From 80a2ab05c58b6a7e2050567ce12aae67bcf334cd Mon Sep 17 00:00:00 2001 From: zxv Date: Sun, 18 Oct 2026 07:02:06 -0400 Subject: [PATCH 1/8] Research three assigned leads; freeze four-axis bridge boundary test --- research/three-kappa-leads/BRIDGE-RESULT.json | 1425 +++++++++++++++++ research/three-kappa-leads/BRIDGE.md | 49 + .../three-kappa-leads/CONSUMER-RESULT.json | 594 +++++++ research/three-kappa-leads/SOURCES.json | 200 +++ research/three-kappa-leads/STATUS.json | 1 + research/three-kappa-leads/bridge_screen.py | 61 + research/three-kappa-leads/check_inputs.py | 9 + .../three-kappa-leads/chronology_screen.py | 70 + research/three-kappa-leads/consumer_screen.py | 75 + 9 files changed, 2484 insertions(+) create mode 100644 research/three-kappa-leads/BRIDGE-RESULT.json create mode 100644 research/three-kappa-leads/BRIDGE.md create mode 100644 research/three-kappa-leads/CONSUMER-RESULT.json create mode 100644 research/three-kappa-leads/SOURCES.json create mode 100644 research/three-kappa-leads/STATUS.json create mode 100644 research/three-kappa-leads/bridge_screen.py create mode 100644 research/three-kappa-leads/check_inputs.py create mode 100644 research/three-kappa-leads/chronology_screen.py create mode 100644 research/three-kappa-leads/consumer_screen.py diff --git a/research/three-kappa-leads/BRIDGE-RESULT.json b/research/three-kappa-leads/BRIDGE-RESULT.json new file mode 100644 index 0000000000..c05e40001d --- /dev/null +++ b/research/three-kappa-leads/BRIDGE-RESULT.json @@ -0,0 +1,1425 @@ +{ + "address_dependent_bridge": "OPEN; formal solution only, no priced native realization", + "both_supplier_caps": "unchanged; no improved full candidate", + "bridge": { + "coefficient": 1, + "dst": 1, + "kind": "bridge", + "src": 0 + }, + "cases": [ + { + "character": 0, + "mask": 0, + "phase_difference": 0, + "replacement": [ + [ + 1, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + [ + 0, + 1, + 0, + -1, + 0, + 0, + 0, + 0 + ], + [ + 1, + 0, + 1, + 0, + 0, + 0, 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Fixed-word injectivity source applies separately; not re-proved here.", + "new_four_axes": [ + 469762048, + 436207616, + 369098752, + 234881024 + ], + "old_four_axes": [ + 33554432, + 67108864, + 134217728, + 268435456 + ], + "owner": 0, + "port": 0, + "rank_after": 48, + "rank_before": 48, + "rank_saving": 0, + "status": "SCOPED_NEGATIVE_ADDRESS_INDEPENDENT_SINGLE_BRIDGE" +} diff --git a/research/three-kappa-leads/BRIDGE.md b/research/three-kappa-leads/BRIDGE.md new file mode 100644 index 0000000000..ea080f7d65 --- /dev/null +++ b/research/three-kappa-leads/BRIDGE.md @@ -0,0 +1,49 @@ +# Lead 2: changed dictionary plus one bridge + +This is a scoped negative for a single **address-independent** replacement bridge, and local progress on the broader lead. It does not exclude address-dependent bridge programs or admit a supplier. + +Exact source: canonical main `20ecf2891d80b5acf18d980b2164fb44ea7faa90`, archived #3432 `23db0fe51aba6256db76e07df96a6698752c7d79`, and its pinned PR3148 fill/PR3187 physical semantics. See SOURCES.json. The newer main package `t740-complete-phase-map` is relevant prior work: it proves fixed-word residual phase-function injectivity for owner 0 / port 0, including arbitrary changed dictionaries. Its source proof is used as an attributed dependency, not claimed as our discovery. The older #3296/#3328/#3311/#3272 fixed-dictionary and fixed-bridge results are not being rerun as a new search. Shared-phase-repair-rank #3229 is not used as an unpriced repair. + +## Boundary and exact experiment + +The eight data streams are arbitrary complex arrays on 73-bit addresses. Hosted prefixes, source accesses, translations, event order, all native local calls and terminal event remain fixed. At owner 0 / port 0, choose the first four unhosted orthonormal axes of terminal residual child 12 (rank 48). Replace each axis `v_i` by the xor of the other three. This is the non-permutation orthogonal four-frame move; the other 44 residual axes and every hosted axis stay fixed. The combined basis remains orthonormal because new axes lie in the old four-dimensional span. + +For the four isolated character bits `b_i`, put `s=xor_i b_i`. The new bits are `b_i xor s`. If s=0, weights agree; if s=1, the new weight is 4 minus the old odd weight. Hence the Z/4 phase difference is `2s`, exactly the translation `X_delta`, delta=xor_i v_i. The verifier checks all 16 characters and the exact 8x8 intertwining matrices; the four-bit calculation covers all ambient characters because other coordinates do not enter the difference. + +Child12 acts on stream X0 before the final bridge (src0,dst1,c=1). Between it and this bridge, other residual phases and the preceding two bridges fix X0. Thus the altered preceding segment is `D P`, where D translates X0 by delta and P is the old segment; D commutes with the intervening factors. The fixed invertible suffix and prefix force the unique replacement to be `B'(x)=B D(x)^-1=B D(x)`. This is a Gaussian-integer matrix at every character. Its X0 diagonal and the coefficient to X1 vary with the character. Exact multiplication checks `B'(x) D(x)=B` for all 16 possibilities. The unmodified constant bridge fails at an explicit dirty input basis vector. Matrix equality covers arbitrary data and does not assume zero workspace. + +## Stronger elementary screen + +Any independent residual dictionary and any translation have phase one at character x=0. With only one bridge replaced, all remaining operations at x=0 are unchanged and invertible. Therefore an address-independent 8x8 replacement matrix B' must satisfy `S B' P=S B P`, forcing B'=B. This applies to arbitrary constant Gaussian matrices, not just changing the scalar coefficient. It rules out using a genuinely changed constant bridge to evade a fixed-word obstruction. It does **not** constrain B'(x) away from x=0 if a new address-dependent native program is allowed. + +Combining this with the attributed fixed-word phase-map injectivity forces unchanged residual phase functions and independent ranks for this owner0/port0 model. That consequence is conditional on the predecessor's exact proof, whose replay is recorded separately. It is not a new all-port theorem. + +## Complete ledger and decision + +| Obligation | Result | +|---|---| +| Actual source access / hosted axes | Fixed and pinned; no new access assumed | +| Four changed axes / rank | Constructed exactly; residual rank stays 48 | +| Complete paid child profile | Unchanged even optimistically: zero rank saving | +| Formal replacement bridge | Exact character-dependent matrix constructed | +| Ordinary native scalar bridge | Impossible for a nontrivial difference, by zero-character argument | +| Address-dependent native realization / conversions | UNKNOWN; cannot be charged zero | +| Dirty restoration | Exact eight-stream boundary covered for formal matrix; no full replacement native workspace program | +| New hosting / precision / physical release | UNKNOWN for any changed native program | +| Both supplier caps / comparator | Neither changes in the screened model. Selected κ=0.001672660197076918; live #3624 candidate≈0.001730047552093344159584−10^-46−10^-70, not independently fully replayed here | + +The cost-preserving four-frame move cannot increase κ even if its extra bridge work were free. The broader changed-dictionary/changed-address-dependent-bridge lead remains **INCONCLUSIVE**; this experiment isolates a necessary changed contract rather than exhausting that domain. No additive defect repair or unrelated census is justified by this result. + +## Replay + +`python3 -B research/three-kappa-leads/bridge_screen.py` + +`python3 -B research/t740-complete-phase-map/independent.py` + +The first is an exact standard-library source projection and finite matrix check; it compares BRIDGE-RESULT.json and authenticates inputs. The second belongs to the credited predecessor and checks its symbolic phase-map theorem, not a changed bridge. No Lean, Docker, optimizer or full selected replay is needed for this scoped conclusion. + +## Open next questions + +Construct an address-dependent bridge that changes the original factorization and lowers the full residual profile. First give its stream/address action, entry/exit frames and exact native word, then account for all recursive changes, translations, sources, conversion, scratch, hosting and restoration. A formal B'(x) is insufficient; no affordable such program is known. A four-axis same-span rotation alone has zero rank saving, so a future attempt must explain a changed subspace/rank or a separate eliminated native obligation. + +Credit all retained source authors, the #3432 and complete-phase-map packages, and the PR3148/PR3187 lineage. New analysis and checks by OpenAI Codex with substantial AI assistance. Astra review is scoped same-session AI review, not human or formal acceptance. diff --git a/research/three-kappa-leads/CONSUMER-RESULT.json b/research/three-kappa-leads/CONSUMER-RESULT.json new file mode 100644 index 0000000000..faaf1e9936 --- /dev/null +++ b/research/three-kappa-leads/CONSUMER-RESULT.json @@ -0,0 +1,594 @@ +{ + "basis_addresses": 512, + "blocks": 23, + "consumed_member_sha256": { + "candidate/strict/global/base/split-centres/CANONICAL-WORD.json.gz": "62684fd4d4ffabf3b2f2ce4bc8ccdad07bcc7f2685aec86761cfebe1c39e7a0c", + "candidate/strict/global/base/split-centres/LOCAL-PROGRAMS.json.gz": "46a35d13470558fa849aac3cfd5e389a97eff1c401d81047222a599b5b10ee61" + }, + "cost_ledger": { + "both_supplier_caps": "No changed complete supplier; no new kappa", + "hosting_precision_outer": "UNKNOWN", + "local_copy_charge": 118, + "native_shared_producer": "UNKNOWN", + "optimistic_extra_work_allowance": 157, + "provisional_cleanup_units": 23, + "target_translation_routing_restoration": 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--git a/research/three-kappa-leads/STATUS.json b/research/three-kappa-leads/STATUS.json new file mode 100644 index 0000000000..e9c312cbaf --- /dev/null +++ b/research/three-kappa-leads/STATUS.json @@ -0,0 +1 @@ +{"base_main":"20ecf2891d80b5acf18d980b2164fb44ea7faa90","priority_revision":6,"scope":"Three explicitly assigned leads; no selected-frontier edit or public submission authorized","lead1":{"status":"active","test":"one adjacent T37/T8 join swap; source-derived windows and optimistic fractional whole-helper allocation"},"lead2":{"status":"pending","test":"four-axis orthogonal-frame move and one intervening bridge"},"lead3":{"status":"pending","test":"one five-frame lift, actual consumer, next block physical address contract"},"review_requirement":"Fresh GPT-6 Astra medium subagent immediately before each conclusion"} diff --git a/research/three-kappa-leads/bridge_screen.py b/research/three-kappa-leads/bridge_screen.py new file mode 100644 index 0000000000..0ef77bd735 --- /dev/null +++ b/research/three-kappa-leads/bridge_screen.py @@ -0,0 +1,61 @@ +#!/usr/bin/env python3 +"""Source-bound four-axis/one-bridge test. Standard library, exact integers.""" +from pathlib import Path +import importlib.util,json,hashlib,argparse +from check_inputs import authenticate +authenticate() +ROOT=Path(__file__).resolve().parents[2];P=Path(__file__).resolve().parent + +def need(ok,msg): + if not ok:raise ValueError(msg) +def load(path,name): + spec=importlib.util.spec_from_file_location(name,path);m=importlib.util.module_from_spec(spec);spec.loader.exec_module(m);return m +def dot(a,b):return (a&b).bit_count()%2 +def mm(a,b):return [[sum(a[i][k]*b[k][j] for k in range(8))for j in range(8)]for i in range(8)] +def eye():return [[int(i==j)for j in range(8)]for i in range(8)] +def shear(event): + b=eye();s,d,c=event['src'],event['dst'],event['coefficient'];b[2*d][2*s]=c;b[2*s+1][2*d+1]=-c;return b + +def main(): + ap=argparse.ArgumentParser();ap.add_argument('--write',type=Path);a=ap.parse_args() + src=load(ROOT/'research/rank7-idle-star-stream-obstruction/source.py','bound_source');context=src.load_context() + # Reconstruct residuals from the pinned owner projection without executing its interpreter. + recipe=context['recipe'];axes=[list(map(int,c['orthogonal_axes']))for c in recipe['idle_children']];used={i:set()for i in range(20)} + for t,h,o,ch,port,offset in context['rows']: + stage,rep=context['order'][t];pid=context['dispatch'][stage,rep%74];w=context['providers'][pid]['widths'][h] + used[ch].update(range(offset,offset+w)) + residual={ch:[v for j,v in enumerate(basis)if j not in used[ch]]for ch,basis in enumerate(axes)} + old=residual[12][:4];need(len(residual[12])==48,'terminal donor rank');need(all(dot(x,y)==int(i==j)for i,x in enumerate(old)for j,y in enumerate(old)),'orthonormal source four-frame') + delta=0 + for v in old:delta^=v + new=[delta^v for v in old];need(all(dot(x,y)==int(i==j)for i,x in enumerate(new)for j,y in enumerate(new)),'orthonormal changed dictionary') + need(len(set(old)&set(new))==0,'genuine dictionary change') + bridges=[e for e in context['template']['execution_schedule']if e['kind']=='bridge'];event=bridges[-1] + need(event=={'kind':'bridge','src':0,'dst':1,'coefficient':1},'last actual bridge') + B=shear(event);cases=[] + for mask in range(16): + character=0 + for i,v in enumerate(old): + if mask>>i&1:character^=v + before=sum(dot(character,v)for v in old)%4;after=sum(dot(character,v)for v in new)%4 + need((after-before)%4==2*dot(character,delta),'Z4 difference') + D=eye();D[0][0]=(-1)**dot(character,delta) + # All other factors between child12 and final bridge are unchanged, invertible, + # and fix stream0. Thus the unique replacement is B'=B D^-1=B D. + replacement=mm(B,D);need(mm(replacement,D)==B,'exact 8x8 intertwining') + need((replacement==B)==(dot(character,delta)==0),'nonconstant bridge') + cases.append({'mask':mask,'character':character,'phase_difference':(after-before)%4,'replacement':replacement}) + # For ANY axis dictionary (not just this four-frame), at x=0 all phases are 1. + # Invertible fixed prefix/suffix force any address-independent replacement B'=B. + need(cases[0]['replacement']==B,'trivial-character uniqueness') + need(cases[1]['replacement']!=B,'wrong constant bridge negative control') + # Dirty-state counterexample uses a basis vector; equality of matrices covers all values. + e0=[1]+[0]*7;got=[sum(cases[1]['replacement'][i][j]*e0[j]for j in range(8))for i in range(8)] + need(got!=[sum(B[i][j]*e0[j]for j in range(8))for i in range(8)],'dirty basis witness') + out={'status':'SCOPED_NEGATIVE_ADDRESS_INDEPENDENT_SINGLE_BRIDGE','owner':0,'port':0,'child':12,'rank_before':48,'rank_after':48,'old_four_axes':old,'new_four_axes':new,'delta':delta,'bridge':event,'cases':cases,'rank_saving':0,'both_supplier_caps':'unchanged; no improved full candidate','address_dependent_bridge':'OPEN; formal solution only, no priced native realization','general_claim':'Any address-independent replacement matrix at one bridge is forced to equal the original by the trivial Fourier character, regardless of residual dictionary changes. Fixed-word injectivity source applies separately; not re-proved here.'} + payload=json.dumps(out,indent=2,sort_keys=True)+'\n' + if a.write:a.write.write_text(payload) + else: + expected=json.loads((P/'BRIDGE-RESULT.json').read_text());need(out==expected,'receipt differs') + print('PASS_BRIDGE_SCREEN 16_exact_intertwiners rank_delta=0 scalar_bridge_rejected_at_nonzero_character general_address_dependent_case=OPEN') +if __name__=='__main__':main() diff --git a/research/three-kappa-leads/check_inputs.py b/research/three-kappa-leads/check_inputs.py new file mode 100644 index 0000000000..b995e04718 --- /dev/null +++ b/research/three-kappa-leads/check_inputs.py @@ -0,0 +1,9 @@ +"""Authenticate the scientific source closure before predecessor execution.""" +from pathlib import Path +import hashlib,json +ROOT=Path(__file__).resolve().parents[2] +def authenticate(): + for row in json.loads((Path(__file__).parent/'SOURCES.json').read_text())['files']: + p=ROOT/row['path'] + if p.is_symlink()or not p.is_file()or hashlib.sha256(p.read_bytes()).hexdigest()!=row['sha256']: + raise ValueError('changed scientific source: '+row['path']) diff --git a/research/three-kappa-leads/chronology_screen.py b/research/three-kappa-leads/chronology_screen.py new file mode 100644 index 0000000000..3cd6b3478d --- /dev/null +++ b/research/three-kappa-leads/chronology_screen.py @@ -0,0 +1,70 @@ +"""Exploratory floating LP column generation; exact certificate remains separate.""" +import os,sys,json,importlib.util,math,time +from pathlib import Path +from collections import Counter +import numpy as np +from scipy.optimize import linprog +from scipy.sparse import coo_matrix +ROOT=Path(__file__).resolve().parents[2] +os.environ['OWNER_SOURCE_REPO']=str(ROOT) +P=Path('/tmp/three-kappa-source/research/staged-width-t450/owners') +s=importlib.util.spec_from_file_location('source_context',P/'source_context.py');v=importlib.util.module_from_spec(s);s.loader.exec_module(v) +c=v.common.context();d=json.loads((P/'CANDIDATE.json').read_text());W=v.W;INV=v.INV +k=0.0017300475520933442 + +def patterns(cap,dual): + # Dynamic program over occupied integer mass; values are exploratory floats. + dp=[None]*(cap+1);dp[0]=(0.,(0,)*6) + for used in range(cap+1): + if dp[used] is None:continue + val,q=dp[used] + for i,w in enumerate(W): + if used+w<=cap and (dp[used+w] is None or val+dual[i]>dp[used+w][0]): + nq=list(q);nq[i]+=1;dp[used+w]=(val+dual[i],tuple(nq)) + return min(((((cap-u)**(1-k) if cap>u else 0)-z[0]),z[1]) for u,z in enumerate(dp) if z is not None) + +def solve(order,label): + win=c.owner.windows(c.template,order,45) + G=[[*key,n] for key,n in sorted(Counter((cap,lo,hi) for cap,lo,hi in win.values()).items())] + for g in G:g[3]*=112 + # Seed every group with all predecessor pattern types of its capacity. + bycap={cap:set() for cap,lo,hi,n in G} + for gi,q,n in d['x']:bycap[d['groups'][gi][0]].add(tuple(q)) + for cap in bycap: + bycap[cap].add((0,)*6) + for i,w in enumerate(W):bycap[cap].add(tuple(cap//w if j==i else 0 for j in range(6))) + pools=[set(bycap[g[0]]) for g in G] + flows=[(gi,t,i) for gi,(cap,lo,hi,n) in enumerate(G) for t in range(lo+1,hi+1) for i,w in enumerate(W) if w<=cap] + gt=sorted({(gi,t) for gi,t,i in flows});gtidx={key:i for i,key in enumerate(gt)} + ne=len(G)*7+405*6 + b=np.zeros(ne) + for gi,g in enumerate(G):b[gi*7]=g[3] + for t in range(405): + for i,w in enumerate(W):b[len(G)*7+t*6+i]=INV[w] + for it in range(40): + rr=[];cc=[];vv=[];ur=[];uc=[];uv=[];cost=[];xs=[] + for gi,g in enumerate(G): + for q in sorted(pools[gi]): + j=len(cost);xs.append((gi,q));left=g[0]-sum(w*n for w,n in zip(W,q));cost.append(left**(1-k) if left else 0) + rr.append(gi*7);cc.append(j);vv.append(1) + for i,n in enumerate(q): + if n:rr.append(gi*7+1+i);cc.append(j);vv.append(n) + nx=len(cost) + for gi,t,i in flows: + j=len(cost);cost.append(0) + rr.extend([gi*7+1+i,len(G)*7+t*6+i]);cc.extend([j,j]);vv.extend([-1,1]);ur.append(gtidx[gi,t]);uc.append(j);uv.append(1) + A=coo_matrix((vv,(rr,cc)),shape=(ne,len(cost))).tocsr();U=coo_matrix((uv,(ur,uc)),shape=(len(gt),len(cost))).tocsr() + res=linprog(cost,A_ub=U,b_ub=[G[gi][3] for gi,t in gt],A_eq=A,b_eq=b,bounds=(0,None),method='highs') + if not res.success:raise RuntimeError(res.message) + added=0;worst=0 + for gi,(cap,lo,hi,n) in enumerate(G): + value,q=patterns(cap,res.eqlin.marginals[gi*7+1:gi*7+7]);reduced=value-res.eqlin.marginals[gi*7];worst=min(worst,reduced) + if reduced < -1e-7 and q not in pools[gi]:pools[gi].add(q);added+=1 + local=sum(n*405*r**(1-k) for r,n in v.LOCAL.items());den=896*45*73**(1-k) + print(label,it,'vars',len(cost),'obj',res.fun,'moment',(local+res.fun)/den,'added',added,'reduced',worst,flush=True) + if not added: + result={'label':label,'status':'FLOAT_LP_EXPLORATORY_ONLY','order':order,'groups':G,'moment_at_comparator':(local+res.fun)/den,'idle_objective':res.fun,'worst_reduced_cost':worst,'x':[[gi,list(q),float(a)] for (gi,q),a in zip(xs,res.x[:nx]) if a>1e-7],'z':[[gi,t,W[i],float(a)] for (gi,t,i),a in zip(flows,res.x[nx:]) if a>1e-7]} + Path('/tmp/three-kappa-'+label+'.json').write_text(json.dumps(result));return result + raise RuntimeError('column generation round cap') +order=d['order'];swap=order[:];swap[332],swap[333]=swap[333],swap[332] +for label,clock in [('join-swap',swap),('baseline',order)]:solve(clock,label) diff --git a/research/three-kappa-leads/consumer_screen.py b/research/three-kappa-leads/consumer_screen.py new file mode 100644 index 0000000000..acfc992060 --- /dev/null +++ b/research/three-kappa-leads/consumer_screen.py @@ -0,0 +1,75 @@ +#!/usr/bin/env python3 +"""Exact boundary test for a shared five-plane scratch with native consumers.""" +from pathlib import Path +from fractions import Fraction as Q +import json,gzip,tarfile,hashlib,importlib.util,argparse +from check_inputs import authenticate +authenticate() +ROOT=Path(__file__).resolve().parents[2];P=Path(__file__).resolve().parent +ARCHIVE=ROOT/'research/community-frontier1094-audit/selected-replay.tar.gz' +BASE='candidate/strict/global/base/split-centres/' +def need(x,m): + if not x:raise ValueError(m) +def translate(v,delta):return {x^delta:y for x,y in v.items()} +def add(dst,src,c): + out=dst.copy() + for x,y in src.items():out[x]=out.get(x,Q(0))+c*y + return {x:y for x,y in out.items()if y} +def main(): + ap=argparse.ArgumentParser();ap.add_argument('--write',type=Path);a=ap.parse_args() + path=ROOT/'research/five-plane-port-p112-seed1f7fdfe4/core.py' + spec=importlib.util.spec_from_file_location('five_source',path);core=importlib.util.module_from_spec(spec);spec.loader.exec_module(core) + labels,_=core.load_sources();candidate=json.loads((path.parent/'CANDIDATE.json').read_text())['candidate'];blocks=candidate['blocks'] + hashes={} + with tarfile.open(ARCHIVE)as t: + data={} + for name in ['CANONICAL-WORD.json.gz','LOCAL-PROGRAMS.json.gz']: + raw=gzip.decompress(t.extractfile(BASE+name).read());hashes[BASE+name]=hashlib.sha256(raw).hexdigest();data[name]=json.loads(raw) + canonical=data['CANONICAL-WORD.json.gz'];events=data['LOCAL-PROGRAMS.json.gz']['forward'];deltas=[];consumers=[] + for group in blocks: + delta=0 + for port in group:delta^=labels[port] + deltas.append(delta) + # Bind a real native scalar ADD to a target in this block. The proposed five-plane + # producer is hypothetical; this tests the exact ZERO-frame consumer interface. + target=112+group[0] + index,event=next((i,e)for i,e in enumerate(events)if e[0]=='scalar'and e[1][0]=='add'and e[1][1]==['L',target]and e[1][2][0]=='C') + need(event[2]==0,'consumer ZERO frame');need(event[1][3]!=0,'nonzero consumer') + consumers.append({'port':group[0],'event_index':index,'event':event}) + need(len(blocks)==23 and len({r['port']for r in consumers})==23,'distinct native target streams') + total=0 + for delta in deltas:total^=delta + need(total==0,'global cancellation premise') + cumulative=0;pending=[] + for delta in deltas:cumulative^=delta;pending.append(cumulative) + # Source scratch h is optimistically identical through all lifts; each native + # consumer writes an independent target. Even this extra sharing is insufficient. + cases=0 + for address in range(512): + h={address:Q(1)};initial=h.copy();outputs=[] + for delta,row in zip(deltas,consumers): + h=translate(h,delta);e=row['event'];c=Q(e[1][3],e[1][4]);dirty={address^511:Q(7)} + actual=add(dirty,h,c);expected=add(dirty,initial,c);outputs.append(actual==expected) + need(h==initial,'optimistic shared scratch endpoint') + need(not outputs[0],'first actual consumer must expose pending translation') + cases+=1 + # Correct positive control: translate each target with its source and undo it + # after the ADD. X_delta^-1 ADD X_delta on both roles equals the original ADD, + # including arbitrary target dirt. Those target corrections are not free. + c=Q(consumers[0]['event'][1][3],consumers[0]['event'][1][4]);delta=deltas[0] + for address in range(512): + h={address:Q(3)};d={address^1:Q(5)} + got=translate(add(translate(d,delta),translate(h,delta),c),delta) + need(got==add(d,h,c),'joint source/target translation control') + # Reusing a pointer after CLEAR/COPY does not compose translations on the same value. + fresh={address^2:Q(1)};need(translate(translate(fresh,deltas[1]),deltas[0])!=fresh,'reload counterexample') + # Bind actual wrapper endpoint/next centre: scratch cleanup and a separately copied input. + source=consumers[0]['event'][1][2];consumer_i=consumers[0]['event_index'] + clear_i,clear=next((i,e)for i,e in enumerate(events[consumer_i+1:],consumer_i+1)if e[0]=='scalar'and e[1]==['clear',source]) + next_copy_i,next_copy=next((i,e)for i,e in enumerate(events[clear_i+1:],clear_i+1)if e[0]=='scalar'and e[1][0]=='copy'and e[1][1][0]=='C') + need(next_copy[1][1]!=source,'selected next wrapper uses distinct scratch role') + out={'status':'SCOPED_NEGATIVE_UNCHANGED_ZERO_FRAME_CONSUMERS','producer_status':'Five-plane native producer/owner route absent; this is a conditional consumer-boundary obstruction, not a replay of a nonexistent lift.','blocks':23,'deltas':deltas,'pending_prefix_translations':pending,'native_consumer_witnesses':consumers,'selected_wrapper_clear':[clear_i,clear],'selected_next_wrapper_copy':[next_copy_i,next_copy],'consumed_member_sha256':hashes,'basis_addresses':cases,'shared_scratch_final_translation':0,'first_consumer_mismatches':512,'positive_controls':['joint source-target translation with target restoration','shared scratch final endpoint restores'],'cost_ledger':{'local_copy_charge':118,'provisional_cleanup_units':23,'optimistic_extra_work_allowance':157,'with_local_cleanups_allowance':134,'native_shared_producer':'UNKNOWN','target_translation_routing_restoration':'UNKNOWN','hosting_precision_outer':'UNKNOWN','both_supplier_caps':'No changed complete supplier; no new kappa'},'remaining_domain':'Changed consumers/target frames or retained output compensation and complete physical owner schedule.'} + if a.write:a.write.write_text(json.dumps(out,indent=2,sort_keys=True)+'\n') + else:need(out==json.loads((P/'CONSUMER-RESULT.json').read_text()),'receipt differs') + print('PASS_SHARED_ADDRESS_CONSUMER_SCREEN blocks=23 final_scratch_shift=0 first_output_defects=512 actual_consumer_direction=target_from_scratch changed_consumer_route=OPEN') +if __name__=='__main__':main() From b22f6a0f613d67543bc101f8d33158c3be608322 Mon Sep 17 00:00:00 2001 From: zxv Date: Sun, 18 Oct 2026 07:03:45 -0400 Subject: [PATCH 2/8] Freeze source-bound five-plane consumer and dirty-output obstruction --- research/three-kappa-leads/CONSUMER.md | 54 ++++++++++++++++++++++++++ 1 file changed, 54 insertions(+) create mode 100644 research/three-kappa-leads/CONSUMER.md diff --git a/research/three-kappa-leads/CONSUMER.md b/research/three-kappa-leads/CONSUMER.md new file mode 100644 index 0000000000..7d1252125b --- /dev/null +++ b/research/three-kappa-leads/CONSUMER.md @@ -0,0 +1,54 @@ +# Lead 3: shared address does not commute through an unchanged native output ADD + +Scoped negative for retaining the selected ZERO-frame consumers and scratch wrappers. The broader five-plane shared-address implementation remains **INCONCLUSIVE**: the algebraic predecessor has no literal five-frame native producer or owner route to trace. We do not invent one and call it a native replay. + +## Source boundary + +Main `20ecf2891d80b5acf18d980b2164fb44ea7faa90` retains #3480 (`8e6fcaa557d2bff56c914f167e19929b0b656e1f`) and the five-plane predecessor. The 112 selected labels and 23 blocks are unchanged. SOURCES.json authenticates their source closure, selected replay archive and CANDIDATE. The selected canonical word and forward program are read directly from pinned compressed archive members; their decompressed hashes are in CONSUMER-RESULT.json. No archive bytes are modified. + +The five-plane candidate replaces a decoder at an algebraic level; there is no native five-frame block in the selected program. We therefore trace a **conditional interface splice**: if a proposed block feeds one existing ZERO-frame native scratch-to-target ADD, can its pending translation pass through that ADD unchanged? This is the first source-bound consumer test available before a new native producer exists. The receipt binds 23 actual native instructions, one distinct target from each block, with event indices and coefficients. It does not assert that these 23 instructions already constitute a five-plane construction. + +For block0 E=[0,25,33,71,89], the exact lift endpoint is X98. The bound native output consumer is `L112 <- L112 + (1/4) C0`, both at ZERO frame (forward-program event13062). Let C0=h and L112=d be arbitrary incoming arrays. Required map: `(h,d)->(h,d+h/4)`. Skipping the pending correction gives `(X98 h,d+X98 h/4)`. A future lift may restore the scratch, but it does not change the already-written target discrepancy `(X98-I)h/4`. + +The next five-plane block has delta70, so the same value on shared scratch would carry cumulative shift `98 xor70=36`. Its next unmodified consumer still sees the shifted value. The selected native wrapper instead CLEARs C0 after its scatter phase and subsequently COPYs a distinct source into C1. Reusing a physical iterator/address pointer across that CLEAR/COPY does not compose the two value-space translations. Exact CLEAR and next COPY instructions are retained in the receipt. The five-plane proposal must change that wrapper and prove its new dirty-state contract before using global cancellation. + +## Exact proof and controls + +For any nonzero scalar c and delta !=0, a shear `A(h,d)=(h,d+c h)` fails to commute with translating h alone: + +`A (X_delta ⊕ I) - (X_delta ⊕ I) A` has target block `c(X_delta-I)`. + +This is an all-input linear identity. For the first actual coefficient1/4, every one of the 512 address basis vectors gives a discrepancy. We include nonzero target dirt. Complex linearity covers imaginary as well as real inputs; no clean-workspace hypothesis is used at this consumer cut. + +The replay grants an optimistic same unchanged scratch value through ALL23 translations, applies one bound scalar consumer per block to independent target arrays, and checks that final scratch translation is zero. The first output remains wrong in all512 basis cases. Thus final scratch restoration alone is an insufficient acceptance check even in this more favorable sharing model. These23 hypothetical splices are a boundary counterexample, not a source/native construction. + +Positive control: translating BOTH source and target before an ADD and undoing target translation afterwards gives the correct dirty output. Its target frame changes/restoration must be implemented and priced. A fresh source reloaded into reused scratch is a separate negative control: translations on different values do not cancel merely because storage or an address pointer is reused. + +## Full obligation ledger + +| Obligation | Evidence | +|---|---| +| Selected label partition / endpoint deltas | Pinned predecessor; all23 delta xor=0, span rank9; predecessor exact local replay | +| Algebraic local copy invoice | Predecessor rank histogram {7:10,8:6}, total118 | +| Shared five-plane native producer | UNKNOWN: no literal source/owner schedule supplied by predecessor | +| Required reads / source lifetime | UNKNOWN for new producer; selected wrapper CLEAR/COPY prevents assuming persistent identical value | +| Existing native consumer direction and frame | Exact bound target<-scratch ADD at ZERO; commutator is nonzero | +| Dirty scratch/output boundary | Counterexample includes arbitrary target dirt; matched translation/restoration positive control | +| Consumer/frame repair and cleanup | UNKNOWN; cannot count restored scratch as restored outputs | +| Hosting, source routing, precision/tape | UNKNOWN; not zero | +| Cost allowance | Local optimistic extra-work157 units; provisional23 local cleanups leave134. Unit translation prices are planning conventions, not realized native charges | +| Both supplier caps / full κ release | No complete changed supplier. Neither cap improved. #3624 live candidate≈0.001730047552093344159584−10^-46−10^-70 is a comparison target, not independently fully replayed here | + +No cost rejection of all redesigned schedules follows. In particular, this does not prove every target must pay two separately charged rank-one units; coalesced target frames or jointly changed consumers are untested. It does establish that the23-unit local margin cannot be claimed merely from sharing an address and restoring final scratch while preserving these consumers. + +## Scope and decision + +Retaining the selected consumer and scratch wrapper fails an exact source-access/commutator condition before any23-block native implementation. A genuinely different producer/consumer schedule remains open. This is distinct from two-call centre-return sharing (we do not combine two existing centre invocations), and from #3625's lost-free plane-port bound56/price184 (that is a different decoder contract). + +Replay: `python3 -B research/three-kappa-leads/consumer_screen.py` (standard library). It authenticates inputs and compares the exact receipt. The predecessor command `python3 -B research/complex-global-delta-cancellation/verify.py` checks the23 local endpoint identities separately. Finite checks are not full native/physical admission. + +## Open next questions + +Give one literal five-frame producer, its exact sources/owned scratch and frames, then emit a compensated first consumer and the next block on the same **value state**, including arbitrary incoming workspace and all target restoration. The discriminating test is exact equality of the full multi-stream boundary map. Only if it passes should a full23-block owner and paid profile be attempted. Route/chart/hosting/precision costs must fit the same157-unit local allowance, and the bit-side/full outer bound must also pass. No such route or native invoice was constructed here. + +Credit Gonzalo Mier/#3480, Cinna Davis/five-plane predecessor, the selected owner/native source authors, and all preserved predecessor attribution. New checks/analysis by OpenAI Codex with substantial AI assistance. Astra review is scoped same-session AI review, not human or formal acceptance. From fcb90595d3db6f76817a221a82274c060fd8d163 Mon Sep 17 00:00:00 2001 From: zxv Date: Sun, 18 Oct 2026 07:05:11 -0400 Subject: [PATCH 3/8] Pin five-plane candidate explicitly after Astra source-binding objection --- research/three-kappa-leads/SOURCES.json | 6 + .../three-kappa-leads/chronology_screen.py | 4 +- .../reviews/lead2/RESULT.json | 384 ++++++++++++++++++ .../reviews/lead2/independent.py | 88 ++++ 4 files changed, 480 insertions(+), 2 deletions(-) create mode 100644 research/three-kappa-leads/reviews/lead2/RESULT.json create mode 100644 research/three-kappa-leads/reviews/lead2/independent.py diff --git a/research/three-kappa-leads/SOURCES.json b/research/three-kappa-leads/SOURCES.json index c74fe0a275..ad040b2afb 100644 --- a/research/three-kappa-leads/SOURCES.json +++ b/research/three-kappa-leads/SOURCES.json @@ -32,6 +32,12 @@ "sha256": "86a1432870b3b21d8454106ec9162fddc0471472d9214c590a1420f2426cedfc", "git_blob": "6c0f54527d879396f689523bfde19928a9b6157c" }, + { + "path": "research/five-plane-port-p112-seed1f7fdfe4/CANDIDATE.json", + "usage": "input", + "sha256": "5b69c7a873f19a64ed73a1c1281d20398d2675b3281fd4fa259aed9cf91a86c0", + "git_blob": "ca69901755dde5f6e8adf7dd6df936dc3ab0142d" + }, { "path": "research/five-plane-port-p112-seed1f7fdfe4/SOURCES.json", "usage": "input", diff --git a/research/three-kappa-leads/chronology_screen.py b/research/three-kappa-leads/chronology_screen.py index 3cd6b3478d..e64d33bb19 100644 --- a/research/three-kappa-leads/chronology_screen.py +++ b/research/three-kappa-leads/chronology_screen.py @@ -62,9 +62,9 @@ def solve(order,label): if reduced < -1e-7 and q not in pools[gi]:pools[gi].add(q);added+=1 local=sum(n*405*r**(1-k) for r,n in v.LOCAL.items());den=896*45*73**(1-k) print(label,it,'vars',len(cost),'obj',res.fun,'moment',(local+res.fun)/den,'added',added,'reduced',worst,flush=True) - if not added: + if not added or it == 0: result={'label':label,'status':'FLOAT_LP_EXPLORATORY_ONLY','order':order,'groups':G,'moment_at_comparator':(local+res.fun)/den,'idle_objective':res.fun,'worst_reduced_cost':worst,'x':[[gi,list(q),float(a)] for (gi,q),a in zip(xs,res.x[:nx]) if a>1e-7],'z':[[gi,t,W[i],float(a)] for (gi,t,i),a in zip(flows,res.x[nx:]) if a>1e-7]} Path('/tmp/three-kappa-'+label+'.json').write_text(json.dumps(result));return result raise RuntimeError('column generation round cap') order=d['order'];swap=order[:];swap[332],swap[333]=swap[333],swap[332] -for label,clock in [('join-swap',swap),('baseline',order)]:solve(clock,label) +for label,clock in [('join-swap',swap)]:solve(clock,label) diff --git a/research/three-kappa-leads/reviews/lead2/RESULT.json b/research/three-kappa-leads/reviews/lead2/RESULT.json new file mode 100644 index 0000000000..f806c52932 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead2/RESULT.json @@ -0,0 +1,384 @@ +{ + "arithmetic": "exact Gaussian integer pairs in predecessor 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Source helper additionally authenticates its retained closure and complete PR3148 fill digest.", + "reviewed_commit": "80a2ab05c58b6a7e2050567ce12aae67bcf334cd", + "scope": "owner0/port0 complete eight-stream data word; finite controls, not all-character proof", + "seed": 87, + "status": "PASS", + "unchanged_bridge_failures": 18 +} diff --git a/research/three-kappa-leads/reviews/lead2/independent.py b/research/three-kappa-leads/reviews/lead2/independent.py new file mode 100644 index 0000000000..66741b65ea --- /dev/null +++ b/research/three-kappa-leads/reviews/lead2/independent.py @@ -0,0 +1,88 @@ +#!/usr/bin/env python3 +"""Independent lead-2 full-word control; exact Gaussian integer tuples.""" +import argparse +import hashlib +import importlib.util +import json +from pathlib import Path +import random + +COMMIT = '80a2ab05c58b6a7e2050567ce12aae67bcf334cd' +parser = argparse.ArgumentParser() +parser.add_argument('root', type=Path) +args = parser.parse_args() +root = args.root.resolve() + +def load(path, name): + spec = importlib.util.spec_from_file_location(name, root / path) + module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(module) + return module + +# Authenticate the retained input closure before executing predecessor helpers. +manifest = json.loads((root / 'research/three-kappa-leads/SOURCES.json').read_text()) +dependencies = [] +for item in manifest['files']: + raw = (root / item['path']).read_bytes() + assert hashlib.sha256(raw).hexdigest() == item['sha256'], item['path'] + dependencies.append({'path': item['path'], 'sha256': item['sha256']}) + +source = load('research/rank7-idle-star-stream-obstruction/source.py', 'source') +physical = load('research/idle-star-paired-axis-census/verify.py', 'physical') +context = source.load_context() +axes = [list(map(int, child['orthogonal_axes'])) for child in context['recipe']['idle_children']] +used = {i: set() for i in range(20)} +hosts = {} +for time, helper, owner, child, port, offset in context['rows']: + stage, replica = context['order'][time] + provider = context['dispatch'][stage, replica % 74] + width = context['providers'][provider]['widths'][helper] + used[child].update(range(offset, offset + width)) + stream = 2 * context['plan']['pairs'][str(child)] + context['plan']['sides'][str(child)] + hosts.setdefault(time, []).append((stream, axes[child][offset:offset + width])) +context['hosts'] = hosts +residual = {i: [axis for j, axis in enumerate(basis) if j not in used[i]] + for i, basis in enumerate(axes)} +changed_residual = {i: list(basis) for i, basis in residual.items()} +delta = 0 +for axis in residual[12][:4]: + delta ^= axis +changed_residual[12][:4] = [delta ^ axis for axis in residual[12][:4]] +assert len(residual[12]) == 48 +assert residual[12][:4] == [1 << i for i in range(25, 29)] +blocks = physical.stage_blocks(context['template']) +original = physical.run_data_event +final_bridge = {'kind': 'bridge', 'src': 0, 'dst': 1, 'coefficient': 1} +assert sum(event == final_bridge for event in context['template']['execution_schedule']) == 1 + +def corrected_event(matrix, event, ctx, residual_axes, character): + if event == final_bridge: + physical.phase(matrix, 0, 2 * physical.parity(character, delta)) + original(matrix, event, ctx, residual_axes, character) + +rng = random.Random(87) +characters = [sum(1 << (25 + i) for i in range(4) if mask >> i & 1) for mask in range(16)] +characters += [rng.getrandbits(73) for _ in range(32)] +cases = [] +for character in characters: + physical.run_data_event = original + baseline = physical.replay(context, residual, character, blocks) + uncorrected = physical.replay(context, changed_residual, character, blocks) + physical.run_data_event = corrected_event + corrected = physical.replay(context, changed_residual, character, blocks) + assert corrected == baseline, character + cases.append({'character': character, 'corrected_matches': corrected == baseline, + 'unchanged_bridge_fails': uncorrected != baseline}) +physical.run_data_event = original +failures = sum(case['unchanged_bridge_fails'] for case in cases) +assert failures == 18 +print(json.dumps({ + 'status': 'PASS', 'reviewed_commit': COMMIT, + 'scope': 'owner0/port0 complete eight-stream data word; finite controls, not all-character proof', + 'arithmetic': 'exact Gaussian integer pairs in predecessor physical interpreter', + 'construction': 'child12 complement-of-one four-frame; X0 translation immediately before final bridge', + 'seed': 87, 'cases_checked': len(cases), 'unchanged_bridge_failures': failures, + 'dependency_note': 'Uses retained source.load_context and census physical interpreter, not bridge_screen.py. Source helper additionally authenticates its retained closure and complete PR3148 fill digest.', + 'authenticated_manifest': 'research/three-kappa-leads/SOURCES.json', + 'dependencies': dependencies, 'cases': cases, +}, indent=2, sort_keys=True)) From 6bcd6f547c3fe3b764fcddfce9333a61a20098e7 Mon Sep 17 00:00:00 2001 From: zxv Date: Sun, 18 Oct 2026 07:28:10 -0400 Subject: [PATCH 4/8] Construct exact T360 join-swap allocation and source-bound release machinery --- .../CHRONOLOGY-CANDIDATE.json | 28858 ++++++++++++++++ research/three-kappa-leads/CHRONOLOGY.md | 76 + .../three-kappa-leads/LITERAL-EXPECTED.json | 10 + research/three-kappa-leads/PR3624-SOURCE.json | 307 + .../three-kappa-leads/PR3624-SOURCE.tar.gz | Bin 0 -> 369095 bytes .../three-kappa-leads/PRICE-EXPECTED.json | 33 + research/three-kappa-leads/README.md | 41 + research/three-kappa-leads/SOURCES.json | 3544 +- research/three-kappa-leads/STATUS.json | 31 +- research/three-kappa-leads/TASK.json | 84 + research/three-kappa-leads/VERIFY.json | 637 + .../three-kappa-leads/aggregate_controls.py | 17 + research/three-kappa-leads/audit_entry.py | 7 + research/three-kappa-leads/check_inputs.py | 1 + .../three-kappa-leads/chronology_check.py | 43 + .../three-kappa-leads/chronology_screen.py | 3 +- .../comparators/PR3626-CLAIM.json | 27 + .../comparators/PR3626-CREDITS.md | 7 + .../comparators/PR3626-EXPECTED.json | 24 + .../comparators/SOURCES.json | 27 + research/three-kappa-leads/dependency.py | 22 + research/three-kappa-leads/evidence_check.py | 75 + .../three-kappa-leads/evidence_controls.py | 23 + research/three-kappa-leads/full_replay.py | 66 + .../three-kappa-leads/independent_literal.py | 134 + research/three-kappa-leads/literal_build.py | 126 + research/three-kappa-leads/price_check.py | 27 + .../three-kappa-leads/requirements-full.txt | 4 + .../reviews/REVIEW-DECISIONS.json | 24 + .../reviews/lead3/RESULT.json | 57 + .../reviews/lead3/check_pin.py | 19 + .../reviews/lead3/independent.py | 46 + research/three-kappa-leads/verify.py | 11 + 33 files changed, 34393 insertions(+), 18 deletions(-) create mode 100644 research/three-kappa-leads/CHRONOLOGY-CANDIDATE.json create mode 100644 research/three-kappa-leads/CHRONOLOGY.md create mode 100644 research/three-kappa-leads/LITERAL-EXPECTED.json create mode 100644 research/three-kappa-leads/PR3624-SOURCE.json create mode 100644 research/three-kappa-leads/PR3624-SOURCE.tar.gz create mode 100644 research/three-kappa-leads/PRICE-EXPECTED.json create mode 100644 research/three-kappa-leads/README.md create mode 100644 research/three-kappa-leads/TASK.json create mode 100644 research/three-kappa-leads/VERIFY.json create mode 100644 research/three-kappa-leads/aggregate_controls.py create mode 100644 research/three-kappa-leads/audit_entry.py create mode 100644 research/three-kappa-leads/chronology_check.py create mode 100644 research/three-kappa-leads/comparators/PR3626-CLAIM.json create mode 100644 research/three-kappa-leads/comparators/PR3626-CREDITS.md create mode 100644 research/three-kappa-leads/comparators/PR3626-EXPECTED.json create mode 100644 research/three-kappa-leads/comparators/SOURCES.json create mode 100644 research/three-kappa-leads/dependency.py create mode 100644 research/three-kappa-leads/evidence_check.py create mode 100644 research/three-kappa-leads/evidence_controls.py create mode 100644 research/three-kappa-leads/full_replay.py create mode 100644 research/three-kappa-leads/independent_literal.py create mode 100644 research/three-kappa-leads/literal_build.py create mode 100644 research/three-kappa-leads/price_check.py create mode 100644 research/three-kappa-leads/requirements-full.txt create mode 100644 research/three-kappa-leads/reviews/REVIEW-DECISIONS.json create mode 100644 research/three-kappa-leads/reviews/lead3/RESULT.json create mode 100644 research/three-kappa-leads/reviews/lead3/check_pin.py create mode 100644 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+} diff --git a/research/three-kappa-leads/CHRONOLOGY.md b/research/three-kappa-leads/CHRONOLOGY.md new file mode 100644 index 0000000000..2f2d54de3d --- /dev/null +++ b/research/three-kappa-leads/CHRONOLOGY.md @@ -0,0 +1,76 @@ +# Lead 1: one join swap and a T360 whole-helper allocation + +The finite construction preserves Ross Richardson's staged-width suppliers from #3605 and hexapode's T37/T8 source orders retained in #3624. In the concatenated45-replica clock, exchange adjacent calls `(stage8,replica36)` and `(stage0,replica37)`, at grouped times332/333. Per-replica progression is unchanged. Recompute source windows from the actual event template, then use eight copies of this45-replica clock. + +## Source-derived opportunity + +Exactly three aggregate source-window groups change. For capacities16/32/48 and lower endpoints317/284/232 respectively, the upper endpoint moves332→333; each group contains224 physical bins. The initial global lower boundary remains−1. No window is inferred just by shifting a claimed group. The new exact certificate uses this extra time: at grouped time333, the capacity16 group hosts416 width7 and192 width8 roles; the capacity32 group hosts208 width4,16 width5,144 width6 and584 width8 roles (counts across all eight copies). Thus reverting this certificate's clock without changing the allocation violates source windows. We make no claim that this swap is necessary for every allocation or that either clock is optimally packed. + +The source suppliers remain the arbitrary-dirty, both-orientation staged644/660 words of #3605. Their private buffers and full terminal frames remain. The exact ordinary helper inventory is `{4:26,5:2,6:18,7:52,8:97,9:213}`; per-call paid local profile is `{1:2439,2:726,3:224,4:102,5:20,8:8}`. No earlier width or T8 gains are added a second time. + +## Exact integer construction + +CHRONOLOGY-CANDIDATE.json contains complete integer pattern counts and source-window flows at S=8. `chronology_check.py` independently recomputes the45-replica groups from authenticated source geometry, checks per-width supply at every call, one role per physical group/bin per call, pattern capacity and total slot count≤S. It checks disjoint windows for children sharing a physical family. The floating LP was only discovery; its numerical optimality and reduced costs are not claimed or required for replay. All positive entries reconstruct with denominator4; S=8 accommodates the maximum five-slot bin. This is a feasible exact primal, not an optimum or minimal-copy theorem. + +`literal_build.py` applies the retained integral lower-bound network decomposition. With R copied calls remaining, assigning each remaining role fraction1/R meets all width quotas, per-bin unit capacity and future group degree bounds. Integral flow chooses the next copy. Sorting bins by their latest required copy at the upper endpoint chooses a physical owner copy that remains available. Eight copies are eight successive actual calls at each grouped time; multiple roles may share a grouped time if their actual calls differ. + +The literal reconstruction has3240 calls and1,321,920 individually assigned helpers. The retained scalar owner audit checks every role against actual windows, capacity, compact prefix masks and physical family uniqueness. Its historical `physical=live+490` field is not the new stock invoice; the actual private stock is509, verified separately below. The separate `independent_literal.py` imports neither the producer nor its source-window function. It reconstructs source windows directly from the event JSON and derives every helper's width from the freshly checked native canonical frame tables. Its full-family/compact-prefix/invoice check and five semantic controls pass on all roles. + +## Paid profile and exact comparison + +The completed profile is + +`{1:7986600,2:2352240,3:749250,4:330480,5:69930,8:25920,48:137790}`. + +Rank mass is exactly`65088*360=23431680`. For the retained width73 and live stock`896*360`, price + +`F(k)=sum_r n_r*(r/73)^(1-k)/(896*360)`. + +All occupied ranks are positive and below73, so F is strictly increasing; F(0)<1. Exact rational log/exp enclosures from the attributed retained price engine certify the crossing in + +`[0.001730096363528623534230,0.001730096363528623534231]`. + +The finite intended outer endpoint is the lower endpoint minus`10^-46+10^-70`; full release remains the separate admission gate. + +Normalized comparison against #3624 (T450) gives nonzero signed coefficients + +`450*new_profile −360*old_profile = −118800 H1−5940 H3−29700 H5+5940 H48`, + +where Hr=r^(1−k). Rank mass cancels. The exact upper bound on this difference is negative at the old root's upper endpoint. This yields about`4.88114352794e-8` more κ than #3624. + +The later live #3626 (T530, head659fd5e7064d9466b668d7188cbb013b333a415a) reports the stronger predecessor endpoint`0.001730071864705779882540−10^-46−10^-70`. Its exact EXPECTED/CLAIM/CREDITS bytes are retained under comparators/. `price_check.py` also certifies a strict normalized paid-cost decrease against that profile and a root improvement of at least`2.4498822843651689e-8`. These predecessor claims are author-checked conditional candidates, not newly selected results or independently replayed suppliers here. Challenged #3184/#3190/#3251 endpoints are not comparators. + +## Complete boundary and cost ledger + +| Obligation | Construction / evidence | +|---|---| +| Source word / native operations | Unchanged staged644/660 words; exact648-file source manifest318ede57… retained through PR3624 source builder | +| Source acquisition / chronology | Actual9-stage event windows recomputed; three upper endpoints extended as above | +| Logical helper inventory |408 roles per call, both ordered provider-width arrays authenticated | +| Whole-helper physical owners | Fresh1,321,920-row literal fill; strict/closed windows, capacity, family uniqueness and prefix masks checked | +| Dirty maps / both orientations | Fresh five-stage native base+extra chains; exact all-column warp/control proofs, arbitrary incoming logical helper maps; no relaxed restore210 endpoint | +| Private/physical stock |`896*360+408+8+91+2=323069`; all91 buffers retained | +| Local recursive work | Complete local profile above, included3240 times | +| Remaining idle children |`{1:84240,3:23490,5:5130,48:137790}`, fully charged | +| Physical norm / precision | Original stock checker; stock exponent1323 and conservative reserve`128+37+18+1323+1+4=1511<2048`; actual prefix must pass full release | +| Scalar/Horner work / restoration | Unchanged source driver; full arbitrary-column, helper-data-zero, centre-clear, buffer-zero obligations remain in admission | +| Both supplier caps / outer | New complex crossing is below the retained bit cap; exact outer ledger and final release must pass | +| Full conditional theorem | Inherited all-size/compiler, common-label/mutable-source, uniform cost, hosting, bootstrap-time, precision/recovery/tape, analytic and bit assumptions remain | + +## Reproduction and provenance + +Retained dependency: #3624 head515a7c4490aa32ac3ca5014feb6f7da0d6952863, complete package bytes in PR3624-SOURCE.tar.gz; its per-file SHA256/Git blob IDs and archive hash are in PR3624-SOURCE.json. The new source loader extracts only authenticated regular members into a fresh temporary directory. No unmerged Git object or network fetch is needed for its code/data at replay time. Main-tree inputs and T8 materialization closure are in SOURCES.json. All predecessor notices and credits remain in the retained archive. #3626 contributes comparison data only. + +Finite checks: `python3 -B research/three-kappa-leads/chronology_check.py`, `price_check.py`, and `aggregate_controls.py` in the same directory. Literal generation: `python3 -B research/three-kappa-leads/literal_build.py --out /fresh/owners --owner-check`. + +Complete cold command (Python3.12 with numpy1.26.4, scipy1.15.3, sympy1.14.0, mpmath1.3.0 installed in that interpreter's site-packages so isolated subprocesses can import them): + +`python -B research/three-kappa-leads/full_replay.py --work /fresh/release` + +The completed coverage, exact commands, original failed environment attempt and whether the complete cold CLI was itself run end-to-end are reported in VALIDATION.json, separately from stored receipts. Authenticated same-session fresh-native reuse is supported explicitly, with exact original materializer file checks and derived-driver pins; full admission authenticates source/cache/receipt bindings again. + +## Open next questions + +Do other bounded join changes or complete allocations improve this new profile? First recompute exact source windows and an optimistic full bill; require an integer primal before literal expansion. No optimality claim here justifies a census. The unrelated unresolved theorem-level premises remain independent research obligations and are not discharged by a new finite allocation. + +Credit Ross Richardson/#3605 and the retained integral-network/source lineage; hexapode/#3494 and #3624 for T8, combination and admission machinery; #3626 for the stronger live comparison; all original authors retained in their source notices. New join experiment, integer certificate, adapted checks and package by OpenAI Codex with substantial AI assistance. Independent Astra review is a separate scoped AI check, not human or formal acceptance. diff --git a/research/three-kappa-leads/LITERAL-EXPECTED.json b/research/three-kappa-leads/LITERAL-EXPECTED.json new file mode 100644 index 0000000000..c69d95f09f --- /dev/null +++ b/research/three-kappa-leads/LITERAL-EXPECTED.json @@ -0,0 +1,10 @@ +{ + "payload_sha256": "9c7288f6b65ea8b4509b658c7df881963410c144e112b6c8accf03283ddf2828", + "rows": 1321920, + "literal_files": { + "ORDER.json": "e14d3c8b183f82ea1f8b1cbdf70d2fb07e450340ebb51815756b1248aa0609d6", + "DISPATCH.json": "8064e69e9be904bd81219fdde3b895adbad8d5c43c3a97de46a3aebbdb4424da", + "PROFILE.json": "c31b921f5767c5f1f7d9d75f50c55eab1dc6f8e3143453058b0b13b115582ec4", + "PROVIDERS.json": "d96f2798024ab83edbb8848b62c425992aec182f1f24ef46bb8286dd390618c2" + } +} diff --git a/research/three-kappa-leads/PR3624-SOURCE.json b/research/three-kappa-leads/PR3624-SOURCE.json new file mode 100644 index 0000000000..c90bde2ece --- /dev/null +++ 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b/research/three-kappa-leads/PRICE-EXPECTED.json @@ -0,0 +1,33 @@ +{ + "root_interval": [ + "0.00173009636352862353423", + "0.001730096363528623534231" + ], + "endpoint_expression": "0.00173009636352862353423 - 10^-46 - 10^-70", + "replicas": 360, + "profile": { + "1": 7986600, + "2": 2352240, + "3": 749250, + "4": 330480, + "5": 69930, + "8": 25920, + "48": 137790 + }, + "comparator_pr": 3624, + "comparator_head": "515a7c4490aa32ac3ca5014feb6f7da0d6952863", + "comparator_replicas": 450, + "comparator_profile": { + "1": 9983580, + "2": 2940300, + "3": 936579, + "4": 413100, + "5": 87495, + "8": 32400, + "48": 172221 + }, + "comparator_root_interval": [ + "0.001730047552093344159584", + "0.001730047552093344159585" + ] +} diff --git a/research/three-kappa-leads/README.md b/research/three-kappa-leads/README.md new file mode 100644 index 0000000000..db2c8497f8 --- /dev/null +++ b/research/three-kappa-leads/README.md @@ -0,0 +1,41 @@ +# Three assigned κ leads: T360 candidate and two scoped obstructions + +Local-only research package on `codex/three-kappa-leads`; no selected-frontier change or public submission. The constructive lead has an exact T360 profile crossing at `0.001730096363528623534230…`. Full admission and final Astra review are tracked in STATUS.json and VALIDATION.json; the profile alone is not supplier admission. + +| Assigned lead | Bounded result | Broader scope | +|---|---|---| +| New staged-width inventory × chronology × whole helpers | One adjacent T37/T8 join swap; exact S8/T360 allocation, 1,321,920 literal roles, physical323,069. See [CHRONOLOGY.md](CHRONOLOGY.md). | No optimality or exhaustive chronology search claimed. Full release/review status is explicit. | +| Residual dictionary and one changed bridge | Astra YES/SCOPED_NEGATIVE for one address-independent bridge. Zero character forces the original bridge; concrete O4 rotation requires a character-dependent bridge and saves no rank. See [BRIDGE.md](BRIDGE.md). | Address-dependent changed-bridge construction remains INCONCLUSIVE. | +| Five-plane shared-address cancellation | Astra YES/SCOPED_NEGATIVE for unchanged ZERO-frame native consumers/wrappers. Native scratch→target ADD exposes translation debt even if final scratch restores. See [CONSUMER.md](CONSUMER.md). | A redesigned literal producer/consumer/owner schedule remains INCONCLUSIVE. | + +The new conditional endpoint, if admitted by the full release, is `0.001730096363528623534230−10^-46−10^-70`. It exceeds the stronger live predecessor #3626's reported `0.001730071864705779882540−10^-46−10^-70` by about`2.44988228437e-8`; exact rational normalized comparisons against both #3626 and #3624 are supplied. The selected conditional record remains`0.001672660197076918`. Challenged larger per-axis claims are not used as baselines. + +## Reproduce + +Bounded finite/source/receipt checks (standard-library Python3.12; no optimizer or full native/physical replay): + +`python3 -B research/three-kappa-leads/verify.py` + +Deterministic literal owners: + +`python3 -B research/three-kappa-leads/literal_build.py --out /fresh/owners --owner-check` + +Complete fresh replay, using Python3.12 with [requirements-full.txt](requirements-full.txt) installed in its site-packages: + +`python -B research/three-kappa-leads/full_replay.py --work /fresh/release` + +The full command is intentionally separate from the bounded manifest. Do not run multiple artifact-regenerating replays concurrently. Explicit prepared-source/native/allocation reuse options preserve source pins and replay scope. VALIDATION.json distinguishes the executed commands from unrun portable forms, stored evidence from fresh execution, and retained parent proofs from the two freshly rerun changed suppliers. + +The exact predecessor package is retained in PR3624-SOURCE.tar.gz, with source hashes/blob IDs and original notices; no unmerged remote Git object is needed for replay. SOURCES.json declares main-tree scientific inputs. The original source archives and selected record are unchanged. + +## Review and limitations + +Every lead requires its own fresh GPT-6 Astra medium review of a frozen exact commit. Review decisions, raw independent checks and critical repairs are under reviews/. Lead3's initial missing candidate pin was repaired before renewed approval. These are scoped same-session AI reviews, not human acceptance or formal verification. + +All inherited all-size/compiler, uniform cost, common-label/mutable-source, whole-call hosting, bootstrap-time, precision/tape/recovery, analytic and bit-interface premises remain. Finite certificates do not establish an unconditional multiplication theorem. The two negative results close only the hypotheses stated above, not their broad mechanisms. + +## Open next questions + +[CHRONOLOGY.md](CHRONOLOGY.md), [BRIDGE.md](BRIDGE.md) and [CONSUMER.md](CONSUMER.md) give each decision's exact next test, blockers and complete obligation ledger. Structured questions are in TASK.json. Unknown native/hosting/restoration costs in the exploratory leads are never treated as zero. + +Credit Ross Richardson/#3605; hexapode/#3494/#3624/#3626; the archived T740/five-plane investigators; and all authors retained in the immutable source notices. New analysis and code use Apache-2.0 and disclose substantial OpenAI Codex assistance. diff --git a/research/three-kappa-leads/SOURCES.json b/research/three-kappa-leads/SOURCES.json index ad040b2afb..c4069353ea 100644 --- a/research/three-kappa-leads/SOURCES.json +++ b/research/three-kappa-leads/SOURCES.json @@ -2,6 +2,12 @@ "base_main": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", "priority_revision": 6, "files": [ + { + "path": "LICENSE", + "usage": "input", + "sha256": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "git_blob": "261eeb9e9f8b2b4b0d119366dda99c6fd7d35c64" + }, { "path": "certificates/selected-result.json", "usage": "input", @@ -21,34 +27,3070 @@ "git_blob": "d9a4f84211182ca200c081ea061d724c8a2cfb70" }, { - "path": "research/community-frontier1094-audit/selected-replay.tar.gz", + "path": "research/adaptive-kernel-demotion/inputs/PR589-EXPECTED.json", + "usage": "input", + "sha256": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4", 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"schema_version": 1, + "base_commit": "20ecf2891d80b5acf18d980b2164fb44ea7faa90" } diff --git a/research/three-kappa-leads/STATUS.json b/research/three-kappa-leads/STATUS.json index e9c312cbaf..b134fb4401 100644 --- a/research/three-kappa-leads/STATUS.json +++ b/research/three-kappa-leads/STATUS.json @@ -1 +1,30 @@ -{"base_main":"20ecf2891d80b5acf18d980b2164fb44ea7faa90","priority_revision":6,"scope":"Three explicitly assigned leads; no selected-frontier edit or public submission authorized","lead1":{"status":"active","test":"one adjacent T37/T8 join swap; source-derived windows and optimistic fractional whole-helper allocation"},"lead2":{"status":"pending","test":"four-axis orthogonal-frame move and one intervening bridge"},"lead3":{"status":"pending","test":"one five-frame lift, actual consumer, next block physical address contract"},"review_requirement":"Fresh GPT-6 Astra medium subagent immediately before each conclusion"} +{ + "base_main": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", + "priority_revision": 6, + "scope": "Three explicitly assigned leads; no selected-frontier edit or public submission authorized", + "lead1": { + "status": "exact aggregate found; literal and full release pending", + "test": "one adjacent T37/T8 join swap; source-derived windows and optimistic fractional whole-helper allocation", + "replicas": 360 + }, + "lead2": { + "status": "concluded", + "test": "four-axis orthogonal-frame move and one intervening bridge", + "outcome": "SCOPED_NEGATIVE", + "scope": "one address-independent bridge; general address-dependent route INCONCLUSIVE", + "reviewed_commit": "80a2ab05c58b6a7e2050567ce12aae67bcf334cd", + "reviewer": "GPT-6 Astra medium", + "conclude": "YES" + }, + "lead3": { + "status": "concluded", + "test": "one five-frame lift, actual consumer, next block physical address contract", + "outcome": "SCOPED_NEGATIVE", + "scope": "unchanged ZERO-frame native consumers/wrappers; redesigned route INCONCLUSIVE", + "reviewed_commit": "fcb90595d3db6f76817a221a82274c060fd8d163", + "reviewer": "GPT-6 Astra medium", + "conclude": "YES", + "repair": "Explicit candidate hash pin after initial CONTINUE objection" + }, + "review_requirement": "Fresh GPT-6 Astra medium subagent immediately before each conclusion" +} diff --git a/research/three-kappa-leads/TASK.json b/research/three-kappa-leads/TASK.json new file mode 100644 index 0000000000..b8e13db992 --- /dev/null +++ b/research/three-kappa-leads/TASK.json @@ -0,0 +1,84 @@ +{ + "schema_version": 1, + "task_id": "independent-moment", + "priority_revision": 6, + "base_commit": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", + "original_card": { + "id": "independent-moment", + "question": "Does one changed supplier or assembly claim lack a source-bound independent check of a specific new implication?", + "starting_points": [ + "certificates/selected-result.json", + "research/rank7-joint-endframes/README.md", + "docs/research/research-family-status.md" + ], + "methods": [ + "Independently reconstruct a coordinated frame/circuit change and its single-change control, then derive the complete rank and physical ledger.", + "Implement certified moment inequalities through a different exact enclosure method." + ], + "acceptance_gate": "Demonstrate independence, source binding, positive cases and semantic failure controls. Name the existing checks and the missing coverage. More digits or another equivalent evaluation of an unchanged root is not by itself new verification coverage.", + "first_step": { + "command": [ + "python3", + "-B", + "scripts/research_baseline.py" + ], + "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY", + "inspect": "Read #2979 joint rank-7 end-frame proposal and the revision-6 evidence status. Its claimed kappa is not selected. Compare coordinated changes with the losing single-change controls and locate the complete physical ledger; an aggregate moment alone does not validate the mechanism.", + "scope": "Positive control / source-bound orientation only; this is not a new construction or full cold replay." + }, + "first_experiment": "Prioritize a bounded independent audit of #2979: reconstruct one joint group and its single-lowering control, check the declared frames/chronology, then trace changed children, idle widths and cleanup buffers into the complete invoice and both supplier caps. Choose one still-missing implication after checking existing audits. Stop with exact unresolved dependencies if full admission exceeds the session; do not launch a new lowering census on an unvalidated premise or substitute extra root digits for mechanism checking.", + "bottleneck_link": "Independent pricing prevents unsupported frontier claims and can reveal genuine accounting slack.", + "allowed_variations": [ + "Reconstruct either a source ledger or a numeric enclosure with a different method." + ], + "scope_change_triggers": [ + "Importing the primary function and calling its output independent verification.", + "Promoting #2979 from merged source archive to validated supplier solely from author PASS receipts or aggregate pricing." + ], + "overlap_terms": [ + "independent moment", + "rank histogram", + "exact enclosure", + "2979", + "rank7 joint endframes", + "paired extraction", + "joint lowering" + ] + }, + "scope_status": "changed", + "actual_scope": "Three explicitly assigned kappa leads: staged inventory x chronology x whole helpers; residual dictionary x one bridge; five-plane shared-address consumption.", + "scope_change_reason": "Explicit human assignment takes precedence over the task picker; this package retains all three bounded outcomes with mandatory fresh Astra medium review.", + "bottleneck_link": "A gain must change the complete paid recursive profile and pass both supplier caps, physical stock, precision and outer release.", + "budget_minutes": 60, + "stop_rule": "Use exact structural/complete-cost screens early; do not equate a narrow failure with broad exhaustion. Positive aggregate allocation requires full literal and admission evidence before kappa claim.", + "outcome": "in_progress", + "evidence": "See STATUS.json, exact receipts, CHRONOLOGY.md, BRIDGE.md and CONSUMER.md.", + "author": "OpenAI Codex, with substantial AI assistance", + "ai_assistance": "GPT-6.1 Sol investigation; separate fresh GPT-6 Astra medium scoped reviews of each lead; not independent human or formal acceptance.", + "open_questions": [ + { + "question": "Can a different source-derived join change or allocation beat the T360 profile?", + "why_it_matters": "Current finite allocation is feasible but not claimed optimal.", + "first_step": "Recompute one bounded change and its complete optimistic cost, then require an exact integer certificate.", + "blocked_by": "No checked stronger candidate yet." + }, + { + "question": "Can a genuinely address-dependent native bridge reduce the complete residual profile?", + "why_it_matters": "Constant one-bridge replacements are forced unchanged; the broader changed-interaction opportunity remains.", + "first_step": "Specify a changed-rank operator and native bridge word with full source/frame/dirty-state invoice.", + "blocked_by": "No affordable native realization or changed-rank construction." + }, + { + "question": "Can five-plane lifts share a value through compensated native consumers?", + "why_it_matters": "Unchanged native consumers expose translation debt before global scratch cancellation.", + "first_step": "Emit one literal five-frame producer, corrected first consumer and next block, checking all-stream arbitrary-dirty endpoints.", + "blocked_by": "Missing native producer, physical owner/lifetime schedule and complete cost." + } + ], + "upstream_refresh": { + "canonical_main": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", + "priority_revision": 6, + "checked_utc": "2026-10-18T11:15:53Z", + "overlap_refresh": "find_overlap --task independent-moment attempted; gh unavailable so remote coverage null. Public GitHub REST live open100 updated PRs plus relevant heads/comments and Discussion web pages checked separately. PR3626 now strongest checked unchallenged reported candidate; not a complete novelty survey." + } +} diff --git a/research/three-kappa-leads/VERIFY.json b/research/three-kappa-leads/VERIFY.json new file mode 100644 index 0000000000..56ac9786bc --- /dev/null +++ b/research/three-kappa-leads/VERIFY.json @@ -0,0 +1,637 @@ +{ + "schema_version": 1, + "status": "draft", + "python": "3.12", + "requirements": [], + "inputs": [ + "LICENSE", + "certificates/selected-result.json", + "docs/research/agent-task-catalog.json", + "research/adaptive-kernel-demotion/inputs/DATA-PHASES.json", + "research/adaptive-kernel-demotion/inputs/PR589-EXPECTED.json", + "research/adaptive-kernel-demotion/local/vendor/clifford/clifford_exact.py", + "research/anticipatory-dirty-borrowing/NOTICE.md", + "research/anticipatory-dirty-borrowing/operators.py", + "research/anticipatory-dirty-borrowing/replay.py", + "research/aphase-residue-composition/.gitattributes", + 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"research/t8-rank7-two-swaps/source-inputs/research/rank7-joint-endframes/allocation/vendor/TEMPLATE.json.gz", + "research/t8-rank7-two-swaps/source-inputs/research/rank7-joint-endframes/allocation/vendor/independent_owners.py", + "research/t8-rank7-two-swaps/source-inputs/research/rank7-joint-endframes/vendor/preload_move.py", + "research/t8-rank7-two-swaps/source-inputs/research/t16-owner-audit-seed67/verify.py", + "research/t8-rank7-two-swaps/test_materialize.py", + "research/t8-rank7-two-swaps/test_reconstruct.py", + "research/t8-rank7-two-swaps/verify.py", + "research/two-sided-helper-extraction/extract.py", + "research/two-sided-helper-extraction/verify.py" + ], + "commands": [ + { + "argv": [ + "{python}", + "-B", + "{package}/verify.py" + ], + "timeout_seconds": 600, + "checks": "Exact source-derived T360 integer primal and five controls, rational root and normalized PR3624/3626 comparisons, four-axis/one-bridge and dirty native-consumer boundary checks, authenticated stored complete release receipts and semantic rejection controls. No literal expansion or fresh full native/physical/outer replay." + } + ] +} diff --git a/research/three-kappa-leads/aggregate_controls.py b/research/three-kappa-leads/aggregate_controls.py new file mode 100644 index 0000000000..83379c92fe --- /dev/null +++ b/research/three-kappa-leads/aggregate_controls.py @@ -0,0 +1,17 @@ +"""Challenge exact source windows, whole-helper inventories and invoice.""" +import copy,json +from chronology_check import check,common,P +c=common.read(P/'CHRONOLOGY-CANDIDATE.json');check(c);controls=[] +def reject(name,mutate,reason): + d=copy.deepcopy(c);mutate(d) + try:check(d) + except ValueError as e: + if reason not in str(e):raise + controls.append(name) + else:raise ValueError('accepted '+name) +reject('wrong interface order',lambda d:d['order'].reverse(),'one actual adjacent join swap') +reject('source lower endpoint read',lambda d:d['z'][0].__setitem__(1,d['groups'][d['z'][0][0]][1]),'actual source window') +reject('one omitted helper flow',lambda d:d['z'][0].__setitem__(3,d['z'][0][3]-1),'exact width balance') +reject('over-capacity whole-helper pattern',lambda d:d['x'][0][1].__setitem__(0,100),'whole-helper pattern capacity') +reject('unpaid output histogram unit',lambda d:d['profile'].__setitem__('1',d['profile']['1']-1),'reconstructed complete paid profile') +print(json.dumps({'status':'PASS_AGGREGATE_CONTROLS','controls':controls})) diff --git a/research/three-kappa-leads/audit_entry.py b/research/three-kappa-leads/audit_entry.py new file mode 100644 index 0000000000..0b40d1b3a6 --- /dev/null +++ b/research/three-kappa-leads/audit_entry.py @@ -0,0 +1,7 @@ +"""Explicit isolated native-frame owner audit entry.""" +from pathlib import Path +import os,subprocess,sys +P=Path(__file__).resolve().parent +if len(sys.argv)!=4:raise SystemExit('allocation native-cache output required') +env=dict(os.environ,OWNER_SOURCE_REPO=str(P.parents[1]),OWNER_LITERAL_DIR=sys.argv[1],OWNER_NATIVE_DIR=sys.argv[2],OWNER_AUDIT_OUTPUT=sys.argv[3],OPENBLAS_NUM_THREADS='1',OMP_NUM_THREADS='1') +subprocess.run([sys.executable,'-B',str(P/'independent_literal.py')],env=env,check=True) diff --git a/research/three-kappa-leads/check_inputs.py b/research/three-kappa-leads/check_inputs.py index b995e04718..0a29cc24e7 100644 --- a/research/three-kappa-leads/check_inputs.py +++ b/research/three-kappa-leads/check_inputs.py @@ -4,6 +4,7 @@ ROOT=Path(__file__).resolve().parents[2] def authenticate(): for row in json.loads((Path(__file__).parent/'SOURCES.json').read_text())['files']: + if row['usage']!='input':continue p=ROOT/row['path'] if p.is_symlink()or not p.is_file()or hashlib.sha256(p.read_bytes()).hexdigest()!=row['sha256']: raise ValueError('changed scientific source: '+row['path']) diff --git a/research/three-kappa-leads/chronology_check.py b/research/three-kappa-leads/chronology_check.py new file mode 100644 index 0000000000..fad85ca0ef --- /dev/null +++ b/research/three-kappa-leads/chronology_check.py @@ -0,0 +1,43 @@ +"""Exact integer primal and source-window verifier for one T37/T8 join swap.""" +from pathlib import Path +from collections import Counter,defaultdict +import json,os +from check_inputs import authenticate +from dependency import source,load +P=Path(__file__).resolve().parent;ROOT=P.parents[1] +authenticate();os.environ['OWNER_SOURCE_REPO']=str(ROOT) +DEP=source();v=load('bound_source_context',DEP/'owners/source_context.py') +W=v.W;INV=v.INV;LOCAL=v.LOCAL;common=v.common + +def need(x,m): + if not x:raise ValueError(m) +def check(d): + original=common.read(DEP/'owners/ORDER37.json')+[[s,r+37]for s,r in common.read(DEP/'owners/T8-ORDER.json')] + need(original[332]==[8,36]and original[333]==[0,37],'actual interface') + order=original[:];order[332],order[333]=order[333],order[332] + need(d['order']==order,'one actual adjacent join swap') + c=common.context();win=c.owner.windows(c.template,order,45);g=Counter();fw=defaultdict(list) + for(o,ch),(cap,lo,hi)in win.items():g[cap,lo,hi]+=112;fw[o,c.families[ch]].append((lo,hi)) + need(all(all(max(lo,l)>=min(hi,h)for l,h in rows[j+1:])for rows in fw.values()for j,(lo,hi)in enumerate(rows)),'source family disjoint windows') + G=[[*k,n]for k,n in sorted(g.items())];need(G==d['groups'],'source-derived groups') + S=d['S'];need(type(S)is int and S>0,'positive copy count');need(d['widths']==list(W),'width classes') + providers=common.read(DEP/'owners/PROVIDERS.json') + for pid,p in providers.items(): + need(Counter(p['widths'])==INV,'actual source widths');need({int(k):n for k,n in p['actual_paid_profile'].items()}==LOCAL,'actual source local profile') + xb=Counter();xw=Counter();idle=Counter();seen=set() + for gi,q,n in d['x']: + need(type(gi)is int and 0<=gi=0 for z in q)and type(n)is int and n>0,'integer pattern') + need((gi,tuple(q))not in seen,'duplicate pattern');seen.add((gi,tuple(q)));used=sum(w*z for w,z in zip(W,q)) + need(used<=G[gi][0]and sum(q)<=S,'whole-helper pattern capacity');xb[gi]+=n + for w,z in zip(W,q):xw[gi,w]+=z*n + if used0,'integer flow') + need((gi,t,w)not in seen,'duplicate flow');seen.add((gi,t,w));need(G[gi][1]FRONTIER,'exact endpoint and latest frontier') + need(r['profile']==PROFILE and r['replicas']==360 and r['actual_expected_helpers']==408,'release actual profile') + need(r['source_manifest_sha256']==n['manifest_sha256']==SOURCE and r['source_file_count']==648,'frozen source') + need(r['source_upstream_head']=='ac92a027c78b0c9bb0ada739b26959afda489d0e','actual supplier head') + need(s['manifest_sha256']==r['package_manifest_sha256'],'release package manifest') + need(r['order_sha256']=='e14d3c8b183f82ea1f8b1cbdf70d2fb07e450340ebb51815756b1248aa0609d6' and r['dispatch_sha256']=='8064e69e9be904bd81219fdde3b895adbad8d5c43c3a97de46a3aebbdb4424da','literal source clock/dispatch') + for suffix,key in [('ORDER.json','order_sha256'),('DISPATCH.json','dispatch_sha256')]: + hs=[h for path,h in o['input_sha256'].items() if path.endswith('/'+suffix)] + need(hs==[r[key]],'independent owner binding '+suffix) + need('6e6b8683cc87a84e5410c399b1128eb68694f852a3927cb124067f503ed7d7c7' in r['external_input_sha256'].values(),'original stock checker') + need(i['status']=='PASS_INDEPENDENT_MIXED_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE','finite invoice status') + + need(n['status']=='PASS_COMPOSED_FRESH_NATIVE_PROVIDERS_AND_AUTHENTICATED_CACHE' and {t:n['providers'][t]['word_sha256'] for t in WORDS}==WORDS,'both source-bound native providers') + need([t['name'] for t in r['stages']]==['owners','parent-lift','rebind','discovery','outer-check_ledger.py','outer-independent_check.py','release'] and all(t['exit_code']==0 for t in r['stages']),'complete release stages') + need(i['physical']==323069==896*360+408+8+91+2 and i['live']==896*360,'physical all stock') + need(i['helpers']==408 and i['centres']==8 and i['private_zero_buffers']==91,'private stock') + need(i['provider_counts']=={'gauge44':1568,'extra':1672},'provider dispatch') + need(i['selected_local_paid_profile']=={k:v*3240 for k,v in {'1':2439,'2':726,'3':224,'4':102,'5':20,'8':8}.items()},'all paid local calls') + strict_check(i) + b=i['blocknorm'];need(b['replicas']==360 and b['physical_families']==323069,'block stock') + need(b['local_actual_prefix_bits']==95 and b['stock_l2_bits']==1323 and b['actual_prefix_bits']==1478 and b['required_reserve_bits']==1511 and b['retained_payload_bits']==2048,'prefix precision') + need(i['global_prefix_bits']==1478 and i['charged_prefix_bits']==2048,'charged precision') + for pid in ('gauge44','extra'): + for direction in ('forward','backward'): + z=b['endpoint_replay'][pid][direction];need(z['all_arbitrary_columns']==632 and z['helper_to_data_response_zero'] and z['centres_first_clear_and_terminal_zero']==8 and z['zero_buffers_allocated_and_cleared']==91,'arbitrary-dirty endpoint/cleanup') +def check(directory): + need(PINS_SHA is not None and sha(directory/'EVIDENCE-PINS.json')==PINS_SHA,'terminal evidence not yet frozen or changed') + pins=read(directory/'EVIDENCE-PINS.json') + need(pins['scope']=='Authenticated stored completed execution; not a fresh replay','stored scope') + need({'RESULT.json','RELEASE-RECEIPT.json','NATIVE-RECEIPT.json','PREFIX-AND-INVOICE.json','INDEPENDENT-OWNERS.json','FILL-BINDING.json','NATIVE-RESULT-base.json','NATIVE-RESULT-extra.json'}<=set(pins['files']),'complete receipt inventory') + for name,h in pins['files'].items(): + p=directory/name;need(Path(name).name==name and p.is_file() and not p.is_symlink() and sha(p)==h,'receipt bytes '+name) + r=read(directory/'RESULT.json');s=read(directory/'RELEASE-RECEIPT.json');n=read(directory/'NATIVE-RECEIPT.json');i=read(directory/'PREFIX-AND-INVOICE.json');o=read(directory/'INDEPENDENT-OWNERS.json') + need(r['release_receipt_sha256']==sha(directory/'RELEASE-RECEIPT.json') and r['native_receipt_sha256']==sha(directory/'NATIVE-RECEIPT.json'),'receipt chain') + semantic_check(r,s,n,i,o) + binding=read(directory/'FILL-BINDING.json') + need(r['fill_sha256']==binding['admission_sha256'] and [h for p,h in o['input_sha256'].items()if p.endswith('/FILL.json.gz')]==[binding['literal_sha256']],'literal/admission container bindings') + need(binding['literal_payload_sha256']=='9c7288f6b65ea8b4509b658c7df881963410c144e112b6c8accf03283ddf2828' and binding['semantic_equality'] is True and binding['rows']==1321920,'semantic fill conversion') + need(n['fresh_current_provider_count']==2 and n['reused_retained_parent'] is True,'fresh changed native and explicit retained parent scope') + for tag in WORDS: + native=read(directory/('NATIVE-RESULT-'+tag+'.json')) + need(native['status']=='PASS_COMPLETE_T74_NATIVE_REPLAY' and native['word_sha256']==WORDS[tag],'fresh native result '+tag) + need([z['step']for z in native['steps']]==['native','ledgers','local-replay','wrappers','phases']and all(z['exit_code']==0 for z in native['steps']),'all five native stages '+tag) + + return 'PASS_STORED_T360_COMPLETE_RELEASE_NOT_FRESH_REPLAY' +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('--evidence',type=Path,default=Path(__file__).with_name('evidence'));print(check(p.parse_args().evidence)) diff --git a/research/three-kappa-leads/evidence_controls.py b/research/three-kappa-leads/evidence_controls.py new file mode 100644 index 0000000000..13d755efd5 --- /dev/null +++ b/research/three-kappa-leads/evidence_controls.py @@ -0,0 +1,23 @@ +"""Reject material false release claims using full semantic receipt checks.""" +import copy,json +from pathlib import Path +import evidence_check as e +P=Path(__file__).resolve().parent/'evidence' +original=[e.read(P/name)for name in ['RESULT.json','RELEASE-RECEIPT.json','NATIVE-RECEIPT.json','PREFIX-AND-INVOICE.json','INDEPENDENT-OWNERS.json']] +e.semantic_check(*original);controls=[] +def reject(name,change): + records=copy.deepcopy(original);change(records) + try:e.semantic_check(*records) + except ValueError:controls.append(name) + else:raise ValueError('accepted '+name) +reject('release stage omitted',lambda d:d[0]['stages'].pop()) +reject('nonzero stage exit',lambda d:d[0]['stages'][0].__setitem__('exit_code',1)) +reject('wrong kappa endpoint',lambda d:d[0].__setitem__('kappa','1/1000')) +reject('one unpaid child',lambda d:d[0]['profile'].__setitem__('1',d[0]['profile']['1']-1)) +reject('native word source substituted',lambda d:d[2]['providers']['base'].__setitem__('word_sha256','0'*64)) +reject('private buffers omitted',lambda d:d[3].__setitem__('physical',d[3]['physical']-91)) +reject('strict invoice check omitted',lambda d:d[3]['strict_checks'].pop('router')) +reject('precision undercharged',lambda d:d[3].__setitem__('charged_prefix_bits',1477)) +reject('dirty endpoint column omitted',lambda d:d[3]['blocknorm']['endpoint_replay']['gauge44']['backward'].__setitem__('all_arbitrary_columns',631)) +reject('one literal role omitted',lambda d:d[4].__setitem__('roles',d[4]['roles']-1)) +print(json.dumps({'status':'PASS_STORED_EVIDENCE_SEMANTIC_CONTROLS','controls':controls})) diff --git a/research/three-kappa-leads/full_replay.py b/research/three-kappa-leads/full_replay.py new file mode 100644 index 0000000000..3305f5f2c6 --- /dev/null +++ b/research/three-kappa-leads/full_replay.py @@ -0,0 +1,66 @@ +#!/usr/bin/env python3 +"""Full T360 replay with explicit, authenticated optional fresh-native reuse. + +Adapted from PR3624 replay.py; exact upstream retained in PR3624-SOURCE.tar.gz. +Sources and native words are unchanged; only order/allocation/profile differ. +""" +from pathlib import Path +from fractions import Fraction as Q +import argparse,gzip,hashlib,json,os,subprocess,sys +from check_inputs import authenticate +from dependency import source +P=Path(__file__).resolve().parent;ROOT=P.parents[1] +def need(x,m): + if not x:raise ValueError(m) +def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest() +def read(p):return json.loads(gzip.decompress(p.read_bytes())if p.suffix=='.gz'else p.read_bytes()) +def fill_binding(literal,admission): + left,right=read(literal),read(admission) + need(left==right,'complete literal/admission semantic equality') + return {'literal_sha256':sha(literal),'admission_sha256':sha(admission),'literal_payload_sha256':hashlib.sha256(gzip.decompress(literal.read_bytes())).hexdigest(),'semantic_equality':True,'rows':len(left['rows'])} +def prepared_check(prepared): + old=prepared/'predecessor';new=prepared/'changed' + # Explicit prepared-source reuse must preserve every original materializer input. + for name,row in read(ROOT/'research/t8-rank7-two-swaps/MATERIALIZE.json')['entries'].items(): + need(sha(old/name)==row['sha256'],'retained materializer file '+name) + for name,digest in {'prepare_extension_native.py':'a2900b3a296f1273f75c6883bc4fe89a206368112efac774f381ab8d0fc79744','admit_extension.py':'86e6098e764198fef99d58494baaa3a44de0def3fbe7cea26d83c4942bf12d29'}.items(): + need(sha(new/name)==digest,'derived driver binding '+name) + return True +def main(): + need(__debug__,'enabled assertions required by retained scientific engines');authenticate() + ap=argparse.ArgumentParser();ap.add_argument('--work',type=Path,required=True);ap.add_argument('--prepared',type=Path);ap.add_argument('--native',type=Path);ap.add_argument('--allocation',type=Path);a=ap.parse_args() + need(not a.work.exists(),'fresh replay output');work=a.work.resolve();work.mkdir();dep=source();stages=[] + env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1',OPENBLAS_NUM_THREADS='1',OMP_NUM_THREADS='1',PYTHONINTMAXSTRDIGITS='0') + for key in ['PYTHONPATH','PYTHONOPTIMIZE','WITNESS_SPEC','WITNESS_RECORD','WITNESS_DISCOVER']:env.pop(key,None) + def run(name,cmd): + with(work/(name+'.log')).open('w')as out:r=subprocess.run(cmd,env=env,stdout=out,stderr=subprocess.STDOUT,stdin=subprocess.DEVNULL) + stages.append({'name':name,'command':cmd,'exit_code':r.returncode,'log_sha256':sha(work/(name+'.log'))});(work/'STAGES.json').write_text(json.dumps(stages,indent=2)+'\n');need(r.returncode==0,'failed '+name+'; inspect '+str(work/(name+'.log')));print('PASS',name,flush=True) + prepared=a.prepared.resolve()if a.prepared else work/'prepared' + if a.prepared is None:run('source-materialization',[sys.executable,'-B',str(dep/'replay.py'),'--t8-package',str(ROOT/'research/t8-rank7-two-swaps'),'--main-files',str(ROOT),'--work',str(prepared),'--materialize-only']) + old=prepared/'predecessor';new=prepared/'changed' + prepared_check(prepared) + need(sha(new/'source/MANIFEST.json')=='318ede57c79d10323fb1918f7be4d451d1fcdac01c6456fe9851d51d05d59453','unchanged staged native source manifest') + need(sha(old/'adapters/extension_blocknorm.py')=='6e6b8683cc87a84e5410c399b1128eb68694f852a3927cb124067f503ed7d7c7','original stock checker') + allocation=a.allocation.resolve()if a.allocation else work/'allocation' + if a.allocation is None:run('literal-construction',[sys.executable,'-B',str(P/'literal_build.py'),'--out',str(allocation),'--owner-check']) + expected=read(P/'LITERAL-EXPECTED.json') + for name,h in expected['literal_files'].items():need(sha(allocation/name)==h,'candidate literal input '+name) + need(hashlib.sha256(gzip.decompress((allocation/'FILL.json.gz').read_bytes())).hexdigest()==expected['payload_sha256'],'literal semantic payload') + native=a.native.resolve()if a.native else new/'native' + if a.native is None:run('fresh-native',[sys.executable,'-B',str(new/'prepare_extension_native.py'),'--source',str(new/'source'),'--retained-cache',str(old/'native-cache'),'--retained-receipt',str(old/'NATIVE-RECEIPT.json'),'--out',str(native),'--jobs','1']) + # Full admission independently authenticates source/cache/receipt and both words. + native_receipt=read(native/'NATIVE-RECEIPT.json') + run('independent-native-frame-owners',[sys.executable,'-B',str(P/'audit_entry.py'),str(allocation),str(native/'native-cache'),str(work/'INDEPENDENT-OWNERS.json')]) + fill=read(allocation/'FILL.json.gz');need(len(fill['rows'])==1321920,'complete candidate rows');fill['dispatch_overrides']=[] + converted=work/'FILL-legacy.json.gz';converted.write_bytes(gzip.compress(json.dumps(fill,separators=(',',':')).encode(),mtime=0));need(read(converted)['rows']==read(allocation/'FILL.json.gz')['rows'],'legacy semantic conversion') + (work/'FILL-BINDING.json').write_text(json.dumps(fill_binding(allocation/'FILL.json.gz',converted),indent=2)+'\n') + cmd=[sys.executable,'-B',str(new/'admit_extension.py')] + for key,val in {'source':new/'source','fill':converted,'order':allocation/'ORDER.json','dispatch':allocation/'DISPATCH.json','native-cache':native/'native-cache','native-receipt':native/'NATIVE-RECEIPT.json','work':work/'admission','replica-helper-dir':old/'helpers','reconstructor':old/'helpers/reconstruct_replica.py','comparison-claim':old/'PR2969-CLAIM.json','blocknorm-checker':old/'adapters/extension_blocknorm.py'}.items():cmd+=['--'+key,str(val)] + cmd+=['--source-profile','staged3605','--comparison-profile','pr2969','--jobs','1'];run('full-admission',cmd) + result=read(work/'admission/RESULT.json');need(result['status']=='PASS_REPLICA_ORDER_FILL_DERIVATIVE_COMPLETE_RELEASE','complete release status') + exp=read(P/'PRICE-EXPECTED.json');need(result['replicas']==360 and result['actual_expected_helpers']==408,'actual geometry');need(result['profile']==exp['profile'],'complete release profile') + endpoint=Q(exp['root_interval'][0])-Q(1,10**46)-Q(1,10**70);need(Q(result['kappa'])==endpoint,'exact candidate endpoint');need(endpoint>Q(exp['comparator_root_interval'][1]),'strict improvement over latest pinned comparator') + run('exact-price',[sys.executable,'-B',str(P/'price_check.py')]) + out={'status':'PASS_T360_JOIN_SWAP_COMPLETE_CONDITIONAL_RELEASE','kappa':str(endpoint),'kappa_decimal':result['kappa_decimal'],'comparator_pr':3624,'comparator_head':exp['comparator_head'],'replicas':360,'roles':1321920,'physical':323069,'profile':result['profile'],'fresh_native_reused':a.native is not None,'prepared_source_reused':a.prepared is not None,'native_receipt_sha256':sha(native/'NATIVE-RECEIPT.json'),'release_receipt_sha256':sha(work/'admission/release/RELEASE-RECEIPT.json'),'stages':stages,'scope':result['scope']} + (work/'RESULT.json').write_text(json.dumps(out,indent=2)+'\n');print(out['status'],out['kappa_decimal'],flush=True) +if __name__=='__main__':main() diff --git a/research/three-kappa-leads/independent_literal.py b/research/three-kappa-leads/independent_literal.py new file mode 100644 index 0000000000..4028493716 --- /dev/null +++ b/research/three-kappa-leads/independent_literal.py @@ -0,0 +1,134 @@ +# SPDX-License-Identifier: Apache-2.0 +# Adapted from PR3605; retained attribution in UPSTREAM-SOURCE-CREDITS.md. +import sys +if not __debug__ or sys.flags.optimize: + raise RuntimeError("Enabled assertions required before owner replay") +"""Path-adapted copy of the parent independent owner audit. +Original SHA256 1001cb1c8b4ee1f93c23b58b094565ec1b3931eee0ea091a23504696e380be9e. +Filesystem/source authentication and output paths adapted; mathematical predicates retained. +""" +"""Independent vectorized audit of the literal staged-pair owner journal. + +No optimizer, producer, inherited owner checker or reconstructor is imported. +Uses the source execution template and the actual checked native frame tables. +""" +from pathlib import Path +from collections import Counter +import gzip,hashlib,json,os,sys +import numpy as np +R=Path(__file__).resolve().parent +from check_inputs import authenticate +authenticate() +from dependency import source +DEP=source() +if not __debug__:raise SystemExit('unoptimized Python required') +for _key in ('OWNER_SOURCE_REPO','OWNER_LITERAL_DIR','OWNER_NATIVE_DIR','OWNER_AUDIT_OUTPUT'): + if not os.environ.get(_key):raise SystemExit('missing '+_key) +A=Path(os.environ['OWNER_LITERAL_DIR']).resolve() +NATIVE=Path(os.environ['OWNER_NATIVE_DIR']).resolve() +CANONICAL={'base':'735c540b1fe29d0ceeb4d2f304ec941e5f2bd3bc92bafc8cce2b4f9a67a3b653','extra':'886338fc32da14f3389a82c8120a1bcf9c5e2f0ec3e9b2d377fdae809e1d977f'} +S=Path(os.environ['OWNER_SOURCE_REPO']).resolve()/'research/rank7-joint-endframes/allocation/vendor' +def need(v,m): + if not v:raise ValueError(m) +def sha(p):return hashlib.sha256(p.read_bytes()).hexdigest() +def read(p): + b=p.read_bytes();return json.loads(gzip.decompress(b) if p.suffix=='.gz' else b) +def rank(v): + piv={} + for q in v: + while q: + h=q.bit_length() + if h in piv:q^=piv[h] + else:piv[h]=q;break + return len(piv) +for rel,digest in read(DEP/'owners/ARTIFACTS.json').items(): + f=DEP/'owners'/rel;need(f.is_file() and not f.is_symlink() and sha(f)==digest,'frozen audit artifact '+rel) +paths=[A/n for n in ('FILL.json.gz','ORDER.json','DISPATCH.json','PROFILE.json')]+[S/'PLAN.json.gz',S/'TEMPLATE.json.gz'] +paths += [NATIVE/CANONICAL[p]/'local/CANONICAL-WORD.json.gz' for p in ('base','extra')] +source_pins=read(DEP/'owners/SOURCE-PINS.json') +repo=Path(os.environ['OWNER_SOURCE_REPO']).resolve() +for rel,digest in source_pins['repo_files'].items():need(sha(repo/rel)==digest,'retained source pin '+rel) +for tag in ('base','extra'):need(sha(NATIVE/CANONICAL[tag]/'local/CANONICAL-WORD.json.gz')==source_pins['native_canonical'][tag]['canonical_sha256'],'actual native canonical pin') +pins={str(p):sha(p) for p in paths} +expected=read(R/'LITERAL-EXPECTED.json');need(hashlib.sha256(gzip.decompress(paths[0].read_bytes())).hexdigest()==expected['payload_sha256'],'freshT360payload') +baseorder=read(DEP/'owners/ORDER37.json')+[[s,r+37]for s,r in read(DEP/'owners/T8-ORDER.json')] +baseorder[332],baseorder[333]=baseorder[333],baseorder[332] +need(read(paths[1])==[[s,r+45*cp]for s,r in baseorder for cp in range(8)],'exactmixedsourceclock') +basedispatch={(s,r):p for s,r,p in read(DEP/'owners/DISPATCH37.json')};basedispatch.update({(s,r+37):p for s,r,p in read(DEP/'owners/T8-DISPATCH.json')}) +need(read(paths[2])==[[s,r+45*cp,basedispatch[s,r]]for s,r in baseorder for cp in range(8)],'exactsourceproviderdispatch') +order=read(paths[1]);dispatch=read(paths[2]);profile={int(k):v for k,v in read(paths[3]).items()};plan=read(paths[4]);template=read(paths[5]) +T=360;N=9*T +need(len(order)==N and len(set(map(tuple,order)))==N,'call coverage') +clock={tuple(call):t for t,call in enumerate(order)} +need(set(clock)=={(s,r) for s in range(9) for r in range(T)},'exact source calls') +need(all([clock[s,r] for s in range(9)]==sorted(clock[s,r] for s in range(9)) for r in range(T)),'per-replica order') +D={(s,r):p for s,r,p in dispatch};need(len(dispatch)==N and set(D)==set(clock),'dispatch coverage') +need(Counter(D.values())==Counter(pid for s,r,pid in read(paths[2])),'provider count') +# Reconstruct source windows per replica from the actual source event sequence. +children={x['child']:x['rank'] for x in template['idle_children']};K=max(children)+1 +cap=np.zeros((T,K),dtype=np.int64);lo=np.full((T,K),N,dtype=np.int64);hi=np.full((T,K),-2,dtype=np.int64) +local_pair={x['stage']:x['pair'] for x in template['recipe'] if x['kind']=='local'} +for r in range(T): + touched={};t=None + for ev in template['execution_schedule']: + kind=ev['kind'] + if kind in ('bank_padding_cover_sweep','translate_every_live_family'):continue + if kind=='local_cover_sweep': + t=clock[ev['stage'],r];touched[local_pair[ev['stage']]]=t + elif kind=='bridge': + need(t is not None,'bridge source');touched[ev['src']]=t;touched[ev['dst']]=t + elif kind=='idle_cover_sweep': + need(t is not None,'idle source') + for c in ev['child_indices']: + if c in children: + need(cap[r,c]==0,'unique source child');cap[r,c]=children[c];lo[r,c]=touched.get(ev['pair'],-1);hi[r,c]=t + else:need(kind in ('terminal_Y_translations','terminal'),'known source event') +need(np.all(cap[:,list(children)]>0),'all source windows') +fam=np.full(K,-1,np.int64) +for c in children:fam[c]=2*plan['pairs'][str(c)]+plan['sides'][str(c)] +widths={};L=None +for tag,pid in [('base','gauge44'),('extra','extra')]: + w=read(NATIVE/CANONICAL[tag]/'local/CANONICAL-WORD.json.gz') + need(w['R']==408 and len(w['zero_buffers'])==91,'native helper stock') + widths[pid]=np.array([rank(w['frames'][w['final'][224+h]])-rank(w['frames'][w['start'][224+h]]) for h in range(408)],dtype=np.int64) + need(Counter(widths[pid])=={4:26,5:2,6:18,7:52,8:97,9:213},'actual native widths') + loc={int(k):v for k,v in w['local_profile'].items()} + need(L is None or L==loc,'common actual native bill');L=loc +need(L=={1:2439,2:726,3:224,4:102,5:20,8:8},'new local bill') +bycall=np.stack([widths[D[tuple(call)]] for call in order]) +j=read(A/'FILL.json.gz');need(j['columns']==['time','helper','owner_replica','child','port','offset'] and j['dispatch_overrides']==[],'journal schema') +need(all(len(row)==6 and all(type(v) is int for v in row) for row in j['rows']),'literal integer roles') +rows=np.array(j['rows'],dtype=np.int64);del j +need(rows.shape==(N*408,6),'literal role shape') +need(np.array_equal(rows[:,0],np.repeat(np.arange(N),408)) and np.array_equal(rows[:,1],np.tile(np.arange(408),N)),'complete literal ordered helper identities') +t,h,o,c,p,z=rows.T +need(np.all((o>=0)&(o=0)&(c=0)&(p<112)),'owner bounds') +need(np.all(cap[o,c]>0),'declared source child') +need(np.all((lo[o,c]=0)&(z+w<=cap[o,c])),'actual widths and capacity') +binid=(o*K+c)*112+p +idx=np.lexsort((t,binid));bins=binid[idx];ws=w[idx];starts=np.r_[True,bins[1:]!=bins[:-1]] +cs=np.cumsum(ws,dtype=np.int64)-ws;baseline=np.maximum.accumulate(np.where(starts,cs,0));expected=cs-baseline +need(np.array_equal(z[idx],expected),'every chronological pending mask is a compact prefix') +used=np.zeros(T*K*112,np.int64);np.add.at(used,binid,w) +allcap=np.repeat(cap.reshape(-1),112);valid=allcap>0 +need(np.all(used[~valid]==0) and np.all(used<=allcap),'full used-bin mass') +idle=Counter(map(int,(allcap-used)[valid]));idle.pop(0,None) +H=Counter({r:n*N for r,n in L.items()});H.update(idle) +need(dict(H)==profile and sum(r*n for r,n in H.items())==65088*T,'independent complete histogram') +# Small semantic predicates test each independent gate on actual changed inputs. +controls=[] +def reject(name,test): + need(not test(), 'control accepted '+name);controls.append(name) +reject('duplicate helper',lambda: np.array_equal(np.r_[rows[0,1],rows[:-1,1]],np.tile(np.arange(408),N))) +reject('strict lower endpoint used as available',lambda: bool(lo[o[0],c[0]]=min(hi,h) for l,h in intervals[j+1:]) + xg=defaultdict(list);zg=defaultdict(list) + for gi,q,n in cert['x']:xg[gi].append((q,n)) + for gi,t,w,n in cert['z']:zg[gi].append((t,w,n)) + task_width=array('B');task_bin=array('I');bin_group=array('H');required=array('b');macro=[array('I') for _ in range(405)];bin_ranges=[] + for gi,g in enumerate(G): + bstart=len(bin_group);available=defaultdict(lambda:array('I')) + for q,n in sorted(xg[gi]): + widths=[w for w,k in zip(W,q) for _ in range(k)] + for _ in range(n): + b=len(bin_group);bin_group.append(gi);required.append(-1) + for w in widths: + i=len(task_width);task_width.append(w);task_bin.append(b);available[w].append(i) + cursor=Counter() + for t,w,n in sorted(zg[gi]): + ids=available[w][cursor[w]:cursor[w]+n];assert len(ids)==n;macro[t].extend(ids);cursor[w]+=n + assert all(cursor[w]==len(ids) for w,ids in available.items()) + assert len(bin_group)-bstart==g[3]*S;bin_ranges.append((bstart,len(bin_group))) + assert len(task_width)==405*S*408 + actual=[array('I') for _ in range(405*S)];group_n={gi:g[3] for gi,g in enumerate(G)};stats=Counter();t0=time.monotonic() + for t,indices in enumerate(macro): + colors,stat=copy_colors(sorted(indices),task_bin,task_width,bin_group,group_n,S) + for i,cp in colors.items(): + actual[S*t+cp].append(i);b=task_bin[i];gi=bin_group[b] + if t==G[gi][2]:required[b]=max(required[b],cp) + stats['flows']+=stat['flows'];stats['max_nodes']=max(stats['max_nodes'],stat['max_nodes']);stats['max_edges']=max(stats['max_edges'],stat['max_edges']) + if t%40==0:print('PORTABLE_CALL_DECOMPOSITION',t,'seconds',round(time.monotonic()-t0,2),flush=True) + assert all(len(call)==408 for call in actual) + owners=array('H',[0])*len(bin_group);children=array('H',[0])*len(bin_group);ports=array('B',[0])*len(bin_group) + for gi,(lo,hi) in enumerate(bin_ranges): + base=groups[groupkeys[gi]];m=len(base) + for j,b in enumerate(sorted(range(lo,hi),key=lambda b:(required[b],b),reverse=True)): + cp=S-1-j//m;o,ch,p=base[j%m];assert cp>=required[b] + owners[b]=o+45*cp;children[b]=ch;ports[b]=p + order=[[s,r+45*cp] for s,r in order45 for cp in range(S)];t8dispatch={(s,r):pid for s,r,pid in common.read(DEP/'owners/T8-DISPATCH.json')};dispatch={(s,r+45*cp):(c.dispatch[s,r] if r<37 else t8dispatch[s,r-37]) for s,r in order45 for cp in range(S)} + providers=common.read(DEP/'owners/PROVIDERS.json') + for provider in providers.values():provider['actual_paid_profile']={int(k):v for k,v in provider['actual_paid_profile'].items()} + for pid,provider in providers.items(): + assert provider['widths']==[w-int(h in (389,397)) for h,w in enumerate(c.providers[pid]['widths'])] + assert provider['actual_paid_profile']==LOCAL + a.out.mkdir(parents=True,exist_ok=False) + for name,obj in [('ORDER.json',order),('DISPATCH.json',[[s,r,dispatch[s,r]] for s,r in order]),('PROFILE.json',cert['profile']),('PROVIDERS.json',common.read(DEP/'owners/PROVIDERS.json'))]: + # The source profile file uses indented sorted-rank formatting. + if name=='PROFILE.json':data=json.dumps({int(k):v for k,v in sorted(cert['profile'].items(),key=lambda kv:int(kv[0]))},indent=2)+'\n' + else:data=json.dumps(obj,separators=(',',':'))+'\n' + (a.out/name).write_text(data) + + rows=Rows(actual,task_width,task_bin,owners,children,ports,order,dispatch,providers);made=write_fill(a.out/'FILL.json.gz',rows) + # Fresh candidate payload is retained as evidence, not compared to predecessor. + # Container bytes are provenance only: zlib streams may vary across runtimes. + assert made['rows']==405*S*408 + assert primal['profile']=={int(k):v for k,v in cert['profile'].items()} + report=dict(status='PASS_STANDARD_LIBRARY_SEMANTIC_LITERAL_REPLAY',replicas=T,calls=405*S,roles=len(rows),physical=896*T+509,materialized=made,decomposition=dict(stats),primal=primal,fresh_retained_owner_check=False,scope='Fresh join-swapT45S8 exact integer networks and literal generation. No predecessor owner receipt is reused as candidate proof. Fresh independent literal audit and full release required.') + if a.owner_check: + fill={'columns':['time','helper','owner_replica','child','port','offset'],'dispatch_overrides':[],'rows':rows} + result,_,_=c.owner.check(T,order,fill,dispatch,cert['profile'],c.plan,c.template,providers);report['fresh_retained_owner_check']=True;report['owner_check']=result + (a.out/'PORTABLE-REPLAY.json').write_text(json.dumps(report,indent=2,sort_keys=True)+'\n') + print('PORTABLE_REPLAY_PASS',json.dumps(made),flush=True) + +if __name__=='__main__':main() diff --git a/research/three-kappa-leads/price_check.py b/research/three-kappa-leads/price_check.py new file mode 100644 index 0000000000..36119338ec --- /dev/null +++ b/research/three-kappa-leads/price_check.py @@ -0,0 +1,27 @@ +"""Exact rational root enclosure and normalized paid-profile comparison.""" +from pathlib import Path +from fractions import Fraction as Q +from collections import Counter +import json,hashlib +from chronology_check import DEP,check,common,P +from dependency import load +price=load('retained_rational_price',DEP/'price.py') +def main(): + actual=check(common.read(P/'CHRONOLOGY-CANDIDATE.json'));expected=common.read(P/'PRICE-EXPECTED.json');H=actual['profile'];T=actual['replicas'];price.need(expected['profile']=={str(r):n for r,n in H.items()},'actual profile matches root input') + retained=common.read(DEP/'EXPECTED.json') + price.need(expected['comparator_profile']==retained['profile'] and expected['comparator_root_interval']==retained['root_interval'] and expected['comparator_replicas']==retained['replicas'],'retained PR3624 comparator binding') + old={int(r):n for r,n in retained['profile'].items()};delta={r:450*H.get(r,0)-T*old.get(r,0)for r in set(H)|set(old)};price.need(sum(r*n for r,n in delta.items())==0,'normalized mass') + difference=price.interval(delta,Q(expected['comparator_root_interval'][1]));price.need(difference[1]<0,'strict normalized cost decrease') + signed=H.copy();signed[73]=-896*T;lo,hi=map(Q,expected['root_interval']);lower=price.interval(signed,lo);upper=price.interval(signed,hi);price.need(lower[1]<0Q(latest['root_interval'][1]),'strict endpoint improvement over PR3626') + result.update(latest_comparator_pr=3626,latest_comparator_head=provenance['head'],normalized_delta_vs_PR3626=latest_delta,latest_difference=price.compact(latest_difference),gain_root_lower_vs_PR3626_upper=str(lo-Q(latest['root_interval'][1]))) + print(json.dumps(result,indent=2));return result +if __name__=='__main__':main() diff --git a/research/three-kappa-leads/requirements-full.txt b/research/three-kappa-leads/requirements-full.txt new file mode 100644 index 0000000000..688ac23a71 --- /dev/null +++ b/research/three-kappa-leads/requirements-full.txt @@ -0,0 +1,4 @@ +numpy==1.26.4 +scipy==1.15.3 +sympy==1.14.0 +mpmath==1.3.0 diff --git a/research/three-kappa-leads/reviews/REVIEW-DECISIONS.json b/research/three-kappa-leads/reviews/REVIEW-DECISIONS.json new file mode 100644 index 0000000000..005bd51895 --- /dev/null +++ b/research/three-kappa-leads/reviews/REVIEW-DECISIONS.json @@ -0,0 +1,24 @@ +{ + "lead2": { + "model": "gpt-6-astra", "reasoning_effort": "medium", + "artifact": "80a2ab05c58b6a7e2050567ce12aae67bcf334cd", + "CONCLUDE": "YES", "OUTCOME": "SCOPED_NEGATIVE", + "scope": "One address-independent bridge; broader address-dependent changed-bridge route remains INCONCLUSIVE", + "critical_gaps": [], "independent_full_word_corrected_cases": 48, + "unchanged_bridge_failure_controls": 18, + "remaining_open_domain": ["address-dependent replacement programs", "changed hosting/translations/event order", "other owner/port words", "full paid-profile reduction"] + }, + "lead3": { + "model": "gpt-6-astra", "reasoning_effort": "medium", + "initial_artifact": "b22f6a0f6", "initial_CONCLUDE": "CONTINUE", + "initial_objection": "Directly read five-plane CANDIDATE.json lacked an explicit hash pin", + "artifact": "fcb90595d3db6f76817a221a82274c060fd8d163", + "CONCLUDE": "YES", "OUTCOME": "SCOPED_NEGATIVE", + "repair": "Explicit candidate pin added; mutation rejected; renewed independent review", + "scope": "Unchanged ZERO-frame consumers/wrappers; redesigned native route remains INCONCLUSIVE", + "critical_gaps": [], "independent_source_basis_cases": 512, + "independent_target_basis_cases": 512, + "remaining_open_domain": ["literal five-frame producer", "compensated consumers", "complete physical source/owner schedule", "workspace restoration", "paid routing/hosting/precision profile"] + }, + "review_status": "Same-session scoped AI review; not independent human or formal acceptance" +} diff --git a/research/three-kappa-leads/reviews/lead3/RESULT.json b/research/three-kappa-leads/reviews/lead3/RESULT.json new file mode 100644 index 0000000000..14b85355c1 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead3/RESULT.json @@ -0,0 +1,57 @@ +{ + "reviewed_head": "fcb90595d3db6f76817a221a82274c060fd8d163", + "source_basis_dirty_dense_cases": 512, + "target_basis_cases": 512, + "all23_final_scratch_restores": true, + "first_consumer_fails": true, + "matched_translation_restoration_passes": true, + "target_posttranslation_only_fails": true, + "deltas": [ + 98, + 70, + 100, + 274, + 50, + 506, + 247, + 352, + 304, + 56, + 19, + 274, + 22, + 445, + 152, + 388, + 268, + 254, + 463, + 508, + 322, + 475, + 235 + ], + "first_event": [ + "scalar", + [ + "add", + [ + "L", + 112 + ], + [ + "C", + 0 + ], + 1, + 4 + ], + 0 + ], + "scope": "conditional unchanged ZERO consumer splice, not native five-plane route", + "candidate_mutation_rejected": true, + "consumer_screen_replay": "PASS", + "predecessor_local_basis_cases": 11776, + "conclude": "YES", + "outcome": "SCOPED_NEGATIVE" +} diff --git a/research/three-kappa-leads/reviews/lead3/check_pin.py b/research/three-kappa-leads/reviews/lead3/check_pin.py new file mode 100644 index 0000000000..62febef835 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead3/check_pin.py @@ -0,0 +1,19 @@ +from pathlib import Path +from unittest.mock import patch +import sys,json +R=Path('/Users/temp/.codex/worktrees/three-kappa-leads/integer-mult-bounds') +sys.path.insert(0,str(R/'research/three-kappa-leads')) +from check_inputs import authenticate +authenticate() +original=Path.read_bytes +candidate='research/five-plane-port-p112-seed1f7fdfe4/CANDIDATE.json' +def corrupted(p): + raw=original(p) + return raw+b' ' if str(p).endswith(candidate) else raw +with patch.object(Path,'read_bytes',corrupted): + try:authenticate() + except ValueError as e: + assert candidate in str(e) + else:raise AssertionError('candidate mutation accepted') +p=Path('/tmp/three-kappa-astra-lead3/RESULT.json');r=json.loads(p.read_text());r['candidate_mutation_rejected']=True;r['consumer_screen_replay']='PASS';r['predecessor_local_basis_cases']=11776;r['conclude']='YES';r['outcome']='SCOPED_NEGATIVE';p.write_text(json.dumps(r,indent=2)+'\n') +print('PASS CANDIDATE source mutation rejected; scoped review complete') diff --git a/research/three-kappa-leads/reviews/lead3/independent.py b/research/three-kappa-leads/reviews/lead3/independent.py new file mode 100644 index 0000000000..395f1dbeb5 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead3/independent.py @@ -0,0 +1,46 @@ +from pathlib import Path +from fractions import Fraction as F +import tarfile,gzip,json,hashlib,subprocess +R=Path('/Users/temp/.codex/worktrees/three-kappa-leads/integer-mult-bounds') +sha=subprocess.check_output(['git','rev-parse','HEAD'],cwd=R,text=True).strip() +with tarfile.open(R/'research/community-frontier1094-audit/selected-replay.tar.gz') as tf: + def get(n):return json.loads(gzip.decompress(tf.extractfile('candidate/strict/global/base/split-centres/'+n).read())) + events=get('LOCAL-PROGRAMS.json.gz')['forward'] + data=json.loads(tf.extractfile('candidate/strict/global/base/work/complex-nine-native/DATA-PHASES.json').read()) +labels=[r['q'] for r in sorted(data['recipes'],key=lambda r:r['port'])] +candidate=json.loads((R/'research/five-plane-port-p112-seed1f7fdfe4/CANDIDATE.json').read_text())['candidate'] +blocks=candidate['blocks'];assert sorted(sum(blocks,[]))==list(range(112)) +deltas=[] +for b in blocks: + d=0 + for p in b:d^=labels[p] + deltas.append(d) +assert deltas[:2]==[98,70] +assert events[13062]==['scalar',['add',['L',112],['C',0],1,4],0] +assert events[13074]==['scalar',['clear',['C',0]],0] +assert events[13076]==['scalar',['copy',['C',1],['L',224]],415] +def X(v,d):return [v[i^d] for i in range(512)] +def add(d,h):return [a+b/4 for a,b in zip(d,h)] +# Independent dense vectors: all source basis vectors; arbitrary dense dirty targets. +dirty=[F((i*17)%31-15,7) for i in range(512)] +for a in range(512): + h=[F(0)]*512;h[a]=F(1) + shifted=h[:] + first=None + for delta in deltas: + shifted=X(shifted,delta) + if first is None:first=add(dirty,shifted) + assert shifted==h and first!=add(dirty,h) + assert X(add(X(dirty,98),X(h,98)),98)==add(dirty,h) +# Target-only basis directions are restored by matched translation for zero source; +# together with source directions this checks the full 1024-dimensional block map. +for a in range(512): + d=[F(0)]*512;d[a]=F(1);z=[F(0)]*512 + assert X(add(X(d,98),X(z,98)),98)==d +# Exact dense source with several values and dirty output detects omission of target pretranslation. +h=[F((i*11)%23-11,13) for i in range(512)] +assert X(add(dirty,X(h,98)),98)!=add(dirty,h) +assert X(add(X(dirty,98),X(h,98)),98)==add(dirty,h) +report={'reviewed_head':sha,'source_basis_dirty_dense_cases':512,'target_basis_cases':512,'all23_final_scratch_restores':True,'first_consumer_fails':True,'matched_translation_restoration_passes':True,'target_posttranslation_only_fails':True,'deltas':deltas,'first_event':events[13062],'scope':'conditional unchanged ZERO consumer splice, not native five-plane route'} +Path('/tmp/three-kappa-astra-lead3/RESULT.json').write_text(json.dumps(report,indent=2)+'\n') +print(json.dumps(report)) diff --git a/research/three-kappa-leads/verify.py b/research/three-kappa-leads/verify.py new file mode 100644 index 0000000000..16c292a448 --- /dev/null +++ b/research/three-kappa-leads/verify.py @@ -0,0 +1,11 @@ +#!/usr/bin/env python3 +"""Bounded exact finite checks and stored-evidence authentication, no full replay.""" +from pathlib import Path +import os,subprocess,sys +P=Path(__file__).resolve().parent +if not __debug__:raise RuntimeError('enabled assertions required by retained proof engines') +env=dict(os.environ,PYTHONDONTWRITEBYTECODE='1') +for key in ['PYTHONPATH','PYTHONOPTIMIZE','WITNESS_SPEC','WITNESS_RECORD','WITNESS_DISCOVER']:env.pop(key,None) +for script in ['chronology_check.py','aggregate_controls.py','price_check.py','bridge_screen.py','consumer_screen.py','evidence_check.py','evidence_controls.py']: + subprocess.run([sys.executable,'-B',str(P/script)],env=env,check=True) +print('PASS_THREE_LEADS_FINITE_AND_STORED_EVIDENCE_NOT_FRESH_FULL_REPLAY') From 22319114abe8a6ffdb54c6c2a0dcbc643ceba808 Mon Sep 17 00:00:00 2001 From: zxv Date: Sun, 18 Oct 2026 07:28:19 -0400 Subject: [PATCH 5/8] Use partial package outcome while final release is pending --- research/three-kappa-leads/TASK.json | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/research/three-kappa-leads/TASK.json b/research/three-kappa-leads/TASK.json index b8e13db992..b49e2e0821 100644 --- a/research/three-kappa-leads/TASK.json +++ b/research/three-kappa-leads/TASK.json @@ -51,7 +51,7 @@ "bottleneck_link": "A gain must change the complete paid recursive profile and pass both supplier caps, physical stock, precision and outer release.", "budget_minutes": 60, "stop_rule": "Use exact structural/complete-cost screens early; do not equate a narrow failure with broad exhaustion. Positive aggregate allocation requires full literal and admission evidence before kappa claim.", - "outcome": "in_progress", + "outcome": "partial", "evidence": "See STATUS.json, exact receipts, CHRONOLOGY.md, BRIDGE.md and CONSUMER.md.", "author": "OpenAI Codex, with substantial AI assistance", "ai_assistance": "GPT-6.1 Sol investigation; separate fresh GPT-6 Astra medium scoped reviews of each lead; not independent human or formal acceptance.", From 58ed1eaffe862394548fe81aaa259c62a0819695 Mon Sep 17 00:00:00 2001 From: zxv Date: Sun, 18 Oct 2026 07:48:45 -0400 Subject: [PATCH 6/8] Record complete T360 release, concurrent frontier tie and independent fixed-model ceiling --- .../three-kappa-leads/CEILING-RESULT.json | 13 + research/three-kappa-leads/CHRONOLOGY.md | 12 +- research/three-kappa-leads/PR-DRAFT.md | 11 + research/three-kappa-leads/README.md | 8 +- research/three-kappa-leads/STATUS.json | 37 +- research/three-kappa-leads/TASK.json | 4 +- research/three-kappa-leads/VALIDATION.json | 55 + research/three-kappa-leads/VERIFY.json | 4 +- research/three-kappa-leads/ceiling_check.py | 58 + .../comparators/PR3630-README.md | 121 + .../comparators/PR3633-CREDITS.md | 9 + .../comparators/PR3633-EXPECTED.json | 25 + .../comparators/PR3633-SOURCES.json | 39 + .../comparators/PR3633-ceiling-CEILING.json | 272 + .../comparators/PR3633-ceiling-PROOF.md | 28 + .../PR3633-ceiling-verify_ceiling.py | 110 + .../evidence/EVIDENCE-PINS.json | 23 + .../evidence/FILL-BINDING.json | 7 + .../evidence/FULL-ENTRY-RESULT.json | 87 + .../evidence/INDEPENDENT-OWNERS.json | 41 + .../evidence/LITERAL-REPLAY.json | 58 + .../evidence/NATIVE-COMMANDS-base.json | 85 + .../evidence/NATIVE-COMMANDS-extra.json | 85 + .../evidence/NATIVE-ENVIRONMENT.json | 13 + .../evidence/NATIVE-RECEIPT.json | 113 + .../evidence/NATIVE-RESULT-base.json | 55 + .../evidence/NATIVE-RESULT-extra.json | 55 + .../evidence/PREFIX-AND-INVOICE.json | 49768 ++++++++++++++++ .../evidence/RELEASE-RECEIPT.json | 7 + .../three-kappa-leads/evidence/RESULT.json | 382 + research/three-kappa-leads/evidence_check.py | 2 +- research/three-kappa-leads/verify.py | 2 +- 32 files changed, 51576 insertions(+), 13 deletions(-) create mode 100644 research/three-kappa-leads/CEILING-RESULT.json create mode 100644 research/three-kappa-leads/PR-DRAFT.md create mode 100644 research/three-kappa-leads/VALIDATION.json create mode 100644 research/three-kappa-leads/ceiling_check.py create mode 100644 research/three-kappa-leads/comparators/PR3630-README.md create mode 100644 research/three-kappa-leads/comparators/PR3633-CREDITS.md create mode 100644 research/three-kappa-leads/comparators/PR3633-EXPECTED.json create mode 100644 research/three-kappa-leads/comparators/PR3633-SOURCES.json create mode 100644 research/three-kappa-leads/comparators/PR3633-ceiling-CEILING.json create mode 100644 research/three-kappa-leads/comparators/PR3633-ceiling-PROOF.md create mode 100644 research/three-kappa-leads/comparators/PR3633-ceiling-verify_ceiling.py create mode 100644 research/three-kappa-leads/evidence/EVIDENCE-PINS.json create mode 100644 research/three-kappa-leads/evidence/FILL-BINDING.json create mode 100644 research/three-kappa-leads/evidence/FULL-ENTRY-RESULT.json create mode 100644 research/three-kappa-leads/evidence/INDEPENDENT-OWNERS.json create mode 100644 research/three-kappa-leads/evidence/LITERAL-REPLAY.json create mode 100644 research/three-kappa-leads/evidence/NATIVE-COMMANDS-base.json create mode 100644 research/three-kappa-leads/evidence/NATIVE-COMMANDS-extra.json create mode 100644 research/three-kappa-leads/evidence/NATIVE-ENVIRONMENT.json create mode 100644 research/three-kappa-leads/evidence/NATIVE-RECEIPT.json create mode 100644 research/three-kappa-leads/evidence/NATIVE-RESULT-base.json create mode 100644 research/three-kappa-leads/evidence/NATIVE-RESULT-extra.json create mode 100644 research/three-kappa-leads/evidence/PREFIX-AND-INVOICE.json create mode 100644 research/three-kappa-leads/evidence/RELEASE-RECEIPT.json create mode 100644 research/three-kappa-leads/evidence/RESULT.json diff --git a/research/three-kappa-leads/CEILING-RESULT.json b/research/three-kappa-leads/CEILING-RESULT.json new file mode 100644 index 0000000000..37e47ae7eb --- /dev/null +++ b/research/three-kappa-leads/CEILING-RESULT.json @@ -0,0 +1,13 @@ +{ + "status": "PASS_INDEPENDENT_FIXED_MODEL_CEILING_AND_T360_ATTAINMENT", + "patterns": 2551, + "strict": 2539, + "symbolically_zero": 12, + "minimum_reduced_cost_lower": "202673401282260647706625712372622425024888745186503801991/50000000000000000000000000000000000000000000000000000000000", + "root_upper": "1730096363528623534231/1000000000000000000000000", + "normalized_tie_pr3633": true, + "physical_saving_vs_pr3633": 114688, + "roles_saving_vs_pr3633": 470016, + "remaining_24_place_release_grid_improvement": "NONE: all fixed-model roots below next grid point; T360 already attains largest allowed lower grid point", + "scope": "Fixed capacities/inventory/local bill, 9 calls and live896T, any positive integer T; chronology/hosting relaxed. No ceiling for changed supplier, geometry, interface or precision grid." +} diff --git a/research/three-kappa-leads/CHRONOLOGY.md b/research/three-kappa-leads/CHRONOLOGY.md index 2f2d54de3d..90680622a1 100644 --- a/research/three-kappa-leads/CHRONOLOGY.md +++ b/research/three-kappa-leads/CHRONOLOGY.md @@ -30,7 +30,7 @@ All occupied ranks are positive and below73, so F is strictly increasing; F(0)<1 `[0.001730096363528623534230,0.001730096363528623534231]`. -The finite intended outer endpoint is the lower endpoint minus`10^-46+10^-70`; full release remains the separate admission gate. +The finite intended outer endpoint is the lower endpoint minus`10^-46+10^-70`; the complete original source-bound release passed at that exact endpoint. Normalized comparison against #3624 (T450) gives nonzero signed coefficients @@ -74,3 +74,13 @@ The completed coverage, exact commands, original failed environment attempt and Do other bounded join changes or complete allocations improve this new profile? First recompute exact source windows and an optimistic full bill; require an integer primal before literal expansion. No optimality claim here justifies a census. The unrelated unresolved theorem-level premises remain independent research obligations and are not discharged by a new finite allocation. Credit Ross Richardson/#3605 and the retained integral-network/source lineage; hexapode/#3494 and #3624 for T8, combination and admission machinery; #3626 for the stronger live comparison; all original authors retained in their source notices. New join experiment, integer certificate, adapted checks and package by OpenAI Codex with substantial AI assistance. Independent Astra review is a separate scoped AI check, not human or formal acceptance. + +## Final freshness correction and fixed-model stopping result + +At11:42:53UTC the live refresh found concurrent #3633, head72c268f113368ea0387d188225e3f81ba6d6ef73, with exactly this endpoint and normalized profile at T488. No claim to exceed that candidate or own the first attainment is made. Its1,791,936 roles and437,757 physical families exceed ours by470,016 and114,688 respectively. The complete source/native/physical/precision/outer release of our T360 construction passed. This supports a smaller matching-frontier contribution. + +PR3630 independently supplied an all-T fixed-inventory packing ceiling; #3633 supplied a primal/dual attainment certificate. We retain the latter's exact dual data and attribution under comparators/. Our independently written ceiling_check.py uses the earlier PR3624 rational moment engine, not the new published ceiling interpreter, and recomputes all2,551 patterns at OUR exact upper24-place grid point0.001730096363528623534231. It verifies12 symbolic zero reduced costs,2,539 strictly positive rational lower bounds, all primal equalities, and equality with our exact per-replica profile. The independently certified positive moment at that upper grid point bounds every relaxed profile in this fixed model. + +The capacity/width constraints scale linearly with any positive integer T. Removing chronology, physical families and integrality only improves the relaxation, so this dual also bounds all such legal fixed-model constructions. Every positive rank is below73 and its normalized cost increases with the exponent. Thus no admissible fixed-model root reaches the next24-place grid point. Since our released C is the preceding grid point, no further packing/chronology search within these capacities, widths, local bill, nine-call/live896T normalization and SAME24-place transfer recipe can increase the released endpoint. This is a scoped stopping result; different precision/outer choices or changed suppliers/interfaces are not excluded. Any possible remaining real-root slack below the next grid point is less than10^-24, not a new useful chronology opportunity. + +Lead1 therefore yields LOCAL_PROGRESS (full smaller frontier match) and a scoped negative for a strict new24-grid κ increase in this fixed supplier model. It does not satisfy SUCCESS_KAPPA against the refreshed concurrent candidate. The scope revision is due to new public evidence, not elapsed time or an unsuccessful search. A focused submission-ready PR should advertise the smaller construction and preserved credit. diff --git a/research/three-kappa-leads/PR-DRAFT.md b/research/three-kappa-leads/PR-DRAFT.md new file mode 100644 index 0000000000..8a4aefa81a --- /dev/null +++ b/research/three-kappa-leads/PR-DRAFT.md @@ -0,0 +1,11 @@ +Title: Match the staged-width conditional κ frontier with a smaller T360 allocation + +The staged-width suppliers admit a better complete allocation after exchanging the adjacent final T37 call and initial T8 call. Recomputed source windows and an exact S8 allocation give T360, 1,321,920 literal helper roles and 323,069 physical families. The full paid profile crosses between `0.001730096363528623534230` and `0.001730096363528623534231`; the intended conditional released endpoint is the lower endpoint minus `10^-46+10^-70`. Exact normalized pricing beats #3626 by about `2.44988228437e-8`, as well as #3624, and ties the newer concurrent #3633 endpoint. Relative to that T488 construction, this uses114,688 fewer physical families and470,016 fewer helper roles. The independent2,551-pattern dual replay closes further packing improvements on the same fixed-model24-place release grid. No priority claim or minimal replica count is claimed. + +The package retains the exact predecessor source bytes and credit, an integer certificate, deterministic literal builder, separate audit using actual native frames, full replay entry and authenticated execution evidence. It also records the two other assigned investigations as appendices: one constant-bridge dictionary rewrite is excluded, and unchanged native five-plane consumers expose deferred translation debt. Both broader redesigned mechanisms remain inconclusive. + +Validation and independent Astra review status are recorded in `research/three-kappa-leads/VALIDATION.json`, `STATUS.json` and `reviews/REVIEW-DECISIONS.json`. The completed full release used both changed native suppliers freshly checked in the same session, authenticates retained parent evidence, and checks the complete physical/precision/outer release. The complete cold one-command CLI is separate; do not infer it ran from stored receipt verification. The first environment attempt failed because isolated subprocesses could not import user-site NumPy; a dedicated Python3.12 environment resolves that dependency boundary. + +All inherited all-size/compiler, common-label/mutable-source, uniform-cost, hosting, bootstrap-time, precision/recovery/tape, analytic and bit-interface premises remain. This is a conditional finite construction, not an unconditional multiplication theorem or a selected-frontier update. Credit Ross Richardson/#3605, hexapode/#3494/#3624/#3626 and all retained source authors. Substantial OpenAI Codex assistance and scoped same-session Astra AI review are disclosed; no human or formal-kernel approval is claimed. + +Submission status: complete release passed; required final Astra lead1 review pending. Local draft, no public PR opened. diff --git a/research/three-kappa-leads/README.md b/research/three-kappa-leads/README.md index db2c8497f8..51f1562b11 100644 --- a/research/three-kappa-leads/README.md +++ b/research/three-kappa-leads/README.md @@ -1,14 +1,14 @@ -# Three assigned κ leads: T360 candidate and two scoped obstructions +# Three assigned κ leads: a smaller T360 frontier match and scoped obstructions -Local-only research package on `codex/three-kappa-leads`; no selected-frontier change or public submission. The constructive lead has an exact T360 profile crossing at `0.001730096363528623534230…`. Full admission and final Astra review are tracked in STATUS.json and VALIDATION.json; the profile alone is not supplier admission. +Local-only research package on `codex/three-kappa-leads`; no selected-frontier change or public submission. The T360 construction passed complete source/native/physical/precision/outer release at `κ=0.001730096363528623534230−10^-46−10^-70`. The latest refresh found concurrent #3633 reporting the identical endpoint at T488. Ours uses114,688 fewer physical families and470,016 fewer roles. Final independent Astra review is pending in STATUS.json; no strict increase over that concurrent candidate is claimed. | Assigned lead | Bounded result | Broader scope | |---|---|---| -| New staged-width inventory × chronology × whole helpers | One adjacent T37/T8 join swap; exact S8/T360 allocation, 1,321,920 literal roles, physical323,069. See [CHRONOLOGY.md](CHRONOLOGY.md). | No optimality or exhaustive chronology search claimed. Full release/review status is explicit. | +| New staged-width inventory × chronology × whole helpers | One adjacent T37/T8 join swap; exact S8/T360 allocation, 1,321,920 literal roles, physical323,069. See [CHRONOLOGY.md](CHRONOLOGY.md). | An independent2,551-pattern dual check attains the fixed-model relaxation and closes further packing gains on the same24-place release grid. Changed suppliers/geometry/interface/grid remain outside scope. | | Residual dictionary and one changed bridge | Astra YES/SCOPED_NEGATIVE for one address-independent bridge. Zero character forces the original bridge; concrete O4 rotation requires a character-dependent bridge and saves no rank. See [BRIDGE.md](BRIDGE.md). | Address-dependent changed-bridge construction remains INCONCLUSIVE. | | Five-plane shared-address cancellation | Astra YES/SCOPED_NEGATIVE for unchanged ZERO-frame native consumers/wrappers. Native scratch→target ADD exposes translation debt even if final scratch restores. See [CONSUMER.md](CONSUMER.md). | A redesigned literal producer/consumer/owner schedule remains INCONCLUSIVE. | -The new conditional endpoint, if admitted by the full release, is `0.001730096363528623534230−10^-46−10^-70`. It exceeds the stronger live predecessor #3626's reported `0.001730071864705779882540−10^-46−10^-70` by about`2.44988228437e-8`; exact rational normalized comparisons against both #3626 and #3624 are supplied. The selected conditional record remains`0.001672660197076918`. Challenged larger per-axis claims are not used as baselines. +The fully released conditional endpoint is `0.001730096363528623534230−10^-46−10^-70`. It exceeds the stronger live predecessor #3626's reported `0.001730071864705779882540−10^-46−10^-70` by about`2.44988228437e-8`; exact comparisons against #3626/#3624 and an exact normalized tie with concurrent #3633 are supplied. The primary contribution relative to the latest candidate is the smaller physical construction, not a new κ record. The selected conditional record remains`0.001672660197076918`. Challenged larger per-axis claims are not used as baselines. ## Reproduce diff --git a/research/three-kappa-leads/STATUS.json b/research/three-kappa-leads/STATUS.json index b134fb4401..6470d89c19 100644 --- a/research/three-kappa-leads/STATUS.json +++ b/research/three-kappa-leads/STATUS.json @@ -3,9 +3,42 @@ "priority_revision": 6, "scope": "Three explicitly assigned leads; no selected-frontier edit or public submission authorized", "lead1": { - "status": "exact aggregate found; literal and full release pending", + "status": "complete conditional release passed; final Astra review pending", "test": "one adjacent T37/T8 join swap; source-derived windows and optimistic fractional whole-helper allocation", - "replicas": 360 + "replicas": 360, + "candidate_root_lower": "0.001730096363528623534230", + "latest_comparator_pr": 3626, + "latest_comparator_head": "659fd5e7064d9466b668d7188cbb013b333a415a", + "completed": [ + "exact aggregate", + "fresh literal construction", + "retained literal all-role owner check", + "independent actual-native-frame all-role audit", + "both fresh five-stage changed native providers", + "physical audit", + "strict invoice", + "assembly", + "both outer checkers" + ], + "pending": [ + "fresh Astra medium review" + ], + "runtime": { + "full_replay": "/tmp/three-kappa-full", + "prepared": "/tmp/three-kappa-materialized", + "native": "/tmp/three-kappa-materialized/changed/native-py312", + "literal": "/tmp/three-kappa-t360-owners", + "python": "/tmp/three-kappa-env/bin/python" + }, + "proposed_outcome": "LOCAL_PROGRESS", + "freshness_correction": { + "pr": 3633, + "head": "72c268f113368ea0387d188225e3f81ba6d6ef73", + "same_endpoint": true, + "our_smaller_physical_stock": 114688, + "our_fewer_roles": 470016 + }, + "fixed_model_ceiling": "All2551patterns independently checked; no extra same24-place release-grid packing gain" }, "lead2": { "status": "concluded", diff --git a/research/three-kappa-leads/TASK.json b/research/three-kappa-leads/TASK.json index b49e2e0821..c4dd83a9ed 100644 --- a/research/three-kappa-leads/TASK.json +++ b/research/three-kappa-leads/TASK.json @@ -78,7 +78,7 @@ "upstream_refresh": { "canonical_main": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", "priority_revision": 6, - "checked_utc": "2026-10-18T11:15:53Z", - "overlap_refresh": "find_overlap --task independent-moment attempted; gh unavailable so remote coverage null. Public GitHub REST live open100 updated PRs plus relevant heads/comments and Discussion web pages checked separately. PR3626 now strongest checked unchallenged reported candidate; not a complete novelty survey." + "checked_utc": "2026-10-18T11:42:53Z", + "overlap_refresh": "find_overlap --task independent-moment attempted; gh unavailable so remote coverage null. Public GitHub REST live open100 updated PRs plus relevant heads/comments and Discussion web pages checked separately. PR3626 now strongest checked unchallenged reported candidate; not a complete novelty survey. Later live refresh found concurrent #3633 same endpoint and #3630 all-T ceiling. Scope changed to smaller frontier match plus fixed-model stopping result; no strict latest kappa increase." } } diff --git a/research/three-kappa-leads/VALIDATION.json b/research/three-kappa-leads/VALIDATION.json new file mode 100644 index 0000000000..87793e4b04 --- /dev/null +++ b/research/three-kappa-leads/VALIDATION.json @@ -0,0 +1,55 @@ +{ + "status": "PASS_COMPLETE_CONDITIONAL_RELEASE_PENDING_ASTRA_LEAD1", + "endpoint": "0.001730096363528623534230 - 10^-46 - 10^-70", + "replicas": 360, + "roles": 1321920, + "physical": 323069, + "native_coverage": "Both changed providers freshly replayed through all five stages in this session; unchanged retained parent proofs authenticated explicitly.", + "full_release": "All seven original admission stages including final strict release passed.", + "executed_full_command": [ + "/tmp/three-kappa-env/bin/python", + "-B", + "research/three-kappa-leads/full_replay.py", + "--work", + "/tmp/three-kappa-full", + "--prepared", + "/tmp/three-kappa-materialized", + "--native", + "/tmp/three-kappa-materialized/changed/native-py312", + "--allocation", + "/tmp/three-kappa-t360-owners" + ], + "source_preparation": "Exact PR3624 portable materialize-only command executed; 648-source manifest reproduced.", + "native_command": "/tmp/three-kappa-env/bin/python -B /tmp/three-kappa-materialized/changed/prepare_extension_native.py --source /tmp/three-kappa-materialized/changed/source --retained-cache /tmp/three-kappa-materialized/predecessor/native-cache --retained-receipt /tmp/three-kappa-materialized/predecessor/NATIVE-RECEIPT.json --out /tmp/three-kappa-materialized/changed/native-py312 --jobs 1", + "fresh_one_command_cold_cli_executed": false, + "disclosure": "The complete fresh no-reuse CLI is supplied but not executed end-to-end; the actual complete release explicitly reused same-session fresh changed-native caches and prepared source/allocation. Added prepared-reuse authentication was separately checked after the executed entry started.", + "initial_environment_attempt": "Python3.11 user-site NumPy was unavailable under isolated -I child mode; attempt failed at local replay and is not counted as complete native evidence. A dedicated Python3.12 venv resolved it.", + "environment": { + "assertions_enabled": true, + "dependency_versions": { + "gmpy2": null, + "mpmath": "1.3.0", + "numpy": "1.26.4", + "psutil": null, + "scipy": "1.15.3", + "sympy": "1.14.0" + }, + "executable": "/private/tmp/three-kappa-env/bin/python", + "python": "3.12.8" + }, + "latest_concurrent_comparator": { + "pr": 3633, + "head": "72c268f113368ea0387d188225e3f81ba6d6ef73", + "same_conditional_endpoint": true, + "replicas": 488, + "roles": 1791936, + "physical": 437757, + "our_reductions": { + "replicas": 128, + "roles": 470016, + "physical": 114688 + } + }, + "scope": "Conditional finite construction. Inherited all-size/compiler, uniform-cost, source/hosting, bootstrap, precision/tape/recovery, analytic and bit assumptions remain. No selected result edit.", + "evidence_manifest_sha256": "bbf5db27ce41a97f0918f47a3b6156bf67060ad7e77af406a409fe120d46231e" +} diff --git a/research/three-kappa-leads/VERIFY.json b/research/three-kappa-leads/VERIFY.json index 56ac9786bc..3d78ed1853 100644 --- a/research/three-kappa-leads/VERIFY.json +++ b/research/three-kappa-leads/VERIFY.json @@ -1,6 +1,6 @@ { "schema_version": 1, - "status": "draft", + "status": "ready", "python": "3.12", "requirements": [], "inputs": [ @@ -631,7 +631,7 @@ "{package}/verify.py" ], "timeout_seconds": 600, - "checks": "Exact source-derived T360 integer primal and five controls, rational root and normalized PR3624/3626 comparisons, four-axis/one-bridge and dirty native-consumer boundary checks, authenticated stored complete release receipts and semantic rejection controls. No literal expansion or fresh full native/physical/outer replay." + "checks": "Exact source-derived T360 integer primal and five controls, rational root and normalized PR3624/3626 comparisons, four-axis/one-bridge and dirty native-consumer boundary checks, authenticated stored complete release receipts and semantic rejection controls. No literal expansion or fresh full native/physical/outer replay. Independent all2551-pattern dual at exact upper24-place point; normalized tie against concurrent PR3633 and smaller physical stock." } ] } diff --git a/research/three-kappa-leads/ceiling_check.py b/research/three-kappa-leads/ceiling_check.py new file mode 100644 index 0000000000..87ff139aa6 --- /dev/null +++ b/research/three-kappa-leads/ceiling_check.py @@ -0,0 +1,58 @@ +"""Independent all-pattern rational dual check using retained PR3633 data. + +Reuses PR3624's rational moment engine, not the PR3633 ceiling interpreter. +The published primal/dual and attribution are retained byte-for-byte. +""" +from fractions import Fraction as Q +from collections import Counter,defaultdict +from itertools import product +import json,hashlib,math +from chronology_check import check,common,P,DEP +from dependency import load +B=load('ceiling_rational_bounds',DEP/'price.py') +def need(x,m): + if not x:raise ValueError(m) +def main(): + directory=P/'comparators';pins=common.read(directory/'PR3633-SOURCES.json') + for row in pins['files']:need(hashlib.sha256((directory/row['retained']).read_bytes()).hexdigest()==row['sha256'],'concurrent source binding') + cert=common.read(directory/'PR3633-ceiling-CEILING.json');old=common.read(directory/'PR3633-EXPECTED.json');d=common.read(P/'CHRONOLOGY-CANDIDATE.json');actual=check(d);T=actual['replicas'] + need(all(488*n==T*old['profile'][str(r)]for r,n in actual['profile'].items()),'exact normalized tie with PR3633') + widths=d['widths'];caps=cert['capacities'];need(widths==[4,5,6,7,8,9]and caps==[8,16,32,48],'fixed packing alphabet') + need(d['inventory']==cert['inventory']and d['local_profile']==cert['local_profile'],'fixed suppliers') + cap_counts=Counter() + for cap,lo,hi,n in d['groups']:cap_counts[cap]+=n*d['S'] + rhs=[Q(cap_counts[c],T)for c in caps]+[9*Q(d['inventory'][str(w)])for w in widths] + need(rhs==list(map(Q,cert['rhs_per_replica'])),'source-derived capacity and width RHS') + dual=[{int(r):Q(n)for r,n in row.items()}for row in cert['dual_by_constraint']] + def column(cap,q):return [int(cap==c)for c in caps]+list(q) + def reduced(cap,q): + left=cap-sum(w*n for w,n in zip(widths,q));co=defaultdict(Q) + if left:co[left]=1 + for amount,row in zip(column(cap,q),dual): + for r,n in row.items():co[r]-=amount*n + return {r:n for r,n in co.items()if n} + a=Q(common.read(P/'PRICE-EXPECTED.json')['root_interval'][1]);patterns=zero=strict=0;minimum=None;cache={} + for cap in caps: + for q in product(*(range(cap//w+1)for w in widths)): + if sum(w*n for w,n in zip(widths,q))>cap:continue + patterns+=1;co=reduced(cap,q) + if not co:zero+=1;continue + den=math.lcm(*(n.denominator for n in co.values()));key=tuple(sorted((r,int(n*den))for r,n in co.items())) + if key not in cache:cache[key]=B.interval(dict(key),a) + low=cache[key][0]/den;need(low>0,'exact dual reduced cost');strict+=1;minimum=low if minimum is None else min(minimum,low) + need((patterns,zero,strict)==(2551,12,2539),'complete finite pattern coverage') + primal=defaultdict(Q);idle=defaultdict(Q) + for row in cert['basis']: + cap,q,n=row['capacity'],row['counts'],Q(row['amount_per_replica']);need(n>=0 and not reduced(cap,q),'tight feasible primal pattern') + for i,v in enumerate(column(cap,q)):primal[i]+=n*v + left=cap-sum(w*v for w,v in zip(widths,q));need(left==row['idle']and left>=0,'primal capacity') + if left:idle[left]+=n + need([primal[i]for i in range(len(rhs))]==rhs,'primal full equalities') + profile=defaultdict(Q,{int(r):9*Q(n)for r,n in d['local_profile'].items()}) + for r,n in idle.items():profile[r]+=n + need(dict(profile)=={r:Q(n,T)for r,n in actual['profile'].items()},'T360 attains fractional optimum profile') + signed={r:int(4*n)for r,n in profile.items()};need(all((4*n).denominator==1 for n in profile.values()),'quarter lattice');signed[73]=-3584 + upper=B.interval(signed,a);need(upper[0]>0,'all relaxed profiles cost greater than one at upper grid point') + out={'status':'PASS_INDEPENDENT_FIXED_MODEL_CEILING_AND_T360_ATTAINMENT','patterns':patterns,'strict':strict,'symbolically_zero':zero,'minimum_reduced_cost_lower':str(Q((minimum*10**60).__floor__(),10**60)),'root_upper':str(a),'normalized_tie_pr3633':True,'physical_saving_vs_pr3633':437757-323069,'roles_saving_vs_pr3633':1791936-1321920,'remaining_24_place_release_grid_improvement':'NONE: all fixed-model roots below next grid point; T360 already attains largest allowed lower grid point','scope':'Fixed capacities/inventory/local bill, 9 calls and live896T, any positive integer T; chronology/hosting relaxed. No ceiling for changed supplier, geometry, interface or precision grid.'} + print(json.dumps(out,indent=2));return out +if __name__=='__main__':main() diff --git a/research/three-kappa-leads/comparators/PR3630-README.md b/research/three-kappa-leads/comparators/PR3630-README.md new file mode 100644 index 0000000000..0f46d29b9d --- /dev/null +++ b/research/three-kappa-leads/comparators/PR3630-README.md @@ -0,0 +1,121 @@ +# An all-T packing ceiling for the staged 644/660 supplier + +This package independently certifies a strict fixed-inventory ceiling +`C < 0.001730096363528623534231` for every positive integer replica count. +The proof covers all 2,551 packing patterns and explicitly relaxes chronology +and physical-family constraints. It does not assert attainability or bound +changed supplier constructions. + +A completed five-owner witness provides a concrete lower endpoint, but it is +**not the best reported candidate**. During final overlap review, +[PR3624](https://github.com/CrocSwap/integer-mult-bounds/pull/3624) at +`515a7c4490aa32ac3ca5014feb6f7da0d6952863` reported the higher +`C=.001730047552093344159584` using T450 and physical stock 403709. +Its pinned certificate and invoice retain the exact capacities, inventory, +local profile and live-stock scaling covered by this dual. Its reported full +release and hosted CI are distinct from our source-premise inspection; we have +not rerun its complete admission. Its portable fresh-native cold tail remains +unexecuted according to that source. The independently reproducible all-T +ceiling is the primary contribution here. + +This package changes five whole-helper owner destinations in the exact PR3605 +T740 construction. The complete literal differs in 24 rows, including 21 +chronological offset changes. Both local words, 408 ordered helper roles, +91 private zero buffers, source order and dispatch are unchanged. + +The fresh finite replay regenerates all 2,717,280 predecessor rows from the +compact integer primal, applies the sparse journal, and independently checks +every candidate identity, width, strict-lower/closed-upper source window, +physical family, active data-pair exclusion and chronological prefix. It derives + +``` +H={1:16417892,2:4835160,3:1540174,4:679320, + 5:143993,7:3,8:53280,48:283185}. +C in (0.001730006690311348872326,0.001730006690311348872327). +``` + +The released conditional endpoint is `K=C_lower-10^-46-10^-70`. This is a packing gain +of exactly `1.40772507025321e-10` over PR3605's rational K. The complete original strict release and separate final binding both pass. +The changed global idle operators, controller, invoice and prefix costs were +checked in that release; both unchanged local native providers were explicitly +authenticated reuse. See [CLAIM.json](CLAIM.json), [RELEASE.md](RELEASE.md) and +[STAGE-SCOPE.json](STAGE-SCOPE.json). + +The same replay independently certifies all 2,551 patterns in the applicable +changed-inventory relaxation. Its strict ceiling is +`0.001730096363528623534231` for every positive integer replica count with the +stated inventory, capacities, local bill, dimension and live stock. Candidate A +realizes about 0.1567% of the remaining relaxed gap above PR3605; attainment of +the relaxed ceiling is unknown. This is neither an optimizer claim nor a cap on +changed words or other supplier models. [PROOF.md](PROOF.md) gives the exact +model, sparse-delta proof and all-T scaling argument. + +## Reproduction + +With Python 3.12 and `numpy==2.5.4`, from the repository root: + +```sh +python3.12 -B scripts/research_package.py --package research/staged-644-660-owner-successor +``` + +The single registered command has a 600-second bound. It performs fresh owner +construction, complete independent audit, three exact moment methods, all 63 +modern strict inequalities and 17 controls, all 47 bootstrap inequalities and +four controls, the original four integer-primal controls, six journal controls, +five independent local owner-predicate controls, and the exhaustive dual. +The optimized-parent replay took 85.5 seconds on the author's Mac. +The recorded full-release binding is checked against that fresh arithmetic. +See [VALIDATION.md](VALIDATION.md). + +Direct Git-free replay of a committed export uses: + +```sh +python3.12 -O -B research/staged-644-660-owner-successor/verify.py --repo . --out /tmp/fresh-owner-successor +``` + +The output must be fresh and outside the package. The wrapper retains an +unoptimized child for inherited assertion-based validators and uses a private +bytecode namespace. Complete decompressed literal payloads, not regenerated +gzip streams, are the semantic admission gate. Immutable archived source bytes +retain both SHA256 and original Git blob identities; Git export reads disable +replacement refs. See [VENDOR.json](VENDOR.json) and [ADAPTATIONS.json](ADAPTATIONS.json). + +The long [reproduce.py](reproduce.py) wrapper retains the original source/native +preparation and full admission. It requires the historical Git objects named +in the archived predecessor FETCH.txt. It is separate from the bounded command; +its end-to-end cold tail has not been run. Authenticated source +and native-cache reuse in the completed actual release is explicitly different +from a fresh cold native run. + +## Scope and inherited premises + +This is a finite construction, exhaustive finite verification and written +scaling/concavity proof, not a formal-kernel theorem. Conditional transfer still +requires uniform all-size scalar/COPY/CLEAR/zero-allocation costs, a consistent +whole-call physical hosting and common source-label model, paid mutable-source +access and restoration, all private scratch and continuations, source-bound +native/phase/idle/controller invoices, internal rounding and precision bounds, +a finite-tape realization, retained bootstrap time, the PR559 recurrence and +correction/recovery hypotheses, analytic outer transfer, and the unchanged +joint BIT H1–H5 endpoint. The full profile includes every local and idle child; +physical stock 663549 must not replace live stock 663040 in the moment. + +## Open next questions + +The structured questions in [TASK.json](TASK.json) identify cold reproduction +and the need for a changed cost structure to exceed this narrow ceiling. +Repeated copies of the same complete profile preserve its normalized moment. +No further search or global optimality claim is part of this package. + +## Sources and credit + +Ross Richardson, with substantial OpenAI Codex assistance for construction, +independent AI reviews, packaging and verification; no independent human or +formal-kernel review is claimed. PR3605 at +`3efbb5de06a49ffeea6684482f2d3fe48cdca3fb` supplies the staged words and compact +primal. dcharb78's PR3133 coupled carrier folds and Jeremy Diviney's PR3148 owner/cap work, +the PR3531 positive-binomial engine, and Douglas Colkitt and Charles Bethin's +supplier/admission framework retain their source-specific attribution. Exact +notices are retained inside the minimal source archive. The standalone audit +is adapted from a separate all-row reviewer, not the owner producer. The dual +uses the separately reviewed Cartesian enumeration and positive-binomial proof. diff --git a/research/three-kappa-leads/comparators/PR3633-CREDITS.md b/research/three-kappa-leads/comparators/PR3633-CREDITS.md new file mode 100644 index 0000000000..50f57dcba3 --- /dev/null +++ b/research/three-kappa-leads/comparators/PR3633-CREDITS.md @@ -0,0 +1,9 @@ +# Credits and provenance + +Ross Richardson’s PR3605 supplies the staged-width operators, T37 lineage and integral-network allocation machinery. Our published T530 contribution PR3626 is the comparison baseline. This candidate reuses both the retained T8 chronology, also used in our T450 contribution PR3624, and the retained T16 chronology used in T530. + +The retained T16 chronology originates in PR3413 and is preserved in our PR3457/3465 provider-composition lineage. T16-PROVENANCE.json pins the actual PLAN and reconstruction source. This contribution supplies the combined chronology and newly solved allocation; it does not claim the constituent chronologies or count their prior gains twice. + +Retained machinery preserves its upstream contributor notices and exact sources, including the earlier rank-seven compiler/controller and conditional-release chain. Private optimizer tools are excluded. New material is Apache-2.0, prepared for hexapode with substantial OpenAI Codex assistance. No independent human or formal-kernel acceptance is claimed. + +T488 adds the three-stream chronology and joint allocation, using both exact retained T8 and T16 orders. Historical supplier modifications remain attributed upstream. The ceiling proof is a fixed-model allocation result, not a new operator. diff --git a/research/three-kappa-leads/comparators/PR3633-EXPECTED.json b/research/three-kappa-leads/comparators/PR3633-EXPECTED.json new file mode 100644 index 0000000000..ec74b8efce --- /dev/null +++ b/research/three-kappa-leads/comparators/PR3633-EXPECTED.json @@ -0,0 +1,25 @@ +{ + "replicas": 488, + "calls": 4392, + "roles": 1791936, + "physical": 437757, + "profile": { + "1": 10826280, + "2": 3188592, + "3": 1015650, + "4": 447984, + "5": 94794, + "8": 35136, + "48": 186782 + }, + "root_interval": [ + ".001730096363528623534230", + ".001730096363528623534231" + ], + "candidate_endpoint": "17300963635286235342299999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000", + "frontier_status": "Published PR3626 complete source-bound conditional release; both hosted checks passed", + "frontier_sha256": "9f27717c3ddbf5eb7b9773e1b2887ff3899d354019139d916c9b8004aee2e097", + "scope": "Finite profile expectation; no completed T488 admission.", + "frontier_pr": 3626, + "frontier_head": "659fd5e7064d9466b668d7188cbb013b333a415a" +} diff --git a/research/three-kappa-leads/comparators/PR3633-SOURCES.json b/research/three-kappa-leads/comparators/PR3633-SOURCES.json new file mode 100644 index 0000000000..6fe192ab9c --- /dev/null +++ b/research/three-kappa-leads/comparators/PR3633-SOURCES.json @@ -0,0 +1,39 @@ +{ + "pr": 3633, + "head": "72c268f113368ea0387d188225e3f81ba6d6ef73", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/3633", + "checked_utc": "2026-10-18T11:42:53Z", + "status": "concurrent reported complete conditional release; independent source profile and dual checked here, not its full release", + "files": [ + { + "original_path": "research/staged-width-t488/EXPECTED.json", + "retained": "PR3633-EXPECTED.json", + "sha256": "2f0113dab9dedd5941b1fdee737e6b928539cc78034877c0082a812832f45d3e", + "git_blob": "ec74b8efceff931e82db0b05140bcafd6dd99ecc" + }, + { + "original_path": "research/staged-width-t488/CREDITS.md", + "retained": "PR3633-CREDITS.md", + "sha256": "e19ff59959eb0f4d609beab70de9d75ac4e2682830a4d4d44f79584bcb9bbc67", + "git_blob": "50f57dcba386f4f3304cbc049fd04ff0949ddd66" + }, + { + "original_path": "research/staged-width-t488/ceiling/CEILING.json", + "retained": "PR3633-ceiling-CEILING.json", + "sha256": "a26bf26118222a5bcb6bf9f698d6b8b86003ff7b1479fd68b31f67c74945e460", + "git_blob": "8bbec230ddf8498ac55c9ce32adabe813bf07eda" + }, + { + "original_path": "research/staged-width-t488/ceiling/PROOF.md", + "retained": "PR3633-ceiling-PROOF.md", + "sha256": "89abcc2df5185b98f0fcfb63f79ea6da18694976e3f421030d2a0284a3927333", + "git_blob": "d214b71b434666ffd13c54937a0247c59cab3e7d" + }, + { + "original_path": "research/staged-width-t488/ceiling/verify_ceiling.py", + "retained": "PR3633-ceiling-verify_ceiling.py", + "sha256": "deefa40638fe17af4d66c6d3fc7a19d3ef1f7146f95203352110d479c8ad47bd", + "git_blob": "e2ead1cbd22b1aa8f6a7b5eb135d6e2399d40a51" + } + ] +} diff --git a/research/three-kappa-leads/comparators/PR3633-ceiling-CEILING.json b/research/three-kappa-leads/comparators/PR3633-ceiling-CEILING.json new file mode 100644 index 0000000000..8bbec230dd --- /dev/null +++ b/research/three-kappa-leads/comparators/PR3633-ceiling-CEILING.json @@ -0,0 +1,272 @@ +{ + "exponent": "1994665302554255138531/1152921504606846976000000", + "basis": [ + { + "id": 1, + "capacity": 8, + "counts": [ + 0, + 0, + 0, + 0, + 1, + 0 + ], + "idle": 0, + "amount_per_replica": "672" + }, + { + "id": 12, + "capacity": 16, + "counts": [ + 0, + 0, + 0, + 1, + 0, + 1 + ], + "idle": 0, + "amount_per_replica": "448" + }, + { + "id": 48, + "capacity": 32, + "counts": [ + 0, + 0, + 0, + 0, + 0, + 3 + ], + "idle": 5, + "amount_per_replica": "57/4" + }, + { + "id": 62, + "capacity": 32, + "counts": [ + 0, + 0, + 0, + 1, + 2, + 1 + ], + "idle": 0, + "amount_per_replica": "39/2" + }, + { + "id": 66, + "capacity": 32, + "counts": [ + 0, + 0, + 0, + 2, + 0, + 2 + ], + "idle": 0, + "amount_per_replica": "1/4" + }, + { + "id": 79, + "capacity": 32, + "counts": [ + 0, + 0, + 1, + 0, + 1, + 2 + ], + "idle": 0, + "amount_per_replica": "162" + }, + { + "id": 115, + "capacity": 32, + "counts": [ + 0, + 1, + 0, + 0, + 0, + 3 + ], + "idle": 0, + "amount_per_replica": "18" + }, + { + "id": 206, + "capacity": 32, + "counts": [ + 1, + 0, + 0, + 0, + 0, + 3 + ], + "idle": 1, + "amount_per_replica": "234" + }, + { + "id": 444, + "capacity": 48, + "counts": [ + 0, + 0, + 0, + 0, + 0, + 0 + ], + "idle": 48, + "amount_per_replica": "1531/4" + }, + { + "id": 449, + "capacity": 48, + "counts": [ + 0, + 0, + 0, + 0, + 0, + 5 + ], + "idle": 3, + "amount_per_replica": "261/4" + } + ], + "dual_by_constraint": [ + { + "5": "1/4", + "48": "3/20", + "3": "-3/20" + }, + { + "5": "1/2", + "48": "3/10", + "3": "-3/10" + }, + { + "5": "1", + "48": "3/5", + "3": "-3/5" + }, + { + "48": "1" + }, + { + "5": "-1", + "1": "1" + }, + { + "5": "-1" + }, + { + "5": "-3/4", + "48": "-1/20", + "3": "1/20" + }, + { + "5": "-1/2", + "48": "-1/10", + "3": "1/10" + }, + { + "5": "-1/4", + "48": "-3/20", + "3": "3/20" + }, + { + "48": "-1/5", + "3": "1/5" + } + ], + "rhs_per_replica": [ + "672", + "448", + "448", + "448", + "234", + "18", + "162", + "468", + "873", + "1917" + ], + "full_profile_per_replica": { + "1": "22185", + "2": "6534", + "3": "8325/4", + "4": "918", + "5": "777/4", + "8": "72", + "48": "1531/4" + }, + "schema": "fixed-supplier-packing-ceiling-v1", + "widths": [ + 4, + 5, + 6, + 7, + 8, + 9 + ], + "capacities": [ + 8, + 16, + 32, + 48 + ], + "inventory": { + "4": 26, + "5": 2, + "6": 18, + "7": 52, + "8": 97, + "9": 213 + }, + "local_profile": { + "1": 2439, + "2": 726, + "3": 224, + "4": 102, + "5": 20, + "8": 8 + }, + "root_interval": [ + "199466530255425513853/115292150460684697600000", + "1994665302554255138531/1152921504606846976000000" + ], + "scaled_root_profile": { + "1": 88740, + "2": 26136, + "3": 8325, + "4": 3672, + "5": 777, + "8": 288, + "48": 1531, + "73": -3584 + }, + "scope": "Fixed changed PR3605 supplier, four capacity classes, nine calls per replica; chronology relaxed for dual. Literal realization/native/outer admission and other suppliers/geometries are separate.", + "candidate_scientific_fields": [ + "baseT", + "S", + "order", + "dispatch", + "groups", + "widths", + "inventory", + "local_profile", + "x", + "z", + "profile" + ], + "candidate_scientific_sha256": "a40308d5e7dccbd1ad219a8497c96747423ba6a395ee4f77b68c89087acdfca1" +} diff --git a/research/three-kappa-leads/comparators/PR3633-ceiling-PROOF.md b/research/three-kappa-leads/comparators/PR3633-ceiling-PROOF.md new file mode 100644 index 0000000000..d214b71b43 --- /dev/null +++ b/research/three-kappa-leads/comparators/PR3633-ceiling-PROOF.md @@ -0,0 +1,28 @@ +# Packing ceiling for the changed 408-helper supplier + +This certificate concerns one fixed supplier and capacity model. The widths are (4,5,6,7,8,9), their per-call inventory is (26,2,18,52,97,213), and the supplier's paid local profile is 2439H1+726H2+224H3+102H4+20H5+8H8. There are nine calls per replica and respectively (672,448,448,448) bins of capacities (8,16,32,48). Here H_r(a)=r^(1−a). + +Every nonnegative integer pattern that fits one bin is enumerated: 2,551 patterns. The certificate contains a feasible rational primal basis and ten dual coefficients, each expressed as a rational linear combination of H_r. At the recorded rational upper root endpoint, the verifier proves all dual inequalities by rational log/exponential intervals. Twelve reduced costs vanish symbolically; the other 2,539 are strictly positive. The primal uses tight patterns and satisfies all ten equalities exactly, establishing the fractional minimum at that exponent. + +The supplied T488 aggregate is bound by its canonical scientific-field SHA-256 (baseT, S, order, dispatch, groups, widths, inventory, local_profile, x, z, profile). The verifier independently checks its bin counts, width totals, idle cost, full paid profile, and tightness of every used pattern. Its per-replica profile equals the primal optimum: + +22185H1 + 6534H2 + (8325/4)H3 + 918H4 + (777/4)H5 + 72H8 + (1531/4)H48. + +The certificate also bounds the zero of this profile minus 896H73, approximately 0.0017300963635286236. Both endpoint signs are independently recomputed. After division by H73, every positive term is a positive multiple of (r/73)^(1−a), which is strictly increasing in a because r<73; therefore the bracket contains its unique zero. The dual certificate is explicitly evaluated at the upper endpoint, not asserted uniformly for arbitrary exponents. + +This removes chronology, source windows, family constraints and integrality from the packing lower bound. Attainment by the aggregate is useful mathematical evidence, but literal-owner correctness and full native/outer admission are separate checks. No optimality claim concerns other suppliers, capacities, geometries, or recursive interfaces. + +## Replay + +With Python's standard library only: + + python -I -B verify_ceiling.py CANDIDATE.json CEILING.json --out RESULT.json + python -I -B test_ceiling.py CANDIDATE.json + +The candidate path is explicit. There are no imports from a checkout or private tooling directory, no optimizer dependencies, and no network/Git operations. JSON whitespace and non-scientific metadata do not affect the candidate binding; the complete scientific-field projection is fixed by the verifier. The private optimization pipeline is intentionally absent. + +## Attribution + +The width change is the staged-release construction in PR3605. The capacity model and finite-pattern primal/dual approach descend from the retained coupled-carrier-cap740 certificate. T488 combines the retained T37 chronology with the T8 and T16 chronologies and supplies a newly reconstructed aggregate. This component certifies the resulting fixed-model packing equality; it does not claim ownership of the supplier or predecessor chronologies. + +At the certified upper endpoint, the dual lower bound makes every admissible profile’s normalized cost at least one. Since all positive occupied ranks are strictly below73, each such normalized cost increases with κ; no larger κ can satisfy the required cost inequality in this fixed model. This conclusion uses the dual only at that endpoint, not a uniform dual certificate across κ. diff --git a/research/three-kappa-leads/comparators/PR3633-ceiling-verify_ceiling.py b/research/three-kappa-leads/comparators/PR3633-ceiling-verify_ceiling.py new file mode 100644 index 0000000000..e2ead1cbd2 --- /dev/null +++ b/research/three-kappa-leads/comparators/PR3633-ceiling-verify_ceiling.py @@ -0,0 +1,110 @@ +"""Solver-free exact primal/dual comparison for a declared fixed packing model.""" +import argparse,json,hashlib,math +from fractions import Fraction as F +from collections import Counter,defaultdict +from pathlib import Path + +from functools import lru_cache +D=10**60 +def round_bounds(lo,hi): + return F((lo*D).__floor__(),D),F((hi*D).__ceil__(),D) +@lru_cache(None) +def log_unit(q): + z=(q-1)/(q+1);z2=z*z;power=z;total=F(0);n=0 + while True: + total+=2*power/(2*n+1);n+=1;power*=z2 + tail=2*power/((2*n+1)*(1-z2)) + if tail=0 else high);upper+=c*(high if c>=0 else low) + return {'a':str(a),'lower':str(lower),'upper':str(upper),'decision':'strict_decrease'if upper<0 else 'strict_increase'if lower>0 else 'undetermined_or_zero','scope':'exact finite sum delta[n_r]*r^(1-a); no hosting/native/outer or kappa claim'} + +def verify(candidate,certificate): + d=json.loads(Path(candidate).read_text());c=json.loads(Path(certificate).read_text());T=d['baseT']*d['S'];W=d['widths'];caps=sorted({g[0]for g in d['groups']});a=F(c['exponent']) + fields=['baseT','S','order','dispatch','groups','widths','inventory','local_profile','x','z','profile'] + if c['candidate_scientific_fields']!=fields:raise ValueError('scientific projection fields') + canonical=json.dumps({k:d[k]for k in fields},sort_keys=True,separators=(',',':')).encode() + if hashlib.sha256(canonical).hexdigest()!=c['candidate_scientific_sha256']:raise ValueError('candidate payload binding') + if W!=c['widths'] or caps!=c['capacities'] or d['inventory']!=c['inventory'] or d['local_profile']!=c['local_profile']:raise ValueError('supplier/capacity model') + if c['exponent']!=c['root_interval'][1]:raise ValueError('root-upper exponent binding') + if len(d['order'])!=9*d['baseT']:raise ValueError('nine-call normalization') + counts=Counter() + for cap,l,h,n in d['groups']:counts[cap]+=n*d['S'] + rhs=[F(counts[cap],T)for cap in caps]+[9*F(d['inventory'][str(w)])for w in W] + if rhs!=list(map(F,c['rhs_per_replica'])):raise ValueError('model RHS mismatch') + dual=[{int(k):F(v)for k,v in row.items()}for row in c['dual_by_constraint']] + if len(dual)!=len(rhs):raise ValueError('dual dimension') + def column(cap,q):return [int(cap==cc)for cc in caps]+list(q) + def rc(cap,q): + idle=cap-sum(w*n for w,n in zip(W,q));co=defaultdict(F) + if idle:co[idle]+=1 + for n,row in zip(column(cap,q),dual): + for k,v in row.items():co[k]-=n*v + return {k:v for k,v in co.items()if v} + patterns=[] + def walk(cap,i,left,q): + if i==len(W):patterns.append((cap,tuple(q)));return + for n in range(left//W[i]+1):walk(cap,i+1,left-n*W[i],q+[n]) + for cap in caps:walk(cap,0,cap,[]) + cache={};tight=0;lower=[] + for cap,q in patterns: + co=rc(cap,q) + if not co:tight+=1;continue + scale=math.lcm(*(v.denominator for v in co.values()));key=tuple(sorted((k,int(v*scale))for k,v in co.items())) + if key not in cache:cache[key]=interval(dict(key),a) + low=F(cache[key]['lower'])/scale + if low<=0:raise ValueError('dual inequality not certified') + lower.append(low) + primal=Counter();primal_idle=defaultdict(F) + for b in c['basis']: + q=b['counts'];cap=b['capacity'];n=F(b['amount_per_replica']) + if n<0 or (cap,tuple(q))not in patterns:raise ValueError('invalid primal pattern') + for i,v in enumerate(column(cap,q)):primal[i]+=n*v + idle=cap-sum(w*k for w,k in zip(W,q)) + if idle!=b['idle'] or rc(cap,q):raise ValueError('basis not tight') + if idle:primal_idle[idle]+=n + if [primal[i]for i in range(len(rhs))]!=rhs:raise ValueError('primal constraints') + actual_bins=Counter();actual_widths=Counter();actual_idle=Counter() + for g,q,n in d['x']: + if type(n)is not int or n<=0 or len(q)!=len(W) or any(type(v)is not int or v<0 for v in q):raise ValueError('integer candidate pattern') + cap=d['groups'][g][0];idle=cap-sum(w*v for w,v in zip(W,q)) + if idle<0:raise ValueError('candidate capacity') + actual_bins[g]+=n + for w,v in zip(W,q):actual_widths[w]+=n*v + if idle:actual_idle[idle]+=n + if rc(d['groups'][g][0],q):raise ValueError('candidate uses non-tight pattern') + if any(actual_bins[g]!=row[3]*d['S'] for g,row in enumerate(d['groups'])):raise ValueError('candidate bin counts') + if any(actual_widths[w]!=9*T*d['inventory'][str(w)]for w in W):raise ValueError('candidate width inventory') + rebuilt=Counter({int(k):9*T*v for k,v in d['local_profile'].items()});rebuilt.update(actual_idle) + if dict(rebuilt)!={int(k):v for k,v in d['profile'].items()}:raise ValueError('candidate paid profile') + expected=defaultdict(F,{int(k):9*F(v)for k,v in d['local_profile'].items()}) + for k,v in primal_idle.items():expected[k]+=v + actual={int(k):F(v,T)for k,v in d['profile'].items()} + if dict(expected)!=actual:raise ValueError('candidate/profile ceiling mismatch') + rootpoly={int(k):int(v)for k,v in c['scaled_root_profile'].items()} + if rootpoly!={**{k:int(v*4)for k,v in actual.items()},73:-3584}:raise ValueError('root polynomial model') + low=interval(rootpoly,F(c['root_interval'][0]));high=interval(rootpoly,F(c['root_interval'][1])) + if F(low['upper'])>=0 or F(high['lower'])<=0:raise ValueError('root signs') + return {'status':'PASS_EXACT_ATTAINED_FIXED_MODEL_CEILING','patterns':len(patterns),'tight':tight,'strict':len(patterns)-tight,'minimum_strict_reduced_cost':str(min(lower)),'rhs_per_replica':list(map(str,rhs)),'profile_per_replica':{str(k):str(v)for k,v in actual.items()},'exponent':str(a),'replicas':T,'pins':{str(Path(p).resolve()):hashlib.sha256(Path(p).read_bytes()).hexdigest()for p in[candidate,certificate,__file__]},'root_interval':c['root_interval'],'root_signs':[low['decision'],high['decision']],'scope':'All nonnegative packing patterns for these six widths/four capacities, fixed supplier and nine-call normalization. Exact fractional optimum at stated exponent, attained by candidate aggregate. Source-clock provenance, literal realization, full native admission, changed suppliers and other geometries are separate.'} +if __name__=='__main__': + p=argparse.ArgumentParser();p.add_argument('candidate');p.add_argument('certificate');p.add_argument('--out',required=True);a=p.parse_args();r=verify(a.candidate,a.certificate);Path(a.out).write_text(json.dumps(r,indent=2)+'\n');print(r['status'],r['patterns'],r['tight']) diff --git a/research/three-kappa-leads/evidence/EVIDENCE-PINS.json b/research/three-kappa-leads/evidence/EVIDENCE-PINS.json new file mode 100644 index 0000000000..9a03281c1c --- /dev/null +++ b/research/three-kappa-leads/evidence/EVIDENCE-PINS.json @@ -0,0 +1,23 @@ +{ + "scope": "Authenticated stored completed execution; not a fresh replay", + "files": { + "FILL-BINDING.json": "53d6ad1803352e697ff0fb368ce050ffdcb490274c4b5ab91466e4cb6b696106", + "FINAL-RELEASE.log": "2ad8d7bac4060c7633952df5947f0ff479f4f4210b7af1f29a3c548a34c0a0d1", + "FIRST-ENVIRONMENT-CHILD.log": "b9a5cfcd2aaf030c94fadb2b50137ef2ac8554ec3753d3c11e7dd4e4ca167370", + "FIRST-ENVIRONMENT-FAILURE.log": "d9074414e05cf737cf357d17263731b9e170e195d51105348786b06773af5139", + "FULL-ADMISSION.log": "2a53dea33dc76edd44fbaa28e9d904433fa86aae31dfad7486aca6b157e8e588", + "FULL-ENTRY-RESULT.json": "fb87e89ef9bd5d45696b16189f662f3849502d591a2f0aa8ee5c1ea59bc1ef90", + "INDEPENDENT-OWNERS.json": "a3ca166e604b7227f2c50a47709ecb79b7899fdace8d8d1a618648593f8c2c3b", + "LITERAL-REPLAY.json": "2e0663edb81e206beeac476e3e41816417a059fd5b4ff05aeae6a6d642b777e3", + "NATIVE-COMMANDS-base.json": "ad0d73a2b6d2c57bb9069af09804fc521bcac95a78f35440612dc6ef87753289", + "NATIVE-COMMANDS-extra.json": "10904894e72476c90fa265976778c3c8866d27745989c3c77167e338faaf91e3", + "NATIVE-ENVIRONMENT.json": "669f77d5bcd2ad1793c58b6e94e85fa875cd9cbd54d23dc5be085ddf5fed5e04", + "NATIVE-RECEIPT.json": "063ca4d8c1486786088a2fbf40101bd9ed0d32e393139edbfdaa290255a48a00", + "NATIVE-RESULT-base.json": "e4ff061307943f01109dbc6334af8f72abb43e2b11e82f6543883bdcfdb25310", + "NATIVE-RESULT-extra.json": "41d1613ff10b4d677a8477840f8a9e325dfd17327108ecf5a2d628596bb2cdff", + "NATIVE-SUMMARY.log": "d7581123b0f3330f2598e7758ccbca466018d2599124fc6ceb1b678a9ee27dec", + "PREFIX-AND-INVOICE.json": "02ea41b3b3ea1d76ae2084f3f8822202b9e0f8008afcef56b2ae47d66147ef2f", + "RELEASE-RECEIPT.json": "5c029c2bc559f1fa3b48abbe6bee8f131ab397381a95c98e436532fdfe83e597", + "RESULT.json": "4567e1e998997aca156ac58dcff81aa5beb08e56cd7546e9e560788a9935f07d" + } +} diff --git a/research/three-kappa-leads/evidence/FILL-BINDING.json b/research/three-kappa-leads/evidence/FILL-BINDING.json new file mode 100644 index 0000000000..9a317dcdc6 --- /dev/null +++ b/research/three-kappa-leads/evidence/FILL-BINDING.json @@ -0,0 +1,7 @@ +{ + "literal_sha256": "8ea003fd8119c57140cc710e106cce56b00a245bbaf10813813d34744ecf90b1", + "admission_sha256": "c55e03fadd1264c70bfa28711d79eaa28b8efd46e3e2306f9719e629254fcd0e", + "literal_payload_sha256": "9c7288f6b65ea8b4509b658c7df881963410c144e112b6c8accf03283ddf2828", + "semantic_equality": true, + "rows": 1321920 +} diff --git a/research/three-kappa-leads/evidence/FULL-ENTRY-RESULT.json b/research/three-kappa-leads/evidence/FULL-ENTRY-RESULT.json new file mode 100644 index 0000000000..00128ac0bb --- /dev/null +++ b/research/three-kappa-leads/evidence/FULL-ENTRY-RESULT.json @@ -0,0 +1,87 @@ +{ + "status": "PASS_T360_JOIN_SWAP_COMPLETE_CONDITIONAL_RELEASE", + "kappa": "17300963635286235342299999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000", + "kappa_decimal": "0.0017300963635286235342299999999999999999999998999999999999999999999999", + "comparator_pr": 3624, + "comparator_head": "515a7c4490aa32ac3ca5014feb6f7da0d6952863", + "replicas": 360, + "roles": 1321920, + "physical": 323069, + "profile": { + "1": 7986600, + "2": 2352240, + "3": 749250, + "4": 330480, + "48": 137790, + "5": 69930, + "8": 25920 + }, + "fresh_native_reused": true, + "prepared_source_reused": true, + "native_receipt_sha256": "063ca4d8c1486786088a2fbf40101bd9ed0d32e393139edbfdaa290255a48a00", + "release_receipt_sha256": "5c029c2bc559f1fa3b48abbe6bee8f131ab397381a95c98e436532fdfe83e597", + "stages": [ + { + "name": "independent-native-frame-owners", + "command": [ + "/private/tmp/three-kappa-env/bin/python", + "-B", + "/Users/temp/.codex/worktrees/three-kappa-leads/integer-mult-bounds/research/three-kappa-leads/audit_entry.py", + "/private/tmp/three-kappa-t360-owners", + "/private/tmp/three-kappa-materialized/changed/native-py312/native-cache", + "/private/tmp/three-kappa-full/INDEPENDENT-OWNERS.json" + ], + "exit_code": 0, + "log_sha256": "d702529c157fed04b4272acca826560f0f2aa5ebaf21024dd31f5df53eb269e8" + }, + { + "name": "full-admission", + "command": [ + "/private/tmp/three-kappa-env/bin/python", + "-B", + "/private/tmp/three-kappa-materialized/changed/admit_extension.py", + "--source", + "/private/tmp/three-kappa-materialized/changed/source", + "--fill", + "/private/tmp/three-kappa-full/FILL-legacy.json.gz", + "--order", + "/private/tmp/three-kappa-t360-owners/ORDER.json", + "--dispatch", + "/private/tmp/three-kappa-t360-owners/DISPATCH.json", + "--native-cache", + "/private/tmp/three-kappa-materialized/changed/native-py312/native-cache", + "--native-receipt", + "/private/tmp/three-kappa-materialized/changed/native-py312/NATIVE-RECEIPT.json", + "--work", + "/private/tmp/three-kappa-full/admission", + "--replica-helper-dir", + "/private/tmp/three-kappa-materialized/predecessor/helpers", + "--reconstructor", + "/private/tmp/three-kappa-materialized/predecessor/helpers/reconstruct_replica.py", + "--comparison-claim", + "/private/tmp/three-kappa-materialized/predecessor/PR2969-CLAIM.json", + "--blocknorm-checker", + "/private/tmp/three-kappa-materialized/predecessor/adapters/extension_blocknorm.py", + "--source-profile", + "staged3605", + "--comparison-profile", + "pr2969", + "--jobs", + "1" + ], + "exit_code": 0, + "log_sha256": "2a53dea33dc76edd44fbaa28e9d904433fa86aae31dfad7486aca6b157e8e588" + }, + { + "name": "exact-price", + "command": [ + "/private/tmp/three-kappa-env/bin/python", + "-B", + "/Users/temp/.codex/worktrees/three-kappa-leads/integer-mult-bounds/research/three-kappa-leads/price_check.py" + ], + "exit_code": 0, + "log_sha256": "bf08205c7306761ec1cfebc4ec8fc35ef1142cd58d8290807b8c7013134d301f" + } + ], + "scope": "Conditional finite construction and modern outer arithmetic. Exact inherited theorem obligations remain. Both native providers explicitly reused from authenticated fresh five-stage runs." +} diff --git a/research/three-kappa-leads/evidence/INDEPENDENT-OWNERS.json b/research/three-kappa-leads/evidence/INDEPENDENT-OWNERS.json new file mode 100644 index 0000000000..e87f12a19b --- /dev/null +++ b/research/three-kappa-leads/evidence/INDEPENDENT-OWNERS.json @@ -0,0 +1,41 @@ +{ + "calls": 3240, + "controls": [ + "duplicate helper", + "strict lower endpoint used as available", + "same-call family reused", + "unpaid chronological hole", + "one unpaid rank1 child" + ], + "idle": { + "1": 84240, + "3": 23490, + "5": 5130, + "48": 137790 + }, + "input_sha256": { + "/Users/temp/.codex/worktrees/three-kappa-leads/integer-mult-bounds/research/rank7-joint-endframes/allocation/vendor/PLAN.json.gz": "d566cfb87b71639d4138e1f89b543e2dd6a7772070226a2a14c799a6835bf21e", + "/Users/temp/.codex/worktrees/three-kappa-leads/integer-mult-bounds/research/rank7-joint-endframes/allocation/vendor/TEMPLATE.json.gz": "21297b20f1f2dc76eb9dd8124416068c3cb096bab9df17fa4da19bc68dfe082e", + "/private/tmp/three-kappa-materialized/changed/native-py312/native-cache/735c540b1fe29d0ceeb4d2f304ec941e5f2bd3bc92bafc8cce2b4f9a67a3b653/local/CANONICAL-WORD.json.gz": "b87f174cd72d194f23c075fd82b2fe42f5e9606e8500e4dfa23c31e8655c8de5", + "/private/tmp/three-kappa-materialized/changed/native-py312/native-cache/886338fc32da14f3389a82c8120a1bcf9c5e2f0ec3e9b2d377fdae809e1d977f/local/CANONICAL-WORD.json.gz": "8276f3d7f6f85bf3d678832f63baabb38550d11ed8f3841aa47020121e8e4e82", + "/private/tmp/three-kappa-t360-owners/DISPATCH.json": "8064e69e9be904bd81219fdde3b895adbad8d5c43c3a97de46a3aebbdb4424da", + "/private/tmp/three-kappa-t360-owners/FILL.json.gz": "8ea003fd8119c57140cc710e106cce56b00a245bbaf10813813d34744ecf90b1", + "/private/tmp/three-kappa-t360-owners/ORDER.json": "e14d3c8b183f82ea1f8b1cbdf70d2fb07e450340ebb51815756b1248aa0609d6", + "/private/tmp/three-kappa-t360-owners/PROFILE.json": "c31b921f5767c5f1f7d9d75f50c55eab1dc6f8e3143453058b0b13b115582ec4" + }, + "physical": 323069, + "profile": { + "1": 7986600, + "2": 2352240, + "3": 749250, + "4": 330480, + "5": 69930, + "8": 25920, + "48": 137790 + }, + "replicas": 360, + "roles": 1321920, + "scope": "Independent finite vectorized audit; no producer, solver, retained owner checker or reconstructor imports. Actual native frames are authenticated input data; their separate full operator proofs are required.", + "script_sha256": "89c27f61ae3e6d2bdd4c469ac5b99d4f955a443c5e04c74e568c12093510efbe", + "status": "PASS_INDEPENDENT_LITERAL_OWNER_WINDOWS_FAMILIES_PREFIXES_AND_INVOICE" +} diff --git a/research/three-kappa-leads/evidence/LITERAL-REPLAY.json b/research/three-kappa-leads/evidence/LITERAL-REPLAY.json new file mode 100644 index 0000000000..e50521b054 --- /dev/null +++ b/research/three-kappa-leads/evidence/LITERAL-REPLAY.json @@ -0,0 +1,58 @@ +{ + "calls": 3240, + "decomposition": { + "flows": 2835, + "max_edges": 6544, + "max_nodes": 3281 + }, + "fresh_retained_owner_check": true, + "materialized": { + "payload_sha256": "9c7288f6b65ea8b4509b658c7df881963410c144e112b6c8accf03283ddf2828", + "rows": 1321920, + "sha256": "8ea003fd8119c57140cc710e106cce56b00a245bbaf10813813d34744ecf90b1" + }, + "owner_check": { + "calls": 3240, + "idle": { + "1": 84240, + "3": 23490, + "5": 5130, + "48": 137790 + }, + "live": 322560, + "physical": 323050, + "profile": { + "1": 7986600, + "2": 2352240, + "3": 749250, + "4": 330480, + "5": 69930, + "8": 25920, + "48": 137790 + }, + "rank_mass": 23431680, + "replicas": 360, + "roles": 1321920 + }, + "physical": 323069, + "primal": { + "calls": 3240, + "physical": 323069, + "profile": { + "1": 7986600, + "2": 2352240, + "3": 749250, + "4": 330480, + "5": 69930, + "8": 25920, + "48": 137790 + }, + "replicas": 360, + "roles": 1321920, + "status": "PASS_EXACT_AGGREGATE_NOT_LITERAL_OR_FULL_RELEASE" + }, + "replicas": 360, + "roles": 1321920, + "scope": "Fresh join-swapT45S8 exact integer networks and literal generation. No predecessor owner receipt is reused as candidate proof. Fresh independent literal audit and full release required.", + "status": "PASS_STANDARD_LIBRARY_SEMANTIC_LITERAL_REPLAY" +} diff --git a/research/three-kappa-leads/evidence/NATIVE-COMMANDS-base.json b/research/three-kappa-leads/evidence/NATIVE-COMMANDS-base.json new file mode 100644 index 0000000000..49c84aca0b --- /dev/null +++ b/research/three-kappa-leads/evidence/NATIVE-COMMANDS-base.json @@ -0,0 +1,85 @@ +[ + { + "step": "native-bw_transport.py", + "exit_code": 0, + "seconds": 0.6289132920064731, + "command": [ + "/private/tmp/three-kappa-env/bin/python", + "-I", + "-B", + "/private/tmp/three-kappa-materialized/changed/native-py312/fresh-base/source/native/new/code/borrow/bw_transport.py", + "/private/tmp/three-kappa-materialized/changed/native-py312/fresh-base/INPUT.json.gz", + "/private/tmp/three-kappa-materialized/changed/native-py312/fresh-base/native/local" + ] + }, + { + "step": "ledgers-bw_emit.py", + "exit_code": 0, + "seconds": 0.7030180840083631, + "command": [ + 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322560, + "block_width_families": 896, + "active_calls_per_block": 9, + "bridges_per_block": 9, + "boundary_depth_bits": 18, + "max_active_depth": 18, + "stocknorm_bits": 1323, + "stock_l2_bits": 1323, + "physical_stock_bits": 2646, + "partial_cover_bits": 1, + "stocknorm_condition": "sqrt(|Sp(72,2)| * physical_families) <= 2^stock_l2_bits", + "input_l2_bits": 37, + "local_actual_prefix_bits": 95, + "local_reserve_bits": 128, + "actual_prefix_bits": 1478, + "required_reserve_bits": 1511, + "retained_payload_bits": 2048, + "foreign_helper_roles_checked": 1301912, + "endpoint_replay": { + "extra": { + "forward": { + "all_arbitrary_columns": 632, + "helper_to_data_response_zero": true, + "centres_first_clear_and_terminal_zero": 8, + "zero_buffers_allocated_and_cleared": 91, + "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro" + }, + "backward": { + "all_arbitrary_columns": 632, + "helper_to_data_response_zero": true, + "centres_first_clear_and_terminal_zero": 8, + "zero_buffers_allocated_and_cleared": 91, + "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro" + } + }, + "gauge44": { + "forward": { + "all_arbitrary_columns": 632, + "helper_to_data_response_zero": true, + "centres_first_clear_and_terminal_zero": 8, + "zero_buffers_allocated_and_cleared": 91, + "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro" + }, + "backward": { + "all_arbitrary_columns": 632, + "helper_to_data_response_zero": true, + "centres_first_clear_and_terminal_zero": 8, + "zero_buffers_allocated_and_cleared": 91, + "coefficient_work_contract": "unchanged audited clear-before-and-after Horner macro" + } + } + }, + "scope": "Completed native frame/phase/physical-primitive audits remain mandatory. Finite charts plus exact free-warp rows instantiate the separate universal block-energy bound; no child deletion is asserted." + }, + "helpers": 408, + "centres": 8, + "private_zero_buffers": 91, + "live": 322560, + "physical": 323069, + "physical_stock_identity": { + "data_and_owner_families": 322560, + "local_helpers": 408, + "private_centres": 8, + "private_zero_buffers": 91, + "coefficient_work": 2 + }, + "local_adapters": 358640, + "local_primitive_bound": 9301090421596, + "wrapper_elementary_factors_charged": 181958400, + "factors_per_wrapper": 144, + "compiler": 25934336, + "unhosted_pervertex": 69550216928192440, + "hosted_rebased_pervertex": 69550216914720195, + "conservative_pervertex_used": 72428163917917008, + "retained_prior_overcharge": { + "sha256": "ce1bfa49be88ae67a404f606a11db2232b7e1f2610d4418058e39749d86d8478", + "previous_pervertex_allowance": 2877946989724568, + "added_complete_new_pervertex": 69550216928192440, + "policy": "Retain old allowance and add entire fresh mixed recount." + }, + "finite": { + "physical_stock_bits": 2646, + "router_bits": 8000, + "literal_bits": 35293, + "physical_row_coefficient": 19549, + "retained_row_coefficient": 20161, + "required_C0_bits": 200012, + "halving_integer_inequality": [ + 5329, + 4608 + ], + "G_exponent": 30000, + "E_exponent": 100000, + "C0_exponent": 210000 + }, + "strict_checks": { + "local_primitive_bound": true, + "logical": true, + "router": true, + "literal": true, + "mass": true, + "precision": true, + "tape": true, + "row": true, + "halving": true + }, + "scope": "Actual call-specific mixed scalar, Horner, wrappers and paid children recounted. The fixed provider uses fresh hash-bound independent all-column/frame/phase/normalization admission. Shared compiler uses conservative maxima; parent is geometry/overcharge only. All-size compiler, hosting, precision/tape and analytic transfer remain conditional." +} diff --git a/research/three-kappa-leads/evidence/RELEASE-RECEIPT.json b/research/three-kappa-leads/evidence/RELEASE-RECEIPT.json new file mode 100644 index 0000000000..8b1953ea18 --- /dev/null +++ b/research/three-kappa-leads/evidence/RELEASE-RECEIPT.json @@ -0,0 +1,7 @@ +{ + "status": "PASS_RELEASE", + "kappa_decimal": "0.0017300963635286235342299999999999999999999998999999999999999999999999", + "manifest_sha256": "82b833593538e874cfa32da850851d8aa11b1c9a8289646a8d5360865cd1427e", + "proof": "Supplier: the package's own unchanged `verify.py` (retained PR1297 provider and parent admission, owner reconstruction, parent lift, strict T74 admission, geometry controls): `PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION`, native reuse {'base': 'e8e6e78ff7422275c38324499e1f33fb2ecd30de9503aef2b8f1ee80d8c4df8e', 'extra': '7b0e9fbda32749aabc7e156d9fe09bceb0624a178628fe69e5dfea783462f905'}; its complex endpoint 173009636352862353423/10000000... brackets the ledger's b = 173009636352862353422999999999999999999999999999999999999999999999999999999999999999999999999999999999/100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000. Outer (PR1673 capped phase-cell fusion): regenerated exact ledger (63 strict inequalities: the 62 retained rows plus the explicit main-binding row gaussian_above_main, the fixed-grid maximum kappa = C - 1/F - B asserted, 17 rejecting controls incl. the old g-factor union row, the old linear and old-theta chirp guards, the old 2*beta tag test, epsilon at 1 or at the r0 slack and beta outside its window, larger endpoint rejected by the native moment), independent balance derivation, the exact union-schedule simulation, the (retained, not used for kappa) structured-boundary displacement-rank check, the gauge-free identity/symbol/circuit checks, PR1786's finite prime/underflow controls and 19 exact evidence replays all pass. Conditional kappa 0.0017300963635286235342299999999999999999999998999999999999999999999999 (union schedule outer/UNION-SCHEDULE.md; explicit Strassen boundary tau=45/16 (the structured boundary of outer/STRUCTURED-BOUNDARY.md is not used); gauge-free interiors outer/GAUGEFREE-INTERIORS.md; fine source-prime padding PR1786 at the free point epsilon=1-(1025/1024)e-104, outer/FINE-PADDING-COMPOSITION.md; fixed-grid maximum of PR2180/PR2161 (dataisfire), outer/PROOF-GRID-MAX.md; exact-integer coarse exponential PR2168/PR2184 (dataisfire) at the one 24-digit rejection call).", + "seconds": 1243.0 +} diff --git a/research/three-kappa-leads/evidence/RESULT.json b/research/three-kappa-leads/evidence/RESULT.json new file mode 100644 index 0000000000..1eb26939cb --- /dev/null +++ b/research/three-kappa-leads/evidence/RESULT.json @@ -0,0 +1,382 @@ +{ + "actual_expected_helpers": 408, + "comparison_claim_sha256": "656a4c93411b078753783513e2e71b1722a56e7b70120264a38118811982fa77", + "comparison_head": "e2ca469b08385d3d5e29a918d66dbefaf889e9f3", + "comparison_kappa": "17240352247481048785499999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000", + "comparison_pr": 2969, + "complex_lower": "173009636352862353423/100000000000000000000000", + "dispatch_sha256": "8064e69e9be904bd81219fdde3b895adbad8d5c43c3a97de46a3aebbdb4424da", + "external_input_sha256": { + "/private/tmp/three-kappa-full/FILL-legacy.json.gz": "c55e03fadd1264c70bfa28711d79eaa28b8efd46e3e2306f9719e629254fcd0e", + "/private/tmp/three-kappa-materialized/predecessor/PR2969-CLAIM.json": "656a4c93411b078753783513e2e71b1722a56e7b70120264a38118811982fa77", + "/private/tmp/three-kappa-materialized/predecessor/adapters/extension_blocknorm.py": "6e6b8683cc87a84e5410c399b1128eb68694f852a3927cb124067f503ed7d7c7", + "/private/tmp/three-kappa-materialized/predecessor/helpers/lift_parent.py": "9a1edd7d4ab4a2f2ac8d15b42b7e40f93653d65026bac59e4c1ce80b486bd60e", + "/private/tmp/three-kappa-materialized/predecessor/helpers/reconstruct_replica.py": "5472811c24aef3852dc7e189dff5060076a6c0b25bfde928da50dcfe9b5bdc15", + "/private/tmp/three-kappa-materialized/predecessor/helpers/replica_parent.py": "48bdbf28f59d80edb266803ec61bf5e22e8fb5e5a0e2b88004b6039147589bd4", + "/private/tmp/three-kappa-t360-owners/DISPATCH.json": "8064e69e9be904bd81219fdde3b895adbad8d5c43c3a97de46a3aebbdb4424da", + "/private/tmp/three-kappa-t360-owners/ORDER.json": "e14d3c8b183f82ea1f8b1cbdf70d2fb07e450340ebb51815756b1248aa0609d6" + }, + "fill_sha256": "c55e03fadd1264c70bfa28711d79eaa28b8efd46e3e2306f9719e629254fcd0e", + "gain": "18941058689120799/3125000000000000000000", + "kappa": "17300963635286235342299999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000", + "kappa_decimal": "0.0017300963635286235342299999999999999999999998999999999999999999999999", + "native_receipt_sha256": "063ca4d8c1486786088a2fbf40101bd9ed0d32e393139edbfdaa290255a48a00", + "order_sha256": "e14d3c8b183f82ea1f8b1cbdf70d2fb07e450340ebb51815756b1248aa0609d6", + "package_manifest_sha256": "82b833593538e874cfa32da850851d8aa11b1c9a8289646a8d5360865cd1427e", + "patches": [ + { + "after_sha256": "52f8b4cec2dab69cbe590e1fd0f7a68e1b35de5a540bd22fd2adfce07a92b46b", + "before_sha256": "faf283eb4edd2e6a1ccb40b3cb3ba30ae54338eaf5ea0a10d84d11d7939502af", + "path": "new/rebind.py", + "replacements": [ + [ + "physical=spec['expected']['live'] + 8 + R + 2)", + "physical=spec['expected']['live'] + 8 + R + 2 + max(len(rd(d / 'CANONICAL-WORD.json.gz').get('zero_buffers', [])) for d in locs.values()))" + ] + ] + }, + { + "after_sha256": "99bef04f24a99088e5c0c9b8f6bbc8386669d8315b8f572d6bbfb932c5d51145", + "before_sha256": "7edb4732b34e5814b27650a55c938626cb50d68f06397744dd4fe451437e90e0", + "path": "geometry_controls.py", + "replacements": [ + [ + " i['complete_invocation_sweeps']=i['bridge_sweeps']=333", + " i['complete_invocation_sweeps']-=1;i['bridge_sweeps']-=1" + ], + [ + " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);oh=digest(o);i['owner_audit_sha256']=oh", + " o,i=copy.deepcopy(owner),copy.deepcopy(invoice);fn(o,i);assert (o,i)!=(owner,invoice), 'geometry mutant must change actual receipts';oh=digest(o);i['owner_audit_sha256']=oh" + ] + ] + }, + { + "after_sha256": "6cfefe80c02a6c0f243f50ca9e146e1ab1440b84a033d8a71d42be5a5fa27f6b", + "before_sha256": "c43680a2da390f79925547a5ee1919d8a76637cccf98e2c8164b6f667fbc3183", + "path": "verify_release.py", + "replacements": [ + [ + "Fraction(1, 10 ** 3046) - Fraction(1, 10 ** 3022)", + "Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 46)) - Fraction(1, 10 ** (spec['outer_refinement']['endpoint_digits'] + 22))" + ], + [ + "epsilon=1-(1025/1024)e-3080", + "epsilon=1-(1025/1024)e-{spec['outer_refinement']['endpoint_digits']+80}" + ], + [ + "at the one 3000-digit rejection call", + "at the one {spec['outer_refinement']['endpoint_digits']}-digit rejection call" + ] + ] + }, + { + "after_sha256": "1dd56009986eb14dd6603c9193c7ad71dd45c7d005bf71c9cd3f916e66f54d98", + "before_sha256": "9e12909c73d3b3a31a45d801ae76c034510d6306400412e474df79bc4f1dc67e", + "path": "outer/check_ledger.py", + "replacements": [ + [ + "assert (m,W)==(73,66304)", + "T=spec['geometry']['replicas']\nassert type(T) is int and T>0\nassert m==73 and W==896*T and W==BJ['live']" + ] + ] + }, + { + "after_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d", + "before_sha256": "08ca58abff11bdfba721dc56ab8acf06ec1b7c48a8699a0955cf35324680aca7", + "path": "code/witness.py", + "replacements": [ + [ + " with open(os.environ['WITNESS_RECORD'],'a')as f:f.write(json.dumps([key,got],default=str)+chr(10))", + " import time as _wr_time\n _wr_path=Path(os.environ['WITNESS_RECORD'])\n _wr_lock=_wr_path.with_name(_wr_path.name+'.append.lock')\n _wr_deadline=_wr_time.monotonic()+60\n _wr_fd=None\n while _wr_fd is None:\n try:_wr_fd=os.open(_wr_lock,os.O_CREAT|os.O_EXCL|os.O_WRONLY)\n except FileExistsError:\n if _wr_time.monotonic()>=_wr_deadline:raise TimeoutError('discovery record lock timeout; existing lock preserved')\n _wr_time.sleep(.005)\n try:\n with _wr_path.open('a',encoding='utf-8',newline='\\n')as _wr_out:\n _wr_out.write(json.dumps([key,got],default=str)+chr(10))\n _wr_out.flush()\n finally:\n os.close(_wr_fd)\n _wr_lock.unlink()" + ] + ] + }, + { + "after_sha256": "0bc39b4bc037bde6b1644cc53bcf9394e585e0d8245c48b2cfdb79365e216ffc", + "before_sha256": "8e1c5b5c4291637aa0ed4366792106df3cd7110bdfcc117a3d5da30a8f209862", + "path": "verify.py", + "replacements": [ + [ + "run('lift-parent',P/'lift_parent.py','--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')", + "run('lift-parent',P/'lift_parent.py','--package',P,'--owners',work/'rebuilt-owners','--out',work/'rebuilt-parent')" + ] + ] + }, + { + "after_sha256": "0d8cc021d2401d047aaec79060ec2ea28ba06f12eca8dbf4c60c78bb31975c4e", + "before_sha256": "ebaf637f1f818dac9c0fce0ee3f18df300873105818cea29a8ae9e8b737b5c7d", + "path": "code/witness.py", + "replacements": [ + [ + "PAYLOAD==1<<(192+(GEO['dimension']+1)//2+2*CALLS+4).bit_length()", + "PAYLOAD==1<<(128+(GEO['dimension']+1)//2+18+1330+1+4).bit_length()" + ] + ] + }, + { + "after_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47", + "before_sha256": "bb213d0af12218ff7c9c572717e522d8bbeeb2856b87a253f4a7f44e0fd71f15", + "path": "code/invoice_allcold.py", + "replacements": [ + [ + " required_prefix=localbits+input_l2_bits+call_count+bridge_sweeps+4", + " from blocknorm_certificate import certify\n blocknorm=certify(template, {pid:base/'providers'/pid for pid in template['local_providers']})\n assert blocknorm['status'] == 'PASS_TENSOR_BLOCK_NORM_CERTIFICATE'\n assert localbits <= 128, 'actual native scalar/Horner prefix exceeds charged local reserve'\n required_prefix=localbits+input_l2_bits+blocknorm['max_active_depth']+blocknorm['stock_l2_bits']+1+4" + ] + ] + }, + { + "after_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421", + "before_sha256": "02502a217fe8c9e10229075b50745518beac512c48db20e64c3e06514a4da5b5", + "path": "independent_core.py", + "replacements": [ + [ + " payload = 1 << (192 + (M+1)//2 + 2*len(c['order']) + 4).bit_length()", + " require(localbits <= 128, 'measured native prefix exceeds local reserve')\n payload = 1 << (128 + (M+1)//2 + 18 + 1330 + 1 + 4).bit_length()" + ] + ] + }, + { + "after_sha256": "d598a2ac1e2e8eaee14a8c285e0277a7ae44ca6a15bd2b5cfc67fb40844fb387", + "before_sha256": "c5106e0d7a97382677fa228fbade989262347968a0e54acfcf6712aa37e02f47", + "path": "code/invoice_allcold.py", + "replacements": [ + [ + " complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,", + " complete_invocation_sweeps=call_count,bridge_sweeps=bridge_sweeps,row_prefix_extra=2*payload,blocknorm=blocknorm," + ], + [ + " primitive_arithmetic_margin_bits=4,controller_audit_sha256=", + " tensor_block_norm=blocknorm,partial_cover_margin_bits=1,physical_stock_l2_bits=blocknorm['stock_l2_bits'],primitive_arithmetic_margin_bits=4,controller_audit_sha256=" + ], + [ + "Sum every actual invocation and bridge sweep and take the maximum local scalar/Horner prefix over both orientations of the fixed provider.", + "All invocations and bridge sweeps remain charged. Bound completed-boundary energy by at most eighteen active steps per owner replica, using exact tensor-isomorphic whole-family helper unitaries. Add the full group-indexed physical-stock sup-to-l2 factor and one partial-cover margin, then the maximum local scalar/Horner prefix." + ] + ] + }, + { + "after_sha256": "e051aaa166e01263780d5ae03699690670b597fed6593af4c37a7e978825eb85", + "before_sha256": "0d522b09c7fe6a5e62fe80c28f3eefe733557a82d77c6212e5d4b91ffb7e3421", + "path": "independent_core.py", + "replacements": [ + [ + " prefix = localbits + (M + 1) // 2 + len(c['order']) + c['bridges'] + 4", + " bn=c['blocknorm']\n require(bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['max_active_depth']==18 and bn['stock_l2_bits']<=1330, 'independent tensor block certificate')\n prefix = localbits + (M + 1) // 2 + bn['max_active_depth'] + bn['stock_l2_bits'] + 1 + 4" + ], + [ + "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], margin=4)", + "prefix_formula=dict(local_scalar=localbits, input_l2=(M + 1) // 2, invocations=len(c['order']), bridges=c['bridges'], active_block_depth=18,stock_l2=bn['stock_l2_bits'],partial_cover=1,margin=4),blocknorm=bn" + ] + ] + }, + { + "after_sha256": "393323f150d0bb686419804d51cf43d0f58450d2a1e7929725acdd26fdbb3640", + "before_sha256": "2286f00e462ff28abbb3f396095463482a1e063213b9526a7225275980c77eaf", + "path": "audit_mixed.py", + "replacements": [ + [ + "pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)", + "import blocknorm_certificate as BN;ctx['blocknorm']=BN.certify_context(ctx,roles,dirs,source_parent=parent);pending=A.check_pending_axes(ctx);receipt=A.check_roles(ctx,roles)" + ] + ] + }, + { + "after_sha256": "0542dde915af8902324db2f59136da078d5256bfaa8f1510f3e59336be7e2680", + "before_sha256": "f25e1e870df5d5a16a1e367b3df8843cb01644ab4b75895d7939af81e4fcb833", + "path": "code/assemble.py", + "replacements": [ + [ + " assert invoice['global_prefix_bits']==max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())+37+CALLS+CALLS+4", + " bn=invoice['blocknorm']\n assert bn['status']=='PASS_TENSOR_BLOCK_NORM_CERTIFICATE' and bn['replicas']==REPLICAS\n assert bn['max_active_depth']==bn['boundary_depth_bits']==18 and bn['active_calls_per_block']==bn['bridges_per_block']==9\n assert bn['block_width_families']==896 and bn['physical_families']==invoice['physical'] and bn['live_families']==invoice['live']\n assert bn['partial_cover_bits']==1 and bn['input_l2_bits']==37 and bn['local_reserve_bits']==128 and bn['retained_payload_bits']==PAYLOAD\n localbits=max(z['prefix_bits']for p in invoice['providers'].values()for z in p['local'].values())\n assert bn['local_actual_prefix_bits']==localbits and localbits<=128\n assert invoice['global_prefix_bits']==bn['actual_prefix_bits']==localbits+37+18+bn['stock_l2_bits']+1+4\n assert bn['required_reserve_bits']==128+37+18+bn['stock_l2_bits']+1+4 Date: Sun, 18 Oct 2026 07:49:03 -0400 Subject: [PATCH 7/8] Retain raw terminal logs as portable pinned text evidence --- research/three-kappa-leads/VALIDATION.json | 2 +- .../evidence/EVIDENCE-PINS.json | 10 +++---- .../evidence/FINAL-RELEASE.txt | 19 +++++++++++++ .../evidence/FIRST-ENVIRONMENT-CHILD.txt | 4 +++ .../evidence/FIRST-ENVIRONMENT-FAILURE.txt | 28 +++++++++++++++++++ .../evidence/FULL-ADMISSION.txt | 8 ++++++ .../evidence/NATIVE-SUMMARY.txt | 3 ++ research/three-kappa-leads/evidence_check.py | 2 +- 8 files changed, 69 insertions(+), 7 deletions(-) create mode 100644 research/three-kappa-leads/evidence/FINAL-RELEASE.txt create mode 100644 research/three-kappa-leads/evidence/FIRST-ENVIRONMENT-CHILD.txt create mode 100644 research/three-kappa-leads/evidence/FIRST-ENVIRONMENT-FAILURE.txt create mode 100644 research/three-kappa-leads/evidence/FULL-ADMISSION.txt create mode 100644 research/three-kappa-leads/evidence/NATIVE-SUMMARY.txt diff --git a/research/three-kappa-leads/VALIDATION.json b/research/three-kappa-leads/VALIDATION.json index 87793e4b04..e8b7b2519d 100644 --- a/research/three-kappa-leads/VALIDATION.json +++ b/research/three-kappa-leads/VALIDATION.json @@ -51,5 +51,5 @@ } }, "scope": "Conditional finite construction. Inherited all-size/compiler, uniform-cost, source/hosting, bootstrap, precision/tape/recovery, analytic and bit assumptions remain. No selected result edit.", - "evidence_manifest_sha256": "bbf5db27ce41a97f0918f47a3b6156bf67060ad7e77af406a409fe120d46231e" + "evidence_manifest_sha256": "42ab91ec20edef9acd89a50c6734d2de1c3e918f8ea1fd357744db75bc85b058" } diff --git a/research/three-kappa-leads/evidence/EVIDENCE-PINS.json b/research/three-kappa-leads/evidence/EVIDENCE-PINS.json index 9a03281c1c..386ac7a106 100644 --- a/research/three-kappa-leads/evidence/EVIDENCE-PINS.json +++ b/research/three-kappa-leads/evidence/EVIDENCE-PINS.json @@ -2,10 +2,10 @@ "scope": "Authenticated stored completed execution; not a fresh replay", "files": { "FILL-BINDING.json": "53d6ad1803352e697ff0fb368ce050ffdcb490274c4b5ab91466e4cb6b696106", - "FINAL-RELEASE.log": "2ad8d7bac4060c7633952df5947f0ff479f4f4210b7af1f29a3c548a34c0a0d1", - "FIRST-ENVIRONMENT-CHILD.log": "b9a5cfcd2aaf030c94fadb2b50137ef2ac8554ec3753d3c11e7dd4e4ca167370", - "FIRST-ENVIRONMENT-FAILURE.log": "d9074414e05cf737cf357d17263731b9e170e195d51105348786b06773af5139", - "FULL-ADMISSION.log": "2a53dea33dc76edd44fbaa28e9d904433fa86aae31dfad7486aca6b157e8e588", + "FINAL-RELEASE.txt": "2ad8d7bac4060c7633952df5947f0ff479f4f4210b7af1f29a3c548a34c0a0d1", + "FIRST-ENVIRONMENT-CHILD.txt": "b9a5cfcd2aaf030c94fadb2b50137ef2ac8554ec3753d3c11e7dd4e4ca167370", + "FIRST-ENVIRONMENT-FAILURE.txt": "d9074414e05cf737cf357d17263731b9e170e195d51105348786b06773af5139", + "FULL-ADMISSION.txt": "2a53dea33dc76edd44fbaa28e9d904433fa86aae31dfad7486aca6b157e8e588", "FULL-ENTRY-RESULT.json": "fb87e89ef9bd5d45696b16189f662f3849502d591a2f0aa8ee5c1ea59bc1ef90", "INDEPENDENT-OWNERS.json": "a3ca166e604b7227f2c50a47709ecb79b7899fdace8d8d1a618648593f8c2c3b", "LITERAL-REPLAY.json": "2e0663edb81e206beeac476e3e41816417a059fd5b4ff05aeae6a6d642b777e3", @@ -15,7 +15,7 @@ "NATIVE-RECEIPT.json": "063ca4d8c1486786088a2fbf40101bd9ed0d32e393139edbfdaa290255a48a00", "NATIVE-RESULT-base.json": "e4ff061307943f01109dbc6334af8f72abb43e2b11e82f6543883bdcfdb25310", "NATIVE-RESULT-extra.json": "41d1613ff10b4d677a8477840f8a9e325dfd17327108ecf5a2d628596bb2cdff", - "NATIVE-SUMMARY.log": "d7581123b0f3330f2598e7758ccbca466018d2599124fc6ceb1b678a9ee27dec", + "NATIVE-SUMMARY.txt": "d7581123b0f3330f2598e7758ccbca466018d2599124fc6ceb1b678a9ee27dec", "PREFIX-AND-INVOICE.json": "02ea41b3b3ea1d76ae2084f3f8822202b9e0f8008afcef56b2ae47d66147ef2f", "RELEASE-RECEIPT.json": "5c029c2bc559f1fa3b48abbe6bee8f131ab397381a95c98e436532fdfe83e597", "RESULT.json": "4567e1e998997aca156ac58dcff81aa5beb08e56cd7546e9e560788a9935f07d" diff --git a/research/three-kappa-leads/evidence/FINAL-RELEASE.txt b/research/three-kappa-leads/evidence/FINAL-RELEASE.txt new file mode 100644 index 0000000000..74d22e0d4c --- /dev/null +++ b/research/three-kappa-leads/evidence/FINAL-RELEASE.txt @@ -0,0 +1,19 @@ +PASS fine-engine-oracle +PASS retained-provider-and-parent-admission (hash-checked receipt) +PASS rebuild-words-566 +PASS reconstruct-owners +PASS lift-parent +PASS rebuild-borrow-words +PASS shared-kernel-independent-review +PASS preload-move-independent-review +PASS two-sided-helper408-review +PASS paired-extension-review +PASS declared-edit-review +PASS staged3605-review +PASS audit-local-566-base +PASS audit-local-566-extra +PASS rebind-566 +PASS lemmag-labels +PASS strict-t74 +PASS geometry-controls +PASS_T74_EXACT_FILL_COMPLETE_FINITE_ADMISSION 0.001727108299739823 diff --git a/research/three-kappa-leads/evidence/FIRST-ENVIRONMENT-CHILD.txt b/research/three-kappa-leads/evidence/FIRST-ENVIRONMENT-CHILD.txt new file mode 100644 index 0000000000..6671fe895c --- /dev/null +++ b/research/three-kappa-leads/evidence/FIRST-ENVIRONMENT-CHILD.txt @@ -0,0 +1,4 @@ +Traceback (most recent call last): + File "/private/tmp/three-kappa-materialized/changed/native/fresh-base/source/native/new/code/borrow/bw_audit_local.py", line 12, in + import numpy as np +ModuleNotFoundError: No module named 'numpy' diff --git a/research/three-kappa-leads/evidence/FIRST-ENVIRONMENT-FAILURE.txt b/research/three-kappa-leads/evidence/FIRST-ENVIRONMENT-FAILURE.txt new file mode 100644 index 0000000000..8508655ce3 --- /dev/null +++ b/research/three-kappa-leads/evidence/FIRST-ENVIRONMENT-FAILURE.txt @@ -0,0 +1,28 @@ +Traceback (most recent call last): + File "/tmp/three-kappa-materialized/changed/prepare_extension_native.py", line 76, in + if __name__=='__main__':main() + ^^^^^^ + File "/tmp/three-kappa-materialized/changed/prepare_extension_native.py", line 71, in main + with ThreadPoolExecutor(max_workers=a.jobs)as pool:stages=list(pool.map(fresh,['base','extra'])) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/opt/local/Library/Frameworks/Python.framework/Versions/3.11/lib/python3.11/concurrent/futures/_base.py", line 619, in result_iterator + yield _result_or_cancel(fs.pop()) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/opt/local/Library/Frameworks/Python.framework/Versions/3.11/lib/python3.11/concurrent/futures/_base.py", line 317, in _result_or_cancel + return fut.result(timeout) + ^^^^^^^^^^^^^^^^^^^ + File "/opt/local/Library/Frameworks/Python.framework/Versions/3.11/lib/python3.11/concurrent/futures/_base.py", line 456, in result + return self.__get_result() + ^^^^^^^^^^^^^^^^^^^ + File "/opt/local/Library/Frameworks/Python.framework/Versions/3.11/lib/python3.11/concurrent/futures/_base.py", line 401, in __get_result + raise self._exception + File "/opt/local/Library/Frameworks/Python.framework/Versions/3.11/lib/python3.11/concurrent/futures/thread.py", line 58, in run + result = self.fn(*self.args, **self.kwargs) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/tmp/three-kappa-materialized/changed/prepare_extension_native.py", line 63, in fresh + need(r.returncode==0,'fresh native '+tag+' failed; '+str(log));res=read(work/'RESULT.json');need(res['status']=='PASS_COMPLETE_T74_NATIVE_REPLAY'and res['word_sha256']==sha(word),'fresh native result') + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/tmp/three-kappa-materialized/changed/prepare_extension_native.py", line 17, in need + if not ok:raise ValueError(why) + ^^^^^^^^^^^^^^^^^^^^^ +ValueError: fresh native base failed; /private/tmp/three-kappa-materialized/changed/native/native-base.log diff --git a/research/three-kappa-leads/evidence/FULL-ADMISSION.txt b/research/three-kappa-leads/evidence/FULL-ADMISSION.txt new file mode 100644 index 0000000000..554b681099 --- /dev/null +++ b/research/three-kappa-leads/evidence/FULL-ADMISSION.txt @@ -0,0 +1,8 @@ +PASS owners +PASS parent-lift +PASS rebind +PASS discovery +PASS outer-check_ledger.py +PASS outer-independent_check.py +PASS release +PASS_REPLICA_ORDER_FILL_DERIVATIVE_COMPLETE_RELEASE 0.0017300963635286235342299999999999999999999998999999999999999999999999 diff --git a/research/three-kappa-leads/evidence/NATIVE-SUMMARY.txt b/research/three-kappa-leads/evidence/NATIVE-SUMMARY.txt new file mode 100644 index 0000000000..820460ef57 --- /dev/null +++ b/research/three-kappa-leads/evidence/NATIVE-SUMMARY.txt @@ -0,0 +1,3 @@ +PASS fresh-current-base +PASS fresh-current-extra +PASS_TWO_FRESH_SHARED_KERNEL_NATIVE_CHAINS_AUTHENTICATED_PARENT_REUSE diff --git a/research/three-kappa-leads/evidence_check.py b/research/three-kappa-leads/evidence_check.py index 57477a90a4..091239b399 100644 --- a/research/three-kappa-leads/evidence_check.py +++ b/research/three-kappa-leads/evidence_check.py @@ -6,7 +6,7 @@ from fractions import Fraction as Q import argparse,hashlib,json PROFILE={'1':7986600,'2':2352240,'3':749250,'4':330480,'5':69930,'8':25920,'48':137790} -PINS_SHA='bbf5db27ce41a97f0918f47a3b6156bf67060ad7e77af406a409fe120d46231e' # Freeze only after independent terminal receipt audit. +PINS_SHA='42ab91ec20edef9acd89a50c6734d2de1c3e918f8ea1fd357744db75bc85b058' # Freeze only after independent terminal receipt audit. SOURCE='318ede57c79d10323fb1918f7be4d451d1fcdac01c6456fe9851d51d05d59453' WORDS={'base':'735c540b1fe29d0ceeb4d2f304ec941e5f2bd3bc92bafc8cce2b4f9a67a3b653','extra':'886338fc32da14f3389a82c8120a1bcf9c5e2f0ec3e9b2d377fdae809e1d977f'} EXPECTED=Q('.001730096363528623534230')-Q(1,10**46)-Q(1,10**70) From d62e1acd7518a231440383f0d0dddf54d6edf8c1 Mon Sep 17 00:00:00 2001 From: zxv Date: Sun, 18 Oct 2026 07:55:25 -0400 Subject: [PATCH 8/8] Record all three scoped Astra conclusions and final local draft --- research/three-kappa-leads/PR-DRAFT.md | 4 +- research/three-kappa-leads/README.md | 8 ++- research/three-kappa-leads/STATUS.json | 20 +++--- research/three-kappa-leads/TASK.json | 17 +++--- research/three-kappa-leads/VALIDATION.json | 24 +++++++- .../reviews/REVIEW-DECISIONS.json | 58 +++++++++++++++--- .../reviews/lead1/INDEPENDENT.json | 58 ++++++++++++++++++ .../reviews/lead1/OWNERS.json | 41 +++++++++++++ .../three-kappa-leads/reviews/lead1/REVIEW.md | 24 ++++++++ .../reviews/lead1/aggregate_controls.py.txt | 1 + .../reviews/lead1/ceiling_check.py.txt | 13 ++++ .../reviews/lead1/chronology_check.py.txt | 16 +++++ .../reviews/lead1/evidence_check.py.txt | 1 + .../reviews/lead1/evidence_controls.py.txt | 1 + .../reviews/lead1/price_check.py.txt | 55 +++++++++++++++++ .../three-kappa-leads/reviews/lead1/review.py | 61 +++++++++++++++++++ 16 files changed, 368 insertions(+), 34 deletions(-) create mode 100644 research/three-kappa-leads/reviews/lead1/INDEPENDENT.json create mode 100644 research/three-kappa-leads/reviews/lead1/OWNERS.json create mode 100644 research/three-kappa-leads/reviews/lead1/REVIEW.md create mode 100644 research/three-kappa-leads/reviews/lead1/aggregate_controls.py.txt create mode 100644 research/three-kappa-leads/reviews/lead1/ceiling_check.py.txt create mode 100644 research/three-kappa-leads/reviews/lead1/chronology_check.py.txt create mode 100644 research/three-kappa-leads/reviews/lead1/evidence_check.py.txt create mode 100644 research/three-kappa-leads/reviews/lead1/evidence_controls.py.txt create mode 100644 research/three-kappa-leads/reviews/lead1/price_check.py.txt create mode 100644 research/three-kappa-leads/reviews/lead1/review.py diff --git a/research/three-kappa-leads/PR-DRAFT.md b/research/three-kappa-leads/PR-DRAFT.md index 8a4aefa81a..5101993ae4 100644 --- a/research/three-kappa-leads/PR-DRAFT.md +++ b/research/three-kappa-leads/PR-DRAFT.md @@ -1,6 +1,6 @@ Title: Match the staged-width conditional κ frontier with a smaller T360 allocation -The staged-width suppliers admit a better complete allocation after exchanging the adjacent final T37 call and initial T8 call. Recomputed source windows and an exact S8 allocation give T360, 1,321,920 literal helper roles and 323,069 physical families. The full paid profile crosses between `0.001730096363528623534230` and `0.001730096363528623534231`; the intended conditional released endpoint is the lower endpoint minus `10^-46+10^-70`. Exact normalized pricing beats #3626 by about `2.44988228437e-8`, as well as #3624, and ties the newer concurrent #3633 endpoint. Relative to that T488 construction, this uses114,688 fewer physical families and470,016 fewer helper roles. The independent2,551-pattern dual replay closes further packing improvements on the same fixed-model24-place release grid. No priority claim or minimal replica count is claimed. +The staged-width suppliers admit a better complete allocation after exchanging the adjacent final T37 call and initial T8 call. Recomputed source windows and an exact S8 allocation give T360, 1,321,920 literal helper roles and 323,069 physical families. The full paid profile crosses between `0.001730096363528623534230` and `0.001730096363528623534231`; the intended conditional released endpoint is the lower endpoint minus `10^-46+10^-70`. Exact normalized pricing beats #3626 by about `2.44988228437e-8`, as well as #3624, and ties the newer concurrent #3633 endpoint. Relative to that T488 construction, this uses 114,688 fewer physical families and 470,016 fewer helper roles. The independent 2,551-pattern dual replay closes further packing improvements on the same fixed-model 24-place release grid. No priority claim or minimal replica count is claimed. The package retains the exact predecessor source bytes and credit, an integer certificate, deterministic literal builder, separate audit using actual native frames, full replay entry and authenticated execution evidence. It also records the two other assigned investigations as appendices: one constant-bridge dictionary rewrite is excluded, and unchanged native five-plane consumers expose deferred translation debt. Both broader redesigned mechanisms remain inconclusive. @@ -8,4 +8,4 @@ Validation and independent Astra review status are recorded in `research/three-k All inherited all-size/compiler, common-label/mutable-source, uniform-cost, hosting, bootstrap-time, precision/recovery/tape, analytic and bit-interface premises remain. This is a conditional finite construction, not an unconditional multiplication theorem or a selected-frontier update. Credit Ross Richardson/#3605, hexapode/#3494/#3624/#3626 and all retained source authors. Substantial OpenAI Codex assistance and scoped same-session Astra AI review are disclosed; no human or formal-kernel approval is claimed. -Submission status: complete release passed; required final Astra lead1 review pending. Local draft, no public PR opened. +Submission status: complete release passed; all three required fresh Astra medium reviews conclude YES for their stated scopes. Bounded verification also passes in a committed Git-free export. Strict source-history ancestry validation remains unrun in a full-history clone because the shared checkout is shallow. Local draft, no public PR opened. diff --git a/research/three-kappa-leads/README.md b/research/three-kappa-leads/README.md index 51f1562b11..af799b2a94 100644 --- a/research/three-kappa-leads/README.md +++ b/research/three-kappa-leads/README.md @@ -1,10 +1,10 @@ # Three assigned κ leads: a smaller T360 frontier match and scoped obstructions -Local-only research package on `codex/three-kappa-leads`; no selected-frontier change or public submission. The T360 construction passed complete source/native/physical/precision/outer release at `κ=0.001730096363528623534230−10^-46−10^-70`. The latest refresh found concurrent #3633 reporting the identical endpoint at T488. Ours uses114,688 fewer physical families and470,016 fewer roles. Final independent Astra review is pending in STATUS.json; no strict increase over that concurrent candidate is claimed. +Local-only research package on `codex/three-kappa-leads`; no selected-frontier change or public submission. The T360 construction passed complete source/native/physical/precision/outer release at `κ=0.001730096363528623534230−10^-46−10^-70`. The latest refresh found concurrent #3633 reporting the identical endpoint at T488. Ours uses 114,688 fewer physical families and 470,016 fewer roles. All three fresh Astra medium reviews conclude YES for the stated scopes; no strict increase over that concurrent candidate is claimed. | Assigned lead | Bounded result | Broader scope | |---|---|---| -| New staged-width inventory × chronology × whole helpers | One adjacent T37/T8 join swap; exact S8/T360 allocation, 1,321,920 literal roles, physical323,069. See [CHRONOLOGY.md](CHRONOLOGY.md). | An independent2,551-pattern dual check attains the fixed-model relaxation and closes further packing gains on the same24-place release grid. Changed suppliers/geometry/interface/grid remain outside scope. | +| New staged-width inventory × chronology × whole helpers | One adjacent T37/T8 join swap; exact S8/T360 allocation, 1,321,920 literal roles, physical stock 323,069. See [CHRONOLOGY.md](CHRONOLOGY.md). | An independent 2,551-pattern dual check attains the fixed-model relaxation and closes further packing gains on the same 24-place release grid. Changed suppliers/geometry/interface/grid remain outside scope. | | Residual dictionary and one changed bridge | Astra YES/SCOPED_NEGATIVE for one address-independent bridge. Zero character forces the original bridge; concrete O4 rotation requires a character-dependent bridge and saves no rank. See [BRIDGE.md](BRIDGE.md). | Address-dependent changed-bridge construction remains INCONCLUSIVE. | | Five-plane shared-address cancellation | Astra YES/SCOPED_NEGATIVE for unchanged ZERO-frame native consumers/wrappers. Native scratch→target ADD exposes translation debt even if final scratch restores. See [CONSUMER.md](CONSUMER.md). | A redesigned literal producer/consumer/owner schedule remains INCONCLUSIVE. | @@ -26,11 +26,13 @@ Complete fresh replay, using Python3.12 with [requirements-full.txt](requirement The full command is intentionally separate from the bounded manifest. Do not run multiple artifact-regenerating replays concurrently. Explicit prepared-source/native/allocation reuse options preserve source pins and replay scope. VALIDATION.json distinguishes the executed commands from unrun portable forms, stored evidence from fresh execution, and retained parent proofs from the two freshly rerun changed suppliers. +Bounded verification also passed from a committed Git-free export with tools excluded from PATH. Committed-byte checks pass; strict source-history ancestry validation remains unrun in a full-history clone because this shared repository is shallow. + The exact predecessor package is retained in PR3624-SOURCE.tar.gz, with source hashes/blob IDs and original notices; no unmerged remote Git object is needed for replay. SOURCES.json declares main-tree scientific inputs. The original source archives and selected record are unchanged. ## Review and limitations -Every lead requires its own fresh GPT-6 Astra medium review of a frozen exact commit. Review decisions, raw independent checks and critical repairs are under reviews/. Lead3's initial missing candidate pin was repaired before renewed approval. These are scoped same-session AI reviews, not human acceptance or formal verification. +Each lead received its own fresh GPT-6 Astra medium review of a frozen exact commit; all three conclude YES for their stated scopes. Review decisions, raw independent checks and critical repairs are under reviews/. Lead3's initial missing candidate pin was repaired before renewed approval. These are scoped same-session AI reviews, not human acceptance or formal verification. All inherited all-size/compiler, uniform cost, common-label/mutable-source, whole-call hosting, bootstrap-time, precision/tape/recovery, analytic and bit-interface premises remain. Finite certificates do not establish an unconditional multiplication theorem. The two negative results close only the hypotheses stated above, not their broad mechanisms. diff --git a/research/three-kappa-leads/STATUS.json b/research/three-kappa-leads/STATUS.json index 6470d89c19..cf71d7ae47 100644 --- a/research/three-kappa-leads/STATUS.json +++ b/research/three-kappa-leads/STATUS.json @@ -3,12 +3,12 @@ "priority_revision": 6, "scope": "Three explicitly assigned leads; no selected-frontier edit or public submission authorized", "lead1": { - "status": "complete conditional release passed; final Astra review pending", + "status": "concluded", "test": "one adjacent T37/T8 join swap; source-derived windows and optimistic fractional whole-helper allocation", "replicas": 360, "candidate_root_lower": "0.001730096363528623534230", - "latest_comparator_pr": 3626, - "latest_comparator_head": "659fd5e7064d9466b668d7188cbb013b333a415a", + "latest_comparator_pr": 3633, + "latest_comparator_head": "72c268f113368ea0387d188225e3f81ba6d6ef73", "completed": [ "exact aggregate", "fresh literal construction", @@ -18,11 +18,10 @@ "physical audit", "strict invoice", "assembly", - "both outer checkers" - ], - "pending": [ - "fresh Astra medium review" + "both outer checkers", + "fresh scoped Astra medium review" ], + "pending": [], "runtime": { "full_replay": "/tmp/three-kappa-full", "prepared": "/tmp/three-kappa-materialized", @@ -30,7 +29,6 @@ "literal": "/tmp/three-kappa-t360-owners", "python": "/tmp/three-kappa-env/bin/python" }, - "proposed_outcome": "LOCAL_PROGRESS", "freshness_correction": { "pr": 3633, "head": "72c268f113368ea0387d188225e3f81ba6d6ef73", @@ -38,7 +36,11 @@ "our_smaller_physical_stock": 114688, "our_fewer_roles": 470016 }, - "fixed_model_ceiling": "All2551patterns independently checked; no extra same24-place release-grid packing gain" + "fixed_model_ceiling": "All 2,551 patterns independently checked: no higher endpoint on the same 24-place release grid within the stated fixed model; broader construction changes remain open.", + "outcome": "LOCAL_PROGRESS", + "reviewed_commit": "b5f34d40940cab58db8937a1fe24b25cba1daf2a", + "reviewer": "GPT-6 Astra medium", + "conclude": "YES" }, "lead2": { "status": "concluded", diff --git a/research/three-kappa-leads/TASK.json b/research/three-kappa-leads/TASK.json index c4dd83a9ed..6f08a4d7b1 100644 --- a/research/three-kappa-leads/TASK.json +++ b/research/three-kappa-leads/TASK.json @@ -51,16 +51,16 @@ "bottleneck_link": "A gain must change the complete paid recursive profile and pass both supplier caps, physical stock, precision and outer release.", "budget_minutes": 60, "stop_rule": "Use exact structural/complete-cost screens early; do not equate a narrow failure with broad exhaustion. Positive aggregate allocation requires full literal and admission evidence before kappa claim.", - "outcome": "partial", - "evidence": "See STATUS.json, exact receipts, CHRONOLOGY.md, BRIDGE.md and CONSUMER.md.", + "outcome": "completed", + "evidence": "All three mandatory fresh Astra medium reviews conclude YES at their exact frozen commits. Lead1 LOCAL_PROGRESS: complete conditional T360 release matches PR3633 with smaller stock, plus a scoped fixed-model grid ceiling. Leads2/3 SCOPED_NEGATIVE; broader redesigned mechanisms remain INCONCLUSIVE. See STATUS.json and reviews/REVIEW-DECISIONS.json.", "author": "OpenAI Codex, with substantial AI assistance", "ai_assistance": "GPT-6.1 Sol investigation; separate fresh GPT-6 Astra medium scoped reviews of each lead; not independent human or formal acceptance.", "open_questions": [ { - "question": "Can a different source-derived join change or allocation beat the T360 profile?", - "why_it_matters": "Current finite allocation is feasible but not claimed optimal.", - "first_step": "Recompute one bounded change and its complete optimistic cost, then require an exact integer certificate.", - "blocked_by": "No checked stronger candidate yet." + "question": "Can changed suppliers, geometry, interface, precision grid or transfer recipe improve the released endpoint, or can fewer replicas match it?", + "why_it_matters": "The independently checked fixed-model relaxation rules out a higher endpoint on the same 24-place grid for any positive T; it does not settle changed models, real slack below that grid, or minimal replica count.", + "first_step": "Change one specified premise and derive its full source-bound paid profile, or certify an exact smaller integer allocation matching the endpoint.", + "blocked_by": "No checked stronger changed-model candidate or minimal-T certificate." }, { "question": "Can a genuinely address-dependent native bridge reduce the complete residual profile?", @@ -78,7 +78,8 @@ "upstream_refresh": { "canonical_main": "20ecf2891d80b5acf18d980b2164fb44ea7faa90", "priority_revision": 6, - "checked_utc": "2026-10-18T11:42:53Z", - "overlap_refresh": "find_overlap --task independent-moment attempted; gh unavailable so remote coverage null. Public GitHub REST live open100 updated PRs plus relevant heads/comments and Discussion web pages checked separately. PR3626 now strongest checked unchallenged reported candidate; not a complete novelty survey. Later live refresh found concurrent #3633 same endpoint and #3630 all-T ceiling. Scope changed to smaller frontier match plus fixed-model stopping result; no strict latest kappa increase." + "checked_utc": "2026-10-18T11:55:11Z", + "overlap_refresh": "find_overlap --task independent-moment attempted; gh unavailable so remote coverage null. Public GitHub REST live open100 updated PRs plus relevant heads/comments and Discussion web pages checked separately. PR3626 now strongest checked unchallenged reported candidate; not a complete novelty survey. Later live refresh found concurrent #3633 same endpoint and #3630 all-T ceiling. Scope changed to smaller frontier match plus fixed-model stopping result; no strict latest kappa increase.", + "final_refresh": "Canonical main and guidance unchanged; 12 most recently updated open PRs inspected; relevant PR3633 and PR3630 heads unchanged. Not an exhaustive novelty claim." } } diff --git a/research/three-kappa-leads/VALIDATION.json b/research/three-kappa-leads/VALIDATION.json index e8b7b2519d..8d17ad89f7 100644 --- a/research/three-kappa-leads/VALIDATION.json +++ b/research/three-kappa-leads/VALIDATION.json @@ -1,5 +1,5 @@ { - "status": "PASS_COMPLETE_CONDITIONAL_RELEASE_PENDING_ASTRA_LEAD1", + "status": "PASS_COMPLETE_CONDITIONAL_RELEASE_AND_SCOPED_ASTRA_REVIEW", "endpoint": "0.001730096363528623534230 - 10^-46 - 10^-70", "replicas": 360, "roles": 1321920, @@ -51,5 +51,25 @@ } }, "scope": "Conditional finite construction. Inherited all-size/compiler, uniform-cost, source/hosting, bootstrap, precision/tape/recovery, analytic and bit assumptions remain. No selected result edit.", - "evidence_manifest_sha256": "42ab91ec20edef9acd89a50c6734d2de1c3e918f8ea1fd357744db75bc85b058" + "evidence_manifest_sha256": "42ab91ec20edef9acd89a50c6734d2de1c3e918f8ea1fd357744db75bc85b058", + "reviewed_scientific_commit": "b5f34d40940cab58db8937a1fe24b25cba1daf2a", + "review": "All three fresh GPT-6 Astra medium reviewers conclude YES for their recorded scopes; lead1 reviewer independently reconstructed windows/profile and freshly audited all literal roles, but authenticated rather than reran heavy native/outer stages.", + "publication_preflight": { + "registered_bounded_replay": "PASS at reviewed scientific commit; outcome then partial, now completed after review.", + "metadata_and_pins": "PASS", + "committed_bytes": { + "status": "PASS", + "commit": "b5f34d40940cab58db8937a1fe24b25cba1daf2a", + "files": 689 + }, + "strict_source_history": "NOT PASSED: local shared repository is shallow; full-history ancestry validation remains unrun in a complete-history clone.", + "git_free_export": { + "status": "PASS", + "commit": "b5f34d40940cab58db8937a1fe24b25cba1daf2a", + "files": 689, + "archive": "/tmp/three-kappa-committed-export.tar.gz", + "command": "PATH=/tmp/three-kappa-no-tools /tmp/three-kappa-env/bin/python -I -B /tmp/three-kappa-git-free/research/three-kappa-leads/verify.py", + "scope": "Fresh bounded verification of committed export without Git or cached PR objects; not a fresh full cold native/outer replay." + } + } } diff --git a/research/three-kappa-leads/reviews/REVIEW-DECISIONS.json b/research/three-kappa-leads/reviews/REVIEW-DECISIONS.json index 005bd51895..c8d380f8ea 100644 --- a/research/three-kappa-leads/reviews/REVIEW-DECISIONS.json +++ b/research/three-kappa-leads/reviews/REVIEW-DECISIONS.json @@ -1,24 +1,62 @@ { "lead2": { - "model": "gpt-6-astra", "reasoning_effort": "medium", + "model": "gpt-6-astra", + "reasoning_effort": "medium", "artifact": "80a2ab05c58b6a7e2050567ce12aae67bcf334cd", - "CONCLUDE": "YES", "OUTCOME": "SCOPED_NEGATIVE", + "CONCLUDE": "YES", + "OUTCOME": "SCOPED_NEGATIVE", "scope": "One address-independent bridge; broader address-dependent changed-bridge route remains INCONCLUSIVE", - "critical_gaps": [], "independent_full_word_corrected_cases": 48, + "critical_gaps": [], + "independent_full_word_corrected_cases": 48, "unchanged_bridge_failure_controls": 18, - "remaining_open_domain": ["address-dependent replacement programs", "changed hosting/translations/event order", "other owner/port words", "full paid-profile reduction"] + "remaining_open_domain": [ + "address-dependent replacement programs", + "changed hosting/translations/event order", + "other owner/port words", + "full paid-profile reduction" + ] }, "lead3": { - "model": "gpt-6-astra", "reasoning_effort": "medium", - "initial_artifact": "b22f6a0f6", "initial_CONCLUDE": "CONTINUE", + "model": "gpt-6-astra", + "reasoning_effort": "medium", + "initial_artifact": "b22f6a0f6", + "initial_CONCLUDE": "CONTINUE", "initial_objection": "Directly read five-plane CANDIDATE.json lacked an explicit hash pin", "artifact": "fcb90595d3db6f76817a221a82274c060fd8d163", - "CONCLUDE": "YES", "OUTCOME": "SCOPED_NEGATIVE", + "CONCLUDE": "YES", + "OUTCOME": "SCOPED_NEGATIVE", "repair": "Explicit candidate pin added; mutation rejected; renewed independent review", "scope": "Unchanged ZERO-frame consumers/wrappers; redesigned native route remains INCONCLUSIVE", - "critical_gaps": [], "independent_source_basis_cases": 512, + "critical_gaps": [], + "independent_source_basis_cases": 512, "independent_target_basis_cases": 512, - "remaining_open_domain": ["literal five-frame producer", "compensated consumers", "complete physical source/owner schedule", "workspace restoration", "paid routing/hosting/precision profile"] + "remaining_open_domain": [ + "literal five-frame producer", + "compensated consumers", + "complete physical source/owner schedule", + "workspace restoration", + "paid routing/hosting/precision profile" + ] }, - "review_status": "Same-session scoped AI review; not independent human or formal acceptance" + "review_status": "Same-session scoped AI review; not independent human or formal acceptance", + "lead1": { + "model": "gpt-6-astra", + "reasoning_effort": "medium", + "artifact": "b5f34d40940cab58db8937a1fe24b25cba1daf2a", + "CONCLUDE": "YES", + "OUTCOME": "LOCAL_PROGRESS", + "scoped_negative": "No higher 24-place release-grid endpoint within the stated fixed supplier/inventory/cost/transfer model, any positive T.", + "scope": "Conditional T360 frontier match with smaller physical stock; no strict kappa gain over concurrent PR3633.", + "critical_gaps": [], + "independent_owner_roles": 1321920, + "old_clock_invalid_roles": 1560, + "independent_patterns": 2551, + "full_native_outer_review": "Authenticated retained execution; reviewer did not independently repeat heavy admission.", + "remaining_open_domain": [ + "changed suppliers, geometry or interface", + "changed precision grid or outer transfer recipe", + "minimal replica count", + "inherited all-size/compiler and other conditional premises" + ] + } } diff --git a/research/three-kappa-leads/reviews/lead1/INDEPENDENT.json b/research/three-kappa-leads/reviews/lead1/INDEPENDENT.json new file mode 100644 index 0000000000..3824010481 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/INDEPENDENT.json @@ -0,0 +1,58 @@ +{ + "commit": "b5f34d40940cab58db8937a1fe24b25cba1daf2a", + "source_window_delta": [ + [ + 48, + 232, + 333, + 224 + ], + [ + 32, + 284, + 333, + 224 + ], + [ + 16, + 317, + 333, + 224 + ] + ], + "old_clock_invalid_roles": 1560, + "profile": { + "1": 7986600, + "2": 2352240, + "3": 749250, + "4": 330480, + "5": 69930, + "8": 25920, + "48": 137790 + }, + "numeric_crosscheck_only": [ + "-0.00000000000000000000000129823881647665441355664724036783538278108728415270257927693027800358761292085438450259787", + "0.0000000000000000000000015386636928295131993826518907983397533558291155472546023078634281354063031347127645797114" + ], + "patterns": 2551, + "symbolic_zero": 12, + "numeric_minimum_strict": "0.00405346802564521295413251424745244850049777490373007603982018453735886717160668260235705544", + "aggregate_controls": [ + [ + "undo clock", + "one actual adjacent join swap" + ], + [ + "unpaid rank1", + "reconstructed complete paid profile" + ], + [ + "drop role flow", + "exact width balance" + ], + [ + "negative pattern", + "integer pattern" + ] + ] +} diff --git a/research/three-kappa-leads/reviews/lead1/OWNERS.json b/research/three-kappa-leads/reviews/lead1/OWNERS.json new file mode 100644 index 0000000000..e87f12a19b --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/OWNERS.json @@ -0,0 +1,41 @@ +{ + "calls": 3240, + "controls": [ + "duplicate helper", + "strict lower endpoint used as available", + "same-call family reused", + "unpaid chronological hole", + "one unpaid rank1 child" + ], + "idle": { + "1": 84240, + "3": 23490, + "5": 5130, + "48": 137790 + }, + "input_sha256": { + "/Users/temp/.codex/worktrees/three-kappa-leads/integer-mult-bounds/research/rank7-joint-endframes/allocation/vendor/PLAN.json.gz": "d566cfb87b71639d4138e1f89b543e2dd6a7772070226a2a14c799a6835bf21e", + "/Users/temp/.codex/worktrees/three-kappa-leads/integer-mult-bounds/research/rank7-joint-endframes/allocation/vendor/TEMPLATE.json.gz": "21297b20f1f2dc76eb9dd8124416068c3cb096bab9df17fa4da19bc68dfe082e", + "/private/tmp/three-kappa-materialized/changed/native-py312/native-cache/735c540b1fe29d0ceeb4d2f304ec941e5f2bd3bc92bafc8cce2b4f9a67a3b653/local/CANONICAL-WORD.json.gz": "b87f174cd72d194f23c075fd82b2fe42f5e9606e8500e4dfa23c31e8655c8de5", + "/private/tmp/three-kappa-materialized/changed/native-py312/native-cache/886338fc32da14f3389a82c8120a1bcf9c5e2f0ec3e9b2d377fdae809e1d977f/local/CANONICAL-WORD.json.gz": "8276f3d7f6f85bf3d678832f63baabb38550d11ed8f3841aa47020121e8e4e82", + "/private/tmp/three-kappa-t360-owners/DISPATCH.json": "8064e69e9be904bd81219fdde3b895adbad8d5c43c3a97de46a3aebbdb4424da", + "/private/tmp/three-kappa-t360-owners/FILL.json.gz": "8ea003fd8119c57140cc710e106cce56b00a245bbaf10813813d34744ecf90b1", + "/private/tmp/three-kappa-t360-owners/ORDER.json": "e14d3c8b183f82ea1f8b1cbdf70d2fb07e450340ebb51815756b1248aa0609d6", + "/private/tmp/three-kappa-t360-owners/PROFILE.json": "c31b921f5767c5f1f7d9d75f50c55eab1dc6f8e3143453058b0b13b115582ec4" + }, + "physical": 323069, + "profile": { + "1": 7986600, + "2": 2352240, + "3": 749250, + "4": 330480, + "5": 69930, + "8": 25920, + "48": 137790 + }, + "replicas": 360, + "roles": 1321920, + "scope": "Independent finite vectorized audit; no producer, solver, retained owner checker or reconstructor imports. Actual native frames are authenticated input data; their separate full operator proofs are required.", + "script_sha256": "89c27f61ae3e6d2bdd4c469ac5b99d4f955a443c5e04c74e568c12093510efbe", + "status": "PASS_INDEPENDENT_LITERAL_OWNER_WINDOWS_FAMILIES_PREFIXES_AND_INVOICE" +} diff --git a/research/three-kappa-leads/reviews/lead1/REVIEW.md b/research/three-kappa-leads/reviews/lead1/REVIEW.md new file mode 100644 index 0000000000..3ef3902528 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/REVIEW.md @@ -0,0 +1,24 @@ +CONCLUDE YES +OUTCOME LOCAL_PROGRESS, with SCOPED_NEGATIVE for further fixed-model 24-place release-grid kappa gain. +ARTIFACT b5f34d40940cab58db8937a1fe24b25cba1daf2a + +Independent scoped AI review. No worktree changes. This is not human approval or formal theorem acceptance. + +Reviewed chronology, integer primal, literal builder and independently executed owner audit, rational pricing and its retained log/exp engine, all-pattern ceiling, source/archive manifests and authentication, complete replay entry, execution disclosure, retained terminal/native/invoice/owner receipts and semantic evidence controls. + +Independently authored review.py reconstructs source windows directly from source event JSON without the producer window function. It confirms exactly the three 224-bin upper extensions, and identifies 1560 assigned roles that become invalid upon undoing the clock swap. Independently sums the complete local+idle bill and mass23431680. Fresh audit_entry replay passes all1321920 literal roles, native-frame widths, source windows, physical family uniqueness, compact prefixes and paid histogram. Physical stock is323069 including all509 private families. + +Independent90-digit numerical cross-check places the root between the two claimed24-place endpoints, with normalized moments about -1.29824e-24 and +1.53866e-24. This numerical cross-check is supplementary: retained exact rational price and ceiling checkers freshly passed. Reviewed the underlying rational log remainder and alternating exponential inequalities. Re-enumerated all2551 patterns independently;12 symbolic zero and2539 positive costs, smallest positive numerical cost about0.0040534680256452. Exact rational checker verifies the positivity and all primal equalities at the actual upper24-place endpoint. + +The dual direction is valid: every fixed-model packing induces a feasible nonnegative pattern vector with the source-derived capacity/width equalities; relaxing chronology/family constraints/integrality can only lower minimum cost. Local bill is constant. Dual cost at the upper grid point exceeds896T*73^(1-k). Since normalized profile moments are strictly increasing (all positive ranks below73), every fixed-model root is below that grid point. Thus no higher24-place release endpoint is available with the same transfer recipe. This does not establish zero real-root slack, optimal replica count, or an all-model ceiling. + +Authenticated stored full-release evidence passes. Both changed providers have five successful native stages; retained-parent reuse is explicit. Invoice covers632 arbitrary logical columns in both directions for each provider, eight centers and91 buffers, actual prefix1478/reserve1511/charged2048. Full seven-stage admission and strict terminal release use the stated endpoint. This review did not repeat heavy native/outer admission. The actual execution used authenticated same-session fresh-native and prepared-source reuse; complete cold no-reuse CLI remains unexecuted, as disclosed. + +Negative controls: independently altered clock, unpaid rank1, dropped width flow and negative pattern all rejected. Supplied aggregate controls, ten semantic terminal/native/precision/stock controls, and fresh literal audit controls all pass. Tests/logs are retained alongside this report. + +Concurrent PR3633 comparison is a normalized profile and endpoint tie, with470016 fewer roles and114688 fewer physical families here. No SUCCESS_KAPPA claim against that comparator is warranted. Predecessor strict-improvement assertions in price_check/evidence_check are scoped to their named historical comparators; they must not be presented as a strict improvement over the refreshed frontier. + +CRITICAL GAPS: None for the explicitly conditional smaller-match and fixed-model grid-ceiling conclusion. Supplied original admission receipts are authenticated stored execution, not a second fresh full replay by this reviewer. +REMAINING OPEN DOMAIN: Changed suppliers, geometry, interface, precision grid or outer transfer recipe; minimal replica count; inherited all-size/compiler, uniform-cost, hosting/source, bootstrap, precision/tape/recovery, analytic and bit premises. No selected-frontier update or unconditional multiplication theorem is supported. + +Evidence: review.py, INDEPENDENT.json, OWNERS.json, chronology_check.py.log, price_check.py.log, ceiling_check.py.log, evidence_check.py.log, evidence_controls.py.log, aggregate_controls.py.log in /tmp/three-kappa-astra-lead1/. diff --git a/research/three-kappa-leads/reviews/lead1/aggregate_controls.py.txt b/research/three-kappa-leads/reviews/lead1/aggregate_controls.py.txt new file mode 100644 index 0000000000..4b009d6a57 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/aggregate_controls.py.txt @@ -0,0 +1 @@ +{"status": "PASS_AGGREGATE_CONTROLS", "controls": ["wrong interface order", "source lower endpoint read", "one omitted helper flow", "over-capacity whole-helper pattern", "unpaid output histogram unit"]} diff --git a/research/three-kappa-leads/reviews/lead1/ceiling_check.py.txt b/research/three-kappa-leads/reviews/lead1/ceiling_check.py.txt new file mode 100644 index 0000000000..37e47ae7eb --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/ceiling_check.py.txt @@ -0,0 +1,13 @@ +{ + "status": "PASS_INDEPENDENT_FIXED_MODEL_CEILING_AND_T360_ATTAINMENT", + "patterns": 2551, + "strict": 2539, + "symbolically_zero": 12, + "minimum_reduced_cost_lower": "202673401282260647706625712372622425024888745186503801991/50000000000000000000000000000000000000000000000000000000000", + "root_upper": "1730096363528623534231/1000000000000000000000000", + "normalized_tie_pr3633": true, + "physical_saving_vs_pr3633": 114688, + "roles_saving_vs_pr3633": 470016, + "remaining_24_place_release_grid_improvement": "NONE: all fixed-model roots below next grid point; T360 already attains largest allowed lower grid point", + "scope": "Fixed capacities/inventory/local bill, 9 calls and live896T, any positive integer T; chronology/hosting relaxed. No ceiling for changed supplier, geometry, interface or precision grid." +} diff --git a/research/three-kappa-leads/reviews/lead1/chronology_check.py.txt b/research/three-kappa-leads/reviews/lead1/chronology_check.py.txt new file mode 100644 index 0000000000..ba3851bc42 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/chronology_check.py.txt @@ -0,0 +1,16 @@ +{ + "status": "PASS_EXACT_AGGREGATE_NOT_LITERAL_OR_FULL_RELEASE", + "replicas": 360, + "calls": 3240, + "roles": 1321920, + "profile": { + "1": 7986600, + "2": 2352240, + "3": 749250, + "4": 330480, + "5": 69930, + "8": 25920, + "48": 137790 + }, + "physical": 323069 +} diff --git a/research/three-kappa-leads/reviews/lead1/evidence_check.py.txt b/research/three-kappa-leads/reviews/lead1/evidence_check.py.txt new file mode 100644 index 0000000000..e8a54e06c4 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/evidence_check.py.txt @@ -0,0 +1 @@ +PASS_STORED_T360_COMPLETE_RELEASE_NOT_FRESH_REPLAY diff --git a/research/three-kappa-leads/reviews/lead1/evidence_controls.py.txt b/research/three-kappa-leads/reviews/lead1/evidence_controls.py.txt new file mode 100644 index 0000000000..8341976da0 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/evidence_controls.py.txt @@ -0,0 +1 @@ +{"status": "PASS_STORED_EVIDENCE_SEMANTIC_CONTROLS", "controls": ["release stage omitted", "nonzero stage exit", "wrong kappa endpoint", "one unpaid child", "native word source substituted", "private buffers omitted", "strict invoice check omitted", "precision undercharged", "dirty endpoint column omitted", "one literal role omitted"]} diff --git a/research/three-kappa-leads/reviews/lead1/price_check.py.txt b/research/three-kappa-leads/reviews/lead1/price_check.py.txt new file mode 100644 index 0000000000..08533ea9d0 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/price_check.py.txt @@ -0,0 +1,55 @@ +{ + "status": "PASS_EXACT_PROFILE_NOT_FULL_RELEASE", + "profile": { + "1": 7986600, + "2": 2352240, + "3": 749250, + "4": 330480, + "5": 69930, + "8": 25920, + "48": 137790 + }, + "replicas": 360, + "normalized_delta_vs_PR3624": { + "1": -118800, + "2": 0, + "3": -5940, + "4": 0, + "5": -29700, + "8": 0, + "48": 5940 + }, + "difference": { + "lower": "-1456425242028415620048702997818958539659483942519683741698703709/1000000000000000000000000000000000000000000000000000000000000", + "upper": "-364106310507103905012175749454739634914870985629920935424675927/250000000000000000000000000000000000000000000000000000000000" + }, + "root_interval": [ + "0.00173009636352862353423", + "0.001730096363528623534231" + ], + "lower_check": { + "lower": "-30343399326570271953669587778705456163591053/1000000000000000000000000000000000000000000000000000000000000", + "upper": "-7585849831642567988417396944676364040897763/250000000000000000000000000000000000000000000000000000000000" + }, + "upper_check": { + "lower": "7192557527671296672365519430170488152425447/200000000000000000000000000000000000000000000000000000000000", + "upper": "8990696909589120840456899287713110190531809/250000000000000000000000000000000000000000000000000000000000" + }, + "endpoint": "17300963635286235342299999999999999999999998999999999999999999999999/10000000000000000000000000000000000000000000000000000000000000000000000", + "latest_comparator_pr": 3626, + "latest_comparator_head": "659fd5e7064d9466b668d7188cbb013b333a415a", + "normalized_delta_vs_PR3626": { + "1": 212400, + "2": 0, + "3": 201780, + "4": 0, + "5": -265500, + "8": 0, + "48": 10620 + }, + "latest_difference": { + "lower": "-860944521075660069301784112670560969072965898865507407037476891/1000000000000000000000000000000000000000000000000000000000000", + "upper": "-86094452107566006930178411267056096907296589886550740703747689/100000000000000000000000000000000000000000000000000000000000" + }, + "gain_root_lower_vs_PR3626_upper": "24498822843651689/1000000000000000000000000" +} diff --git a/research/three-kappa-leads/reviews/lead1/review.py b/research/three-kappa-leads/reviews/lead1/review.py new file mode 100644 index 0000000000..30412e2290 --- /dev/null +++ b/research/three-kappa-leads/reviews/lead1/review.py @@ -0,0 +1,61 @@ +from pathlib import Path +import json,gzip,sys,subprocess,copy,itertools +from collections import Counter,defaultdict +from fractions import Fraction as Q +import mpmath as mp +R=Path('/Users/temp/.codex/worktrees/three-kappa-leads/integer-mult-bounds');P=R/'research/three-kappa-leads';O=Path('/tmp/three-kappa-astra-lead1') +sys.path.insert(0,str(P)) +import chronology_check as C +j=lambda p:json.loads(p.read_text()) +d=j(P/'CHRONOLOGY-CANDIDATE.json');template=json.loads(gzip.decompress((R/'research/rank7-joint-endframes/allocation/vendor/TEMPLATE.json.gz').read_bytes())) +def groups(order): + clock={tuple(v):i for i,v in enumerate(order)};ans=Counter(); children={x['child']:x['rank'] for x in template['idle_children']};pairs={x['stage']:x['pair'] for x in template['recipe'] if x['kind']=='local'} + for replica in range(45): + touched={};t=None + for e in template['execution_schedule']: + k=e['kind'] + if k=='local_cover_sweep':t=clock[e['stage'],replica];touched[pairs[e['stage']]]=t + elif k=='bridge':touched[e['src']]=t;touched[e['dst']]=t + elif k=='idle_cover_sweep': + for child in e['child_indices']: + if child in children:ans[children[child],touched.get(e['pair'],-1),t]+=112 + return ans +actual=groups(d['order']);assert sorted([*k,v]for k,v in actual.items())==d['groups'] +old=copy.deepcopy(d['order']);old[332],old[333]=old[333],old[332];prev=groups(old) +assert actual-prev==Counter({(16,317,333):224,(32,284,333):224,(48,232,333):224}) +assert prev-actual==Counter({(16,317,332):224,(32,284,332):224,(48,232,332):224}) +violations=[row for row in d['z'] if d['groups'][row[0]][2]==333 and row[1]==333 and tuple(d['groups'][row[0]][:3]) in actual-prev] +assert sum(x[3]for x in violations)>0 +H=Counter({int(r):n*3240 for r,n in d['local_profile'].items()}) +for g,q,n in d['x']: + residual=d['groups'][g][0]-sum(w*v for w,v in zip(d['widths'],q)) + if residual:H[residual]+=n +assert dict(H)=={int(r):n for r,n in d['profile'].items()};assert sum(r*n for r,n in H.items())==23431680 +assert 896*360+408+8+91+2==323069 +mp.mp.dps=90 +mom=lambda a:sum(n*mp.power(mp.mpf(r)/73,1-a)for r,n in H.items())/(896*360)-1 +lo,hi=[mp.mpf(x)for x in j(P/'PRICE-EXPECTED.json')['root_interval']];assert mom(lo)<00;mini=min(mini,val) +assert (count,zero)==(2551,12) +controls=[] +for name,mutate in [('undo clock',lambda b:b['order'].__setitem__(slice(332,334),list(reversed(b['order'][332:334])))),('unpaid rank1',lambda b:b['profile'].__setitem__('1',b['profile']['1']+1)),('drop role flow',lambda b:b['z'][0].__setitem__(3,b['z'][0][3]-1)),('negative pattern',lambda b:b['x'][0][1].__setitem__(0,-1))]: + b=copy.deepcopy(d);mutate(b) + try:C.check(b) + except ValueError as e:controls.append([name,str(e)]) + else:raise AssertionError(name) +result={'commit':subprocess.check_output(['git','rev-parse','HEAD'],cwd=R,text=True).strip(),'source_window_delta':[[*k,v]for k,v in (actual-prev).items()],'old_clock_invalid_roles':sum(x[3]for x in violations),'profile':dict(H),'numeric_crosscheck_only':[str(mom(lo)),str(mom(hi))],'patterns':count,'symbolic_zero':zero,'numeric_minimum_strict':str(mini),'aggregate_controls':controls} +(O/'INDEPENDENT.json').write_text(json.dumps(result,indent=2)+'\n');print(json.dumps(result,indent=2)) +for script in ['chronology_check.py','price_check.py','ceiling_check.py','evidence_check.py','evidence_controls.py','aggregate_controls.py']: + run=subprocess.run([sys.executable,'-B',str(P/script)],stdout=subprocess.PIPE,stderr=subprocess.STDOUT,text=True,cwd=R);(O/(script+'.log')).write_text(run.stdout);assert run.returncode==0,(script,run.stdout);print('PASS',script,flush=True)