diff --git a/research/r437-admitted-count-power/PROOF.md b/research/r437-admitted-count-power/PROOF.md new file mode 100644 index 0000000000..d8c9f2727c --- /dev/null +++ b/research/r437-admitted-count-power/PROOF.md @@ -0,0 +1,104 @@ +# Original admitted NODE through the complete fibre Count + +JoyboyBrian, substantial OpenAI Codex assistance, Apache-2.0. Adapted verification +setup from JoyboyBrian #4987. Original caller, cardinality, physical words and +stock/compiler mechanisms retain the credit in README.md and predecessor notices. + +## Exact contract and changed implementation + +Inputs are a valid immutable source Ring with modulus q^w, compiled integer +q>=2 and w>=1, an encoded nonnegative exponent Word E, and an owned canonical +Count V. Borrowed words enter at the original caller's agreed canonical heads. +The Ring/modulus/exponent and all unrelated dirty state are borrowed. +Count.multiply_small(q), source Counter and Word division are the actual +original primitives; the radix loop retains its original arithmetic and guards +with corrected opt-in cleanup on a rejected intermediate quotient. Runtime Word.inspect or decoding of E,w,V is forbidden. +The required endpoint is V_out=V_in*q^(w E), with borrowed bytes/heads restored +and all owned cache/Counter/numerical backing erased. This is a positive valid- +context contract. Initial Tape/Counter/Word construction and the underlying +primitive-owned allocation contracts must succeed; resource exhaustion and +primitive internal allocation failures are not a general rollback guarantee. It does not roll back partial output Count writes if the +original Count primitive itself fails. + +The original multiply_atom_power traverses radix_power(ring,q) for every one +of E iterations. Each traversal divides the same unchanged modulus by q until +one, validates the exact remainder and copies/frees its own numerical operands. +No iteration modifies the borrowed Ring/modulus/exponent. Its yielded length is +therefore exactly w on every traversal. The original Count modification word is +precisely w*E repetitions of multiply_small(q), in that order. + +The adapter performs the original radix_power division/validation loop once and writes one ONE marker per yielded +step on an owned sequential Tape, followed by RIGHT. It never decodes w into +host control. An actual source Counter copies E. For each Counter iteration, +the cache is read sequentially, each ONE invokes the unchanged Count primitive, +and RIGHT causes a rewind and original Counter decrement. Induction on the +Counter iterations proves the identical full Count modification word and the +required endpoint, for every valid finite input. Source q/carry finite-control +assumptions remain inherited; no new unit-cost arithmetic claim is introduced. + +The owned cache is created before the try and cleared in its finally. The source +Counter is assigned only after successful creation and closed in the same finally. +The opt-in validation loop also releases quotient/remainder if the original +prime-power guard rejects: the frozen original generator checks that guard +before freeing those two new Words. Its copied modulus/divisor are released +in finally. Thus invalid radix validation and a failing Count operation release the adapter's +cache/Counter. A Count exception may retain its own partial output writes; general +failure rollback is not claimed. Cached validation is performed even when E=0, +so malformed contexts may reject earlier than the original no-op branch. This +is outside the stated valid-context equivalence, and is tested explicitly. + +## Actual source binding and completed NODE boundary + +The original source is the exact Machine.node in the authenticated R437 source +closure, inherited through #4987. bridge.py parses its AST and retains every +statement before the assignment to peeled. Only fresh_rows.quotient is replaced +by the already credited #4794 opt-in quotient and multiply_atom_power by the +adapter above. All other globals and statements are unchanged. In particular +these original statements execute: + + total = Unsigned(self.indices).times_small(self.size, 2) + multiply_atom_power(fibre, total, self.context.ring, self.context.q) + self.indices.free(total) + complete = Count.product(fibre, self.count("suffix")) + fibre.close() + self.save_count(complete, "fibre") + +The AST prefix hash and exact statement count are in RESULT.json. This is a +literal source cut before payload peel, not a reimplementation of the NODE +arithmetic. Root checked_entry authenticates original source handle/key, precision, +field, root size/history and stock before invoking the encoded continuation. +The context view is tied to that admitted metadata but its expensive full +Context/codebook constructor is not executed. An authenticated view is not +claimed as proof that the full constructor/caller has run. + +For the unchanged q=2^127-1 root e=n=64,w=2,h=0, original precision is +L255/I8/Q520213. Unused and leading Counts are 9475, gap=suffix=1. The original +completed saved Count is exactly 9475*(q^2)^128, of bit length 32526. A read-only observer wrapping the actual call records one invocation, two +Word divisions and all 256 Count multipliers; these counters never control the +algorithm and the wrapped methods are restored in finally. All 256 +Count multipliers remain paid. Two actual original Word divisions validate the +radix once instead of 256 original divisions. The adapter saves the completed +Count on the original fibre role before the first payload operation. The +root Count, original Program, old directory and unrelated dirty Count173/Word37 +retain bytes and heads. The actual Count output persists only until explicitly +owned disposal; no teardown is used to conceal a failed borrowed-state test. + +## Costs, evidence and limits + +The new cache occupies w marker cells plus terminator/boundary and rewinds for +each exponent iteration. It pays w original radix divisions once, every source +Counter action, every original Count multiplier, all unary-cache reads/moves, +and cleanup. Record/index/residue counters and visited backing are reported +for the complete source prefix and fixture construction/disposal separately. +No huge integer is read as a runtime arithmetic oracle. Independent host integer +arithmetic observes completed outputs only; fixture construction and the inherited +large quotient divisor preparation remain explicit separate costs. + +This is source-bound semantic completion and finite admitted execution. It does +not provide a total fixed binary-TM tariff, a runtime asymptotic improvement, +full Context/GL64 directory construction, payload, original peel, stock/precision +admission for all descendants, compiler or supplier/outer admission. The old +#4987 90.505-second interruption and this complete run are distinct diagnostics; +wall times across revisions/environments are not a proved speed comparison. +The exact reduction from 256 to two original divisions follows from the bound +source word and immutable valid Ring, rather than measured wall time. diff --git a/research/r437-admitted-count-power/README.md b/research/r437-admitted-count-power/README.md new file mode 100644 index 0000000000..6594bd5cb8 --- /dev/null +++ b/research/r437-admitted-count-power/README.md @@ -0,0 +1,78 @@ +# Complete the admitted R437 binary fibre Count + +The actual original q=2^127-1 R437 root now executes through its completed +32,526-bit fibre Count, including the original suffix product and save, before +payload peel. An owned sequential radix cache validates the immutable modulus +once, retaining the original encoded Counter and all 256 Count.multiply_small(q) +calls. Actual original Word divisions fall from 256 to two for this root. +[PROOF.md](PROOF.md) proves the valid-context source equivalence for all widths. + +#4987 already supplied the admitted root/ingress/stock/initial Count boundary. +Its full exponent diagnostic was interrupted after 90.505 seconds. This package +answers its first open next question with an actual completed Count output, +rather than replacing q127 by a tiny fixture. The first full completed run took +56.104 seconds on local Python 3.12.15; that observation is not a proved runtime +bound or a controlled baseline speedup. All frozen inputs remain unchanged. A read-only actual-call observer checks +one adapter invocation, two Word divisions and 256 Count multipliers. + +## Boundary and evidence + +The source AST is cut before the original assignment to peeled. The original +ingress, quotient, stock guard, saved leading, initial fibre, exponent, suffix +product and saved complete fibre run unchanged except the two named opt-in +adapters. The radix validator retains source arithmetic/guards and additionally +releases quotient/remainder on a rejected prime-power guard; the frozen original +guard leaked those two newly allocated Words. Runtime Word.inspect is disabled. The exact output is +9475*(q^2)^128. Original root precision L255/I8/Q520213, source handle/key, +Program and numerical admission checks remain bound to the actual root. + +Borrowed bytes/heads, dirty Count173/Word37, numerical live sets and erased +owned backing are checked before fixture disposal. Separate small-domain +comparisons retain the exact original multiplier word, including zero exponent, +and reject invalid modulus and injected partial Count-failure leaks. The original malformed +radix guard is separately confirmed to leak exactly two returned numerical Words. Typed receipt and +source corruption must reject. Exact counts, AST identity, lane invoices and +output hashes are in [RESULT.json](RESULT.json). + +The context is a structural view bound to admitted metadata. Allocation exhaustion and arbitrary primitive-internal failure rollback are +outside the tested exception classes. Full codebook and +Context construction, physical large-divisor arithmetic pricing, original peel, +complete directory/gather and payload are unrun. Unknown costs are not zero. +This does not admit a supplier, improve kappa, or change the selected result. + +## Reproduce + +Use standard-library Python 3.12: + +```sh +python3.12 -B scripts/research_package.py --package research/r437-admitted-count-power +python3.12 -I -O -B research/r437-admitted-count-power/verify.py +``` + +Both full admitted replays are registered with 120-second bounds. No concurrent +artifact regeneration or whole historical suite is required. The source closure +and exact historical selected-record projection retain the #4987 loading +contract; the latter is not substituted as the current selected result. + +Family decision: NARROW to #4987's concrete incomplete exponent segment, close +this Count boundary, then stop before payload. #4981's complete-prefix consumer +fusion and Nick Petalas #4854's shared-radix quotient remain separate credited +results. Initial overlap covered 310 open PRs, 4096 Discussion records and all +6690 tracked local notes; keyword absence is not novelty. Canonical base is +bee95ce88f9f19802f0613f92838895cd0e14a1f, priority revision 7, selected +conditional kappa 0.00302015 unchanged. Canonical Discussion: #4682. + +## Open next questions + +1. Execute the original peel/directory/gather consumer from this exact completed + Count output, preserving every borrowed row and actual admitted precision. + Full Context/codebook construction and payload scale are blockers. +2. Replace the inherited compile-time large quotient arithmetic diagnostic by + an explicit binary implementation and complete price, retaining all original + source/preparation obligations. A Python big integer is not one physical step. + +Credit David Arias, Chris R/Clear1nsight, Jose Manuel, Nick Petalas, ToikY, +codyw912 and the pinned compiler/caller/stock/Count lineage. The copied root +fixture adapts JoyboyBrian #4987, preserving attribution. New cache/composition +and checks: JoyboyBrian, substantial OpenAI Codex assistance. Apache-2.0. +No independent human or formal proof-kernel acceptance is claimed. diff --git a/research/r437-admitted-count-power/RESULT.json b/research/r437-admitted-count-power/RESULT.json new file mode 100644 index 0000000000..a9490f326c --- /dev/null +++ b/research/r437-admitted-count-power/RESULT.json @@ -0,0 +1,226 @@ +{ + "actual_atom_calls": { + "calls": 1, + "count_multipliers": 256, + "word_divisions": 2 + }, + "batch_constant": { + "bits": 520192, + "sha256": "750f89ba4ed2f9b59c25d497275b3f666ef874f5f06a8b555b4fb8c35b2082b5" + }, + "completed_expansion": { + "cached_word_divisions": 2, + "count_multiply_small": 256, + "final_fibre_bits": 32526, + "original_word_divisions": 256 + }, + "construction": { + "multiplications": 13, + "operand_bit_pairs": [ + [ + 127, + 127 + ], + [ + 254, + 254 + ], + [ + 508, + 508 + ], + [ + 1016, + 1016 + ], + [ + 2032, + 2032 + ], + [ + 4064, + 4064 + ], + [ + 8128, + 8128 + ], + [ + 16256, + 16256 + ], + [ + 32512, + 32512 + ], + [ + 65024, + 65024 + ], + [ + 130048, + 130048 + ], + [ + 260096, + 260096 + ], + [ + 1, + 520192 + ] + ], + "schoolbook_bit_products": 90200420437, + "stored_divisor_bits": 520192 + }, + "controls": [ + { + "continuation_called": false, + "error": "actual canonical residue width", + "name": "wrong precision" + }, + { + "continuation_called": false, + "error": "actual canonical root-index width", + "name": "reset root index" + }, + { + "continuation_called": false, + "error": "actual complete codebook width", + "name": "wrong code width" + }, + { + "continuation_called": false, + "error": "compatible original-root stock divisor", + "name": "incompatible rows" + }, + { + "continuation_called": false, + "error": "executable original-root entry; descendant path certificate required", + "name": "nonroot history" + }, + { + "continuation_called": false, + "error": "fresh source codebook identity", + "name": "stale actual source" + } + ], + "differential": { + "all_control_backing_erased": true, + "controls": [ + "non-prime-power context rejected before Count writes", + "non-prime-power context rejected before Count writes", + "partial Count failure releases cache and Counter without output rollback", + "original malformed guard positive control leaks exactly two Words" + ], + "original_cached_pairs": 81, + "unchanged_multiplier_words": 81 + }, + "encoded_result": { + "borrowed_preserved": true, + "borrowed_ring_size_depth_words": 4, + "full_construct_execute_dispose": { + "index": { + "moves": 3976, + "reads": 3979, + "writes": 883 + }, + "record": { + "moves": 42704090, + "reads": 49520496, + "writes": 14360651 + }, + "residue": { + "moves": 10492500, + "reads": 11163790, + "writes": 2281969 + } + }, + "node_invoice": { + "index": { + "moves": 3668, + "reads": 3669, + "writes": 797 + }, + "record": { + "moves": 30152594, + "reads": 35928605, + "writes": 10165818 + }, + "residue": { + "moves": 10483750, + "reads": 11154546, + "writes": 2279658 + } + }, + "numerical_restored": true, + "outputs": { + "complete_fibre": { + "bits": 32526, + "sha256": "b1a0387b76a9c6b4ea092cad57e20adf7dfdb49746478141aeb14f73452cfae4" + }, + "leading": { + "bits": 14, + "sha256": "b184d29a1c103b5269165d679d2460bdc54ed484d57a4716800bfba78ae036ff" + }, + "unused": { + "bits": 14, + "sha256": "b184d29a1c103b5269165d679d2460bdc54ed484d57a4716800bfba78ae036ff" + } + }, + "record_backing_erased": true, + "visited_record_cells": 3284936 + }, + "full_directory_context_constructed": false, + "input_rows": { + "bits": 1040413, + "sha256": "f6bf5a75756bf8267103578f24f2b5934e122da6d96e68100fc2b28853da7a01" + }, + "live_inputs": 408, + "node_boundary": { + "adapter_return": false, + "ast_sha256": "778f0fc40a63e6e00bf428cabe5a55a894439c1fec007db4cb48c77c97d4496a", + "boundary": "literal NODE through save_count(complete, fibre); before peel", + "statements": 23 + }, + "production_payload_executed": false, + "root_entry": { + "common": false, + "compatible_rows": { + "big_endian_sha256": "f6bf5a75756bf8267103578f24f2b5934e122da6d96e68100fc2b28853da7a01", + "bit_length": 1040413 + }, + "domain": { + "I": 8, + "L": 255, + "Q": 520213, + "e": 64, + "h": 0, + "n": 64, + "w": 2 + }, + "entry_certificate_modular_square_subtract_steps": 125, + "guard_before_continuation": true, + "guard_implementation": "host finite arithmetic; exact source/parameter guard, physical encoded guard tariff open", + "mode": "numerical", + "numerical_admitted": true, + "production_payload_execution": false, + "q": "170141183460469231731687303715884105727", + "rank": 2, + "request": 1676, + "request_key": [ + "MOVE", + 0, + 0, + 22397 + ], + "row_multiplier": { + "big_endian_sha256": "4bf5122f344554c53bde2ebb8cd2b7e3d1600ad631c385a5d7cce23c7785459a", + "bit_length": 1 + }, + "source_identity": "bcea2a31e9001699148b6f1ff8524a0c6c4524d70ef47add027651da31389a73", + "stock_certificate_scope": "original root" + }, + "scope": "Original admitted root through completed fibre and suffix Count product before peel; full Context, physical big-int tariff and payload remain open.", + "status": "PASS_R437_ADMITTED_COUNT_POWER" +} diff --git a/research/r437-admitted-count-power/SOURCES.json b/research/r437-admitted-count-power/SOURCES.json new file mode 100644 index 0000000000..aab79e0e69 --- /dev/null +++ b/research/r437-admitted-count-power/SOURCES.json @@ -0,0 +1,2474 @@ +{ + "schema_version": 1, + "base_commit": "bee95ce88f9f19802f0613f92838895cd0e14a1f", + "files": [ + { + "path": "certificates/selected-result.json", + "usage": "provenance", + "git_blob": "c35482cd9035843b15a634cc8276a7e1e40e8395", + "sha256": "6fe0a099b89aa2aed796a13c3a21dafc63f3388ebf397464e44e0451893b9375" + }, + { + "path": "docs/research/agent-task-catalog.json", + "usage": "provenance", + "git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602", + "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72" + }, + { + "path": "research/r437-admitted-count-consumer/README.md", + "usage": "input", + 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A local moment gain is not a physical or all-size supplier admission.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #4067 paid profile and open integration obligations; #4147 covers the reverse row coefficient. Three additional ADDs per call and all helpers remain charged. This is not a selected supplier.", + "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately." + }, + "first_experiment": "Choose one unclaimed obligation: pooled compiler codebook/request alignment, actual physical caller, or precision/stock envelope using the already reported reverse coefficient. Pin the input and receiver, preserve dirty/source windows, and test one binding with a rejection control. Stop at unresolved dependencies; do not rederive the coefficient or quote the local moment as a completed bound.", + "bottleneck_link": "The exchange changes the paid profile; integration must establish that its gain survives the complete caller.", + "allowed_variations": [ + "One compiler rebind, one actual caller boundary, or one precision/stock implication." + ], + "scope_change_triggers": [ + "Ignoring added ADDs, retaining an obsolete reverse coefficient, or declaring global admission from the local histogram." + ], + "overlap_terms": [ + "R437", + "two-window carrier", + "4067", + "4147", + "pooled compiler", + "request alignment", + "reverse row coefficient" + ], + "existing_checks": [ + { + "scope": "PR #4067: source-bound two-window carrier with (2,2) to (1,3) paid exchange and fixed OQ4 host.", + "evidence": "research/r437-two-window-carrier/README.md", + "remaining": "Pooled compiler/request rebind, physical caller and precision/stock admission.", + "status": 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payload and global caller admission", + "budget_minutes": 60, + "stop_rule": "Stop at the completed saved Count before peel; no full Context or payload claim", + "outcome": "completed", + "evidence": "PROOF.md and RESULT.json; exact root execution and rejection controls", + "author": "JoyboyBrian", + "ai_assistance": "Substantial OpenAI Codex assistance; parallel research and independent proof/code review; no independent human acceptance", + "open_questions": [ + { + "question": "Bind the completed Count boundary to the complete directory and payload consumers", + "why_it_matters": "The local Count/linear query interface alone cannot admit the recursive supplier", + "first_step": "Retain the actual admitted root and execute one source-bound consumer with complete restoration", + "blocked_by": "Full Context, physical tapes and payload costs" + } + ], + "overlap": { + "open_prs": 310, + "discussions": 4096, + "local_notes": 6690, + "complete_pagination": true, + "limits": "Arbitrary 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"upstream/build/sections/02-streams.tex" + ], + "commands": [ + { + "argv": [ + "{python}", + "-I", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 120, + "checks": "Original admitted q127 NODE through completed binary Count, exact independent endpoint, root rejection, owned backing and borrowed-state checks" + }, + { + "argv": [ + "{python}", + "-I", + "-O", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 120, + "checks": "Same full admitted Count boundary under optimization" + } + ] +} diff --git a/research/r437-admitted-count-power/adapter.py b/research/r437-admitted-count-power/adapter.py new file mode 100644 index 0000000000..9653b03852 --- /dev/null +++ b/research/r437-admitted-count-power/adapter.py @@ -0,0 +1,42 @@ +"""Reuse the immutable radix validation; retain every original Count multiplier. + +JoyboyBrian with substantial OpenAI Codex assistance. Apache-2.0. +Original cardinality/Counter/Tape semantics retain predecessor attribution. +""" + +def install(records, stream, words): + def multiply_atom_power(value, exponent, ring, q): + cache, count = records.Tape(), None + try: + arena=ring.arena + divisor,power=arena.literal(q),arena.copy(ring.modulus) + try: + while ring.raw.compare(power,ring.one)>0: + quotient,remainder=ring.raw.divmod(power,divisor) + try: + words.need(remainder.zero() and not quotient.zero(), + 'cardinality prime-power context') + except BaseException: + arena.free_many(quotient,remainder) + raise + arena.free_many(power,remainder) + power=quotient + cache.append(words.ONE) + words.need(ring.raw.compare(power,ring.one)==0,'complete radix exponent') + finally: + arena.free_many(divisor,power) + cache.append(words.RIGHT) + cache.rewind() + count = stream.Counter(exponent) + while not count.finished: + while cache.read() != words.RIGHT: + words.need(cache.read() == words.ONE, 'cached radix marker') + value.multiply_small(q) + cache.step(1) + cache.rewind() + count.decrement() + finally: + if count is not None: + count.close() + cache.clear() + return multiply_atom_power diff --git a/research/r437-admitted-count-power/bridge.py b/research/r437-admitted-count-power/bridge.py new file mode 100644 index 0000000000..927dec1d3a --- /dev/null +++ b/research/r437-admitted-count-power/bridge.py @@ -0,0 +1,25 @@ +"""Literal original NODE through saved fibre, before first payload peel. + +Adapted from JoyboyBrian PR4987; original Machine belongs to credited callers. +Apache-2.0; substantial OpenAI Codex assistance. +""" +import ast, copy, hashlib +from pathlib import Path +from types import SimpleNamespace + +def compile_node_prefix(module, quotient, atom_power): + tree=ast.parse(Path(module.__file__).read_text()) + cls=next(n for n in tree.body if isinstance(n,ast.ClassDef) and n.name=='Machine') + node=next(n for n in cls.body if isinstance(n,ast.FunctionDef) and n.name=='node') + stop=next(i for i,n in enumerate(node.body) if isinstance(n,ast.Assign) and + isinstance(n.targets[0],ast.Name) and n.targets[0].id=='peeled') + kept=copy.deepcopy(node);kept.name='bound_node_prefix';kept.body=kept.body[:stop] + original_ast=ast.dump(ast.Module(body=kept.body,type_ignores=[])) + namespace=dict(vars(module));namespace['fresh_rows']=SimpleNamespace(quotient=quotient) + namespace['multiply_atom_power']=atom_power + exec(compile(ast.fix_missing_locations(ast.Module(body=[kept],type_ignores=[])), + '','exec'),namespace) + return namespace['bound_node_prefix'],dict(statements=stop, + ast_sha256=hashlib.sha256(original_ast.encode()).hexdigest(), + boundary='literal NODE through save_count(complete, fibre); before peel', + adapter_return=False) diff --git a/research/r437-admitted-count-power/controls.py b/research/r437-admitted-count-power/controls.py new file mode 100644 index 0000000000..27e92ad6a4 --- /dev/null +++ b/research/r437-admitted-count-power/controls.py @@ -0,0 +1,81 @@ +"""Actual original/cached arithmetic comparisons and ownership failure controls. + +JoyboyBrian; substantial OpenAI Codex assistance; Apache-2.0. +""" +from types import MethodType + +def run(cached,cardinality,records,words,Count): + def need(ok,message): + if not ok:raise ValueError(message) + def observe(value): + body=value.tape.cells[1:];stop=body.index(words.RIGHT) + return sum(bit<