica, kind = event.get("replica"), event["kind"] + if replica is None: + require(i >= 480, "Every all-live event follows every query window") + continue + if kind == "local_cover_sweep": + call = calls[event["time"]] + owners = [owner[0] for owner in call["owners"]] + require(len(owners) == len(set(owners)) == 704, "Distinct persistent local owners") + for register, owner in enumerate(owners): + uses[owner].append(i) + if register >= 224: + helper_positions[owner].append(i) + counts["calls"] += 1 + elif kind == "idle_cover_sweep": + # Exclude the whole event even if an owner's suffix has rank0. + # This also excludes every complete-idle phase translation. + for side in range(2): + for port in range(112): + uses[family(replica, event["pair"], side, port)].append(i) + counts["idle_events"] += 1 + elif kind == "bridge": + for pair in (event["src"], event["dst"]): + for side in range(2): + for port in range(112): + uses[family(replica, pair, side, port)].append(i) + counts["bridges"] += 1 + elif kind in ("terminal_Y_translations", "terminal"): + for owner in range(896*replica, 896*(replica+1)): + uses[owner].append(i) + counts[kind] += 1 + else: + raise ValueError("Unknown selected event: "+kind) + require(counts == dict(calls=144, idle_events=160, bridges=144, terminal_Y_translations=16, terminal=16), "All482 source events are covered") + require(sum(len(v) for v in helper_positions.values()) == 69120, "Every complete ordinary helper use is excluded from storage windows") + + query_sources = {family(replica, pair, 1, port) + for replica in range(16) for pair in range(4) for port in PORTS} + require(len(query_sources) == 512, "All query-source families are distinct") + selected, windows, read_replacements, used_donors = [], [], [], set() + for replica in range(16): + for stage in (1, 3, 5, 7): + backward, forward = by_stage[replica, stage], by_stage[replica, stage+1] + start, end = positions[backward["time"]]+1, positions[forward["time"]] + require(backward["pair"] == forward["pair"], "The selected source pair remains the same in each window") + endpoint_owners = {v[0] for call in (backward, forward) for v in call["owners"]} + eligible = [owner for owner in range(14336) + if owner not in endpoint_owners and owner not in query_sources + and no_event(uses[owner], start, end)] + available = [owner for owner in eligible if owner not in used_donors] + require(len(available) >= 8, "Eight globally unused strictly idle donors are available") + chosen = available[:8] + used_donors.update(chosen) + window = dict(window=len(windows), replica=replica, stage=stage, + backward_position=start-1, capture_before_position=start, erase_before_position=end, + candidate_count=len(eligible), excluded_endpoint_owner_count=len(endpoint_owners), + original_pair=backward["pair"], donor_families=chosen) + windows.append(window) + for k, (port, donor) in enumerate(zip(PORTS, chosen)): + source = family(replica, backward["pair"], 1, port) + require(source in endpoint_owners and donor not in endpoint_owners + and donor not in query_sources and donor < 14336, + "No endpoint, private C, query-source or donor alias") + allowed_reads = [] + for i in range(start, end): + event = events[i] + if event.get("replica") != replica: + continue + if event["kind"] == "bridge" and event["dst"] == backward["pair"]: + require(event["coefficient"] == 1, "The selected source is read in the plus bridge") + replacement = dict(position=i, replica=replica, stage=stage, port=port, + old_source_family=source, new_source_family=donor, + target_family=family(replica, event["src"], 1, port), coefficient=-1, + cover_and_native_address="unchanged") + read_replacements.append(replacement) + allowed_reads.append(i) + elif i in uses[source]: + raise ValueError("The parked old donor value has an unhandled source use") + require(len(allowed_reads) == (0 if stage == 7 else 1), "Every selected-Y read is replaced") + # The source must not be an owner of another replica's local + # helper job. Such use is global even when replica differs. + require([i for i in uses[source] if start <= i < end] == allowed_reads, + "There is no unhandled source helper, idle, data, bridge or terminal use") + selected.append(dict(role=len(selected), window=window["window"], source_port=port, + source_family=source, donor_family=donor, + capture_program=swap_word(source, donor), erase_program=swap_word(source, donor), + physical_cover_map="g to g", physical_native_address_map="identity", + original_source_read_positions=allowed_reads)) + require(len(selected) == len(used_donors) == 512 and len(windows) == 64, "Complete clean-query storage assignment") + require(len(read_replacements) == 384, "All48 affected bridge events have eight selected read changes") + require(swap_matrix() == [[0, 1], [1, 0]], "The complete physical swap has the exact sign") + require(swap_matrix(True) != [[0, 1], [1, 0]], "Omitting the swap sign is rejected") + require(window_matrix() == [[1, 0, 0], [0, 1, 0], [-1, 0, 1]], + "The whole window restores both fields and preserves the original query read") + require(window_matrix(False) == [[1, 0, 0], [0, 1, 0], [0, -1, 1]], + "An unchanged selected-Y read would leak the arbitrary donor") + result = dict(status="PASS_ALL512_CLEAN_QUERY_IDLE_SWAPS", + source_archive_sha256=ARCHIVE, source_template_compressed_sha256=TEMPLATE, + source_alias_receipt_sha256=ALIAS, source_alias_payload_sha256=alias["payload_sha256"], + source_schedule_events=len(events), source_counts=dict(counts), log_ports=PORTS, + windows=windows, selected=selected, bridge_read_replacements=read_replacements, + distinct_old_donors=len(used_donors), complete_query_rows=512, complete_cohorts=64, + globally_excluded_query_source_families=sorted(query_sources), + minimum_candidates=min(row["candidate_count"] for row in windows), + maximum_candidates=max(row["candidate_count"] for row in windows), + physical_swaps=1024, complex_unit_ADDs=3072, complex_sign_SCALES=1024, + added_real_scalar_primitives=1024*(3*8+2), new_native_children=0, + new_productive_families=0, new_physical_families=0, old_live=14336, old_physical=14826, + full_cover_capture_sweeps=64, full_cover_erase_sweeps=64, + native_query_frame="The exact physical post-B selected-Y frame; no normalization or new source phase is applied", + value_after_swapback="The exact original post-B source output and the exact original idle donor value", + excluded_claims=["A common-I or common-F clean query", "A local-C alias", "Storage through the next forward call", "Source G inversion", "A complete scalar/address/precision supplier invoice", "A kappa improvement"], + rejected_controls=["Wrong unsigned-swap sign", "Use parked donor h in the original bridge read"]) + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+"\n") + print(result["status"]) + print(json.dumps({k: result[k] for k in ("complete_query_rows", "minimum_candidates", "maximum_candidates", "physical_swaps", "added_real_scalar_primitives")}, sort_keys=True)) + + +if __name__ == "__main__": + parser = argparse.ArgumentParser(description=__doc__) + for name in ("archive", "alias", "out"): + parser.add_argument("--"+name, type=Path, required=True) + main(parser.parse_args()) diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/check_relative_reuse.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/check_relative_reuse.py new file mode 100644 index 0000000000..cae276a876 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/lanes/source-domain/carried-owner-reuse/check_relative_reuse.py @@ -0,0 +1,260 @@ +"""Bind an external dirty query cache to original native owner advances.""" + +from collections import Counter, defaultdict +from hashlib import sha256 +from pathlib import Path +import argparse +import bisect +import gzip +import json +import tarfile + + +ARCHIVE = "f1da80610bf33c58527f18ad63b4350d0b864e1d4486141ee17ac9bed4d529d6" +PINS = { + "template": ("candidate/strict/global/hosted/GLOBAL-TEMPLATE.json.gz", "2acf02b418078e37090495c601fe550448751d4f35912757b13a1f778efc7760"), + "word": ("candidate/strict/global/base/providers/gauge44/CANONICAL-WORD.json.gz", "16bc0ebb04b4be6c0ade74badc6a0c0cdba4215eda86e4ff9f13abf8ecebd219"), + "phases": ("candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json", "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa"), +} +ALIAS_PIN = "42fb664f2273bacdc04603c548961de4a75ec04d752974794f0f0b311ca18bd2" +ALIAS_PAYLOAD = "677199e44967cb598bdd6b92f23400cf88ac40020e195f07a0c6e5244a3ace0d" +PORTS = [21, 37, 47, 76, 81, 87, 92, 110] + + +def require(value, label): + if not value: + raise ValueError(label) + + +def family(replica, pair, side, port): + return 896*replica+112*(2*pair+side)+port + + +def axis_mask(indices): + return sum(1 << i for i in indices) + + +def apply(columns, vector): + result = 0 + while vector: + bit = vector & -vector + result ^= columns[bit.bit_length()-1] + vector ^= bit + return result + + +def inverse(columns): + return [sum(((v >> i) & 1) << j for j, v in enumerate(columns)) for i in range(73)] + + +def field_span(rows, start, end): + positions = [r["position"] for r in rows] + return rows[bisect.bisect_left(positions, start):bisect.bisect_left(positions, end)] + + +def main(args): + require(sha256(args.archive.read_bytes()).hexdigest() == ARCHIVE, "Pinned selected archive") + inputs = {} + with tarfile.open(args.archive) as archive: + for key, (member, pin) in PINS.items(): + raw = archive.extractfile(member).read() + require(sha256(raw).hexdigest() == pin, "Pinned member: "+key) + inputs[key] = json.loads(gzip.decompress(raw) if member.endswith(".gz") else raw) + require(sha256(args.alias.read_bytes()).hexdigest() == ALIAS_PIN, "Exact carried-query alias receipt") + alias = json.loads(args.alias.read_text()) + require(alias["status"] == "PASS_CARRIED_QUERY_ALIAS" and alias["payload_sha256"] == ALIAS_PAYLOAD + and alias["arbitrary_helpers_restored"] == 480, "Selected source alias and arbitrary-helper premise") + template, word, recipes = inputs["template"], inputs["word"], inputs["phases"]["recipes"] + require(template["cover"] == "all matrices d in O(73,2), in lexicographic row order", "Every constructed map is in the selected cover") + calls, events = template["calls"], template["execution_schedule"] + position = {e["time"]: i for i, e in enumerate(events) if e["kind"] == "local_cover_sweep"} + by_stage = {(c["replica"], c["stage"]): c for c in calls} + bases, pending, child_type, idle_position = {}, {}, {}, {} + for port, recipe in enumerate(recipes): + basis = [recipe["q"]]+recipe["idle_children"][0]["orthogonal_axes"][:8]+[1 << i for i in range(9, 73)] + require(all((a & b).bit_count() % 2 == int(i == j) for i, a in enumerate(basis) for j, b in enumerate(basis)), "Complete orthonormal owner basis") + bases[port] = basis + index = {v: i for i, v in enumerate(basis)} + for child, row in enumerate(recipe["idle_children"]): + pending[port, child] = [index[v] for v in row["orthogonal_axes"]] + for i, event in enumerate(events): + if event["kind"] == "idle_cover_sweep": + for side, child in enumerate(event["child_indices"]): + child_type[child] = event["pair"], side + idle_position[event["replica"], child] = i + + histories, touches = defaultdict(list), defaultdict(list) + counts = Counter() + for index, row in enumerate(template["hosting"]["pooled_slots"]): + child, port, offset, width = (row[k] for k in ("child", "port", "offset", "width")) + axes = pending[port, child][offset:offset+width] + spectators = [axis for axis in range(73) if axis not in axes][:9-width] + route = [3, child, offset] if width == 9 else [4, child, offset, width, spectators] + register = 224+row["helper"] + require(row["family"] == family(row["owner_replica"], *child_type[child], port) + and calls[row["time"]]["owners"][register] == [row["family"], route], "Exact original complete helper owner and route") + require(len(axes) == width == len(word["frames"][word["final"][register]])-len(word["frames"][word["start"][register]]), "Complete arbitrary-input helper width") + histories[row["family"]].append(dict(kind="helper", index=index, position=position[row["time"]], axes=axes, translation=0)) + counts["helper_jobs"] += 1 + for index, row in enumerate(template["idle_children"]): + axes = pending[row["port"], row["child"]][row["pending_offset"]:] + require(len(axes) == row["rank"], "Complete selected suffix") + histories[row["family"]].append(dict(kind="suffix", index=index, position=idle_position[row["replica"], row["child"]], axes=axes, translation=0)) + counts["suffix_jobs"] += 1 + for i, event in enumerate(events): + replica, kind = event.get("replica"), event["kind"] + if replica is None: + continue + if kind == "local_cover_sweep": + call = calls[event["time"]] + require(len({v[0] for v in call["owners"]}) == 704, "Distinct original local owners") + for owner, route in call["owners"][:224]: + port = owner % 112 + require(route == [1, call["stage"], port], "Actual data route") + histories[owner].append(dict(kind="data", index=event["time"], position=i, + axes=list(range(8*call["stage"]+1, 8*call["stage"]+9)), + translation=recipes[port]["idle_children"][0]["translation_after"] if call["stage"] == 0 else 0)) + touches[owner].append(i) + counts["local_calls"] += 1 + elif kind == "bridge": + for pair in (event["src"], event["dst"]): + for side in range(2): + for port in range(112): + touches[family(replica, pair, side, port)].append(i) + counts["bridges"] += 1 + elif kind == "idle_cover_sweep": + for child in event["child_indices"]: + pair, side = child_type[child] + for port in range(112): + histories[family(replica, pair, side, port)].append(dict(kind="idle_translation", index=child, + position=i, axes=[], translation=recipes[port]["idle_children"][child]["translation_after"])) + counts["idle_events"] += 1 + elif kind in ("terminal_Y_translations", "terminal"): + # The complete signed terminal is an ordinary data use. Exclude + # it from every cache path, including its phase prelude. + for pair in range(4): + for side in range(2): + for port in range(112): + touches[family(replica, pair, side, port)].append(i) + counts[kind] += 1 + for owner in range(14336): + histories[owner].sort(key=lambda row: (row["position"], row["kind"] == "idle_translation")) + mask = int((owner//112) % 2 == 0) + shift = 0 + for row in histories[owner]: + axes = axis_mask(row["axes"]) + require(not mask & axes, "No original owner native axis repeats") + mask |= axes + shift ^= row["translation"] + row["after_axis_mask"] = mask + require(mask == (1 << 73)-1-int((owner//112) % 2 == 1), "Every old owner reaches its exact preterminal subspace") + require(shift == recipes[owner % 112]["idle_children"][0]["translation_after"], "Every old owner reaches its exact preterminal basis phase") + touches[owner].sort() + require(counts["helper_jobs"] == 69120 and counts["suffix_jobs"] == 7526 + and counts["local_calls"] == 144 and counts["idle_events"] == 160, "Complete original native history") + + cohorts, candidates = [], {} + for replica in range(16): + for stage in (1, 3, 5, 7): + start, end = (position[by_stage[replica, s]["time"]] for s in (stage, stage+1)) + cohort = len(cohorts) + cohorts.append(dict(cohort=cohort, replica=replica, stage=stage, start=start, end=end)) + eligible = [] + for owner in range(14336): + use = touches[owner] + if bisect.bisect_left(use, end) != bisect.bisect_left(use, start): + continue + path = field_span(histories[owner], start, end) + if sum(len(row["axes"]) for row in path) == 8: + eligible.append(owner) + candidates[cohort] = eligible + neighbors = {8*cohort+k: owners for cohort, owners in candidates.items() for k in range(8)} + chosen = {} + + def augment(role, seen): + for owner in neighbors[role]: + if owner in seen: + continue + seen.add(owner) + if owner not in chosen or augment(chosen[owner], seen): + chosen[owner] = role + return True + return False + + for role in range(512): + require(augment(role, set()), "All512 query rows have distinct old owners") + require(len(chosen) == 512, "No cache owner is reused anywhere in the campaign schedule") + selected, paid = [], Counter() + for owner, role in sorted(chosen.items(), key=lambda pair: pair[1]): + cohort, k = divmod(role, 8) + interval = cohorts[cohort] + path = field_span(histories[owner], interval["start"], interval["end"]) + axes = sorted(axis for row in path for axis in row["axes"]) + require(len(axes) == len(set(axes)) == 8 and all(row["kind"] != "data" for row in path), "Exact eight-axis native-only path") + target_basis = bases[owner % 112] + native_axes = [target_basis[index] for index in axes] + source_indices = list(range(9+8*(interval["stage"]-1), 9+8*interval["stage"])) + rest_target = [i for i in range(73) if i not in axes] + rest_source = [i for i in range(73) if i not in source_indices] + columns = [0]*73 + for source_axis, target_axis in zip(source_indices+rest_source, axes+rest_target): + columns[source_axis] = target_basis[target_axis] + transpose = inverse(columns) + require(all(apply(transpose, v) == 1 << i for i, v in enumerate(columns)), "Exact orthogonal map and inverse") + require([columns[i] for i in source_indices] == native_axes, "The map sends the source's fresh block to the actual donor advance") + shift = 0 + for row in path: + shift ^= row["translation"] + if row["axes"]: + paid[len(row["axes"])] += 1 + before = [row for row in histories[owner] if row["position"] < interval["start"]] + entry_mask = before[-1]["after_axis_mask"] if before else int((owner//112) % 2 == 0) + # This is a finite full-phase witness for T=X_shift U F8 U^-1. + # It checks all characters on the eight new axes and the independent + # translation sign; tensor extension is a direct product identity. + for bits in range(256): + z = 0 + for j, v in enumerate(native_axes): + if bits >> j & 1: + z ^= v + source_character = apply(transpose, z) + direct = sum((v & z).bit_count() % 2 for v in native_axes) % 4 + mapped = sum((source_character >> i) & 1 for i in source_indices) % 4 + require(direct == mapped, "Exact eight-axis Fourier phase of the donor interval") + selected.append(dict(role=role, **interval, source_port=PORTS[k], owner_family=owner, + owner_replica=owner//896, owner_pair=(owner % 896)//224, owner_side="X" if (owner//112) % 2 == 0 else "Y", + owner_port=owner % 112, entry_axis_mask=entry_mask, + query_entry_rank=8*interval["stage"], owner_entry_rank=entry_mask.bit_count(), + jobs=path, target_axis_indices=axes, target_axes=native_axes, source_fresh_axis_indices=source_indices, + U_columns=columns, U_inverse_columns=transpose, interval_translation=shift, + capture_translation=0, erase_translation_owner_coordinates=shift)) + candidate_counts = [len(candidates[k]) for k in range(64)] + result = dict(status="PASS_ALL512_EXTERNAL_DIRTY_CACHE_PATHS", + source_archive_sha256=ARCHIVE, source_members={k: dict(path=p, sha256=h) for k, (p, h) in PINS.items()}, + alias_receipt_sha256=ALIAS_PIN, alias_payload_sha256=ALIAS_PAYLOAD, source_counts=dict(counts), + log_ports=PORTS, candidate_owner_counts=candidate_counts, selected=selected, + distinct_old_owner_families=len(chosen), complete_cohorts=64, matched_rows=512, + old_owner_sides=dict(Counter(row["owner_side"] for row in selected)), + unequal_absolute_entry_ranks=sum(row["owner_entry_rank"] != row["query_entry_rank"] for row in selected), + selected_existing_native_profile=dict(sorted(paid.items())), selected_existing_native_mass=sum(k*v for k, v in paid.items()), + nonzero_erase_translations=sum(row["interval_translation"] != 0 for row in selected), + full_cover_capture_sweeps=64, full_cover_erase_sweeps=64, + added_native_children=0, added_productive_families=0, added_physical_families=0, + old_live=14336, old_physical=14826, original_private_namespace=template["private_namespace"], + capture_ADDs=64*alias["capture"]["ADDs"], erase_ADDs=64*alias["unload"]["ADDs"], + added_scalar_real_primitives=64*(alias["capture"]["real_primitives"]+alias["unload"]["real_primitives"]), + relative_operator="T_owner = X_delta P_U F_Es P_U^-1; cache cover h = query owner cover g U^-1", + dirty_contract="Add the physical query to arbitrary old owner value, run only its complete original native jobs, subtract X_(h delta) times the exact selected source alias; the old owner is restored", + local_C_alias=False, clean_query_access=False, source_G_restored=False, + unresolved=["Independent interval, phase and arbitrary-input review", "Uses of the dirty cache beyond transport and erase", "Source-code and full controller restoration", "Finite address/control, precision and complete recursive supplier invoice"]) + require(result["selected_existing_native_mass"] == 4096, "Exactly eight already-paid native ranks per row") + args.out.write_text(json.dumps(result, indent=2, sort_keys=True)+"\n") + print(result["status"]) + print(json.dumps({k: result[k] for k in ("matched_rows", "old_owner_sides", "unequal_absolute_entry_ranks", "selected_existing_native_profile", "nonzero_erase_translations", "added_scalar_real_primitives")}, sort_keys=True)) + + +if __name__ == "__main__": + parser = argparse.ArgumentParser(description=__doc__) + for name in ("archive", "alias", "out"): + parser.add_argument("--"+name, type=Path, required=True) + main(parser.parse_args()) diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/root/BORROWED-CENTRES-REVIEW.json b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/root/BORROWED-CENTRES-REVIEW.json new file mode 100644 index 0000000000..c429b97ff9 --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/root/BORROWED-CENTRES-REVIEW.json @@ -0,0 +1,39 @@ +{ + "borrowed_payload_sha256": "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + "checker_sha256": "6f95a98f17d4e80217ab7108687cba58dcdacccf8ce09b6d95b2d5f679432ad2", + "checks": { + "backward": { + "arbitrary_centre_fields_restored": 8, + "arbitrary_helpers_restored": 480, + "baseline_omission_rejected": true, + "input_columns": 712, + "native_events_unchanged": true, + "native_rank_mass": 5522, + "real_primitives": 207606, + "scalar_frames_checked": true, + "scalar_macros": 20653, + "uncompute_omission_rejected": true + }, + "forward": { + "arbitrary_centre_fields_restored": 8, + "arbitrary_helpers_restored": 480, + "baseline_omission_rejected": true, + "input_columns": 712, + "native_events_unchanged": true, + "native_rank_mass": 5522, + "real_primitives": 207606, + "scalar_frames_checked": true, + "scalar_macros": 20653, + "uncompute_omission_rejected": true + } + }, + "not_claimed": [ + "The stage-seven private cancellation preserves these fields", + "A global query carrier schedule", + "A complete supplier or kappa gain" + ], + "producer_imported": false, + "scope": "The actual unchanged native frames and children with arbitrary borrowed centre state. The old exact complex native contracts are inherited.", + "source_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "status": "PASS_INDEPENDENT_BORROWED_CENTRES_NATIVE_INTERFACE" +} diff --git a/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/root/review_borrowed_centres.py b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/root/review_borrowed_centres.py new file mode 100644 index 0000000000..7b137a56ae --- /dev/null +++ b/research/borrowed-centre-storage/sources/work/centre-encoding-campaign-20261014/root/review_borrowed_centres.py @@ -0,0 +1,126 @@ +"""Check the borrowed centre word without the producer implementation.""" + +from collections import Counter +from fractions import Fraction as Q +from hashlib import sha256 +from pathlib import Path +import gzip +import json + +from check_decoder_rank_budget import ROOT, REPO, require, sources + + +def read(name, pin, compressed=False): + raw = (ROOT / name).read_bytes() + if compressed: + raw = gzip.decompress(raw) + require(sha256(raw).hexdigest() == pin, "A reviewed input changed: " + name) + return json.loads(raw) + + +def index(register): + return register[1] + (704 if register[0] == "C" else 0) + + +def plus(target, source, coefficient): + for key, value in source.items(): + result = target.get(key, Q(0)) + coefficient * value + if result: + target[key] = result + else: + target.pop(key, None) + + +def replay(program, word): + rows = [{i: Q(1)} for i in range(712)] + frames = word["start"] + [0]*8 + cost, gates, native = 0, Counter(), Counter() + for event in program: + if event[0] == "climb": + _, _, target, before, after, rank = event + require(frames[target] == before, "A native entry frame is wrong.") + frames[target] = after + native[rank] += 1 + if event[0] != "scalar": + continue + gate, frame = event[1:] + kind, target = gate[0], index(gate[1]) + gates[kind] += 1 + require(kind in ("add", "scale"), "A borrowed word clears or copies a field.") + require(frames[target] == frame, "A scalar target frame is wrong.") + if kind == "add": + source, coefficient = index(gate[2]), Q(gate[3], gate[4]) + require(frames[source] == frame, "A scalar source frame is wrong.") + plus(rows[target], rows[source], coefficient) + else: + coefficient = Q(gate[2], gate[3]) + rows[target] = {key: coefficient*value for key, value in rows[target].items()} + a, b = abs(coefficient.numerator), coefficient.denominator + require(a > 0 and b & (b-1) == 0, "A coefficient is not a nonzero dyadic.") + if kind == "scale": + require(a & (a-1) == 0, "A scale is not a power of two.") + cost += 2*(abs(a.bit_length()-b.bit_length())+int(coefficient < 0)) + else: + cost += 2*(3+a.bit_length()-1+a.bit_count()+b.bit_length()-1) + require(frames == word["final"]+[0]*8, "The complete frames changed.") + return rows, cost, gates, native + + +def main(): + old = read("lanes/circuit-interface/CENTRE-FREE-PROGRAMS.json.gz", + "fa60b4af013dd8b8db289845e3ed597720ff955751ad270c3d58236b64080877", True) + new = read("lanes/circuit-interface/borrowed-centres/BORROWED-CENTRES-PROGRAMS.json.gz", + "6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", True) + interface = read("lanes/circuit-interface/INTERFACE.json", + "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3") + word = sources.load_local(REPO)["CANONICAL-WORD.json.gz"] + r = [[Q(row.get(str(p), 0)) for p in range(112)] for row in interface["R"]] + j = [[Q(a == b)-sum(r[k][a]*r[k][b] for k in range(8))/4 + for b in range(112)] for a in range(112)] + checks = {} + for direction in ("forward", "backward"): + program = new["programs"][direction] + native = lambda p: [event for event in p if event[0] != "scalar"] + require(native(program) == native(old[direction]), "A native event or phase label changed.") + rows, cost, gates, children = replay(program, word) + expected = [{i: Q(1)} for i in range(712)] + for a in range(112): + target, offset, sign = (112+a, 0, 1) if direction == "forward" else (a, 112, -1) + plus(expected[target], {offset+b: q for b, q in enumerate(j[a]) if q}, Q(sign)) + require(rows == expected, "The complete arbitrary-input content map is wrong.") + require(cost == 207606 and sum(gates.values()) == 20653, + "The literal scalar invoice differs.") + require(sum(rank*count for rank, count in children.items()) == 5522, + "The native rank mass differs.") + start = program.index(["phase", "centre_dirty_correction"]) + finish = program.index(["phase", "A"]) + block = program[start+1:finish] + require(len(block) == 1160 and all(e[0] == "scalar" and e[2] == 0 for e in block), + "The borrowed block is not the expected zero-frame word.") + bad = program[:start+1] + program[start+2:] + wrong, _, _, _ = replay(bad, word) + require(any(any(k >= 704 for k in row) for row in wrong[:704]), + "Omitting the initial subtraction did not expose borrowed data.") + bad = program[:finish-1] + program[finish:] + wrong, _, _, _ = replay(bad, word) + require(wrong[704:] != expected[704:], "Omitting the last uncompute did not break restoration.") + checks[direction] = dict(input_columns=712, arbitrary_helpers_restored=480, + arbitrary_centre_fields_restored=8, native_events_unchanged=True, + scalar_frames_checked=True, native_rank_mass=5522, + scalar_macros=sum(gates.values()), real_primitives=cost, + baseline_omission_rejected=True, uncompute_omission_rejected=True) + report = dict(status="PASS_INDEPENDENT_BORROWED_CENTRES_NATIVE_INTERFACE", + producer_imported=False, source_commit=sources.BASE, + checker_sha256=sha256(Path(__file__).read_bytes()).hexdigest(), + borrowed_payload_sha256="6b88cf885e22ef745eee74db04adc7feadfcc63a8248e8873b1a4caf76b21096", + checks=checks, + scope="The actual unchanged native frames and children with arbitrary borrowed centre state. The old exact complex native contracts are inherited.", + not_claimed=["The stage-seven private cancellation preserves these fields", + "A global query carrier schedule", "A complete supplier or kappa gain"]) + (ROOT / "root/BORROWED-CENTRES-REVIEW.json").write_text(json.dumps(report, indent=2, sort_keys=True)+"\n") + print(report["status"]) + print(json.dumps(checks, sort_keys=True)) + + +if __name__ == "__main__": + main() diff --git a/research/borrowed-centre-storage/sources/work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz b/research/borrowed-centre-storage/sources/work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..5f9ef68098 Binary files /dev/null and b/research/borrowed-centre-storage/sources/work/five-pr-sprint-20261013/lanes/centre-sharing/CANONICAL-WORD.json.gz differ diff --git a/research/publication-reviews/borrowed-centre-storage-general-completion/BODY-CLAIM-CHECK.json b/research/publication-reviews/borrowed-centre-storage-general-completion/BODY-CLAIM-CHECK.json new file mode 100644 index 0000000000..78c11d14a6 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage-general-completion/BODY-CLAIM-CHECK.json @@ -0,0 +1,19 @@ +{ + "accepted_review_sha256": "cf46aa614105cb2608eb39ae51b5cc774df873fe86170de829582420c5c44a3c", + "body_sha256": "2b35cd223b2e28c245ed9a93a600b38635a1fda6b471b0acead67e9d85c90ae2", + "claim_checks": [ + "General completion removes only selected-K compatibility, not the unit-minor premise", + "Onto-query converse retains full-query and unchanged-output requirements", + "Zero-or-d is conditional on RK=gI and an available unit d-field minor", + "Actual eight counts changed complete fields, not native children", + "Executed replay counts, command, expected status and omitted checks agree with evidence" + ], + "not_performed": [ + "Final GitHub object or URL verification", + "GitHub rendering or published-body readback" + ], + "publication_placeholder": "COMMIT must be replaced by the exact reviewed commit before publication", + "required_claim_edits": [], + "status": "PASS_GENERAL_COMPLETION_ANNEX_BODY_CLAIMS", + "template_link_targets_exist_locally": 6 +} diff --git a/research/publication-reviews/borrowed-centre-storage-general-completion/COLD-REPLAY.json b/research/publication-reviews/borrowed-centre-storage-general-completion/COLD-REPLAY.json new file mode 100644 index 0000000000..3790cdfe94 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage-general-completion/COLD-REPLAY.json @@ -0,0 +1,56 @@ +{ + "annex_files_checked": 11, + "checker_receipt_sha256": "184352d955f5afe23ac733babab4a2e42f03659026d5abee098cc7b29de42be3", + "checks_not_run": [ + "Native kernels or physical words", + "Global controller", + "Finite precision and recursive storage", + "Complete supplier invoice" + ], + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-O", + "-B", + "/private/tmp/general-completion-annex-review-20261022/annex/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/check_extension.py", + "--repo", + "/private/tmp/general-completion-annex-review-20261022/annex/frozen", + "--out", + "/private/tmp/general-completion-annex-review-20261022/output" + ], + "complete_receipt_byte_match": true, + "execution": "One unchanged independent checker; Python standard library", + "finished_utc": "2026-10-22T18:21:31.201613+00:00", + "kappa_improvement": false, + "manifest_exhaustive_except_self": true, + "manifest_sha256": "b8b01f878ad126435fcf5074a49c15864ff1a522fc9c9988cb4a578afd1c80a3", + "negative_hash_control": { + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-O", + "-B", + "/private/tmp/general-completion-annex-review-20261022/bad-hash-annex/replay.py", + "--out", + "/private/tmp/general-completion-annex-review-20261022/bad-hash-output" + ], + "expected_error": "Annex file hash: PROOF.md", + "rejected_before_output_creation": true, + "returncode": 1 + }, + "replay_input_scope": "Copied annex only; no source Git checkout or network read", + "reviewer_command": [ + "python3", + "-I", + "-O", + "-B", + "/private/tmp/general-completion-annex-review-20261022/annex/replay.py", + "--out", + "/private/tmp/general-completion-annex-review-20261022/output" + ], + "reviewer_cwd": "/private/tmp", + "scope": "Algebraic completion and changed-output fields; no native-child bound", + "seconds": 0.083471, + "source_bytes_unchanged_after_run": true, + "status": "PASS_BORROWED_CENTRE_GENERAL_COMPLETION_ANNEX" +} diff --git a/research/publication-reviews/borrowed-centre-storage-general-completion/INDEPENDENT-AUDIT.json b/research/publication-reviews/borrowed-centre-storage-general-completion/INDEPENDENT-AUDIT.json new file mode 100644 index 0000000000..ee8dd104f0 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage-general-completion/INDEPENDENT-AUDIT.json @@ -0,0 +1,44 @@ +{ + "actual_ranks": { + "J": 104, + "K": 8, + "R": 8, + "T": 112, + "T_minus_J": 8 + }, + "checks_not_run": [ + "New native implementation or native cost optimum", + "Global supplier or kappa calculation", + "Nonlinear program or finite-precision implementation" + ], + "interface_sha256": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "inverse_orders": 2, + "kernel_injection_rank": 8, + "method": "Direct finite-field matrix arithmetic with no source checker imports", + "negative_controls": [ + "Reversed factor order breaks retained rows", + "Unprojected K in D gives rank 104 and breaks query", + "Wrong shear sign breaks retained rows", + "Incompatible selected K gives a nonprojection repair" + ], + "prime": 13, + "realified_ranks": { + "J": 208, + "T": 224, + "T_minus_J": 16 + }, + "retained_rows": 104, + "scope": "Actual residue matrices and contract controls; the general ring claim uses the reviewed proof", + "selected_fields": [ + 0, + 7, + 20, + 27, + 36, + 46, + 57, + 111 + ], + "status": "PASS_INDEPENDENT_GENERAL_COMPLETION_ANNEX_AUDIT", + "unit_branch_control_rank": 112 +} diff --git a/research/publication-reviews/borrowed-centre-storage-general-completion/INPUT-HASHES.json b/research/publication-reviews/borrowed-centre-storage-general-completion/INPUT-HASHES.json new file mode 100644 index 0000000000..ad80b17607 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage-general-completion/INPUT-HASHES.json @@ -0,0 +1,20 @@ +{ + "package_relative_files": { + "GENERAL-COMPLETION-DELTA.json": "2f71f1bc1b65eee0c87c9f2135addf5b53b2a6764a2f74870e0f3848866fa45b", + "PACKAGE-HASHES.json": "d0c5d9253a021ed5dbc7e83c68bf268e35784ecfdcfa09b9f7cc673c31bcbec2", + "annex/general-completion/MANIFEST.json": "b8b01f878ad126435fcf5074a49c15864ff1a522fc9c9988cb4a578afd1c80a3", + "annex/general-completion/NOTICE.md": "8a76d5795660f1a96d815920a6b903ec98ec761c331a68d1afced73443c451d9", + "annex/general-completion/PROOF.md": "8036e9848529baf6acb5c5aef606f39ace91707c2f4921657b36469923a980f4", + "annex/general-completion/README.md": "2aa53873484d0dacace45ce504260d330d7703f002826dceec2e274ae5845bff", + "annex/general-completion/SOURCE-PINS.json": "b461bafdba5b6fc0c3adc01a993d952a3dacdf486bc7a8681e83fb3e4e6728d1", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/circuit-interface/INTERFACE.json": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/CHECK.json": "184352d955f5afe23ac733babab4a2e42f03659026d5abee098cc7b29de42be3", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.json": "1834a338e99aff5a2b8a195e5f903b2542cca23de3c80047f22a6cba40e56e57", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.md": "f5f3e210824af9a39aecc55145e16af1634a16eeb12c32c4397771c51352e965", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/check_extension.py": "3aff061550fe24749bf557de0a342ef346d90b60b3615e2e47f31ff08c50429d", + "annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md": "df76e7ff4b532bfab58a9aea5ce7d29493305a76013ef6cd20fb38b7ad2dde01", + "annex/general-completion/replay.py": "0676ee1bb3fac0d2e34546c3d8d57ca048350af371affd7670bcce4c466b579c" + }, + "prior_storage_review_sha256": "b4bc65e423d82e9d01a9150ed50e5df747c3eaecf28e6c8a8615ec1af74cbed1", + "schema": 1 +} diff --git a/research/publication-reviews/borrowed-centre-storage-general-completion/REPLAY-CHECK.json b/research/publication-reviews/borrowed-centre-storage-general-completion/REPLAY-CHECK.json new file mode 100644 index 0000000000..61a2360a34 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage-general-completion/REPLAY-CHECK.json @@ -0,0 +1,22 @@ +{ + "actual_rr_transpose": 56, + "actual_selected_gram": 4, + "exact_converse_controls": 2, + "finite_cases": 500, + "free_polynomial_checks": [ + "both inverse orders", + "unselected rows", + "full query", + "arbitrary selected K", + "compatible projection", + "noncompatible nonprojection control" + ], + "interface_sha256": "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "noncompatible_cases": 400, + "proof_sha256": "df76e7ff4b532bfab58a9aea5ce7d29493305a76013ef6cd20fb38b7ad2dde01", + "qualifications": [ + "For c changed fields the nonlinear proof uses U_c, the n-c retained fields.", + "No native, global controller, or record-hosting replay is performed." + ], + "status": "PASS_GENERAL_COMPLETION_EXTENSION" +} diff --git a/research/publication-reviews/borrowed-centre-storage-general-completion/REVIEW.json b/research/publication-reviews/borrowed-centre-storage-general-completion/REVIEW.json new file mode 100644 index 0000000000..1baa97bba0 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage-general-completion/REVIEW.json @@ -0,0 +1,65 @@ +{ + "accepted_claims": [ + "Two-shear full-query completion for a two-sided unit selected minor without selected-K compatibility", + "Onto-query converse for the stated commutative ring and full-query retained-row contract", + "Exact zero-or-d minimum changed complete output fields when RK=gI and a unit d-field minor is available", + "Actual Gaussian-dyadic modulo-13 minimum is eight changed fields; full realification gives the same field count", + "Nonlinear lower bound only for a well-defined surjective residue map on the complete module" + ], + "annex_manifest_sha256": "b8b01f878ad126435fcf5074a49c15864ff1a522fc9c9988cb4a578afd1c80a3", + "checks_not_run": [ + "New native word, native access schedule, or native cost optimum", + "Nonlinear program or finite-precision implementation", + "Recursive storage or complete supplier invoice", + "Complete kappa calculation", + "Final GitHub object, link, rendering, and published-body readback" + ], + "decisive_checks": [ + "All six source files byte-exact", + "All original104 package files unchanged", + "Standalone optimized cold replay; complete CHECK.json byte match", + "Direct actual residue ranks104/112/8 and full realified ranks208/224/16", + "Both inverse orders, query, retained rows, kernel injection, and four mathematical controls", + "Altered proof rejected before output creation" + ], + "delta_sha256": "2f71f1bc1b65eee0c87c9f2135addf5b53b2a6764a2f74870e0f3848866fa45b", + "independent_human_review": false, + "kappa_improvement": false, + "local_link_targets_checked": [ + "../../borrowed-centre-storage/annex/general-completion/PROOF.md", + "../../borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md", + "SOURCE-CLOSURE.json", + "../../borrowed-centre-storage/annex/general-completion/NOTICE.md", + "COLD-REPLAY.json", + "REPLAY-CHECK.json", + "INDEPENDENT-AUDIT.json" + ], + "original_package_files_unchanged": 104, + "original_package_manifest_sha256": "d0c5d9253a021ed5dbc7e83c68bf268e35784ecfdcfa09b9f7cc673c31bcbec2", + "prior_storage_review_unchanged": true, + "public_review_layout": "research/publication-reviews/borrowed-centre-storage-general-completion", + "retained_qualifications": [ + "Projection repair and the simplified 2-g inverse need selected-K compatibility", + "Use U_c for the n-c unchanged fields in the nonlinear argument", + "No native-child count lower bound; complete cover and payload coordinates are required", + "No obstruction claim after admitting division by13 or restricting input to ker(R)" + ], + "review_artifacts": { + "COLD-REPLAY.json": "8e3c65261d0628c1223068c61c1723f9cebc6bb486251b4453b50e0da6b79015", + "INDEPENDENT-AUDIT.json": "8efb117687330986c5631d33f9a19605348379369c99eb1f0ba944b8fb2d6967", + "INPUT-HASHES.json": "69f7c8071e36c0c86c100a147c1ad265f0f20899321ba745c6e1a6f61ade7acb", + "REPLAY-CHECK.json": "184352d955f5afe23ac733babab4a2e42f03659026d5abee098cc7b29de42be3", + "REVIEW.md": "5b32db32c83961e480c8086bba45c28de26a7d6bb5163967ece72d42f7de1eea", + "SOURCE-CLOSURE.json": "ca1dae14277a0f582028dd4851bfb429348e6f2b21e3917a28b6ad7c49950b08", + "independent_audit.py": "11c8105ee64a2876eb75175da2d95bb02f7af9a2fa426fed2331d626f4641b48" + }, + "review_harness_corrections": [ + "Original104 total includes manifest, which lists103 other files", + "The reversed-factor query equality survives modulo13 since BD=0; the final control checks its retained-row failure" + ], + "review_type": "Independent OpenAI Codex agent proof review, cold replay, and direct matrix audit", + "schema": 1, + "source_pins_sha256": "b461bafdba5b6fc0c3adc01a993d952a3dacdf486bc7a8681e83fb3e4e6728d1", + "status": "PASS_SCOPED_GENERAL_COMPLETION_ANNEX_REVIEW", + "unresolved_material_findings": [] +} diff --git a/research/publication-reviews/borrowed-centre-storage-general-completion/REVIEW.md b/research/publication-reviews/borrowed-centre-storage-general-completion/REVIEW.md new file mode 100644 index 0000000000..17db6ab078 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage-general-completion/REVIEW.md @@ -0,0 +1,86 @@ +# Independent review of the general-completion annex + +The annex passes for its stated algebraic claims. This is a separate +review of the added theorem. The earlier storage proof and acceptance +remain unchanged. No material finding remains open. This review used a +separate OpenAI Codex agent. It does not claim independent human review. + +The [proof map](../../borrowed-centre-storage/annex/general-completion/PROOF.md) +and [frozen proof](../../borrowed-centre-storage/annex/general-completion/frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md) +state the accepted result. A unit selected minor gives the two-shear unit +completion for arbitrary selected K. It retains every unselected row +and stores the full query in the selected outputs. Both inverse orders +follow from the support identities. The repair is a split projection +only with the stated selected-K compatibility condition. The simplified +inverse with coefficient 2-g needs that condition and RK=gI. + +The onto-query converse is valid for the finite free modules over the +stated commutative ring. An onto query forces the square readout to be a +unit. The block row operation then forces the selected minor to be a +unit. The two retained controls explain why the onto premise and the +full-query output contract cannot be removed. + +When RK=gI and a unit d-field minor exists, the minimum changed-field +count is zero if 1-g is a unit, and d otherwise. The lower bound permits +any linear unit repair. Reduction at a maximal ideal gives a dN +dimensional kernel. A unit repair must be injective on that kernel, but +c changed complete fields have only cN output coordinates. The explicit +completion gives the matching upper bound. This proves a count of output +fields, not a minimum native-child count. + +For the actual Gaussian-dyadic matrix, the two reductions to F13 give an +exact minimum of eight changed complete fields. The realified argument +uses both sectors and covers dyadic real-linear unit maps. The complete +cover and payload module is required. On ker(R), or after admitting +division by 13, the stated obstruction does not apply. The nonlinear +extension requires a well-defined surjective residue map. Its unchanged +field set is U_c, with n-c fields. The new proof map states this correction +to the historical proof notation. + +The [source closure check](SOURCE-CLOSURE.json) verifies that all six +copied source files equal the original bytes. All 103 files in the old +storage manifest and the manifest itself remain unchanged. The annex +manifest binds its eleven other files. The root delta binds the twelve +annex files separately. The new relative links resolve in the package; +the links from this review use the public research/publication-reviews +layout. Source lanes, predecessor credit, license terms, and AI +assistance remain in the [annex notice](../../borrowed-centre-storage/annex/general-completion/NOTICE.md). + +The [cold replay](COLD-REPLAY.json) ran from an annex copy under +/private/tmp with no Git or network input. The command was: + +```sh +python3 -I -O -B /private/tmp/general-completion-annex-review-20261022/annex/replay.py --out /private/tmp/general-completion-annex-review-20261022/output +``` + +It printed `PASS_BORROWED_CENTRE_GENERAL_COMPLETION_ANNEX`. The complete +new [checker receipt](REPLAY-CHECK.json) equals the frozen receipt byte +for byte. The explicit checker tests remain active under -O. They cover +ordered polynomial inverse identities, all 500 scalar F5 cases with +400 incompatible selected-K cases, two converse controls, and the +actual Gram identities. The wrapper rejected a changed proof file +before creating an output directory. + +The separate [matrix audit](INDEPENDENT-AUDIT.json) imports no source +checker. It obtains the selected inverse by elimination and computes +the actual residue matrices directly. It checks both inverse orders, +all 104 retained rows, the full query, and kernel injection. The ranks +of J, T, and T-J are 104, 112, and 8. The full realified ranks are 208, +224, and 16. The audit rejects a reversed factor order through the +retained rows, an unprojected K in D through rank and query failures, +and a wrong shear sign. An incompatible selected K gives a valid +completion with a nonprojection repair. Its original J is already a +unit, which also checks the zero-change branch. + +Two initial reviewer assertions needed correction. The original package +has 104 files including its manifest, which lists 103 entries. Also, +reversing the shears preserves the query modulo 13 because BD is zero +there; it fails the retained-row contract. The final negative control +tests that failure. Neither correction changed the package or proof. + +No native word, new access schedule, finite-precision implementation, +recursive storage plan, complete supplier invoice, or kappa calculation +ran for this annex. The source local word's eight native line children +are not proved optimal. The selected frontier and complete kappa bound +do not change. Final GitHub object, link, and rendered-body checks belong +to the coordinating publisher and are not claimed by this local review. diff --git a/research/publication-reviews/borrowed-centre-storage-general-completion/SOURCE-CLOSURE.json b/research/publication-reviews/borrowed-centre-storage-general-completion/SOURCE-CLOSURE.json new file mode 100644 index 0000000000..da565a58d2 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage-general-completion/SOURCE-CLOSURE.json @@ -0,0 +1,51 @@ +{ + "free_bytes": 7758331904, + "new_annex_local_links": [ + [ + "README.md", + "PROOF.md" + ], + [ + "README.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md" + ], + [ + "README.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.md" + ], + [ + "README.md", + "SOURCE-PINS.json" + ], + [ + "README.md", + "NOTICE.md" + ], + [ + "PROOF.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/schur-selection/unit-query-review-20261015/GENERAL-COMPLETION.md" + ], + [ + "PROOF.md", + "frozen/work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/general-completion-review/REVIEW.md" + ], + [ + "NOTICE.md", + "SOURCE-PINS.json" + ], + [ + "NOTICE.md", + "../../NOTICE.md" + ], + [ + "NOTICE.md", + "../../notices/LICENSE" + ] + ], + "original_manifest_entries": 103, + "original_manifest_sha256": "d0c5d9253a021ed5dbc7e83c68bf268e35784ecfdcfa09b9f7cc673c31bcbec2", + "original_package_files_unchanged": 104, + "review_harness_correction": "The original 104-file total includes its manifest; the manifest lists 103 other files. An initial count assertion expected 104 entries and was corrected without any package change.", + "six_source_files_byte_exact": true, + "status": "PASS_GENERAL_COMPLETION_SOURCE_CLOSURE" +} diff --git a/research/publication-reviews/borrowed-centre-storage-general-completion/independent_audit.py b/research/publication-reviews/borrowed-centre-storage-general-completion/independent_audit.py new file mode 100644 index 0000000000..8b550ea9d4 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage-general-completion/independent_audit.py @@ -0,0 +1,173 @@ +#!/usr/bin/env python3 +"""Check the actual residue matrices without a source checker import.""" + +import argparse +from fractions import Fraction +from hashlib import sha256 +import json +from pathlib import Path + + +def need(condition, label): + if not condition: + raise ValueError(label) + + +def identity(n): + return [[int(i == j) for j in range(n)] for i in range(n)] + + +def add(a, b, sign=1, p=13): + return [[(x + sign*y) % p for x, y in zip(row, other)] + for row, other in zip(a, b)] + + +def product(a, b, p=13): + out = [[0]*len(b[0]) for _ in a] + for i, row in enumerate(a): + for k, value in enumerate(row): + if value: + for j, other in enumerate(b[k]): + out[i][j] += value*other + return [[x % p for x in row] for row in out] + + +def rank(a, p=13): + rows = [[x % p for x in row] for row in a] + pivot = 0 + for column in range(len(rows[0])): + found = next((i for i in range(pivot, len(rows)) if rows[i][column]), None) + if found is None: + continue + rows[pivot], rows[found] = rows[found], rows[pivot] + scale = pow(rows[pivot][column], -1, p) + rows[pivot] = [(x*scale) % p for x in rows[pivot]] + for i in range(pivot + 1, len(rows)): + scale = rows[i][column] + if scale: + rows[i] = [(x-scale*y) % p for x, y in zip(rows[i], rows[pivot])] + pivot += 1 + if pivot == len(rows): + break + return pivot + + +def inverse(a, p=13): + n = len(a) + rows = [[x % p for x in row] + eye for row, eye in zip(a, identity(n))] + for column in range(n): + found = next((i for i in range(column, n) if rows[i][column]), None) + need(found is not None, "Selected minor must be a unit in the residue field") + rows[column], rows[found] = rows[found], rows[column] + scale = pow(rows[column][column], -1, p) + rows[column] = [(x*scale) % p for x in rows[column]] + for i in range(n): + scale = rows[i][column] if i != column else 0 + if scale: + rows[i] = [(x-scale*y) % p for x, y in zip(rows[i], rows[column])] + return [row[n:] for row in rows] + + +def double_real(a): + """Realify a matrix whose entries are real.""" + width = len(a[0]) + return [row + [0]*width for row in a] + [[0]*width + row for row in a] + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--annex", required=True, type=Path) + parser.add_argument("--out", required=True, type=Path) + args = parser.parse_args() + annex = args.annex.resolve() + need(not args.out.exists(), "Output file must be new") + source = annex / "frozen/work/centre-encoding-campaign-20261014/lanes/circuit-interface/INTERFACE.json" + raw = source.read_bytes() + need(sha256(raw).hexdigest() == "5c6c51fbffc07a683e922f17532fd90262ae9e23cc3560a696002073dd234ef3", + "Actual interface source pin") + rows = json.loads(raw)["R"] + r = [] + for row in rows: + values = [Fraction(row.get(str(j), 0)) for j in range(112)] + r.append([(q.numerator*pow(q.denominator, -1, 13)) % 13 for q in values]) + selected = [0, 7, 20, 27, 36, 46, 57, 111] + other = [j for j in range(112) if j not in selected] + rs = [[row[j] for j in selected] for row in r] + rsi = inverse(rs) + k = [[(r[j][i]*10) % 13 for j in range(8)] for i in range(112)] + need(product(r, k) == identity(8), "Actual RK is I modulo 13") + l = [[row[j] if j in selected else 0 for j in range(112)] for row in r] + g = [[0]*8 for _ in range(112)] + for i, port in enumerate(selected): + g[port] = rsi[i] + d = [[0]*8 if i in selected else row[:] for i, row in enumerate(k)] + b = add(r, l, -1) + eye = identity(112) + gb = product(g, b) + dl = product(d, l) + upper, lower = add(eye, gb), add(eye, dl, -1) + t = product(lower, upper) + ti = product(add(eye, gb, -1), add(eye, dl)) + j = add(eye, product(k, r), -1) + repair = add(t, j, -1) + need(product(t, ti) == product(ti, t) == eye, "Both actual inverse orders") + need(product(l, t) == r, "Actual complete query") + need([t[i] for i in other] == [j[i] for i in other], "All retained actual rows") + changed = [i for i, row in enumerate(repair) if any(row)] + need(changed == selected, "Exactly the eight selected output fields change") + actual_ranks = {"R": rank(r), "K": rank(k), "J": rank(j), "T": rank(t), + "T_minus_J": rank(repair)} + need(actual_ranks == {"R": 8, "K": 8, "J": 104, "T": 112, "T_minus_J": 8}, + "Actual rank and nullity counts") + need(product(j, k) == [[0]*8 for _ in range(112)], "K image is in the J kernel") + need(rank(product(repair, k)) == 8, "Repair is injective on the J kernel") + need(product(repair, repair) == repair, "Actual compatible repair is a projection") + + # These changes must fail the source output contract. + reversed_t = product(upper, lower) + need([reversed_t[i] for i in other] != [j[i] for i in other], "Reversed shears fail retained rows") + wrong_d_t = product(add(eye, product(k, l), -1), upper) + need(rank(wrong_d_t) == 104, "Using all of K in D destroys invertibility") + need(product(l, wrong_d_t) != r, "Using all of K in D destroys the query") + wrong_sign_t = product(add(eye, dl), upper) + need([wrong_sign_t[i] for i in other] != [j[i] for i in other], "Wrong shear sign fails retained rows") + + # Set the selected part of K to zero. The same T still completes J. + incompatible_j = add(eye, product(d, r), -1) + incompatible_repair = add(t, incompatible_j, -1) + need([t[i] for i in other] == [incompatible_j[i] for i in other], "Arbitrary selected K retains U") + need(product(incompatible_repair, incompatible_repair) != incompatible_repair, + "The general repair is not necessarily a projection") + need(rank(incompatible_j) == 112, "The unit branch can need zero changed fields") + + # The actual source matrix is real, so realification is a block diagonal sum. + real_ranks = {"J": rank(double_real(j)), "T": rank(double_real(t)), + "T_minus_J": rank(double_real(repair))} + need(real_ranks == {"J": 208, "T": 224, "T_minus_J": 16}, "Full realified ranks") + need(5*5 % 13 == 8*8 % 13 == 12, "Both Gaussian residue maps") + result = { + "status": "PASS_INDEPENDENT_GENERAL_COMPLETION_ANNEX_AUDIT", + "interface_sha256": sha256(raw).hexdigest(), + "method": "Direct finite-field matrix arithmetic with no source checker imports", + "prime": 13, + "selected_fields": selected, + "actual_ranks": actual_ranks, + "realified_ranks": real_ranks, + "inverse_orders": 2, + "retained_rows": 104, + "kernel_injection_rank": 8, + "negative_controls": ["Reversed factor order breaks retained rows", + "Unprojected K in D gives rank 104 and breaks query", + "Wrong shear sign breaks retained rows", + "Incompatible selected K gives a nonprojection repair"], + "unit_branch_control_rank": 112, + "scope": "Actual residue matrices and contract controls; the general ring claim uses the reviewed proof", + "checks_not_run": ["New native implementation or native cost optimum", + "Global supplier or kappa calculation", "Nonlinear program or finite-precision implementation"], + } + args.out.write_text(json.dumps(result, indent=2, sort_keys=True) + "\n", encoding="utf-8") + print(result["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/publication-reviews/borrowed-centre-storage/COLD-PATH.txt b/research/publication-reviews/borrowed-centre-storage/COLD-PATH.txt new file mode 100644 index 0000000000..be007d73f2 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/COLD-PATH.txt @@ -0,0 +1 @@ +/private/tmp/borrowed-centre-storage-review-20261022 diff --git a/research/publication-reviews/borrowed-centre-storage/COLD-REPLAY.json b/research/publication-reviews/borrowed-centre-storage/COLD-REPLAY.json new file mode 100644 index 0000000000..63475fe93a --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/COLD-REPLAY.json @@ -0,0 +1,101 @@ +{ + "all_104_package_files_checked": true, + "child_working_directory": "/private/tmp/borrowed-centre-storage-review-20261022/output", + "command": [ + "python3", + "-I", + "-B", + "/private/tmp/borrowed-centre-storage-review-20261022/package/replay.py", + "--out", + "/private/tmp/borrowed-centre-storage-review-20261022/output" + ], + "copied_package": "/private/tmp/borrowed-centre-storage-review-20261022/package", + "free_bytes_after": 9087832064, + "fresh_package_replay": { + "adapted_checkers_checked": 7, + "archive_scope": "Exact extracted members are checked. Full historical archives are not replayed.", + "cleanup_bytes_match": true, + "frozen_inputs_unchanged": true, + "masked_payload_matches": true, + "not_checked": [ + "Retained native child kernels", + "Changed masked global owner schedule", + "Mixed-frame target-code retirement", + "Recursive storage and precision", + "Complete supplier or kappa calculation" + ], + "platform": "macOS-26.6.1-arm64-arm-64bit-Mach-O", + "processes_at_once": 1, + "python": "3.14.7", + "scope": "Two all-512 storage witnesses, a local masked unit, and a cleanup conditional on its aligned cut.", + "source_files_checked": 75, + "source_pins_sha256": "d078670e610cb21faac57c5b10b1adad60efee137eab7a4a90a1883928cc231f", + "status": "PASS_BORROWED_CENTRE_STORAGE_PACKAGE", + "steps": [ + { + "name": "borrowed_core", + "returncode": 0, + "seconds": 2.676 + }, + { + "name": "carried_alias", + "returncode": 0, + "seconds": 3.429 + }, + { + "name": "relative_storage", + "returncode": 0, + "seconds": 1.8 + }, + { + "name": "clean_storage", + "returncode": 0, + "seconds": 0.63 + }, + { + "name": "unit_query", + "returncode": 0, + "seconds": 2.063 + }, + { + "name": "masked_producer", + "returncode": 0, + "seconds": 3.302 + }, + { + "name": "masked_review", + "returncode": 0, + "seconds": 4.295 + }, + { + "name": "cleanup_producer", + "returncode": 0, + "seconds": 6.497 + }, + { + "name": "cleanup_review", + "returncode": 0, + "seconds": 8.574 + } + ] + }, + "limits": [ + "The portable replay checks exact archive members; this run does not need Git or full historical archives.", + "Retained native child kernels and the changed masked global caller remain outside this replay." + ], + "nine_output_receipts_match": { + "borrowed-core.json": "edb84efeeffe8b7b9db9f06aff0bc67afc5add80168618ab1382812bcf0dd6f4", + "carried-alias.json": "89344dc27e00e6aaf191a715782aacbee97b9e45dc80ee0ea991497a9f3bd91a", + "clean-storage.json": "6bd878409984dd64eb5361bc61b7a71c4be849bea3ba61ed8814e90e208ac635", + "cleanup-producer.json": "fc6844f816222935219a6b7fb4d8dbdefcb6e9be9c3193355a40080e04f15227", + "cleanup-review.json": "66099ebea558838ff81ef941c7c5a8a6f015afe9ce44579fd080089c8e45a4f7", + "masked-producer.json": "b6ad9e6705aefb35e2f7ed621334151710b2a31765f4c51f76f26641394d2d0a", + "masked-review.json": "140361c521c6a9c8293a48030a7517658ff8ef305234b582768a0d537751ca9f", + "relative-storage.json": "fd841f18eb996e846a5af05c1a607f0b408abf0535c69b64b7864a6713d6ef38", + "unit-query.json": "58620b41e6b6aef4250bea4c4b4e66ab4c8fd03cd8bdd1f438a61377f297e756" + }, + "output": "/private/tmp/borrowed-centre-storage-review-20261022/output", + "parent_cwd": "/Users/aliromman/Projects/IntegerMultiplicationBounds", + "source_package_unchanged": true, + "status": "PASS_INDEPENDENT_STORAGE_COLD_REPLAY" +} diff --git a/research/publication-reviews/borrowed-centre-storage/INDEPENDENT-AUDIT.json b/research/publication-reviews/borrowed-centre-storage/INDEPENDENT-AUDIT.json new file mode 100644 index 0000000000..38662052ea --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/INDEPENDENT-AUDIT.json @@ -0,0 +1,72 @@ +{ + "adapter_diff_matches": true, + "adapter_diffs_checked": 7, + "arbitrary_donor_swap_and_bridge": true, + "imports": "Python standard library only; no package or producer code", + "joint_query_certificate_matches_published_git": true, + "limits": "These checks support the reviewed proofs. They do not admit the changed masked global caller or prove a complete supplier.", + "package_files_checked": 104, + "package_hashes_sha256": "d0c5d9253a021ed5dbc7e83c68bf268e35784ecfdcfa09b9f7cc673c31bcbec2", + "plan_and_five_notices_match_git": true, + "section_check": { + "projected_right_inverse": true, + "projected_support_U": true, + "size": [ + 112, + 8 + ], + "unprojected_non_U_rows": [ + 0, + 7, + 20, + 21, + 27, + 36, + 37, + 46, + 47, + 57, + 76, + 81, + 87, + 92, + 110, + 111 + ] + }, + "source_archive_members_checked": [ + { + "archive": "research/community-frontier1042-audit/selected-replay.tar.gz", + "commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "path": "sources/alias-upstream/DATA-PHASES.json", + "sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + { + "archive": "research/community-frontier1042-audit/selected-replay.tar.gz", + "commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", + "path": 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"status": "PASS_INDEPENDENT_STORAGE_PUBLICATION_AUDIT", + "wrong_bridge_baseline_control": true +} diff --git a/research/publication-reviews/borrowed-centre-storage/INPUT-HASHES.json b/research/publication-reviews/borrowed-centre-storage/INPUT-HASHES.json new file mode 100644 index 0000000000..42998f7330 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/INPUT-HASHES.json @@ -0,0 +1,106 @@ +{ + "ADAPTATIONS.json": "f78144d54af7a139b5d623196674ee58efc7f2b2a9ad4454273a2e611725e3cd", + "ADAPTATIONS.patch": "03b956419b402a909697a71334c751cf105089da29be4f66b385f593bc9f4467", + "EVIDENCE.md": "7f5d33f6d357f0483304d1aa5f5ca62e5f763c5aeff629dc2adf4e2ff489d4c8", + "NOTICE.md": "c89f8f3210584f3963d41ca3ea5bae3dc3f96530bb7e553fb7f8227e5a194abf", + "PACKAGE-HASHES.json": "d0c5d9253a021ed5dbc7e83c68bf268e35784ecfdcfa09b9f7cc673c31bcbec2", + "PROOF.md": "aa72734e14abee4ee43aa0b892c760c136169b904c1a42460e889eb4bc4f79be", + "README.md": 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No material error was +found. This is a separate OpenAI Codex agent review. It is not a human +review, a formal proof check, or admission of a complete supplier. + +The review checked the 104-file prepared package whose +`PACKAGE-HASHES.json` has SHA-256 +`d0c5d9253a021ed5dbc7e83c68bf268e35784ecfdcfa09b9f7cc673c31bcbec2`. +The review did not change that package or its frozen evidence. + +## Accepted claims + +The two storage witnesses cover the specified historical 14,336-owner +schedule. Their identities allow arbitrary old donor values. The dirty +transport identity requires the complete intervening helper map T and +the equality T M q0 = M q1. Its output donor value is T a. It does not +make a dirty query read clean. The clean construction swaps the query and +arbitrary donor values, changes each affected bridge read, and restores +both values at swapback. A new query read must preserve the value and +frame needed by swapback. Both constructions retain the source logger. + +The general selected-minor construction is covered. It assumes an +invertible selected minor R_A and K_A = P_A = iota_A R_A^-1. Under those +premises, the two shears give the stated query and complement identities. +The proof also covers the supported mask and general algebraic D map. +Only D = R_U is emitted in the local native word. An algebraic inverse +does not establish admission of its gates between different frames. + +The supported-section necessity proof correctly uses pi_U C^-1 P_A. +For the actual 112 by 112 target code C, this review checked both inverse +orders and L_A C = R_U. The unprojected C^-1 P_A has 16 nonzero rows +outside U. Projection removes those rows and retains R_U pi_U C^-1 P_A = I. +Thus the projection is necessary for the stated support conclusion. +The frozen earlier source is retained; the package proof states the +correction. + +The masked word checks all 712 local input columns, including all 480 +arbitrary helpers. It preserves the helpers and clears its eight owned +private fields. Its complement output retains the stated mixed frames. + +The corrected cleanup is conditional on the specified aligned post-F2 +cut and distinct real-family roles. The proof permits arbitrary donor +baselines and arbitrary input scratch. It uses ordered route words and +one owned C that is cleared before use and at each owner exit. Its real +X1 family values, not private C, persist between owners. It does not +establish the assumed cut in a changed global schedule. + +| Local construction | Accepted added cost | +| --- | --- | +| Relative dirty storage | 274,432 real scalar primitives; no new child or field | +| Clean idle storage | 26,624 real scalar primitives; no new child or field | +| Masked unit | 213,466 real scalar primitives; eight H1 children beyond clean-J | +| Conditional cleanup | 25,124 real scalar primitives; 240 maps; one owned C; no new child | + +These are local template counts. They do not include all address, +control, precision, recursive storage, or cover-multiplicity costs. +There is no complete kappa improvement, optimality claim, global storage +lower bound, or selected-frontier change. + +## Fresh execution and independent checks + +A fresh copy under `/private/tmp` ran the documented package replay with +Python 3.14.7, isolated mode, assertions active, and one child process at +a time. All child working directories were outside the repository. +The replay requires only Python 3.10 or later and the standard library; +it does not require Git or network access. + +```sh +python3 -I -B /private/tmp/borrowed-centre-storage-review-20261022/package/replay.py --out /private/tmp/borrowed-centre-storage-review-20261022/output +``` + +The result was: + +```text +PASS_BORROWED_CENTRE_STORAGE_PACKAGE +``` + +All nine checks passed. Their nine mathematical receipts matched the +retained receipts byte for byte. The replay checked all 75 frozen source +files and all seven adapted checkers. The emitted masked payload and both +cleanup output files matched the frozen evidence. The source package was +unchanged. More than 8 GiB remained free after the run. + +The review read the complete package proof, all seven adapted checkers, +the replay driver, source pins, adapter diff, and retained independent +mask and cleanup reviews. The complete adapter diff was regenerated from +the seven frozen and adapted source pairs and matched exactly. Each edit +is confined to input and output access for the portable package. + +The separate `independent_audit.py` imports no package or producer code. +It checks the actual selected minor and target code with exact rational +arithmetic. It also checks the arbitrary donor swap and bridge identity +on independent symbolic values, and rejects the old bridge source that +leaks the donor baseline. It checks all 112 stage-2 affine route maps: +each is an involution, including its translation. This validates the +equal-route cancellation used by the ordered-word checker for these +actual routes. + +The independent audit read both historical full archives from their +pinned Git objects. All five packaged archive members matched those +objects. The original plan, five retained notices, and consumed joint +query certificate also matched their pinned Git objects. This source +audit is separate from the portable replay, which checks extracted member +bytes and does not need the full archives. + +The fresh nine-check replay includes the retained meaningful controls +for missing jobs, wrong translation or conjugation, repeated donors, +missing swap sign, old bridge read, wrong mask order or sign, omitted +cleanup blocks, a map on private C, and C carried across an owner boundary. + +## Review boundary + +Retained native child kernels were not replayed. The review did not run +a changed masked global owner schedule, retire the mixed-frame target +code, admit B3, prove recursive storage or precision, or calculate a +complete supplier invoice. It did not run broad historical suites or +extend the result to the excluded full-W or two-pair endpoint claims. +Final PR source-link checks and GitHub rendering are the coordinator's +publication checks. + +The fresh receipts are `COLD-REPLAY.json` and `INDEPENDENT-AUDIT.json`. +`INPUT-HASHES.json` records the complete input snapshot. `REVIEW.json` +binds this report and the compact review artifacts by hash. diff --git a/research/publication-reviews/borrowed-centre-storage/full-w-review/ANNEX-LINKS.json b/research/publication-reviews/borrowed-centre-storage/full-w-review/ANNEX-LINKS.json new file mode 100644 index 0000000000..55d3c1343f --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/full-w-review/ANNEX-LINKS.json @@ -0,0 +1,81 @@ +{ + "status": "PASS_NEW_ANNEX_LOCAL_LINKS", + "links": [ + { + "file": "README.md", + "target": "frozen/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/FULL-W-ACCEPTANCE.json", + 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"name": "same_size_frozen_proof_mutation", + "rejected_before_output_creation": true, + "returncode": 1 + } + ], + "omitted": [ + "Raw native kernel suite", + "Clean-owned reference consumer replay", + "Full supplier invoice", + "Git and network source readback" + ], + "prior_review_files_unchanged": true, + "python": "3.14.7 (main, Aug 5 2026, 10:29:49) [Clang 21.0.0 (clang-2100.1.1.101)]", + "receipt_byte_equality": [ + { + "byte_identical_to_frozen_receipt": true, + "name": "composition", + "receipt_sha256": "0e8756bd91a77d29f8dfe521a4d9061f3610b75ef0a8bc57d8942ba4d4050388", + "status": "PASS_ORDERED_DIRTY_RECORD_COMPOSITION" + }, + { + "byte_identical_to_frozen_receipt": true, + "name": "donors", + "receipt_sha256": "4b5d9f7d52df8db7a25d67c645c5b638af08a263b3ce6da69cdf7c20c58a1ce8", + "status": "PASS_INDEPENDENT_TWO_CUT_DONOR_REVIEW" + }, + { + "byte_identical_to_frozen_receipt": true, + "name": "cleanup", + "receipt_sha256": "81de6dd7775ece26df5593ee816a932d497d3bab354a1c90cbd3c5835331c26c", + "status": "PASS_INDEPENDENT_CONDITIONAL_DELAYED_CLEANUP" + }, + { + "byte_identical_to_frozen_receipt": true, + "name": "all-output", + "receipt_sha256": "149b7153d164a747392ad587e18e39d37ec854264fbd2fe80bb7cc68542d1df5", + "status": "PASS_INDEPENDENT_ALL_OUTPUT_DIRTY_NONINTERFERENCE" + } + ], + "replay_receipt_sha256": "186b776a036959eb49ae502a7360f79546e3b969d4bcc2487bb854e7ca4b9e21", + "status": "PASS_COLD_FULL_W_COMPONENT_REVIEW" +} diff --git a/research/publication-reviews/borrowed-centre-storage/full-w-review/INDEPENDENT-COMPONENT-AUDIT.json b/research/publication-reviews/borrowed-centre-storage/full-w-review/INDEPENDENT-COMPONENT-AUDIT.json new file mode 100644 index 0000000000..f4d0e09189 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/full-w-review/INDEPENDENT-COMPONENT-AUDIT.json @@ -0,0 +1,397 @@ +{ + "adapter_profiles_by_cut": [ + { + "1": 90 + }, + { + "1": 71 + }, + { + "1": 39, + "2": 7 + } + ], + "coefficients": { + "capture": { + "add:1": 8 + }, + "cleanup": { + "add:-1": 448, + "add:-1/2": 296, + "add:-1/4": 416, + "add:1": 672, + "add:1/2": 184, + "add:1/4": 416 + }, + "repair": { + "add:-1": 441, + "add:-1/2": 152, + "add:-1/4": 384, + "add:-2": 8, + "add:1": 377, + "add:1/2": 264, + "add:1/4": 384, + "add:2": 8, + "scale:-1": 32, + "scale:-1/2": 6, + "scale:-1/4": 2, + "scale:-2": 6, + "scale:-4": 2, + "scale:1/2": 2, + "scale:1/4": 2, + "scale:2": 2, + "scale:4": 2 + } + }, + "controls": { + "omitted_E_correction_leaves_nonzero_data": true, + "omitted_nonempty_A3_leaves_phase_debt_count": 46, + "wrong_T_error_sign_rejected": true + }, + "direct_adapter_phase_evaluations": 1037568, + "distinct_donors": 128, + "error_support_per_bank": [ + 0, + 7, + 20, + 21, + 27, + 36, + 37, + 46, + 47, + 57, + 76, + 81, + 87, + 92, + 110, + 111 + ], + "limits": "This is a static component audit. The four frozen review replays supply the complete schedule, route, and cleanup checks. No raw native kernel, new child hosting, full supplier invoice, or kappa calculation is run.", + "method": "Read pinned data without producer imports. Count literal operations. Evaluate adapter phases directly on zero, basis, and basis-pair characters. Check the actual rational error map.", + "nonzero_final_adapter_witnesses": [ + { + "character": 131072, + "family": 12381, + "phase": 1, + "role": 24 + }, + { + "character": 131072, + "family": 12380, + "phase": 1, + "role": 25 + }, + { + "character": 131072, + "family": 12379, + "phase": 1, + "role": 26 + }, + { + "character": 512, + "family": 4424, + "phase": 1, + "role": 31 + }, + { + "character": 8589934592, + "family": 1009, + "phase": 1, + "role": 40 + }, + { + "character": 8589934592, + "family": 936, + "phase": 1, + "role": 41 + }, + { + "character": 8589934592, + "family": 935, + "phase": 1, + "role": 42 + }, + { + "character": 8192, + "family": 4466, + "phase": 1, + "role": 48 + }, + { + "character": 262144, + "family": 4453, + "phase": 1, + "role": 49 + }, + { + "character": 4194304, + "family": 4445, + "phase": 1, + "role": 50 + }, + { + "character": 2097152, + "family": 4443, + "phase": 1, + "role": 52 + }, + { + "character": 1, + "family": 1229, + "phase": 3, + "role": 53 + }, + { + "character": 2199023255552, + "family": 1022, + "phase": 1, + "role": 54 + }, + { + "character": 8589934592, + "family": 999, + "phase": 1, + "role": 55 + }, + { + "character": 34359738368, + "family": 4461, + "phase": 1, + "role": 56 + }, + { + "character": 34359738368, + "family": 4456, + "phase": 1, + "role": 57 + }, + { + "character": 1073741824, + "family": 4441, + "phase": 1, + "role": 58 + }, + { + "character": 549755813888, + "family": 4431, + "phase": 1, + "role": 59 + }, + { + "character": 134217728, + "family": 4425, + "phase": 1, + "role": 60 + }, + { + "character": 2, + "family": 1310, + "phase": 3, + "role": 61 + }, + { + "character": 4, + "family": 1309, + "phase": 3, + "role": 62 + }, + { + "character": 64, + "family": 1308, + "phase": 3, + "role": 63 + }, + { + "character": 16384, + "family": 516, + "phase": 1, + "role": 64 + }, + { + "character": 16384, + "family": 515, + "phase": 1, + "role": 65 + }, + { + "character": 16384, + "family": 514, + "phase": 1, + "role": 66 + }, + { + "character": 16384, + "family": 513, + "phase": 1, + "role": 67 + }, + { + "character": 16384, + "family": 512, + "phase": 1, + "role": 68 + }, + { + "character": 16384, + "family": 511, + "phase": 1, + "role": 69 + }, + { + "character": 16384, + "family": 510, + "phase": 1, + "role": 70 + }, + { + "character": 512, + "family": 4421, + "phase": 1, + "role": 88 + }, + { + "character": 262144, + "family": 1654, + "phase": 1, + "role": 89 + }, + { + "character": 4398046511104, + "family": 222, + "phase": 1, + "role": 90 + }, + { + "character": 8192, + "family": 4460, + "phase": 1, + "role": 100 + }, + { + "character": 512, + "family": 4455, + "phase": 1, + "role": 101 + }, + { + "character": 512, + "family": 4440, + "phase": 1, + "role": 102 + }, + { + "character": 512, + "family": 4439, + "phase": 1, + "role": 103 + }, + { + "character": 1, + "family": 224, + "phase": 3, + "role": 112 + }, + { + "character": 70368744177664, + "family": 200, + "phase": 1, + "role": 113 + }, + { + "character": 70368744177664, + "family": 199, + "phase": 1, + "role": 114 + }, + { + "character": 70368744177664, + "family": 198, + "phase": 1, + "role": 115 + }, + { + "character": 70368744177664, + "family": 197, + "phase": 1, + "role": 116 + }, + { + "character": 70368744177664, + "family": 196, + "phase": 1, + "role": 117 + }, + { + "character": 70368744177664, + "family": 195, + "phase": 1, + "role": 118 + }, + { + "character": 70368744177664, + "family": 1029, + "phase": 1, + "role": 125 + }, + { + "character": 2251799813685248, + "family": 1016, + "phase": 1, + "role": 126 + }, + { + "character": 2251799813685248, + "family": 1015, + "phase": 1, + "role": 127 + } + ], + "peak_live_donors": 48, + "procedure_bills": { + "capture": 64, + "cleanup": 23780, + "repair": 20258 + }, + "procedure_counts": { + "capture": { + "add": 8 + }, + "cleanup": { + "add": 2432, + "clear": 18, + "map": 224, + "private_begin": 2, + "private_end": 2 + }, + "repair": { + "add": 2018, + "clear": 9, + "line": 112, + "map": 240, + "private_begin": 1, + "private_end": 1, + "scale": 56 + } + }, + "source_pins": { + "work/centre-encoding-campaign-20261014/lanes/paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz": "a5ed85fac5ebf3c091482a113ab0d351eb5a7892fe2841a35e16017ec1ff49f7", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/FULL-W-ACCEPTANCE.json": "52c5e22c14460c7db14d3aa1faef20de74de69301c8dfb13cd217c5d2d45ca1b", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/TWO-CUT-DONORS.json": "1769aa102c41b5d81dfc463a64eacb6742601b52c30d566ed0222d8ac99e2d70", + "work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/consumer/DIRTY-CONSUMER-WORD.json": "4d2c2ec96d2f9978df0396ce66d6640a061459fbf9f84b10fd7f0556c7117e6c" + }, + "status": "PASS_INDEPENDENT_FULL_W_COMPONENT_AUDIT", + "totals": { + "cover_maps": 8192, + "full_replacement_bridge_scalar_allowance": 559104, + "native_profile": { + "1": 3784, + "2": 7 + }, + "native_rank_mass": 3798, + "native_wrappers": 7582, + "procedure_scalar_allowance": 705632, + "scalar_components_including_full_replacement_bridges": 1264736 + } +} diff --git a/research/publication-reviews/borrowed-centre-storage/full-w-review/INPUT-HASHES.json b/research/publication-reviews/borrowed-centre-storage/full-w-review/INPUT-HASHES.json new file mode 100644 index 0000000000..0c2a1b37f5 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/full-w-review/INPUT-HASHES.json @@ -0,0 +1,12 @@ +{ + "ADAPTATIONS.json": "2af0748e986f35244f0392470b51d10efce508bc503f115524f2586f15cd0feb", + "ADAPTATIONS.patch": "e54810d0855967db41553f306ed9c3fe1a81b1c0b00c59864c22ac3a71358dd2", + "NOTICE.md": "f13bd50a86f73a6829d45358f632e6a7a89dcaaf07a3bfd403b4da35418f16aa", + "PACKAGE-SHA256.json": "6e193418eb5479545c23eff190a54b79ebbb28a00c0c2840ec53aeaf4b09f571", + "PROOF.md": "c80022415f6aecd96d6c751aa7aeba9ff9d0a9b23106623437eafe9745c2d9bf", + "README.md": "1cd22503de1c23dbfd2494e0bb31bcf5029924f45490cbb4e4fce7a83d78948d", + "SOURCES.json": "257c956a243d06d06e2acf3831e93dcab9f76ca65390015780c8b7ffe264e98b", + "VALIDATION.json": "3f711475caf5de3953bb137fff469c5fb595a36e7ebec0e990ce2ce9570012e5", + "evidence/REPLAY.json": "68f7c0204f8ceb44d2155d113b1288f978976bc0e674fabd3be9162c06e189be", + "replay.py": "2ab97a5315babf2ce6f62ce92e4fe5c75e66936fe340c5ebaa22fe6d56a637d1" +} diff --git a/research/publication-reviews/borrowed-centre-storage/full-w-review/REPLAY.json b/research/publication-reviews/borrowed-centre-storage/full-w-review/REPLAY.json new file mode 100644 index 0000000000..4cd52cdfe4 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/full-w-review/REPLAY.json @@ -0,0 +1,67 @@ +{ + "status": "PASS_FULL_W_COMPONENT_ANNEX", + "source_manifest_sha256": "257c956a243d06d06e2acf3831e93dcab9f76ca65390015780c8b7ffe264e98b", + "adaptations_sha256": "2af0748e986f35244f0392470b51d10efce508bc503f115524f2586f15cd0feb", + "source_files_unchanged": true, + "checks": [ + { + "name": "composition", + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-O", + "-B", + "/private/tmp/full-w-component-review-20261022/output/composition/work/centre-encoding-campaign-20261014/lanes/portable-source-codes/dirty-record-hosting-20261015/algebra/composition-review/check_composition.py" + ], + "receipt_sha256": "0e8756bd91a77d29f8dfe521a4d9061f3610b75ef0a8bc57d8942ba4d4050388", + "status": "PASS_ORDERED_DIRTY_RECORD_COMPOSITION", + "byte_identical_to_frozen_receipt": true, + "elapsed_seconds": 0.97 + }, + { + "name": "donors", + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-O", + "-B", + "/private/tmp/full-w-component-review-20261022/output/donors/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/review_donors.py", + "--out", + "/private/tmp/full-w-component-review-20261022/output/donors/work/centre-encoding-campaign-20261014/lanes/source-domain/two-cut-donor-review/REVIEW.json" + ], + "receipt_sha256": "4b5d9f7d52df8db7a25d67c645c5b638af08a263b3ce6da69cdf7c20c58a1ce8", + "status": "PASS_INDEPENDENT_TWO_CUT_DONOR_REVIEW", + "byte_identical_to_frozen_receipt": true, + "elapsed_seconds": 2.948 + }, + { + "name": "cleanup", + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-O", + "-B", + "/private/tmp/full-w-component-review-20261022/output/cleanup/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/delayed-dirty-cleanup/check_review.py" + ], + "receipt_sha256": "81de6dd7775ece26df5593ee816a932d497d3bab354a1c90cbd3c5835331c26c", + "status": "PASS_INDEPENDENT_CONDITIONAL_DELAYED_CLEANUP", + "byte_identical_to_frozen_receipt": true, + "elapsed_seconds": 7.589 + }, + { + "name": "all-output", + "command": [ + "/opt/homebrew/opt/python@3.14/bin/python3.14", + "-I", + "-O", + "-B", + "/private/tmp/full-w-component-review-20261022/output/all-output/work/centre-encoding-campaign-20261014/lanes/residual-syndrome/physical-algebra/review-gauss/all-output-dirt/check_review.py" + ], + "receipt_sha256": "149b7153d164a747392ad587e18e39d37ec854264fbd2fe80bb7cc68542d1df5", + "status": "PASS_INDEPENDENT_ALL_OUTPUT_DIRTY_NONINTERFERENCE", + "byte_identical_to_frozen_receipt": true, + "elapsed_seconds": 3.799 + } + ], + "scope": "Four component reviews; no complete supplier or kappa claim." +} diff --git a/research/publication-reviews/borrowed-centre-storage/full-w-review/REVIEW.json b/research/publication-reviews/borrowed-centre-storage/full-w-review/REVIEW.json new file mode 100644 index 0000000000..b92ed372d6 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/full-w-review/REVIEW.json @@ -0,0 +1,79 @@ +{ + "annex_manifest_sha256": "6e193418eb5479545c23eff190a54b79ebbb28a00c0c2840ec53aeaf4b09f571", + "changes_to_package_or_frozen_sources": false, + "checks_not_run": [ + "Original raw native kernel and QQ16 helper suites", + "Original local repair replay", + "Clean-owned full-W reference consumer replay", + "Fresh Git or remote primary-source readback", + "New recursive child hosting and child workspace proof", + "Finite stream/address/controller realization and full precision invoice", + "Other three-pair target map and complete supplier/kappa calculation", + "Final GitHub object, rendered Markdown, and published-body readback" + ], + "claims_accepted": [ + "All14336 old-field outputs equal the same full-W clean-owned-record reference on the same original inputs", + "Only3584 protected first-pair target outputs are identified; the other10752 target outputs remain open", + "The local and donor contracts permit arbitrary correlated data and donor baselines", + "128 distinct old donor families, peak48 live fields, and no new owned record families", + "The stated local component invoice includes all three adapters and the full replacement bridge bill" + ], + "component_totals": { + "cover_maps": 8192, + "full_replacement_bridge_scalar_allowance": 559104, + "native_profile": { + "1": 3784, + "2": 7 + }, + "native_rank_mass": 3798, + "native_wrappers": 7582, + "procedure_scalar_allowance": 705632, + "scalar_components_including_full_replacement_bridges": 1264736 + }, + "date": "2026-10-22", + "findings": [], + "fresh_checks_run": [ + "All66 source files compared byte for byte with original campaign files", + "All76 annex manifest members and exact file set checked", + "Cold relocated replay: composition, donors, both cleanup words, and independent all-output trace; all four full receipts byte-identical", + "Portable adaptation diff regenerated; every AST node except ROOT unchanged", + "Independent literal operation and donor-lease counts", + "Actual rational T-minor Gram and error-map signs checked", + "1037568 direct evaluations of384 quadratic native adapter recipes", + "Source-mutation and inside-annex-output rejection before output creation", + "All104 original parent-package files, original accepted parent review, and prior general-completion annex preserved", + "All15 new local annex links resolve" + ], + "inherited_contracts": [ + "Complete two-sided arbitrary-input raw core and helper outputs", + "Original local eight-record repair", + "Clean-owned full-W reference consumer and its first-pair target map", + "Retained native-interface and route identities" + ], + "negative_controls": [ + "The four retained checkers execute their declared order, view, parking, phase, and cleanup controls", + "Wrong T-error sign leaves nonzero query error", + "Missing E correction leaves a data error", + "Each of46 nonempty final A3 adapters has a nonzero phase witness", + "Same-size frozen proof mutation rejected before output creation", + "Output inside annex rejected before output creation" + ], + "review_files": { + "ANNEX-LINKS.json": "99ee798416b185dceeb765b6fb3cc2d3e9917c26872a868baf29e69f07e31776", + "COLD-REPLAY.json": "62873407c809f29b7b98da15dd696d3be9c6c9ae3d5b21ae4b3875bf1fa43143", + "INDEPENDENT-COMPONENT-AUDIT.json": "b6d6d74933165e6531cf9f34ffab3067c0ec4622704d59d16e4fbb9c2f88cee1", + "INPUT-HASHES.json": "ea14b382f6e5621821876e727a30cb5a120d581a0609eaa40b3a816bf47e4265", + "REPLAY.json": "186b776a036959eb49ae502a7360f79546e3b969d4bcc2487bb854e7ca4b9e21", + "REVIEW.md": "c609d633ba11aae9290208596f11425178b5dd21ebc6a99125f0c2d7375307ab", + "SOURCE-CLOSURE.json": "88082d5ad6a99871098c987d6635ea9b20f305ec160da3bce76a14002a607144", + "all-output-CHECK.json": "149b7153d164a747392ad587e18e39d37ec854264fbd2fe80bb7cc68542d1df5", + "cleanup-CHECK.json": "81de6dd7775ece26df5593ee816a932d497d3bab354a1c90cbd3c5835331c26c", + "composition-CHECK.json": "0e8756bd91a77d29f8dfe521a4d9061f3610b75ef0a8bc57d8942ba4d4050388", + "donors-CHECK.json": "4b5d9f7d52df8db7a25d67c645c5b638af08a263b3ce6da69cdf7c20c58a1ce8", + "independent_component_audit.py": "b99f712e8ad83e9fbc53b758b620d878401f0b9c6f94fd96a127d4cee6b6db3d" + }, + "reviewer": "Independent OpenAI Codex agent; not human peer review", + "runner_sha256": "2ab97a5315babf2ce6f62ce92e4fe5c75e66936fe340c5ebaa22fe6d56a637d1", + "source_manifest_sha256": "257c956a243d06d06e2acf3831e93dcab9f76ca65390015780c8b7ffe264e98b", + "status": "PASS_SCOPED_FULL_W_COMPONENT_ANNEX_REVIEW" +} diff --git a/research/publication-reviews/borrowed-centre-storage/full-w-review/REVIEW.md b/research/publication-reviews/borrowed-centre-storage/full-w-review/REVIEW.md new file mode 100644 index 0000000000..ee47dcc16f --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/full-w-review/REVIEW.md @@ -0,0 +1,111 @@ +# Full-W component publication review + +Accepted within the stated component scope. No material defect remains. +This is a separate AI-agent review of the frozen publication annex. It is +not human peer review or a formal proof of the complete multiplication +algorithm. + +The reviewed [annex](../../../borrowed-centre-storage/annexes/full-w-component/README.md) +has manifest SHA256 +`6e193418eb5479545c23eff190a54b79ebbb28a00c0c2840ec53aeaf4b09f571`. +The [source list](../../../borrowed-centre-storage/annexes/full-w-component/SOURCES.json) +has SHA256 `257c956a243d06d06e2acf3831e93dcab9f76ca65390015780c8b7ffe264e98b`. +[SOURCE-CLOSURE.json](SOURCE-CLOSURE.json) records the exact source and +preservation checks. [REVIEW.json](REVIEW.json) binds this review and its +evidence. + +The accepted result compares the dirty-record word with the same full-W +consumer that uses clean owned records, on the same old productive +inputs. Their final contents agree on all 14,336 old fields. The target +transform is identified for only the 3,584 protected first-pair fields. +The clean reference's target map on the other 10,752 fields remains open. +The result does not say that those outputs have no dependence on the +original productive donor inputs. + +The local premise is `d=z+E h`, `r=h+G z`, and `G E=0`. Cleanup first +subtracts `G d` from r. It then subtracts `E r` from d, using the updated +r. This gives r=h and d=z for arbitrary correlated data and donor values. +The actual selected T minor has Gram matrix `4I`; the checked signs give +`R0 E_X=0` and `E_Y=-E_X`. Thus the source alias removes E before the +ordered stage-2 query. A clean donor input is not a premise. + +Whole-pair parking, the actual owner bindings, and the native phases are +required. The first swap moves all 224 data fields before F2. The complete +helper and idle endpoints bring them to the common stage-2 cut. The donor +views and all three adapters supply the two required native intervals. +The final donor return occurs before A3. The resulting donor value is its +old required native output, not its literal initial array. The fresh +phase checks find 46 nonempty final adapters that remove a nonzero phase +difference. + +The all-output argument is an induction over the complete ordered word. +It keeps temporary data errors and live donor differences separate. No +active input or other scalar operation reads these channels before their +required cleanup. Complete helper endpoints preserve the stated separate +field action. This premise gives no access at an internal helper cut. +Cleanup removes the data error, and A3 removes the donor phase difference. +The extra difference is zero before the final X lines and common cover +correction. This proof uses exact route and quadratic phase identities; +it is not a test on constant-cover arrays or a dense 14,336-field matrix. + +The literal component invoice agrees with the frozen acceptance: + +| Item | Count | +| --- | ---: | +| Distinct old donor families | 128 | +| Peak live donor fields | 48 | +| New owned record families | 0 | +| Native child profile | `3784 H1 + 7 H2` | +| Native rank mass | 3,798 | +| Native affine wrappers | 7,582 | +| Cover maps | 8,192 | +| Capture, repair, and cleanup scalar allowance | 705,632 | +| Full replacement bridge scalar allowance | 559,104 | +| Total scalar component allowance | 1,264,736 | + +The bridge cost replaces the old bridge bill. The rank mass is not the +full cost of the recursive children. Retained raw calls, old helper and +idle work, the final common cover correction, new child hosting, finite +streams and addresses, and precision remain outside this invoice. No +productive-width credit or complete kappa improvement follows. + +The cold replay used a copy under `/private/tmp`, with no Git checkout, +network access, or external Python package. The wrapper and all four jobs +ran with `-I -O -B`, one at a time. The result was +`PASS_FULL_W_COMPONENT_ANNEX`. The full composition, donor, cleanup, and +all-output receipts each equal their frozen source bytes. The cleanup job +checks both retained literal words. It does not rerun the original repair +or raw native kernels. [COLD-REPLAY.json](COLD-REPLAY.json) records the exact +command, receipt hashes, and checks. + +The separate [static audit](INDEPENDENT-COMPONENT-AUDIT.json) imports no +producer or earlier checker. It recounts the literal operations and donor +leases. It checks the actual rational error map and performs 1,037,568 +direct phase evaluations across the 384 adapter recipes, using zero, +basis, and basis-pair characters. These characters determine each stated +quadratic phase. Wrong T-error signs leave a query error. Omission of the +E correction leaves a data error. Omission of each nonempty A3 leaves a +phase difference. The retained replay also executes its source-specific +controls for wrong views, wrong operation order, and incomplete parking. + +Two package controls also pass. Output inside the annex is rejected before +creation. A same-size change to a frozen proof is rejected before output +creation. All 66 retained sources equal the original campaign bytes. The +exact 6,095,634-byte archive is retained. The portable composition checker +changes only the ROOT assignment; the exact patch and every other AST +node agree. All 104 original parent-package files and the prior parent +review files remain unchanged. The 15 new local annex links resolve. + +The source-lane credit, historical review status, and parent license +notices remain present. The older composition note's pending-review text +is preserved as history; the later acceptance pins the completed donor +and all-output reviews. No source or accepted parent file was edited. + +The original raw-core and helper contracts, local repair, and clean-owned +full-W reference remain inherited premises. Their large suites were not +rerun. No fresh Git or remote source readback, new child-hosting proof, +complete precision analysis, full supplier invoice, or kappa calculation +was performed. The coordinator must check final commit-pinned links, +GitHub rendering, and the published body. 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6272, + "exact_eight_plus_eight_count": 0, + "replica": 15 + } + ], + "checker_sha256": "7fca5ad623555ecf85248ace1e0464122462b10e883eccc1430681c2e21c79dd", + "primary_conditional_complete_added_native_mass": 3798, + "primary_conditional_complete_added_native_profile": { + "1": 3784, + "2": 7 + }, + "producer_files": { + "TWO-CUT-DONORS.json": "1769aa102c41b5d81dfc463a64eacb6742601b52c30d566ed0222d8ac99e2d70", + "TWO-CUT-DONORS.md": "ee0c5183fcce661b2cf24fc98f52cb40957be4762157a5add82cf5b0edb922fb", + "check_two_cut_donors.py": "3245d746b4b1834233dc3736abf2e1173e4b938d31c0a3403d189bba270c1b41" + }, + "producer_imported_or_executed": false, + "producer_manifest_sha256": "bae5f1cb0f3738b7246be3e26f88c8c872a0e17cf4054b527dc74d25cf2837b0", + "scope": "Fixed old-owner allocation and exact two-cut native transport. Local repair and full-W cleanup are pinned premises. New recursive child hosting, stream/precision invoice, other data outputs and supplier gain remain open.", + "source_reconstruction": { + "complete_pending_partitions": 35840, + "new_cleanup_cuts": [ + 19, + 22, + 33, + 36, + 53, + 56, + 79, + 82, + 111, + 114, + 149, + 152, + 187, + 190, + 219, + 222 + ], + "old_events": 482, + "old_helper_jobs": 69120, + "old_idle_suffixes": 7526 + }, + "status": "PASS_INDEPENDENT_TWO_CUT_DONOR_REVIEW" +} diff --git a/research/publication-reviews/borrowed-centre-storage/full-w-review/independent_component_audit.py b/research/publication-reviews/borrowed-centre-storage/full-w-review/independent_component_audit.py new file mode 100644 index 0000000000..0edd1cf9d7 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/full-w-review/independent_component_audit.py @@ -0,0 +1,159 @@ +"""Check the frozen component counts, error map, and adapter phases.""" + +import argparse +from collections import Counter +from fractions import Fraction as F +import gzip +import hashlib +import json +from pathlib import Path + + +def need(value, label): + if not value: + raise ValueError(label) + + +def main(): + parser = argparse.ArgumentParser() + parser.add_argument("--annex", type=Path, required=True) + parser.add_argument("--out", type=Path, required=True) + args = parser.parse_args() + root = args.annex / "frozen" + lanes = root / "work/centre-encoding-campaign-20261014/lanes" + dirty = lanes / "portable-source-codes/dirty-record-hosting-20261015" + pins = {} + + def read(path): + data = path.read_bytes() + pins[str(path.relative_to(root))] = hashlib.sha256(data).hexdigest() + return json.loads(gzip.decompress(data) if path.suffix == ".gz" else data) + + word = read(dirty / "consumer/DIRTY-CONSUMER-WORD.json") + donors = read(dirty / "TWO-CUT-DONORS.json") + cert = read(lanes / "paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz") + acceptance = read(dirty / "FULL-W-ACCEPTANCE.json") + selected = sorted(donors["allocations"]["all"]["selected"], key=lambda r: r["role"]) + need([r["role"] for r in selected] == list(range(128)), "All donor roles") + need(len({r["family"] for r in selected}) == 128, "Distinct donor families") + need(all(0 <= r["family"] < 14336 for r in selected), "Old productive donors") + + costs = {"add": {F(1): 8, F(2): 10, F(1, 2): 10, F(1, 4): 12}} + procedure_counts, procedure_bills, coefficients = {}, {}, {} + for name, events in word["procedures"].items(): + count, bill, coeff = Counter(), 0, Counter() + for event in events: + op = event["op"] + count[op] += 1 + if op in ("add", "scale"): + c = F(event["c"]) + coeff[op + ":" + str(c)] += 1 + if op == "add": + need(abs(c) in costs[op], "Declared ADD tariff") + bill += costs[op][abs(c)] + else: + shifts = {F(1): 0, F(2): 1, F(4): 2, F(1, 2): 1, F(1, 4): 2} + need(abs(c) in shifts, "Declared SCALE tariff") + bill += 2 * (shifts[abs(c)] + (c < 0)) + elif op == "clear": + need(event["field"] == "C", "Only owned C is cleared") + bill += 2 + procedure_counts[name] = dict(count) + procedure_bills[name] = bill + coefficients[name] = dict(sorted(coeff.items())) + need(procedure_bills == {"capture": 64, "cleanup": 23780, "repair": 20258}, "Literal scalar bills") + + schedule = word["schedule"] + anchors = [e["old_event"] for e in schedule if "old_event" in e] + need(anchors == list(range(482)), "All old event anchors") + need(len(schedule) == 1506, "Full outer word") + calls = Counter(e["name"] for e in schedule if e["op"] == "call_procedure") + need(calls == {"capture": 16, "repair": 16, "cleanup": 16}, "All procedure instances") + need(all(e["bindings"]["C"] == 14336 for e in schedule if e["op"] == "call_procedure"), "Old owned C0") + swaps = [e for e in schedule if e["op"] == "physical_pair_swap"] + need(len(swaps) == 96 and all(e["ports"] == list(range(112)) for e in swaps), "Full-W swaps") + need(all(e["ordered_scalar_word"] == ["a+=b", "b-=a", "a+=b", "b=-b"] for e in swaps), "Literal scalar swap") + peak = max(sum(8 for r in donors["rows"] if r["capture_after_event"] <= event <= r["cleanup_after_event"]) + for event in range(482)) + need(peak == 48, "Peak donor leases") + + profiles = [Counter(), Counter(), Counter()] + phase_checks, final_debts, witnesses = 0, 0, [] + basis = [1 << j for j in range(73)] + characters = [0] + basis + [basis[j] | basis[k] for j in range(73) for k in range(j)] + for row in selected: + for cut, adapter in enumerate(row["adapters"]): + axes, shift = adapter["axes"], adapter["translation"] + if axes or shift: + need(len(axes) in (1, 2), "Nonempty native adapter rank") + profiles[cut][len(axes)] += 1 + low, high, cross = adapter["phase"] + witness = None + for character in characters: + direct = (sum((character & v).bit_count() % 2 for v in axes) + + 2 * ((character & shift).bit_count() % 2)) % 4 + bits = [j for j in range(73) if character >> j & 1] + packed = sum((low >> j & 1) + 2 * (high >> j & 1) for j in bits) + packed += 2 * sum(cross >> (j * (j - 1) // 2 + k) & 1 for j in bits for k in bits if k < j) + need(direct == packed % 4, "Direct and packed adapter phases") + if direct and witness is None: + witness = {"role": row["role"], "family": row["family"], "character": character, "phase": direct} + phase_checks += 1 + if cut == 2 and (axes or shift): + need(witness is not None, "Final adapter has a nonzero phase") + final_debts += 1 + witnesses.append(witness) + profile = sum(profiles, Counter()) + need(profiles == [Counter({1: 90}), Counter({1: 71}), Counter({1: 39, 2: 7})], "All three adapter profiles") + need(final_debts == 46, "Final phase debts") + native_profile = profile + Counter({1: 16 * (procedure_counts["repair"]["line"] + 112)}) + cover_maps = sum(e["op"] == "donor_cover_map" for e in schedule) + cover_maps += sum(calls[n] * procedure_counts[n].get("map", 0) for n in calls) + scalar = sum(calls[n] * procedure_bills[n] for n in calls) + bridges = len(swaps) * 224 * (3 * 8 + 2) + totals = {"native_profile": dict(sorted(native_profile.items())), + "native_rank_mass": sum(k * v for k, v in native_profile.items()), + "native_wrappers": 2 * sum(native_profile.values()), + "cover_maps": cover_maps, "procedure_scalar_allowance": scalar, + "full_replacement_bridge_scalar_allowance": bridges, + "scalar_components_including_full_replacement_bridges": scalar + bridges} + for key in ("native_rank_mass", "native_wrappers", "cover_maps", "scalar_components_including_full_replacement_bridges"): + need(totals[key] == acceptance[key], "Accepted component count: " + key) + + a, t = cert["A_ports"], cert["T_ports"] + r = [[F(row.get(str(p), 0)) for p in range(112)] for row in cert["R_rows"]] + gram = lambda ports, i, j: sum(r[i][p] * r[j][p] for p in ports) + need(all(gram(t, i, j) == 4 * (i == j) for i in range(8) for j in range(8)), "Actual T minor Gram") + ex = [[F(0) for _ in a] for _ in range(112)] + for j, p in enumerate(a): + ex[p][j] = -1 + for p in t: + for j, q in enumerate(a): + ex[p][j] = sum(r[k][p] * r[k][q] for k in range(8)) / 4 + need(all(sum(r[k][p] * ex[p][j] for p in range(112)) == 0 for k in range(8) for j in range(8)), "Actual R0 E_X is zero") + support = [p for p in range(112) if any(ex[p])] + need(len(support) == 16, "Both-bank error support is32 fields") + wrong = [row[:] for row in ex] + for p in t: + wrong[p] = [-x for x in wrong[p]] + need(any(sum(r[k][p] * wrong[p][j] for p in range(112)) for k in range(8) for j in range(8)), "Wrong T sign leaves a query error") + need(any(ex[p][0] for p in range(112)), "Omitted E correction leaves data dirt") + result = {"status": "PASS_INDEPENDENT_FULL_W_COMPONENT_AUDIT", + "method": "Read pinned data without producer imports. Count literal operations. Evaluate adapter phases directly on zero, basis, and basis-pair characters. Check the actual rational error map.", + "source_pins": pins, "procedure_counts": procedure_counts, + "procedure_bills": procedure_bills, "coefficients": coefficients, + "totals": totals, "distinct_donors": 128, "peak_live_donors": peak, + "adapter_profiles_by_cut": [dict(sorted(p.items())) for p in profiles], + "direct_adapter_phase_evaluations": phase_checks, + "nonzero_final_adapter_witnesses": witnesses, + "error_support_per_bank": support, + "controls": {"wrong_T_error_sign_rejected": True, + "omitted_E_correction_leaves_nonzero_data": True, + "omitted_nonempty_A3_leaves_phase_debt_count": final_debts}, + "limits": "This is a static component audit. The four frozen review replays supply the complete schedule, route, and cleanup checks. No raw native kernel, new child hosting, full supplier invoice, or kappa calculation is run."} + args.out.write_text(json.dumps(result, indent=2, sort_keys=True) + "\n") + print(result["status"]) + + +if __name__ == "__main__": + main() diff --git a/research/publication-reviews/borrowed-centre-storage/independent_audit.py b/research/publication-reviews/borrowed-centre-storage/independent_audit.py new file mode 100644 index 0000000000..e1a0a73624 --- /dev/null +++ b/research/publication-reviews/borrowed-centre-storage/independent_audit.py @@ -0,0 +1,171 @@ +"""Check package sources and the corrected section and donor identities. + +This audit imports no package or producer code. It uses exact rational +arithmetic. OpenAI Codex assisted this review. +""" + +from collections import defaultdict +from fractions import Fraction as F +from hashlib import sha256 +from io import BytesIO +from pathlib import Path +import argparse +import difflib +import gzip +import json +import shutil +import subprocess +import tarfile + + +def need(value, message): + if not value: + raise ValueError(message) + + +def digest(raw): + return sha256(raw).hexdigest() + + +def blob(repo, commit, path): + return subprocess.check_output(["git", "-C", str(repo), "show", commit + ":" + path]) + + +def multiply(left, right): + output = [] + for row in left: + result = defaultdict(F) + for index, coefficient in row.items(): + for column, value in right[index].items(): + result[column] += coefficient * value + output.append({column: value for column, value in result.items() if value}) + return output + + +def identity(n): + return [{i: F(1)} for i in range(n)] + + +def parse(rows): + return [{int(k): F(v) for k, v in row.items()} for row in rows] + + +def apply(columns, value): + result = 0 + while value: + bit = value & -value + result ^= columns[bit.bit_length() - 1] + value ^= bit + return result + + +def main(args): + package = args.package.resolve() + need(shutil.disk_usage(package).free >= 3 * 1024**3, "At least 3 GiB free") + hashes = json.loads((package / "PACKAGE-HASHES.json").read_bytes()) + actual_files = {str(p.relative_to(package)) for p in package.rglob("*") if p.is_file()} + need(actual_files == set(hashes) | {"PACKAGE-HASHES.json"}, "Exact package file set") + for name, expected in hashes.items(): + need(digest((package / name).read_bytes()) == expected, "Exact package bytes: " + name) + adaptations = json.loads((package / "ADAPTATIONS.json").read_bytes()) + changes = [] + for name, entry in adaptations.items(): + original = (package / entry["frozen_source"]).read_text() + revised = (package / "checks" / name).read_text() + need(digest(original.encode()) == entry["source_sha256"], "Exact adapter source") + need(digest(revised.encode()) == entry["adapted_sha256"], "Exact adapted checker") + changes += list(difflib.unified_diff(original.splitlines(keepends=True), revised.splitlines(keepends=True), + fromfile=entry["frozen_source"], tofile="checks/" + name)) + diff = "".join(changes) + need(diff == (package / "ADAPTATIONS.patch").read_text(), "Complete adapter diff") + + pins = json.loads((package / "SOURCE-PINS.json").read_bytes())["files"] + archives = defaultdict(list) + for name, entry in pins.items(): + if "archive_sha256" in entry: + archives[(entry["git_commit"], entry["git_path"], entry["archive_sha256"])].append((name, entry)) + source_checks = [] + for (commit, path, expected), members in archives.items(): + raw = blob(args.repo, commit, path) + need(digest(raw) == expected, "Exact source archive") + with tarfile.open(fileobj=BytesIO(raw), mode="r:gz") as source: + for name, entry in members: + found = [item for item in source.getmembers() if item.name == entry["origin"]] + need(len(found) == 1 and found[0].isfile(), "Unique source member") + value = source.extractfile(found[0]).read() + need(value == (package / name).read_bytes(), "Exact packaged archive member") + source_checks.append({"path": name, "commit": commit, "archive": path, "sha256": digest(value)}) + plan = "sources/alias-upstream/PLAN.json" + entry = pins[plan] + need(blob(args.repo, entry["git_commit"], entry["git_path"]) == (package / plan).read_bytes(), "Exact original plan") + for path in (package / "notices").rglob("*"): + if path.is_file(): + relative = str(path.relative_to(package / "notices")) + need(blob(args.repo, "bce54fb3f895cbe5cd4c0eb477c3afeed100190f", relative) == path.read_bytes(), "Exact contributor or license bytes") + + lanes = package / "sources/work/centre-encoding-campaign-20261014/lanes" + certificate_path = lanes / "paired-package-review/upstream-followthrough-20261015/base/research/joint-query/certificate.json.gz" + certificate_raw = certificate_path.read_bytes() + need(blob(args.repo, "a6e6ad3936f67b8f63b5b68c5e75d540610a65e7", "research/joint-query/certificate.json.gz") == certificate_raw, + "Exact published joint-query certificate") + certificate = json.loads(gzip.decompress(certificate_raw)) + mask_path = lanes / "portable-source-codes/dirty-record-hosting-20261015/masked-query/masked-sum/MASKED-QUERY-PROGRAM.json.gz" + mask = json.loads(gzip.decompress(mask_path.read_bytes())) + r = parse(certificate["R_rows"]) + need(r == parse(mask["R"]), "Same source R") + a, u = set(mask["selected_A"]), set(mask["kept_ports"]) + la = [{p: value for p, value in row.items() if p in a} for row in r] + ru = [{p: value for p, value in row.items() if p in u} for row in r] + pa = [{k: row[p] / 4 for k, row in enumerate(r) if p in row} if p in a else {} for p in range(112)] + c, ci = parse(mask["target_code"]), parse(mask["inverse_target_code"]) + need(multiply(c, ci) == multiply(ci, c) == identity(112), "Both target inverse orders") + need(multiply(la, c) == ru and multiply(la, pa) == identity(8), "Section hypotheses") + unprojected = multiply(ci, pa) + projected = [row if p in u else {} for p, row in enumerate(unprojected)] + outside = [p for p, row in enumerate(unprojected) if p not in u and row] + need(outside, "The unprojected actual section is not supported on U") + need(multiply(ru, projected) == identity(8), "The corrected section is a right inverse") + need(all(not row for p, row in enumerate(projected) if p not in u), "The corrected section is supported on U") + + # The three input symbols are the arbitrary query, donor, and target. + q, donor, target = [F(1), F(0), F(0)], [F(0), F(1), F(0)], [F(0), F(0), F(1)] + def swap(left, right): + left = [x + y for x, y in zip(left, right)] + right = [y - x for x, y in zip(left, right)] + left = [x + y for x, y in zip(left, right)] + return left, [-y for y in right] + parked, stored = swap(q, donor) + changed_target = [t - x for t, x in zip(target, stored)] + need(swap(parked, stored) == (q, donor), "Both arbitrary values return") + need(changed_target == [F(-1), F(0), F(1)], "The bridge reads the query and no donor baseline") + wrong_target = [t - x for t, x in zip(target, parked)] + need(wrong_target != changed_target and wrong_target[1] == -1, "The old bridge read leaks the donor baseline") + + routes = [] + for p in range(112): + event = next(e for e in certificate["programs"]["F_2"] if e[0] == "cover_map" and e[1] == ["L", p]) + record = certificate["map_registry"][event[2]] + g, shift = record["owner_right_matrix_columns"], record["payload_translation_at_identity_owner"] + need(all(apply(g, value) == 1 << i for i, value in enumerate(g)), "Exact linear involution") + need(apply(g, shift) == shift, "Exact affine involution for route-word cancellation") + routes.append(event[2]) + report = {"status": "PASS_INDEPENDENT_STORAGE_PUBLICATION_AUDIT", + "imports": "Python standard library only; no package or producer code", + "package_files_checked": len(actual_files), "package_hashes_sha256": digest((package / "PACKAGE-HASHES.json").read_bytes()), + "adapter_diffs_checked": len(adaptations), "adapter_diff_matches": True, + "source_archive_members_checked": source_checks, + "plan_and_five_notices_match_git": True, "joint_query_certificate_matches_published_git": True, + "section_check": {"size": [112, 8], "unprojected_non_U_rows": outside, "projected_right_inverse": True, "projected_support_U": True}, + "arbitrary_donor_swap_and_bridge": True, "wrong_bridge_baseline_control": True, + "stage2_affine_involutions_checked": len(routes), + "limits": "These checks support the reviewed proofs. They do not admit the changed masked global caller or prove a complete supplier."} + args.out.write_text(json.dumps(report, indent=2, sort_keys=True) + "\n", encoding="utf-8") + print(report["status"]) + + +if __name__ == "__main__": + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--package", required=True, type=Path) + parser.add_argument("--repo", required=True, type=Path) + parser.add_argument("--out", required=True, type=Path) + main(parser.parse_args())