diff --git a/research/qq16-native-history/ADMISSION.json b/research/qq16-native-history/ADMISSION.json new file mode 100644 index 0000000000..43ebceccc5 --- /dev/null +++ b/research/qq16-native-history/ADMISSION.json @@ -0,0 +1,107 @@ +{ + "schema_version": 1, + "scope": "Successful source-admitted original C calls and the root-only incremental QQ16 comparison; written source theorem with reduced physical evidence.", + "items": [ + { + "item": "authenticated_source", + "status": "newly checked", + "source": "runtime.py / inputs/PR4167-MANIFEST.json / SOURCES.json", + "obligation": "No inherited executable is loaded before retained/canonical integrity checks. Bootstrap verifier/seals are trusted committed bytes.", + "cost_and_limit": "source integrity, not scientific correctness" + }, + { + "item": "legal_closed_histories", + "status": "new finite execution", + "source": "fitted_fixture.py / HISTORY.md", + "obligation": "Successful fallback and fitted/fallback invocations generate different free orders in five arenas including both runtime arenas.", + "cost_and_limit": "test construction and replay only; no runtime reset" + }, + { + "item": "fitted_branch", + "status": "new finite execution", + "source": "fitted_fixture.py / EXECUTION.json", + "obligation": "Actual Ordinary.fitted via authenticated declared small grammar, two actual padded native roots.", + "cost_and_limit": "full fitted execution metered; not production selector admission" + }, + { + "item": "six_arena_relation", + "status": "new written quantified result", + "source": "MECHANISM.md", + "obligation": "Activation-local value/alias/head map, ordered free correspondence, saved parent map and exact slot restoration.", + "cost_and_limit": "zero reset sites, extra engines or physical tapes" + }, + { + "item": "codec_action_shape", + "status": "new source-bound finite certificate", + "source": "mechanism.py", + "obligation": "All490 actual transitions,360 erased classes; legal nonconstant slot-record reorder and childreuse restore.", + "cost_and_limit": "exact R/W/M formula, all loop/delimiter costs" + }, + { + "item": "payload_opacity", + "status": "new written source-case result", + "source": "COMPARISON.md", + "obligation": "Successful coefficient bits never become descriptor/address Ring operands; fixed-width scans preserve action schedules.", + "cost_and_limit": "source action equality only; arbitrary Ring value-obliviousness excluded" + }, + { + "item": "actual_nested_return", + "status": "new finite targeted cut", + "source": "native_nested.py", + "obligation": "First real child returns; exact parent word identities/values/heads, paused roles, PC/mode/root and borrowed input restored.", + "cost_and_limit": "remainder parent program not executed; explicit disposal separately charged" + }, + { + "item": "closure_and_escaped_handles", + "status": "inherited ownership plus new checks", + "source": "LIFECYCLE.md / lifecycle.py", + "obligation": "Six arenas/templates and pools/codec/heads closed after protected output consumption; absence of escaped Word references remains source owner premise.", + "cost_and_limit": "twelve receipt mutation controls; no arbitrary recovery claim" + }, + { + "item": "marker_class", + "status": "new exact subtrace and whole-epoch proof", + "source": "MECHANISM.md / LIFECYCLE.md", + "obligation": "Ordinary BLANK/LEFT correction retained; actual complex warm-erased phase; original backend once703W potential cancels B/D.", + "cost_and_limit": "literal rearm bill and six source helper calibrations" + }, + { + "item": "geometry_and_census", + "status": "inherited semantics plus newly checked source census", + "source": "COMPARISON.md / BILL.json", + "obligation": "All510646 retained calls paired by occurrence with full descriptors; service rows/(448Gamma) equals original U.", + "cost_and_limit": "14298088Gamma caller-header actions remain; Gamma once" + }, + { + "item": "whole_incremental_bill", + "status": "resolved context, remaining prices unknown", + "source": "COMPARISON.md / RESOURCE.md", + "obligation": "All retained body history/payload residuals removed; complete nonchild/shell/E1/E8 threshold retained against fair B/B*.", + "cost_and_limit": "no sign or affordability claim; fixed-mechanism expansion stopped" + }, + { + "item": "numerical_endpoint", + "status": "inherited", + "source": "original3385 and frozen4129/4166 closure", + "obligation": "Exact C, admitted stored width/grid, source quantum/range, stock/depth, ordinary/Compact, hosting and long-record hypotheses retained.", + "cost_and_limit": "no new numerical representation or source arithmetic" + }, + { + "item": "inventory_and_backing", + "status": "inherited bounds plus new observations", + "source": "RESOURCE.md / state_model.py", + "obligation": "No extra runtime mechanism; simultaneous B/D inventories unchanged, per-role historical maxima and codec visited coordinates retained.", + "cost_and_limit": "no equal-space or storage-dominance claim" + }, + { + "item": "finite_control", + "status": "explicit fixed realization and remaining tariff", + "source": "MECHANISM.md / RESOURCE.md", + "obligation": "Finite allocator-state component can implement fixed-label operations directly; slot bitloops remain charged. Enclosing compiler/selector and payload branch control tariff separate.", + "cost_and_limit": "no Python-time or unrestricted Turing-step equality" + } + ], + "scientific_base": "12fa8c5c844be21bfefb38a19503fbd867a11244", + "new_supplier_admitted": false, + "selected_frontier_changed": false +} diff --git a/research/qq16-native-history/BILL.json b/research/qq16-native-history/BILL.json new file mode 100644 index 0000000000..d1f924e520 --- /dev/null +++ b/research/qq16-native-history/BILL.json @@ -0,0 +1,5803 @@ +{ + "all_retained_reduced_threshold": "Delta_nonchild_startup + Delta_unmatched_protocol + 14298088 Gamma + 368 Gamma E_1 - 16 Gamma E_8", + "census": { + "all_external_D_per_Gamma": 511014, + "all_retained_header_actions_per_Gamma": 14298088, + "counts_per_Gamma": { + "added": 32, + "changed_core": 6972, + "later": 493097, + "original": 510662, + "removed": 16, + "same_payload": 503674, + "service": 336 + }, + "later_header_actions_per_Gamma": 13806716, + "matched_header_actions_per_Gamma": 14102872, + "root_installed_per_Gamma": 510678 + }, + "controller_marker_potential": { + "cases": [ + { + "cold_actions": [ + 4, + 1, + 4 + ], + "delta": [ + 0, + 0, + 0 + ], + "packet_first_touch": "origin", + "slots": 1, + "warm_actions": [ + 4, + 1, + 4 + ] + }, + { + "cold_actions": [ + 5, + 1, + 4 + ], + "delta": [ + 0, + 0, + 0 + ], + "packet_first_touch": "arm_empty", + "slots": 1, + "warm_actions": [ + 5, + 1, + 4 + ] + }, + { + "cold_actions": [ + 6, + 2, + 6 + ], + "delta": [ + 0, + 1, + 0 + ], + "packet_first_touch": "origin", + "slots": 2, + "warm_actions": [ + 6, + 1, + 6 + ] + }, + { + "cold_actions": [ + 8, + 2, + 6 + ], + "delta": [ + 0, + 1, + 0 + ], + "packet_first_touch": "arm_empty", + "slots": 2, + "warm_actions": [ + 8, + 1, + 6 + ] + }, + { + "cold_actions": [ + 1410, + 704, + 1410 + ], + "delta": [ + 0, + 703, + 0 + ], + "packet_first_touch": "origin", + "slots": 704, + "warm_actions": [ + 1410, + 1, + 1410 + ] + }, + { + "cold_actions": [ + 2114, + 704, + 1410 + ], + "delta": [ + 0, + 703, + 0 + ], + "packet_first_touch": "arm_empty", + "slots": 704, + "warm_actions": [ + 2114, + 1, + 1410 + ] + } + ], + "production_controller_potential": { + "bank_first_marker_writes": 704, + "first_output_marker_credit": 1, + "moves": 0, + "paid_once_per_backend_epoch": true, + "reads": 0, + "scope": "fresh versus warmed original complex controller marker state only", + "writes": 703 + }, + "rejected": [ + "zero_calls", + "empty_inventory", + "boolean_inventory" + ], + "scope": "literal marker subtrace calibration and written whole-epoch induction; 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Frozen D has independent primitive allocator history while B_shared matches A history; native action residual remains explicit.", + "unit": "one occurrence per cover owner; multiply every call count by Gamma once" + }, + "monomial_invocation_cases": [ + { + "actual_ordinary_calls": 0, + "columns": 1, + "early": 2, + "late": 3, + "outer_rows": 7 + }, + { + "actual_ordinary_calls": 4, + "columns": 2, + "early": 1, + "late": 0, + "outer_rows": 1 + }, + { + "actual_ordinary_calls": 36, + "columns": 2, + "early": 0, + "late": 1, + "outer_rows": 3 + }, + { + "actual_ordinary_calls": 260, + "columns": 4, + "early": 7, + "late": 2, + "outer_rows": 5 + } + ], + "native_codec": { + "actual_marker_phase_control": { + "cases": [ + { + "actions": [ + 907, + 453, + 908 + ], + "excludes": "constructor and successful previous finish; no reset of available order", + "includes": "Ordinary output checks, all six arenas/templates, both pools, runtime roles/handoff/output, dictionary marker", + "initialized_markers": 452, + "output_marker_blank": false + }, + { + "actions": [ + 907, + 454, + 908 + ], + "excludes": "constructor and successful previous finish; no reset of available order", + "includes": "Ordinary output checks, all six arenas/templates, both pools, runtime roles/handoff/output, dictionary marker", + "initialized_markers": 452, + "output_marker_blank": true + } + ], + "scope": "marker and inventory control; no fitted arithmetic executed here", + "status": "PASS_LITERAL_REARM_TARIFF" + }, + "bit_dependent_move_rejected": true, + "cold": { + "child_actions": [ + 94, + 32, + 100 + ], + "entry_free_order": [ + [ + 3, + 2, + 1, + 0 + ], + [ + 3, + 2, + 1, + 0 + ] + ], + "legal_warm_history": false, + "logical_word_slot_labels": [ + [ + 0, + 1, + 2 + ], + [ + 0, + 1, + 2 + ] + ], + "park_child_restore_actions": [ + 1273, + 460, + 1168 + ], + "park_restore_actions": [ + 1179, + 428, + 1068 + ], + "terminal_numeric_and_codec_cleanup": true, + "word_identity_value_head_restored": true + }, + "finite_control_example": { + "additional_physical_tapes": 0, + "capacity": 4, + "runtime_reset_sites": 0, + "scope": "allocator finite-control component only; no numerical values/widths", + "six_arena_state_bound": 2985984000000, + "slot_bits": 2, + "state_bits_bound": 42 + }, + "missing_binary_counterpart_rejected": true, + "runtime_mutation": "none; source allocation/free and park/restore only", + "scope": "source-bound kernel evidence; quantified Ordinary theorem in MECHANISM.md", + "status": "PASS_NATIVE_CODEC_EQUIVARIANCE", + "transition_shape": { + "binary_erased_classes": 360, + "equal_next_state_write_presence_and_unit_moves": true, + "transitions": 490 + }, + "warm": { + "child_actions": [ + 94, + 32, + 100 + ], + "entry_free_order": [ + [ + 3, + 0, + 1, + 2 + ], + [ + 3, + 0, + 1, + 2 + ] + ], + "legal_warm_history": true, + "logical_word_slot_labels": [ + [ + 2, + 1, + 0 + ], + [ + 2, + 1, + 0 + ] + ], + "park_child_restore_actions": [ + 1273, + 460, + 1168 + ], + "park_restore_actions": [ + 1179, + 428, + 1068 + ], + "terminal_numeric_and_codec_cleanup": true, + "word_identity_value_head_restored": true + } + }, + "radix_digit_controls": [ + 1, + 3, + 4 + ], + "reduced_threshold_accounting_control": { + "D_minus_B_actions": -1701146, + "D_minus_B_with_additional_control": -1701146, + "necessary_and_sufficient_threshold": "16 Gamma E_8 > Delta_nonchild_startup + Delta_unmatched_protocol + 14298088 Gamma + 368 Gamma E_1", + "prices_are_supplied_exact_totals_not_bounds": true, + "remaining_budget_after_new_rank_one_bodies_and_headers": 1701176 + }, + "rejections": [ + "omitted later calls", + "bool alias in multiplicity", + "callback count used as ordinary count", + "missing removal charge", + "double Gamma publication" + ], + "remaining_terms": [ + "nonchild matched difference including all full-bank groups and fence predicates", + "complete service assembly/compiler/extraction/cleanup and336Gamma children", + "complete geometric rank-one and rank-eight original C body prices after all retained history/payload differences cancel", + "32Gamma complete added calls minus16Gamma complete B removed calls", + "separately compiled finite control and historical backing" + ], + "scan_volume_control": { + "coefficient_Gamma_times_B_bank": "281593/816", + "difference": 12867673728, + "not_a_tape_action_lower_bound_on_total_difference": true, + "original_replaced": 74575872, + "producer": 10586118144, + "service": 2356131456, + "unit": "sum of complete bank bit lengths over emitted gather/scatter groups" + }, + "scientific_claim": "The history/payload theorem removes retained body price uncertainty; unpriced nonchild and E_1/E_8 terms prevent a full QQ16 sign.", + "sign_controls": { + "negative": -1, + "positive": 14102874, + "synthetic_accounting_only": true + }, + "source_site_controls": { + "scope": "source-structure regression, not branch execution evidence", + "source_site_controls": "passed" + } +} diff --git a/research/qq16-native-history/COMPARISON.md b/research/qq16-native-history/COMPARISON.md new file mode 100644 index 0000000000..22ba49c92c --- /dev/null +++ b/research/qq16-native-history/COMPARISON.md @@ -0,0 +1,244 @@ +# Incremental QQ16 comparison after closing native action history + +Chris R / Clear1nsight, substantial OpenAI Codex assistance. Apache-2.0. +Jose Manuel's physical controller, Gaussian engines and retained Ordinary +implementation supply the source operations. #4166 and #4167 supply the actual +installation, fair baseline and literal source occurrence partition. Those +completed constructions and earlier ownership savings are not new credit here. + +## Exact external boundary and claim + +Keep #4167's original root entry through original root public output boundary. +B executes original arithmetic with shared primitives and external original C +children. D is the frozen #4166 adopted-bank installation. All descendants of +these external children remain the original C implementation. The comparison +is in separate read, write and unit-move actions (or their stated sum), with +separately compiled finite control and historical backing retained. + +The new history theorem is relevant because physical free-slot names enter +native serialization, even when numerical bodies are blank. Its role relation +must cover all six arenas, codec and templates at successful closed entries. +The theorem concerns action counts, not equality of encoded slot strings or +per-role historical backing. No host queue sorting/reset is an implementation. + +There is a further source fact needed to make the result useful: **successful +C action schedules are independent of coefficient payload values**, at fixed +geometry, source binding, marker class and related native closed states. +Therefore changed-core payloads do not themselves prevent native action +cancellation. Their mathematical endpoint correctness remains #4166's separate +semantic obligation. The complete reduction below is conditional on that +inherited admission and on the history theorem's proved boundary, not on a +new assumption that two unrelated upper bounds are equal. + +## Payload-oblivious action proof + +Partition runtime information into (i) descriptor/address/control words and +(ii) fixed-width coefficient payload bits. Compare two successful admitted +executions with identical type-(i) information and possibly different type-(ii) +bits. Relate each live role by its logical purpose, equal length and equal head; +payload bodies may differ. Native arena roles use the history theorem's slot +relation. The following source cases preserve this relation and equal R/W/M: + +1. `machine.py` selects node/leaf, source events, groups, owners, recipes, + target/rank and descendants from encoded descriptors and finite bindings. + `shape`, `prepare_child`, Count arithmetic and header production do not + inspect coefficient values. `copy_symbols`, transfer, clear, bank gather + and scatter stop at structural BLANK boundaries and copy bits opaquely. + All complete packet lengths are fixed by the shared descriptors. +2. `signed_linear.linear_word` executes one fixed-width iteration per component + bit. Carries and emitted digits may differ but source read/step and target + append schedules do not. The payload-dependent parity/headroom branches + reject; on the successful domain both comparisons continue along the same + tape-action schedule. Extension loops have fixed lengths. The same holds + for `scalar_words.shifted`, zero/copy and restoration checks. A failed + numerical admission is outside this successful-execution theorem. +3. `signed_phase.scan` computes the unit phase from `plan.decode(index)`, the + finite recipe and descriptors. It does **not** compute phase from payload. + Real/imaginary choices and negation directions consequently agree. Every + component is read and emitted at its fixed width. The minimum-negative + rejection can vary in truth only outside the paired successful domain. +4. `compact_streams.rotate`, digit gates and `repair` route records by encoded + coordinate states. Exceptional flags, hole bits and stable-radix keys are + produced from the loop index and `Control` arithmetic. They are not payload + bit predicates. Thus data-dependent-looking key branches have identical + keys, lengths and routes in the comparison; record contents remain opaque. +5. Binary padding/restriction and Ordinary's fitted/fallback selection use + descriptor widths. Native `stream.copy_blocks`, `bitstream` and the outer + ordinary wrapper copy payload bits without using them to select addresses + or arithmetic branches. Numerical Ring values in these routines are + address/loop/coefficient words derived from descriptors and finite source + constants. They are not decoded coefficient-payload values. The native + dispatcher and parked directory refine the same address operation word; + allocation/slot-codec effects are the separate history theorem. +6. Successful return restores borrowed bytes and heads and clears the same + structural extents. Recursion is well-founded under the inherited source + contraction/stock theorem. Induct on the completed C call tree: related + child descriptors and fixed source bindings give equal successful action + counts, including descendants once. Marker and root-context differences + must be kept explicitly; the claim does not identify embedded and external + contexts. + +No argument above equates Python wall time or arbitrary finite-control cost. +Carry branches, short-circuit predicates and finite slot selectors may have +separate compiler charges. Source R/W/M equality follows because their payload +branches perform the same measured tape operations on the successful domain. +The read-only structural controls in `comparison.check_sources` are regression +checks, not a substitute for this source-case proof. + +For the actual complex construction, `CompactEngine.__init__` closes its fresh +Ordinary with `native.finish(False)` and erases its output marker. Its first +call therefore already enters the successful closed interface required by the +history theorem. Direct standalone fresh `Ordinary` and warm `Ordinary` still +have different entry rearm work. Controller first-use/marker corrections, if +using a steady-state child price, belong in the explicit startup term; the +allocator theorem is not permission to omit them. + +## All retained children, including the changed core and suffix + +The authenticated #4167 census pairs actual occurrences, not rank histograms: +503,674 same-payload plus 6,972 changed-core calls give **510,646 retained +calls per Gamma**, including all 493,097 later calls. Both B and frozen D call +the original external C body with the same complete geometry at each paired +occurrence. Equal rank alone would be insufficient; source `prepare_child` +gives equal prefixes, unused rows, physical component width, coefficients, +spacing, spectators, before/after fields and global root width. The compiled +C binding and external root flag also agree. The successful payload theorem +and native-history theorem remove the previously unresolved body action +residual for all these occurrences, within their explicit boundary domain. + +The caller headers remain different: B has 2,685 bits and D has 2,687. The +source write/read/clear tariff is `14h+18`, so the retained-call header +increment is now + + 28 * 510646 Gamma = 14,298,088 Gamma actions. + +This consists of the earlier14,102,872Gamma same-payload component and the +new195,216Gamma changed-core header component. The later suffix contributes +13,806,716Gamma, retained exactly once. Changes in primitive rearm/marker +classes or compilation controls are charged in their own terms, not silently +folded into zero history residual. + +## Actual Ordinary invocation sites and fitted branch + +The original scalar and Gaussian leaf engines make no Ordinary invocation. +The path is `MonomialEngine.compact_gate -> CompactEngine.complete_row -> +swap -> Binary.run -> Ordinary.run`. For a monomial with `f` columns, +`r` actual outer rows and an affine recipe containing `e` early/constant gates +and `l` late gates, the exact number of Ordinary invocations is + + J(f,r,e,l) = 0 if f=1, + r (4e+12l) if f>1. + +The reference Compact word emits four swaps for an early/constant gate and +twelve for a late gate. For f>1 all swap fields have width `(f-1)G>0`. +For f=1 the monomial uses `single_column_rows`, bypassing Compact entirely. +`Compact.calls['ordinary']` counts attempted Binary swaps, including width-zero +ones in other scopes; it is not an unconditional Ordinary-call census. + +Binary computes `d_q = min {d : q^d >= 2^((f-1)G)}` through encoded operations. +Ordinary's `select(d_q,q,profile)` determines fitted/fallback by its encoded +atom width, borrowed row stock and body tests. A q=2 or f=1 fixture cannot be +called fitted evidence merely because it uses the same class names. The +package's separate fixture records actual branch and completed fitted roots. + +A reset policy, if later proposed, must sum J over **every** monomial in root, +service and all C descendants, adding exact first-use policies and costs. Root +callback multiplicities510662/511014 are not this sum. The present route adds +no reset and no per-invocation reset cost. + +## Reduced complete threshold and fair B* baseline + +Let `E_r(g)` be the **complete original external C.run action bill** for rank +r at the admitted child geometry g and a named entry marker class. It includes +its descendants, borrowed copies and completed return. Native history and +successful coefficient values no longer parameterize it. Keep entry marker +class corrections explicit in setup where a common steady-state price is used. +For every added producer and service child, r=1; each removed centre has r=8. +Their packet extent remains `v=P U row_bits`: reducing active rank moves the +other active axes to `after`, preserving full physical packet size. + +Let `Delta_shell` be the actual32Gamma producer plus336Gamma service child +preparation/return shells minus16Gamma original **B** shells. These include +Count preparation, capsule/header construction and output movement, but exclude +E_r and its descendants. Let `Delta_N` be the complete remaining nonchild and +startup/retirement difference, including: + +- producer extra scalar/map/monomial work and removed centre wrappers; +- every full-bank group scan, acquisition, encoded packet compiler and source + descriptor construction; +-448-family assembly, service nonchild work, borrowed checking,224 output + extraction/copybacks, publication, disposal and final root cleanup; +- first-use markers, exclusive inventories, retained fence predicates and any + other unmatched source setup. + +Then the action comparison becomes the geometry-based threshold + + T_D - T_B = Delta_N + Delta_shell + 14,298,088 Gamma + + 368 Gamma E_1(g) - 16 Gamma E_8(g). + +This is a source operation decomposition. It removes all503674 same-payload +history residuals **and** all6972 retained changed-core body prices. It is +still not a sign proof: Delta_N, Delta_shell and E_1/E_8 must be exact prices or +compatible bounds sufficient for the necessary inequality. In particular, +substituting A's embedded rank-eight price would double-credit generic parking. +The fixed mechanism is not expanded while this inequality remains unpriced. + +The source-bound nonchild inventory is substantial: producer emitted groups +are14479/51 perGamma versus2 replaced original groups; service has2022 groups +on a bank of B_bank/32. The signed difference in **full-bank group volume** is + + (14479/51 - 2 + 2022/32) Gamma B_bank + = (281593/816) Gamma B_bank. + +This diagnostic unit counts the sum of scanned bank bit lengths over emitted +groups. It is not itself the exact signed tape-action difference: per-selected +packet checks/copies, counters and old/new wrapper work are separate. Acquisition +and installation-fence scans are additional. The inherited service counts are +1696 monomials,3484 direct scalar dispatches,176 exchange-internal negations, +48 private zero calls and336 complete children perGamma. The176 internal +negations are already in exchange cost and are not added twice. + +Compare fairly to B*: its internal child-return adoption saves +`510662 Gamma (11v+4)` actions, less its separately counted binding control. +Frozen D does not automatically receive that new adapter. Therefore D-B* is +D-B plus this B* saving (and the signed control difference). If a **new D*** +implements the same exchange at all producer and service sites, its corresponding +saving is `511014 Gamma (11v+4)`, so the fair both-adopt adjustment to D-B is +`-352 Gamma(11v+4)`, plus separately priced controls. This is an algebraic +consequence of a separately proved implementation at those sites, not a claim +that frozen D was changed here. #4166's `11B_bank+4-c_R` whole-bank publication +saving remains credited exactly once; B_bank already includesGamma. + +## Reuse limits and decision + +#3233 (commdata2338) supplies an exact ordered high-ADD shell and admitted +bounds for a different enclosing scope; its arithmetic/numerical/allocator +premises remain explicit. #2982 (Nick Petalas) supplies a useful complete +route-prefix/disposal decomposition, and #2951 (Nick Petalas) separates scaling +payload traffic from factory/allocator costs. These are method/regression +sources here. Their coefficients or upper bounds do not price this whole C +body or prove history equality. No elementary reduced test is substituted for +fitted execution. The authenticated #3385/#3464/#3380 lineage and #4166/#4167 +installation/protocol evidence remain inherited with their stated premises. + +The context obstacle has a concrete route to elimination through the proved +history relation plus successful payload opacity. That changes the next +experiment from tracking hundreds of thousands of unrelated engine histories +to evaluating a deterministic geometry-based operation invoice. It does not +establish QQ16 affordability. The cheapest next cost experiment is an exact +source-action evaluator for the two child geometries E_1/E_8 and the explicit +new/removed nonchild word at one admitted reduced geometry, checked against +actual executions and then generalized only where the source recurrence +supports it. A homogeneous23/8 component screen cannot replace these prices. + +## Open next questions + +Price that reduced complete inequality, including the best compatible return +protocol on both sides and separately compiled control. Preserve real losing +cases and stop the fixed mechanism if the necessary inequality fails. An +all-node supplier, production O73 payload, complete RootLayer run and new kappa +are outside this package's evidence. + +## Closed controller marker potential + +LIFECYCLE.md discharges the original-child-controller first-use difference: one nonempty successful backend epoch has exactly 703 extra writes relative to its steady marker class. B and D each retain one original backend; producer and service share D's same backend. Thus these once-only 703-write potentials cancel over the complete comparison. They are not multiplied by Gamma, root/service occurrences or Ordinary invocations. Standalone different-marker Ordinary clients still need the explicit rearm correction. All other setup, extra engines and disposal remain in Delta_N. diff --git a/research/qq16-native-history/DECISION.md b/research/qq16-native-history/DECISION.md new file mode 100644 index 0000000000..5124526653 --- /dev/null +++ b/research/qq16-native-history/DECISION.md @@ -0,0 +1,44 @@ +# Native-history decision checkpoint after #4167 + +Chris R / Clear1nsight, with substantial coordinated OpenAI Codex assistance. +Apache-2.0. Started 2026-10-20 07:39 UTC. + +Canonical scientific base is `12fa8c5c844be21bfefb38a19503fbd867a11244`, +priority revision 7. Frozen #4167 is +`6749e458800f461535d64cc91c017552d9f55e5f`; frozen #4166 is +`0b082d22a0e9a442d264ab0633e35ef26c790630`; original #3385 is +`7e5a187214126d31afc241a8f89f4a652352b58c`. The source archive contains +the actual unchanged #4167 package, with its notices, source authentication and +executable dependencies. Review/publication heads are recorded separately. + +The assigned question is the native-history correction in D versus the fair +original-arithmetic B/B* baseline. We do not re-credit parent parking, caller +installation, whole-bank publication or the earlier child-return exchange. +The same external RootLayer prepared fast-core input/output boundary, physical +grid, row stock, spectators and fixed public ports are retained. Descendants +remain the original C. Any new optimisation must be offered fairly. + +The first discriminator is the actual fitted Ordinary branch on a nonconstant +encoded packet, from two legal successful closed histories, with all six arenas, +native codec/heads, borrowed ports and output cleanup observed. The reduced +declared-grammar `execute_plan` hook is not production `select` admission. +Queue permutation is only a rejection control, never a machine reset. + +Primary route A is a phase-dependent logical-handle/physical-slot relation. +It must prove allocation/free, fixed-width slot serialization, sorted parking, +restoration of exact saved parent roles, codec action shape, templates and +heads, including descendants. The fallback, only if needed, is a fully paid +closed-state preparation; no list reassignment or fresh engine is free. + +Success closes the history correction for a quantified actual call class and +rebuilds the incremental complete-root threshold from source occurrences. +The possible stronger payload-opacity statement must be proved from the full +numerical/control source closure, not inferred from finite equal costs. +Stop fixed-mechanism recovery expansion if its complete necessary comparison +fails or remains unpriced. A new significant context theorem may be retained +without claiming affordability, recursive supplier substitution or a new kappa. + +Every experiment keeps source tape actions, finite-control transitions, +numerical Word operations, timing and historical backing in separate units. +The scientific source/native/ordinary/Compact/hosting/long-record and successful +entry/completion premises remain explicit. Erasure never reclaims backing. diff --git a/research/qq16-native-history/EXECUTION.json b/research/qq16-native-history/EXECUTION.json new file mode 100644 index 0000000000..688097030b --- /dev/null +++ b/research/qq16-native-history/EXECUTION.json @@ -0,0 +1 @@ +{"fitted": {"classification": "observed_equal_actions", "delta": [0, 0, 0], "different_queues": ["banks[0]", "banks[1]", "banks[3]", "runtime.arena", "runtime.indices"], "distinct_payload_delta": [0, 0, 0], "fitted_fallback_fitted": ["fitted", "fallback", "fitted"], "fitted_pair": [{"actions": [79543744, 23380814, 82873286], "allocation": {"banks[0]": {"count": 928, "first_slots": [0, 1, 2, 3, 6, 5, 4, 7, 4, 7, 4, 5, 2, 4, 3, 6, 7, 6, 7, 6, 3, 5, 6, 2, 4, 7, 4, 7, 4, 2, 3, 4]}, "banks[1]": {"count": 89, "first_slots": [0, 1, 2, 3, 4, 5, 6, 7, 6, 7, 6, 7, 6, 6, 3, 4, 7, 4, 7, 4, 7, 4, 4, 5, 6, 7, 6, 7, 6, 7, 6, 5]}, "banks[2]": {"count": 0, "first_slots": []}, "banks[3]": {"count": 2, "first_slots": [0, 1]}, "runtime.arena": 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"all_engine_roles_retired": true, "borrowed_preserved": true, "child_endpoint_checked": true, "child_grants": [7, 24, 23], "child_shape": {"before": 1, "gap": 16, "old_count": 1, "rows": 6, "suffix": 1}, "child_width": 2, "codec_commands": 62, "codec_heads": [0, 1], "current_sha256": "8d8ffe0eab6e0c59e963743febb8c0ae555778b4afc177d13ebf0748c0deea03", "encoded_parent_frame": {"heads": [123520, 1], "nonblank": [123520, 1], "sha256": "2e46435c75bc140094f6172aed3166a97fae5d6a34d067ebe37c8d5ba565a2f9"}, "explicit_retirement_actions": [83113, 41365, 83170], "native_counts": {"calls": 1, "macros": 486, "residuals": 13, "returns": 1}, "parent_live_slots": [[0, 1, 6], [0, 1]], "parent_pc_after": 4, "parent_pc_before": 3, "parent_roles_preserved": true, "parent_slot_labels": [0, 1, 6, 0, 1], "parent_words_preserved": true, "payload_bits": 9216, "retired_after_completed_cut": true, "returned_bits": 1536, "root_program_completed": false, "root_rows": 36, "root_width": 4, "scope": "Observer stops immediately after first successful native child return; parent root remains active.", "status": "PASS_REACHABLE_NATIVE_CHILD_RETURN_CUT"}} diff --git a/research/qq16-native-history/HISTORY.md b/research/qq16-native-history/HISTORY.md new file mode 100644 index 0000000000..3a47716922 --- /dev/null +++ b/research/qq16-native-history/HISTORY.md @@ -0,0 +1,151 @@ +# Reachable native histories and the fitted discriminator + +The retained implementation is Jose Manuel's PR2899 `Ordinary`, `PhysicalArena`, +`RootSession` and `BankParking`, reached through the unchanged #4167 authenticated +source closure. `runtime.cold()` verifies the retained archives and canonical +inputs before `fitted_fixture` imports the source's fixture compiler. No queue is +assigned, permuted or sorted to manufacture either execution history. + +## Exact reduced admission + +`check_engine.fixture_engine()` compiles the source's declared two-dimensional +nested toy grammar with radix 2, register capacity 128 and the explicitly +fixture-only index floor 64. The fitted plan is the original source plan: + +| Field | Value | +|---|---:| +| Original radix width | 5 | +| Atom width | 1 | +| Depth | 1 | +| Required stock | 6 | +| High rows | 8 | +| Borrowed digit count | 3 | +| Body rank | 2 | +| Remainder | 0 | +| Prefix / gap / suffix | 1 / 1 / 1 | +| Original packet | 1,024 bits | +| Each of two padded native roots | 1,536 bits | + +The public source `execute_plan` hook supports declared small grammars. It calls +actual `Ordinary.fitted`, including both actual physical `RootSession.run` calls, +the physical numerical implementation, wrapper return and disposal. This smallest +fitted case has native child-call count zero: its body rank 2 produces children +below the declared cutoff. Actual bank-codec frames and nested parking are tested +separately by the mechanism evidence; they are not claimed from this fixture. +It does not call the elementary branch and does not replace the endpoint with a +double. This is **not** admission under the default production `select` profile, +the selected large-prime catalogue, or a production O73 payload. The quantified +context theorem has its own source argument; these finite executions test the +same relevant machinery at reduced admitted geometry. + +The nonconstant packet uses address-dependent bits, including multiple address +shifts. The fixture checks every returned bit against the independent explicit +interchange permutation and checks both padded native endpoints. Payload and +all four encoded descriptors retain their bytes and heads. `last_fitted` and the +two actual observer callbacks provide branch receipts. The initial independent +source replay additionally checked all 1,024 input-column provenance masks; +that expensive oracle is not repeated by the registered discriminator. + +## Legal warm histories + +The left engine completes the source fallback for width 1, consumes its protected +output, then executes the fitted target. The right engine completes width 2 with +a nontrivial gap, executes a fitted call on a different nonconstant packet, +consumes its output, completes another fallback with nontrivial prefix and +suffix, then executes exactly the left target payload and descriptors. Thus the +right stream is fitted/fallback/fitted and its native register queues were changed +by a successful genuine fitted invocation. Both target entries are warm closed +boundaries, avoiding a cold-versus-rearm comparison. + +The first, cheaper experiment used only the two different fallback histories. +They produced distinct `banks[0].available` orders and equal fitted action triples +`(79543744, 23380814, 82873286)`. That result did not test different native +`runtime.arena`/`runtime.indices` histories and is not substituted for the stronger +registered experiment. The registered test explicitly rejects a pair unless at +least one of these runtime queues differs at target entry. + +## Observations and charge boundary + +`state_model.snapshot` records all four outer arenas and the two runtime arenas: +free order, live slots, initialized flag, each stable slot identifier, template, +heads, meaningful content and per-role retained backing. It also records both +scratch lease inventories, outer scope state, output, dictionary-codec state, +heads and symbols. The fixture observes real numerical allocations and the first +two completed parking frames, including their encoded slot fields when frames occur. The fitted rank-2 +case records an empty frame list rather than implying that it parked a child. Host snapshots, +digests and allocation observers are checker tools; none is a reset, predicate or +free operation in the proposed machine construction. + +The measured interval begins immediately before `Ordinary.execute_plan` or +`Ordinary.run` and ends at its successful protected-output return. It includes +rearm, plan construction, numerical templates, both fitted roots, all descendants, +wrapper transfer and successful engine cleanup. Input/descriptor loading is +outside both matched calls. Post-return test consumption and borrowed-fixture +retirement are outside the interval. Every preallocated source `Tape` is counted +once, including all numerical roles. Both the dictionary codec's direct counters +and its interpreter counters are also counted once. Arena aggregate counters are +not added again to their underlying tapes. No elapsed-time result is treated as +an action theorem. + +The independently written lifecycle guard validates each consumed return and +checks per-slot historical backing monotonicity. It does not infer absence of +escaped Python references: sole ownership and no escaped numerical residents are +explicit caller obligations. Physical `Word` handles lack a generation check; +the stronger `ScratchPool.Lease` guarantee must not be imported into that API. + +Finite equality is reported as observed equality only. It proves neither full +history independence nor payload obliviousness. The source theorem and whole-root +comparison must supply those claims separately. + +## Open next questions + +The default selected catalogue and large-prime admission remain inherited. A +production-parameter execution is not claimed. If a future codec uses variable +slot widths, slot-dependent movement or data-dependent scan lengths, this fixture +must be supplemented and the context theorem rederived before reuse. + +The stronger completed-history discriminator returned the same action triple for +both identical target inputs and for the different nonconstant fitted payload. +Five queues differed at the identical-target entries: `banks[0]`, `banks[1]`, +`banks[3]`, `runtime.arena` and `runtime.indices`. `banks[2]` remained unused because +this source plan has zero remainder; it was still inventoried and checked. Runtime +residue and index allocations numbered 253,608 and 27,560 respectively in each +fitted invocation. These are observation counts, not added action charges. + +## Separate reached native recursive call + +`native_nested.run_cut()` uses the original source `ToyBinding`, mode-1 root +coordinate projectors and mode-0 children at width 4, 36 root rows and 9,216 +nonconstant bits. It reaches the first actual `Machine.call`, executes the +width-2 child, and checks its complete reversed-interchange endpoint from the +observed encoded shape. The actual parent PC advances 3 to 4. All saved numerical +objects return at their original physical slots with their bytes and heads; +all parked parent stream roles other than the changed current result and cleared +header are restored. The outer borrowed input survives. + +This cut performed one child call and one return, 13 residuals and 486 completed +macros. The actual parent frame contained 123,520 dictionary-codec symbols; +62 codec commands were executed. Reads/writes/unit moves through the returned +cut were `(41224159, 12308582, 42422092)`. An explicit disposal at this successful +primitive boundary uses source `close_frame`, `RootSession.finish(0)` and owned +marker erasure. Its separate observed invoice is `(83113, 41365, 83170)`. +The check requires every engine tape to be blank with head one afterward. +This disposal is **not** completion of the remaining parent root program and is +not a theorem about arbitrary interrupted macros. The other eleven root calls +are not executed by this bounded test. The independent child-endpoint and all-role +retirement guards are part of the final registered replay. + +The fitted payload recipe is +`((address*13) ^ (address>>3) ^ (address>>7) ^ seed) & 1`. +It varies with address and hence with the row/field decomposition. Changing the +seed in this recipe changes only its low bit; the distinct fitted payload control +is therefore a nonconstant complement, not an independent arbitrary-data family. +Neither this control nor the nested fixture enlarges the quantified domain by +itself. The source proof carries any arbitrary successful-payload quantifier. + +Dictionary-codec current blankness is kept separate from historical backing. +The final fixture continuously observes both direct codec head moves and the +literal two-tape interpreter steps from the first invocation, retains per-tape +minimum and maximum visited positions across generations, and includes those +bounds in its snapshots. These observations do not reclaim storage after erasure +and do not add host memory as a claimed machine action. diff --git a/research/qq16-native-history/LIFECYCLE.md b/research/qq16-native-history/LIFECYCLE.md new file mode 100644 index 0000000000..b8626ea86f --- /dev/null +++ b/research/qq16-native-history/LIFECYCLE.md @@ -0,0 +1,192 @@ +# Successful Ordinary return and retained native history + +This component follows Jose Manuel's physical Ordinary implementation retained +by #4167, through #4166/#4129/#3385 and the nested #2899 archive. It does not +change the six arenas, numerical arithmetic, codec or allocator. The Python +snapshots in `lifecycle.py` are checker observations, not machine operations or +an implementation of canonicalization. Their time and storage do not enter the +claimed machine invoice. + +## Six arenas and the legal cut + +The complete native engine owns four outer `PhysicalArena` objects: +`banks[0]` (body/modulus), `banks[1]` (high field), `banks[2]` (optional +remainder), and `banks[3]` (indices); its `RootSession` owns `runtime.arena` +and `runtime.indices`. All six capacities and physical Word/slot identities +are fixed at construction. Each bank separately retains its free stack, live +set, permanent template and per-slot physical backing. The numerical parking +codec references the two **runtime** banks, not the four outer banks. + +The relevant boundary is after a successful `Ordinary.execute_plan` has +finished and exited its outer factory scope, and after the caller has consumed +the protected ordinary output. At that boundary: + +1. Ordinary and RootSession are closed, and the outer scope is disabled. +2. Both scratch-pool live maps and all six numerical live sets are empty. +3. All six `initialized` flags are false. Their words and templates have blank + bodies and erased LEFT markers, with heads at one. Unvisited body cells may + be implicit blanks; their storage is not counted as materialized backing. +4. The complete free stacks are duplicate-free permutations of their fixed + slot domains. **No canonical order follows.** +5. RootSession's protected output is erased; the consumed Ordinary output is + blank with its legal LEFT-or-blank origin. Its caller must not retain the + result as a live protected value across reuse. +6. The numerical dictionary codec is `done`, has heads `(0,1)` and two empty + dictionaries. Its output-port origin has been erased by `RootSession.finish`. +7. All owned stream-role bodies are blank at canonical heads; borrowed payload + and descriptor bytes and heads remain the caller's property. + +These are successful-return conditions, not arbitrary exception recovery. +`RootSession.erase_work` is a different boundary: it preserves initialized +numerical templates and role markers for the second ordinary-wrapper call. +The outer wrapper also retains live numerical and scratch residents during +that inner call. It is therefore not a legitimate six-arena closed-state reset +site. `Ordinary.finish` and `RootSession.finish`, including the expected zero +or two completed inner roots, close that gap at the actual outer return. + +## Ownership and escaped handles + +The source `ScratchPool.Lease` has an `active` bit and validates live identity. +An ended lease's clear is a no-op and its live operations reject. Wentao Li's +#3993 supplies a source-bound regression method for that exact BIT pool. + +`PhysicalWord` has a different contract: it is a stable `(arena,slot,tape)` +view and has no lease-generation token. `Arena.free` validates that the slot +is currently live, rather than that a caller holds the current generation. +Consequently empty live sets and blank bodies do **not** establish absence of +escaped Word handles. A later slot reuse can make a stale handle point to the +new resident. A numerical-history transformation must retain the enclosing +ownership premise: no external observer/callback captures numerical Word +handles, and no live borrowed numerical resident crosses the selected cut. +The checker explicitly reports this premise; it cannot discover every host +reference or turn absence of live slots into a generation theorem. + +Ordinary's actual successful call discharges its internal ownership obligations +through `ExitStack` frees, program/directory disposal, pool closure and owned +marker erasure. Source observers are numerical-neutral and cannot retain +residents. Borrowed Tape/Count views passed to RootSession preserve outer +ownership; they must not be reinterpreted as owned scratch leases. + +## Numerical representation and backing + +`PhysicalArena.prepare` constructs its template from an encoded positive +maximum: bitlength(maximum)+1 binary digits followed by RIGHT. The physical +word extent is never supplied by a host-decoded width. Fitted execution keeps +body, high, optional remainder and index extents distinct, and initializes the +two runtime templates from the actual modulus and index maximum. Closure +erases those contents but does not shrink any tape's already visited backing. +A subsequent rearm initializes markers, then the next invocation prepares its +actual extents through the same source operations. Queue order alone neither +changes a numerical quantum nor permits replacing a stored width. + +For a fixed physical numerical role `r`, let `h_r(t)` be the maximum cell index +materialized by time `t`, plus one. The numerical backing is +`sum_r h_r(t)` over all six sets of Word roles and their six templates, and +`h_r(t)` is nondecreasing under source writes/erasure. The current blank body +and current live count are insufficient to reconstruct it. `backing_monotone` +checks this coordinatewise relation on finite receipts. It is not a total +space theorem: stream/count pools, payloads, code/continuation packets, +dictionary-codec visited coordinates and finite control must be counted +separately by the complete resource ledger. In particular a blank dictionary +contains no record of its formerly visited addresses; historical codec backing +requires an execution observer, not dictionary length at closure. + +Ross Richardson's #2831 proves a related backing invariant for fixed-width +`Arena` arrays, with growing slot inventories. It explicitly excludes physical +placement, encoded slot maps and movement. Here `PhysicalArena` preallocates +all slots, and each underlying Tape can have a different historical extent; +we adapt only the persistence argument and retain the per-role maxima. Nick +Petalas's #2923 supplies the common-cut method for adding numerical backing to +countdown backing; its ADD-specific constants are not a six-arena reserve. + +## Executable evidence and controls + +`validate_closed(snapshot(engine))` independently checks the consumed outer +boundary. It does not require equal free orders and does not charge its host +scans as machine operations. `validate_preserved` checks borrowed bytes/heads +while allowing a physically visited blank tail to enlarge backing. + +The twelve receipt mutants reject: one-arena-only accounting; a live resident; +an initialized template; a live scratch lease; an active outer scope; an +unconsumed protected output; a stale encoded slot record; an unfinished codec +command; a wrong codec head; a wrong numerical head; a duplicate free-stack +entry; and a false backing length. Mutants are negative checker controls, not +reachable history witnesses. Actual histories and fitted-branch coverage are +provided by the separate source-bound experiment. Finite checks do not replace +the successful-input and ownership premises above. + +## Open next questions + +If a new history alignment changes free maps, define its actual representation +and finite transition cost, and show all six maps are transformed only at the +safe outer cut. If it relabels encoded slots, prove the parking codec relation +including address-dependent scans and return restoration. Neither a host list +assignment nor the closed-state oracle is a paid mechanism. The complete +comparison must still distinguish changed-core inputs, service calls and +nonchild work after any covered same-payload context term is discharged. + +## Exact first-use potential of the original complex child controller + +This paragraph concerns the original complex `Machine` surrounding Ordinary, +not the six Ordinary arenas. Fix one newly constructed original-binding child +controller with `s` packet roles, at least one successful complete invocation, +and successful fixed-copy or proved adopted-output consumption between calls. +There is no intervening `discard`, reconstruction, or failed execution. Compare +its controller marker traffic with the same invocation sequence started from +the warmed closed marker pattern. Primitive-engine costs remain separately +subject to the numerical-history theorem; this argument cancels no such costs. + +`BankPackets.__init__` erases the origins of its `s` packets, bank output and +bank scratch pool. The remaining controller roles, private roles, capsule, +protected output and parking ports start with LEFT. `Machine.return_node` +executes `origin` and `clear` on **every parked role** before completing a root +return, regardless of rank or whether the node was a leaf. Thus all packet +origins are LEFT after any successful completed C invocation. + +Before its first use, each cold packet encounters one of three marker sites: +`BankPackets.gather` calls `arm_empty` on all packets, `Machine.enter_child` +calls `origin` on all parked roles before parking, or `return_node` calls +`origin` on all parked roles before their final clear. These exhaust the first +packet touch in the source. Both marker helpers perform the same reads and +moves on LEFT and BLANK origins, and one additional write exactly when the +origin is BLANK. At the first such site the cold and warm packet marker states +join. Subsequent packet release may erase the marker, but does so in both +executions, preserving the joined relation. Consequently cold packet markers +add exactly `s` writes over the entire nonempty successful backend epoch. + +The protected C output gives the opposite one-time contribution. Its constructor +leaves LEFT, while both external fixed-copy consumption and #4167's proved +child-return adoption leave the next backend output with a BLANK origin. The +first `return_node` calls `origin(output)`; it therefore saves one write on the +fresh backend. If the first call contains descendants, this is the first +descendant return, and `transfer(output, packet(target))` preserves the output +LEFT marker thereafter. Subsequent root output consumption joins the warmed +pattern. Bank output and bank scratch origins are BLANK at construction and +returned BLANK after every use; all other controller markers are LEFT in both +patterns. There is no further controller marker discrepancy. + +Hence the exact cold-minus-warm controller potential is + +``` +(delta reads, delta writes, delta moves) = (0, s - 1, 0). +``` + +For the selected original backend `s=704`, it is **703 writes once**, not once +per child, owner, recursive descendant or Ordinary invocation. The local source +control in `marker_potential_control` executes the actual `origin` and +`arm_empty` implementations on actual Tape roles for `s=1,2,704`; it checks +both helpers and exact counter differences. Its 704-role case tests marker +handling only, not a production payload or complete C call. Constructor and +terminal retirement costs remain in their enclosing ledger. + +In #4167 B, `adapter.install` retains `root_layer.machine` as the one original +child backend. In frozen #4166 D, `connection.install` passes that same original +object to both producer and service machines and to `Installation`; it does +not construct a second original C backend for service. Successful calls do not +invoke their exception-only `discard` methods. The source census gives each +variant positive backend use, so both have the same one-time 703-write +potential and it cancels in the complete B/D comparison. This is a whole-epoch +cancellation: do not attach separate first-use adjustments to paired occurrences +or to the 336 service calls. A zero-call run, early failure, discarded/rebuilt +backend or changed output-consumption policy is outside this cancellation and +must retain its own entry/exit correction. diff --git a/research/qq16-native-history/MECHANISM.md b/research/qq16-native-history/MECHANISM.md new file mode 100644 index 0000000000..86245d2d30 --- /dev/null +++ b/research/qq16-native-history/MECHANISM.md @@ -0,0 +1,219 @@ +# Native-history action equivariance + +Chris R with OpenAI Codex assistance. This adapts the source semantics of Jose +Manuel's #2899 Ordinary/PhysicalArena and numerical caller, the retained +#2769/#2635 numerical parking lineage by ywz65, and #3385's actual complex +composition. The authenticated #4167 closure is the scientific input. No +predecessor bytes, allocator queue, slot identity or numerical implementation +are changed. The executable `mechanism.py` is a checker and source-kernel +experiment, not an extra runtime operation. + +## Statement and precise domain + +Fix the compiled source, capacities, programs, q, numerical/descriptor widths, +and profiles. Use the same authenticated deterministic plan selector/factory, +independent of allocator order, and semantically inert observers. Compare two successful invocations of retained +`ordinary.Ordinary.execute_plan`, including its genuine fitted branch and all +recursive native children. At entry require the same encoded borrowed payload +and descriptors at the same heads, the same empty output contract, and the +same fresh/rearmed marker phase. All six arenas are source-owned, have no live +or escaped numerical residents, and have the source-defined template state; +the runtime codec is at its exact closed baseline. Different **legal free-slot +orders and previously visited blank backing are permitted**. Exclude active +reentry, interrupted/failing invocation recovery and externally retained +handles to released slots. + +Then both invocations have equal ordered (reads, writes, unit moves) totals, +equal semantic output bytes and output heads, and preserve the same borrowed +bytes/heads. They restore the corresponding successful closed state, permitting +different resulting free orders and historical backing. Equality is coordinate +wise and so holds under every fixed positive weighting of these three actions. +It is not equality of Python wall time, total implementation instructions, +physical-role trace addresses, or per-role high-water space. + +The theorem compares **equal corresponding numerical values**, not arbitrary +arithmetic inputs. A separate source data-flow argument is required to extend +it to changed payloads whose numerical control computations are equal. In +particular `Ring` and `Unsigned` have value-dependent paths; this theorem does +not erase changed-core dependence by fiat. + +All calls in the actual complex composition enter Ordinary warm: the retained +`CompactEngine` constructor explicitly completes `native.finish(False)` and +erases its output marker before exposing the engine. The actual invariant +therefore supplies matched marker phase even at the first monomial invocation. +`Binary.run` also erases the consumed native output marker after each return, +so subsequent complex calls retain that warm-erased phase. Generic standalone +Ordinary clients need the rearm correction below. + +## Source access boundary + +The relevant source modules are loaded from the immutable archives behind +#4167's authenticated runtime, rather than a replacement numerical model: + +| Source | Slot/history-sensitive sites | Treatment | +|---|---|---| +| `physical_words.PhysicalArena` | fixed `words`, `available`, `live`, `initialized`, template | Six fixed role inventories; preparation and marker retirement scan actual tapes. | +| `words.Arena` | `zero`, `free`, `free_many`, `rollback` | Allocate/pop and free/push fixed labels; numerical bodies use corresponding logical word handles. Rejection rollback is outside successful theorem. | +| `bank_codec.BankParking` | sorted live-slot scan; fixed-width label serialization; original-slot restore | Equal-length records within each bank; phased parent/child relation below. | +| `macro_machine.Machine` | `boundary`, `call`, `restore_context`, frame closure | Typed header references to modulus, one, cap, size and depth are mapped, saved and restored with their parent activation. | +| `role_parking.FiniteFields` and `RoleParking` | fixed-width header fields, four-bit symbol encoding | Equal lengths and fixed scans, even when encoded slot digits differ. | +| `session.RootSession` / `ordinary.Ordinary` | six-arena prepare/erase/rearm, fixed pools, codec baseline | Marker phase and corresponding widths are included, not inferred from `.closed` alone. | +| `controller.Callback`, `children`, `numeric` | protected live sets | Corresponding logical resident sets; no slot-valued numerical operand. | +| `scratch_pool` | separate slot/lease map | First-free fixed pool has no persistent available-order queue. Identical logical allocations have identical live pattern. Its lease generations are not PhysicalWord safety. | + +Numerical record methods in `records` use encoded **numerical index values** to +seek stream records. Those are not PhysicalArena slot labels and are preserved +as numerical data. `PhysicalWord.slot` denotes a fixed tape role, not a distance +along one tape. No head jumps or dictionary host lookup distances are imported +into the action tariff. The dictionary codec separately charges every literal +read/write/unit move and every executed two-tape interpreter transition. + +## Phased relation, not one fixed permutation + +1. **Active numerical computation.** Pair every live logical word handle with + its counterpart, preserving arena, value, width, head and alias relation. + Pair the remaining free slots by their ordered position in each available + stack. Pop extends the live bijection; free removes the handle and pushes + its paired labels. Equal-value arithmetic follows the same bit tests, + carries, loops and allocation/free schedule. Every corresponding read, + write and unit move has the same charge. Template copies are width-equal. + Object-identity shortcuts, such as `a is b`, are preserved by injectivity. + +2. **Parent suspension.** Save the parent logical handle map and the five typed + numerical references in the finite header. `numerical.park` scans each + fixed capacity in physical-slot order. A global permutation need not + preserve that order: logical records can be reordered. Nevertheless the + same number of live, non-granted records is written for each bank, and all + words in that bank share the same template width. Fixed-width bank/slot + digits have the same length. The bit-erased two-tape machine has identical + control and action shape. Hence the complete frame has the same length and + action bill; equal-length record permutations do not change stack head + displacement, including above an existing matched-length suspended prefix. + +3. **Child activation.** Child grants are corresponding retained live words; + all remaining slots are paired afresh by available-stack order. This map + need not equal the suspended parent's map. Child allocation may reuse a + parked parent's physical slot, legally, because its body was erased and + its logical parent value lives in the saved record. The child induction + preserves its own numerical values and exact return contract. It frees all + grants/work before restoration. No inactive parent object is used as a + current resident. + +4. **Parent restoration.** Each source record carries its own bank and original + slot label. `_restore_word` selects that exact original slot, moves it to + the top of the finite free map and allocates it. Equal-width records restore + the saved parent words at their original physical objects. Both executions + therefore recover their respective saved parent bijection even though they + pop different logical orders. After the whole frame, re-pair the still-free + slots in queue order. `restore_context` consumes the restored typed header + references and rebinds modulus/one/cap/size/depth; their numerical values + remain equal. This is a separate activation-domain relation, not a claim + that a single physical permutation commutes with sorted parking. + +5. **Root completion and repeated use.** Each successful session closes live + scopes and templates exactly as the retained source specifies. Empty-role + marker scans depend on the complete fixed inventory, not previous capacity + usage. The two fitted outer native calls retain initialized templates in + between; no reset is inserted there. At eventual Ordinary completion every + resident is released. A new invocation can begin with a different free + order, so induction covers arbitrary finite sequences of successful calls + and all finite terminating recursion depths admitted by the source. + +The proof preserves arbitrary legitimate prefixes/suffixes, spectators and +nonconstant correlated payloads under equal-input hypotheses. Numeric width, +range, exact C arithmetic and all admission/termination premises are inherited. + +## Exact numerical codec invoice + +Let bank b have capacity c_b, word data width w_b, slot width +s_b=max(1,bitlength(c_b−1)), n_b=1+s_b+w_b binary record bits, and m_b parked +words. For a complete matched numerical park/restore frame with canonical heads +and no retained grants, excluding the intervening child body, the source bill is + +``` +(R,W,M) = (15,2,12) + + sum_b m_b (14 n_b + 10 w_b + 32, + 6 n_b + 3 w_b + 8, + 12 n_b + 10 w_b + 30). +``` + +The source-derived decomposition per word is: + +| Component | Reads | Writes | Unit moves | +|---|---:|---:|---:| +| `_supply` | 2n+2w+5 | n+1 | 2n+2w+6 | +| interpreter `push` | 4n+6 | 2n+2 | 3n+3 | +| source `Arena.free` | 2w+3 | w+1 | 2w+4 | +| restore top test + interpreter `pop` + `_restore_word` | 8n+6w+18 | 3n+2w+4 | 7n+6w+17 | + +The frame overhead includes both empty-port checks, begin/end, final F test and +all rewinds: park (6,1,5), restore (9,1,7). Loop terminator reads, append checks, +RIGHT/LEFT markers and empty cases are counted. Granted words change which +records are parked, not the fixed scanning count or record tariff. Their later +child destruction is part of the child bill, not this expression. + +`mechanism.checks()` uses actual capacity-four PhysicalArena instances. Legal +completed numerical allocations/frees produce orders [3,2,1,0] and [3,0,1,2]. +The same logical nonconstant words occupy [0,1,2] versus [2,1,0], so their encoded +slot IDs and record order genuinely differ. Real park, intervening child reuse, +and restore cost (1273,460,1168) on both sides; after removing the measured child +body the exact formula gives (1179,428,1068). Original object identity, values, +heads and all terminal numerical/codec cleanup are checked. This kernel fixture +supports the proof; the separate fitted tests exercise actual Ordinary recursion. + +All 490 entries of the actual parking transition table collapse consistently +into 360 classes after replacing 0 and 1 by a common binary-symbol shape. Next +state, write presence and head moves coincide. A mutation making one binary +value move a different distance is rejected. This finite table certificate, +combined with the fixed-width loops above, proves bit-shape action invariance; +finite equal timings alone would not do so. + +## Freshness, control and storage + +For a standalone warm engine let K be the number of markers initialized by its +literal `rearm` loops, excluding its own output and dictionary packet marker: + +``` +K = |outer pool| + sum_four_banks(capacity+1) + + |runtime roles| + |runtime handoff| + |runtime pool| + 1 + + (runtime arena capacity+1) + (runtime index capacity+1). +``` + +Each `initialize_marker` costs (2,1,2). Own-output checks cost (2,e,2), with + e=1 for a BLANK marker and e=0 for an already retained LEFT marker; dictionary +marker preparation costs (1,1,2). Thus the exact rearm bill is +(2K+3,K+e+1,2K+4). A fresh standalone invocation skips this bill. The source +complex Compact path starts and returns in the same warm-erased phase, so equal +call comparison includes the same rearm work rather than treating it as free. +The actual marker-only capacity-four control checks K=452 and rearm actions +(907,453,908) with retained LEFT versus (907,454,908) with erased BLANK: a +false-canonicality claim would miss exactly one write. This is explicitly a +marker control, separate from the genuine fitted arithmetic evidence. + +The result introduces zero runtime resets, zero fresh engines, zero extra +physical tapes and zero numerical-width work. For finite-control realization, +capacity c is fixed before input: an available ordered free list and its live +complement have at most (c+1)c! representations. Six queues therefore require +at most ((c+1)c!)^6 states (a deliberately loose bound). Each pop/push/live test, +stable slot selection and removal/reappend is a direct transition on that +finite state. Slot-bit decoding keeps its s_b literal steps. This supplies a +fixed resource realization without a width-dependent sort or scan. It does +not assert Python `list.remove`, dictionary access or `set` operations take the +same elapsed time. Enclosing instruction/selector compilation costs retain the +separate model and threshold in the complete comparison. + +Previous visited blank cells are not reclaimed. The theorem permits differing +high-water totals on individual physical slots; only current numerical contents +and heads participate in action coupling. Any total-space claim must sum the +historical maximum backing over each fixed role, including both codec tapes. +No-escaped-resident ownership is a source premise, not discoverable from an +empty `live` set: old Python Word references are not generation-checked leases. + +## Open next questions + +The history result removes the native allocator-order residual on the stated +same-input domain. It does not itself price changed numerical descriptors, +additional producer/service work or any unmatched controller context. Apply the +complete comparison ledger and a separate data-flow proof before cancelling +changed-core calls. The physically worthwhile decision remains governed by +that full fair-baseline inequality, not this local equivariance theorem. diff --git a/research/qq16-native-history/PROOF.md b/research/qq16-native-history/PROOF.md new file mode 100644 index 0000000000..4d6ba8ce8c --- /dev/null +++ b/research/qq16-native-history/PROOF.md @@ -0,0 +1,109 @@ +# Composed source-relative context theorem + +Chris R / Clear1nsight with substantial coordinated OpenAI Codex assistance. +Apache-2.0. This written proof is not a proof-assistant kernel result. Original +numerical/controller/source contracts and attribution are preserved in README, +REUSE and the immutable predecessor archives. + +## 1. Typed domain + +Fix the authenticated #4167 closure and one source-admitted outer root at the +same prepared RootLayer fast-core entry and completed public output boundary. +All descendant C programs remain the original selected binding. Fix complete +physical descriptors: prefixes, rows and depth law, root/active widths, spacing, +guards, residue, coefficients, spectators/front/back fields and stored H_b. +Logical coarse width, working reserve, H_b and address guard are not identified. +Both compared executions successfully satisfy the inherited exact numerical, +row-stock, ordinary/Compact, hosting and long-record hypotheses. + +At an Ordinary boundary all six arenas and templates are exclusively owned; +there are no live or escaped numerical handles, scratch leases or protected +returns. The codec has its exact closed state and heads. The same deterministic +authenticated plan selection is used, with semantically inert observers. +Different legal available orders and blank visited backing are permitted. +Fresh/warm marker phases are matched or their exact tariff is retained. +No failed or interrupted execution is repaired by this theorem. + +## 2. Native history, including recursive contexts + +MECHANISM.md gives an activation-local live-handle bijection and a free-stack +order pairing. Source allocation extends the map; free removes a corresponding +logical resident. Numerical operations compare equal logical values with equal +widths, heads and alias relations. Fixed slot labels name tape roles, not a +distance moved by a head. + +Before native recursion, preserve the parent handle map and typed references +in its finite header. Actual BankParking scans every compiled slot, parks the +same number of equal-width records in each bank, and serializes fixed-width +slot IDs. Physical sort order can change the logical record order, so a single +global slot permutation is not asserted. The complete binary-erased transition +table certificate proves the codec's bit-independent action shape. Its literal +park/restore tariff counts loop tests, delimiters, append checks and rewinds. + +While suspended, the parent values reside in those records. Pair child grants, +then pair remaining free slots afresh. Child induction preserves its successful +return and releases its work/grants. Each saved record restores its exact +original Word object at the recorded slot. Parent header restoration reinstates +the saved activation map. This supplies induction for every finite terminating +native call tree, not merely the tested queue examples. Inner native returns do +not imply complete Ordinary closure: outer residents/templates persist between +its two fitted calls. The protocol introduces no reset at either boundary. + +Thus equal logical numerical input and descriptor information imply equal +source R/W/unit-move totals despite legal allocator-order differences. Literal +slot strings and physical-role high-water backing need not be equal. + +## 3. Coefficient-payload opacity and current values + +COMPARISON.md separately partitions descriptor/address words from coefficient +bits through Machine, scalar and Gaussian leaf scans, phase/Compact routing, +Binary and Ordinary, and the native dispatcher. Payload bits never become +numeric loop/address words in that closure. Carries can change emitted bits; +parity/headroom checks can reject, but paired successful scans perform the same +tape operations at each fixed component width. Routing, exceptional keys and +native Ring coefficients derive from descriptor/address state. + +This does not assert arbitrary Ring arithmetic is value-oblivious. Its inputs +in the paired call are equal address/control values, to which section 2 applies. +Induct over the original C call tree with equal complete geometry. Coefficient +payloads, owner correlations and dirty values may differ within the successful +entry domain; all descriptor-controlled subcalls and R/W/M schedules agree. +Their endpoint correctness is still the inherited exact C theorem. Failed +range/quantum inputs and changed geometry are outside this statement. + +The actual complex constructor and Binary return establish warm-erased +Ordinary output markers. Standalone fresh/warm equality is not inferred from +closed flags: the measured rearm formula retains the one-write output-marker +correction. Controller first-use potential is accounted separately in LIFECYCLE. +Finite-control comparisons/list operations are not silently charged as zero +elapsed time; the fixed allocator-state realization and remaining compiler +tariff are explicit in MECHANISM and the complete ledger. + +## 4. Incremental consequence, fairness and stop + +The authenticated literal census pairs all 510646 retained occurrences per +Gamma, including 503674 same-payload and 6972 changed-core occurrences and +the full 493097 later suffix. The actual descriptor construction gives equal +complete child geometry, not just equal ranks. For service rank-one calls, +its encoded rows equal U times its own families times Gamma, so its child +division recovers the same U as the producer's rank-one calls. + +Sections 2 and 3 remove retained native/body action uncertainty. They do not +erase the two additional caller-header bits: writing, reading and clearing +them costs 28 actions per retained occurrence, or 14298088 Gamma total. +The unmatched 32 producer plus 336 service rank-one bodies and the removed +16 rank-eight B bodies yield the exact reduced threshold in COMPARISON.md. +All acquisition/compiler, maps/scalars, complete-bank movement, service +assembly/extraction, publication/disposal, setup and unmatched protocol shells +remain explicit; descendants are included once in E_r. + +Using B* can only strengthen the baseline. Frozen D is not silently granted +the earlier return exchange. A fair both-adopt equation is stated only for a +separately implemented compatible D*; the generic parking and prior whole-bank +publication credits are never counted again. + +This resolves a major context implication left open by #4167 and supplies a +substantial enabling context theorem. It does not settle the sign of the +remaining geometric comparison. No new recovery construction round is justified +while that necessary comparison remains unpriced. There is no all-node supplier, +bootstrap or new exponent consequence. diff --git a/research/qq16-native-history/README.md b/research/qq16-native-history/README.md new file mode 100644 index 0000000000..feb2db1671 --- /dev/null +++ b/research/qq16-native-history/README.md @@ -0,0 +1,123 @@ +# Native-history action coupling and the incremental QQ16 decision + +Chris R / Clear1nsight, substantial coordinated OpenAI Codex assistance. +Apache-2.0. This is the assigned continuation after #4167. It adds a +source-bound context theorem and executable evidence, not another caller, +parking protocol, ownership exchange, supplier or exponent claim. + +The actual Ordinary allocator retains free-slot order after closure. We resolve +its effect on source read/write/unit-move costs by a phased logical-handle +relation, including numerical slot serialization and exact parent-slot return. +No state reset, queue assignment, new engine or physical tape is introduced. +Successful coefficient-payload scans are separately shown action-oblivious at +fixed source geometry. Consequently all 510,646 Gamma retained external C +body costs can cancel, including the 6,972 changed-core occurrences, within the +stated successful source domain. A blanket history-independent runtime or +space theorem is not claimed. + +The reduced complete action comparison is + +``` +T_D - T_B = Delta_N + Delta_shell + 14298088 Gamma + + 368 Gamma E_1(g) - 16 Gamma E_8(g). +``` + +E_r is the complete original external C action bill, descendants once, at its +actual packet geometry and named marker class. Delta_N retains the complete +acquisition/compiler, producer/service nonchild, bank movement, publication, +disposal and startup difference. Delta_shell retains unmatched preparation and +return shells. Finite-control costs remain a separate currency/threshold. +The full sign remains unknown: no recovery-specific win follows. Stop expansion +of the frozen recovery mechanism while these geometric prices remain unpriced. + +Against stronger B*, frozen D additionally owes B*'s already proved return +saving. A hypothetical fair both-adopt comparison is explicitly conditional on +implementing the exchange at every required D site; frozen D is not changed. +See [COMPARISON.md](COMPARISON.md) and [RESOURCE.md](RESOURCE.md) for the full +ledger, geometry, fair-baseline adjustments and remaining costs. + +## Evidence and domain + +- [MECHANISM.md](MECHANISM.md) proves the phased six-arena slot/codec relation; + [PROOF.md](PROOF.md) composes it with payload opacity and the caller census. +- All 490 actual parking-machine transitions have a binary-erased action-shape + certificate (360 classes). A bit-dependent movement mutant rejects. Actual + legal source allocation/free and park-child-reuse-restore preserve parent + objects, values, heads and terminal codec cleanup with differing slot IDs. +- [HISTORY.md](HISTORY.md) records actual fitted Ordinary calls after legal + completed histories. These use the retained declared small grammar, actual + fitted execution and encoded native machine, not production select admission. + Different free orders reach both runtime arenas. Repeated fitted/fallback/ + fitted execution, nonconstant payloads, borrowed bytes/heads, output identity + and complete outer cleanup are checked. Complement-payload equality is finite + evidence, not a universal payload theorem. +- [LIFECYCLE.md](LIFECYCLE.md) distinguishes successful outer closure from inner + session cleanup, excludes escaped PhysicalWord handles, and retains per-role + historical backing. One-arena-only, live scope/resident/lease, stale record, + codec/head, false free partition and backing-under-count controls reject. +- The separate width-four native fixture reaches a real width-two child return, + checks its endpoint and saved parent state, then explicitly disposes the stopped + parent with a separate bill. It does not complete that parent program. The + inherited #4167 reduced prefix/both-bridge-legs/suffix fixture is also replayed. +- Actual marker controls detect a one-write BLANK/LEFT output difference. + Equal marker phase is part of the relation; closure flags alone are not enough. + The original child backend's exact once-only 703-write marker potential cancels + over B and D's nonempty successful backend epochs. + +Source authentication precedes inherited execution. The unchanged #4167 +package is a self-contained committed archive with its original notices and +nested dependencies, authenticated by its manifest; canonical live inputs have +SHA256 and Git-blob bindings. Scientific main is +`12fa8c5c844be21bfefb38a19503fbd867a11244`, priority revision 7; frozen #4167 +is `6749e458800f461535d64cc91c017552d9f55e5f`. Review/publication heads are +separate. Coverage-limited open/closed PR and Discussion searches are recorded +in TASK.json; neither search caps nor merged status establish scientific novelty. + +## Reproduction and limits + +``` +python3.12 -B scripts/research_package.py --package research/qq16-native-history +python3.12 -I -Werror -B research/qq16-native-history/verify.py +python3.12 -I -O -Werror -B research/qq16-native-history/verify.py +``` + +The default verifier performs the actual fitted scientific replay and compares +whole typed receipts. EXECUTION.json uses compact JSON to retain every physical +observation without a quarter-million-line pretty-printed diff. `--check-only` authenticates and checks receipt transport +without repeating that fitted work; it is not a replacement scientific replay. +`--write` only creates absent receipts. Final registered/export, source-history, +frozen assisted-review and hosted-CI status are reported in VERIFICATION.md and +the publication record, not inferred from these commands being listed. + +Production O73 payloads and complete RootLayer.run are not executed. The +quantified arguments retain original successful native completion, source +entry/stock, physical widths/grids, exact C, Ordinary/Compact, hosting and +long-record premises. Different allocator histories may retain different +physical backing. No arbitrary interrupt recovery, all-node substitution, +complete supplier/bootstrap theorem, human acceptance or formal-kernel proof +is claimed. Selected kappa remains +`836330098538459/500000000000000000`. + +## Credit and reuse + +Jose Manuel's #2899 Ordinary/PhysicalArena and #3385 complex controller supply +the actual implementation; ywz65's retained numerical parking lineage supplies +the codec. Sagar Thakrar's #3464 parent restoration and Tekalign's #3380 +ownership method remain inherited through #4167. Ali Romman/QQ16, Arham Tahir, +and the #3985/#4015/#4106/#4109/#4129/#4166/#4167 lineage retain their credit. +Ross Richardson/#2831, Nick Petalas/#2923/#2982/#2951, commdata2338/#3233 and +Wentao Li/#3993 supply the carefully limited methods/regression evidence in +[REUSE.json](REUSE.json). No incompatible tariff is transplanted. Original +notices remain in the retained archive. Coordinated assisted review shares +source/checker dependencies and is not independent human acceptance. + +## Open next questions + +Price E_1(g), E_8(g), Delta_shell and the complete Delta_N from the literal +geometric execution, with matched exact prices or compatible sign bounds. +Start with one admitted rank-one/rank-eight geometry and the actual source +nonchild scan/descriptor operations; retain all physical widths, service +assembly and the later root suffix. The native-history parameter no longer +needs to be guessed or reset. The full necessary inequality and separate +finite-control tariff must pass before any further fixed-mechanism recovery +expansion. A changed consumer demand is a different explicitly scoped premise. diff --git a/research/qq16-native-history/RESOURCE.md b/research/qq16-native-history/RESOURCE.md new file mode 100644 index 0000000000..deccb70cdf --- /dev/null +++ b/research/qq16-native-history/RESOURCE.md @@ -0,0 +1,112 @@ +# Native-history resource boundary and complete cost obligations + +Chris R / Clear1nsight, substantial OpenAI Codex assistance. Apache-2.0. +All numerical, Compact and original controller inventories retain their source +attribution and admission premises. No canonical reset is implemented here. + +## Six arenas, no new engine and no reclaimed storage + +The inherited Ordinary constructor creates four `PhysicalArena(capacity)` +banks and two further arenas for `RootSession` numerical/index roles. The +history relation covers the six available queues, live roles, word templates, +codec state and canonical heads. A word's slot number identifies a fixed +physical tape role, not a head coordinate on one long tape. Permuting roles +therefore does not by itself move a head a distance equal to the slot number. +Serialized identifiers still have real tape actions; those are covered by the +codec theorem rather than erased from the invoice. + +No new engine, queue copy, sorting pass, canonicalization/reset, numerical +reserve, scratch bank or persistent record is added by the action relation. +The checker fingerprint is observation only. The relation does not require +initializing a precision-dependent state at no cost. Existing preparation, +markers, encoded maxima, codec and template erasure remain in actual calls. + +With `M=2q^2+100696145`, #4167's inventory remains: + +| Variant | Fixed tape inventory bound | +| --- | ---: | +| A original |678+M| +| B / B* |678+M+1023| +| frozen C / D |678+3M+2^20| + +B's1023 controller tapes and66496 setup/terminal action bound are inherited, +not new savings. D's three distinct Ordinary pipelines are not replaced by a +shared one merely because action equivalence can now be proved. The actual +parent remains suspended while service runs, and the dedicated original child +is sequentially reused with both controllers. The source's exclusive ownership +and successful closed-state obligations remain mandatory. + +Historical backing **does not** become equal from equal current contents or +from action equality. For physical role t let H_t be the greatest visited +coordinate (with the source convention for negative marker cells). Its storage +cost is retained after erase; aggregate backing is the sum over all physical +roles and concurrently live engines. Different histories can distribute old +high-water values differently. A role bijection maps current word lengths and +heads, not necessarily H_t. Consequently the history theorem proves neither +space equality nor storage dominance. Preserve each run's historical backing +receipt, and keep the inherited geometric/long-record bound separately. + +## Actual reset sites if a later protocol changes state + +Ordinary is called only through the positive-width Binary branch inside +Compact swaps. A successful monomial with f columns, r outer rows, e early and +l late gates makes zero Ordinary invocations when f=1 and r(4e+12l) when f>1. +The latter count repeats for every source monomial and original C descendant, +including producer/service maps and line wrappers. Neither root callback +counts nor an unfiltered Compact.calls counter is a legal reset-site census. + +A future canonicalization policy would have to pay each selected invocation's +six-arena/control/template/codec work and provide successful closure, borrowed +preservation and marker contracts. A common upper bound on B and D resets +cannot establish exact cancellation. Here that work is absent because no +runtime reset is introduced; the compiler and source action model remain the +original ones. Compiled finite slot selection may be modelled separately from +R/W/M, and no Python list operation is asserted to have zero runtime cost. + +## Geometry and complete incremental bill + +For prefix count P, per-owner unused rows U, actual component width H_b, +coefficient count c and complete encoded address width b, + + row_bits = 2 H_b c 2^b, + v = P U row_bits, + V = Gamma v, + B_bank = 14336 V, + S_service = 448 V = B_bank/32. + +Active rank reduction moves axes into after; it preserves the full v-bit +packet. Logical coarse precision, native working reserve, physical H_b and +address guard are distinct. Root stock and the inherited depth law remain +required. No physical volume receives an extra Gamma after it already counts +all owners. + +The complete comparison retains these disjoint categories: + +| Category | Placement and obligation | +| --- | --- | +|All510646Gamma retained child bodies|History/payload theorem at equal descriptors and marker class; header difference14,298,088Gamma retained separately.| +|32Gamma added producer and336Gamma service children|Full original rank-one C.run, descendants once, plus actual preparation/return shells.| +|16Gamma removed centres|Subtract the full rank-eight **B** child bill and its removed shell; never substitute A's larger embedded bill.| +|Producer nonchild change|All new scalar, map cycles,128 line monomials,528 map translations, private zeros and removed original centre wrappers.| +|Service nonchild work|1696 monomials,3484 direct scalar dispatches,176 exchange-internal negations and48 private zeros perGamma; do not double-charge internal negation.| +|Bank movement|Every14479/51 producer group perGamma (versus2 original groups),2022 service groups, acquisition and final parent publication.| +|Packet/compiler|Actual encoded descriptor validation/construction, rows, segment counters and complete448-family source bank assembly.| +|Output/restoration/disposal|Borrowed224 fields checked,224 owned outputs extracted,224 fixed destinations, source and protected banks disposed; public ports fixed.| +|Startup/terminal|Actual constructor/marker-class differences, all extra engines and auxiliary pools; no spare engine treated as free.| +|Control|Source finite selection, cycle leaders, fence predicates, slot allocator/codec compilation and ownership binding changes under the chosen control tariff.| +|Space|Simultaneous parent/service/native state, service assembly and protected return each448V, live outputs/private roles, all historical backing.| + +Assembly/extraction's inherited4096*(S+448P*(bE+1)+bP+D_service+1) is an upper +bound only. It does not establish a signed difference and excludes encoded +field-prefix/outer setup and the service Machine's actual execution. It cannot +be inserted as an exact price into `comparison.reduced_threshold`. + +## No unsupported resource consequence + +This package removes a context cost uncertainty for related successful source +executions. It does not remove D's extra engines, give a complete physical +invoice for all new arithmetic, or show that those engines are affordable in +an all-node supplier. It also does not turn the current selected exponent into +a proved improved exponent. The stopping rule remains: no fixed-mechanism +recovery expansion while the reduced complete necessary inequality is failed +or unpriced. diff --git a/research/qq16-native-history/RESULT.json b/research/qq16-native-history/RESULT.json new file mode 100644 index 0000000000..ec602569ba --- /dev/null +++ b/research/qq16-native-history/RESULT.json @@ -0,0 +1,149 @@ +{ + "authenticated_inputs": { + "certificates/selected-result.json": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129", + "notes/batched-complex-rows.tex": "64c70926a8705874f1c9b42a2f703e42cad4e90f927f544458cfdf729540236c", + "notes/compact-control-layout.tex": "2bc28e50f3eb092195294cafa81213e520f6d42e7935e9905ad8a6199e2a7c87", + "notes/compact-control-movement.tex": "b963c3d2f4e1b7059aa289bb4b4ac89b688920bcf42f5b20d7698cdef0132cc6", + "research/bit2234-stock-threshold/README.md": "1e050c9f963421d751d9208092f9a15321ed77810e03912df8eb5eb56bbb06e7", + 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"schema_version": 1, + "task_id": "joint-query-controller", + "scope_key": "73442cf25caf1ed45f11", + "priority_revision": 7, + "base_commit": "12fa8c5c844be21bfefb38a19503fbd867a11244", + "original_card": { + "id": "joint-query-controller", + "question": "Can the installed QQ16 caller win a complete matched protocol bill, or can a changed demand eliminate actual paid work?", + "starting_points": [ + "docs/research/research-family-status.md", + "certificates/selected-result.json", + "research/qq16-caller-install/README.md" + ], + "methods": [ + "Derive the matched whole-caller physical bill for installed and baseline protocols.", + "Change the actual demanded observations and prove a cheaper legal producer/consumer contract." + ], + "acceptance_gate": "Name the changed premise of the fixed F0/B1 observation obstruction. Show exactly which query is recovered, legal native reads and restoration, and a full favorable budget including cover maps, helpers and endpoints. Local inverse identities alone do not close the global controller. A scoped local result may be retained without a complete supplier. Expanding it into further construction rounds requires the family-level budget and obligation gate in research-family-status.md; an optimistic passing relaxation alone is not acceptance.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #4166 COST.md and ADMISSION.json. An actual caller connection is now proposed. Its native-component profile loses; parent park/restore versus external-call costs remain unresolved. Retain the producer and recovery lineage rather than rebuild it.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "At the actual installed cut, compare matched complete parent park/restore and external input/return protocols at the same bank/packet geometry, including every later root call and service cost. Alternatively pin both bridge observations and derive a genuinely smaller source-compatible demand. Stop if the complete necessary inequality fails or an essential cost is unknown; no larger decoder scan from a local tape-action saving.", + "bottleneck_link": "The native local words exist; retained query information and its physical access are the missing link to a composed recursive interface.", + "allowed_variations": [ + "One paid query, one changed first pair, or one precisely specified affine helper state.", + "A counterexample or lower bound for that exact proposed repair.", + "One unresolved obligation of a newer local decoder, with exact source heads and a distinct claim/domain." + ], + "scope_change_triggers": [ + "Retaining the fixed first pair and ordinary schedule while allowing only homogeneous selected-only control, already excluded by the witness.", + "Treating cover-map counts as zero-cost physical address operations.", + "Recreating the pending complete local decoder or early-record/output-bank coalescing already under investigation without a distinct audit or changed premise.", + "Treating a completed-output defect inequality as a producer-interior, dirty-range or physical-cost certificate.", + "Recreating completed-output recovery or caller wiring already supplied by #4166 without new independent coverage.", + "Dropping retained later root calls or claiming native-profile dominance from the isolated publication saving." + ], + "overlap_terms": [ + "QQ16", + "joint-query", + "changing-chart controller", + "selected observation", + "1969", + "2540", + "early record", + "output-bank retention", + "complete native decoder", + "2965", + "producer defect", + "dirty-helper range", + "F17 consumer", + "4166", + "qq16-caller-install" + ], + "existing_checks": [ + { + "scope": "PR #4166: author-checked installed producer/service/return/bridge connection; native-component comparison loses.", + "evidence": "research/qq16-caller-install/README.md", + "remaining": "Complete matched physical protocol bill, or changed source-compatible demand/circuit; no affordable supplier yet.", + "status": "author-checked", + "source_commit": "0b082d22a0e9a442d264ab0633e35ef26c790630", + "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129" + } + ] + }, + "scope_status": "refined", + "actual_scope": "Resolve native allocator/codec history and successful-payload action dependence for actual external C, then reduce the complete incremental QQ16 threshold against fair B/B*.", + "scope_change_reason": "Explicit assigned continuation after4167. No wider recovery search or repeat parking/caller construction.", + "bottleneck_link": "Independent engines preserve allocator queues and encode slot names; output equality did not justify cancelling retained child execution costs.", + "budget_minutes": 60, + "outcome": "completed", + "author": "Chris R / Clear1nsight with substantial coordinated OpenAI Codex assistance", + "selection_seed": "566fc860a35b9e6a839ca9fb89443452", + "checkpoint": { + "entry_main": "12fa8c5c844be21bfefb38a19503fbd867a11244", + "priority_revision": 7, + "entry_utc": "2026-10-20T07:39:59Z", + "overlap_coverage": "Local assigned-card helper plus bounded connector all-state allocator/native-history/canonical/4167 top30 (capped), named seven heads/reviews,4167reviews,canonical3985handoff;1163/1166/indexwebcachedbounded. No novelty certificate.", + "predecessor_head": "6749e458800f461535d64cc91c017552d9f55e5f", + "pivot_main": "12fa8c5c844be21bfefb38a19503fbd867a11244", + "pivot_coverage": "Same canonical12fa main/priority7; all-state PhysicalArena/slot-equivariance/native-history/4167 top20 capped, no returned4167reviews. Canonical3985claim updated. No novelty certificate." + }, + "open_questions": [ + { + "question": "What is the exact geometry-dependent complete D versus fair B/B* action bill after retained native histories cancel?", + "why_it_matters": "A resolved context theorem alone supplies no sign for new service versus removed rank-eight work.", + "first_step": "Price E1/E8 and complete nonchild/preparation/return-shell difference in the reduced threshold with all geometry and entry marker corrections.", + "blocked_by": "Unpriced source-derived geometric action costs and separate finite-control tariff; stop fixed-mechanism expansion until supplied." + } + ], + "stop_rule": "Publish at most one substantial context result after integrated verification; otherwise preserve checkpoint. Stop fixed-mechanism recovery expansion if the complete necessary inequality fails or remains unpriced.", + "evidence": "Scoped Class-C native-history and successful-payload context theorem, full retained-call reduction and legal fitted/nested source evidence. Full incremental sign remains unknown; fixed recovery expansion stopped. Final registered/export and publication statuses recorded separately.", + "ai_assistance": "Substantial coordinated OpenAI Codex assistance for source analysis, legal fixtures, context proof, cost/resource ledger, verification and read-only adversarial review. Shared source/checker dependencies are disclosed; no independent human or formal-kernel acceptance." +} diff --git a/research/qq16-native-history/VERIFICATION.md b/research/qq16-native-history/VERIFICATION.md new file mode 100644 index 0000000000..bd2db43e77 --- /dev/null +++ b/research/qq16-native-history/VERIFICATION.md @@ -0,0 +1,100 @@ +# Verification and exact scope + +Chris R / Clear1nsight with substantial coordinated OpenAI Codex assistance. +Apache-2.0. CPython 3.12.3, GCC 13.3.0, Linux. This record separates source +integrity, finite execution, written quantified proof, assisted review and +publication/hosted CI. + +## Scientific inputs and result + +Scientific main is `12fa8c5c844be21bfefb38a19503fbd867a11244`, priority 7. +Frozen #4167 is `6749e458800f461535d64cc91c017552d9f55e5f`, retained with all 28 +package files in `inputs/PR4167.tar`. Outer archive SHA256 +68ff3b4b541434cb9df15884d027838cbc80300e9d78015eb82c395c5168d166; +manifest SHA256 abea80414d41fce44a738dae8d1b10c9e1d901765552a56e69b60add286f43fb. +There are 78 canonical input files and 106 authenticated retained/canonical files +at the new loader boundary; nested predecessor loaders retain their own seals. +Authentication precedes inherited execution. Verifier plus committed SEALS are +the explicit bootstrap trust. The shared source-history preflight is separate. + +The written phase-dependent slot/codec proof and successful-payload dataflow +argument remove retained native/body action dependence on legal histories and +coefficient values at fixed complete admitted geometry. They do not prove +unrestricted runtime or equal historical backing. Original numerical/source +entry/stock/native/ordinary/Compact/hosting/long-record hypotheses remain. +The complete QQ16 sign is still unknown after reduction to geometric prices. +Fixed-mechanism recovery expansion stops at that unpriced necessary inequality. + +## Executed finite scope + +Current-byte ordinary and optimised scientific replays compare whole typed +RESULT/BILL/EXECUTION receipts. They run three actual fitted invocations plus +legal fallback warmups/reuse, the real native child-return cut, and the inherited +reduced both-bridge-legs diagnostic. No endpoint doubles replace those source +operations. The declared-small-grammar Ordinary fixture does not execute the +production selector or claim production prime/stock admission. + +Fitted target actions are (79543744,23380814,82873286), identical after five +legally changed free orders including both runtime arenas. The complement of +a nonconstant correlated payload also has equal actions. Six arenas/templates, +slot IDs, numerical and scratch live state, borrowed bytes/heads, fixed output +identity, codec dictionaries/heads and visited bounds are observed. The unused +zero-remainder arena is still counted. The target source plan has no native +child calls; that is why a separate actual recursive cut is included. + +The width-four native root reaches its first width-two child, whose endpoint and saved +parent objects/bytes/heads/mode/root/PC are checked. Parent PC 3 returns to 4. +The parent root program is not completed. Through-cut actions are +(41224159,12308582,42422092); explicit disposal is separately +(83113,41365,83170), leaving all fixture engine roles blank at canonical heads. +This is controlled completed-boundary disposal, not arbitrary interruption recovery. + +All 490 actual codec transitions pass binary-counterpart and shape checks, +yielding 360 classes. Legal allocation/free/park-child-reuse-restore gives +(1273,460,1168) on both slot histories; child-excluded (1179,428,1068) matches +the written source invoice. The marker controls distinguish one write of output +phase and verify the 703-write controller first-use potential once per epoch. + +Rejection controls cover missing/bit-dependent codec transitions, one-arena-only +state, live numerical/scratch/scope state, protected output, stale encoded +records/codec state, wrong heads, false free partition, high-water undercount, +illegal marker domain, omitted suffix/removal/constructor/invocation accounting, +double-Gamma credit and dynamic Tape construction. No-escaped PhysicalWord +handles remains an ownership premise; empty live sets are not a runtime detector. + +## Review and verification status + +The frozen 22-file source/proof/metadata map has SHA256 +6cc318e6c9e2ddf9dd67db1c2cd594c792184f254e228e4f113a8bc62bf1c17f. +Final verifier SHA256 +09faa2fab35591124e19048ed5ce188b025cb3f813e609a7af72e81dcf6441f4. +Read-only assisted adversarial review found no unresolved blocking defect in +the stated Class C scope. It independently replayed bounded codec/marker/transport +controls and inspected the full-source proof, fitted/nested receipts and composed +comparison, without duplicating heavy scientific replays. Shared dependencies +are disclosed; this is not independent human or formal-kernel acceptance. + +During preparation, strict transport comparison detected integer dictionary +keys serialized as strings. Expected receipts now pass a strict JSON roundtrip +before typed equality, preserving bool/int and duplicate-key rejection. +Current scientific source operations were not changed by that transport fix. +The six boundary groups passed after the correction; final registered results +and committed/export checks are recorded below when complete. + +Production O73, complete RootLayer.run, completed nonleaf native root, all-node +substitution, complete supplier/bootstrap and a new exponent were not run/proved. +Selected kappa and all frozen sources remain unchanged. Hosted CI and scientific +human review are separate publication-time statuses. + +## Final registered checkpoint + +The fresh ordinary and optimised scientific commands both passed. All six +source/export/typed-receipt boundary groups passed in 47.948 seconds, and the +registered launcher reported PASS_REGISTERED_RESEARCH_PACKAGE outcome=completed. +No scientific source/proof bytes changed after the frozen review. + +The exact publication commit, source-history preflight, official export digest +and committed ordinary/optimised read-only replay receipts are reported in the +accompanying PR description and canonical #3985 handoff after commit. These +publication-dependent checks are not assumed by the written theorem. Hosted CI +and independent human scientific acceptance remain separate gates. diff --git a/research/qq16-native-history/VERIFY.json b/research/qq16-native-history/VERIFY.json new file mode 100644 index 0000000000..e3f84c396a --- /dev/null +++ b/research/qq16-native-history/VERIFY.json @@ -0,0 +1,122 @@ +{ + "schema_version": 1, + "status": "ready", + "python": "3.12", + "requirements": [], + "inputs": [ + "certificates/selected-result.json", + "notes/batched-complex-rows.tex", + "notes/compact-control-layout.tex", + "notes/compact-control-movement.tex", + "research/bit2234-stock-threshold/README.md", + "research/community-frontier1042-audit/selected-replay.tar.gz", + "research/community-frontier1094-audit/selected-replay.tar.gz", + "research/community-hyperplane599-audit/pr589/bit589/v9/hosted/GLOBAL-TEMPLATE.json.gz", + "research/community-hyperplane599-audit/pr589/bit589/v9/nine/GEOMETRY.json", + "research/complex-grid-prefix-audit/PROOF.md", + "research/e8-bit-p111-tuned/tune/EXPECTED.json", + "research/e8-bit-p111-tuned/tune/bitE8mut-p111-tuned.json.gz", + "research/gaussian-normalization-stream/SOURCES.json", + "research/gaussian-normalization-stream/normalizer.py", + "research/gaussian-parity-synthesis/REVIEW.md", + "research/gaussian-parity/gaussian-parity-certificates.tex", + "research/joint-query/certificate.json.gz", + "research/joint-query/evidence/BRIDGE-REVIEW.md", + "research/joint-query/evidence/JOINT-QUERY-TRANSFER.md", + "research/joint-query/source_data.py", + "research/joint-query/verify_native.py", + "research/joint-query/verify_scalar.py", + "research/p104-whole-word-internal-grid/README.md", + "research/physical-complex-controller/PROOF.md", + "research/physical-complex-controller/SOURCES.json", + "research/physical-complex-controller/bank_packets.py", + "research/physical-complex-controller/cohort.py", + "research/physical-complex-controller/cover.py", + "research/physical-complex-controller/fixture_binding.py", + "research/physical-complex-controller/grid_boundary.py", + "research/physical-complex-controller/machine.py", + "research/physical-complex-controller/monomial_packets.py", + "research/physical-complex-controller/native_program.py", + "research/physical-complex-controller/parking.py", + "research/physical-complex-controller/root_layer.py", + "research/physical-complex-controller/root_plan.py", + "research/physical-complex-controller/root_streams.py", + "research/physical-complex-controller/scalar_packets.py", + "research/physical-complex-controller/scalar_program.py", + "research/physical-complex-controller/selected_binding.py", + "research/physical-complex-controller/selected_source.py", + "research/physical-gaussian-leaf/PROOF.md", + "research/physical-gaussian-leaf/SOURCES.json", + "research/physical-gaussian-leaf/axis_stream.py", + "research/physical-gaussian-leaf/coefficient_engine.py", + "research/physical-gaussian-leaf/inputs/pr3087.tar", + "research/physical-gaussian-leaf/leaf_sources.py", + "research/physical-gaussian-leaf/signed_linear.py", + "research/physical-scalar-stream/scalar_engine.py", + "research/physical-scalar-stream/scalar_words.py", + "research/pr589-five-helper-hosting/PROOF.md", + "research/pr589-five-helper-hosting/verify.py", + "research/qq16-all-depth-producer-grid/PROOF.md", + "research/qq16-line-normalized-decoder/PREDECESSORS.json", + "research/qq16-line-normalized-decoder/PROOF.md", + "research/qq16-line-normalized-decoder/RESULT.json", + "research/qq16-line-normalized-decoder/SOURCES.json", + "research/qq16-line-normalized-decoder/vendor/pr2681/PROOF.md", + "research/qq16-line-normalized-decoder/vendor/pr2681/README.md", + "research/qq16-line-normalized-decoder/vendor/pr2681/RESULT.json", + "research/qq16-line-normalized-decoder/vendor/pr2681/SOURCES.json", + "research/qq16-line-normalized-decoder/vendor/pr2681/WORD.json", + "research/qq16-line-normalized-decoder/vendor/pr2681/references/PR2540-PROOF.md", + "research/qq16-line-normalized-decoder/vendor/pr2681/references/PR2540-README.md", + "research/qq16-line-normalized-decoder/vendor/pr2681/verify.py", + "research/qq16-line-normalized-decoder/verify.py", + "research/qq16-tagged-cover-routing/PROOF.md", + "research/qq16-tagged-cover-routing/oracle.py", + "research/qq16-tagged-cover-routing/router.py", + "research/qq16-tagged-cover-routing/verify.py", + "research/recursive-parking-boundary/README.md", + "research/selected-bit-local-ring-sweeps/PROOF.md", + "research/selected-bit-recursive-closure/PROOF.md", + "research/selected-complex-layer-closure/PROOF.md", + "research/selected-complex-layer-closure/arithmetic.py", + "upstream/build/sections/02-streams.tex", + "research/physical-complex-controller/production_native.py", + "research/physical-complex-controller/check_bounds.py" + ], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-Werror", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 500, + "checks": "native-history" + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-Werror", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 500, + "checks": "native-history-optimized" + }, + { + "argv": [ + "{python}", + "-I", + "-Werror", + "-B", + "{package}/test_verify.py" + ], + "timeout_seconds": 120, + "checks": "source-and-export-boundaries" + } + ] +} diff --git a/research/qq16-native-history/comparison.py b/research/qq16-native-history/comparison.py new file mode 100644 index 0000000000..cbadc4d4c9 --- /dev/null +++ b/research/qq16-native-history/comparison.py @@ -0,0 +1,218 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Exact comparison identities and invocation-site accounting; no runtime oracle. + +Chris R / Clear1nsight, with substantial OpenAI Codex assistance. +The controller, Compact and Ordinary source remains credited to Jose Manuel; +#4166/#4167 supply the frozen caller and occurrence census. Integer calculations +here are checkers, never an encoded allocator, reset or packet compiler. +""" +from fractions import Fraction + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def natural(value, positive=False): + need(type(value) is int and value >= int(positive), 'integer cardinality') + return value + + +def invocation_sites(columns, outer_rows, early_gates, late_gates): + """Actual Ordinary.run calls in one successful source MonomialEngine.run. + + Reference Compact.operations emits four swaps for an early/constant gate + and twelve for a late gate. For columns=1 the monomial bypasses Compact. + For columns>1 every swapped field has (columns-1)*G positive width. + Returned counts exclude all calls in other monomials and descendants. + """ + for x in (columns, outer_rows): natural(x, True) + for x in (early_gates, late_gates): natural(x) + return 0 if columns == 1 else outer_rows*(4*early_gates+12*late_gates) + + +def radix_digits(binary_width, radix): + """Checker for Binary.run's encoded multiply-until-radix>=2**width loop.""" + natural(binary_width, True); natural(radix, True) + need(radix >= 2, 'compiled radix') + power, digits = 1, 0 + while power < (1 << binary_width): + power *= radix + digits += 1 + return digits + + +def census_contract(census): + expected = {'original':510662, 'same_payload':503674, + 'changed_core':6972, 'added':32, 'removed':16, + 'service':336, 'later':493097} + need(type(census) is dict and set(census)==set(expected), 'complete occurrence partition') + need(all(type(census[k]) is int and census[k]==v for k,v in expected.items()), + 'literal frozen root census') + need(census['same_payload']+census['changed_core']+census['removed']==census['original'], + 'original partition') + return {'counts_per_Gamma':dict(expected), + 'matched_header_actions_per_Gamma':28*census['same_payload'], + 'later_header_actions_per_Gamma':28*census['later'], + 'all_retained_header_actions_per_Gamma':28*(census['same_payload']+census['changed_core']), + 'root_installed_per_Gamma':census['original']-census['removed']+census['added'], + 'all_external_D_per_Gamma':census['original']-census['removed']+census['added']+census['service']} + + +CENSUS = {'original':510662, 'same_payload':503674, 'changed_core':6972, + 'added':32, 'removed':16, 'service':336, 'later':493097} + + +def complete_difference(*, gamma, nonchild_difference, service, + native_history_residual, other_same_payload_residual, + changed_core_difference, added, removed, + extra_control_difference=0): + """Exact signed sum ONLY when supplied terms are complete matched totals. + + All supplied costs except header are already whole-root, including Gamma. + service includes its 336 children and every descendant/copy exactly once. + Never call this with an unproved subtraction of upper bounds. + """ + natural(gamma, True) + signed=(nonchild_difference,native_history_residual,other_same_payload_residual, + changed_core_difference,extra_control_difference) + need(all(type(x) is int for x in signed), 'signed exact action differences') + for x in (service,added,removed): natural(x) + header=14102872*gamma + return nonchild_difference+service+header+native_history_residual+other_same_payload_residual+changed_core_difference+added-removed+extra_control_difference + + +def scan_volume(gamma, bank_bits): + """Exact difference in full-bank group volume, a separate diagnostic unit. + + Inherited emitted-group census, not an R/W/M total. Service bank=B/32. + New producer groups replace two groups; later groups cancel only in this + geometric volume metric. Fence/acquisition scans are additional. + """ + natural(gamma,True); natural(bank_bits,True) + need(gamma%51==0 and bank_bits%32==0, 'complete cover and family-bank geometry') + producer=Fraction(14479,51)*gamma*bank_bits + original=2*gamma*bank_bits + service=2022*gamma*(bank_bits//32) + difference=producer+service-original + need(difference==Fraction(281593,816)*gamma*bank_bits and difference.denominator==1, + 'complete source group scan volume') + return {'unit':'sum of complete bank bit lengths over emitted gather/scatter groups', + 'producer':int(producer), 'original_replaced':original, + 'service':service,'difference':int(difference), + 'coefficient_Gamma_times_B_bank':'281593/816', + 'not_a_tape_action_lower_bound_on_total_difference':True} + + +def adoption_adjustment(gamma, owner_packet_bits, *, adopt_D=False): + """Exact action adjustment of the frozen D-B identity for fair B* / D*. + + B* saves 11v+4 on every original child. D* is a separately implemented + variant only; if supplied it must save at all root AND service child sites. + It is not silently substituted for frozen D. + """ + natural(gamma,True); natural(owner_packet_bits,True) + need(type(adopt_D) is bool,'explicit new D variant') + per=11*owner_packet_bits+4 + baseline=510662*gamma*per + candidate=(510678+336)*gamma*per if adopt_D else 0 + return {'B_star_saving':baseline,'new_D_star_saving':candidate, + 'incremental_difference_adjustment':baseline-candidate, + 'finite_binding_control':'additional signed control charges remain separate', + 'scope':'all child packets have the same owner packet extent v under inherited source geometry; descendants unchanged'} + + +def check_sources(source): + """Fail-closed structural controls on already authenticated source text. + + This supplements the written proof; substring checks are not a parser proof. + The caller must authenticate these bytes before this function is used. + """ + expected={'binary','compact','monomial','ordinary','reference'} + need(set(source)==expected and all(type(v) is str for v in source.values()),'source closure') + required={ + 'binary':('if width.zero():','returned = self.native.run(', 'digits.increment()'), + 'compact':('for operation in control.operations:', 'while not rows.finished:', + 'returned = self.binary.run(', 'self.calls["ordinary"] += 1'), + 'monomial':('if n.zero():','self.single_column_rows(', 'self.compact_gate('), + 'ordinary':('if plan["fits"] else','lambda: select(original, self.q, self.profile)'), + 'reference':('def operations(self):','ops.append(("swap",front,"b"))', + 'if self.late:', 'else:flip(self.source)')} + for name, needles in required.items(): + need(all(s in source[name] for s in needles),'actual source invocation site: '+name) + return {'source_site_controls':'passed','scope':'source-structure regression, not branch execution evidence'} + + +def reduced_threshold(*, gamma, nonchild_and_startup_difference, + unmatched_protocol_difference, rank_one_body, + rank_eight_body, finite_control_difference=0): + """Context/payload theorem's reduced COMPLETE action threshold. + + E_r is one complete original C.run including descendants at the common + admitted child geometry and a named marker class. Nonchild/startup contains + acquisition/compiler/service nonchild/scalar/maps/scans/publication/disposal + and any first-use marker-class corrections. Unmatched protocol contains the + 32 producer and 336 service shells minus 16 B shells, excluding E_r and + already multiplied by Gamma. This exact API does not manufacture these prices. + """ + natural(gamma,True);natural(rank_one_body);natural(rank_eight_body) + need(all(type(x) is int for x in (nonchild_and_startup_difference, + unmatched_protocol_difference,finite_control_difference)), 'signed exact difference') + positive=nonchild_and_startup_difference+unmatched_protocol_difference+14298088*gamma+368*gamma*rank_one_body + removed=16*gamma*rank_eight_body + return {'D_minus_B_actions':positive-removed, + 'D_minus_B_with_additional_control':positive-removed+finite_control_difference, + 'necessary_and_sufficient_threshold': '16 Gamma E_8 > Delta_nonchild_startup + Delta_unmatched_protocol + 14298088 Gamma + 368 Gamma E_1', + 'remaining_budget_after_new_rank_one_bodies_and_headers': removed-368*gamma*rank_one_body-14298088*gamma, + 'prices_are_supplied_exact_totals_not_bounds':True} + + +def check(prior_census=None, mechanism_contract=None): + census=census_contract(CENSUS) + if prior_census is not None: + need(prior_census['same_payload_external_calls']['calls']==503674 and + prior_census['changed_core_retained_calls']['calls']==6972 and + prior_census['retained_suffix']['calls']==493097 and + prior_census['retained']['calls']==510646,'authenticated prior literal census') + # The theorem is reported separately; passing a label cannot prove it. + if mechanism_contract is not None: + need(isinstance(mechanism_contract,dict),'explicit mechanism receipt') + need(census['matched_header_actions_per_Gamma']==14102872 and + census['later_header_actions_per_Gamma']==13806716,'header arithmetic') + cases=[] + for columns,rows,early,late in ((1,7,2,3),(2,1,1,0),(2,3,0,1),(4,5,7,2)): + cases.append({'columns':columns,'outer_rows':rows,'early':early,'late':late, + 'actual_ordinary_calls':invocation_sites(columns,rows,early,late)}) + need([x['actual_ordinary_calls'] for x in cases]==[0,4,36,260],'literal swap schedule') + rejected=[] + for label,action in ( + ('omitted later calls',lambda:census_contract(dict(CENSUS,later=0))), + ('bool alias in multiplicity',lambda:census_contract(dict(CENSUS,service=True))), + ('callback count used as ordinary count',lambda:need(invocation_sites(2,3,0,1)==1,'wrong invocation count')), + ('missing removal charge',lambda:need(complete_difference(gamma=1,nonchild_difference=0,service=0,native_history_residual=0,other_same_payload_residual=0,changed_core_difference=0,added=0,removed=14102873)==0,'removed calls retained')), + ('double Gamma publication',lambda:need(11*(14336*51)+4==51*(11*(14336*51)+4),'whole bank contains Gamma'))): + try: action() + except ValueError: rejected.append(label) + else: raise ValueError('cost control accepted: '+label) + # Source-level exact identity can have either sign after native history=0. + common=dict(gamma=1,nonchild_difference=0,service=1,native_history_residual=0, + other_same_payload_residual=0,changed_core_difference=0,added=1) + positive=complete_difference(**common,removed=0) + negative=complete_difference(**common,removed=positive+1) + need(positive>0 and negative==-1,'zero history residual does not determine total sign') + return {'census':census,'monomial_invocation_cases':cases, + 'radix_digit_controls':[radix_digits(1,2),radix_digits(4,3),radix_digits(9,5)], + 'scan_volume_control':scan_volume(51,14336*51), + 'fair_B_star_adjustment_control':adoption_adjustment(51,3), + 'fair_both_adopt_adjustment_control':adoption_adjustment(51,3,adopt_D=True), + 'rejections':rejected, + 'sign_controls':{'positive':positive,'negative':negative,'synthetic_accounting_only':True}, + 'remaining_terms':['nonchild matched difference including all full-bank groups and fence predicates', + 'complete service assembly/compiler/extraction/cleanup and336Gamma children', + 'complete geometric rank-one and rank-eight original C body prices after all retained history/payload differences cancel', + '32Gamma complete added calls minus16Gamma complete B removed calls', + 'separately compiled finite control and historical backing'], + 'all_retained_reduced_threshold': 'Delta_nonchild_startup + Delta_unmatched_protocol + 14298088 Gamma + 368 Gamma E_1 - 16 Gamma E_8', + 'reduced_threshold_accounting_control':reduced_threshold(gamma=1,nonchild_and_startup_difference=10,unmatched_protocol_difference=20,rank_one_body=2,rank_eight_body=1000000), + 'scientific_claim':'The history/payload theorem removes retained body price uncertainty; unpriced nonchild and E_1/E_8 terms prevent a full QQ16 sign.'} diff --git a/research/qq16-native-history/fitted_fixture.py b/research/qq16-native-history/fitted_fixture.py new file mode 100644 index 0000000000..0fb59dee12 --- /dev/null +++ b/research/qq16-native-history/fitted_fixture.py @@ -0,0 +1,149 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Actual fitted Ordinary execution under legal completed histories. + +The reduced declared grammar is inherited unchanged from PR2899's check_engine. +It executes Ordinary.fitted and the encoded physical nested dispatcher, not the +production radix/profile selector and not a substituted arithmetic endpoint. +""" +from pathlib import Path +import sys +from hashlib import sha256 +from state_model import Meter, arenas, body, need, snapshot, codec_backing + + +def source_fixture(): + import ordinary + sys.path.insert(0, str(Path(ordinary.__file__).parent)) + import check_engine + return check_engine + + +def make_engine():return source_fixture().fixture_engine() + + +def invoke(engine, width, *, fitted, shape=(1,1,1), seed=0x53): + from records import Tape + from cardinal_counts import Count + from words import BLANK + from physical_words import PhysicalArena + prefix,gap,suffix=shape; extent=1<>3) ^ (address>>7) ^ seed) & 1) + payload.rewind(); initial=body(payload) + descriptors=tuple(Count.literal(v) for v in (width,prefix,gap,suffix)) + descriptor_states=[(bytes(x.tape.cells),x.tape.head) for x in descriptors] + before=snapshot(engine) + native_counts_before=dict(engine.runtime.counts) + import runtime + lifecycle=sys.modules.get('history_lifecycle') or runtime.module( + 'history_lifecycle',Path(__file__).resolve().parent/'lifecycle.py') + life_before=lifecycle.snapshot(engine) + pending=[]; roots=[] + def observe(stage,padded,returned): + if stage=='before': + need(not pending,'one fitted root');pending.append((body(padded),padded.head));return + saved,head=pending.pop(); expected=bytearray(len(saved)) + for address,bit in enumerate(saved): + row,rest=divmod(address,128);first,rest=divmod(rest,32) + middle,second=divmod(rest,4) + rev1=((first&1)<<1)|(first>>1);rev2=((second&1)<<1)|(second>>1) + target=((row*4+rev2)*8+middle)*4+rev1;expected[target]=bit + need(body(returned)==expected,'actual padded native endpoint') + need(body(padded)==saved and padded.head==head==returned.head==1,'padded borrowed preservation') + roots.append(dict(payload_bits=len(saved),output_sha256=sha256(body(returned)).hexdigest())) + engine.observe=observe + names={id(bank):name for name,bank in arenas(engine)} + allocation={name:dict(count=0,first_slots=[]) for name,_ in arenas(engine)} + original_zero=PhysicalArena.zero + codec_frames=[] + codec=engine.runtime.numerical;codec_class=type(codec);original_park=codec_class.park + original_move=codec_class._move;machine_class=type(codec.machine);original_step=machine_class.step + def observed_move(value,*args,**kwargs): + result=original_move(value,*args,**kwargs) + if value is codec:codec_backing(codec) + return result + def observed_step(value,*args,**kwargs): + result=original_step(value,*args,**kwargs) + if value is codec.machine:codec_backing(codec) + return result + def observed_park(value,*args,**kwargs): + selected=value is codec and len(codec_frames)<2 + slots=[sorted(bank.live) for bank in value.arenas] if selected else None + result=original_park(value,*args,**kwargs) + if selected: + codec_frames.append(dict(live_slots=slots,slot_bits=list(value.slot_bits), + heads=list(value.machine.heads),state=value.machine.state, + tapes=[sorted(t.items()) for t in value.machine.tapes])) + return result + def observed_zero(bank): + value=original_zero(bank) + if id(bank) in names: + row=allocation[names[id(bank)]];row['count']+=1 + if len(row['first_slots'])<32:row['first_slots'].append(value.slot) + return value + meter=Meter(engine,payload,*descriptors) + PhysicalArena.zero=observed_zero;codec_class.park=observed_park + codec_class._move=observed_move;machine_class.step=observed_step + try: + output=(engine.execute_plan(payload,*descriptors,source_fixture().toy_plan) + if fitted else engine.run(payload,*descriptors)) + finally: + PhysicalArena.zero=original_zero;codec_class.park=original_park + codec_class._move=original_move;machine_class.step=original_step + actions=list(meter.delta()) + expected=bytearray(volume) + for address,bit in enumerate(initial): + quotient,last=divmod(address,suffix);quotient,second=divmod(quotient,extent) + quotient,between=divmod(quotient,gap);first_prefix,first=divmod(quotient,extent) + target=((((first_prefix*extent+second)*gap+between)*extent+first)*suffix+last) + expected[target]=bit + need(output is engine.output,'fixed Ordinary public output identity') + need(body(output)==expected,'nonconstant ordinary interchange') + need(body(payload)==initial and payload.head==output.head==1,'borrowed payload/head') + need(descriptor_states==[(bytes(x.tape.cells),x.tape.head) for x in descriptors],'borrowed encoded descriptors') + need(engine.last_fitted is fitted and engine.closed and engine.runtime.closed,'actual branch and successful closure') + need(len(roots)==(2 if fitted else 0) and not pending,'fitted actual root count') + returned=snapshot(engine) + for bank in returned['arenas']: + need(not bank['live'] and not bank['initialized'],'empty erased six arenas') + output_sha=sha256(body(output)).hexdigest();output.clear() + consumed=snapshot(engine) + life_after=lifecycle.snapshot(engine) + lifecycle_receipt=lifecycle.validate_closed(life_after) + backing_receipt=lifecycle.backing_monotone(life_before,life_after) + payload.clear() + for count in descriptors:count.close() + return dict(width=width,shape=list(shape),seed=seed,payload_bits=volume, + branch='fitted' if engine.last_fitted else 'fallback',actions=actions, + roots=roots,allocation=allocation,codec_frames=codec_frames, + native_dispatch_delta={k:v-native_counts_before[k] for k,v in engine.runtime.counts.items()},before=before,returned=returned,consumed=consumed, + output_sha256=output_sha,borrowed_preserved=True, + lifecycle=lifecycle_receipt,backing=backing_receipt, + lifecycle_rejections=lifecycle.rejection_controls(life_after),output_identity_preserved=True, + scope='Actual declared-small-grammar Ordinary.fitted and nested encoded machine; not production select admission.') + + +def run_discriminator(): + left,right=make_engine(),make_engine() + warm_left=invoke(left,1,fitted=False) + warm_right=invoke(right,2,fitted=False,shape=(1,2,1),seed=0x35) + first=invoke(left,5,fitted=True) + # A different nonconstant input warms actual numerical parking/slot histories. + warm_fitted=invoke(right,5,fitted=True,seed=0x6c) + intervening=invoke(right,2,fitted=False,shape=(2,1,2),seed=0x36) + second=invoke(right,5,fitted=True) + different=[a['name'] for a,b in zip(first['before']['arenas'],second['before']['arenas']) + if a['available']!=b['available']] + need(different and any(name.startswith('runtime.') for name in different), + 'completed fitted/fallback history changes native encoded-slot arena order') + need(first['output_sha256']==second['output_sha256'],'same fitted semantic output') + need(first['output_sha256']!=warm_fitted['output_sha256'],'distinct nonconstant fitted payload control') + return dict(status='PASS_LEGAL_FITTED_HISTORY_DISCRIMINATOR', + warm_histories=[warm_left,warm_right,warm_fitted,intervening],different_queues=different, + fitted_pair=[first,second],delta=[b-a for a,b in zip(first['actions'],second['actions'])], + distinct_payload_delta=[b-a for a,b in zip(first['actions'],warm_fitted['actions'])], + classification='observed_equal_actions' if first['actions']==second['actions'] else 'observed_action_difference', + fitted_fallback_fitted=[warm_fitted['branch'],intervening['branch'],second['branch']], + theorem=False) diff --git a/research/qq16-native-history/inputs/PR4167-MANIFEST.json b/research/qq16-native-history/inputs/PR4167-MANIFEST.json new file mode 100644 index 0000000000..3731fc4311 --- /dev/null +++ b/research/qq16-native-history/inputs/PR4167-MANIFEST.json @@ -0,0 +1,118 @@ +{ + "head": "6749e458800f461535d64cc91c017552d9f55e5f", + "archive_sha256": "68ff3b4b541434cb9df15884d027838cbc80300e9d78015eb82c395c5168d166", + "files": [ + { + "path": "research/qq16-protocol-comparison/ADMISSION.json", + 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"7289defd7623495556d180edac9529b999eb680258b4b24baf94d0b3bd121dd4" + }, + { + "path": "research/qq16-protocol-comparison/verify.py", + "sha256": "96e390d9ec392ea730bbb2fb2603b0ca73f8fe9334c698ed5826ad31f550d780" + } + ] +} diff --git a/research/qq16-native-history/inputs/PR4167.tar b/research/qq16-native-history/inputs/PR4167.tar new file mode 100644 index 0000000000..32ccbf658e Binary files /dev/null and b/research/qq16-native-history/inputs/PR4167.tar differ diff --git a/research/qq16-native-history/lifecycle.py b/research/qq16-native-history/lifecycle.py new file mode 100644 index 0000000000..a54d3c2d07 --- /dev/null +++ b/research/qq16-native-history/lifecycle.py @@ -0,0 +1,205 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Read-only successful-return lifecycle oracle; never a runtime state reset. + +Snapshots inspect host objects for finite evidence. No predicate here is charged +as a machine instruction or offered as proof that escaped aliases do not exist. +""" +from copy import deepcopy + +ARENAS = ('outer.body', 'outer.high', 'outer.remainder', 'outer.indices', + 'runtime.residues', 'runtime.indices') + +def need(value, why): + if not value: + raise ValueError(why) + +def arenas(engine): + result = tuple(engine.banks) + (engine.runtime.arena, engine.runtime.indices) + need(len(result) == 6 and len({id(x) for x in result}) == 6, + 'six distinct native numerical arenas') + return tuple(zip(ARENAS, result)) + +def tape_snapshot(tape): + return {'head': tape.head, 'cells': list(tape.cells), + 'backing_cells': len(tape.cells)} + +def snapshot(engine): + """Observer only, valid at any cut; validation is a separate operation.""" + banks = [] + for name, bank in arenas(engine): + banks.append({'name': name, 'capacity': bank.capacity, + 'available': list(bank.available), 'live': sorted(bank.live), + 'initialized': bank.initialized, + 'words': [dict(slot=w.slot, **tape_snapshot(w.tape)) + for w in bank.words], + 'template': tape_snapshot(bank.template.tape)}) + runtime = engine.runtime + return {'arenas': banks, 'closed': engine.closed, + 'runtime_closed': runtime.closed, + 'scope_active': engine.scope.manager is not None, + 'outer_leases': sorted(engine.pool.live), + 'runtime_leases': sorted(runtime.pool.live), + 'output': tape_snapshot(engine.output), + 'runtime_output': tape_snapshot(runtime.output), + 'codec': {'state': runtime.numerical.machine.state, + 'heads': list(runtime.numerical.machine.heads), + 'tapes': [dict(t) for t in runtime.numerical.machine.tapes]}, + 'owned_roles': [tape_snapshot(t) for t in + (*engine.pool.tapes, *runtime.roles.values(), + *runtime.handoff.values(), *runtime.pool.tapes)]} + +def _blank(tape, *, marker=False): + from words import BLANK, LEFT + need(tape['head'] == 1, 'closed physical head at one') + need(tape['backing_cells'] == len(tape['cells']), 'literal retained backing') + need(len(tape['cells']) >= 1, 'origin cell exists; unvisited body is implicit blank') + need(all(x == BLANK for x in tape['cells'][1:]), 'no remaining numerical or payload body') + need(tape['cells'][0] in ((LEFT, BLANK) if marker else (BLANK,)), + 'closed owned origin marker') + +def validate_closed(state): + """Validate a consumed *successful outer* Ordinary return snapshot. + + Ownership of all six arenas and absence of escaped Word handles are caller + premises, not properties inferred from this snapshot. + """ + need(state['closed'] and state['runtime_closed'], 'completed outer and native root session') + need(not state['scope_active'], 'no installed outer allocation scope') + need(not state['outer_leases'] and not state['runtime_leases'], 'no live scratch leases') + need(tuple(a['name'] for a in state['arenas']) == ARENAS, 'all six exact arena names') + for arena in state['arenas']: + n = arena['capacity'] + need(type(n) is int and n > 0, 'fixed positive inventory') + need(not arena['live'] and not arena['initialized'], 'closed numerical residents and template') + need(len(arena['words']) == n and + [w['slot'] for w in arena['words']] == list(range(n)), 'stable physical slot identities') + need(len(arena['available']) == n and set(arena['available']) == set(range(n)), + 'complete duplicate-free free-slot partition') + for word in arena['words']: + _blank(word) + _blank(arena['template']) + _blank(state['output'], marker=True) + _blank(state['runtime_output']) + for tape in state['owned_roles']: + _blank(tape) + codec = state['codec'] + need(codec['state'] == 'done' and codec['heads'] == [0, 1] and codec['tapes'] == [{}, {}], + 'closed dictionary codec state and exact heads') + return {'status': 'PASS_CLOSED_SIX_ARENA_BOUNDARY', 'arenas': 6, + 'available_orders_need_not_be_canonical': True, + 'no_escaped_word_handles_is_owner_premise': True} + +def validate_preserved(before, after): + """Borrowed bytes and heads; backing may only grow by blank tail visits.""" + from words import BLANK + need(before['head'] == after['head'], 'borrowed head restored') + n = len(before['cells']) + need(after['cells'][:n] == before['cells'] and + all(x == BLANK for x in after['cells'][n:]), 'borrowed symbols restored') + need(after['backing_cells'] >= before['backing_cells'], 'borrowed high-water backing retained') + return True + +def backing_monotone(before, after): + """Per physical slot, not a current-live sum or a whole-engine space bound.""" + need(tuple(a['name'] for a in before['arenas']) == ARENAS and + tuple(a['name'] for a in after['arenas']) == ARENAS, 'same six arenas') + total_before = total_after = 0 + for a, b in zip(before['arenas'], after['arenas']): + need(a['capacity'] == b['capacity'], 'no replacement numerical inventory') + for x, y in zip(a['words'] + [a['template']], b['words'] + [b['template']]): + need(y['backing_cells'] >= x['backing_cells'], 'erasure does not reclaim historical backing') + total_before += x['backing_cells']; total_after += y['backing_cells'] + return {'before_numerical_cells': total_before, 'after_numerical_cells': total_after, + 'scope': 'six preallocated numerical arenas and templates only'} + +def rejection_controls(valid): + """Mutated *receipts*, not claimed reachable histories or machine repairs.""" + validate_closed(valid) + rejected = [] + cases = ('one_arena_only', 'live_resident', 'initialized_template', + 'live_scratch_lease', 'active_scope', 'protected_output', + 'stale_slot_encoding', 'stale_codec_state', 'wrong_codec_head', + 'wrong_word_head', 'false_free_partition', 'backing_undercount') + for name in cases: + s = deepcopy(valid) + if name == 'one_arena_only': s['arenas'] = s['arenas'][:1] + elif name == 'live_resident': s['arenas'][5]['live'] = [0] + elif name == 'initialized_template': s['arenas'][4]['initialized'] = True + elif name == 'live_scratch_lease': s['runtime_leases'] = [0] + elif name == 'active_scope': s['scope_active'] = True + elif name == 'protected_output': s['output']['cells'][1] = 1 + elif name == 'stale_slot_encoding': s['codec']['tapes'][1] = {1: '0', 2: '$'} + elif name == 'stale_codec_state': s['codec']['state'] = 'push' + elif name == 'wrong_codec_head': s['codec']['heads'][0] = 1 + elif name == 'wrong_word_head': s['arenas'][3]['words'][0]['head'] = 2 + elif name == 'false_free_partition': s['arenas'][2]['available'][0] = s['arenas'][2]['available'][1] + else: s['arenas'][1]['words'][0]['backing_cells'] -= 1 + try: validate_closed(s) + except ValueError: rejected.append(name) + else: raise ValueError('accepted lifecycle receipt mutation: ' + name) + return {'status': 'PASS_LIFECYCLE_REJECTION_CONTROLS', 'rejected': rejected, + 'scope': 'checker mutation controls; no reachable-history or paid-reset claim'} + + +def first_use_marker_potential(slots, *, completed_calls): + """Exact controller-only potential; native primitive history is separate. + + One fresh original C backend with at least one successful complete call, + no discard/reconstruction between calls, and each output consumed under the + fixed-copy or proved adopted-return adapter. The witness is source origin + handling, not an invoice for the complete backend body. + """ + need(type(slots) is int and slots > 0, 'positive fixed original packet inventory') + need(type(completed_calls) is int and completed_calls > 0, + 'nonempty successful backend invocation epoch') + return {'reads': 0, 'writes': slots - 1, 'moves': 0, + 'bank_first_marker_writes': slots, 'first_output_marker_credit': 1, + 'paid_once_per_backend_epoch': True, + 'scope': 'fresh versus warmed original complex controller marker state only'} + + +def marker_potential_control(): + """Actual authenticated Tape/origin/arm_empty counters, reduced+704 roles. + + Constructors and preparation happen outside the measured local interval. + Their complete construction/retirement bill is retained by the comparison. + """ + from records import Tape + from machine import origin + from bank_packets import arm_empty + from session import erase_marker + from words import LEFT + rows = [] + for slots in (1, 2, 704): + for touch in (origin, arm_empty): + cold = tuple(Tape() for _ in range(slots + 1)) + warm = tuple(Tape() for _ in range(slots + 1)) + for tape in cold[:-1]: erase_marker(tape) + erase_marker(warm[-1]) + def totals(roles): + return tuple(sum(getattr(t.meter, k) for t in roles) + for k in ('reads', 'writes', 'moves')) + def run(roles): + initial = totals(roles) + for tape in roles[:-1]: touch(tape) + origin(roles[-1]) + final = totals(roles) + need(all(t.head == 1 and t.cells[0] == LEFT for t in roles), + 'first touch joins identical physical marker/head state') + return tuple(x - y for x, y in zip(final, initial)) + a, b = run(cold), run(warm) + delta = [x - y for x, y in zip(a, b)] + need(delta == [0, slots - 1, 0], 'literal cold-minus-warm marker potential') + rows.append({'slots': slots, 'packet_first_touch': touch.__name__, + 'cold_actions': list(a), 'warm_actions': list(b), 'delta': delta}) + rejected = [] + for name, kwargs in [('zero_calls', {'slots': 704, 'completed_calls': 0}), + ('empty_inventory', {'slots': 0, 'completed_calls': 1}), + ('boolean_inventory', {'slots': True, 'completed_calls': 1})]: + try: first_use_marker_potential(**kwargs) + except ValueError: rejected.append(name) + else: raise ValueError('accepted marker-potential domain mutation: ' + name) + return {'status': 'PASS_SOURCE_FIRST_USE_MARKER_POTENTIAL', 'cases': rows, + 'production_controller_potential': first_use_marker_potential(704, completed_calls=1), + 'rejected': rejected, + 'scope': 'literal marker subtrace calibration and written whole-epoch induction; not production payload execution'} diff --git a/research/qq16-native-history/mechanism.py b/research/qq16-native-history/mechanism.py new file mode 100644 index 0000000000..a8c05b025e --- /dev/null +++ b/research/qq16-native-history/mechanism.py @@ -0,0 +1,211 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Source-action equivariance checks; no runtime reset or queue permutation. + +All reads of Python state below are checker observations. The actual numerical +and codec operations are the authenticated PR2899/PR2769 implementation. +Chris R with OpenAI Codex assistance; see MECHANISM.md for credited sources. +""" + + +def need(ok, why): + if not ok: + raise ValueError(why) + + +def shape(symbol): + return 'b' if symbol in ('0', '1') else symbol + + +def transition_shape(table): + """Exhaustively certify 0/1-erased control/action shape of actual TABLE.""" + classes = {} + for state,left,right in table: + for a in (('0','1') if left in ('0','1') else (left,)): + for b in (('0','1') if right in ('0','1') else (right,)): + need((state,a,b) in table,'binary counterpart transition missing') + for (state, left, right), (nxt, writes, moves) in table.items(): + key = (state, shape(left), shape(right)) + image = (nxt, tuple(None if w is None else shape(w) for w in writes), moves) + need(key not in classes or classes[key] == image, + 'binary values must not change literal codec control/action shape') + classes[key] = image + return {'transitions':len(table), 'binary_erased_classes':len(classes), + 'equal_next_state_write_presence_and_unit_moves':True} + + +def finite_control_bound(capacity): + """A concrete conservative finite-control realization, NOT tape actions. + + Fixed-q role labels/live bits/available permutations are finite controller + states. Direct transitions implement pop/push/test and indexed stable-word + selection. Restore's remove operation is compiled from that complete finite + state into one transition; slot decoding uses its fixed-width bit loop. + This size allowance is a cardinality bound, not a practical compiler. + """ + from math import factorial + need(type(capacity) is int and capacity > 0, 'fixed positive capacity') + # A permutation and cut position encode each ordered free list plus live + # complement; this overcounts, intentionally. Six arenas are independent. + one = (capacity + 1) * factorial(capacity) + return {'capacity':capacity, 'six_arena_state_bound':one**6, + 'slot_bits':max(1,(capacity-1).bit_length()), + 'state_bits_bound':6*(one.bit_length()), + 'scope':'allocator finite-control component only; no numerical values/widths', + 'runtime_reset_sites':0, 'additional_physical_tapes':0} + + +def park_restore_tariff(capacities, widths, live_counts): + """Complete successful empty-frame park/restore, no child body. + + Derivation follows every loop test/rewind/append in MECHANISM.md. The + numerical words all start/end at origin; no protected child grants. + """ + need(len(capacities)==len(widths)==len(live_counts)==2, "two actual codec banks") + total=[15,2,12] + for cap,w,m in zip(capacities,widths,live_counts): + need(type(cap) is int and cap>0 and type(w) is int and w>0 and + type(m) is int and 0<=m<=cap, "fixed capacity and admitted word extent") + n=1+max(1,(cap-1).bit_length())+w + for i,x in enumerate((14*n+10*w+32,6*n+3*w+8,12*n+10*w+30)): + total[i]+=m*x + return tuple(total) + + +def _totals(arenas, codec): + # PhysicalWord increments both its arena observer and its Tape observer; + # count physical Tape counters ONCE, plus both distinct dictionary counters. + tapes = [w.tape for a in arenas for w in (*a.words,a.template)] + return tuple(sum(getattr(t.meter,k) for t in tapes) + + codec.codec_counts[k] + codec.machine.counts[k] + for k in ('reads','writes','moves')) + + +def _minus(after,before): + return tuple(x-y for x,y in zip(after,before)) + + +def _body(word): + from words import BLANK + return (word.head,bytes(word.cells).rstrip(bytes([BLANK]))) + + +def _codec_case(warm, capacity=4): + from physical_words import PhysicalArena + from cardinal_counts import Count + from bank_codec import BankParking + from words import BLANK + arenas = (PhysicalArena(capacity), PhysicalArena(capacity)) + maximum=Count.literal(15) + for arena in arenas: + arena.prepare(maximum) + if warm: + prior=[arena.literal(i+1) for i in range(3)] + for word in prior: arena.free(word) + maximum.close() + queues=tuple(tuple(a.available) for a in arenas) + values=((3,9,6),(12,5,10)) + live=tuple(tuple(a.literal(v) for v in vv) for a,vv in zip(arenas,values)) + before_words=tuple(tuple(_body(w) for w in ws) for ws in live) + identities=tuple(tuple(w.slot for w in ws) for ws in live) + codec=BankParking(*arenas) + before=_totals(arenas,codec) + codec.park() + child_before=_totals(arenas,codec) + # Actual distinct child allocations may reuse suspended parent slots. + children=tuple(a.literal(11-i) for i,a in enumerate(arenas)) + for a,w in zip(arenas,children):a.free(w) + child_cost=_minus(_totals(arenas,codec),child_before) + codec.restore() + cost=_minus(_totals(arenas,codec),before) + core=_minus(cost,child_cost) + need(core==park_restore_tariff((capacity,capacity),(5,5),(3,3)), + 'exact source-derived complete numerical codec tariff') + need(before_words==tuple(tuple(_body(w) for w in ws) for ws in live), + 'actual original word objects, values and heads restored') + need(identities==tuple(tuple(w.slot for w in ws) for ws in live), + 'actual original encoded slot identities restored') + need(codec.machine.tapes==[{}, {0:'^'}] and codec.machine.heads==[0,1] + and codec.machine.state=='done','exact codec baseline and heads') + for arena,ws in zip(arenas,live): + arena.free_many(*ws) + arena.erase_owned() + need(all(not a.live and not a.initialized and + all(w.head==1 and all(c==BLANK for c in w.cells) + for w in (*a.words,a.template)) for a in arenas), + 'successful actual numerical/template retirement') + codec._move(1,-1);codec._write(1,'_');codec._move(1,1) + need(codec.machine.tapes==[{},{}],'terminal codec marker retirement') + return {'legal_warm_history':warm,'entry_free_order':[list(q) for q in queues], + 'logical_word_slot_labels':[list(q) for q in identities], + 'park_child_restore_actions':list(cost), + 'child_actions':list(child_cost),'park_restore_actions':list(core), + 'word_identity_value_head_restored':True, + 'terminal_numeric_and_codec_cleanup':True} + + +def checks(): + import parking_machine + table=transition_shape(parking_machine.TABLE) + cold,warm=_codec_case(False),_codec_case(True) + need(cold['entry_free_order']!=warm['entry_free_order'], 'legal distinct free histories') + need(cold['logical_word_slot_labels']!=warm['logical_word_slot_labels'], + 'different actual slot encodings') + need(cold['park_child_restore_actions']==warm['park_child_restore_actions'], + 'matched complete codec actions despite reordered encoded slots') + bad=dict(parking_machine.TABLE) + nxt,writes,moves=bad[('push_copy','_','1')] + bad[('push_copy','_','1')]=(nxt,writes,(1,0)) + try:transition_shape(bad) + except ValueError:mutation=True + else:raise ValueError('failed to reject bit-dependent head movement') + missing=dict(parking_machine.TABLE);del missing[('push_copy','_','1')] + try:transition_shape(missing) + except ValueError:domain_mutation=True + else:raise ValueError('failed to reject missing binary counterpart') + control=finite_control_bound(4) + # Huge production cardinality must be expressed symbolically, not computed. + return {'status':'PASS_NATIVE_CODEC_EQUIVARIANCE', 'transition_shape':table, + 'cold':cold,'warm':warm,'bit_dependent_move_rejected':mutation, + 'missing_binary_counterpart_rejected':domain_mutation, + 'finite_control_example':control, + 'actual_marker_phase_control':rearm_check(), + 'runtime_mutation':'none; source allocation/free and park/restore only', + 'scope':'source-bound kernel evidence; quantified Ordinary theorem in MECHANISM.md'} + + +def rearm_tariff(engine, output_marker_blank): + """Source-exact warm-entry marker bill; compile-time inventory observation.""" + need(type(output_marker_blank) is bool,'explicit consumed output marker state') + runtime=engine.runtime + k=(len(engine.pool.tapes)+sum(len(a.words)+1 for a in engine.banks) + +len(runtime.roles)+len(runtime.handoff)+len(runtime.pool.tapes)+1 + +len(runtime.arena.words)+1+len(runtime.indices.words)+1) + return {'initialized_markers':k, + 'actions':[2*k+3,k+int(output_marker_blank)+1,2*k+4], + 'includes':'Ordinary output checks, all six arenas/templates, both pools, runtime roles/handoff/output, dictionary marker', + 'excludes':'constructor and successful previous finish; no reset of available order'} + + +def rearm_check(): + """Actual marker-only control; this is not the fitted arithmetic witness.""" + from types import SimpleNamespace + from ordinary import Ordinary + from macro_code import Code + from session import erase_marker + from state_model import Meter + observations=[] + for blank in (False,True): + engine=Ordinary(2,SimpleNamespace(codes=SimpleNamespace(q=2)), + SimpleNamespace(families=0),(Code((('unreachable',),),0),),capacity=4) + engine.finish(False) + if blank:erase_marker(engine.output) + expected=rearm_tariff(engine,blank) + meter=Meter(engine) + engine.rearm() + need(list(meter.delta())==expected['actions'],'literal six-arena rearm tariff') + engine.finish(False);erase_marker(engine.output) + observations.append({'output_marker_blank':blank,**expected}) + need(observations[1]['actions'][1]-observations[0]['actions'][1]==1, + 'mismatched output marker costs exactly one write') + return {'status':'PASS_LITERAL_REARM_TARIFF','cases':observations, + 'scope':'marker and inventory control; no fitted arithmetic executed here'} diff --git a/research/qq16-native-history/native_nested.py b/research/qq16-native-history/native_nested.py new file mode 100644 index 0000000000..62cbb1801d --- /dev/null +++ b/research/qq16-native-history/native_nested.py @@ -0,0 +1,135 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Bounded actual native parent/child return cut, not a completed root run.""" +from hashlib import sha256 +import json +from state_model import body, need, Meter, fixed_tapes + + +class CompletedChildCut(Exception): + pass + + +def run_cut(): + from fitted_fixture import source_fixture + from macro_binding import ToyBinding + from macro_code import compile_node + from ordinary import Ordinary, unit_program + from cardinal_counts import Count + from records import Tape + from words import Ring + from session import sealed_constructors, erase_marker + fixture=source_fixture();base=fixture.fixture_engine() + binding=ToyBinding(base.binding.catalogue,base.binding.plans) + topology=base.runtime.topology + programs=tuple(compile_node(topology,binding,mode) for mode in (0,1)) + engine=Ordinary(2,binding,topology,programs,capacity=128) + maximum,index_max=Count.literal(2),Count.literal(64) + for bank,value in ((engine.banks[0],maximum),(engine.banks[3],index_max), + (engine.runtime.arena,maximum),(engine.runtime.indices,index_max)): + bank.prepare(value) + modulus=engine.banks[0].load(maximum);ring=Ring(modulus) + size_value,depth_value=Count.literal(4),Count.literal(0) + size=engine.banks[3].load(size_value);depth=engine.banks[3].load(depth_value) + program=unit_program(engine.banks[3],ring,size,depth,binding.codes.bits) + payload,directory=Tape(),Tape() + for address in range(36*256): + payload.append(((address*13)^(address>>3)^(address>>7)^0x53)&1) + payload.rewind();initial=body(payload) + counts=tuple(Count.literal(x) for x in (1,36,1,1,1)) + target=engine.runtime;cls=type(target) + original_call=cls.call;original_return=cls.complete_return + saved={};receipt={} + def decoded(tape): + from words import RIGHT + digits=[] + for bit in tape.cells[1:]: + if bit==RIGHT:break + need(bit in (0,1),'checker binary descriptor');digits.append(bit) + return sum(bit<>i)&1)<<(child_width-1-i) for i in range(child_width)) + for address,bit in enumerate(saved['child_source']): + quotient,last=divmod(address,suffix);quotient,second=divmod(quotient,extent) + quotient,middle=divmod(quotient,gap);prefix,first=divmod(quotient,extent) + destination=((((prefix*extent+reverse(second))*gap+middle)*extent+reverse(first))*suffix+last) + expected[destination]=bit + need(body(machine.tape('current'))==expected,'actual child reversed-interchange endpoint') + need(machine.numerical.machine.tapes==[{}, {0:'^'}], 'numerical frame popped to parent baseline') + receipt.update(status='PASS_REACHABLE_NATIVE_CHILD_RETURN_CUT', + root_width=4,root_rows=36,payload_bits=len(initial), + native_counts=dict(machine.counts),parent_pc_before=saved['pc'],parent_pc_after=machine.pc, + child_grants=saved['child_grants'],parent_slot_labels=saved['parent_slot_labels'], + encoded_parent_frame=saved['encoded_frame'],codec_commands=machine.numerical.codec_counts['commands'],parent_live_slots=[sorted(x) for x in saved['words']], + returned_bits=len(body(machine.tape('current'))), + current_sha256=sha256(body(machine.tape('current'))).hexdigest(), + borrowed_preserved=True,parent_words_preserved=True,parent_roles_preserved=True, + child_endpoint_checked=True,child_width=saved['child_width'],child_shape=saved['child_shape'], + codec_heads=list(machine.numerical.machine.heads), + root_program_completed=False, + scope='Observer stops immediately after first successful native child return; parent root remains active.') + raise CompletedChildCut() + return result + cls.call=call;cls.complete_return=returned + meter=Meter(engine,payload,directory,program.tape,*counts,maximum,index_max,size_value,depth_value) + try: + with sealed_constructors(): + target.run(payload,directory,program.tape,modulus,size,depth,*counts,mode=1) + except CompletedChildCut: + receipt['actions_to_completed_cut']=list(meter.delta()) + # This retires the stopped parent at an actual completed primitive + # boundary. It is explicit disposal, not completion of its root program. + before_cleanup=meter.delta() + target.close_frame();target.finish(0) + ring.close();engine.banks[0].free(modulus) + engine.banks[3].free_many(size,depth) + for bank in engine.banks:bank.erase_owned() + for tape in (*engine.pool.tapes,engine.output):erase_marker(tape) + program.tape.clear();payload.clear();directory.clear() + for value in (*counts,maximum,index_max,size_value,depth_value):value.close() + receipt['explicit_retirement_actions']=[a-b for a,b in zip(meter.delta(),before_cleanup)] + receipt['retired_after_completed_cut']=bool(target.closed and all(not bank.live and not bank.initialized + for bank in (*engine.banks,target.arena,target.indices))) + need(receipt['retired_after_completed_cut'],'explicit stopped-parent retirement') + from words import BLANK + need(all(all(symbol==BLANK for symbol in tape.cells) and tape.head==1 for tape in fixed_tapes(engine)), + 'all native fixture engine roles blank at canonical heads after explicit retirement') + receipt['all_engine_roles_retired']=True + return receipt + finally: + cls.call=original_call;cls.complete_return=original_return + raise ValueError('expected actual nonleaf native child return') diff --git a/research/qq16-native-history/runtime.py b/research/qq16-native-history/runtime.py new file mode 100644 index 0000000000..46d8f38a67 --- /dev/null +++ b/research/qq16-native-history/runtime.py @@ -0,0 +1,70 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Authenticate frozen #4167 and its entire source closure before execution.""" +from pathlib import Path +import hashlib, io, json, sys, tarfile, tempfile, types +HERE=Path(__file__).resolve().parent +ROOT=HERE.parents[1] +MANIFEST_SHA='abea80414d41fce44a738dae8d1b10c9e1d901765552a56e69b60add286f43fb' +_temporary=None +_prior=None +def need(ok,why): + if not ok:raise ValueError(why) +def sha(raw):return hashlib.sha256(raw).hexdigest() +def unique(pairs): + result={} + for key,value in pairs: + need(key not in result,'duplicate key');result[key]=value + return result +def parse(raw):return json.loads(raw,object_pairs_hook=unique) +def typed(value): + if isinstance(value,dict):return ('dict',tuple((k,typed(v)) for k,v in sorted(value.items()))) + if isinstance(value,list):return ('list',tuple(map(typed,value))) + return (type(value).__name__,value) +def module(name,path): + result=types.ModuleType(name);result.__file__=str(path) + sys.modules[name]=result + exec(compile(path.read_bytes(),str(path),'exec'),result.__dict__) + return result +def authenticated_inputs(): + raw=(HERE/'inputs/PR4167-MANIFEST.json').read_bytes() + need(sha(raw)==MANIFEST_SHA,'retained manifest integrity') + manifest=parse(raw);archive=(HERE/'inputs/PR4167.tar').read_bytes() + need(sha(archive)==manifest['archive_sha256'],'retained archive integrity') + expected={r['path']:r['sha256'] for r in manifest['files']} + need(len(expected)==len(manifest['files']),'duplicate retained path') + files={} + with tarfile.open(fileobj=io.BytesIO(archive),mode='r:') as t: + for member in t: + if member.isdir():continue + need(member.isfile() and member.name in expected and member.name not in files,'retained member kind/path') + need(not Path(member.name).is_absolute() and '..' not in Path(member.name).parts,'retained path') + raw=t.extractfile(member).read() + need(sha(raw)==expected[member.name],'retained content integrity') + files[member.name]=raw + need(set(files)==set(expected),'missing retained member') + sources=parse(files['research/qq16-protocol-comparison/SOURCES.json']) + for row in sources['files']: + if row['usage']!='input':continue + rel=row['path'];need(not Path(rel).is_absolute() and '..' not in Path(rel).parts,'canonical path') + raw=(ROOT/rel).read_bytes() + blob=hashlib.sha1(b'blob '+str(len(raw)).encode()+b'\0'+raw).hexdigest() + need(sha(raw)==row['sha256'] and blob==row['git_blob'],'canonical input integrity:'+rel) + need(rel not in files,'canonical collision');files[rel]=raw + return files +def cold(): + global _temporary,_prior + need(_temporary is None,'one cold cohort per process') + files=authenticated_inputs() + _temporary=tempfile.TemporaryDirectory(prefix='qq16-history-') + root=Path(_temporary.name) + for rel,raw in files.items(): + path=root/rel;path.parent.mkdir(parents=True,exist_ok=True);path.write_bytes(raw) + _prior=module('qq16_protocol_runtime',root/'research/qq16-protocol-comparison/runtime.py') + return _prior.cold() +def predecessor(): + need(_temporary is not None,'cold cohort required') + return Path(_temporary.name)/'research/qq16-protocol-comparison' +def cleanup(): + global _temporary + if _prior is not None:_prior.cleanup() + if _temporary is not None:_temporary.cleanup();_temporary=None diff --git a/research/qq16-native-history/state_model.py b/research/qq16-native-history/state_model.py new file mode 100644 index 0000000000..250583b2b5 --- /dev/null +++ b/research/qq16-native-history/state_model.py @@ -0,0 +1,114 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Read-only state/measurement oracles; never a reset or machine operation.""" +from hashlib import sha256 + +_CODEC_BACKING = {} + + +def need(ok, message): + if not ok: + raise ValueError(message) + + +def arenas(engine): + return tuple((f'banks[{i}]', bank) for i, bank in enumerate(engine.banks)) + ( + ('runtime.arena', engine.runtime.arena), ('runtime.indices', engine.runtime.indices)) + + +def tapes(*objects): + from records import Tape + seen, result = set(), [] + ignored = {'binding', 'catalogue', 'topology', 'programs', 'program', 'recipes', + 'recipe', 'actions', 'observe', 'codes', 'specifications', 'meter', + 'counts', 'codec_counts', 'context', 'geometry_state', 'transform', 'manager'} + def visit(value, path): + if id(value) in seen: return + seen.add(id(value)) + if isinstance(value, Tape): + result.append((path, value)); return + if isinstance(value, dict): + for key in sorted(value, key=repr): visit(value[key], path + '[' + repr(key) + ']') + elif isinstance(value, (tuple, list)): + for i, child in enumerate(value): visit(child, path + '[' + str(i) + ']') + elif hasattr(value, '__dict__') and not isinstance(value, type): + for name, child in vars(value).items(): + if name not in ignored: visit(child, path + '.' + name) + for i, value in enumerate(objects): visit(value, 'object' + str(i)) + return tuple(result) + + +def codec_backing(codec): + key=codec + if key not in _CODEC_BACKING: + _CODEC_BACKING[key]=[[min([head,*tape.keys()]),max([head,*tape.keys()])] + for head,tape in zip(codec.machine.heads,codec.machine.tapes)] + bounds=_CODEC_BACKING[key] + for bound,head in zip(bounds,codec.machine.heads): + bound[0]=min(bound[0],head);bound[1]=max(bound[1],head) + return [list(bound) for bound in bounds] + + +def snapshot(engine): + from words import BLANK + banks = [] + for name, bank in arenas(engine): + banks.append(dict(name=name, capacity=bank.capacity, available=list(bank.available), + live=sorted(bank.live), initialized=bank.initialized, + template=dict(head=bank.template.head, body=list(bank.template.cells), backing=len(bank.template.cells)), + slots=[dict(slot=w.slot, head=w.head, nonblank=sum(x != BLANK for x in w.cells), + backing=len(w.cells)) for w in bank.words])) + codec = engine.runtime.numerical + return dict(arenas=banks, closed=engine.closed, runtime_closed=engine.runtime.closed, + outer_scope_active=engine.scope.manager is not None, + outer_live=sorted(engine.pool.live), inner_live=sorted(engine.runtime.pool.live), + output=dict(head=engine.output.head, body=list(engine.output.cells), backing=len(engine.output.cells)), + codec=dict(backing_bounds=codec_backing(codec), state=codec.machine.state, heads=list(codec.machine.heads), tapes=[sorted(t.items()) for t in codec.machine.tapes]), + roles=[dict(path=path, head=tape.head, nonblank=sum(x != BLANK for x in tape.cells), + backing=len(tape.cells)) for path,tape in tapes(engine)], + contract='Read-only fixture observation; escaped Python references are excluded by caller ownership, not discovered.') + + +def fixed_tapes(engine, *borrowed): + """Literal constructor inventory, independently cross-checked with graph walk.""" + from records import Tape + result=[word.tape for _,bank in arenas(engine) for word in (*bank.words,bank.template)] + result.extend((*engine.pool.tapes,*engine.runtime.pool.tapes, + *engine.runtime.roles.values(),*engine.runtime.handoff.values(), + engine.output,engine.runtime.output)) + result.extend(value if isinstance(value,Tape) else value.tape for value in borrowed) + unique={id(t):t for t in result} + discovered={id(t):t for _,t in tapes(engine,*borrowed)} + need(set(unique)==set(discovered),'literal six-arena/controller/borrowed inventory equals graph oracle') + return tuple(unique.values()) + + +def allocation_control(): + from records import Tape + from session import sealed_constructors + try: + with sealed_constructors():Tape() + except ValueError: + return {'status':'PASS_DYNAMIC_TAPE_REJECTION','source_sealed_constructor':True} + raise ValueError('dynamic Tape accepted inside inherited sealed execution') + + +class Meter: + """Count source Tape meters and both dictionary-codec counter banks exactly once.""" + def __init__(self, engine, *borrowed): + self.roles = fixed_tapes(engine, *borrowed) + codec=engine.runtime.numerical + self.banks=(codec.codec_counts, codec.machine.counts) + self.start=self.total() + def total(self): + return tuple(sum(getattr(t.meter,name) for t in self.roles) + + sum(bank[name] for bank in self.banks) + for name in ('reads','writes','moves')) + def delta(self):return tuple(x-y for x,y in zip(self.total(),self.start)) + + +def body(tape): + from words import BLANK + return bytes(tape.cells[1:]).rstrip(bytes([BLANK])) + + +def digest(tape):return sha256(body(tape)).hexdigest() diff --git a/research/qq16-native-history/test_verify.py b/research/qq16-native-history/test_verify.py new file mode 100644 index 0000000000..e83e83284f --- /dev/null +++ b/research/qq16-native-history/test_verify.py @@ -0,0 +1,251 @@ +# SPDX-License-Identifier: Apache-2.0 +"""Source and receipt boundary controls for the native-history package. + +Chris R with substantial OpenAI Codex assistance. Adapted from #4167's export +controls. These checks exercise transport and authentication failure modes; +the ordinary/optimised scientific replays are separate registered evidence. +""" +import copy +import hashlib +import importlib.util +import io +import json +import os +from pathlib import Path +import shutil +import subprocess +import sys +import tarfile +import tempfile +import unittest + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] + + +def digest(raw): + return hashlib.sha256(raw).hexdigest() + + +def snapshot(root): + """Reading may alter atime; all other recorded filesystem state is fixed.""" + result = {} + for path in sorted(root.rglob('*')): + stat = path.stat() + result[str(path.relative_to(root))] = ( + stat.st_mode, stat.st_mtime_ns, stat.st_ino, + digest(path.read_bytes()) if path.is_file() else None, + ) + return result + + +def raw_module(name, path): + spec = importlib.util.spec_from_file_location(name, path) + module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def alias_mutation(value): + """Produce a Python-equal, JSON-type-distinct bool/integer replacement.""" + if isinstance(value, bool): + return int(value), True + if isinstance(value, int) and value in (0, 1): + return bool(value), True + if isinstance(value, dict): + for key, child in value.items(): + changed, found = alias_mutation(child) + if found: + result = copy.deepcopy(value) + result[key] = changed + return result, True + if isinstance(value, list): + for index, child in enumerate(value): + changed, found = alias_mutation(child) + if found: + result = copy.deepcopy(value) + result[index] = changed + return result, True + return value, False + + +class Boundary(unittest.TestCase): + def setUp(self): + self.tmp = tempfile.TemporaryDirectory(prefix='qq16-history-export-') + self.root = Path(self.tmp.name) / 'checkout' + self.package = self.root / 'research' / HERE.name + self.addCleanup(self.remove_export) + shutil.copytree(HERE, self.package, + ignore=shutil.ignore_patterns('__pycache__')) + registration = json.loads((HERE / 'VERIFY.json').read_bytes()) + for rel in registration['inputs']: + path = Path(rel) + self.assertFalse(path.is_absolute()) + self.assertNotIn('..', path.parts) + source, target = ROOT / path, self.root / path + self.assertTrue(source.is_file(), rel) + target.parent.mkdir(parents=True, exist_ok=True) + shutil.copyfile(source, target) + + def remove_export(self): + if self.root.exists(): + self.root.chmod(0o755) + for path in self.root.rglob('*'): + if path.is_dir(): + path.chmod(0o755) + self.tmp.cleanup() + + def replay(self, *args, optimized=True, ok=True, needle=None): + result = subprocess.run( + [sys.executable, '-I', '-Werror', '-B', + *(['-O'] if optimized else []), + str(self.package / 'verify.py'), *args], + cwd=self.root, + env=dict(os.environ, PATH='/nonexistent-qq16-git-free'), + capture_output=True, text=True, timeout=60, + ) + output = result.stdout + result.stderr + self.assertEqual(result.returncode == 0, ok, output) + if needle is not None: + self.assertIn(needle, output) + if ok: + self.assertFalse(result.stderr, output) + return output + + def test_normal_and_optimized_readonly_check_only_export(self): + """Fast transport check, explicitly not the fitted scientific replay.""" + for path in self.root.rglob('*'): + path.chmod(0o555 if path.is_dir() else 0o444) + self.root.chmod(0o555) + before = snapshot(self.root) + for optimized in (False, True): + self.replay('--check-only', optimized=optimized, + needle='PASS_QQ16_NATIVE_HISTORY_CHECK_ONLY') + self.assertEqual(before, snapshot(self.root)) + self.assertFalse((self.root / '.git').exists()) + + def test_authentication_precedes_inherited_and_local_execution(self): + source = self.root / 'research/physical-complex-controller/machine.py' + raw = source.read_bytes() + source.write_bytes(b"raise RuntimeError('INHERITED_POISON_EXECUTED')\n" + raw) + fixture = self.package / 'fitted_fixture.py' + fixture_raw = fixture.read_bytes() + fixture.write_bytes(b"raise RuntimeError('LOCAL_POISON_EXECUTED')\n" + fixture_raw) + # Default entry point, not check-only: rejected before fitted execution. + output = self.replay(ok=False, needle='canonical input integrity') + self.assertNotIn('INHERITED_POISON_EXECUTED', output) + self.assertNotIn('LOCAL_POISON_EXECUTED', output) + source.write_bytes(raw) + output = self.replay(ok=False, needle='local module integrity') + self.assertNotIn('LOCAL_POISON_EXECUTED', output) + + def test_outer_archive_and_manifest_seals(self): + for name, message in ( + ('inputs/PR4167-MANIFEST.json', 'retained manifest integrity'), + ('inputs/PR4167.tar', 'retained archive integrity'), + ): + with self.subTest(name=name): + path = self.package / name + raw = path.read_bytes() + path.write_bytes(raw + b' ') + self.replay('--check-only', ok=False, needle=message) + path.write_bytes(raw) + + def test_retained_members_below_outer_seal(self): + """Test-only resealing reaches inner validation; no inherited execution.""" + archive_path = self.package / 'inputs/PR4167.tar' + manifest_path = self.package / 'inputs/PR4167-MANIFEST.json' + original_archive = archive_path.read_bytes() + original_manifest = manifest_path.read_bytes() + members = [] + with tarfile.open(fileobj=io.BytesIO(original_archive), mode='r:') as src: + for member in src: + if member.isfile(): + with src.extractfile(member) as stream: + members.append((copy.copy(member), stream.read())) + self.assertTrue(members) + for mutation, message in ( + ('content', 'retained content integrity'), + ('duplicate', 'retained member kind/path'), + ('link', 'retained member kind/path'), + ('missing', 'missing retained member'), + ): + with self.subTest(mutation=mutation): + out = io.BytesIO() + with tarfile.open(fileobj=out, mode='w:') as dst: + selected = members[:-1] if mutation == 'missing' else members + for index, (member, raw) in enumerate(selected): + member = copy.copy(member) + if index == 0 and mutation == 'content': + raw = b'X' + raw + member.size = len(raw) + if index == 0 and mutation == 'link': + member.type = tarfile.SYMTYPE + member.linkname = '/outside-export' + member.size = 0 + dst.addfile(member) + else: + dst.addfile(member, io.BytesIO(raw)) + if mutation == 'duplicate': + member, raw = members[0] + dst.addfile(copy.copy(member), io.BytesIO(raw)) + archive = out.getvalue() + manifest = json.loads(original_manifest) + manifest['archive_sha256'] = digest(archive) + manifest_bytes = json.dumps(manifest).encode() + archive_path.write_bytes(archive) + manifest_path.write_bytes(manifest_bytes) + loader = raw_module('qq16_history_member_loader', self.package / 'runtime.py') + loader.MANIFEST_SHA = digest(manifest_bytes) + with self.assertRaisesRegex(ValueError, message): + loader.authenticated_inputs() + archive_path.write_bytes(original_archive) + manifest_path.write_bytes(original_manifest) + + def test_generation_refuses_to_overwrite_receipts(self): + before = snapshot(self.root) + self.replay('--write', ok=False, needle='refuse receipt overwrite') + self.assertEqual(before, snapshot(self.root)) + + def test_whole_typed_receipts_and_duplicate_keys(self): + # Test the production transport comparator against a saved expected + # result. Separate full replays independently regenerate that result. + saved_path = list(sys.path) + saved_runtime = sys.modules.pop('runtime', None) + self.addCleanup(lambda: setattr(sys, 'path', saved_path)) + def restore_runtime(): + sys.modules.pop('runtime', None) + if saved_runtime is not None: + sys.modules['runtime'] = saved_runtime + self.addCleanup(restore_runtime) + sys.path.insert(0, str(self.package)) + verifier = raw_module('qq16_history_export_verifier', self.package / 'verify.py') + typed_mutations = 0 + for name in verifier.NAMES: + path = self.package / name + raw = path.read_bytes() + expected = json.loads(raw) + verifier.check_receipt(name, expected, self.package) + mutations = [dict(expected, unexpected_receipt_field=True), + {k: v for index, (k, v) in enumerate(expected.items()) if index != 0}] + changed, found = alias_mutation(expected) + if found: + self.assertEqual(changed, expected) + typed_mutations += 1 + mutations.append(changed) + for changed in mutations: + path.write_text(json.dumps(changed)) + with self.assertRaisesRegex(ValueError, 'whole typed receipt mismatch:'): + verifier.check_receipt(name, expected, self.package) + path.write_bytes(raw) + key = next(iter(expected)) + duplicate = b'{' + json.dumps(key).encode() + b':false,' + raw.lstrip()[1:] + path.write_bytes(duplicate) + with self.assertRaisesRegex(ValueError, 'duplicate'): + verifier.check_receipt(name, expected, self.package) + path.write_bytes(raw) + self.assertGreater(typed_mutations, 0, 'no concrete bool/integer alias exercised') + + +if __name__ == '__main__': + unittest.main() diff --git a/research/qq16-native-history/verify.py b/research/qq16-native-history/verify.py new file mode 100644 index 0000000000..764b75ad38 --- /dev/null +++ b/research/qq16-native-history/verify.py @@ -0,0 +1,126 @@ +#!/usr/bin/env python3 +# SPDX-License-Identifier: Apache-2.0 +"""Authenticated context theorem controls and actual fitted scientific replay.""" +import argparse, hashlib, json, subprocess, sys, types +from pathlib import Path +HERE=Path(__file__).resolve().parent +ROOT=HERE.parents[1] +sys.path.insert(0,str(HERE)) +STATUS='PASS_QQ16_NATIVE_HISTORY' +NAMES=('RESULT.json','BILL.json','EXECUTION.json') +def need(ok,why): + if not ok:raise ValueError(why) +def sha(raw):return hashlib.sha256(raw).hexdigest() +def unique(pairs): + result={} + for k,v in pairs: + need(k not in result,'duplicate key');result[k]=v + return result +def parse(raw):return json.loads(raw,object_pairs_hook=unique) +def typed(value): + if isinstance(value,dict):return ('dict',tuple((k,typed(v)) for k,v in sorted(value.items()))) + if isinstance(value,list):return ('list',tuple(map(typed,value))) + return (type(value).__name__,value) +def canonical(value):return json.dumps(value,sort_keys=True,separators=(',',':'),allow_nan=False).encode() +def bootstrap(): + # This verifier and its committed seals are the explicit bootstrap trust. + seals=parse((HERE/'SEALS.json').read_bytes()) + need(sha((HERE/'runtime.py').read_bytes())==seals['runtime.py'],'local module integrity:runtime.py') + loader=types.ModuleType('runtime');loader.__file__=str(HERE/'runtime.py');sys.modules['runtime']=loader + exec(compile((HERE/'runtime.py').read_bytes(),str(HERE/'runtime.py'),'exec'),loader.__dict__) + pins=loader.authenticated_inputs() + for name,digest in seals.items(): + need(sha((HERE/name).read_bytes())==digest,'local module integrity:'+name) + return loader,pins,seals +def check_receipt(name,expected,folder=HERE): + normalized=parse(json.dumps(expected,sort_keys=True,allow_nan=False)) + need(typed(parse((folder/name).read_bytes()))==typed(normalized),'whole typed receipt mismatch:'+name) +def validate_execution(execution): + need(set(execution)=={'fitted','native_nested','inherited_bridge'},'complete physical execution receipt') + fitted=execution['fitted'];pair=fitted['fitted_pair'] + need(len(pair)==2 and all(x['branch']=='fitted' and len(x['roots'])==2 for x in pair),'actual fitted branch receipts') + need(fitted['delta']==[0,0,0] and fitted['distinct_payload_delta']==[0,0,0],'observed paired actions') + need({'runtime.arena','runtime.indices'}<=set(fitted['different_queues']),'actual native queue difference') + need(fitted['fitted_fallback_fitted']==['fitted','fallback','fitted'] and fitted['theorem'] is False,'scope of finite execution') + for row in fitted['warm_histories']+pair: + need(row['borrowed_preserved'] is True and row['lifecycle']['status']=='PASS_CLOSED_SIX_ARENA_BOUNDARY','actual complete outer return') + bridge=execution['inherited_bridge'] + need(bridge['actual_source_endpoint'] is True and len(bridge['matched'])==1 and len(bridge['matched'][0]['calls'])==8,'inherited actual reduced prefix/bridge/suffix replay') + nested=execution['native_nested'] + need(nested['native_counts']['calls']>=1 and nested['native_counts']['returns']>=1 and nested['parent_pc_after']==nested['parent_pc_before']+1,'actual nested child return') + need(nested['root_program_completed'] is False and nested['retired_after_completed_cut'] is True and nested['all_engine_roles_retired'] is True,'stopped parent is disposed, not completed') +def inherited_bridge(prior): + code="""import sys,json +sys.path.insert(0,sys.argv[1]) +import comparative_fixture as f +try: + result=f.experiment(width=2,generations=1,binding_factory=f.BridgeBinding) + print(json.dumps(result,sort_keys=True)) +finally:f.runtime.cleanup() +""" + command=[sys.executable,'-I','-Werror','-B'] + if sys.flags.optimize:command.append('-O') + completed=subprocess.run(command+['-c',code,str(prior)],cwd=ROOT,capture_output=True,text=True,timeout=120) + need(completed.returncode==0 and not completed.stderr,'inherited bridge replay:'+completed.stdout+completed.stderr) + return parse(completed.stdout) + +def compute(runtime,pins,seals,saved_execution=None): + runtime.cold() + try: + prior=runtime.predecessor() + connection=runtime.module('history_prior_connection',runtime._prior.predecessor()/'connection.py') + data,packet,word,parent,service=connection.bindings() + ledger=runtime.module('history_prior_ledger',prior/'ledger.py') + census=ledger.literal_census(data,parent) + state=runtime.module('state_model',HERE/'state_model.py') + mechanism=runtime.module('history_mechanism',HERE/'mechanism.py') + lifecycle=runtime.module('history_lifecycle',HERE/'lifecycle.py') + comparison=runtime.module('history_comparison',HERE/'comparison.py') + proof_controls=mechanism.checks() + marker=lifecycle.marker_potential_control() + bill=comparison.check(prior_census=census,mechanism_contract=proof_controls) + import monomial_packets, binary, compact_engine, monomial_engine, ordinary, compact_reference + source_modules={'binary':binary,'compact':compact_engine,'monomial':monomial_engine,'ordinary':ordinary,'reference':compact_reference} + bill['source_site_controls']=comparison.check_sources({k:Path(v.__file__).read_text() for k,v in source_modules.items()}) + bill['literal_census']=census + bill['native_codec']=proof_controls + bill['controller_marker_potential']=marker + bill['dynamic_allocation_control']=state.allocation_control() + if saved_execution is None: + fitted=runtime.module('fitted_fixture',HERE/'fitted_fixture.py') + nested=runtime.module('history_native_nested',HERE/'native_nested.py') + execution={'fitted':fitted.run_discriminator(),'native_nested':nested.run_cut(),'inherited_bridge':inherited_bridge(prior)} + else:execution=saved_execution + validate_execution(execution) + finally:runtime.cleanup() + result={'status':STATUS,'scientific_main':'12fa8c5c844be21bfefb38a19503fbd867a11244','priority_revision':7, + 'frozen_predecessor':'6749e458800f461535d64cc91c017552d9f55e5f', + 'new_result':'Source-relative six-arena phased history action relation plus successful coefficient-payload opacity removes all retained C body cost residuals; no runtime reset or new engine.', + 'cost_currency':'source reads/writes/unit moves; finite-control and historical backing remain separate', + 'complete_reduced_difference':'Delta_N + Delta_shell + 14298088 Gamma + 368 Gamma E1(g) - 16 Gamma E8(g)', + 'qq16_sign':'unresolved: geometric E1/E8 and complete nonchild/shell prices required; stop fixed-mechanism recovery expansion', + 'new_physical_tapes':0,'runtime_resets':0, + 'unchanged_kappa':'836330098538459/500000000000000000', + 'physical_receipt_sha256':sha(canonical(execution)), + 'bill_sha256':sha(canonical(bill)), + 'authenticated_inputs':{k:sha(v) for k,v in sorted(pins.items())}, + 'local_seals':seals, + 'remaining':['Inherited successful source/native/Ordinary/Compact/hosting, exact grid/range, row-stock/depth and long-record hypotheses.', + 'No production O73, full RootLayer.run, full nonleaf native root, all-node substitution, supplier/bootstrap or new exponent execution/proof.', + 'No-escaped numerical handles is an ownership premise, not inferred from empty live sets.', + 'A source-action theorem does not prove equal wall time or equal per-role historical backing.', + 'Read-only assisted review shares sources/checkers; no independent human or formal-kernel acceptance.']} + return dict(zip(NAMES,(result,bill,execution))) +def main(): + parser=argparse.ArgumentParser();parser.add_argument('--write',action='store_true');parser.add_argument('--check-only',action='store_true');args=parser.parse_args() + need(not(args.write and args.check_only),'exclusive replay mode') + if args.write:need(not any((HERE/n).exists() for n in NAMES),'refuse receipt overwrite') + runtime,pins,seals=bootstrap() + saved=parse((HERE/'EXECUTION.json').read_bytes()) if args.check_only else None + objects=compute(runtime,pins,seals,saved_execution=saved) + for name,obj in objects.items(): + if args.write: + with (HERE/name).open('x') as stream:stream.write(json.dumps(obj,sort_keys=True,indent=None if name=='EXECUTION.json' else 2,allow_nan=False)+'\n') + else:check_receipt(name,obj) + print(STATUS+'_CHECK_ONLY' if args.check_only else STATUS) +if __name__=='__main__':main()