From ee4a05f9c926cf85904c81b768d73acaf9e44b54 Mon Sep 17 00:00:00 2001 From: Dillon Amburgey Date: Tue, 10 Nov 2026 12:33:59 -0500 Subject: [PATCH] research: conditional kappa .003638885999709 from native/caller composition Exact package tree from canonical research commit 047b1bb0ffad95b80e288cf20407b8a52ee54e1a. --- .../p104-cohort-short-caller/APPLICATION.md | 29 + .../p104-cohort-short-caller/ENVIRONMENT.json | 14 + research/p104-cohort-short-caller/INPUTS.json | 699 ++++++++ research/p104-cohort-short-caller/README.md | 56 + research/p104-cohort-short-caller/REPLAY.txt | 74 + research/p104-cohort-short-caller/RESULT.json | 1545 +++++++++++++++++ .../p104-cohort-short-caller/SOURCES.json | 24 + research/p104-cohort-short-caller/TASK.json | 157 ++ .../p104-cohort-short-caller/VALIDATION.md | 15 + research/p104-cohort-short-caller/VERIFY.json | 29 + research/p104-cohort-short-caller/adapt.py | 27 + research/p104-cohort-short-caller/inputs.py | 38 + .../inputs/pr7113.tar | Bin 0 -> 3276800 bytes .../inputs/pr7115.tar | Bin 0 -> 2160640 bytes research/p104-cohort-short-caller/price.py | 53 + research/p104-cohort-short-caller/verify.py | 50 + .../p104-cohort-short-caller/verify_native.py | 9 + 17 files changed, 2819 insertions(+) create mode 100644 research/p104-cohort-short-caller/APPLICATION.md create mode 100644 research/p104-cohort-short-caller/ENVIRONMENT.json create mode 100644 research/p104-cohort-short-caller/INPUTS.json create mode 100644 research/p104-cohort-short-caller/README.md create mode 100644 research/p104-cohort-short-caller/REPLAY.txt create mode 100644 research/p104-cohort-short-caller/RESULT.json create mode 100644 research/p104-cohort-short-caller/SOURCES.json create mode 100644 research/p104-cohort-short-caller/TASK.json create mode 100644 research/p104-cohort-short-caller/VALIDATION.md create mode 100644 research/p104-cohort-short-caller/VERIFY.json create mode 100644 research/p104-cohort-short-caller/adapt.py create mode 100644 research/p104-cohort-short-caller/inputs.py create mode 100644 research/p104-cohort-short-caller/inputs/pr7113.tar create mode 100644 research/p104-cohort-short-caller/inputs/pr7115.tar create mode 100644 research/p104-cohort-short-caller/price.py create mode 100644 research/p104-cohort-short-caller/verify.py create mode 100644 research/p104-cohort-short-caller/verify_native.py diff --git a/research/p104-cohort-short-caller/APPLICATION.md b/research/p104-cohort-short-caller/APPLICATION.md new file mode 100644 index 0000000000..8eb852df10 --- /dev/null +++ b/research/p104-cohort-short-caller/APPLICATION.md @@ -0,0 +1,29 @@ +# Conditional application to the composed source + +This applies Rohan Arun's #7113 component proof to the exact #7115 native. Both artifact hashes and public heads are in README.md. The five inherited assumptions and selected completed BIT predecessor are retained. The source-specific proof template is the [#7000 application review](https://github.com/CrocSwap/integer-mult-bounds/blob/e54523517d0f03e58352e647c403a5af3e525a57/docs/research/pr-intake-evidence/pr7000-application/PROOF-REVIEW.md), including its BIT ambient 134 repair. Its generic root/storage and scalar/physical arguments require the substitutions below; a predecessor's numeric receipt alone is insufficient. + +## Native and caller operator substitution + +The #7115 exact constructor preserves every independent arbitrary-input native endpoint while replacing one rank-nine helper with rank-three and rank-six helpers. It checks all three public retiming intervals, the entire rational prefix/suffix, both basis identities and the retained scalar alphabet. Its complete forward and adjoint replays include every owned row. All 3,047 current paid/helper chart pairs and 104 main boundary pairs are then rebuilt with the pinned compiler and distinct signed-Pauli/absolute-phase interpreter. For these Clifford maps, the signed Pauli action fixes the operator up to global phase, which the exact Gaussian check fixes. Thus every column of each chart map is determined. The fresh replay includes a deliberately wrong absolute phase. + +The unchanged 17-stage caller has five noncommuting quarter turns and twelve padding turns in inverse pairs. Its grouped idle bases lie over Z[1/30]. Its exact rational and integer Laurent engines agree on all 72 output fields for every formal central/body variable. In the physical substitution, seventeen disjoint eight-axis stage blocks and nine central axes use ambient 145. For each invocation, exchange the eight native complement axes with the fresh stage block while fixing the routed central axis and spectator axes. The phase-polynomial checks verify both directions. Literal A and B routes then apply commuting body operators on disjoint stage blocks. + +A signed rank-nine idle uses one positive rank-nine recursive request plus the charged ordinary conjugation/phase implementing the inverse on the protected central axis. Current finite signed-child checks cover widths 1,2,3; the symbolic phase geometry supplies the disjoint-axis substitution. The ordered occurrence digest is recomputed from the literal caller and current native geometry. It binds 13,600 native contact boundaries, 110,638 paid positions and 22,189 productive fields. Main-owner aliasing is rejected. Allocate 18,445 distinct (stage,helper) public inputs and 867 reserved native owned banks, plus the retained serial query/LAMBDA bank. The surplus is 1,424. The ownership discipline and owned-erasure hypothesis remain explicit. + +## Common-grid and fixed-root induction + +Scale each of the 3,744 raw caller main input fields by 675 and divide each completed caller main output by 675. The independent integer Laurent replay checks the necessary valuations 3³ and 5², rejects a lower exponent of either prime, and uses safe binary valuation 381. Every normalized main coefficient and pre-ADD product is integral on that odd grid. Substituting actual binary Clifford address operators introduces only powers of two, so the odd-divisibility invariant transfers to whole arrays and all spectators. + +Within each native invocation, scale all 1,485 public fields by 1125 and unscale the completed returns. The separate exact prefix/pre-product derivation and integer replay establish the native grid at fractional height 24. Fresh helpers receive their own independent inputs. The exact native endpoint ensures these helper inputs do not perturb the normalized main caller invariant. Both odd scales are included simultaneously in the unfinished-context mass allowance. + +The fresh forward/adjoint envelope has height 405 and context mass exponent 1164, giving c=2328. This exceeds the old caller receipt's 2314 and is recomputed rather than copied. It remains below 4096. The same conservative ambient 153 compiler threshold funds it: Kstar has 14,093 bits and c·Kstar has 14,104 bits, below H=16480300000000000000000. The independent inequalities check every rounded caller bound as well. Apply the retained full-root common-format induction with fixed padding, signed width p+h+2D+3, fractional width p+D, and 26 temporary bits. Completed child returns preserve this format. Exact finite-state odd division retains the reviewed carry/remainder invariant. + +## Physical upper-cost substitution + +The source-unit ordinary bound 776,298,440 includes the caller and native conversion services. It is distinct from the physical-machine bound. The fresh raw-occurrence counts give 1,131,299 native scalar macro inputs, 117,856 caller macro inputs and 57,978 conversions. The retained conservative factor 32 gives 41,828,256 scalar services; with the reviewed 2²⁰ service constant this is 43,860,105,363,456 times the root scalar-width envelope. Numerators of all actual native/caller instructions and both conversion scales fit 24 bits. + +The current occurrence count gives 298,502 monomial map slots. At actual ambient 145, the retained elementary bound 4(145+1)² is 85,264 records per map, hence at most 25,451,474,528 elementary records per raw occurrence. Use actual owner widths and these finite coefficients in the same fixed-tape stock and movement envelopes from the selected review. The positive compiler/outer slack permits enlarging the eventual cutoffs. This is a conditional asymptotic substitution, not an enumerated machine trace. + +The recomputed complete recurrence has the bracket and claim in README.md; both exact price engines, the compiler and 54 strict plus 4 functional outer inequalities pass. These checks establish the stated private conditional component application under the five assumptions. Independent mathematical review, formal-kernel validation and maintainer admission are separate obligations. + +Credit Rohan Arun for the #7113 proof and implementation, Douglas Colkitt and the #7000 application reviewers, the retained compiler/precision/source authors, and the complete lineage in README.md. Adapted for this exact composition by dillona with substantial OpenAI Codex assistance. Apache-2.0. diff --git a/research/p104-cohort-short-caller/ENVIRONMENT.json b/research/p104-cohort-short-caller/ENVIRONMENT.json new file mode 100644 index 0000000000..90e1c55795 --- /dev/null +++ b/research/p104-cohort-short-caller/ENVIRONMENT.json @@ -0,0 +1,14 @@ +{ + "initial_python": "3.14.7", + "initial_platform": "macOS-27.0.1-arm64-arm-64bit-Mach-O", + "registered_replay": { + "python": "3.12.16", + "platform": "macOS-27.0.1-arm64-arm-64bit", + "result": "PASS both commands; every composition receipt field matched" + }, + "dependencies": "Python standard library", + "interpreter_origin": "Official Astral python-build-standalone release20261026; isolated /tmp installation", + "interpreter_archive_sha256": "fbf4afef53c2a6b72bb741bc06d5671a9dfaf87bd84e5aa73ac9b3d0d589f14e", + "hosted_ci": "Pending publication; canonical base current-CI-navigation onboarding defect is known.", + "completed_utc": "2026-11-10T17:33:23.120512+00:00" +} diff --git 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"4df65c91330724bfde1de4b28f6ba064b3011213", + "size": 1274, + "sha256": "24324fda81dbf824e4f025088294dee9e06606c718e07a20e072650949e71367" + } + ] + } +] diff --git a/research/p104-cohort-short-caller/README.md b/research/p104-cohort-short-caller/README.md new file mode 100644 index 0000000000..7dcc21c949 --- /dev/null +++ b/research/p104-cohort-short-caller/README.md @@ -0,0 +1,56 @@ +# Native/caller composition: conditional κ .003638885999709 + +This package composes dillona's exact [#7115 native](https://github.com/CrocSwap/integer-mult-bounds/pull/7115) with Rohan Arun's exact [#7113 signed 17-stage caller](https://github.com/CrocSwap/integer-mult-bounds/pull/7113). The complete conditional claim is **κ = .003638885999709**, up **.000000570171393** over #7115 and **.000000906229709** over #7113. Both the native word and literal caller retain their predecessor bytes. The new result is their fully recomputed composition and source-specific component application, with explicit invalidation of same-native caches. + +| Input | Exact public head | Canonical artifact SHA256 | +|---|---|---| +| #7115 native | e63533f866455aa5cbc6c405770c31126d76e340 | ae30929ff3b5f6b49a5edac78e2164acfbf809113d0b9f03249ef940dd7b2491 | +| #7113 caller | 07a76c5e2738882c0cb322278e56f6cae3c9885d | 255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc | + +The first hash covers the entire decompressed canonical native word; the second covers the complete literal caller JSON. `INPUTS.json` pins all 21 native-package and 76 caller-package files by SHA256 and Git blob. Their nested source archives, licenses and notices are preserved. The selected frontier is unchanged. + +## Complete result + +The native has 72,833 events, 1,485 public fields and 1,085 independent helpers. The caller has 4,783 events, 72 logical output fields and 17 native invocations. Its current application allocates 18,445 independent stage/helper inputs and 867 native owned banks. Each invocation includes all 51 owned labels and their checked lifetimes. There are 13,600 native contact boundaries on 145 ambient axes. + +Compared with #7113, the full paid histogram is identical and the productive delta is `{3:+17,6:+17,9:−17}`. 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b/research/p104-cohort-short-caller/price.py @@ -0,0 +1,53 @@ +"""Recompute both source invoices and two exact crossing engines. +Retains Rohan Arun's caller adapters and ToikY's attributed price engines. +Prepared for dillona with substantial OpenAI Codex assistance. Apache-2.0. +""" +from pathlib import Path +from hashlib import sha256 +from fractions import Fraction as Q +import gzip,importlib.util,json,sys + +def load(name,path): + spec=importlib.util.spec_from_file_location(name,path);obj=importlib.util.module_from_spec(spec);sys.modules[name]=obj;spec.loader.exec_module(obj);return obj + +def read(path): + raw=Path(path).read_bytes();return json.loads(gzip.decompress(raw) if raw[:2]==b'\x1f\x8b' else raw) + +def normalized(value):return json.loads(json.dumps(value,default=str)) + +def main(native,caller,folder): + source=load('composition_native_source',native/'source.py') + with source.sources() as (vendor,archive,rank9,bundle,parent,word): + sys.path.insert(0,str(folder)) + model=load('composition_signed_model',folder/'signed_model.py');ind=model.signed_model() + code=(folder/'independent.py').read_text();part=code[code.index('def invoices('):code.index('def ordinary(')] + assert part.count('assert calls==18')==1 + part=part.replace('assert calls==18',"assert calls==C['stages']") + old="elif e[1]=='IDLE_ONE':P[8*len(e[3])]+=ports";assert part.count(old)==1 + part=part.replace(old,"elif e[1] in ('IDLE_ONE','IDLE_ODD'):P[8*len(e[3])+(e[1]=='IDLE_ODD')]+=ports") + exec(compile(part,str(folder/'independent.py'),'exec'),ind.__dict__) + C=read(caller/'expected/ODD-TYPE-AB-CALLER.json') + old_word=read(caller/'replay/supplier7112/WORD.json.gz');new_word=read(native/'WORD.json.gz') + old_result=read(caller/'replay/supplier7112/RESULT.json');new_result=read(native/'RESULT.json') + inventories=[ind.native(w) for w in (old_word,new_word)] + for n,r,w in zip(inventories,(old_result,new_result),(old_word,new_word)): + assert normalized(n)==r['native'] and not n['bad_inputs'] + assert sha256(json.dumps(w,sort_keys=True,separators=(',',':')).encode()).hexdigest()==r['word_canonical_sha256'] + before,after=[ind.invoices(w,C,n) for w,n in zip((old_word,new_word),inventories)] + previous=read(caller/'expected/ODD-ADMISSION-PARTIAL.json') + assert normalized(before)==previous['invoice'],'Entire reconstructed #7113 invoice' + G=load('composition_price_engine',bundle/'gate.py') + gate,price=G.exact_price(vendor,archive,before,after,{'gate':previous['compiler_outer']}) + assert Q(gate['claim'])>Q(new_result['gate']['claim']) + native_invoice={k:({int(r):v for r,v in value.items()} if k in ('T','P') else value) for k,value in new_result['invoice'].items()} + directed=G.module('composition_native_comparator',vendor/'interval_gate.py') + assert directed.moment(G.signed(native_invoice),Q(gate['claim']))[1]<0,'#7115 rejects composed claim' + record=normalized(dict(before=before,after=after,gate=gate,price=price,native_baseline_rejects_new_claim=True, + old_native=old_result['word_canonical_sha256'],new_native=new_result['word_canonical_sha256'])) + with (folder/'CURRENT-PRICE.json').open('x') as f:json.dump(record,f,indent=2) + with (folder/'COHORT-PRICE.json').open('x') as f:json.dump(dict(target=after['T'],paid=after['P'],bracket=gate['raw_bracket']),f,indent=2) + print('PASS two reconstructed invoices and both exact price engines',price['claim_decimal'],flush=True) + +if __name__=='__main__': + assert __debug__ + main(*map(Path,sys.argv[1:])) diff --git a/research/p104-cohort-short-caller/verify.py b/research/p104-cohort-short-caller/verify.py new file mode 100644 index 0000000000..86003afbd1 --- /dev/null +++ b/research/p104-cohort-short-caller/verify.py @@ -0,0 +1,50 @@ +"""Fresh source-bound native/caller composition and complete chart catalogue. +Prepared for dillona with substantial OpenAI Codex assistance. Apache-2.0. +""" +from pathlib import Path +from hashlib import sha256 +import argparse,json,shutil,subprocess,sys +sys.path.insert(0,str(Path(__file__).resolve().parent)) +from inputs import HERE,sources,read,need +from adapt import adapt +need(__debug__,'Run without optimized Python') +COMMANDS=('emit_odd_type_b.py','emit_odd_type_ab.py','check_odd_caller_exact_grid.py', + 'check_odd_physical_binding.py','check_odd_precision.py','check_odd_partial_admission.py', + 'check_odd_fixed_tape_counts.py') + +def run(): + with sources() as (source,root): + working=root/'working';shutil.copytree(source[7113]/'replay',working) + folder=working/'supplier7112/short-caller' + for name in ('WORD.json.gz','RESULT.json'):(folder.parent/name).write_bytes((source[7115]/name).read_bytes()) + for path in folder.glob('SHORT-CATALOGUE-*-*.log'):path.unlink() + adapter=adapt(folder) + subprocess.run([sys.executable,'-I','-B',str(HERE/'price.py'),str(source[7115]),str(source[7113]),str(folder)],check=True) + for name in COMMANDS: + print('RUN',name,flush=True) + subprocess.run([sys.executable,'-B',str(folder/name)],cwd=folder,check=True) + need((folder/'ODD-TYPE-AB-CALLER.json').read_bytes()==(source[7113]/'expected/ODD-TYPE-AB-CALLER.json').read_bytes(),'Whole reconstructed literal caller unchanged') + price=read(folder/'CURRENT-PRICE.json');partial=read(folder/'ODD-ADMISSION-PARTIAL.json') + need(price['after']==partial['invoice'],'Complete invoice from two adapters') + need(price['gate']==partial['compiler_outer'],'Both complete directed compiler gates') + catalogue=[] + for start,stop in ((0,1000),(1000,2000),(2000,3047)): + print('RUN complete catalogue',start,stop,flush=True) + path=folder/f'SHORT-CATALOGUE-{start}-{stop}.log' + with path.open('x') as out:subprocess.run([sys.executable,'-B',str(folder/'short_native_catalogue.py'),'--start',str(start),'--stop',str(stop)],cwd=folder,stdout=out,check=True) + text=path.read_text();catalogue.append(json.loads(text[text.index('\n{'):])) + subprocess.run([sys.executable,'-B',str(folder/'assemble_odd_application.py')],cwd=folder,check=True) + files=('ODD-TYPE-AB-REPLAY.json','ODD-CALLER-EXACT-GRID.json','ODD-PHYSICAL-BINDING.json', + 'ODD-PRECISION.json','ODD-ADMISSION-PARTIAL.json','ODD-FIXED-TAPE-COUNTS.json','ODD-8X9-APPLICATION-CHECKS.json') + result=dict(status='PASS_P104_COHORT_SHORT_CALLER',claim=price['gate']['claim'],price=price, + caller_sha256=sha256((folder/'ODD-TYPE-AB-CALLER.json').read_bytes()).hexdigest(), + adapter=adapter,catalogue=catalogue,checks={name:read(folder/name) for name in files}) + return result + +def main(): + p=argparse.ArgumentParser();p.add_argument('--out',type=Path);a=p.parse_args();result=run() + if a.out: + with a.out.open('x') as f:json.dump(result,f,sort_keys=True,indent=2);f.write('\n') + else:need(result==read(HERE/'RESULT.json'),'Every frozen composition receipt field') + print(result['status'],result['claim'],flush=True) +if __name__=='__main__':main() diff --git a/research/p104-cohort-short-caller/verify_native.py b/research/p104-cohort-short-caller/verify_native.py new file mode 100644 index 0000000000..1a36f05461 --- /dev/null +++ b/research/p104-cohort-short-caller/verify_native.py @@ -0,0 +1,9 @@ +"""Full exact replay of the pinned #7115 native and its source construction.""" +from pathlib import Path +import subprocess,sys +sys.path.insert(0,str(Path(__file__).resolve().parent)) +from inputs import sources,need +need(__debug__,'Run without optimized Python') +with sources() as (source,root): + subprocess.run([sys.executable,'-I','-B',str(source[7115]/'verify.py')],check=True) +print('PASS_COMPOSITION_NATIVE_SOURCE',flush=True)

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