diff --git a/research/g20-global-caller-audit/.gitattributes b/research/g20-global-caller-audit/.gitattributes new file mode 100644 index 0000000000..7467454cb8 --- /dev/null +++ b/research/g20-global-caller-audit/.gitattributes @@ -0,0 +1 @@ +source/** -text diff --git a/research/g20-global-caller-audit/NOTICE b/research/g20-global-caller-audit/NOTICE new file mode 100644 index 0000000000..51f37e0212 --- /dev/null +++ b/research/g20-global-caller-audit/NOTICE @@ -0,0 +1,10 @@ +New G20 global boundary checker, rational port certificates and proof: +Ali Romman with substantial OpenAI Codex assistance. No subagents. Apache-2.0. + +The construction is PR5708, building on PR5679, Dugongue PR5657/5665 and +ai-nanachi PR5512. The local all-address proof is PR5782. Their complete source +attribution and limitations remain in source/PROOF.md, source/NATIVE-README.md, +source/NATIVE-PROOF.md and source/NOTICE-*.md. The controller, native involution, +helper retirement/split, query accounting and positive finite-fee schema are +source contributions. This package claims the separate global boundary audit +and explicit port/interface witnesses, not those constructions. diff --git a/research/g20-global-caller-audit/PROOF.md b/research/g20-global-caller-audit/PROOF.md new file mode 100644 index 0000000000..43ee9fefb4 --- /dev/null +++ b/research/g20-global-caller-audit/PROOF.md @@ -0,0 +1,144 @@ +# The global caller boundary + +This proof concerns PR5708 at 829d01fc031f7323ffcfa423fdfd1f24dcbe3190. +The local native theorem is the explicit dependency from PR5782 at +50e19025f7efdb956bf3bb887da30470efc185ef. Four exact source hashes show that +its word, frames, local result and normalizers are the same inputs. The new +checker imports no predecessor Python implementation. It does not repeat the +native audit's rational elimination or construction search. + +## Exact local interfaces + +The local native proof gives the action on arbitrary F2-valued functions. Let +T_P denote transport by the paired-address involution H_P for projection P. +For each of the 111 ports, the actual entry/exit frames are + +``` +source: full eight-dimensional space -> line L + target: seven-dimensional complement U -> zero frame. +``` + +The checker reads these frames from the emitted word. It checks L perpendicular +to U and constructs an invertible matrix W whose first column spans L and whose +other seven columns span U. It checks both inverse products and +`P_L W = W diag(1,0,...,0)`. The 111 matrices and inverses are in RESULT.json. +Their denominator least common multiple is 4. The full and zero frame identities +are covered by the authenticated native theorem. Thus W sends the local line to +one coordinate and its complement to the other seven coordinates. + +Use the same W on both paired address halves. The paired sums and differences +then obey the same conjugation. Put the first coordinate in the common central +line and the other seven in the block for this stage. Different full stages use +disjoint blocks. The central line plus 18 blocks has dimension 127. Extend each +map by the identity on unused coordinates. The maps remain invertible modulo +any q coprime to 4. Together with the local theorem, q coprime to 12 suffices for +these rational identities. This statement does not choose the compiler's prime +or prove a physical tape tariff. + +Write tau for the central involution and sigma_s for the stage involution. The +local theorem and these actual endpoints give + +``` +x' = T_L T_full x = sigma_s x +y' = T_U y + T_full x = sigma_s y + sigma_s tau x. +``` + +The two address maps commute and square to the identity. Over F2 this block +operator is itself an involution. Therefore the same released local word can +serve either controller orientation; the direction only exchanges the two banks. +This checks a required implication that a scalar RAW endpoint alone cannot give. +The paid port-entry and return records specify the retained route placements. +Their realizability on the retained ROW/spectator domain is still a framework +contract. The explicit W matrices supply the finite algebraic normalizers. + +## Bind every emitted event + +The checker consumes the entire 317004-event stream against the controller and +the exact 14794-event local word. It maps all 685 local roles injectively at each +of 18 calls. The 396 retired originals are exactly 22 helper owners in each of +18 distinct cohorts. There are 11004 retained old originals and 18 new split +inputs, for 11022 independent public inputs. The 48 owned roles are separate. + +Every local ADD, query, free zero-frame map, initialization and erasure has its +exact source position and geometric labels. Both route directions and every +call boundary match. A thin call has one source copy, one paid rank-one query, +one delivery and one owned clear. Its source is unchanged between acquisition +and delivery. Each whole idle uses distinct actual stage blocks and costs seven +times their count. All scalar bridges, swaps and boundary programs are consumed. +No extra or missing stream suffix is allowed. + +A separate forward interpreter starts with 11070 independent scalar symbols, +including arbitrary dirty owned inputs. It checks whole-zero preconditions and +permits erasure only on owned roles. For every query it checks the complete +preceding stream hash, current owner, version, erasure epoch, rank, geometric +detail and RAW coefficient row. Every public output has its own input row; +all owned outputs are zero and all dirty columns vanish. A reverse interpreter +propagates transposed ADDs and erasures from the outputs and obtains the same +complete endpoint. Each direction checks 122544900 binary coefficients through +exact bitmaps. These are scalar checks; the physical argument uses the local +native theorem and the controller calculation below. + +The lifetime census starts at the first ADD into an owned role after a clear and +ends at its next clear. It matches all 2529 recorded episodes, with peak 48 live +roles. There are 864 local episodes and 1665 thin episodes. All 48 banks are +reserved; the peak is not reduced by sequential reuse across calls. The positive +majorant is independently propagated with addition in place of XOR and equals +the source's exact 384-bit integer. + +## Every physical controller coefficient + +Use the group algebra over F2 of commuting involutions tau and sigma_s. A +monomial is the subset of generators that occur an odd number of times. The +checker represents a coefficient by its monomial mask and output-bank index, +and propagates the transpose of the controller in reverse order. A local call +multiplies both adjoint rows by sigma_s, then adds tau times the second to the +first. A thin shear, idle, scalar bridge and boundary have their literal actions. + +The result is exactly the declared diagonal on all 32 banks, with no other +coefficient. This is a formal polynomial identity, not evaluation at sampled +addresses. Substituting the commuting paired-address maps therefore gives the +physical main endpoint on every input function, subject to the stated route and +native contracts. Tensoring every map with a spectator identity preserves it. +Each diagonal mask contains tau. A mask with k stage blocks has target rank +1+7k. Repeating the identity on 111 ports gives all 3552 main targets. + +Every retained helper has actual endpoints full->zero, full->frame508 or +frame508->zero. The local theorem gives their independent function identities; +its normalizers give the two rank-four split halves. The checker derives every +helper rank from those endpoints and verifies a bijection onto all 11022 public +owners. Duplicate owners, missing debits and owned target credit are forbidden. +The complete target/paid rank surplus is 753. + +## Complete finite primitive allowance + +The literal inventory gives 56223 paid queries. Its 253329 scan passes include +all ADD, CLEAR and zero-header passes plus entry/exit allocation charges for all +48 owned banks. Parent parking costs `4*11070*56223 = 2489554440` field passes. +The native dimension allowance is `56223*(32*127^2+8*127^3) = 950348163816`. +All 317004 emitted records are charged as well. + +There are 7548 internal port routes. The actual targets require 7176 external +routes: two for each of 3552 main and 36 split targets. The retained external +allowance is 7320, so it has 144 spare routes from retired partial helpers. This +is a conservative overcharge. The checker derives the required set from actual +target owners and verifies coverage instead of assuming the old constant fits. + +Both directions and both paired address halves of the actual matcher matrices +give `38*72*2 + 76*36*2 = 10944` coefficient terms. Adding these charges gives +952838314401 primitive invocations, exactly the source bound and less than 2^64. +These invocations have positive retained costs. The count is not a machine-time +measurement or a proof that each dense map has unit cost. + +## Limits and remaining work + +This resolves the finite global binding, owned-episode, operator-polynomial, +target-owner and base-fee audit boundary. It does not independently prove the +local native theorem, compiler recurrence, uniform stock allocation, precision +and tape contracts, analytic recovery, or a compatible Gaussian/outer assembly. +The source ordinary saving .003507719059749 is not re-admitted by this audit. +No new kappa or selected-frontier change follows. Independent human scientific +acceptance is pending. + +Ali Romman with substantial OpenAI Codex assistance, no subagents. Apache-2.0. +The G20 construction, controller, native formulas, target splits and ordinary +fee schema retain their original authorship; see NOTICE and frozen notices. diff --git a/research/g20-global-caller-audit/README.md b/research/g20-global-caller-audit/README.md new file mode 100644 index 0000000000..32fd56fffa --- /dev/null +++ b/research/g20-global-caller-audit/README.md @@ -0,0 +1,46 @@ +# Independent G20 global caller audit + +The exact PR5708 global caller passes a separate audit of all 317004 events, +11022 arbitrary public inputs, 48 arbitrary dirty owned inputs, 56223 query +sources and 2529 owned episodes. The checker imports no source implementation. +It complements the local native audit in PR5782. + +The new interface certificate gives all 111 rational port normalizers and their +inverses, with denominator least common multiple 4. It proves that the actual +local endpoints supply the full-stage/central-shear operator used by the global +controller. Reverse propagation checks every coefficient of the controller's +formal polynomial. Independent forward and transpose scalar passes each check +122544900 endpoint coefficients through exact bitmaps. Every target has one +public owner, and every retired target is debited. + +The positive finite bill is 952838314401 primitive invocations. It includes all +parking, owned state, query dimension work, routes and 10944 actual matcher +coefficients. The retained route allowance has 144 spare routes; it covers the +actual target set. This is an audit of a conservative bound, not a speedup or a +new kappa. The [proof](PROOF.md) states the exact dependencies and limitations. + +Run `python3.12 -B scripts/research_package.py --package research/g20-global-caller-audit`. +The package registers normal and optimized checks. RESULT.json contains the +exact receipt, complete port matrices and semantic rejection controls. +VALIDATION.md records the executed validation and export checks. + +Exact construction source: PR5708 at +829d01fc031f7323ffcfa423fdfd1f24dcbe3190. Native proof dependency: PR5782 at +50e19025f7efdb956bf3bb887da30470efc185ef. All 22 frozen source files retain their +bytes and original Git blob/SHA256 bindings. SOURCES.json also binds them to +this branch's own retention commit. Selected frontier .00310045 stays unchanged. +The source ordinary .003507719059749 is not re-admitted here. + +## Open next questions + +1. Can a separate audit prove the ordinary compiler and suspended-instance stock + bound for this exact caller? Use the complete owned reserve of 48 per instance. +2. Can the finite port maps and route placements be lowered under the full + ROW/spectator and tape contract with explicit positive costs? +3. Can a stronger Gaussian construction use this BIT component through a fully + checked outer assembly? A component saving alone does not increase kappa. + +Ali Romman with substantial OpenAI Codex assistance; no subagents. This separate +implementation is not independent human acceptance. Credit Dugongue, ai-nanachi, +the PR5679/5708 construction and all native, controller, compiler and ordinary +predecessors in NOTICE. Apache-2.0. diff --git a/research/g20-global-caller-audit/RESULT.json b/research/g20-global-caller-audit/RESULT.json new file mode 100644 index 0000000000..aeffcdb444 --- /dev/null +++ b/research/g20-global-caller-audit/RESULT.json @@ -0,0 +1,18875 @@ +{ + "events": 317004, + "finite_fee": { + "coefficient_terms": 10944, + "dimension_work": 950348163816, + "extra_retired_route_allowance": 144, + "parking": 2489554440, + "primitive_upper_bound": 952838314401, + "required_target_routes": 7176, + "retained_route_allowance": 7320, + "scans": 253329 + }, + "full_calls": 18, + "independent_inputs": 11022, + "input_columns": 11070, + "limits": [ + "The native proof is an authenticated dependency, not replayed here.", + "Finite physical primitive charges do not prove their tape-time tariffs.", + "Compiler, stock, precision, analytic and compatible outer obligations remain.", + "No new kappa, selected-frontier update or independent human acceptance." + ], + "main_target_ranks": [ + 15, + 15, + 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+++ b/research/g20-global-caller-audit/TASK.json @@ -0,0 +1,91 @@ +{ + "schema_version": 1, + "task_id": "supplier-boundary-audit", + "priority_revision": 8, + "base_commit": "de5ec2e7a6074068452f45b1a191b5c72832df4a", + "original_card": { + "id": "supplier-boundary-audit", + "question": "Does one changed supplier have complete source-bound native, caller, ordinary and outer admission coverage?", + "starting_points": [ + "docs/research/current-priorities.md", + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md" + ], + "methods": [ + "Construct and independently check one source-bound instance of the stated first experiment.", + "Seek an exact counterexample or target-specific complete-budget obstruction to that same proposed change." + ], + "acceptance_gate": "Pin the current sources and one obligation; the historical owner audit is an example, not evidence of a current bug.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_selected_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read revision 8, the selected review and live exact-source handoffs. Then follow this card's bounded first_experiment.", + "scope": "Source-bound orientation only, not a supplier replay or theorem proof." + }, + "first_experiment": "Choose one latest uncovered candidate and build a delta coverage map against the selected review. For P104, #5717 changes owned-lifetime assumptions and #5719 covers exact #5713 causal premises; neither automatically transfers to #5718. For BIT, #5679/#5708 need component admission and compatible outer use. Check controls and exact source identity before reuse; stop with one resolved gap or explicit remaining obligation. A heavy full replay requires a separate serial resource budget.", + "bottleneck_link": "Judge the actual current supplier contract and complete signed target/paid bill; frozen-profile ceilings require an applicability proof.", + "allowed_variations": [ + "One exact source head, helper/cut region or quantified proposition and changed hypothesis; check live handoffs first. Different seeds are not different scopes." + ], + "scope_change_triggers": [ + "Changing source head, helper/cut domain, operation alphabet or caller boundary without recording the new scope.", + "Treating an archived proposal or local numerical pass as complete supplier admission." + ], + "overlap_terms": [ + "supplier admission", + "5717", + "5719", + "5708", + "owned lifetime" + ], + "existing_checks": [ + { + "scope": "PR #4088: author-checked local words, native receipts, owner/phase fill and exact moment.", + "evidence": "research/staged544-mixed-fourth-entry/README.md", + "remaining": "Rebind and validate ordinary/outer admission with all four providers; full mixed release not established.", + "status": "author-checked", + "source_commit": "72d7efc181edb21806a878f174847c96dd410ab0", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "PR #3801: successor scatter-boundary decision package.", + "evidence": "research/scatter-boundary-decision/README.md", + "remaining": "Consult its exact acceptance scope before any new exporter audit; not proof of a selected failure.", + "status": "author-checked", + "source_commit": "911f8800ba7a4b03603ef62c5ffc6240e53cb5fd", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + }, + { + "scope": "Selected PR5599: complete helper-subspace construction and independent caller replay; five framework assumptions remain.", + "evidence": "docs/research/pr-intake-evidence/pr5599-completion/PROOF-REVIEW.md", + "remaining": "The next experiment must identify uncovered source-specific work. Successor archive intake does not transfer this admission.", + "status": "reviewed", + "source_commit": "09dd0965711ca7eeb169057a420abab1c9052137", + "selected_record_sha256": "2a0220e866417774606e0f991e41b9c1d26b1f43b97857238cf478dbc7d330b5" + } + ] + }, + "scope_status": "changed", + "actual_scope": "Independently bind exact PR5708 global events, all input columns, native port interfaces, query descriptors, owned lifetimes, target owners and positive finite bill.", + "scope_change_reason": "Take the released PR5782 remaining global-caller handoff. The local native theorem is retained as an explicit exact-source dependency; no construction search or native audit is repeated.", + "bottleneck_link": "The current G20 BIT proposal needs independent source-to-global and complete-fee coverage before a stronger Gaussian construction can safely use it.", + "budget_minutes": 120, + "stop_rule": "Resolve the exact finite global boundary or report a concrete counterexample; do not infer ordinary or outer admission.", + "outcome": "completed", + "evidence": "PROOF.md, RESULT.json, complete port matrices, independent scalar transpose, formal controller coefficients and semantic rejection controls.", + "author": "Ali Romman with substantial OpenAI Codex assistance", + "ai_assistance": "Substantial OpenAI Codex assistance for the new implementation, exact calculations and proof. No subagents; no independent human acceptance.", + "open_questions": [ + { + "question": "Can a separate audit prove the ordinary compiler and stock theorem for this exact caller?", + "why_it_matters": "Finite global correctness and pricing do not prove uniform suspended-instance closure.", + "first_step": "Use the exact 48-bank reserve and ordinary finite recurrence from the frozen source.", + "blocked_by": "Uniform compiler, stock and precision/tape assumptions remain." + } + ] +} diff --git a/research/g20-global-caller-audit/VALIDATION.md b/research/g20-global-caller-audit/VALIDATION.md new file mode 100644 index 0000000000..d09493a39b --- /dev/null +++ b/research/g20-global-caller-audit/VALIDATION.md @@ -0,0 +1,45 @@ +# Validation record + +CPython 3.12.14 on macOS arm64, standard library only, no subagents. The selected +source-binding baseline passed. The latest source is PR5708 at +829d01fc031f7323ffcfa423fdfd1f24dcbe3190; local native dependency PR5782 is pinned +at 50e19025f7efdb956bf3bb887da30470efc185ef. All 22 source files are authenticated +before data interpretation. No source Python implementation is imported. + +The primary check passed. The registered normal and optimized commands passed +in 8.98 seconds. Both verify all 317004 events, 11070 scalar input columns and +their transpose, 111 exact rational port maps and both inverses, the formal +physical controller, 56223 complete query descriptors, 2529 owned episodes, +all target native labels and the full positive finite fee. Both scalar passes +cover 122544900 coefficients. The peak owned count is 48. The exact positive +majorant has 384 bits. Ten semantic rejection controls pass, including false +query geometry, a stale epoch, wrong route, dirty-input leak, duplicate target, +wrong target normalizer, wrong stage, wrong port complement, missing matcher +term and public erasure. Four actual frozen-source byte corruptions reject +before interpretation; see SOURCE-CONTROLS.json. + +``` +python3.12 -B scripts/research_package.py --package research/g20-global-caller-audit +python3 -B scripts/research_package.py --package research/g20-global-caller-audit --check-only +git diff --check +``` + +The initial metadata draft had undeclared replay inputs and unfinished scaffold +fields. These were corrected before the registered pass. No scientific failure +was suppressed. The final result is an independent implementation from the same +contributing account, not independent human scientific acceptance. + +This check does not rerun the native audit or ordinary interval/threshold engine. +It does not prove uniform compiler, stock, precision/tape or analytic contracts. +No new kappa, selected-frontier change, merge or closure is claimed. Hosted CI +and independent scientific review remain pending. Full-history ancestry checking +is unavailable in this shallow checkout; no automatic history expansion ran. + +Scientific checkpoint: a629595ac0f384fd394300fffdfa86033ec83132. Committed bytes, +executable modes and the official 33-file export pass. A separate export has no +Git directory, has read-only files/directories, and runs with empty PATH. Its +Python 3.12 `-I -O -W error -B` replay passed in 4.08 seconds. All 34 files, +including the export manifest, retained their exact bytes and modes. Only this +validation record changes afterward. Final committed bytes and export are +checked again before submission. Refreshed canonical main remains +de5ec2e7a6074068452f45b1a191b5c72832df4a, priority revision 8. diff --git a/research/g20-global-caller-audit/VERIFY.json b/research/g20-global-caller-audit/VERIFY.json new file mode 100644 index 0000000000..4275367461 --- /dev/null +++ b/research/g20-global-caller-audit/VERIFY.json @@ -0,0 +1,51 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "research/g20-global-caller-audit/source/WORD.json.gz", + "research/g20-global-caller-audit/source/GLOBAL.jsonl.gz", + "research/g20-global-caller-audit/source/GLOBAL-RESULT.json", + "research/g20-global-caller-audit/source/CALLS.json", + "research/g20-global-caller-audit/source/PRIVATE-EPISODES.json", + "research/g20-global-caller-audit/source/SOURCE-DESCRIPTORS.json.gz", + "research/g20-global-caller-audit/source/TARGET-OWNERS.json", + "research/g20-global-caller-audit/source/INVOICE.json", + "research/g20-global-caller-audit/source/LOCAL-RESULT.json", 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"14316470273": 268435456 + }, + { + "14316470273": 536870912 + }, + { + "14316557655": 1073741824 + }, + { + "14316557655": 2147483648 + } + ] +} diff --git a/research/g20-global-caller-audit/source/GLOBAL.jsonl.gz b/research/g20-global-caller-audit/source/GLOBAL.jsonl.gz new file mode 100644 index 0000000000..2290f206fe Binary files /dev/null and b/research/g20-global-caller-audit/source/GLOBAL.jsonl.gz differ diff --git a/research/g20-global-caller-audit/source/INVOICE.json b/research/g20-global-caller-audit/source/INVOICE.json new file mode 100644 index 0000000000..08ed5c4b9b --- /dev/null +++ b/research/g20-global-caller-audit/source/INVOICE.json @@ -0,0 +1,36 @@ +{ + "paid": { + "1": 24723, + "2": 24084, + "3": 1044, + "4": 1026, + "5": 1836, + "6": 180, + "14": 444, + "21": 444, + "28": 444, + "35": 444, + "42": 444, + "49": 444, + "56": 444, + "63": 222 + }, + "targets": { + "4": 36, + "8": 7434, + "15": 444, + "22": 444, + "29": 444, + "36": 444, + "43": 444, + "50": 444, + "57": 444, + "64": 222, + "127": 222 + }, + "originals": 11022, + "owned_allocated": 48, + "owned_output_credit": 0, + "QUERYs": 56223, + "rank_surplus": 753 +} diff --git a/research/g20-global-caller-audit/source/LOCAL-RESULT.json b/research/g20-global-caller-audit/source/LOCAL-RESULT.json new file mode 100644 index 0000000000..29cd42b8ba --- /dev/null +++ b/research/g20-global-caller-audit/source/LOCAL-RESULT.json @@ -0,0 +1,44 @@ +{ + "status": "PASS_G20_CONJUGATION_ALL685_COLUMNS", + "stats": { + "paid": { + "1": 1281, + "2": 1338, + "3": 58, + "4": 57, + "5": 102, + "6": 10 + }, + "operation_counts": { + "ADD": 11824, + "ERASE": 96, + "Q": 2846, + "INIT": 10, + "ZERO_Q": 18 + }, + "owned_allocated": 48, + "owned_live_payload_peak": 48, + "retained_originals": 637, + "positive_majorant_bits": 22, + "positive_majorant": "3189524", + "native_modulus": null + }, + "native_moduli": [ + 101, + 10201 + ], + "cancellation_pairs": 3484, + "conjugations": 45, + "productive_conjugations": 2, + "local_paid_delta": { + "1": 2, + "2": -4, + "3": 2 + }, + "target_delta": {}, + "remaining_common_frame_splits": 0, + "negative_controls": [ + "wrong_conjugation_source", + "invalid_native_rank" + ] +} diff --git a/research/g20-global-caller-audit/source/MATCHER.json b/research/g20-global-caller-audit/source/MATCHER.json new file mode 100644 index 0000000000..55f8d9018d --- /dev/null +++ b/research/g20-global-caller-audit/source/MATCHER.json @@ -0,0 +1,345 @@ +{ + "common_denominator": 4, + "forward": [ + [ + "0", + "0", + "0", + "0", + "1", + "0", + "0", + "0" + ], + [ + "0", + "0", + "1", + "1", + "0", + "-1", + "0", + "0" + ], + [ + "0", + "0", + "1", + "1", + "0", + "1", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "0", + "0", + "1", + "0" + ], + [ + "0", + "0", + "1", + "0", + "0", + "0", + "0", + "1" + ], + [ + "2", + "0", + "0", + "1", + "0", + "0", + "0", + "0" + ], + [ + "0", + "2", + "0", + "1", + "0", + "0", + "0", + "0" + ], + [ + "0", + "0", + "-1", + "0", + "0", + "0", + "0", + "1" + ] + ], + "forward_norm": "3", + "frame": 506, + "inverse": [ + [ + "0", + "-1/4", + "-1/4", + "0", + "1/4", + "1/2", + "0", + "-1/4" + ], + [ + "0", + "-1/4", + "-1/4", + "0", + "1/4", + "0", + "1/2", + "-1/4" + ], + [ + "0", + "0", + "0", + "0", + "1/2", + "0", + "0", + "-1/2" + ], + [ + "0", + "1/2", + "1/2", + "0", + "-1/2", + "0", + "0", + "1/2" + ], + [ + "1", + "0", + "0", + "0", + "0", + "0", + "0", + "0" + ], + [ + "0", + "-1/2", + "1/2", + "0", + "0", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "1", + "0", + "0", + "0", + "0" + ], + [ + "0", + "0", + "0", + "0", + "1/2", + "0", + "0", + "1/2" + ] + ], + "inverse_norm": "2", + "max_numerator_bits": 2, + "nonzero_coefficients": 38, + "physical_tape_price_supplied": false, + "rank": 4, + "local_occurrences": 4, + "global_occurrences": 72, + "paired_address_coefficient_terms_per_call": 76, + "pricing": "Both directions and both paired address halves are charged inside the complete positive normalizer fee.", + "new_target_frame": 508, + "new_target_forward": [ + [ + "1", + "1", + "1", + "1", + "-1", + "-1", + "-1", + "2" + ], + [ + "0", + "-1", + "-1", + "-1", + "-1", + "-1", + "0", + "1" + ], + [ + "-1", + "0", + "0", + "-1", + "-1", + "0", + "-1", + "1" + ], + [ + "0", + "0", + "0", + "-1", + "1", + "0", + "0", + "0" + ], + [ + "1", + "0", + "1", + "0", + "0", + "1", + "1", + "-1" + ], + [ + "0", + "0", + "-1", + "0", + "0", + "1", + "0", + "0" + ], + [ + "-1", + "1", + "0", + "0", + "0", + "0", + "1", + "0" + ], + [ + "0", + "-1", + "0", + "0", + "0", + "0", + "0", + "1" + ] + ], + "new_target_inverse": [ + [ + "1/4", + "1/4", + "-1/4", + "1/4", + "1/4", + "1/4", + "-1/4", + "-1/4" + ], + [ + "1/4", + "0", + "0", + "1/4", + "0", + "1/4", + "1/4", + "-1/2" + ], + [ + "0", + "-1/4", + "1/4", + "0", + "1/4", + "-1/2", + "0", + "1/4" + ], + [ + "0", + "-1/4", + "-1/4", + "-1/2", + "-1/4", + "0", + "0", + "1/4" + ], + [ + "0", + "-1/4", + "-1/4", + "1/2", + "-1/4", + "0", + "0", + "1/4" + ], + [ + "0", + "-1/4", + "1/4", + "0", + "1/4", + "1/2", + "0", + "1/4" + ], + [ + "0", + "1/4", + "-1/4", + "0", + "1/4", + "0", + "1/2", + "1/4" + ], + [ + "1/4", + "0", + "0", + "1/4", + "0", + "1/4", + "1/4", + "1/2" + ] + ], + "new_target_coefficient_terms": 5472, + "new_target_count": 36 +} diff --git a/research/g20-global-caller-audit/source/NATIVE-PROOF.md b/research/g20-global-caller-audit/source/NATIVE-PROOF.md new file mode 100644 index 0000000000..57c84cbea0 --- /dev/null +++ b/research/g20-global-caller-audit/source/NATIVE-PROOF.md @@ -0,0 +1,105 @@ +# All-address implication for the emitted local word + +All matrices in this proof use exact rational entries. Each source frame gives +orthogonal row families B and A, with lengths r and8-r. Let W have columns B +followed by A. The checker verifies orthogonality, both inverse identities and + +``` +P = W diag(I_r,0) W^-1, P^2=P, P^T=P. +``` + +It does this for all636 used frames. Both W and its inverse are retained in the +denominator census. For every one of2,367 directed query descriptors (s,t,k), +let lo,hi order the frame dimensions. The checker verifies + +``` +0 x_i - (P d)_i, +x_(15-i) -> x_(15-i) + (P d)_i. +``` + +It preserves each paired sum and sends the difference vector to `(I-2P)d`. +Since P is idempotent, H_P is an involution. The two nesting identities give + +``` +(I-2P_t)(I-2P_s) = I-2R, +H_R = H_(P_t) H_(P_s). +``` + +The verifier checks the first identity with actual rational matrices for every +directed query. The paired sum/difference calculation proves the second, with +its order. Addition and subtraction recover both halves when2 is invertible. + +Let D be the least common multiple of2 and all denominators in the frame, +residual and normalizer matrices and their inverse/rank witnesses. The complete +census gives D=12. All checked identities hold in Z[1/D], so they reduce modulo +any integer q>1 coprime toD. Inverses remain inverses; each residual remains +conjugate to its stated diagonal projection. This gives a sufficient explicit +guard, including the source calibration moduli101 and10201. It does not assert +that a prime dividingD must fail: a chosen rank witness can add a denominator. +The source's wider prime-selection and native-contract hypotheses remain. + +## Chronological induction on arbitrary functions + +Treat every entry field, including each dirty owned field, as an independent +function with values in F2. Transport by an address permutation M means +`(T_M F)(x)=F(M^-1 x)`; thus `T_M T_N=T_(MN)`. A field at frame f has a +normalized representation as a sum of its entry functions transported by +`H_f H_(entry frame)`, with coefficients in F2. Every current coefficient row +is stored exactly as a bitmap. +For an owned entry with no frame, no frame map can read it before its first clear; +the current-frame checks enforce this, and the clear removes its coefficient. + +A query s->t replaces H_s by H_t using the checked identity above. At an ADD, +both operands must actually have frame f, so their common H_f factors permit +exact XOR of their coefficient rows. A zero row implies the whole function is +zero because the representation is valid for arbitrary independent entries. +It permits ZERO_Q or zero initialization. ERASE removes a whole coefficient row +only on an owned field. These rules preserve the representation at each event. + +After all14,794 events, every frame equals the source's exit frame. The685-row +matrix is zero on all48 owned outputs and dirty input coefficients. On public +outputs it is the identity, with the specified111 shears from columns0..110 to +rows111..221. The checker compares every row exactly. Therefore the source local +endpoint holds as an operator on arbitrary functions, not only at sampled +addresses or on one scalar input vector. The forward source frames and the +involution formula also determine the adjoint; no finite-prime extrapolation is +used. Global composition and physical pricing are outside this local statement. + +## Target normalizers and charges + +For frames506 and508, both products of the emitted forward and inverse matrices +are exactly I. Conjugating P by these matrices gives a diagonal rank4 projection +or its complement. Both rank4 halves therefore have the stated coordinate +normalization. All entries fit the declared denominator4. The old matrices have +38 nonzero coefficients in both directions combined, used72 times on two address +halves: `38*72*2=5472`. The new matrices have76, used36 times on two halves: +`76*36*2=5472`. Total10,944 is the exact coefficient count, not a proof of its +physical tape tariff or the remaining global fees. + +## A discriminating probe control + +The two published address points have difference vectors whose first three +entries are (-22,-17,-13) and(-87,-60,-12). The vector +`v=(-192,289,-53,0,0,0,0,0)` is orthogonal to both. Put +`R=v v^T/123194`. It is a nonzero rank-one orthogonal projection. H_R is a +nonidentity involution and fixes both complete address points. The denominator +is invertible modulo101 and10201, so both modular calibrations also pass for +this false identity candidate. H_R changes the first coordinate unit vector. +The exact matrix/column test rejects it. The control supplies a concrete reason +to retain the algebraic obligations; it alleges no error in the source program. diff --git a/research/g20-global-caller-audit/source/NATIVE-README.md b/research/g20-global-caller-audit/source/NATIVE-README.md new file mode 100644 index 0000000000..86ac0c1c88 --- /dev/null +++ b/research/g20-global-caller-audit/source/NATIVE-README.md @@ -0,0 +1,80 @@ +# G20 rational all-address native audit + +The exact PR5708 local word passes a new rational checker that imports no +predecessor constructor, geometry or replay code. It verifies **636 used frames, +2,367 directed residuals, all14,794 events and all685 input columns**, including +48 arbitrary dirty owned fields. Under the retained paired-address native +contract, the written induction proves the endpoint for every input function +over every odd modulus coprime to12. This guard is sufficient, not minimal. + +Both directions of the frame506 and frame508 normalizers also pass. Their +actual matrix coefficients give **10,944 charged terms**, including both address +halves and all72 old and36 new uses. The local paid histogram, operation counts +and positive majorant3,189,524 match the source exactly. + +This extends the finite native calibrations at101 and10201 with explicit +rational identities and a modulus guard. It is source-specific local operator +coverage, not a new native identity, new κ, global supplier admission or proof +of all inherited assumptions. The source's written native argument is credited. + +## Why the exact check matters + +The verifier constructs a nonidentity rank-one native involution that fixes both +published probe points, even over the rationals. It also fixes them modulo101 +and10201. Its first unit input detects the difference. Thus these two probe +points cannot replace the exact frame and operator argument. This is a control +for the verification method; it is not a counterexample to the source word. + +See [PROOF.md](PROOF.md), [RESULT.json](RESULT.json) and [verify.py](verify.py). +Every actual query must have its current frame and proper residual rank. Each +scalar ADD must use its actual common frame. A free header change must have an +identically zero whole function; a clear must belong to the owned set. The +checker then verifies every final frame and every scalar coefficient, including +all dirty inputs. It checks both normalizer inverses and their diagonal forms. + +## Reproduce + +Use standard-library CPython3.12 from the repository root: + +```sh +python3.12 -B scripts/research_package.py --package research/g20-rational-native-audit +python3.12 -I -O -B research/g20-rational-native-audit/verify.py +``` + +The verifier is read-only and Git-free. Ten semantic controls reject wrong rank, +stale query frame, an unpaid nonzero query, a false contact frame, public erasure, +dirty initialization, each corrupted matcher direction, an omitted address-half +charge and a false target coframe. Source-corruption rejection and sealed replay +are recorded in `VALIDATION.md`. The source bytes match the four exact PR5708 +Git blobs; `ORIGINS.json` records the comparison. Full-history provenance is +unavailable in the shallow checkout. A matching Git blob is not scientific review. + +The proof concerns the supplied local program. It does not recheck the45-step +construction search, global source descriptors, owned episodes, finite primitive +fees, ordinary backend, compiler, precision, stock, tape or analytic recovery. +Those obligations remain. No complete scientific supplier replay, Lean or Docker +run is claimed. The selected frontier remains unchanged. + +## Attribution and coordination + +[Discussion5777](https://github.com/CrocSwap/integer-mult-bounds/discussions/5777) +takes the native/normalizer portion of the released PR5679/5708 review request. +Canonical base `de5ec2e7a6074068452f45b1a191b5c72832df4a`, priority8. +The archived source head is `829d01fc031f7323ffcfa423fdfd1f24dcbe3190`. +Archival merge does not admit the supplier. This changes the supplier-boundary +card to one exact local native implication. + +Credit Dugongue PR5657/5665, ai-nanachi PR5512, Ali Romman PR5679/5708, +and all retained native, helper, controller and ordinary contributors. The +paired-address formula, projector argument and scalar construction are source +results. The new contribution is their independent rational implementation, +complete source-instance coverage, explicit modulus guard and alias control. +Ali Romman with substantial OpenAI Codex assistance; no subagents. This is a +separate checker from the same contributing account, not independent human +acceptance. Apache-2.0. + +## Open next questions + +An independent global audit can now use these exact local contracts. Pin the +same source and check every global source descriptor, owned episode and complete +finite bill. Global stock, compiler and ordinary admission need separate review. diff --git a/research/g20-global-caller-audit/source/NATIVE-RESULT.json b/research/g20-global-caller-audit/source/NATIVE-RESULT.json new file mode 100644 index 0000000000..4bd8e2a267 --- /dev/null +++ b/research/g20-global-caller-audit/source/NATIVE-RESULT.json @@ -0,0 +1,73 @@ +{ + "directed_residuals": 2367, + "local": { + "columns": 685, + "events": 14794, + "operations": { + "ADD": 11824, + "ERASE": 96, + "INIT": 10, + "Q": 2846, + "ZERO_Q": 18 + }, + "owned": 48, + "paid": { + "1": 1281, + "2": 1338, + "3": 58, + "4": 57, + "5": 102, + "6": 10 + }, + "positive_majorant": 3189524, + "public": 637, + "scalar_endpoint_sha256": "39836f3e8dbe361d29eed18dcec833865d616de6e765a292999f92ae68ab172f" + }, + "negative_controls": [ + "rank8_direct_query", + "stale_query_frame", + "unpaid_nonzero_query", + "false_contact_frame", + "public_erasure", + "dirty_initialization", + "missing_inverse", + "false_forward", + "one_address_half_unpaid", + "false_target_coframe" + ], + "normalizers": [ + { + "charged_terms": 5472, + "coefficients": 38, + "count": 72, + "frame": 506 + }, + { + "charged_terms": 5472, + "coefficients": 76, + "count": 36, + "frame": 508 + } + ], + "probe_alias": { + "direction": [ + -192, + 289, + -53, + 0, + 0, + 0, + 0, + 0 + ], + "first_unit_column_rejects": true, + "fixes_both_published_points": true, + "nonidentity_involution": true, + "squared_norm": 123194 + }, + "rational_frames": 636, + "source_head": "829d01fc031f7323ffcfa423fdfd1f24dcbe3190", + "sufficient_modulus_guard": { + "odd_and_coprime_to": 12 + } +} diff --git a/research/g20-global-caller-audit/source/NATIVE-SOURCES.json b/research/g20-global-caller-audit/source/NATIVE-SOURCES.json new file mode 100644 index 0000000000..2c45c44703 --- /dev/null +++ b/research/g20-global-caller-audit/source/NATIVE-SOURCES.json @@ -0,0 +1,42 @@ +{ + "schema_version": 1, + "base_commit": "de5ec2e7a6074068452f45b1a191b5c72832df4a", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "581f8d87008354eb5b869f7ed9de1317ad837ce8", + "sha256": "2a0220e866417774606e0f991e41b9c1d26b1f43b97857238cf478dbc7d330b5" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "3404fbdd5e7529a0674eef26114b5071e4586cec", + "sha256": "ead6cdc9d0af6d58e8a49744d8ec8c7c15e13d2ba93c276c434bcf9b51b93a81" + }, + { + "path": "research/g20-conjugation-admission/LOCAL-RESULT.json", + "usage": "input", + "git_blob": "29cd42b8baa531f2598b9b8894fd514c754ed17c", + "sha256": "ec37bf5ddf743caf6a415bd4ce6fcd9c0f40922f0066ea79f6d2321ee0f18e96" + }, + { + "path": "research/g20-conjugation-admission/MATCHER.json", + "usage": "input", + "git_blob": "55f8d9018ddd4f636228ca1d23bdb88f4477bdfa", + "sha256": "18bbc219f2ead2d2be7d9500ff64a7591f526c624663b47ed2d54ebf77635c78" + }, + { + "path": "research/g20-conjugation-admission/WORD.json.gz", + "usage": "input", + "git_blob": "3877a72d8a15adb03f6492f7d2fd8fa902ecb639", + "sha256": "8dd441fdb9c8923df06eb5ebfda37d03e4539f2305763e688d8c7025d196c4b1" + }, + { + "path": "research/g20-conjugation-admission/prior/prior/prior/source/vendor/g20/inputs/FRAMES.json", + "usage": "input", + "git_blob": "9edf8d95b45a9c9c766a956bfcd3c19cf07bc13c", + "sha256": "0d99fc6b8f45c03dfba5252a03dd9e7fe23be3a7593dfe15368e34da6629a654" + } + ] +} diff --git a/research/g20-global-caller-audit/source/NOTICE-0.md b/research/g20-global-caller-audit/source/NOTICE-0.md new file mode 100644 index 0000000000..accbc28384 --- /dev/null +++ b/research/g20-global-caller-audit/source/NOTICE-0.md @@ -0,0 +1,7 @@ +# Attribution + +Dugongue PR5665 supplies the causal deferred-input theorem, nine G20 cut rows and informal ordinary proposal. The exact proposal files are retained under proposal/. Ali Romman PR5667 supplies the completed predecessor, strict-margin theorem and adapted native, global, ordinary and separate checking code under prior/. PR5662 audits Dugongue PR5657 source refinements and supplies the frame-506 matcher. PR5653 and Dugongue PR5629/5639 supply the prior retirements and snapshots. + +Retain ai-nanachi PR5512; Ali Romman PR5421; DreamingOfClouds PR589 and eumemic PR555; Cinna Davis's native, ROW, controller, cover and ordinary interfaces; rohanarun PR185/199/204; zxv, Jacob Alan Sussman and all cumulative compiler, precision and fixed-tape contributors. Every frozen source notice stays unchanged. INPUTS.json and SOURCES.json bind consumed bytes to exact upstream objects. + +New emitted integration, complete first-read census, separate census check, full replay and documentation: Ali Romman with substantial OpenAI Codex assistance. No independent human review or literature priority claim is made. New material is Apache-2.0. diff --git a/research/g20-global-caller-audit/source/NOTICE-1.md b/research/g20-global-caller-audit/source/NOTICE-1.md new file mode 100644 index 0000000000..54c595408b --- /dev/null +++ b/research/g20-global-caller-audit/source/NOTICE-1.md @@ -0,0 +1,7 @@ +# Attribution + +Dugongue PR5657 supplies the protected-reader and paid SOURCE-refinement construction. Ali Romman PR5662 supplies the source-window audit, literal word and new residual matcher. The full caller and ordinary engines are adapted from Ali Romman PR5653 and retain ai-nanachi PR5512, Ali Romman PR5421/5641/5647/5648 and Dugongue PR5629/5639. + +Retain DreamingOfClouds, eumemic, Cinna Davis, rohanarun, zxv, Jacob Alan Sussman and all native, ROW, controller, compiler, stock, precision, tape and analytic notices. The exact older source/NOTICE.md, predecessor scripts and audited/NOTICE.md remain unchanged. INPUTS.json binds every consumed file to its commit and hash. + +New integration, strict-margin functions and author verification: Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. Separate retained implementations do not constitute independent human scientific acceptance. diff --git a/research/g20-global-caller-audit/source/NOTICE-2.md b/research/g20-global-caller-audit/source/NOTICE-2.md new file mode 100644 index 0000000000..118750333a --- /dev/null +++ b/research/g20-global-caller-audit/source/NOTICE-2.md @@ -0,0 +1,16 @@ +New G20 nine-owned-relation application and publication packaging: +ai-nanachi with substantial OpenAI Codex assistance, Apache-2.0. + +Nine owned capture relations: Ali Romman, PR5421, +head295b00764305694b3c510d3b0bebc2ab024a7809, Apache-2.0. +The relation rows are independently derived from the actual G20 source. + +Private G20 shadow-rank4 source is first published with this package. Its +unchanged predecessor bytes, notices, provenance and cumulative source credit +are retained in vendor/g20. Native BIT source word and helper/controller work +retain DreamingOfClouds/eumemic and each original contributor's attribution. +Completed ordinary composition: rohanarun PR185/199/204; PR4760/4814 application +for ai-nanachi with OpenAI Codex assistance. See SOURCES.json and vendor notices. + +Independent checks included here are separate internal AI implementations; +they do not constitute external human acceptance. diff --git a/research/g20-global-caller-audit/source/ORDINARY-RESULT.json b/research/g20-global-caller-audit/source/ORDINARY-RESULT.json new file mode 100644 index 0000000000..46308272ac --- /dev/null +++ b/research/g20-global-caller-audit/source/ORDINARY-RESULT.json @@ -0,0 +1,333 @@ +{ + "status": "PASS_CONDITIONAL_G20_CONJUGATION_ORDINARY_FIVE_FINITE_LEVELS", + "invoice": { + "paid": { + "1": 24723, + "2": 24084, + "3": 1044, + "4": 1026, + "5": 1836, + "6": 180, + "14": 444, + "21": 444, + "28": 444, + "35": 444, + "42": 444, + "49": 444, + "56": 444, + "63": 222 + }, + "targets": { + "4": 36, + "8": 7434, + "15": 444, + "22": 444, + "29": 444, + "36": 444, + "43": 444, + "50": 444, + "57": 444, + "64": 222, + "127": 222 + }, + "originals": 11022, + "owned_allocated": 48, + "owned_output_credit": 0, + "QUERYs": 56223, + "rank_surplus": 753 + }, + "params": { + "tested": "350771905977/100000000000000", + "uniform": "43846488247/12500000000000", + "cover_gap": "1/100000000000000", + "rho": "1/100", + "v": 2048, + "alpha_gap": "1/281474976710656", + "grid_denominator": 1000000000000000, + "prime_multiplier": 1152921504606846976, + "cutoff": 17, + "floor": 18, + "u": "1/5" + }, + "raw_crossing_independent_exact": { + "lower": { + "saving": "350771905979/100000000000000", + "margin": [ + "11475255049614313197952026960939/2500000000000000000000000000000000000000", + "5737627524807156598976013585453/1250000000000000000000000000000000000000" + ] + }, + "upper": { + "saving": "350771905983/100000000000000", + "margin": [ + "-19663002709020469974662893124883/5000000000000000000000000000000000000000", + "-19663002709020469974662892708333/5000000000000000000000000000000000000000" + ] + }, + "tested": { + "saving": "350771905977/100000000000000", + "margin": [ + "11064316625838975224626564961739/1250000000000000000000000000000000000000", + "44257266503355900898506260266557/5000000000000000000000000000000000000000" + ] + } + }, + "tail": { + "alpha": [ + "6277101735386417892770672258377678307516469114470521942267/6277101735386680763835789423207666416102355444464034512896", + "6277101735386417892770672258377678307516469114470522153959/6277101735386680763835789423207666416102355444464034512896" + ], + "gamma": [ + "6031410240017462198855255845511583372157706249756814561601/6277101735386680763835789423207666416102355444464034512896", + "3015705120008731099427627922755791686078853124878407460015/3138550867693340381917894711603833208051177722232017256448" + ], + "delta": [ + "729214100959020544516473266645152637423338611452937715233/784637716923335095479473677900958302012794430558004314112", + "1458428201918041089032946533290305274846677222905875480065/1569275433846670190958947355801916604025588861116008628224" + ], + "normalized_surplus": "4611685880988434431/633825300118726386766778990592", + "H0": 748422004163100673, + "H1": 525050825750085681680519744370 + }, + "C1": "14030876239/4000000000000", + "finite_backend_levels": [ + { + "level": 1, + "completed_backend": "3507410738409/1000000000000000", + "ordinary_exact": "350771597653659/100000000000000000", + "admitted": "438464497067/125000000000000" + }, + { + "level": 2, + "completed_backend": "438464497067/125000000000000", + "ordinary_exact": "175385951445893/50000000000000000", + "admitted": "3507719028917/1000000000000000" + }, + { + "level": 3, + "completed_backend": "3507719028917/1000000000000000", + "ordinary_exact": "350771905944167/100000000000000000", + "admitted": "3507719059441/1000000000000000" + }, + { + "level": 4, + "completed_backend": "3507719059441/1000000000000000", + "ordinary_exact": "350771905974691/100000000000000000", + "admitted": "1753859529873/500000000000000" + }, + { + "level": 5, + "completed_backend": "1753859529873/500000000000000", + "ordinary_exact": "87692976493749/25000000000000000", + "admitted": "3507719059749/1000000000000000" + } + ], + "admitted": "3507719059749/1000000000000000", + "comparator": "3507410738409/1000000000000000", + "relative_gain": "102773780/1169136912803", + "relative_gain_percent": "10277378000/1169136912803", + "uniform_signed_invoice_improvement": "Relative to PR5679: Tnew=Told; Pnew-Pold=36H1-72H2+36H3. Gain36*(2*2^t-1-3^t)>0 for0max(2^60*N^5,2^(2*H)) avoiding every finitely compiled denominator/rank witness. All QQ matrices and relative SOURCE projectors compiled before choice." + }, + "all_in_fixed_primitive_fee": { + "F": "48*(q+2)^(32*(N+1)^2)*(A(N)+2)^8", + "actual_cost": "F times positive maximum of the retained stream/route/normalizer/completed-backend constants, fixed anew at each finite level. No primitive has cost0 or a claimed universal cost1.", + "parking": "4*(B_N+C_N) positive FIELD passes per child plus initialization/teardown, with C_N<=48*A(N); F dominates their products.", + "bad_classes": "<=32*N^2 ordinary calls charged separately by the retained moment/cover argument." + }, + "stock": { + "reserve": "[B_N*|GL_N(F_q)|*q^(N^2*(w-1))]^D*S_completed_backend", + "D": "floor(log_N ceil(e/w))+1", + "borrowed_digits": "D*(N^2*(w-1)+ceil(log_q(B_N*|GL_N(F_q)|)))+ceil(log_q S_completed_backend)+1 =O_new(w loge)", + "ownership": "All48whole owned banks for EVERY compiled instance, including suspended ones, get distinct tags; full entry/exit CLEAR charged. No ancestor region is swept or external zero stock assumed." + }, + "eventual_threshold": { + "K_j": "At least16 times sum of F*positive retained primitive constants, reserve/adapter bounds and already frozen backend constant completed at all widths by finite fallback.", + "eta_j": "min(rho-a_j,1-rho-a_j,a_j-b_j)>0", + "e_j": "Fresh integer dominating E_backend^(ceil(2/rho)), borrow threshold, ceil((32*K_j/eta_j)^(ceil(8/eta_j)))+2^(ceil(8/eta_j)).", + "scope": "Constructive finite threshold schema under retained native/compiler/ROW/precision/tape premises. Winning uniform program and decimal threshold are not materialized." + } + }, + "strict_margin_range": { + "C_min": "3507410738409/1000000000000000", + "C_max": "351/100000", + "gamma_upper_bound": [ + "6031462414598248316380168568664322484096918825118169345943/6277101735386680763835789423207666416102355444464034512896", + "6031462414598248316380168568664322484096918825118169704375/6277101735386680763835789423207666416102355444464034512896" + ], + "delta_upper_bound": [ + "729220404171570915250588363014296583772121072321337631959/784637716923335095479473677900958302012794430558004314112", + "1458440808343141830501176726028593167544242144642675313517/1569275433846670190958947355801916604025588861116008628224" + ], + "rank_mass_tails": [ + 753, + 25476, + 73644, + 76776, + 80736, + 89916, + 90996, + 90996, + 31524, + 31524, + 31524, + 31524, + 31524, + 31524, + 37740, + 31080, + 31080, + 31080, + 31080, + 31080, + 31080, + 40404, + 30636, + 30636, + 30636, + 30636, + 30636, + 30636, + 43068, + 30192, + 30192, + 30192, + 30192, + 30192, + 30192, + 45732, + 29748, + 29748, + 29748, + 29748, + 29748, + 29748, + 48396, + 29304, + 29304, + 29304, + 29304, + 29304, + 29304, + 51060, + 28860, + 28860, + 28860, + 28860, + 28860, + 28860, + 53724, + 28416, + 28416, + 28416, + 28416, + 28416, + 28416, + 42402, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 28194, + 0 + ], + "tensor_reserve_controls": { + "8": 1024, + "39": 1024, + "48": 2048, + "96": 4096, + "192": 8192, + "384": 16384 + }, + "claim": "Under the retained framework, every ordinary saving strictly below this invoice raw crossing is attainable with fresh finite margins. 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commuting outer maps cancel because each is an involution. +[CANCELLATIONS.json](CANCELLATIONS.json) identifies3,484 such pairs +in three successive source programs. The checker checks every +intervening scalar operation and each owned erasure barrier. + +For distinct a,b,c, let A=`ADD(a,b)`. If B=`ADD(b,c)`, then +`ABA=BC`, where C=`ADD(a,c)`. If B=`ADD(c,a)`, the same relation +holds with C=`ADD(c,b)`. Move A through each commuting contact. +At every noncommuting contact insert its exact correction C. +The last A then cancels the first A. An erasure of either operand +is a barrier. The checker enumerates every noncommuting contact; +an omitted or changed correction rejects. + +The first productive witness replaces two `ADD(385,416)` contacts +with one `ADD(385,89)` correction at frame91. Its intervening +noncommuting contact is `ADD(416,89)`. A sequence of neutral +conjugations then exposes a second productive witness. The complete +ordered list is [REWRITES.json](REWRITES.json). All45 steps preserve +every scalar input column, including arbitrary dirty owned inputs. + +## Native implementation + +Each scalar contact has one actual common frame. The constructor +emits all required frame transitions before that contact. Every +nonzero transition has a proper nested query with rank between1 +and7. [PATHS.json](PATHS.json) contains the route witnesses; the +checker verifies every edge and endpoint by exact rational geometry. +The final construction needs no nonnested native query. + +In the retained paired-address normal form, a frame query from s +to t is the composition of the native involutions for s and t. +Thus the frame maps telescope along each wire. Scalar ADD at one +common frame acts on the normalized payloads. The scalar endpoint, +actual contact frames and exact native edge identities give the +full native endpoint under the retained native contract. Free frame +changes require an identically zero whole payload. Only an owned +field can be erased. Every independent input retains its old +entrance and exit frames, and all48 owned fields return zero. + +The separate forward and adjoint implementations check all685 +columns at101 and10201. These finite checks supplement the exact +normal-form argument. They are not a claim about every prime by +finite enumeration. + +## Productive profile and global caller + +Each of two productive steps changes the local paid polynomial by +`H1-2H2+H3`. The43 other conjugations and the3,484 cancellations +leave it unchanged. The final local counts are +`1281H1+1338H2+58H3+57H4+102H5+10H6`. + +The retained controller makes18 full calls. Consequently + +`Pnew-Pold=36H1-72H2+36H3`, and `Tnew-Told=0`. + +For `01+3^t`. The new moment is strictly better throughout that +interval. This comparison includes the complete caller invoice. +It does not credit a removed target or an owned field. + +The literal caller has11,022 independent inputs,48 owned fields, +56,223 queries,2,529 owned episodes and317,004 events. Its global +endpoint is the identity on all independent RAW inputs and zero +on all dirty owned columns. Each paid query records its exact +program prefix, source bitmap, owner, version and epoch. The +retained physical MAIN polynomial check also runs. + +## Ordinary admission + +Two exact rational interval engines place the raw crossing in +`(.00350771905979,.00350771905983)`. At tested saving +`.00350771905977`, the charged contraction, tail and completion +inequalities hold with reserve `2^-48`. Take uniform saving +`.00350771905976`, cover gap `1e-14` and tensor degree2048. +The strict compiler thresholds are +`H0=748422004163100673` and +`H1=525050825750085681680519744370`. + +The complete finite primitive count is952838314401, below `2^64`. +The emitted global positive majorant has384bits. The fixed matcher +has10,944 charged coefficient terms. The retained1024bit height +envelope therefore covers the fresh word and all target maps. +Parking, owned initialization and teardown, COPY/CLEAR, internal +and whole-job routes, target normalizers, query dimension work, +stock, regular cover and eventual backend thresholds remain paid. + +Starting with PR5679's completed ordinary backend, five finite +acyclic levels admit `.003507719059749`. Each level uses the strict +lower grid and pays its adapter and stock gaps. The independent +engine recomputes the intervals, thresholds, finite levels and +finite fee. The retained signed rank-mass tails and uniform tail +guards also give the strict approach theorem below the raw root. + +The scope remains conditional ordinary BIT. A complete Gaussian +supplier and outer multiplication bill are separate obligations. +No selected-frontier update or independent scientific acceptance +follows from this package. diff --git a/research/g20-global-caller-audit/source/SOURCE-DESCRIPTORS.json.gz b/research/g20-global-caller-audit/source/SOURCE-DESCRIPTORS.json.gz new file mode 100644 index 0000000000..a161b4f136 Binary files /dev/null and b/research/g20-global-caller-audit/source/SOURCE-DESCRIPTORS.json.gz differ diff --git a/research/g20-global-caller-audit/source/TARGET-OWNERS.json b/research/g20-global-caller-audit/source/TARGET-OWNERS.json new file mode 100644 index 0000000000..5721485cc2 --- /dev/null +++ b/research/g20-global-caller-audit/source/TARGET-OWNERS.json @@ -0,0 +1,80798 @@ +[ + { + "original_owner": 0, + "rank": 15, + "matcher": "MAIN_BANK_0", + "port": 0, + "operator": "D_(P_line+selectedorthogonalstageblocks)", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 1, + 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"IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10961, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10962, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10963, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10964, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10965, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10966, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10967, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10968, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10969, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10970, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10971, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10972, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10973, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10974, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10975, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10976, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10977, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10978, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10979, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10980, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10981, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10982, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10983, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10984, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10985, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10986, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10987, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10988, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10989, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10990, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10991, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10992, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10993, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10994, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10995, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10996, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10997, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10998, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 10999, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 11000, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 11001, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 11002, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 11003, + "rank": 8, + "matcher": "IDENTITY_FULL8", + "native_frame": 1, + "route_pair_required_in_generic_job_matching": false + }, + { + "original_owner": 11004, + "rank": 4, + "split": "frame508_to_zero", + "stage": 0, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11005, + "rank": 4, + "split": "frame508_to_zero", + "stage": 1, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11006, + "rank": 4, + "split": "frame508_to_zero", + "stage": 3, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11007, + "rank": 4, + "split": "frame508_to_zero", + "stage": 5, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11008, + "rank": 4, + "split": "frame508_to_zero", + "stage": 7, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11009, + "rank": 4, + "split": "frame508_to_zero", + "stage": 9, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11010, + "rank": 4, + "split": "frame508_to_zero", + "stage": 11, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11011, + "rank": 4, + "split": "frame508_to_zero", + "stage": 13, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11012, + "rank": 4, + "split": "frame508_to_zero", + "stage": 15, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11013, + "rank": 4, + "split": "frame508_to_zero", + "stage": 17, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11014, + "rank": 4, + "split": "frame508_to_zero", + "stage": 19, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11015, + "rank": 4, + "split": "frame508_to_zero", + "stage": 21, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11016, + "rank": 4, + "split": "frame508_to_zero", + "stage": 23, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11017, + "rank": 4, + "split": "frame508_to_zero", + "stage": 25, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11018, + "rank": 4, + "split": "frame508_to_zero", + "stage": 27, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11019, + "rank": 4, + "split": "frame508_to_zero", + "stage": 29, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11020, + "rank": 4, + "split": "frame508_to_zero", + "stage": 31, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + }, + { + "original_owner": 11021, + "rank": 4, + "split": "frame508_to_zero", + "stage": 32, + "native_source_frame": 508, + "native_target_frame": 0, + "matcher": "FRAME508", + "route_pair_required_in_generic_job_matching": true + } +] diff --git a/research/g20-global-caller-audit/source/WORD.json.gz b/research/g20-global-caller-audit/source/WORD.json.gz new file mode 100644 index 0000000000..3877a72d8a Binary files /dev/null and b/research/g20-global-caller-audit/source/WORD.json.gz differ diff --git a/research/g20-global-caller-audit/verify.py b/research/g20-global-caller-audit/verify.py new file mode 100644 index 0000000000..7fa42eed3b --- /dev/null +++ b/research/g20-global-caller-audit/verify.py @@ -0,0 +1,473 @@ +"""Check the frozen G20 global caller without source implementation imports. + +Ali Romman with substantial OpenAI Codex assistance. Apache-2.0. +The construction and local native proof retain their source attribution. +""" +import argparse +from collections import Counter +from fractions import Fraction +import gzip +from hashlib import sha1, sha256 +import json +from math import lcm +from pathlib import Path + +HERE = Path(__file__).resolve().parent +SOURCE = HERE / 'source' + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def read(name): + raw = (SOURCE / name).read_bytes() + return json.loads(gzip.decompress(raw) if name.endswith('.gz') else raw) + + +def authenticate(): + pins = json.loads((HERE / 'SOURCES.json').read_bytes()) + for row in pins['original_sources']: + raw = (HERE / row['local_path']).read_bytes() + need(sha256(raw).hexdigest() == row['sha256'], 'Source SHA256: ' + row['local_path']) + need(sha1(b'blob ' + str(len(raw)).encode() + b'\0' + raw).hexdigest() == row['git_blob'], + 'Source Git blob: ' + row['local_path']) + native = read('NATIVE-SOURCES.json') + for name in ['WORD.json.gz', 'LOCAL-RESULT.json', 'MATCHER.json', 'FRAMES.json']: + row = next(r for r in native['files'] if r['path'].endswith('/' + name)) + need(sha256((SOURCE / name).read_bytes()).hexdigest() == row['sha256'], + 'The native proof covers the same input: ' + name) + return len(pins['original_sources']) + + +def layout(word, controller): + thick = controller['invoice']['thick_stages'] + need(len(thick) == len(set(thick)) == 18, 'Eighteen distinct full stages') + pivots = sorted(r for r in word['owned'] if r < 658) + snapshots = sorted(r for r in word['owned'] if r >= 660) + need(len(pivots) == 22 and len(snapshots) == 24, 'Exact retired and snapshot inventories') + retired = {3552 + 436*j + r - 222 for j in range(18) for r in pivots} + retained = [r for r in range(11400) if r not in retired] + compact = {r: i for i, r in enumerate(retained)} + n = len(retained) + 18 + owned = list(range(n, n + len(word['owned']))) + need((n, len(owned)) == (11022, 48), 'Public and owned global counts') + private = dict(zip([658, 659] + pivots + snapshots, owned)) + + def owners(stage, x, y): + j = thick.index(stage) + mapping = dict(private) + for r in range(222): + mapping[r] = compact[(x if r < 111 else y)*111 + r % 111] + for r in range(222, 658): + if r not in private: + mapping[r] = compact[3552 + 436*j + r - 222] + mapping[684] = len(retained) + j + need(set(mapping) == set(range(685)) and len(set(mapping.values())) == 685, + 'Injective complete local owner map') + return mapping + + old = read('BASE-CALLS.json') + need([(c['stage'], c['helper_owner_begin']) for c in old] + == [(s, 3552 + 436*j) for j, s in enumerate(thick)], 'Original helper cohorts') + return n, owned, retired, retained, owners + + +def bind(events, word, controller, calls): + n, owned, retired, retained, owners = layout(word, controller) + at = 0 + actual_calls, helper_maps = [], [] + + def consume(expected): + nonlocal at + need(at < len(events) and events[at] == expected, 'Exact macro binding at event ' + str(at)) + at += 1 + + def add(d, s, label): + consume(['ADD', d, s, label]) + + def scalar(op, d, s, label): + need(op in ['ADD', 'SWAP'], 'Scalar controller opcode') + for port in range(111): + a, b = d*111 + port, s*111 + port + add(a, b, label) + if op == 'SWAP': + add(b, a, label) + add(a, b, label) + + for r in owned: + consume(['OWNED_CLEAR', r, None, 'GLOBAL_ENTRY_ARBITRARY_DIRTY']) + for op, d, s in controller['boundaries']['right_program']: + scalar(op, d, s, 'RIGHT_BOUNDARY') + for event in controller['physical_events']: + op = event[0] + if op in ['LOCAL', 'QUERY_SHEAR']: + _, stage, pair, reverse = event + x, y = (2*pair+1, 2*pair) if reverse else (2*pair, 2*pair+1) + if op == 'LOCAL': + mapping = owners(stage, x, y) + helper_maps.append(mapping) + if stage: + for bank in [x, y]: + for port in range(111): + consume(['PAID_PORT_ROUTE', stage, bank*111+port, port, 'ENTRY']) + begin = at + paid = Counter() + for i, e in enumerate(word['records']): + kind, r = e[:2] + d = mapping[r] + if kind == 'ADD': + consume(['ADD', d, mapping[e[2]], ['LOCAL', stage, e[3], i]]) + elif kind == 'ERASE': + consume(['OWNED_CLEAR', d, e[2], ['LOCAL', stage, i]]) + elif kind == 'INIT': + consume(['OWNED_ZERO_HEADER', d, e[2], stage]) + elif kind == 'Q': + a, b, rank = e[2:] + consume(['QUERY', d, rank, ['LOCAL_INVERSE', stage, a, b, i]]) + paid[rank] += 1 + else: + need(kind == 'ZERO_Q', 'Local event opcode') + consume(['WHOLE_ZERO_FRAME', d, *e[2:], stage]) + j = controller['invoice']['thick_stages'].index(stage) + actual_calls.append(dict(stage=stage, pair=pair, source_bank=x, target_bank=y, + old_direction_inverse=reverse, new_direction_inverse=True, + helper_old_owner_begin=3552+436*j, core_begin=begin, core_end=at, + owned_global_indices=owned, retained_helper_count=415, + paid={str(k): v for k, v in paid.items()})) + if stage: + for bank in [x, y]: + for port in range(111): + consume(['PAID_PORT_ROUTE', stage, bank*111+port, port, 'RETURN']) + elif op == 'QUERY_SHEAR': + for port in range(111): + add(n, x*111+port, ['THIN_COPY', stage, port]) + consume(['QUERY', n, 1, ['THIN', stage, port]]) + add(y*111+port, n, ['THIN_DELIVER', stage, port]) + consume(['OWNED_CLEAR', n, None, ['THIN', stage, port]]) + elif op == 'IDLE': + _, pair, stages = event + need(len(stages) == len(set(stages)), 'Disjoint idle stage blocks') + need(set(stages) <= set(controller['invoice']['thick_stages']), 'Actual full-stage idle blocks') + for bank in [2*pair, 2*pair+1]: + for port in range(111): + consume(['QUERY', bank*111+port, 7*len(stages), ['WHOLE_IDLE', stages, port]]) + else: + scalar(op, event[1], event[2], 'BRIDGE' if op == 'ADD' else 'FINAL_SWAP') + for op, d, s in controller['boundaries']['left_program']: + scalar(op, d, s, 'LEFT_BOUNDARY') + for r in owned: + consume(['OWNED_CLEAR', r, None, 'GLOBAL_EXIT_TEARDOWN']) + need(at == len(events) and actual_calls == calls, 'Complete stream and exact call boundaries') + return n, owned, retired, retained, helper_maps + + +def forward(events, descriptors, n, owned): + rows = [1 << i for i in range(n + len(owned))] + norms = [1] * len(rows) + versions, epochs = [0]*len(rows), [0]*len(rows) + prefix = sha256() + paid, counts = Counter(), Counter() + live, episodes = {}, [] + peak, peak_live, query = 1, 0, 0 + for at, event in enumerate(events): + op, d = event[:2] + counts[op] += 1 + need(0 <= d < len(rows) or op == 'PAID_PORT_ROUTE', 'Global owner range') + if op == 'ADD': + s = event[2] + need(0 <= s < len(rows) and s != d, 'Distinct valid ADD operands') + rows[d] ^= rows[s] + norms[d] += norms[s] + peak = max(peak, norms[d]) + versions[d] += 1 + if d >= n and d not in live: + label = event[3] + need(label[0] in ['LOCAL', 'THIN_COPY'], 'Owned lifetime starts in a known macro') + live[d] = (at, label[1], label[0] == 'THIN_COPY') + peak_live = max(peak_live, len(live)) + elif op == 'OWNED_CLEAR': + need(d >= n, 'No public erasure') + rows[d] = norms[d] = 0 + versions[d] += 1 + epochs[d] += 1 + if d in live: + begin, stage, thin = live.pop(d) + item = dict(owner=d, stage=stage, begin=begin, end=at) + if thin: + item['kind'] = 'THIN' + episodes.append(item) + elif op == 'QUERY': + need(query < len(descriptors) and 0 < event[2] <= 127, 'Valid paid query') + item = descriptors[query] + expected = dict(event=at, prefix_sha256=prefix.hexdigest(), owner=d, + version=versions[d], epoch=epochs[d], rank=event[2], detail=event[3], RAW_hex=hex(rows[d])) + need(all(item.get(k) == v for k, v in expected.items()), 'Complete chronological query descriptor') + paid[event[2]] += 1 + versions[d] += 1 + query += 1 + elif op in ['OWNED_ZERO_HEADER', 'WHOLE_ZERO_FRAME']: + need(rows[d] == 0 and (op == 'WHOLE_ZERO_FRAME' or d >= n), 'Whole-zero precondition') + else: + need(op == 'PAID_PORT_ROUTE', 'Global opcode') + prefix.update((json.dumps(event, separators=(',', ':')) + '\n').encode()) + need(query == len(descriptors) and not live, 'All queries and lifetimes consumed') + need(rows == [1 << i for i in range(n)] + [0]*len(owned), 'Complete RAW and dirty endpoint') + return dict(paid=dict(paid), counts=dict(counts), episodes=episodes, peak_live=peak_live, + majorant=str(peak), majorant_bits=peak.bit_length(), stream_sha256=prefix.hexdigest()) + + +def reverse_raw(events, n, own): + rows = [1 << i for i in range(n + own)] + for e in reversed(events): + if e[0] == 'ADD': + rows[e[2]] ^= rows[e[1]] + elif e[0] == 'OWNED_CLEAR': + rows[e[1]] = 0 + need(rows == [1 << i for i in range(n)] + [0]*own, 'Independent transpose RAW and dirty endpoint') + return (n + own)**2 + + +def interfaces(word): + frames = read('FRAMES.json')['frames'] + witnesses = [] + denominator = 2 + for port in range(111): + a, line = word['start'][port], word['final'][port] + complement, b = word['start'][111+port], word['final'][111+port] + need(a == 1 and b == 0, 'Actual full-to-line and complement-to-zero interfaces') + u, space = frames[str(line)]['B'], frames[str(complement)]['B'] + need(len(u) == 1 and len(space) == 7, 'One central and seven stage directions') + need(all(sum(x*y for x, y in zip(u[0], row)) == 0 for row in space), + 'The two main interface spaces are orthogonal') + columns = u + space + matrix = [[Fraction(columns[j][i]) for j in range(8)] for i in range(8)] + augmented = [row[:] + [Fraction(i == j) for j in range(8)] for i, row in enumerate(matrix)] + for j in range(8): + pivot = next((i for i in range(j, 8) if augmented[i][j]), None) + need(pivot is not None, 'Complete invertible port normalizer') + augmented[j], augmented[pivot] = augmented[pivot], augmented[j] + value = augmented[j][j] + augmented[j] = [x/value for x in augmented[j]] + for i in range(8): + if i != j: + value = augmented[i][j] + augmented[i] = [x-value*y for x, y in zip(augmented[i], augmented[j])] + inverse = [row[8:] for row in augmented] + for left, right in [(matrix, inverse), (inverse, matrix)]: + need(all(sum(left[i][k]*right[k][j] for k in range(8)) == (i == j) + for i in range(8) for j in range(8)), 'Both port inverse identities') + norm = sum(x*x for x in u[0]) + projection = [[Fraction(u[0][i]*u[0][j], norm) for j in range(8)] for i in range(8)] + need(all(sum(projection[i][k]*matrix[k][j] for k in range(8)) + == (matrix[i][j] if j == 0 else 0) for i in range(8) for j in range(8)), + 'Exact central-line conjugation') + for table in [matrix, inverse, projection]: + for row in table: + for value in row: + denominator = lcm(denominator, value.denominator) + witnesses.append(dict(port=port, line=line, complement=complement, + normalizer=[[str(x) for x in row] for row in matrix], + inverse=[[str(x) for x in row] for row in inverse])) + return dict(paired_address_halves=2, port_count=len(witnesses), + normalizer_denominator_lcm=denominator, ports=witnesses) + + +def physical(controller): + # Encode (monomial mask, output bank) in one integer. Reverse propagation + # gives the transpose over the group algebra of commuting involutions. + rows = [{i} for i in range(32)] + + def shift(row, mask): + return {x ^ (mask << 5) for x in row} + + def scalar(program): + for op, d, s in reversed(program): + if op == 'ADD': + rows[s] ^= rows[d] + else: + need(op == 'SWAP', 'Physical boundary opcode') + rows[d], rows[s] = rows[s], rows[d] + + scalar(controller['boundaries']['left_program']) + for event in reversed(controller['physical_events']): + op = event[0] + if op in ['LOCAL', 'QUERY_SHEAR']: + _, stage, pair, rev = event + x, y = (2*pair+1, 2*pair) if rev else (2*pair, 2*pair+1) + if op == 'LOCAL': + rows[x] = shift(rows[x], 1 << (stage+1)) + rows[y] = shift(rows[y], 1 << (stage+1)) + rows[x] ^= shift(rows[y], 1) + elif op == 'IDLE': + mask = sum(1 << (s+1) for s in event[2]) + for bank in [2*event[1], 2*event[1]+1]: + rows[bank] = shift(rows[bank], mask) + else: + scalar([event]) + scalar(controller['boundaries']['right_program']) + want = [{(mask << 5) | i} for i, mask in enumerate(controller['diagonal'])] + need(rows == want, 'Every physical controller coefficient') + need(all(mask & 1 for mask in controller['diagonal']), 'Every main target includes its central line') + return [1 + 7*(mask >> 1).bit_count() for mask in controller['diagonal']] + + +def targets(word, main_ranks, maps, records, n): + expected = {111*bank+p: rank for bank, rank in enumerate(main_ranks) for p in range(111)} + labels = {111*bank+p: dict(original_owner=111*bank+p, rank=rank, + matcher='MAIN_BANK_'+str(bank), port=p, + operator='D_(P_line+selectedorthogonalstageblocks)', + route_pair_required_in_generic_job_matching=True) + for bank, rank in enumerate(main_ranks) for p in range(111)} + dims = {int(k): v['dim'] for k, v in read('FRAMES.json')['frames'].items()} + stages = read('CONTROLLER.json')['invoice']['thick_stages'] + required_routes = set(expected) + for stage, mapping in zip(stages, maps): + for r in list(range(222, 658)) + [684]: + if r in word['owned']: + continue + a, b = word['start'][r], word['final'][r] + need((a, b) in [(1, 0), (1, 508), (508, 0)], 'Native-audited helper endpoint class') + owner = mapping[r] + need(owner not in expected, 'One independent target for each public input') + expected[owner] = abs(dims[a] - dims[b]) + if (a, b) == (1, 0): + labels[owner] = dict(original_owner=owner, rank=8, + matcher='IDENTITY_FULL8', native_frame=1, + route_pair_required_in_generic_job_matching=False) + else: + labels[owner] = dict(original_owner=owner, rank=4, + matcher='FRAME508_COMPLEMENT' if a == 1 else 'FRAME508', + split='full8_to_frame508' if a == 1 else 'frame508_to_zero', + native_source_frame=a, native_target_frame=b, + route_pair_required_in_generic_job_matching=True) + if a == 508: + labels[owner]['stage'] = stage + if (a, b) != (1, 0): + required_routes.add(owner) + need(set(expected) == set(range(n)), 'Complete target owner coverage') + actual = {r['original_owner']: r['rank'] for r in records} + need(len(actual) == len(records) == n and actual == expected, 'Exact bijective target ledger') + need({r['original_owner']: r for r in records} == labels, 'Every target native interface and matcher') + need({r['original_owner'] for r in records if r['route_pair_required_in_generic_job_matching']} + == required_routes, 'Every required target route pair') + return Counter(expected.values()), 2*len(required_routes) + + +def fees(result, invoice, required_routes, matcher, ordinary): + n, own, queries = invoice['originals'], invoice['owned_allocated'], invoice['QUERYs'] + counts = result['counts'] + scans = sum(counts[k] for k in ['ADD', 'OWNED_CLEAR', 'OWNED_ZERO_HEADER', 'WHOLE_ZERO_FRAME']) + 2*own + parking = 4*(n+own)*queries + coefficient_terms = 0 + for names, count in [(('forward', 'inverse'), 72), (('new_target_forward', 'new_target_inverse'), 36)]: + coefficient_terms += 2*count*sum(Fraction(x) != 0 for name in names for row in matcher[name] for x in row) + declared = ordinary['fee_bounds']['base_counts'] + route_charge = declared['internal_and_wholejob_routes'] + need(route_charge >= counts['PAID_PORT_ROUTE'] + required_routes, 'Complete internal and target route charge') + dimension = queries*(32*127**2 + 8*127**3) + total = scans + parking + route_charge + sum(counts.values()) + dimension + coefficient_terms + expected = dict(raw_records=sum(counts.values()), new_matcher_coefficient_terms=coefficient_terms, + all_XOR_CLEAR_INIT_zeroheader_passes=scans, parent_parking_FIELD_passes=parking, + internal_and_wholejob_routes=route_charge, coarse_primitive_count_with_dimension_work=total, + strict_upper=2**64, all_owned_allocated=own, owned_productive_credit=0) + need(declared == expected and total < 2**64, 'Complete positive finite bill') + need(result['majorant_bits'] < 1024, 'Global precision envelope') + return dict(primitive_upper_bound=total, required_target_routes=required_routes, + retained_route_allowance=route_charge-counts['PAID_PORT_ROUTE'], + extra_retired_route_allowance=route_charge-counts['PAID_PORT_ROUTE']-required_routes, + coefficient_terms=coefficient_terms, dimension_work=dimension, parking=parking, scans=scans) + + +def reject(action): + try: + action() + except ValueError as error: + return str(error) + raise ValueError('Invalid boundary accepted') + + +def run(): + source_count = authenticate() + word, controller, calls = read('WORD.json.gz'), read('CONTROLLER.json'), read('CALLS.json') + events = [json.loads(line) for line in gzip.decompress((SOURCE/'GLOBAL.jsonl.gz').read_bytes()).splitlines()] + descriptors = read('SOURCE-DESCRIPTORS.json.gz') + n, owned, retired, retained, maps = bind(events, word, controller, calls) + result = forward(events, descriptors, n, owned) + transpose = reverse_raw(events, n, len(owned)) + port_interfaces = interfaces(word) + main = physical(controller) + target_records = read('TARGET-OWNERS.json') + target_counts, routes = targets(word, main, maps, target_records, n) + invoice = read('INVOICE.json') + need(result['paid'] == {int(k): v for k, v in invoice['paid'].items()}, 'Paid invoice') + need(target_counts == {int(k): v for k, v in invoice['targets'].items()}, 'Target invoice') + need(sum(result['paid'].values()) == invoice['QUERYs'] == 56223, 'All paid calls counted') + need(sum(k*v for k, v in target_counts.items()) - sum(k*v for k, v in result['paid'].items()) + == invoice['rank_surplus'] == 753, 'Complete rank surplus') + need(invoice['originals'] == n and invoice['owned_allocated'] == len(owned) + and invoice['owned_output_credit'] == 0, 'No owned productive credit') + need(result['episodes'] == read('PRIVATE-EPISODES.json'), 'Every exact owned episode') + glob = read('GLOBAL-RESULT.json') + for a, b in [('counts', 'operation_counts'), ('majorant', 'majorant'), + ('majorant_bits', 'majorant_bits'), ('stream_sha256', 'canonical_stream_sha256')]: + need(result[a] == glob[b], 'Exact global receipt: ' + b) + need(glob['retained_old_ids'] == retained and glob['retired_original_old_ids'] == sorted(retired), + 'Every retired original is debited') + fee = fees(result, invoice, routes, read('MATCHER.json'), read('ORDINARY-RESULT.json')) + controls = {} + bad = descriptors.copy(); bad[0] = dict(bad[0], detail=['FALSE_GEOMETRY']) + controls['false_query_geometry'] = reject(lambda: forward(events, bad, n, owned)) + bad_epoch = descriptors.copy(); bad_epoch[0] = dict(bad_epoch[0], epoch=bad_epoch[0]['epoch']+1) + controls['stale_epoch'] = reject(lambda: forward(events, bad_epoch, n, owned)) + bad_events = events.copy(); ix = next(i for i, e in enumerate(events) if e[0] == 'PAID_PORT_ROUTE') + bad_events[ix] = list(bad_events[ix]); bad_events[ix][-1] = 'FALSE_RETURN' + controls['wrong_port_route'] = reject(lambda: bind(bad_events, word, controller, calls)) + controls['dirty_input_leak'] = reject(lambda: reverse_raw([['ADD', 0, n, 'CONTROL']] + events, n, len(owned))) + bad_targets = target_records.copy(); bad_targets[1] = dict(bad_targets[1], original_owner=0) + controls['duplicate_target_owner'] = reject(lambda: targets(word, main, maps, bad_targets, n)) + bad_matcher = target_records.copy() + target_index = next(i for i, r in enumerate(target_records) if r.get('split')) + bad_matcher[target_index] = dict(bad_matcher[target_index], native_target_frame=0) + controls['wrong_target_normalizer'] = reject(lambda: targets(word, main, maps, bad_matcher, n)) + bad_controller = dict(controller, diagonal=controller['diagonal'].copy()) + bad_controller['diagonal'][0] ^= 2 + controls['wrong_stage_operator'] = reject(lambda: physical(bad_controller)) + bad_word = dict(word, start=word['start'].copy()) + bad_word['start'][112] = word['start'][111] + controls['wrong_port_complement'] = reject(lambda: interfaces(bad_word)) + bad_fee = read('ORDINARY-RESULT.json') + bad_fee['fee_bounds']['base_counts']['new_matcher_coefficient_terms'] -= 1 + controls['omitted_matcher_term'] = reject(lambda: fees(result, invoice, routes, read('MATCHER.json'), bad_fee)) + controls['public_erasure'] = reject(lambda: forward([['OWNED_CLEAR', 0, None, 'CONTROL']], [], n, owned)) + return dict(status='PASS_G20_GLOBAL_CALLER_BOUNDARY', source_files=source_count, + source_head='829d01fc031f7323ffcfa423fdfd1f24dcbe3190', events=len(events), + input_columns=n+len(owned), independent_inputs=n, owned=len(owned), + scalar_endpoint_coefficients=transpose, full_calls=len(calls), paid_queries=len(descriptors), + owned_episodes=len(result['episodes']), peak_live_owned=result['peak_live'], + majorant=result['majorant'], majorant_bits=result['majorant_bits'], + stream_sha256=result['stream_sha256'], main_target_ranks=main, targets=dict(target_counts), + paid=result['paid'], rank_surplus=753, finite_fee=fee, negative_controls=controls, + port_interfaces=port_interfaces, + limits=['The native proof is an authenticated dependency, not replayed here.', + 'Finite physical primitive charges do not prove their tape-time tariffs.', + 'Compiler, stock, precision, analytic and compatible outer obligations remain.', + 'No new kappa, selected-frontier update or independent human acceptance.']) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--write', action='store_true') + args = parser.parse_args() + result = json.loads(json.dumps(run())) + path = HERE/'RESULT.json' + if args.write: + path.write_text(json.dumps(result, indent=2, sort_keys=True)+'\n') + else: + need(result == json.loads(path.read_bytes()), 'Exact retained result') + print(result['status']) + + +if __name__ == '__main__': + main()