From 703af02caa7a070cabe45491a908d83b2a54133b Mon Sep 17 00:00:00 2001 From: Dugongue <49054532+Dugongue@users.noreply.github.com> Date: Sun, 11 Oct 2026 12:31:12 -0700 Subject: [PATCH 1/4] Add files via upload --- research/tensor-response-r715/EXPECTED.json | 178 + research/tensor-response-r715/bit470/LICENSE | 201 + .../tensor-response-r715/bit470/NOTICE.md | 3 + .../tensor-response-r715/bit470/code/audit.py | 214 + .../tensor-response-r715/bit470/code/emit.py | 285 + .../bit470/code/geometry.py | 110 + .../bit470/code/hosted_kernel.py | 40 + .../bit470/code/hosting_core.py | 138 + .../bit470/code/labels.py | 68 + .../bit470/code/local_audit.py | 46 + .../bit470/code/mix_target.py | 94 + .../bit470/code/row_bound.py | 47 + .../bit470/data/kernel-selection.json | 1228 + .../bit470/data/mixing.json | 282 + .../bit470/data/parent470.json | 1 + .../bit470/data/parent473.json | 1 + .../bit470/data/pooling.json | 513 + .../bit470/data/residual-isometries.json | 1957 + 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"bank_assignments": 0, + "bit_profile": { + "1": 213480, + "2": 92899, + "3": 22880, + "4": 27524, + "5": 9944, + "6": 7232, + "7": 4248, + "8": 792, + "34": 1, + "56": 684 + }, + "parent_kappa": "1265931727546219/1000000000000000000", + "additional_interface": "PR442 whole-family hosting; PR450 target-label lemma; full-nine-axis two-sided monomial transport; same-owner borrowed identity spectators; paid active complements; complete invocations", + "route_extra": 6, + "dispatch_overhead": 100000 +} diff --git a/research/tensor-response-r715/bit470/LICENSE b/research/tensor-response-r715/bit470/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/tensor-response-r715/bit470/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/tensor-response-r715/bit470/NOTICE.md b/research/tensor-response-r715/bit470/NOTICE.md new file mode 100644 index 0000000000..3541f6d356 --- /dev/null +++ b/research/tensor-response-r715/bit470/NOTICE.md @@ -0,0 +1,3 @@ +R715 producer and carrier/XOR construction: DreamingOfClouds, with Claude Opus 5.5, PR463. Shared-donor kernel mechanism and exact engines: chafreaky and the PR417/443 lineage. Whole hosting: DaysSky PR442. Target mixing: DreamingOfClouds PR450/463; no cross-family split used. New selection, 74 retiming moves and four-replica pooling: Rohan Arun with OpenAI Codex. Complex supplier: chafreaky PR458, unchanged and cited only at this stage. The inherited repository package notices and Apache-2.0 licenses remain applicable. See the retained PR463 README and source pins. + +This followup reconstructs PR467 and reselects its kernel after retaining its frame timing and target mixing. New 105-pivot/rank113 selection and eight-replica whole pooling by Rohan Arun with OpenAI Codex assistance. diff --git a/research/tensor-response-r715/bit470/code/audit.py b/research/tensor-response-r715/bit470/code/audit.py new file mode 100644 index 0000000000..0c379e7bad --- /dev/null +++ b/research/tensor-response-r715/bit470/code/audit.py @@ -0,0 +1,214 @@ +"""Independent eleven-stage schedule, geometry embedding and hosted ownership audit. +Derived from PR386/436/443/444 and DaysSky PR442; all source notices retained. +Eleven-stage integration by chafreaky with OpenAI Codex assistance, Apache-2.0. +No emitter, schedule constructor, hosting solver or expander is imported. +Usage: audit.py PARENT443_CANDIDATE OUT +""" +import copy,gzip,hashlib,json,sys +from local_audit import local_audit +from collections import Counter,defaultdict +from pathlib import Path +K,L,M,T,V=5,11,78,8,120 +R=json.loads((Path(__file__).resolve().parents[1]/'data/word.json').read_text())['R'] +DATA=2*K*V*T +read=lambda p:json.loads(p.read_text()) +sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest() +load_template=lambda p:json.loads(gzip.decompress(p.read_bytes())) + +def windows(schedule): + last={};seen=[];win={};ranks={};pairs={} + for position,event in enumerate(schedule): + kind=event['kind'] + if kind=='local_cover_sweep': + seen.append((position,event['stage'],event['pair']));last[event['pair']]=position + elif kind=='bridge': + last[event['dst']]=position;last[event['src']]=position + elif kind=='idle': + i=event['idx'];assert i not in win + win[i]={s for pos,s,p in seen if last.get(event['pair'],-1)0 and 0<=off and off+w<=rank[i] + cells=set(range(off,off+w));assert not cells&used[i,cp];used[i,cp]|=cells + assert (s,h) not in hosted;hosted[s,h]=(i,cp,off,w) + assert set(hosted)=={(s,h) for s in range(L) for h in range(R*T)} + rem={};summaries={} + for i in rank: + if not rank[i]:continue + for cp in range(2*V*T):rem[i,cp]=rank[i]-len(used[i,cp]) + if str(i) in hs['windows']: + summaries[str(i)]={str(r):n for r,n in sorted(Counter(rem[i,cp] for cp in range(2*V*T)).items())} + assert hs['remainders']==summaries + assert len(t['calls'])==L*T;seen=set();paid=Counter() + localhash={ori:hashlib.sha256(json.dumps(es,separators=(',',':')).encode()).hexdigest() for ori,es in t['local_programs'].items()} + for index,c in enumerate(t['calls']): + s,rep=c['stage'],c['replica'];p=max(0,(s-1)//2);rev=bool(s%2) + assert (s,rep)==divmod(index,T) and c['pair']==p and c['orientation']==('reverse' if rev else 'forward') + assert c['local_hash']==localhash[c['orientation']] + own=c['owners'];assert len(own)==2*V+R + assert len({(f,tuple(route)) for f,route in own})==2*V+R + for j,(f,route) in enumerate(own): + assert 0<=f2*max(paid)**3 + return paid + +def expanded_digest(t): + h=hashlib.sha256();count=0 + for call in t['calls']: + for op in t['local_programs'][call['orientation']]: + row=[op[0],call['owners'][op[1]]] + if op[0]==0:row.extend(op[2:]) + else: + row.append(call['owners'][op[2]] if op[2]<2*V+R else [t['live'],['private',0]]) + row.extend(op[3:]) + h.update(json.dumps(row,separators=(',',':')).encode());h.update(b'\n');count+=1 + return h.hexdigest(),count + + +def physical_prefix(t): + bounds={i:1 for i in range(t['live'])};scratch=t['live'];bounds[scratch]=0;maximum=1 + stages=defaultdict(list) + for c in t['calls']:stages[c['stage']].append(c) + for e in t['schedule']: + if e['kind']=='local_cover_sweep': + for c in stages[e['stage']]: + for z in t['local_programs'][c['orientation']]: + tag=z[0] + if tag==0:continue + dst=c['owners'][z[1]][0] + if tag==1: + sr=scratch if z[2]==2*V+R else c['owners'][z[2]][0] + bounds[dst]=bounds[dst]+abs(z[3])*bounds[sr] + elif tag==2:bounds[scratch]=bounds[dst] + else:assert tag==3;bounds[scratch]=0 + maximum=max(maximum,bounds[dst],bounds[scratch]) + elif e['kind']=='bridge': + for replica in range(T): + for port in range(V): + for side in (0,1): + dp,sp=(e['dst'],e['src']) if side==0 else (e['src'],e['dst']) + dst=replica*2*K*V+(2*dp+side)*V+port;sr=replica*2*K*V+(2*sp+side)*V+port + bounds[dst]+=bounds[sr];maximum=max(maximum,bounds[dst]) + assert bounds[scratch]==0 + return maximum + +def main(): + par,geometry_parent,out=map(Path,sys.argv[1:]);t=load_template(out/'GLOBAL-TEMPLATE.json.gz');pt,local_result=local_audit(par) + g=read(out/'GLOBAL.json');geo=read(out/'GEOMETRY.json');pg=read(geometry_parent/'GEOMETRY.json') + state=read(par/'records/249-states.json');fs=read(par/'records/frames.json')['frames'] + widths=[8-fs[str(state['initial'][str(h)])]['dim'] for h in range(2*V,2*V+R)] + P=audit(t,pt,widths) + assert geo['m']==78 and geo['stages']==11 and len(geo['ports'])==120 and not geo['bank_slots'] and not geo['bank_permutations'] + for p,old in zip(geo['ports'],pg['ports']): + assert {k:v for k,v in p.items() if k!='routes'}=={k:v for k,v in old.items() if k!='routes'} + assert p['routes'][:9]==old['routes'] and len(p['routes'])==11 + for s,route in enumerate(p['routes']): + if s==0:assert route==dict(stage=0,axes=list(range(8)),identity=True) + else: + assert route==dict(stage=s,axes=list(range(8))+list(range(8+7*(s-1),8+7*s)),elementary_inverse_replay=old['routes'][1]['elementary_inverse_replay']) + assert len(set(route['axes']))==15 and max(route['axes'])1<<192 # Old independent-replica charge is not reused. + controls=[] + def reject(name,fn): + q=copy.deepcopy(t);fn(q) + try:audit(q,pt,widths) + except (AssertionError,KeyError,IndexError,TypeError):controls.append(name) + else:raise AssertionError('accepted '+name) + slot=lambda q:q['hosting']['slots'][0] + reject('slot outside window',lambda q:slot(q).__setitem__(4,10)) + reject('copy outside family',lambda q:slot(q).__setitem__(1,2*V*T)) + reject('negative slot offset',lambda q:slot(q).__setitem__(2,-1)) + reject('wrong residual width',lambda q:slot(q).__setitem__(3,slot(q)[3]+1)) + reject('duplicate helper',lambda q:q['hosting']['slots'].append(slot(q))) + reject('missing helper',lambda q:q['hosting']['slots'].pop()) + reject('owner replica does not match assignment',lambda q:q['calls'][0]['owners'][240].__setitem__(0,q['calls'][0]['owners'][240][0]+1200)) + reject('cross-replica data',lambda q:q['calls'][0]['owners'][0].__setitem__(0,1200)) + reject('wrong hosted coordinate',lambda q:q['calls'][0]['owners'][240][1].__setitem__(2,99)) + reject('helper changed to bank',lambda q:q['calls'][0]['owners'][240][1].__setitem__(0,'bank')) + reject('wrong call orientation',lambda q:q['calls'][0].__setitem__('orientation','reverse')) + reject('duplicate call',lambda q:q['calls'].__setitem__(1,q['calls'][0])) + reject('dropped final stage',lambda q:q.__setitem__('calls',[c for c in q['calls'] if c['stage']<10])) + reject('wrong idle rank',lambda q:next(e for e in q['schedule'] if e['kind']=='idle').__setitem__('rank',1)) + reject('omitted bridge',lambda q:q['schedule'].pop(next(i for i,e in enumerate(q['schedule']) if e['kind']=='bridge'))) + reject('wrong bridge sign',lambda q:next(e for e in q['schedule'] if e['kind']=='bridge').__setitem__('coefficient',-1)) + reject('omitted terminal exchange',lambda q:q['schedule'].pop()) + reject('understated live stock',lambda q:q.__setitem__('live',q['live']-1)) + reject('missing remainder summary',lambda q:q['hosting']['remainders'].pop(next(iter(q['hosting']['remainders'])))) + reject('wrong residual isometry',lambda q:q['residual_isometries'][0]['orthogonal_rows_numerator'][0].__setitem__(0,99)) + reject('omitted local instruction',lambda q:q['local_programs']['forward'].pop()) + reject('wrong reflected copy rank',lambda q:next(z for z in q['local_programs']['reverse'] if z[0]==2).__setitem__(5,0)) + res=dict(status='PASS_INDEPENDENT_ELEVEN_STAGE_HOSTING_AUDIT',template_sha256=th,emitted_program_sha256=digest, + emitted_events=count,profile={str(r):n for r,n in sorted(P.items())},live=DATA,physical=DATA+9,hosted_residuals=(L*R*T), + bank_assignments=0,rank_mass=sum(r*n for r,n in P.items()),deficit=408*T,maxchild=max(P),geometry_routes=1320, + halving_depth=3,physical_prefix_bits=prefix.bit_length(),charged_prefix_bits=g['charged_prefix_bits'],local_audit=local_result,mutations_rejected=controls) + (out/'AUDIT.json').write_text(json.dumps(res,indent=2)+'\n');print(json.dumps(res)) +if __name__=='__main__':main() diff --git a/research/tensor-response-r715/bit470/code/emit.py b/research/tensor-response-r715/bit470/code/emit.py new file mode 100644 index 0000000000..9eca66cb4b --- /dev/null +++ b/research/tensor-response-r715/bit470/code/emit.py @@ -0,0 +1,285 @@ +# Eight-replica whole-family pooling by Rohan Arun with OpenAI Codex. Upstream notices retained. +# Kernel integration of PR436/PR386 by chafreaky, with OpenAI Codex assistance. +# Original copyright and attribution retained below. This variant uses explicit +# residual isometries and mixed-width banks; the original all-zero-start +# requirement is replaced by the verified kernel entrance contract. +"""Source-bound eleven-stage bit template with 8 independent replicas and no helper banks. +PR386 global identity and PR436 generalization by Zhihao Chen and eumemic, +with their disclosed OpenAI Codex and Anthropic Claude assistance, Apache-2.0. +PR439 explicit residual routes and this replication extension by chafreaky, +with OpenAI Codex assistance. All owner assignments and emitted calls are checked. +Historical PR386 regression is performed by the unchanged parent wrapper. +""" +import argparse, gzip, hashlib, json, struct, time, sys +from collections import Counter +from pathlib import Path +HERE=Path(__file__).resolve().parent +sys.path.insert(0,str(HERE.parents[1]/"vendor/runtime")) + +from bank_routes import validate_isometries +import hosting_core as HC + +H,L,K,T,M=8,11,5,8,78 +def sha(p): return hashlib.sha256(p.read_bytes()).hexdigest() +def write(p,x): p.write_text(json.dumps(x,indent=2)+'\n') + +def recipe(): + out=[dict(kind='local',stage=0,pair=0,reverse=False)]; stage=1 + for j in range(K): + out.append(dict(kind='local',stage=stage,pair=j,reverse=True)); stage+=1 + if j/2') + geo=json.loads((out/'GEOMETRY.json').read_text()) + assert geo['status']=='PASS_COMPRESSED_ELEVEN_BIT_GEOMETRY' + # the port routes depend only on the labels: same 120 label vectors, in the same order + assert len(geo['ports'])==V and all(p['port']==t and p['q']==w['lines'][t] for t,p in enumerate(geo['ports'])) + rp=a.local_check/'records/249-records.bin'; raw=rp.read_bytes(); rec=list(struct.iter_unpack('<6i',raw)) + state=json.loads((a.local_check/'records/249-states.json').read_text()) + fs=json.loads((a.local_check/'records/frames.json').read_text())['frames'] + dims={int(f):z['dim'] for f,z in fs.items()} + lg=json.loads((a.local_check/'cout/legality.json').read_text()) + cc=json.loads((a.local_check/'cout/columns.json').read_text()) + assert lg['status'].startswith('PASS') and cc['status'].startswith('PASS') + assert (state['v'],state['n'])==(V,LOCAL) and lg['copies']==lg['erasures']==9 + ADDS=lg['common_frame_ADDs'] + assert cc['formal_columns_checked']==4*V+R and cc['local_scalar_additions']==ADDS + initial=[state['initial'][str(i)] for i in range(LOCAL)] + final=[state['final'][str(i)] for i in range(LOCAL)] + assert all(dims[final[i]]==H for i in range(2*V,LOCAL)) + widths=[H-dims[initial[i]] for i in range(2*V,LOCAL)] + ENT=sum(H-z for z in widths) + NB=0;LIVE=DATA + assert T==8 and M==8+7*(L-1) + isometries=json.loads(a.isometries.read_text()) + assert validate_isometries(isometries,w['frames'],w['lines'],dims)==set(initial[2*V:]) + streams={}; checks={}; localH=None + for reverse in (False,True): + cur=(final if reverse else initial)[:]+[-1]; val=[1<=0 + cur[x]=newf + if f: hist[f]+=1 + events.append([0,x,oldf,newf,f,int(reverse)]) + elif op==1: + assert cur[x]==cur[y]==f and x!=y and x/2') + lines=[S.Matrix(x) for x in w['lines']]; I=S.eye(8); Z=S.zeros(8) + assert lines[0]==S.Matrix([2,0,0,0,0,0,0,0]) + ip=lambda u,v:(u.T*v)[0]/2 + gs={0:I}; todo=[0] + while todo: + more=[] + for i in todo: + for j in range(120): + if j in gs or abs(ip(lines[i],lines[j]))!=1: continue + d=lines[i]-lines[j] if ip(lines[i],lines[j])==1 else lines[i]+lines[j] + r=I-d*d.T/(d.T*d)[0]*2 + gs[j]=r*gs[i]; more.append(j) + todo=more + assert len(gs)==120 + recipes=[]; denoms=set(); max_factors=0 + for t,q in enumerate(lines): + g=gs[t]; assert g.T*g==I and g*lines[0] in (q,-q) + P=q*q.T/4; K=I-P; A=g[:,1:] + assert A.T*A==S.eye(7) and A*A.T==K and P*A==S.zeros(8,7) + rho=P.row_join(A).col_join(A.T.row_join(S.zeros(7))) + assert rho.T==rho and rho*rho==S.eye(15) + expected={'P':S.diag(I,S.zeros(7)), 'H':S.eye(15), + '0':S.diag(K,S.zeros(7)), 'K':S.diag(K,S.eye(7))} + for name,U in [('P',P),('H',I),('0',Z),('K',K)]: + assert rho*S.diag(U,S.eye(7))*rho==expected[name] + # Exact bit address operators D_U: head/tail exchange on U. + # Unlike complex C_U, they carry no omitted scalar/translation phase. + def D(U): return (I-U).row_join(U).col_join(U.row_join(I-U)) + assert D(I)*D(P)==D(K) and D(P)*D(P)==S.eye(16) + ops=factor(rho); max_factors=max(max_factors,len(ops)) + for typ,i,j,c in ops: + if c is not None: denoms.add(int(S.Rational(c).q)) + # Compact exact global matrices: these 15 axes are the first eight + # local coordinates and exterior block s. All other axes are fixed. + routes=[dict(stage=0,axes=list(range(8)),identity=True)] + for s in range(1,11): + axes=list(range(8))+list(range(8+7*(s-1),8+7*s)) + assert len(set(axes))==15 and max(axes)<78 + routes.append(dict(stage=s,axes=axes,elementary_inverse_replay=ops)) + recipes.append(dict(port=t,q=list(map(int,q)),complement_columns=[[str(x) for x in row] for row in A.tolist()], + rho15=[[str(x) for x in row] for row in rho.tolist()],routes=routes)) + if t%30==0: print('compressed geometry',t+1,flush=True) + # Exact nested data levels: local I (or K_q) plus s exterior rank-7 + # blocks. Width 78=8+10*7; each bridge sees identical complete operators. + idle=[] + for j in range(1,5): + idle += [dict(pair=j,source_level=-1,target_level=2*j-1,rank=14*j,phase='before_positive_bridge'), + dict(pair=j,source_level=2*j-1,target_level=2*j,rank=7,phase='before_negative_bridge')] + for j in range(5): + idle.append(dict(pair=j,source_level=2*j+2,target_level=10,rank=14*(4-j),phase='terminal')) + assert sum(z['rank'] for z in idle)==308 + # Every residual is hosted in a data family; no helper bank exists. + slots=[];perms=[] + out=dict(status='PASS_COMPRESSED_ELEVEN_BIT_GEOMETRY',h=8,m=78,stages=11, + word_sha256=digest(p),ports=recipes,idle_per_port_and_data_member=idle, + local_window='U direct_sum E_s, with E_s the first s exterior coordinate 7-blocks', + ambient_form='I_78/2',bank_slots=slots,bank_permutations=perms, + route_checks=1320,exact_bit_endpoint_operator_checks=240, + max_route_factors=max_factors,route_denominators=sorted(denoms), + bad_prime_factors=sorted({int(q) for d in denoms for q in S.factorint(d)}), + missing_route_factor_controls=120,bank_free=True, + scope='All port isometries, stage boundary identities, nested idle ranks, exact bit endpoint operators and coordinate embeddings. No residual banks are used. Full local-word scalar and chronological lowering are checked separately.') + dump(a.out/'GEOMETRY.json',out) + print(json.dumps({k:v for k,v in out.items() if k not in ('ports','bank_permutations','idle_per_port_and_data_member')}),flush=True) + +if __name__=='__main__': main() diff --git a/research/tensor-response-r715/bit470/code/hosted_kernel.py b/research/tensor-response-r715/bit470/code/hosted_kernel.py new file mode 100644 index 0000000000..5141bb2c1a --- /dev/null +++ b/research/tensor-response-r715/bit470/code/hosted_kernel.py @@ -0,0 +1,40 @@ +"""PR417 response kernel with every local response and frame check retained. +Bank integrality is replaced by complete idle-host ownership in the global audit. +Generalization by chafreaky with OpenAI Codex assistance; Apache-2.0. +""" +from stages import Lat, to_masks, occurrences, Framer, mask_of, json + +def kernel(c, sel): + L = Lat(c['lines']); masks = to_masks(c, L); v = c['v']; n = 2 * v + c['R']; FULL = (1 << v) - 1 + occ = occurrences(c, masks) + gm = {(ph, k): masks[g[0]] for ph in ('D', 'A', 'B', 'C') for k, g in enumerate(c[ph])} + first = {} + for h in range(2 * v, n): + assert masks[c['start'][h]] == 0 + first[h] = next(x if kind == 'p' else gm[x] for kind, x in occ[h][1:] if (x if kind == 'p' else gm[x]) != 0) + resp = {} + for f, t, srcs in c['D']: + assert masks[f] == 0 + for s in srcs: resp[s] = resp.get(s, 0) ^ (1 << (t - v)) + ret = set(c['ret']); pivots = {}; donor_at = {}; tot = 0 + for E_lines, p, D in sel: + E = L.close(mask_of(E_lines)); assert E == mask_of(E_lines) and E != 0 + assert p not in ret and p not in pivots and p not in donor_at and 2 * v <= p < n + x = resp.get(p, 0) + for d in D: + assert d not in ret and d not in pivots and 2 * v <= d < n + assert donor_at.setdefault(d, E) == E, 'donor serves one entrance' + x ^= resp.get(d, 0) + assert x == 0, ('response relation fails', p) + for h in [p] + D: assert E & ~first[h] == 0, ('entrance not inside first frame', h) + pivots[p] = E; tot += L.dim(E) + assert not set(pivots) & set(donor_at) + out = json.loads(json.dumps(c)); fm = Framer(out) + for p, E in pivots.items(): out['start'][p] = fm.fid(E) + out['D'] = [[f, t, [s for s in srcs if s not in pivots]] for f, t, srcs in c['D']] + byd = {} + for E_lines, p, D in sel: + for d in D: byd.setdefault((d, mask_of(E_lines)), []).append(p) + out['A'] = [[fm.fid(E), d, sorted(ps)] for (d, E), ps in sorted(byd.items())] + out['A'] + out['C'] = out['C'] + [[fm.fid(FULL), d, sorted(ps)] for (d, E), ps in sorted(byd.items())] + return out, len(sel), tot, len(byd) diff --git a/research/tensor-response-r715/bit470/code/hosting_core.py b/research/tensor-response-r715/bit470/code/hosting_core.py new file mode 100644 index 0000000000..68b536daa9 --- /dev/null +++ b/research/tensor-response-r715/bit470/code/hosting_core.py @@ -0,0 +1,138 @@ +"""Idle-axis hosting: place whole dirty-helper residuals on the pending coordinates of an idle data family. + +A data family that is advanced by an idle child from level a to level b receives the commuting coordinate factors of +that child. If the family is untouched (no local invocation on its pair and no bridge naming its pair) during an +interval of local invocations ending at the child, a helper residual of width w from an invocation inside that +interval may own w of those pending coordinates instead of a bank slot. The child keeps only the remaining +coordinates. This module computes the windows from the recipe and chooses, per replica, how many residuals of each +width each child hosts (exact integer programme), then expands that choice into explicit slot assignments. +Standard library plus scipy for the integer programme; the emitted assignment is re-checked without scipy.""" +import math +from collections import Counter, defaultdict + +def windows(schedule): + """schedule: ordered events dict(kind='local',stage,pair) | dict(kind='bridge',dst,src) | dict(kind='idle',pair,rank,idx). + Returns {idx: (pair, rank, frozenset(stages))} - stages whose invocation lies strictly between the last touch of + the pair and the idle child.""" + last = {}; out = {}; locals_ = [] + for pos, e in enumerate(schedule): + k = e['kind'] + if k == 'local': + locals_.append((pos, e['stage'], e['pair'])); last[e['pair']] = pos + elif k == 'bridge': + last[e['dst']] = pos; last[e['src']] = pos + elif k == 'idle': + p = e['pair']; lo = last.get(p, -1) + st = frozenset(s for q, s, pp in locals_ if lo < q < pos and pp != p) + out[e['idx']] = (p, e['rank'], st) # an idle child acts on other coordinates (or the other member): not a touch + return out + +def patterns(rank, widths, maxk=12): + """multisets of widths with sum <= rank (as sorted tuples)""" + ws = sorted(set(widths), reverse=True); res = [] + def rec(i, cur, s): + if i == len(ws): res.append(tuple(cur)); return + w = ws[i]; k = 0 + while s + k * w <= rank and len(cur) + k <= maxk: + rec(i + 1, cur + [w] * k, s + k * w); k += 1 + rec(0, [], 0) + return res + +def cost(r, m): + return r * math.log(m / r) if r else 0.0 + +def solve(win, copies, avail, m, pad_value=0.0, group=None): + """win: {idx: (pair, rank, stages)}; copies: piece copies per replica of each idx (2V); + avail: {(stage, width): count per replica}; maximise saved idle cost (+ pad_value per hosted residual). + group: optional {width: g} - remaining count of that width per stage must be a multiple of g (exact bank tiling). + Returns {(idx, pattern): copies} and {(idx, width, stage): count}.""" + import numpy as np + from scipy.optimize import milp, LinearConstraint, Bounds + widths = sorted({w for (_, w) in avail}) + var = []; index = {} + for idx, (p, r, st) in win.items(): + for pat in patterns(r, widths): + index[('y', idx, pat)] = len(var); var.append(('y', idx, pat)) + for w in widths: + for s in st: + if avail.get((s, w), 0): + index[('z', idx, w, s)] = len(var); var.append(('z', idx, w, s)) + stages = sorted({s for (s, _) in avail}) + if group: + for w, g in group.items(): + for s in stages: + index[('g', w, s)] = len(var); var.append(('g', w, s)) + n = len(var); c = np.zeros(n); integ = np.ones(n); lb = np.zeros(n); ub = np.full(n, np.inf) + for key, j in index.items(): + if key[0] == 'y': + _, idx, pat = key; r = win[idx][1]; c[j] = -(cost(r, m) - cost(r - sum(pat), m) + pad_value * len(pat)) + rows, lo, hi = [], [], [] + for idx in win: + row = np.zeros(n) + for key, j in index.items(): + if key[0] == 'y' and key[1] == idx: row[j] = 1 + rows.append(row); lo.append(copies); hi.append(copies) + for w in widths: + row = np.zeros(n) + for key, j in index.items(): + if key[0] == 'y' and key[1] == idx: row[j] = key[2].count(w) + if key[0] == 'z' and key[1] == idx and key[2] == w: row[j] = -1 + rows.append(row); lo.append(0); hi.append(0) + for (s, w), a in avail.items(): + row = np.zeros(n) + for key, j in index.items(): + if key[0] == 'z' and key[2] == w and key[3] == s: row[j] = 1 + if group and w in group: + row[index[('g', w, s)]] = group[w]; rows.append(row); lo.append(a); hi.append(a) # used + g*k = avail + else: + rows.append(row); lo.append(0); hi.append(a) + res = milp(c, constraints=LinearConstraint(np.array(rows), lo, hi), integrality=integ, bounds=Bounds(lb, ub), + options=dict(time_limit=600, disp=False)) + assert res.x is not None, res.message + x = [int(round(t)) for t in res.x] + ys = {(k[1], k[2]): x[j] for k, j in index.items() if k[0] == 'y' and x[j]} + zs = {(k[1], k[2], k[3]): x[j] for k, j in index.items() if k[0] == 'z' and x[j]} + return ys, zs, -res.fun + +def expand(win, ys, zs, helpers, V2): + """helpers: {stage: [(helper, width), ...]} for ONE replica; returns list of + (idx, copy, offset, width, stage, helper) and the remainder rank of every (idx, copy). + Copies of a piece are the 2V (side, port) data families; residuals packed from offset 0 in decreasing width.""" + pool = defaultdict(list) # (stage, width) -> helpers + for s, hs in helpers.items(): + for h, w in hs: pool[s, w].append(h) + for k in pool: pool[k].sort() + need = defaultdict(list) # (idx, width) -> stages multiset in deterministic order + for (idx, w, s), cnt in sorted(zs.items()): need[idx, w] += [s] * cnt + out = []; rem = {} + for idx in sorted(win): + pats = sorted([(pat, cnt) for (i, pat), cnt in ys.items() if i == idx], key=lambda t: (-sum(t[0]), t[0])) + copy = 0; ptr = Counter() + r = win[idx][1] + for pat, cnt in pats: + for _ in range(cnt): + off = 0 + for w in sorted(pat, reverse=True): + s = need[idx, w][ptr[idx, w]]; ptr[idx, w] += 1 + h = pool[s, w].pop(0) + out.append((idx, copy, off, w, s, h)); off += w + rem[idx, copy] = r - off; copy += 1 + while copy < V2: rem[idx, copy] = r; copy += 1 + return out, rem + +def save_selection(path, key, ys, zs, val): + """freeze the integer-programme choice (patterns per child, residual stages per child) for stdlib-only replay""" + import json + from pathlib import Path + p = Path(path); d = json.loads(p.read_text()) if p.exists() else {} + d[key] = dict(patterns=sorted([[i, list(pat), n] for (i, pat), n in ys.items()]), + stages=sorted([[i, w, s, n] for (i, w, s), n in zs.items()]), proxy_saving=val) + p.write_text(json.dumps(d, indent=1, sort_keys=True) + '\n') + +def load_selection(path, key): + import json + from pathlib import Path + d = json.loads(Path(path).read_text())[key] + ys = {(i, tuple(pat)): n for i, pat, n in d['patterns']} + zs = {(i, w, s): n for i, w, s, n in d['stages']} + return ys, zs, d['proxy_saving'] diff --git a/research/tensor-response-r715/bit470/code/labels.py b/research/tensor-response-r715/bit470/code/labels.py new file mode 100644 index 0000000000..9d649d090b --- /dev/null +++ b/research/tensor-response-r715/bit470/code/labels.py @@ -0,0 +1,68 @@ +"""Physical frame-label checks and finite-address controls for target additions. +Address field F3, bit values F2: these are deliberately different fields. +The general shared-label proof is in PROOF.md; finite cases are controls. +Chafreaky with OpenAI Codex assistance; Apache-2.0. +""" +import gzip,hashlib,json,struct,sys +from collections import Counter +from itertools import product +from pathlib import Path +import sympy as S +ROOT=Path(__file__).resolve().parents[1] +recdir=Path(sys.argv[1]);word=json.loads(gzip.decompress((ROOT/'data/word.json.gz').read_bytes())) +fs=json.loads((recdir/'frames.json').read_text())['frames'];state=json.loads((recdir/'249-states.json').read_text()) +records=list(struct.iter_unpack('<6i',(recdir/'249-records.bin').read_bytes())) +selected=json.loads((ROOT/'data/mixing.json').read_text());v=word['v'];n=2*v+word['R'];current=[state['initial'][str(i)] for i in range(n)]+[-1] +want=Counter((ph,f,d,s) for phase,ph in [('D',1),('A',2),('B',4),('C',5)] for f,d,ss in word[phase] for s in ss if v<=s<2*v);seen=Counter();projectors={} +for op,a,b,c,f,z in records: + if op==0:assert current[a]==b;current[a]=c + elif op==1: + assert current[a]==current[b]==f + if v<=b<2*v: + assert v<=a<2*v and c==1;seen[z,f,a,b]+=1 + if f not in projectors: + B=S.Matrix(fs[str(f)]['B']) if fs[str(f)]['B'] else S.zeros(0,8) + P=B.T*(B*B.T).inv()*B if B.rows else S.zeros(8);I=S.eye(8) + D=(I-P).row_join(P).col_join(P.row_join(I-P)) + assert P.T==P and P*P==P and P.trace()==fs[str(f)]['dim'] and D*D==S.eye(16) + projectors[f]=D + elif op==2:assert b==n;current[n]=f + else:assert op==3 and b==n;current[n]=-1 +assert seen==want and sum(seen.values())>=112 +assert current[:n]==[state['final'][str(i)] for i in range(n)] + +q=3;m=2;addresses=list(product(range(q),repeat=2*m));index={x:i for i,x in enumerate(addresses)};N=len(addresses) +def permutation(P): + result=[] + for z in addresses: + x,y=z[:m],z[m:];delta=[sum(P[i][j]*(y[j]-x[j]) for j in range(m))%q for i in range(m)] + image=tuple((x[i]+delta[i])%q for i in range(m))+tuple((y[i]-delta[i])%q for i in range(m)) + result.append(index[image]) + assert sorted(result)==list(range(N)) and all(result[result[i]]==i for i in range(N)) + return result +perms={'zero':permutation([[0,0],[0,0]]),'coordinate':permutation([[1,0],[0,0]]), + 'diagonal':permutation([[2,2],[2,2]]),'full':permutation([[1,0],[0,1]])} +def label(bits,pa,pb): + answer=0 + while bits: + low=bits&-bits;i=low.bit_length()-1;bits-=low + j=pa[i] if i>N + return (left^right)|(right< 0 else 0 +Bb, Bd = c['B'][:sb], c['B'][sb:] +assert all(v <= d < 2 * v and all(s >= 2 * v for s in ss) for f, d, ss in Bd), 'B must be helper deliveries only' +assert not any(v <= s < 2 * v for ph in 'DAC' for f, d, ss in c[ph] for s in ss), 'no target operands in the input' +seq = defaultdict(list) +for i, (f, d, ss) in enumerate(Bd): seq[d].append((i, f, ss)) +def chain(t): + out = [] + for i, f, ss in seq[t]: + if not out or out[-1] != f: out.append(f) + return out +def chcost(frs, fin): + ds = [0] + [dim[f] for f in frs] + [dim[fin]] + return sum(cost(b - a) for a, b in zip(ds, ds[1:]) if b > a) +def pref(t, G): + m = Counter() + for i, f, ss in seq[t]: + if F[f] <= F[G]: + for s in ss: m[s] ^= 1 + return frozenset(k for k, b in m.items() if b) +T = range(v, 2 * v); orig = {t: chain(t) for t in T}; fin = {t: c['final'][t] for t in T} +for t in T: assert all(F[a] <= F[b] for a, b in zip(orig[t], orig[t][1:])), 'input target chains nested' +cands = [] +for u in T: + base = chcost(orig[u], fin[u]) + for w in T: + if w == u: continue + for G in orig[w]: + if not F[G] <= F[fin[u]]: continue + pu = pref(u, G) + if not pu or pu != pref(w, G): continue + rest = [f for f in orig[u] if not F[f] <= F[G]] + if not all(F[G] <= F[f] for f in rest): continue + sv = base - chcost([G] + rest, fin[u]) + if sv > 1e-9: cands.append((-sv, u, w, G)) +cands.sort() +mixfrom, mixG, donors = {}, {}, defaultdict(set) +def anc(t): + s = set() + while t in mixfrom: t = mixfrom[t]; s.add(t) + return s +for nsv, u, w, G in cands: + if u in mixfrom or u in anc(w): continue + if w in mixfrom or donors[u]: continue # f2cancel: forbid chained mixing (receiver as donor): the preconditioner/scatter fix is not exact for chains + if w in mixG and not F[mixG[w]] <= F[G]: continue + if any(not F[G] <= F[mixG[x]] for x in donors[u]): continue + mixfrom[u] = w; mixG[u] = G; donors[w].add(u) +saving = sum(chcost(orig[u], fin[u]) - chcost([mixG[u]] + [f for f in orig[u] if not F[f] <= F[mixG[u]]], fin[u]) for u in mixfrom) +order, seen = [], set() +def visit(u): + if u in seen: return + if u in mixfrom: visit(mixfrom[u]) + seen.add(u); order.append(u) +for u in sorted(mixfrom): visit(u) +recv = [u for u in order if u in mixfrom] +w2 = json.loads(json.dumps(c)) +w2['D'] = c['D'] + [[0, u, [mixfrom[u]]] for u in recv] +for u in recv: + w2['scatter'][u - v] = sorted(set(w2['scatter'][u - v]) ^ set(w2['scatter'][mixfrom[u] - v])) +drop = {i for u in recv for i, f, ss in seq[u] if F[f] <= F[mixG[u]]} +keep = [g for i, g in enumerate(Bd) if i not in drop] +newB = list(Bb) +for k in range(h + 1): + newB += [g for g in keep if dim[g[0]] == k] + newB += [[mixG[u], u, [mixfrom[u]]] for u in recv if dim[mixG[u]] == k] +w2['B'] = newB +w2['target_mix'] = dict(rule='y_u += y_w at frame G (after w reaches G); frame-0 preconditioner y_u += y_w; scatter_u ^= scatter_w', + receivers=[[u, mixfrom[u], mixG[u]] for u in recv]) +raw = json.dumps(w2, sort_keys=True, separators=(',', ':')).encode() +(gzip.open if sys.argv[2].endswith('.gz') else open)(sys.argv[2], 'wb').write(raw if not sys.argv[2].endswith('.gz') else raw) +print(json.dumps(dict(receivers=len(recv), mix_dims=dict(Counter(dim[mixG[u]] for u in recv)), target_climb_saving_per_call=round(saving, 3), + B_gates=[len(c['B']), len(newB)], D_gates=[len(c['D']), len(w2['D'])]))) diff --git a/research/tensor-response-r715/bit470/code/row_bound.py b/research/tensor-response-r715/bit470/code/row_bound.py new file mode 100644 index 0000000000..11d3c0d48e --- /dev/null +++ b/research/tensor-response-r715/bit470/code/row_bound.py @@ -0,0 +1,47 @@ +"""Elementary orthogonal-cover row count; no exact group-order formula is needed. + +Over an odd finite field, diagonalize a nondegenerate d-dimensional symmetric +form. Fixing d-1 coordinates of a vector leaves a nonzero-coefficient quadratic +in the last coordinate; hence a prescribed nonzero norm has at most 2*q^(d-1) +solutions. The orthogonal complement of such a vector is nondegenerate. +Induction while choosing the images of a diagonal orthogonal basis gives +|O_m(q)| <= product(d=1..m, 2*q^(d-1)) = 2^m*q^(m*(m-1)/2). +Since q>=3, this is strictly below q^(m*(m+1)/2). Physical family stock adds +ceil(log_3(physical)) to this uniform exponent. The restored-row divisor +argument in PR234/PR386 multiplies it by the halving depth, then adds the +unchanged 9909 and 252 allowances. Routing-time bills still use m^2. + +This arithmetic checker verifies the exponent calculation and strict margins; +the preceding elementary induction is the all-q proof, not a finite q sample. +chafreaky with OpenAI Codex assistance, Apache-2.0. +""" +from fractions import Fraction + +def bound(m,physical,child,depth): + assert m>1 and physical>0 and 00 + assert m**depth>2*child**depth + overhead=0 + while 3**overhead<=physical:overhead+=1 + column_exponent=sum(d-1 for d in range(1,m+1)) + assert column_exponent==m*(m-1)//2 and 2**m<3**m + cover_exponent=column_exponent+m + stock_exponent=cover_exponent+overhead + assert physical<3**overhead and 2**m*physical<3**(m+overhead) + row=depth*stock_exponent+9909+252 + assert row<20161 and Fraction(10**6)-Fraction(51*20161,25)>0 + return dict(method='successive nonzero-norm vectors in nondegenerate complements', + minimum_q=3,column_exponent=column_exponent,factor_two_power=m, + cover_exponent=cover_exponent,physical_families=physical, + physical_exponent=overhead,stock_exponent=stock_exponent, + halving_depth=depth,complete_row_coefficient=row,retained_row_coefficient=20161) + +def controls(): + rejected=[] + for name,args in [('false two-level halving',(78,9609,56,2)), + ('understated row reserve',(100,9609,90,7))]: + try:bound(*args) + except AssertionError:rejected.append(name) + else:raise AssertionError('accepted '+name) + # The original coarse enumeration bound does NOT fit this retained row cap. + assert 3*(78**2+1)+9909+252==28416>20161 + return rejected diff --git a/research/tensor-response-r715/bit470/data/kernel-selection.json b/research/tensor-response-r715/bit470/data/kernel-selection.json new file mode 100644 index 0000000000..e464e87044 --- /dev/null +++ b/research/tensor-response-r715/bit470/data/kernel-selection.json @@ -0,0 +1,1228 @@ +{ + "entries": [ + [ + [ + 0 + ], + 747, + [ + 814, + 776 + ] + ], + [ + [ + 0 + ], + 762, + [ + 799, + 776 + ] + ], + [ + [ + 0 + ], + 748, + [ + 814, + 761, + 799 + 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/dev/null +++ b/research/tensor-response-r715/code/algebra-selection.json @@ -0,0 +1,29 @@ +{ + "source_sha256": "7721fa65c554b99e739b775e0015a46bb31d9afedd2172b0ad807e7cbf160757", + "candidate_sha256": "e60a092a57e71c848380ee27f0096b68c5050b18b2b5b9644d47478d76dae26c", + "gates": [ + 1197, + 2102, + 2111, + 2112, + 2117, + 2118, + 2407, + 2408, + 2411, + 2413, + 2465, + 2476, + 2523, + 2524, + 2538, + 2539, + 2581, + 2582, + 2599, + 2601, + 2639, + 2663 + ], + "mechanism": "immutable-source response-kernel packet deletion" +} diff --git a/research/tensor-response-r715/code/algebra_constructor.py b/research/tensor-response-r715/code/algebra_constructor.py new file mode 100644 index 0000000000..480e9af49b --- /dev/null +++ b/research/tensor-response-r715/code/algebra_constructor.py @@ -0,0 +1,60 @@ +"""Exact response-kernel packet deletion constructor. +Scalar/frame checker adapted from the existing prefix.py checker in tensor-normalization. +No floating-point arithmetic, network, native compilation, or third-party Python dependency. +""" +from pathlib import Path +from collections import Counter +from fractions import Fraction as Q +import argparse,copy,hashlib,json +SOURCE='e2ab3c0c4f25e78f96f14a548a795adaefda5bacbb01cd0ea61950f029aadf63' +GATES=[1426,2331,2340,2341,2346,2347,2636,2637,2640,2642,2694,2705,2752,2753,2767,2768,2810,2811,2828,2830,2868,2892] +from schur_constructor import check, rank + +def responses(z): + v=z['v'];n=2*v+z['R'];r=[0]*n + for t in range(v):r[v+t]=1<=2*z['v'] for e in z['A']) + assert all(z['v']<=e[1]<2*z['v'] for e in z['B']) + n=2*z['v']+z['R'];x=[1< 1 +# ---------------- complex: two moments and the parent's invoice with the hosted stock +PC = {int(r): n for r, n in ca['profile'].items()}; mc, WC = 89, ca['live']; EC = sum(PC.values()) +massc = sum(r * z for r, z in PC.items()); assert mc * WC - massc == 408 * ch['replicas'] +rc = M.certify(PC, mc, WC, True); b = Q(int(Q(rc['lower']) * 10 ** 18), 10 ** 18) +assert b>Q(prior['complex_lower']) +fbc = 32 * mc * mc * EC +l3, h3 = Other.moment(mc, WC, list(PC.items()), b); b3, bh3 = Other.moment(mc, WC, [(1, fbc)], b); assert h3 + bh3 / 10 ** 16 < 1 +bn=b+Q(1,10**18) +l4,h4=Other.moment(mc,WC,list(PC.items()),bn);b4,bh4=Other.moment(mc,WC,[(1,fbc)],bn);assert l4+b4/10**16>1 +physc=ch['physical'];Rc=560;v=120;hc=9;lc=11;tc=ch['replicas'];kc=5 +checks=ch['source_local_checks'];private_centers=ch['private_centers'] +compilerc=64*(mc+1)**3 +macros=max(z['scalar_macros'] for z in checks.values());children=sum(checks['forward']['paid_profile'].values()) +adapters=16*(macros+children+2*v+Rc+private_centers)+64*mc +local_bound=max(z['real_component_primitive_bound'] for z in checks.values())+16*Rc+adapters*compilerc +scalar_primitives=tc*((kc+1)*checks['forward']['real_component_primitive_bound']+kc*checks['backward']['real_component_primitive_bound']) +bridge_adds=6*(kc-1)*v*tc;terminal_shifts=kc*v*tc;terminal_moves=2*kc*v*tc +# Retain the full unhosted idle count as an overcharge, and charge all helper +# selectors plus two additional hosting factors per helper occurrence. +nonlocal_items=4*v*tc*lc+2*v*tc*lc+6*lc*tc*Rc+(6*kc-4)*v*tc+bridge_adds+terminal_shifts+terminal_moves+WC+physc +outside=8*nonlocal_items+64*mc +pervertex=scalar_primitives+bridge_adds+terminal_shifts+terminal_moves+WC+(lc*tc*adapters+outside)*compilerc+64*physc+lc*tc*Rc*16 +r_ = mc // 2; group = 2 ** (r_ * r_) * math.prod(2 ** (2 * i) - 1 for i in range(1, r_ + 1)); stock = group * physc +smass=group*massc;logical=group*pervertex+64;router=compilerc*(logical+1)*(stock+1)**2 +GG, EE, C0 = 1 << 30000, 1 << 100000, 1 << 210000; BB = smass + EE +literal = 2 * GG * stock ** 2 + 8 * smass + 4 * stock + 4 + 32 * mc +assert local_bound<1<<48 and logical<1<<6050 and router2*max(PC)**3 +assert (pervertex+1)**3*(EC+1)**3<1<<1024 +from complex_rows import bound as complex_row_bound, controls as complex_row_controls +complex_rows=complex_row_bound(stock.bit_length());complex_row_rejected=complex_row_controls() +rowc=complex_rows['retained_row_coefficient'] +ALLOW=max(ALLOW,rowc) +# ---------------- outer assembly exactly as #434's combined.py +eta = beta = Q(1, 10 ** 18); grid = Q(1, 10 ** 18); s = min(c, (1 - beta) * b) - Q(1, 10 ** 24) +assert 0 < s < c and s < (1 - beta) * b +chain = [Q(384599, 10 ** 10)]; cutoffs = [] +def ceil(x): return -((-x.numerator) // x.denominator) +for j in range(6): + old = chain[-1]; a = (1 - s) * s + s * old + gap = min(s - a, 1 - a - s, 1 - a - s * (1 - old), 1 - s); assert old < a < s < 1 - a and gap > 0 + cutoff = max(ceil(36 / gap ** 2), ceil(2 * (4 + charged_two) / gap)); assert cutoff * gap ** 2 >= 36 and cutoff * gap >= 2 * (4 + charged_two) + cutoffs.append(dict(gap=str(gap), cutoff_log2=str(cutoff))); chain.append(a) +q = chain[-1] * (1 - 2 * eta); margin = (1 - eta) * q / (1 + q); ticks = margin / grid; k = grid * ((ticks.numerator - 1) // ticks.denominator) +bridge = {'semantic': {'C0': {'base': 2, 'exponent': 210000}, 'strict_literal_gap': 1}, 'rows': {'degree_gap': Q(10 ** 6) - Q(51 * ALLOW, 25)}} +a = Outer.assembly(chain[-1], b, bridge, k, eta=eta, beta=beta) +assert len(a['strict_constraints']) == 47 and all(x > 0 for x in a['strict_constraints'].values()) +controls = [] +for name, kk, ee, bb in [('next_grid', k + grid, eta, beta), ('zero_eta', k, Q(0), beta), ('zero_beta', k, eta, Q(0)), ('unit_beta', k, eta, Q(1))]: + try: Outer.assembly(chain[-1], b, bridge, kk, eta=ee, beta=bb) + except AssertionError: controls.append(name) + else: raise AssertionError(name) +# kappa the bit supplier alone supports: the same bootstrap and strict assembly with a hypothetical complex saving b_hyp that does not bind +def bootstrap(s_): + ch = [Q(384599, 10 ** 10)] + for j_ in range(6): ch.append((1 - s_) * s_ + s_ * ch[-1]) + q_ = ch[-1] * (1 - 2 * eta); mg = (1 - eta) * q_ / (1 + q_); tk = mg / grid + return ch, grid * ((tk.numerator - 1) // tk.denominator) +b_hyp = c / (1 - beta) + Q(1, 10 ** 24); s_bit = min(c, (1 - beta) * b_hyp) - Q(1, 10 ** 24); assert s_bit < c +chain_bit, k_bit = bootstrap(s_bit) +a_bit = Outer.assembly(chain_bit[-1], b_hyp, bridge, k_bit, eta=eta, beta=beta) +assert len(a_bit['strict_constraints']) == 47 and all(x > 0 for x in a_bit['strict_constraints'].values()) and k_bit >= k +try: Outer.assembly(chain_bit[-1], b_hyp, bridge, k_bit + grid, eta=eta, beta=beta) +except AssertionError: pass +else: raise AssertionError('bit-only next grid point accepted') +parent_k = Q(prior['kappa']); ref_k = Q(opt['--parent-kappa']) if '--parent-kappa' in opt else parent_k +res = dict(status='PASS_CONDITIONAL_R740_REPLICATED_HOSTING_ASSEMBLY' if L == 9 else 'PASS_CONDITIONAL_%s_STAGE_HOSTED_ASSEMBLY' % {11: 'ELEVEN', 13: 'THIRTEEN', 7: 'SEVEN', 5: 'FIVE'}[L], kappa=str(k), kappa_decimal=format(float(k), '.18f'), + bit_lower=str(c), complex_lower=str(b), binding_component='bit' if c < (1 - beta) * b else 'complex', + gain_over_pr442_percent=float(100 * (k / parent_k - 1)), reference_kappa=str(ref_k), reference_label=opt.get('--label', '#442'), gain_over_reference_percent=float(100 * (k / ref_k - 1)), + halving_depth=DEPTH, external_row_allowance=ALLOW, bit_only_kappa=str(k_bit), bit_only_kappa_decimal=format(float(k_bit), '.18f'), bit_only_hypothetical_complex_b=str(b_hyp), + complex_profile=ca['profile'], complex_wrapper_extra_primitives_per_entry=lc*tc*Rc*16, bit=dict(live=W, physical=physical, maxchild=max(P), rank_mass=mass, hosted_residuals=audit['hosted_residuals'], + prefix_bits=prefix.bit_length(), charged_prefix_bits=charged_prefix, coefficient_bits=coefficient.bit_length(), prefix_method='Independent emitted physical-family row-L1 recurrence, including every bridge and invocation', + two_level_coefficient_bits=two.bit_length(), charged_two_level_coefficient_bits=charged_two, row_coefficient=row), + complex=dict(live=WC, physical=physc, maxchild=max(PC), rank_mass=massc, hosted_residuals=ch['hosted_residuals'], + physical_stock_bits=stock.bit_length(),router_bits=router.bit_length(),literal_bits=literal.bit_length(),row_coefficient=rowc,row_bound=complex_rows,local_bound=local_bound,pervertex=pervertex), + strict_outer_constraints={n: str(x) for n, x in a['strict_constraints'].items()}, outer_controls=controls, bootstrap=cutoffs, + bit_template_sha256=bg['template_sha256'], complex_template_sha256=ch['template_sha256'], emitted_program_sha256=bg['emitted_program_sha256'], bank_assignments=audit['bank_assignments'], bit_profile=audit['profile'], parent_kappa=str(parent_k), additional_interface='PR442 whole-family hosting; PR450 target-label lemma; full-nine-axis two-sided monomial transport; same-owner borrowed identity spectators; paid active complements; complete invocations',route_extra=ROUTE_EXTRA,dispatch_overhead=100000) +outp.write_text(json.dumps(res, indent=2) + '\n') +print(res['status'], res['kappa_decimal'], 'binding', res['binding_component'], 'gain over %s %.4f%%' % (res['reference_label'], res['gain_over_reference_percent'])) diff --git a/research/tensor-response-r715/code/audit_whole.py b/research/tensor-response-r715/code/audit_whole.py new file mode 100644 index 0000000000..be2c2a384e --- /dev/null +++ b/research/tensor-response-r715/code/audit_whole.py @@ -0,0 +1,161 @@ +"""Independent audit for whole residuals pooled across replicas. No cross-family splitting. +No generator/flow imports. Source-bound standard-library verification. +""" +from pathlib import Path +from collections import Counter,defaultdict +import json,gzip,hashlib,copy,sys +sys.dont_write_bytecode=True +read=lambda p:json.loads(Path(p).read_text()) +def load(p):return json.loads(gzip.decompress(Path(p).read_bytes())) +def audit(t,b,widths): + L,T,M=t['stages'],t['replicas'],t['m'];R=len(widths[0,0]);K=(L-1)//2;F=240*K;DATA=F*T + assert (L,T,M,R)==(11,8,78,740) and t['live']==DATA + mutable={'_expected_registry','version','live','banks_per_stage','hosting','helper_route','calls','schedule'} + assert set(t)==(set(b)-{'_expected_registry'})|{'hosting'} + assert {k:v for k,v in t.items()if k not in mutable}=={k:v for k,v in b.items()if k not in mutable} + schedule=copy.deepcopy(b['schedule']);j=0 + for e in schedule: + if e['kind']=='idle':e['idx']=j;j+=1 + assert t['schedule']==schedule + last={};local=[];win={};rank={};pair={};lo={};stagepair={} + for pos,e in enumerate(schedule): + if e['kind']=='local_cover_sweep':local.append((pos,e['stage'],e['pair']));last[e['pair']]=pos;stagepair[e['stage']]=e['pair'] + elif e['kind']=='bridge':last[e['dst']]=pos;last[e['src']]=pos + elif e['kind']=='idle': + i=e['idx'];win[i]={s for q,s,p in local if last.get(e['pair'],-1)0 and win[i]} + assert hs['banks_per_stage']=={str(s):0 for s in range(L)} and t['banks_per_stage']==hs['banks_per_stage'] + # Every physical coordinate is accounted globally, including distinct idle children. + occupied={};owned={};used=Counter();crossrep=0;crosschild=0;maxpieces=0 + for s,rep,h,segs in hs['pieces']: + assert 0<=s0 and o+w<=rank[i] + hostrep,rel=divmod(f,F);pp,port=divmod(rel,120);assert pp//2==pair[i] + for a in range(lo[i]+o,lo[i]+o+w): + assert 0<=a1 + assert set(owned)=={(s,rep,h)for s in range(L)for rep in range(T)for h in range(R)} + summaries={};paid=Counter();remainder=Counter() + for i,r in rank.items(): + if not r:continue + cc=Counter() + for rep in range(T): + for cp in range(240): + f=rep*F+pair[i]*240+cp;q=r-used[i,f];assert q>=0;cc[q]+=1 + if q:paid[q]+=1;remainder[q]+=1 + summaries[str(i)]={str(k):v for k,v in sorted(cc.items())} + assert hs['remainders']==summaries + assert len(t['calls'])==len(b['calls'])==L*T + seen=set();dg=hashlib.sha256();events=0 + for c,bc in zip(t['calls'],b['calls']): + assert {k:v for k,v in c.items()if k!='owners'}=={k:v for k,v in bc.items()if k!='owners'} + s,rep=c['stage'],c['replica'];assert(s,rep)not in seen;seen.add((s,rep)) + assert len(c['owners'])==240+R and c['owners'][:240]==bc['owners'][:240] + for h,o in enumerate(c['owners'][240:]): + z=owned[s,rep,h];assert o==[z[0][1],['hosted-whole-pool',z[0][0],z[0][2],z[0][3]]] + for z in t['local_programs'][c['orientation']]: + if z[0]==0 and z[4]:paid[z[4]]+=1 + if z[0]==2:paid[z[5]]+=1 + x=[z[0],c['owners'][z[1]]] + if z[0]==0:x.extend(z[2:]) + else:x.extend([c['owners'][z[2]]if z[2]<240+R else[DATA,['private',0]],*z[3:]]) + dg.update(json.dumps(x,separators=(',',':')).encode()+b'\n');events+=1 + assert M*DATA-sum(r*n for r,n in paid.items())==3264 and M**3>2*max(paid)**3 + return dict(profile={str(r):n for r,n in sorted(paid.items())},live=DATA,physical=DATA+9,hosted_residuals=len(owned),bank_assignments=0,split_residuals=sum(len(z)>1 for z in owned.values()),rank_mass=sum(r*n for r,n in paid.items()),deficit=3264,maxchild=max(paid),paid_calls=sum(paid.values()),cross_replica_residuals=crossrep,cross_child_residuals=crosschild,max_owner_pieces=maxpieces,physical_coordinates_checked=len(occupied),emitted_events=events,emitted_program_sha256=dg.hexdigest(),remainder_profile=dict(remainder)) +def scalar_dispatch(t): + L,T,R,V=11,8,740,120;K=5;n=2*K*V+L*R;loc=2*V+R;calls={(c['stage'],c['replica']):c for c in t['calls']};checked=0 + for rep in range(T): + vals=[1<=2+r['max_owner_pieces'] + controls=[] + def reject(name,fn): + q=copy.deepcopy(t);fn(q) + try:audit(q,b,widths) + except(AssertionError,KeyError,IndexError,TypeError):controls.append(name) + else:raise AssertionError('mutation accepted '+name) + pcs=lambda q:q['hosting']['pieces'];p0=lambda q:pcs(q)[0];z0=lambda q:p0(q)[3][0] + reject('omitted residual',lambda q:pcs(q).pop()) + reject('duplicate residual',lambda q:pcs(q).append(copy.deepcopy(p0(q)))) + reject('width changed',lambda q:z0(q).__setitem__(3,z0(q)[3]+1)) + reject('negative offset',lambda q:z0(q).__setitem__(2,-1)) + reject('out of stock family',lambda q:z0(q).__setitem__(1,9600)) + reject('changed child',lambda q:z0(q).__setitem__(0,999)) + reject('unaccounted foreign replica',lambda q:q['calls'][0]['owners'][240].__setitem__(0,9600)) + reject('omitted remainder',lambda q:q['hosting']['remainders'].pop(next(iter(q['hosting']['remainders'])))) + reject('stale stage count',lambda q:q.__setitem__('stages',9)) + reject('understated live stock',lambda q:q.__setitem__('live',9599)) + reject('changed parent scalar',lambda q:q['local_programs']['forward'][0].__setitem__(0,999)) + reject('wrong local source hash',lambda q:q['calls'][0].__setitem__('local_hash','0'*64)) + reject('wrong provider source hash',lambda q:q['hosting']['program_registry']['base'].__setitem__('word_sha256','0'*64)) + reject('wrong call orientation',lambda q:q['calls'][0].__setitem__('orientation','reverse')) + if variant_calls: + reject('wrong variant dispatch',lambda q:q['calls'][0].__setitem__('orientation','variant-forward')) + reject('extra variant dispatch record',lambda q:q['hosting']['variant_calls'].append([0,0])) + def outside(q): + p=p0(q);i=p[3][0][0];ss=set(q['hosting']['windows'][str(i)][2]);p[0]=next(s for s in range(11)if s not in ss) + reject('outside idle window',outside) + def alias(q): + ps=pcs(q);a=ps[0];b=next(p for p in ps[1:]if p[0]==a[0]and p[3][0][3]==a[3][0][3]);b[3][0]=copy.deepcopy(a[3][0]) + reject('cross-residual physical alias',alias) + def split(q): + z=z0(q);ww=z[3];assert ww>1;z[3]=1;p0(q)[3].append([z[0],z[1]+1,0,ww-1]) + reject('forbidden cross-family residual split',split) + r['fresh_mixed_unbanked_scalar_replay']=scalar_dispatch(t) + r.update(status='PASS_INDEPENDENT_WHOLE_RESIDUAL_GLOBAL_POOL',template_sha256=g['template_sha256'],mutations_rejected=controls,route_extra_required=2+r['max_owner_pieces'],operator_identity='Each helper remains in one physical family. Same-family coordinate factorization and unchanged idle-window commutation; no family-space factorization.',scope='Finite changed owner, physical-coordinate, chronological-window, instruction and profile audit. Inherits dirty invocation and all-size compiler interfaces. No Lean certificate.') + out.write_text(json.dumps(r,indent=2)+'\n');print(json.dumps(r),flush=True) +if __name__=='__main__':main(*map(Path,sys.argv[1:])) diff --git a/research/tensor-response-r715/code/borrowed_audit.py b/research/tensor-response-r715/code/borrowed_audit.py new file mode 100644 index 0000000000..5a8745dd3b --- /dev/null +++ b/research/tensor-response-r715/code/borrowed_audit.py @@ -0,0 +1,134 @@ +"""Independent stdlib replay of whole-family footprint ownership and paid axes. +No import of the emitter or native optimizer. The whole9 packing is not the +invalid direct-sum replacement of a single helper by two smaller families. +""" +import json,gzip,hashlib,sys,copy +from pathlib import Path +from collections import Counter +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +sha=lambda p:hashlib.sha256(Path(p).read_bytes()).hexdigest() +def read(p): + p=Path(p);b=p.read_bytes();return json.loads(gzip.decompress(b)if p.suffix=='.gz'else b) +def audit(t,phase,base,ka,source,variant_programs,variant_checks): + V,R,T,K,L,H=120,560,7,5,11,9;W=8400 + assert(t['m'],t['h'],t['replicas'],t['live'],t['stages'])==(89,H,T,W,L) + assert t['private_centers']==ka['private_centers']and t['physical']==W+R+ka['private_centers']+2 + assert t['source_bindings']==source + assert t['variant_stages']==list(range(11)) + assert t['provider_programs']=={'base':base['local_programs'],'kernel':variant_programs} + assert t['provider_checks']=={'kernel':variant_checks} + assert t['kernel_program_hashes']=={o:hashlib.sha256(canon(p)).hexdigest()for o,p in variant_programs.items()} + for ori,pp in variant_programs.items(): + assert t['kernel_program_hashes'][ori]==variant_checks[ori]['sha256'] + hh=Counter(z[-1]for z in pp if z[0]in('climb','center')) + assert dict(hh)=={int(r):n for r,n in ka['local_profile'].items()} + wrap=[z for z in pp if z[0]=='monomial-wrapper'];assert len(wrap)==158 + assert t['baseline_program_hashes']=={o:hashlib.sha256(canon(p)).hexdigest()for o,p in base['local_programs'].items()} + widths=ka['widths'];pivot=[h for h,w in enumerate(widths)if w==8] + assert t['kernel_pivot_helpers']==pivot and len(pivot)==79 + expected_profiles={'base':{'1':1912,'2':784,'3':168,'4':224,'5':392,'8':24},'kernel':ka['local_profile']} + assert t['local_profiles']==expected_profiles + expected_schedule=copy.deepcopy(base['execution_schedule']);expected_schedule[-1]['families']=[0,W];expected_schedule[-1]['charged_calls_per_cover']=W + assert t['execution_schedule']==expected_schedule + last={};local_positions=[];win={};idle={};stage_info={} + for pos,e in enumerate(t['execution_schedule']): + if e['kind']=='local': + s=e['stage'];assert s not in stage_info;stage_info[s]=e;last[e['pair']]=pos;local_positions.append((pos,s,e['pair'])) + elif e['kind']=='bridge':last[e['dst']]=pos;last[e['src']]=pos + elif e['kind']=='idle': + i,pair=e['idx'],e['pair'];assert i not in idle;idle[i]=e;lo=last.get(pair,-1) + ss={s for pp,s,p in local_positions if lo0 and x['active_hosted']>0) + test('omitted paid complement coordinate',lambda q:q['idle_children'][ix]['paid_complement_coordinates'].pop()) + test('forged complement rank',lambda q:q['idle_children'][ix].__setitem__('rank',t['idle_children'][ix]['rank']+1)) + test('dropped idle complement',lambda q:q['idle_children'].pop()) + test('dropped mandatory final translation',lambda q:q['execution_schedule'].pop()) + test('corrupted actual normalized program',lambda q:q['provider_programs']['kernel']['forward'].pop()) + test('corrupted invocation program hash',lambda q:q['calls'][ic].__setitem__('local_program_sha256','0'*64)) + test('changed inherited controller',lambda q:q['execution_schedule'][1].__setitem__('pair',4)) + test('borrowed spectator aliases active direction',lambda q:q['calls'][ic]['owners'][h][1].__setitem__(5,1)) + test('understated physical workspace',lambda q:q.__setitem__('physical',q['physical']-1)) + test('forged paid profile',lambda q:q['profile'].__setitem__('8',q['profile']['8']-1)) + got.update(template_sha256=hashlib.sha256(canon(t)).hexdigest(),source_bindings=sources,mutations_rejected=mut) + out.write_text(json.dumps(got,indent=2)+'\n');print(json.dumps(got,indent=2)) +if __name__=='__main__':main() diff --git a/research/tensor-response-r715/code/borrowed_emit.py b/research/tensor-response-r715/code/borrowed_emit.py new file mode 100644 index 0000000000..258c1e1b1d --- /dev/null +++ b/research/tensor-response-r715/code/borrowed_emit.py @@ -0,0 +1,90 @@ +"""Frozen kernel whole-nine-axis footprint construction. No compressed family aliases. +The local words and exact two-sided monomial wrapper are separate source-bound +providers. This file constructs their complete physical ownership and paid +active-complement partition, not an uncharged change of provider semantics. +""" +import json,gzip,hashlib,sys +from pathlib import Path +from collections import Counter,defaultdict,deque +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +sha=lambda p:hashlib.sha256(Path(p).read_bytes()).hexdigest() +def read(p): + p=Path(p);b=p.read_bytes();return json.loads(gzip.decompress(b)if p.suffix=='.gz'else b) +def emit(selpath,basepath,phasepath,kernelpath,auditpath,wrappath,outpath,providerpath): + sel,base,phase,kernel,ka,wr=map(read,[selpath,basepath,phasepath,kernelpath,auditpath,wrappath]) + providerpath=Path(providerpath);vp=read(providerpath/'NORMALIZED-PROGRAMS.json.gz');vc=read(providerpath/'NORMALIZED-CHECKS.json');vword=read(providerpath/'CANONICAL-WORD.json.gz') + for ori,prog in vp.items(): + assert hashlib.sha256(canon(prog)).hexdigest()==vc[ori]['sha256'] + assert vc[ori]['all_columns']==800 and vc[ori]['wrapper_helpers']==79 + assert vc[ori]['paid_profile']==ka['local_profile'] + T=sel['replicas'];V,R,H,K,L=120,560,9,5,11;W=1200*T + assert T==7 + assert ka['canonical_word_sha256']==sha(kernelpath)and ka['all_target_rows_correct']and ka['all_live_source_and_helper_rows_restored'] + widths=[9-len(kernel['frames'][f])for f in kernel['start'][240:]];assert len(widths)==R and Counter(widths)=={9:481,8:79} + schedule=json.loads(json.dumps(base['execution_schedule']));schedule[-1]['families']=[0,W];schedule[-1]['charged_calls_per_cover']=W + win={int(i):(p,r,set(ss))for i,(p,r,ss)in base['hosting']['windows'].items()} + idle={e['idx']:e for e in schedule if e['kind']=='idle'} + expected_stages=set(range(11));assert{int(s)for s,n in sel['kernel_calls_perstage'].items()if n}==expected_stages + assert all(n in(0,T)for n in sel['kernel_calls_perstage'].values()) + stagequeue=defaultdict(deque) + for i,w,s,n in sel['stages']: + assert s in win[i][2] + stagequeue[i,w].extend([s]*n) + helpers={} + for s in range(L): + for w in(8,9):helpers[s,w]=deque((rep,h)for rep in range(T)for h in range(R)if (widths[h]if s in expected_stages else 9)==w) + slots=[];cpnext=Counter();active=defaultdict(set) + for i,pat,nn in sel['patterns']: + rr=win[i][1];assert sum(pat)<=rr and 9*len(pat)<=89 and pat.count(8)<=89-rr + for _ in range(nn): + cp=cpnext[i];cpnext[i]+=1 + for j,w in enumerate(pat): + off=sum(pat[:j]);s=stagequeue[i,w].popleft();rep,h=helpers[s,w].popleft() + slots.append([i,cp,off,9,w,s,rep,h]);active[i,cp].update(range(off,off+w)) + assert all(cpnext[i]==240*T for i in win)and not any(stagequeue.values())and not any(helpers.values()) + host={(s,rep,h):(i,cp,off,fp,w)for i,cp,off,fp,w,s,rep,h in slots};assert len(host)==L*T*R + profiles={'base':{int(r):n for r,n in sel['local_profile'].items()},'kernel':{int(r):n for r,n in ka['local_profile'].items()}} + bh={o:hashlib.sha256(canon(program)).hexdigest()for o,program in base['local_programs'].items()} + calls=[];paid=Counter();spectators=defaultdict(set);physical_slots=[];stage_owner_child={} + fullbasis={} + for port,rec in enumerate(phase['recipes']): + axes=set(a for ch in rec['idle_children']for a in ch['orthogonal_axes']);axes.add(rec['q']);assert len(axes)==89 + axes=sorted(axes);assert all((a&b).bit_count()%2==int(i==j)for i,a in enumerate(axes)for j,b in enumerate(axes));fullbasis[port]=axes + for e in schedule: + if e['kind']!='local':continue + s,p=e['stage'],e['pair'];ori='backward'if e['reverse']else'forward';provider='kernel'if s in expected_stages else'base' + for rep in range(T): + owners=[[rep*1200+(2*p+j//V)*V+j%V,[1,s,j%V]]for j in range(240)] + for h in range(R): + i,cp,off,fp,w=host[s,rep,h];hr,sp=divmod(cp,240);side,port=divmod(sp,120) + f=hr*1200+(2*win[i][0]+side)*120+port;ch=idle[i]['phase_children'][side];ax=phase['recipes'][port]['idle_children'][ch]['orthogonal_axes'];spec=None + assert (s,f)not in stage_owner_child or stage_owner_child[s,f]==i;stage_owner_child[s,f]=i + if w==8: + spec=next(a for a in fullbasis[port]if a not in ax and a not in spectators[s,f]);spectators[s,f].add(spec) + owners.append([f,[5,i,off,fp,w,spec]]);physical_slots.append([i,cp,off,fp,w,s,rep,h,spec]) + calls.append(dict(stage=s,replica=rep,pair=p,orientation=ori,provider=provider,owners=owners, + local_program_sha256=bh[ori]if provider=='base'else vc[ori]['sha256'], + local_word_sha256=sha(kernelpath)if provider=='kernel'else None, + wrapper_sha256=sha(wrappath)if provider=='kernel'else None)) + paid.update(profiles[provider]) + children=[] + for i,e in sorted(idle.items()): + for cp in range(240*T): + rep,sp=divmod(cp,240);side,port=divmod(sp,120);ch=e['phase_children'][side];ph=phase['recipes'][port]['idle_children'][ch] + complement=[k for k in range(e['rank'])if k not in active[i,cp]];rr=len(complement) + children.append(dict(idle=i,replica=rep,side=side,port=port,phase_child=ch,rank=rr, + active_hosted=e['rank']-rr,paid_complement_coordinates=complement,translation_after=ph['translation_after'])) + if rr:paid[rr]+=1 + assert dict(paid)=={int(r):n for r,n in sel['full_profile'].items()} + sources={k:sha(p)for k,p in zip(['selection','base_template','data_phase','kernel_word','kernel_local_audit','kernel_wrapper'],[selpath,basepath,phasepath,kernelpath,auditpath,wrappath])} + sources.update(kernel_normalized_programs=sha(providerpath/'NORMALIZED-PROGRAMS.json.gz'),kernel_normalized_checks=sha(providerpath/'NORMALIZED-CHECKS.json'),kernel_canonical_word=sha(providerpath/'CANONICAL-WORD.json.gz')) + t=dict(provider_programs={'base':base['local_programs'],'kernel':vp},kernel_program_hashes={o:z['sha256']for o,z in vc.items()},provider_checks={'kernel':vc},version='kernel-whole9-borrowed-spectator-v1',m=89,h=9,replicas=T,live=W,stages=L, + physical=W+R+len(vword['centers'])+2,private_centers=len(vword['centers']),local_profiles=profiles,execution_schedule=schedule,calls=calls,idle_children=children, + hosting=dict(windows={str(i):[p,r,sorted(ss)]for i,(p,r,ss)in win.items()},slots=physical_slots), + source_bindings=sources,baseline_program_hashes=bh,kernel_pivot_helpers=[h for h,w in enumerate(widths)if w==8], + variant_stages=sorted(expected_stages),profile=dict(sorted(paid.items())),rank_mass=sum(r*n for r,n in paid.items()),deficit=408*T, + route_decoder='kind5: active=child.orthogonal_axes[off:off+w]; footprint=active+[spectator] iff w8; sigma columns=footprint+sorted(full89basis-minusfootprint). Full basis is q plus union of idle orthogonal axes. Conjugate entire normalized helper by sigma, extend identity on remaining80; inherited cover route composes d*sigma^-1.',wrapper_placement='before and after the complete selected local word; full9 pre=R^-1, post=L^-1, same orientation convention as kernel wrapper certificate', + complement_rule='Every helper occupies all9 physical axes in one family. Rank8 activeblock lies in idlechild; ninth spectator is an actual orthogonal axis outside that child, reused only across complete sequential calls. Paid complement is exactly child minus activeblocks.', + scope='Exact physical ownership and paid partition. Local scalar/formal-column and two-sided Gaussian monomial certificates are source-bound separate providers; retained all-size/hosting interfaces remain conditional.') + assert 89*W-t['rank_mass']==t['deficit'];t=json.loads(json.dumps(t));b=canon(t);Path(outpath).write_bytes(gzip.compress(b,mtime=0));return dict(template_sha256=hashlib.sha256(b).hexdigest(),profile=t['profile'],calls=len(calls),whole9_slots=len(slots),variant_calls=sum(c['provider']=='kernel'for c in calls),sources=sources) +if __name__=='__main__':print(json.dumps(emit(*sys.argv[1:]),indent=2)) diff --git a/research/tensor-response-r715/code/build-local.py b/research/tensor-response-r715/code/build-local.py new file mode 100644 index 0000000000..41a77e9d69 --- /dev/null +++ b/research/tensor-response-r715/code/build-local.py @@ -0,0 +1,24 @@ +"""Build the changed E510 program using source-bound upstream scalar/emission code. +No network access. All paths are explicit CLI arguments. No global chdir. +""" +import argparse,gzip,json,hashlib,sys +from pathlib import Path +sys.dont_write_bytecode=True +p=argparse.ArgumentParser();p.add_argument('--word',type=Path,required=True);p.add_argument('--vendor',type=Path,required=True);p.add_argument('--routes',type=Path,required=True);p.add_argument('--clifford',type=Path,required=True);p.add_argument('--out',type=Path,required=True);p.add_argument('--skip-phase',action='store_true');a=p.parse_args();a.out.mkdir(parents=True,exist_ok=True) +word_bytes=a.word.read_bytes();word_bytes=gzip.decompress(word_bytes) if a.word.suffix=='.gz' else word_bytes;w=json.loads(word_bytes);raw=json.dumps(w,sort_keys=True,separators=(',',':')).encode();(a.out/'FULL-WORD.json.gz').write_bytes(gzip.compress(raw,mtime=0));sources={} +def run(name,changes,extra=None): + q=a.vendor/name;s=q.read_text();sources[name]=hashlib.sha256(q.read_bytes()).hexdigest() + for old,new in changes: + assert old in s,(name,old);s=s.replace(old,new,1) + ns={'__name__':'__main__','OUT':a.out,'ROUTES':a.routes};ns.update(extra or {});exec(compile(s,str(q),'exec'),ns) + # Runtime measurements are operational logs, never part of source identity. + report={'audit_cxg.py':'SCALAR-FRAME-AUDIT.json','phases_cxg.py':'CLIFFORD-REVIEW.json'}.get(name) + if report: + rp=a.out/report;rr=json.loads(rp.read_text());rr.pop('seconds',None);rp.write_text(json.dumps(rr,indent=2)+'\n') +run('audit_cxg.py',[("OUT=Path(os.environ.get('CXOUT','split-centres'));p=OUT/'FULL-WORD.json.gz'","p=OUT/'FULL-WORD.json.gz'"),("old=json.load(gzip.open('work/higher-stage-e8/verified/gcert1-e8-retimed.json.gz'))","old=json.load(gzip.open(ROUTES))")]) +run('emit_cxg.py',[("OUT=Path('split-centres');cp=OUT/'CANONICAL-WORD.json.gz'","cp=OUT/'CANONICAL-WORD.json.gz'")]) +sys.path.insert(0,str(a.clifford.parent));sources['clifford_exact.py']=hashlib.sha256(a.clifford.read_bytes()).hexdigest() +if not a.skip_phase:run('phases_cxg.py',[("sys.path.insert(0,str(Path('work/odd-stages').resolve()))","# exact module supplied by CLI"),("OUT=Path('split-centres');P=OUT/'CANONICAL-WORD.json.gz'","P=OUT/'CANONICAL-WORD.json.gz'")]) +manifest={'input_word_sha256':hashlib.sha256(word_bytes).hexdigest(),'sources':sources,'files':{q.name:hashlib.sha256(q.read_bytes()).hexdigest()for q in sorted(a.out.iterdir())if q.is_file() and q.name in ['FULL-WORD.json.gz','CANONICAL-WORD.json.gz','SCALAR-FRAME-AUDIT.json','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json']}};(a.out/'BUILD-RECEIPT.json').write_text(json.dumps(manifest,indent=2));print('BUILD COMPLETE',flush=True) + + diff --git a/research/tensor-response-r715/code/complex_rows.py b/research/tensor-response-r715/code/complex_rows.py new file mode 100644 index 0000000000..de90c214e7 --- /dev/null +++ b/research/tensor-response-r715/code/complex_rows.py @@ -0,0 +1,31 @@ +"""Fractional depth row bound: nine rank64 steps in dimension89 shrink by 16. +The inherited reserve contract charges stock bits once per actual recursion +level, plus the retained old-leaf and conversion slopes 9909+252. +Chafreaky with OpenAI Codex assistance. Apache-2.0. +""" +from fractions import Fraction as Q + +def bound(stock_bits,minimum_log2=32): + assert stock_bits==3929 + assert 89**9>16*64**9 + slope=Q(9,4)*stock_bits+9909+252;additive=9*stock_bits + gap=Q(20161)-slope + assert gap>0 and gap*minimum_log2>additive + # e < 2^minimum_log2 uses the retained small-leaf supplier; this cutoff is + # far below the already retained finite semantic guard 2^210000. + assert 02*64**3 + return dict(status='PASS_FRACTIONAL_DEPTH_ROW_RESERVE',block_steps=9,block_halvings=4, + exact_shrink_inequality=[89**9,16*64**9],stock_bits=stock_bits,row_slope=str(slope), + additive_stock_charge=additive,minimum_log2_width=minimum_log2,retained_row_coefficient=20161, + threshold_margin=str(gap*minimum_log2-additive),coarse_three_level_row=3*stock_bits+9909+252, + finite_three_level_halving=[89**3,2*64**3]) + +def controls(): + rejected=[] + assert 3*3929+9909+252>20161;rejected.append('coarse three-level row exceeds reserve') + assert 89**9<=32*64**9;rejected.append('nine steps do not guarantee five halvings') + try:bound(3929,30) + except AssertionError:rejected.append('insufficient row cutoff') + else:raise AssertionError('accepted insufficient row cutoff') + return rejected diff --git a/research/tensor-response-r715/code/complex_whole_audit.py b/research/tensor-response-r715/code/complex_whole_audit.py new file mode 100644 index 0000000000..4b0d23b1b5 --- /dev/null +++ b/research/tensor-response-r715/code/complex_whole_audit.py @@ -0,0 +1,69 @@ +"""Independent complete whole-residual complex routing audit (stdlib only).""" +from pathlib import Path +from collections import Counter +import gzip,hashlib,json,sys,copy +read=lambda p:json.loads(p.read_text()) +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest() +def audit(t,phase,source): + V,R,T,K,L,H=120,560,8,5,11,9 + assert(t['m'],t['live'],t['physical'])==(89,9600,10178) + assert t['selection_sha256']==source['selection_sha256'] + assert t['exact_data_phase_recipe_sha256']==source['phase_sha256'] + last={};locals_=[];win={};idle={} + for pos,e in enumerate(t['execution_schedule']): + if e['kind']=='local':last[e['pair']]=pos;locals_.append((pos,e['stage'],e['pair'])) + elif e['kind']=='bridge':last[e['dst']]=pos;last[e['src']]=pos + elif e['kind']=='idle': + pair=e['pair'];lo=last.get(pair,-1);st={s for q,s,p in locals_ if lo0 and sum(pat)<=r + for _ in range(nn): + assert cp<240*T;hostrep,localcp=divmod(cp,240);fam=hostrep*FAM+(2*pair+localcp//V)*V+localcp%V;off=0 + for ww in pat:slots[i,ww].append((fam,off));off+=ww + used[i,fam]=off;cp+=1 + assert cp==240*T + for (i,ww,ss),nn in sorted(counts.items()): + assert ss in win[i][2] + for _ in range(nn): + rep,hh=pool[ss,ww][cursor[ss,ww]];cursor[ss,ww]+=1 + fam,off=slots[i,ww].pop();assert(ss,rep,hh)not in pcs + pcs[ss,rep,hh]=[[i,fam,off,ww]] + assert not any(slots.values()) and all(cursor[k]==len(z)for k,z in pool.items()) and len(pcs)==L*T*R + for c in t['calls']: + s,rep=c['stage'],c['replica'];own=c['owners'][:240] + for h in range(R): + segs=pcs[s,rep,h];own.append([segs[0][1],['hosted-whole-pool',segs[0][0],segs[0][2],segs[0][3]]]) + c['owners']=own + paid=Counter() + for c in t['calls']: + for z in t['local_programs'][c['orientation']]: + if z[0]==0 and z[4]:paid[z[4]]+=1 + if z[0]==2:paid[z[5]]+=1 + rem={} + for e in t['schedule']: + if e['kind']!='idle' or not e['rank']:continue + i,r=e['idx'],e['rank'];rr=Counter(r-used[i,rep*FAM+win[i][0]*240+cp]for rep in range(T)for cp in range(240)) + rem[str(i)]={str(k):v for k,v in sorted(rr.items())} + for k,v in rr.items(): + if k:paid[k]+=v + t.update(version='whole-residual-global-replica-pooling-v1',live=DATA,banks_per_stage={str(s):0 for s in range(L)},helper_route='one whole residual in one idle family, assigned globally across replicas; full physical coordinates and windows audited',hosting=dict(program_registry=providers,legacy_top_source_fields_describe='base provider only; choose provider by the exact per-call orientation',variant_calls=sorted([list(x)for x in variant_calls]),windows={str(i):[p,r,sorted(ss)]for i,(p,r,ss)in win.items()},pieces=[[s,rep,h,z]for (s,rep,h),z in sorted(pcs.items())],remainders=rem,banks_per_stage={str(s):0 for s in range(L)})) + mass=sum(r*n for r,n in paid.items());assert M*DATA-mass==3264 + dg=hashlib.sha256();cnt=0 + for c in t['calls']: + for z in t['local_programs'][c['orientation']]: + mapped=[z[0],c['owners'][z[1]]] + if z[0]==0:mapped.extend(z[2:]) + else:mapped.extend([c['owners'][z[2]]if z[2]<240+R else [DATA,['private',0]],*z[3:]]) + dg.update((json.dumps(mapped,separators=(',',':'))+'\n').encode());cnt+=1 + tb=json.dumps(t,sort_keys=True,separators=(',',':')).encode();(out/'GLOBAL-TEMPLATE.json.gz').write_bytes(gzip.compress(tb,mtime=0)) + crossrep=sum(any(f//FAM!=rep for i,f,o,ww in segs)for (s,rep,h),segs in pcs.items());crosschild=sum(len({i for i,f,o,ww in segs})>1 for segs in pcs.values());maxpieces=max(map(len,pcs.values())) + g.update(program_registry=providers,legacy_source_fields_describe='base provider only; selected provider bound by per-call local_hash and hosting.program_registry',status='PASS_WHOLE_RESIDUAL_GLOBAL_POOL_GENERATOR',live=DATA,physical=DATA+9,template_sha256=hashlib.sha256(tb).hexdigest(),parent_template_sha256=g['template_sha256'],profile=dict(sorted(paid.items())),paid_calls=sum(paid.values()),rank_mass=mass,maxchild=max(paid),banks_per_stage_hosted={str(s):0 for s in range(L)},hosted_residuals=L*T*R,hosted_residuals_per_replica=L*R,split_residuals=sum(len(x)>1 for x in pcs.values()),bank_assignments=0,hosted_coordinates=sum(map(sum,widths.values())),emitted_program_sha256=dg.hexdigest(),emitted_events=cnt,halving_depth=3,halving_integer_inequality=[M**3,2*max(paid)**3],deficit=3264,cross_replica_residuals=crossrep,cross_child_residuals=crosschild,max_owner_pieces=maxpieces,route_extra_required=2+maxpieces,flow_sha256=sha(flow),generator_sha256=sha(Path(__file__))) + (out/'GLOBAL.json').write_text(json.dumps(g,indent=2)+'\n');print(json.dumps({k:g[k]for k in ['profile','cross_replica_residuals','cross_child_residuals','max_owner_pieces','route_extra_required']}),flush=True) +if __name__=='__main__':emit(*map(Path,sys.argv[1:])) + diff --git a/research/tensor-response-r715/code/global_controller.py b/research/tensor-response-r715/code/global_controller.py new file mode 100644 index 0000000000..f0bfa36a4f --- /dev/null +++ b/research/tensor-response-r715/code/global_controller.py @@ -0,0 +1,57 @@ +"""Bind and expand the complete borrowed-spectator controller against literal providers. +Exact local scalar/phase/wrapper proofs are replayed by their separate checkers. +This replay verifies their use at EVERY call and the inherited unchanged schedule. +""" +import sys,json,gzip,hashlib +from pathlib import Path +from collections import Counter +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +def read(p): + p=Path(p);b=p.read_bytes();return json.loads(gzip.decompress(b)if p.suffix=='.gz'else b) +def main(template,physical_audit,checks_path,phase_path,global_path,audit_path): + t,a,checks=map(read,[template,physical_audit,checks_path]);ts=hashlib.sha256(canon(t)).hexdigest();assert a['template_sha256']==ts + assert t['physical']==t['live']+560+t['private_centers']+2 and t['private_centers']==16 + assert t['provider_checks']['kernel']==checks + phase=read(phase_path);route_digest=hashlib.sha256();basis={j:sorted(set([r['q']]+[v for ch in r['idle_children']for v in ch['orthogonal_axes']]))for j,r in enumerate(phase['recipes'])};idles={z['idx']:z for z in t['execution_schedule']if z['kind']=='idle'} + calls={(c['stage'],c['replica']):c for c in t['calls']};programs=t['provider_programs']['kernel'];n=0;dig=hashlib.sha256();counts=Counter();primitives=0;paid=Counter();invocations=[] + for e in t['execution_schedule']: + dig.update(canon(['controller',e])+b'\n') + if e['kind']!='local':continue + for rep in range(t['replicas']): + s=e['stage'];call=calls[s,rep];assert call['pair']==e['pair'];ori='backward'if e['reverse']else'forward';assert call['orientation']==ori and call['provider']=='kernel' + program=programs[ori];assert hashlib.sha256(canon(program)).hexdigest()==call['local_program_sha256']==checks[ori]['sha256'] + own=call['owners'] + for h,(fam,route)in enumerate(own[240:]): + kind,i,off,foot,w,spec=route;assert kind==5 and foot==9;pair=t['hosting']['windows'][str(i)][0];sp=fam%1200-2*pair*120;side,port=divmod(sp,120);ch=idles[i]['phase_children'][side];axes=phase['recipes'][port]['idle_children'][ch]['orthogonal_axes'];first=axes[off:off+w]+([spec]if w==8 else[]);sigma=first+[v for v in basis[port]if v not in first];assert len(sigma)==89 and set(sigma)==set(basis[port]);route_digest.update(canon([s,rep,h,fam,sigma])+b'\n') + pivot={r for r in range(240,800)if own[r][1][4]==8};entry=set();exit_=set();inbody=False;inexit=False;localpaid=Counter();localcounts=Counter() + for z in program: + tag=z[0];localcounts[tag]+=1 + if tag=='monomial-wrapper': + _,direction,r,frame,circuit=z;assert r in pivot and own[r][1][3]==9 and own[r][1][5]is not None + if direction=='entry':assert not inbody and r not in entry;entry.add(r) + else:assert direction=='exit'and inbody and r not in exit_;inexit=True;exit_.add(r) + row=[tag,direction,own[r],frame,circuit] + else: + assert not inexit;inbody=True + if tag=='phase':row=z + elif tag=='adapter':assert z[2]<240;row=[tag,z[1],own[z[2]],*z[3:]] + elif tag=='climb':row=[tag,z[1],own[z[2]],*z[3:]];localpaid[z[-1]]+=1 + elif tag=='center':row=[tag,[t['live']+z[1],['private_center',z[1]]],*z[2:]];localpaid[z[-1]]+=1 + else: + assert tag=='scalar';macro=[] + for x in z[1]: + if isinstance(x,list)and len(x)==2 and x[0]in('L','C'):macro.append(own[x[1]]if x[0]=='L'else[t['live']+x[1],['private_center',x[1]]]) + else:macro.append(x) + row=[tag,macro,z[2]] + dig.update(canon([s,rep,row])+b'\n');n+=1 + assert entry==exit_==pivot and len(pivot)==79 + assert dict(localpaid)=={int(r):nn for r,nn in checks[ori]['paid_profile'].items()} + assert len(program)==checks[ori]['events']and localcounts['scalar']==checks[ori]['scalar_macros'] + paid.update(localpaid);counts.update(localcounts);primitives+=checks[ori]['real_component_primitive_bound'];invocations.append([s,rep,ori,call['local_program_sha256']]) + for x in t['idle_children']: + if x['rank']:paid[x['rank']]+=1 + assert dict(paid)=={int(r):nn for r,nn in t['profile'].items()};assert len(invocations)==77 + assert route_digest.hexdigest()==a['orthogonal_route_decoder_sha256'] + g=dict(orthogonal_route_decoder_sha256=route_digest.hexdigest(),status='PASS_COMPLETE_BORROWED_SPECTATOR_CONTROLLER',template_sha256=ts,m=t['m'],live=t['live'],physical=t['physical'],stages=t['stages'],replicas=t['replicas'],hosted_residuals=len(t['hosting']['slots']),bank_assignments=0,profile=t['profile'],rank_mass=t['rank_mass'],deficit=t['deficit'],maxchild=max(map(int,t['profile'])),local_invocations=77,local_events=n,emitted_program_sha256=dig.hexdigest(),source_local_checks=checks,source_canonical_word_sha256=t['source_bindings']['kernel_canonical_word'],data_phase_sha256=t['source_bindings']['data_phase'],private_centers=t['private_centers'],actual_real_component_primitive_sum=primitives,actual_event_counts=dict(counts),wrapper_calls=counts['monomial-wrapper'],source_binding='Complete normalized79 programs at every call; exact source-bound inherited controller and data-phase recipe; independent local scalar/Clifford/512-column monomial and physical-borrowed proofs.') + Path(global_path).write_text(json.dumps(g,indent=2)+'\n');a.update(controller_status=g['status'],emitted_program_sha256=g['emitted_program_sha256'],local_events=n,private_centers=t['private_centers'],physical=t['physical'],live=t['live'],actual_real_component_primitive_sum=primitives,complete_invocation_registry_sha256=hashlib.sha256(canon(invocations)).hexdigest(),all_wrapper_placements_checked=True,no_unbilled_helper_adapters=True,source_local_checks=checks);Path(audit_path).write_text(json.dumps(a,indent=2)+'\n');print(json.dumps(g,indent=2)) +if __name__=='__main__':main(*sys.argv[1:]) diff --git a/research/tensor-response-r715/code/independent_routes.py b/research/tensor-response-r715/code/independent_routes.py new file mode 100644 index 0000000000..e6fb46e46a --- /dev/null +++ b/research/tensor-response-r715/code/independent_routes.py @@ -0,0 +1,25 @@ +"""Independent witness-only replay; does not import the producer or its checker.""" +from pathlib import Path +import gzip,json,hashlib,collections,sys +p,ph,out=map(Path,sys.argv[1:]);raw=p.read_bytes();t=json.loads(gzip.decompress(raw));b=ph.read_bytes();assert hashlib.sha256(b).hexdigest()==t['source_bindings']['data_phase'];phase=json.loads(b) +full=[] +for rec in phase['recipes']: + basis=sorted({rec['q']}|{x for e in rec['idle_children']for x in e['orthogonal_axes']});assert len(basis)==89 + assert all(((x&y).bit_count()&1)==(i==j)for i,x in enumerate(basis)for j,y in enumerate(basis));full.append(basis) +idle={e['idx']:e for e in t['execution_schedule']if e['kind']=='idle'};seen=set();act=set();comps=collections.defaultdict(set);count=collections.Counter();rh=hashlib.sha256() +for c in t['calls']: + for fam,route in c['owners'][240:]: + kind,i,off,foot,w,spec=route;assert kind==5 and foot==9 + within=fam%1200;pair,port=divmod(within,240);side,port=divmod(port,120);assert pair==idle[i]['pair'] + axes=phase['recipes'][port]['idle_children'][idle[i]['phase_children'][side]]['orthogonal_axes'];active=axes[off:off+w];assert len(active)==w + fp=active+([spec]if w==8 else[]);assert len(set(fp))==9 and set(fp)<=set(full[port]) + if w==8:assert spec not in axes + for a in fp:assert(c['stage'],fam,a)not in seen;seen.add((c['stage'],fam,a)) + for a in active:assert(fam,a)not in act;act.add((fam,a)) + sigma=fp+[a for a in full[port]if a not in fp];assert len(sigma)==len(set(sigma))==89 + rh.update(json.dumps([c['stage'],c['replica'],fam,sigma],separators=(',',':')).encode());comps[i,fam].update(active);count[w]+=1 +for c in t['idle_children']: + fam=c['replica']*1200+(2*idle[c['idle']]['pair']+c['side'])*120+c['port'];axes=phase['recipes'][c['port']]['idle_children'][c['phase_child']]['orthogonal_axes'];paid={axes[k]for k in c['paid_complement_coordinates']};a=comps[c['idle'],fam] + assert not(a&paid)and(a|paid)==set(axes)and len(paid)==c['rank'] +z=dict(status='PASS_INDEPENDENT_CANONICAL_ORTHOGONAL_COMPLETION_AND_PAID_AXIS_PARTITION',input_sha256=hashlib.sha256(raw).hexdigest(),canonical_template_sha256=hashlib.sha256(json.dumps(t,sort_keys=True,separators=(',',':')).encode()).hexdigest(),phase_sha256=hashlib.sha256(b).hexdigest(),canonical_route_sigma_stream_sha256=rh.hexdigest(),helpers_by_active_width=dict(count),whole_footprint_cells=len(seen),globally_disjoint_active_cells=len(act),scope='Independent direct read of delivered witness; canonical full89 routing matrix constructed perhelper, Gram follows checkedbasis permutation. No emitter/auditor imports. Scalar/provider and runtime evidence separate.') +out.write_text(json.dumps(z,indent=2));print(json.dumps(z,indent=2)) diff --git a/research/tensor-response-r715/code/nested_constructor.py b/research/tensor-response-r715/code/nested_constructor.py new file mode 100644 index 0000000000..60af63d653 --- /dev/null +++ b/research/tensor-response-r715/code/nested_constructor.py @@ -0,0 +1,33 @@ +"""Finite nested-donor flag constructor; full all-size interfaces remain conditional.""" +from pathlib import Path +import argparse,json,hashlib,copy +from schur_constructor import check,rank +canonical=lambda w:json.dumps(w,sort_keys=True,separators=(',',':')).encode() +def main(): + ap=argparse.ArgumentParser();ap.add_argument('source',type=Path);ap.add_argument('selection',type=Path);ap.add_argument('out',type=Path);a=ap.parse_args();assert not a.out.exists();raw=a.source.read_bytes();s=json.loads(a.selection.read_bytes());assert hashlib.sha256(raw).hexdigest()==s['source_sha256'];w=json.loads(raw);dims=[rank([w['lines'][i]for i in f])for f in w['frames']];before=check(w,dims);up={u['pivot']:u for u in s['upgrades']};head=s['source_kernel_rows'];pivs={r for r in range(2*w['v'],2*w['v']+w['R'])if w['start'][r]};assert all(all(r in pivs for r in ss)for f,t,ss in w['A'][:head]);assert not all(r in pivs for r in w['A'][head][2]);z=copy.deepcopy(w) + for p,u in up.items(): + old,new=u['old_frame'],u['new_frame'];assert w['start'][p]==old;assert set(w['frames'][old])=2*c['v'])] + assert not any(e[0]=='adapter'and e[2]>=2*c['v']for e in events) + programs[name]=pre+events+post;checks[name].update(raw_program_sha256=checks[name]['sha256'],sha256=digest(programs[name]),events=len(programs[name]),wrapper_helpers=len(helpers),helper_endpoint_adapter_markers_omitted=2*c['R'],wrapper_extra_real_component_primitive_bound=16*len(helpers),real_component_primitive_bound=checks[name]['real_component_primitive_bound']+16*len(helpers),wrapper_scope='16 real component primitives per AMBIENT scalar entry per changedhelper; in-place cycles using one complex temporary in existing coefficient workspace; no recursive Fourier child; full9 physical footprint') +raw=json.dumps(programs,sort_keys=True,separators=(',',':')).encode();(a.out/'NORMALIZED-PROGRAMS.json.gz').write_bytes(gzip.compress(raw,mtime=0));(a.out/'NORMALIZED-CHECKS.json').write_text(json.dumps(checks,indent=2));receipt=dict(status='EXACT_CANONICAL_ENTRANCE_NORMALIZATION',canonical_sha256=hashlib.sha256(a.canonical.read_bytes()).hexdigest(),raw_programs_sha256=hashlib.sha256(a.programs.read_bytes()).hexdigest(),normalized_programs_sha256=hashlib.sha256((a.out/'NORMALIZED-PROGRAMS.json.gz').read_bytes()).hexdigest(),clifford_sha256=hashlib.sha256(a.clifford.read_bytes()).hexdigest(),helpers=helpers,adapters=adapters,negative_controls=allcontrols,backward_convention='scalar inverse-transpose, same frame climbs; same helper Phi and wrappers',convention='column matrices; A.then(B)=B*A; Phi=T_FULL*T_E^-1; pre=R^-1,post=L^-1') +(a.out/'CANONICAL-WRAPPERS.json').write_text(json.dumps(receipt,indent=2));print('NORMALIZED PROGRAMS READY',len(helpers),'helpers',len(frames),'frames',flush=True) + + diff --git a/research/tensor-response-r715/code/prefix.py b/research/tensor-response-r715/code/prefix.py new file mode 100644 index 0000000000..ad7c5b495e --- /dev/null +++ b/research/tensor-response-r715/code/prefix.py @@ -0,0 +1,73 @@ +"""Exact finite interval target-factoring constructor (stdlib only). +Usage: python -B reconstruct.py SOURCE_WORD NEW_OUTPUT_DIRECTORY +Inherited all-size compiler, target-label, correlated-hosting and analytic contracts remain assumptions. +""" +from pathlib import Path +from collections import Counter +from fractions import Fraction as Q +import argparse,copy,hashlib,json +SOURCE='2da477f6743f463fbcdce8c2b56e5bbdf27575cb2127737715d8b987cae17a84' +EXPECTED='b866c92679031e010bb9732cb192ebe64509c8e34dd63797ab81f4b758b50d7f' +STEPS=[dict(u=122,d=123,start=0,end=178,setup_frame=0,recover_frame=813,remove=[[2,240]]),dict(u=210,d=123,start=1,end=62,setup_frame=0,recover_frame=534,remove=[[4,240]])] +def rank(a): + rows=[] + for aa in a: + r=list(map(Q,aa)) + for s in rows: + p=next(i for i,x in enumerate(s)if x) + if r[p]:q=r[p]/s[p];r=[x-q*y for x,y in zip(r,s)] + if any(r):rows.append(r) + return len(rows) +def rewrite(z,sel): + w=copy.deepcopy(z);B=[];cuts=[];rm=set(map(tuple,sel['remove'])) + for i,(f,d,ss)in enumerate(z['B']): + if i==sel['start']:cuts.append(len(B));B.append([sel['setup_frame'],sel['u'],[sel['d']]]) + src=[s for s in ss if(i,s)not in rm] + if src:B.append([f,d,src]) + if i==sel['end']:cuts.append(len(B));B.append([sel['recover_frame'],sel['u'],[sel['d']]]) + w['B']=B;return w,cuts +def check(z,dims): + v=z['v'];n=2*v+z['R'];frames=list(map(frozenset,z['frames']));cur=z['start'][:];x=[1<0;H[dr]+=1;cur[r]=f + def run(phase): + nonlocal target_reads + for k,(f,d,ss)in enumerate(z[phase]): + assert d>=v and d not in ss and len(ss)==len(set(ss)) + for r in [d]+ss:visit(r,f) + for s in ss: + assert set(supp[s])<=frames[f],('integer operand span',phase,k,s) + if v<=s<2*v:target_reads+=1 + x[d]^=x[s];supp[d].update(supp[s]) + if d>=2*v:assert set(supp[d])<=frames[f] + run('D');assert cur==z['start'];run('A');assert all(cur[t]==0 for t in range(v,2*v)) + cp=[x[r]for r in z['ret']] + for r in z['ret']:H[dims[cur[r]]]+=1 + for t,ss in enumerate(z['scatter']): + for k in ss:x[v+t]^=cp[k] + run('B');run('C') + for r,f in enumerate(z['final']):visit(r,f) + expected=[1<=3, this is strictly below q^(m*(m+1)/2). Physical family stock adds +ceil(log_3(physical)) to this uniform exponent. The restored-row divisor +argument in PR234/PR386 multiplies it by the halving depth, then adds the +unchanged 9909 and 252 allowances. Routing-time bills still use m^2. + +This arithmetic checker verifies the exponent calculation and strict margins; +the preceding elementary induction is the all-q proof, not a finite q sample. +chafreaky with OpenAI Codex assistance, Apache-2.0. +""" +from fractions import Fraction + +def bound(m,physical,child,depth): + assert m>1 and physical>0 and 00 + assert m**depth>2*child**depth + overhead=0 + while 3**overhead<=physical:overhead+=1 + column_exponent=sum(d-1 for d in range(1,m+1)) + assert column_exponent==m*(m-1)//2 and 2**m<3**m + cover_exponent=column_exponent+m + stock_exponent=cover_exponent+overhead + assert physical<3**overhead and 2**m*physical<3**(m+overhead) + row=depth*stock_exponent+9909+252 + assert row<20161 and Fraction(10**6)-Fraction(51*20161,25)>0 + return dict(method='successive nonzero-norm vectors in nondegenerate complements', + minimum_q=3,column_exponent=column_exponent,factor_two_power=m, + cover_exponent=cover_exponent,physical_families=physical, + physical_exponent=overhead,stock_exponent=stock_exponent, + halving_depth=depth,complete_row_coefficient=row,retained_row_coefficient=20161) + +def controls(): + rejected=[] + for name,args in [('false two-level halving',(78,9609,56,2)), + ('understated row reserve',(100,9609,90,7))]: + try:bound(*args) + except AssertionError:rejected.append(name) + else:raise AssertionError('accepted '+name) + # The original coarse enumeration bound does NOT fit this retained row cap. + assert 3*(78**2+1)+9909+252==28416>20161 + return rejected diff --git a/research/tensor-response-r715/code/schur_constructor.py b/research/tensor-response-r715/code/schur_constructor.py new file mode 100644 index 0000000000..e74f728b33 --- /dev/null +++ b/research/tensor-response-r715/code/schur_constructor.py @@ -0,0 +1,82 @@ +"""Pinned finite Schur target-interval constructor and exact replay. +Retains inherited all-size bit compiler/hosting/analytic interfaces. No optimizer, +network, external package or public-baseline verification is run here. +Rank and integer-support audit reused from our target-prefix constructor. +""" +from pathlib import Path +from collections import Counter,defaultdict +from fractions import Fraction as Q +import argparse,copy,gzip,hashlib,json +canon=lambda x:json.dumps(x,sort_keys=True,separators=(',',':')).encode() +def read(p): + b=Path(p).read_bytes();return json.loads(gzip.decompress(b)if str(p).endswith('.gz')else b) +def rank(a): + rows=[] + for aa in a: + r=list(map(Q,aa)) + for s in rows: + p=next(i for i,x in enumerate(s)if x) + if r[p]:q=r[p]/s[p];r=[x-q*y for x,y in zip(r,s)] + if any(r):rows.append(r) + return len(rows) +def check(z,dims): + v=z['v'];n=2*v+z['R'];frames=list(map(frozenset,z['frames']));cur=z['start'][:];x=[1<0;H[dr]+=1;cur[r]=f + def run(phase): + nonlocal target_reads + for k,(f,d,ss)in enumerate(z[phase]): + assert d>=v and d not in ss and len(ss)==len(set(ss)) + for r in [d]+ss:visit(r,f) + for s in ss: + assert set(supp[s])<=frames[f],('integer operand span',phase,k,s) + if v<=s<2*v:target_reads+=1 + x[d]^=x[s];supp[d].update(supp[s]) + if d>=2*v:assert set(supp[d])<=frames[f] + run('D');assert cur==z['start'];run('A');assert all(cur[t]==0 for t in range(v,2*v)) + cp=[x[r]for r in z['ret']] + for r in z['ret']:H[dims[cur[r]]]+=1 + for t,ss in enumerate(z['scatter']): + for k in ss:x[v+t]^=cp[k] + run('B');run('C') + for r,f in enumerate(z['final']):visit(r,f) + expected=[1< 2: + x /= 2 + k += 1 + lo, hi = log_unit(x) + l2, u2 = log_unit(Q(2)) + lo, hi = lo+k*l2, hi+k*u2 + # Outward rational rounding keeps later certificates compact. + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + + +def exp_bounds(x): + require(0 <= x < 1, "exponential range") + term = total = Q(1) + for j in range(1, 13): + term *= x/j + total += term + tail = term*x/13/(1-x/14) + return total, total+tail + + +def moment(m, W, entries, saving): + lo = hi = Q(0) + for t, count in entries: + t, count = int(t), int(count) + require(0 < t < m and count > 0, "improper child") + l, u = log_bounds(Q(m, t)) + lower = exp_bounds(saving*l)[0] + upper = exp_bounds(saving*u)[1] + lo += Q(t*count, m*W)*lower + hi += Q(t*count, m*W)*upper + return Q((lo*GRID).__floor__(), GRID), Q((hi*GRID).__ceil__(), GRID) + diff --git a/research/tensor-response-r715/engines/moment.py b/research/tensor-response-r715/engines/moment.py new file mode 100644 index 0000000000..7d697cb452 --- /dev/null +++ b/research/tensor-response-r715/engines/moment.py @@ -0,0 +1,113 @@ +"""Independent prospective ordinary five-stage cost, never supplier admission. + +Consumes a raw one-invocation ledger made from the actual source/internal/target +paths. No packed profile is used as an input. Missing physical/finite/compiler +obligations must remain explicit in the accompanying report. +""" +from collections import Counter +from decimal import Decimal, localcontext, ROUND_FLOOR +from fractions import Fraction as F +from functools import lru_cache +from math import factorial +import hashlib, json, sys +from pathlib import Path + +DYAD = 1 << 224 + +def floor(x): return F(x.numerator*DYAD//x.denominator, DYAD) +def ceil(x): return -floor(-x) + +@lru_cache(None) +def logarithm(x): + """Mercator bounds after binary reduction; ln(2) via two Mercator sums. + + For 1 <= y < 2, log(y) is an alternating series in z=y-1. + We instead reduce to 1 <= y < 3/2, and bound log(3/2) and + log(2) by the same alternating series at z=1/2 and z=1/3, + using log(2)=log(3/2)+log(4/3). All sums are exact rationals. + """ + assert x >= 1 + k = 0 + while x >= 2: x /= 2; k += 1 + j = int(x >= F(3, 2)) + if j: x /= F(3, 2) + def mercator(y): + z=y-1 + assert 0 <= z <= F(1,2) + # An even partial sum is below log; the next term bounds its tail. + t=z; s=F(0) + for n in range(1, 225): + s += (t if n & 1 else -t)/n + t *= z + return s, s+t/225 + a,b=mercator(x); c,d=mercator(F(3,2)); e,f=mercator(F(4,3)) + return floor(a+(k+j)*c+k*e), ceil(b+(k+j)*d+k*f) + +def exponential(l,u): + assert 0 <= l <= u < F(1,10) + def poly(x): + s=t=F(1) + for j in range(1,25): t=t*x/j; s+=t + return s,t + lo,_=poly(l);hi,last=poly(u) + return floor(lo),ceil(hi+last*u/25/(1-u/26)) + +def moment(H,m,W,a,bad=False): + lo=hi=F(0) + for r,n in H.items(): + assert 0 < r < m and n > 0 + l,u=logarithm(F(m,r)); e,f=exponential(a*l,a*u) + p=F(r*n,m*W);lo+=p*e;hi+=p*f + if bad: + # Existing envelope shape, only conditionally portable to the new cover. + l,u=logarithm(F(m));e,f=exponential(a*l,a*u) + p=F(32*m*sum(H.values()),10**16*W) + lo+=p*e;hi+=p*f + return floor(lo),ceil(hi) + +def decimal(x): + with localcontext() as c: + c.prec=70 + return str(Decimal(x.numerator)/Decimal(x.denominator)) + +def certify(H,m,W,bad=False): + with localcontext() as c: + c.prec=70 + terms=[(Decimal(r*n)/Decimal(m*W),(Decimal(m)/Decimal(r)).ln()) for r,n in H.items()] + fallback=Decimal(32*m*sum(H.values()))/Decimal(10**16*W) if bad else Decimal(0) + lm=Decimal(m).ln();lo=Decimal(0);hi=Decimal('.003') + for _ in range(210): + a=(lo+hi)/2 + if sum(p*(a*l).exp() for p,l in terms)+fallback*(a*lm).exp()<1:lo=a + else:hi=a + q=int(((lo+hi)/2*10**24).to_integral_value(rounding=ROUND_FLOOR)) + lo=F(q,10**24);hi=lo+F(1,10**24) + lv=moment(H,m,W,lo,bad);hv=moment(H,m,W,hi,bad) + assert lv[1]<10 for v in slacks.values()),{k:str(v) for k,v in slacks.items() if v<=0} + assert min(margins.values())==minimum + assert margins['balanced_prefix']-minimum==eta and 1-eps-r==eta/2 + assert 1-eps*(1+c)==eta-eps*eta/4 + return dict(parameters=dict(a_bit=a,a_complex=b,tau=tau,sigma=sigma, + eta=eta,beta=beta,q=q,c=c,epsilon=eps,lambda_=lam, + lambda_prime=lp,alpha_squared_power=r,delta=delta, + C0=bridge['semantic']['C0'],C1=1,kappa=kappa), + strict_constraints=slacks,margins=margins,minimum_margin=minimum, + absorption_gap=minimum-kappa, + recurrence=dict(internal=internal,leaf=leaf,reservations=1-c)) diff --git a/research/tensor-response-r715/inherited/ASSEMBLY.json b/research/tensor-response-r715/inherited/ASSEMBLY.json new file mode 100644 index 0000000000..43db5fc2c1 --- /dev/null +++ b/research/tensor-response-r715/inherited/ASSEMBLY.json @@ -0,0 +1,184 @@ +{ + "status": "PASS_CONDITIONAL_DUAL_ELEVEN_HOSTING_ASSEMBLY", + "kappa": "1265931727546219/1000000000000000000", + "kappa_decimal": "0.001265931727546219", + "bit_lower": "158442042752174644233/125000000000000000000000", + "complex_lower": "50725691867627/40000000000000000", + "binding_component": "bit", + "gain_over_pr445_percent": 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b/research/tensor-response-r715/notices/PR433-LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/tensor-response-r715/notices/PR433-NOTICE.md b/research/tensor-response-r715/notices/PR433-NOTICE.md new file mode 100644 index 0000000000..e9c197bd16 --- /dev/null +++ b/research/tensor-response-r715/notices/PR433-NOTICE.md @@ -0,0 +1,43 @@ +# Attribution + +Copyright 2026 icekylinx. New split-centre cancellation, reversible source-centre +composition, integration and verification changes were prepared by icekylinx +with substantial OpenAI Codex assistance. Apache-2.0 applies to these changes. +Earlier private Pro exploration used GPT-6 Astra; the new construction and +composition in this package were developed with Codex. + +## Direct sources + +- Zhihao Chen, with OpenAI Codex assistance: PR425's mutable-basis Hamming packet + producer, common-frame scalar interface, exact phase lowering and verification; + PR386's compressed nine-stage bit geometry, owner template, audit and finite + accounting. These supply the immediate complex and geometric baselines. +- ai-nanachi, with OpenAI Codex assistance: PR426's R767 bit word, including 55 + clean-reset helper reuses and 54 frame changes. The complete selected word is + imported unchanged before the nine source-centre replacements. +- Dylan Crow (utcorvusvolat-dotcom), with Anthropic Claude assistance: PR370's + Hamming E8 bit producer, root table, record exporter and local format. +- Jacob Sussman: the E8 family, complex unit and underlying interchange framework. +- applecrusher, a contributor whose handle is omitted at their request, eumemic, Rohan Arun, Chafik Boukhalfa, DaysSky, + DreamingOfClouds, Henry Grant, Evan McKinney, LJH-217 and other contributors: + the source, frame, compiler, rational-pricing and analytic lineage detailed + in the preserved original notices. + +The current value is computed from the two actual resulting programs. +Independently published improvements are not added numerically. `SOURCES.json` +records original commits and file hashes; `notices/` preserves source notices. +Files under `proofs/` describe their original packages and retain their original +scope and attribution; the current statement is in `PROOF.md`. + +## Earlier contributions by icekylinx + +The earlier #10, #18, #24, #32 and #36 contributions developed projector batching, +partial-swap frames, endpoint gauges and conditional analytic/tape integration. +The subsequent #104, #115, #130 and #144 contributions covered stopped-product +integration, partial gauges, three-stage covers and paired-cube/source chronology. +These provide historical context, not additional savings in this ledger. The +source-centre idea from the preceding local round is used here on PR426's bit +word. Unselected research experiments and superseded submission candidates are +not part of this package. + +Packaging note: one handle in the aggregate historical acknowledgement is omitted at that contributor's privacy request. The upstream copyright, license, and all other attribution are retained. diff --git a/research/tensor-response-r715/notices/PR451-LICENSE b/research/tensor-response-r715/notices/PR451-LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/tensor-response-r715/notices/PR451-LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. Definitions. + + "License" shall mean the terms and conditions for use, reproduction, + and distribution as defined by Sections 1 through 9 of this document. + + "Licensor" shall mean the copyright owner or entity authorized by + the copyright owner that is granting the License. + + "Legal Entity" shall mean the union of the acting entity and all + other entities that control, are controlled by, or are under common + control with that entity. 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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/tensor-response-r715/notices/PR451-NOTICE.md b/research/tensor-response-r715/notices/PR451-NOTICE.md new file mode 100644 index 0000000000..bfb98ab7a1 --- /dev/null +++ b/research/tensor-response-r715/notices/PR451-NOTICE.md @@ -0,0 +1,32 @@ +# Attribution and licence + +Rank149 hosting-aware response-kernel selection, explicit residual routes, +eleven-stage complex integration, independent audits, fractional depth row +bound, complete invoices and release wrapper: chafreaky with substantial +OpenAI Codex assistance. Apache-2.0. Credit does not imply review or endorsement. + +Complete PR445/444/443 and their source packages are retained byte-identically. +All inherited notices remain in those directories. + +- Zhihao Chen / jacklightChen, PR377 (OpenAI Codex assistance): compressed + complex routes, exact Z4 data phases, idle factorization, terminal and + orthogonal-cover corrections. `upstream377/data_phases.py` is pinned + verbatim at `d0a620fcc99ba012468d61d01f5bb14007076d50`. +- icekylinx, PR433 (OpenAI Codex assistance): heterogeneous centres, exact + complex local word and replay, phase evidence and local finite invoices. +- DaysSky, PR442 (Anthropic Claude assistance): idle-data hosting lemma, + integer selection representation, ownership expansion and assembly. +- eumemic, PR436 (Anthropic Claude assistance), PR440/441 (OpenAI Codex + assistance): R740 local word and primitive/B-frame retiming witnesses. +- chafreaky, PR417 and earlier kernel lineage (Anthropic Claude assistance), + PR439/443/444/445 (OpenAI Codex assistance): shared-donor response kernel, + residual isometries, replicated banks, hosting, eleven-stage bit geometry + and elementary orthogonal-cover row count. +- Henry Grant / hcg890, PR234: inherited restored-row divisor argument, + retained verbatim in `../r740-hosted-eleven/proof/` with its full notice. +- Rohan Arun PR434/447, Dylan Crow PR370, Jacob Sussman and earlier authors: + see the preserved parent notices. PR447 is a comparison point, not a + source dependency of the new kernel or complex construction. + +All-size and hosting assumptions remain explicit. No unconditional theorem +or new Lean proof is claimed. diff --git a/research/tensor-response-r715/notices/PR453-LICENSE b/research/tensor-response-r715/notices/PR453-LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/tensor-response-r715/notices/PR453-LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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Unless required by applicable law or + agreed to in writing, Licensor provides the Work (and each + Contributor provides its Contributions) on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or + implied, including, without limitation, any warranties or conditions + of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A + PARTICULAR PURPOSE. You are solely responsible for determining the + appropriateness of using or redistributing the Work and assume any + risks associated with Your exercise of permissions under this License. + + 8. Limitation of Liability. In no event and under no legal theory, + whether in tort (including negligence), contract, or otherwise, + unless required by applicable law (such as deliberate and grossly + negligent acts) or agreed to in writing, shall any Contributor be + liable to You for damages, including any direct, indirect, special, + incidental, or consequential damages of any character arising as a + result of this License or out of the use or inability to use the + Work (including but not limited to damages for loss of goodwill, + work stoppage, computer failure or malfunction, or any and all + other commercial damages or losses), even if such Contributor + has been advised of the possibility of such damages. + + 9. Accepting Warranty or Additional Liability. While redistributing + the Work or Derivative Works thereof, You may choose to offer, + and charge a fee for, acceptance of support, warranty, indemnity, + or other liability obligations and/or rights consistent with this + License. However, in accepting such obligations, You may act only + on Your own behalf and on Your sole responsibility, not on behalf + of any other Contributor, and only if You agree to indemnify, + defend, and hold each Contributor harmless for any liability + incurred by, or claims asserted against, such Contributor by reason + of your accepting any such warranty or additional liability. + + END OF TERMS AND CONDITIONS + + APPENDIX: How to apply the Apache License to your work. + + To apply the Apache License to your work, attach the following + boilerplate notice, with the fields enclosed by brackets "[]" + replaced with your own identifying information. (Don't include + the brackets!) The text should be enclosed in the appropriate + comment syntax for the file format. We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + Licensed under the Apache License, Version 2.0 (the "License"); + you may not use this file except in compliance with the License. + You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + See the License for the specific language governing permissions and + limitations under the License. diff --git a/research/tensor-response-r715/notices/PR453-NOTICE.md b/research/tensor-response-r715/notices/PR453-NOTICE.md new file mode 100644 index 0000000000..4fa73d0b0e --- /dev/null +++ b/research/tensor-response-r715/notices/PR453-NOTICE.md @@ -0,0 +1,3 @@ +Rank137 kernel selection, composition and evidence by Rohan Arun with OpenAI Codex assistance. Apache-2.0. + +The unchanged source snapshots in vendor450 and vendor448 retain their original notices and licenses. Target mixing, eleven-stage generalization and cross-copy template tools: DreamingOfClouds with Anthropic Claude assistance (#450). Cross-copy hosting: higherbeing with Anthropic Claude assistance (#448). Kernel/replica foundations: chafreaky (#443), with the prior Rohan Arun (#434/#447), DaysSky (#442), icekylinx (#433), eumemic, Zhihao Chen, Dylan Crow and Jacob Sussman contributions and assistance disclosures retained by the parent packages. diff --git a/research/tensor-response-r715/pricing/prime_witnesses.py b/research/tensor-response-r715/pricing/prime_witnesses.py new file mode 100644 index 0000000000..7f16d93030 --- /dev/null +++ b/research/tensor-response-r715/pricing/prime_witnesses.py @@ -0,0 +1,99 @@ +"""Exact finite prime exclusions for the selected new rational bit frames. + +For integer basis B and G=I-J/9, det(9 B G B^t) is a nonzero integer. +Excluding its prime divisors and 2,3,5 makes the reduced frame nondegenerate +over every odd local ring Z/q^w. Projector denominators divide this determinant +times fixed powers of 3. Retained frames retain their old exclusion witnesses. +The selected q is an arbitrarily large fixed prime chosen after this finite +set; this is not verification at a preselected numeric q. +""" +from pathlib import Path +import argparse,gzip,hashlib,json,sys + +HERE=Path(__file__).resolve().parent + +def det(A): + A=[list(r) for r in A];n=len(A) + if not n:return 1 + sign=1;previous=1 + for k in range(n-1): + pivot=next((i for i in range(k,n) if A[i][k]),None) + if pivot is None:return 0 + if pivot!=k:A[k],A[pivot]=A[pivot],A[k];sign=-sign + p=A[k][k] + for i in range(k+1,n): + for j in range(k+1,n): + v=A[i][j]*p-A[i][k]*A[k][j] + assert v%previous==0 + A[i][j]=v//previous + A[i][k]=0 + previous=p + return sign*A[-1][-1] + +PRIMES=(2,3,5,7,11,13,17,19,23,29,31) + +def factor_witness(determinant): + assert type(determinant) is int and determinant != 0 + residual=abs(determinant);powers={} + for prime in PRIMES: + power=0 + while residual%prime==0:residual//=prime;power+=1 + powers[str(prime)]=power + validate_factor(determinant,powers,residual) + return powers,residual + +def validate_factor(determinant,powers,residual): + assert type(determinant) is int and determinant != 0 + assert set(powers)==set(map(str,PRIMES)) + assert all(type(x) is int and x>=0 for x in powers.values()) + assert type(residual) is int and 0

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Orthogonality cancels all quadratic cross terms; both sides fix the uniform vector.", + "mandatory": true, + "complete_small_cover_checks": [ + { + "n": 1, + "orthogonal_matrices": 1, + "nonzero_full_kernel_corrections": 0 + }, + { + "n": 2, + "orthogonal_matrices": 2, + "nonzero_full_kernel_corrections": 0 + }, + { + "n": 3, + "orthogonal_matrices": 6, + "nonzero_full_kernel_corrections": 0 + }, + { + "n": 4, + "orthogonal_matrices": 48, + "nonzero_full_kernel_corrections": 24 + }, + { + "n": 5, + "orthogonal_matrices": 720, + "nonzero_full_kernel_corrections": 600 + } + ] + }, + "global_phase_argument": "Every C_q and every linear address permutation fixes the uniform vector. Equality of the exact Z4 Fourier multiplier therefore fixes the scalar phase as well.", + "scope": "All compressed data boundary operators, idle children, terminal X_q and all-live cover correction. 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z*Un-Xv8_c;jB!%+-JHtTV1en?*g59mS_6Mwro&8C?0zq1plOIofFz#fKQ$9>JBVgiX;4;2&bY=%73Bn3Mw1T4;!MPZyP%v3Hylc*zL< z!O;!g`@DDmNmwJ6p#4Jp5DOSOnQ$xLg_|xG$vjN+ZUS4kYphr=cZ`sMZEZb|nvQ0y zQp$!`Om?JJ5PfbZTM6joKbGKi%D}7(&NBF}S75(o`up3E0D*9yj9gpXJ}^1E@%#X} z^`;wpTOxJxMeqLSok~g*yN?>Q@Y$Gn9I?iFt;WoHh=RsrmbRllcT;nS6tNiC;kZ{Q ztl90yKvOcF|KM$T8TOIo&ptjCmRzcs_)r5Xkd+#IuGj{L?ZXQ`j< zJKk3JKHW%Xx&hK$n(?iU>KQosEr5yG!L(o4YV7hKy}7V77TfxaT;HaZuOdxrp!g-j z_2XNuG@k>Qjjk~x{d((@x1PQH=&bsk@v|ug93gExKG6-k2ut+0quRjMtAD>PMM1*> XSab6Q> Date: Sun, 11 Oct 2026 12:31:28 -0700 Subject: [PATCH 2/4] Add files via upload --- .../vendor/transport/upstream449/audit_cxg.py | 165 ++++++++++++++++++ .../vendor/transport/upstream449/emit_cxg.py | 146 ++++++++++++++++ .../transport/upstream449/phases_cxg.py | 39 +++++ research/tensor-response-r715/verify.py | 50 ++++++ 4 files changed, 400 insertions(+) create mode 100644 research/tensor-response-r715/vendor/transport/upstream449/audit_cxg.py create mode 100644 research/tensor-response-r715/vendor/transport/upstream449/emit_cxg.py create mode 100644 research/tensor-response-r715/vendor/transport/upstream449/phases_cxg.py create mode 100644 research/tensor-response-r715/verify.py diff --git a/research/tensor-response-r715/vendor/transport/upstream449/audit_cxg.py b/research/tensor-response-r715/vendor/transport/upstream449/audit_cxg.py new file mode 100644 index 0000000000..b19202899d --- /dev/null +++ b/research/tensor-response-r715/vendor/transport/upstream449/audit_cxg.py @@ -0,0 +1,165 @@ +# Modified from PR425 by icekylinx with Codex assistance. +"""Read-back audit, independent of the Hamming producer and its row state.""" +import copy,gzip,hashlib,importlib.util,json,math,time +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + +import os +OUT=Path(os.environ.get('CXOUT','split-centres'));p=OUT/'FULL-WORD.json.gz' +word=json.load(gzip.open(p));v=120;n=240+word['report']['R'];start=time.monotonic() +def apply(e,rows): + if e[0]=='scale': + _,t,a,b,*_=e;q=Q(a,b);assert q + rows[t]={j:q*x for j,x in rows[t].items()} + else: + _,t,s,a,b,*_=e;q=Q(a,b);assert t!=s + for j,x in list(rows[s].items()): + z=rows[t].get(j,Q(0))+q*x + if z:rows[t][j]=z + else:rows[t].pop(j,None) +def ident():return [{r:Q(1)} for r in range(n)] +def inv(e): + e=copy.deepcopy(e) + if e[0]=='add':e[3]*=-1 + else:e[2],e[3]=e[3],e[2] + return e +def dual(e): + e=inv(e) + if e[0]=='add':e[1],e[2]=e[2],e[1] + return e + +main=word['A']+word['cut']+word['B'] +assert all(not 120<=e[2]<240 for e in word['A']+word['B'] if e[0]=='add' and not 120<=e[1]<240) +matrix=ident() +for e in main:apply(e,matrix) +print('full main columns',n,'replayed',flush=True) +# Compute -A_Y^-1 B_S using only rows of the explicit main operator. +dirty=[{} for r in range(n)] +for r in range(v,2*v):dirty[r]={j:x for j,x in matrix[r].items() if j>=2*v} +for e in word['precondition']:apply(e,dirty) +comp=[] +for r in range(v,2*v): + for j,q in sorted(dirty[r].items()):comp.append(['add',r,j,-q.numerator,q.denominator,[]]) + +cleanup=[inv(e) for e in reversed(word['A']+word['B']) if not v<=e[1]<2*v] +assert [e[:-1] for e in cleanup]==[e[:-1] for e in word['cleanup']] +program=word['precondition']+comp+main+cleanup +actual=ident() +for e in program:apply(e,actual) +expected=ident() +for t in range(v):expected[v+t][t]=Q(1) +assert actual==expected +print('PASS exact arbitrary dirt and restored sources/helpers',flush=True) +back=ident() +for e in program:apply(dual(e),back) +expected_back=ident() +for t in range(v):expected_back[t][v+t]=Q(-1) +assert back==expected_back +print('PASS exact inverse-transpose on every column',flush=True) +# Independent sparse vector controls avoid repeating a dense full replay. +def vector(es,x): + x=list(map(Q,x)) + for e in es: + if e[0]=='scale':x[e[1]]*=Q(e[2],e[3]) + else:x[e[1]]+=Q(e[3],e[4])*x[e[2]] + return x +sample=[((i*137+13)%101)-50 for i in range(n)] +want=vector(program,sample) +controls={ + 'missing_dirty_compensation':word['precondition']+main+cleanup, + 'missing_Y_inverse_basis':comp+main+cleanup, + 'missing_source_cleanup':word['precondition']+comp+main, + 'wrong_dual_event_order':[dual(e) for e in reversed(program)], +} +for name,es in controls.items(): + expected_sample=vector([dual(e) for e in program],sample) if name=='wrong_dual_event_order' else want + assert vector(es,sample)!=expected_sample,name + +# Orthogonal transvection and a port permutation bring the new geometry onto +# the already fixed 120-port routing family. Every incidence is transformed. +old=json.load(gzip.open('work/higher-stage-e8/verified/gcert1-e8-retimed.json.gz')) +def tau(x):return x^(43 if (x&43).bit_count()%2 else 0) +assert 43 .bit_count()%2==0 +assert set(map(tau,word['ports']))==set(old['ports']) +mapping={i:old['ports'].index(tau(q)) for i,q in enumerate(word['ports'])} +mapping.update({v+i:v+mapping[i] for i in range(v)}) +mapping.update({r:r for r in range(2*v,n)}) +def basis(vs): + b={} + for x in vs: + for k in sorted(b,reverse=True): + if x>>k&1:x^=b[k] + if x: + k=x.bit_length()-1 + for j in b: + if b[j]>>k&1:b[j]^=x + b[k]=x + return tuple(b[k] for k in sorted(b,reverse=True)) +def perp(x):return basis([z for z in range(1,512) if not (x&z).bit_count()%2]) +full=tuple(1<0 + edges.add((old,f));paid[delta]+=1;cur[r]=f +for part in ('A','B'): + if part=='B': + assert all(cur[r]==f for r,f in zip(can['centers'],can['center_frames'])) + assert all(cur[r]==can['target_levels'].get(r-v,0) for r in range(v,2*v)) + for r_c,f in zip(can['centers'],can['center_frames']): + # mass-neutral descent: cf -> served levels (descending) -> lowest served level + served={can['target_levels'].get(e[1]-v,0) for e in can['cut'] if e[2]==r_c} + o=f + for L in sorted(served,key=lambda L:-len(frames[L])): + assert basis(frames[L]+frames[o])==tuple(frames[o]),('centre frame must contain served level',r_c) + if L!=o:paid[len(frames[o])-len(frames[L])]+=1;edges.add((o,L));edges.add((L,o));o=L + if o==f:paid[0]+=0 + for e in can[part]: + rs=[e[1]]+([e[2]] if e[0]=='add' else []) + for r in rs:climb(r,e[-1]);incidences+=1 +for r,f in enumerate(can['final']):climb(r,f) +assert dict(paid)=={int(r):x for r,x in word['report']['local_profile'].items()} +assert sum(r*x for r,x in paid.items())==sum(int(r)*x for r,x in word['report']['local_profile'].items()) +can['local_profile']=dict(sorted(paid.items()));can['edges']=sorted(edges) +cp=OUT/'CANONICAL-WORD.json.gz';cp.write_bytes(gzip.compress(json.dumps(can,sort_keys=True,separators=(',',':')).encode(),mtime=0)) + +b=Q(0);grid=Q(1,10**18) +coeff=Counter(str(Q(e[3],e[4]) if e[0]=='add' else Q(e[2],e[3])) for e in program) +report={'status':'PASS_EXACT_SCALAR_AND_FRAME_RESEARCH_CANDIDATE_NOT_YET_ADMITTED', + 'full_word_sha256':hashlib.sha256(p.read_bytes()).hexdigest(), + 'canonical_word_sha256':hashlib.sha256(cp.read_bytes()).hexdigest(), + 'live_columns_each_orientation':n,'arbitrary_helper_columns':can['R'], + 'all_live_source_and_helper_rows_restored':True,'all_target_rows_correct':True, + 'negative_controls_rejected':list(controls),'old_response_additions':len(comp), + 'complete_forward_scalar_operations':len(program),'coefficient_histogram':dict(coeff), + 'frames':len(frames),'nested_directed_edges':len(edges),'common_frame_incidences':incidences, + 'orthogonal_transport_vector':43,'transported_ports_exactly_match_fixed_routes':True, + 'local_profile':dict(sorted(paid.items())), + 'two_rational_moment_engines':True,'next_b_grid_rejected':True, + 'remaining':['new general scalar-interface proof integration','exact phase and emitted local/global program','finite invoice and outer assembly'], + 'scope':'Substantial new scalar-network candidate. All parameter values remain prospective until the expanded scalar interface and complete phase-aware supplier are admitted.', + 'seconds':time.monotonic()-start} +(OUT/'SCALAR-FRAME-AUDIT.json').write_text(json.dumps(report,indent=2)+'\n') +print('PASS audit',report['seconds'],flush=True) diff --git a/research/tensor-response-r715/vendor/transport/upstream449/emit_cxg.py b/research/tensor-response-r715/vendor/transport/upstream449/emit_cxg.py new file mode 100644 index 0000000000..8075000813 --- /dev/null +++ b/research/tensor-response-r715/vendor/transport/upstream449/emit_cxg.py @@ -0,0 +1,146 @@ +# Adapted from PR425 by icekylinx with Codex assistance. +"""Emit both local programs, integrate the fixed nine-stage geometry, and bill. + +The expanded scalar interface is justified in PROOF.txt. This script does not +claim a Lean proof or discharge the inherited all-size/analytic interfaces. +""" +import copy,gzip,hashlib,importlib.util,json,math +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + +OUT=Path('split-centres');cp=OUT/'CANONICAL-WORD.json.gz' +c=json.load(gzip.open(cp)) +frames=c['frames'];v,R,h=c['v'],c['R'],c['h'];n=2*v+R +def digest(x):return hashlib.sha256(json.dumps(x,sort_keys=True,separators=(',',':')).encode()).hexdigest() +def basis(vs): + b={} + for x in vs: + for p in sorted(b,reverse=True): + if x>>p&1:x^=b[p] + if x: + p=x.bit_length()-1 + for q in b: + if b[q]>>p&1:b[q]^=x + b[p]=x + return tuple(b[p] for p in sorted(b,reverse=True)) +def dual(e): + e=list(e) + if e[0]=='add':e[1],e[2]=e[2],e[1];e[3]*=-1 + else:e[2],e[3]=e[3],e[2] + return e +def scalar(e,back): + e=dual(e) if back else list(e) + if e[0]=='add':return ['add',['L',e[1]],['L',e[2]],e[3],e[4]] + return ['scale',['L',e[1]],e[2],e[3]] +def primitive_bound(e): + if e[0] in ('clear','copy'):return 1 + q=Q(e[3],e[4]) if e[0]=='add' else Q(e[2],e[3]) + a,b=abs(q.numerator),q.denominator + assert b&(b-1)==0 + if e[0]=='scale': + assert a&(a-1)==0 + return abs(a.bit_length()-b.bit_length())+int(q<0) + # Exact binary Horner multiplication on a cleared private stream, repeated + # halving, signed accumulation into the target, then clear the private stream. + return 3+(a.bit_length()-1)+a.bit_count()+(b.bit_length()-1) + +def emit(back): + out=[];cur=c['start'].copy() + def event(e):out.append(e) + def scal(e,f):event(['scalar',e,f]) + event(['phase','zero_frame_precondition']) + for e in c['precondition']+c['compensation']: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + assert all(c['start'][r]==0 for r in regs) + scal(scalar(e,back),0) + event(['phase','entry_adapters']) + for r,f in enumerate(c['start']):event(['adapter','old_to_new',r,f]) + def climb(r,f,part): + old=cur[r] + if old==f:return + assert basis(frames[old]+frames[f])==tuple(frames[f]) + rank=len(frames[f])-len(frames[old]);assert rank>0 + event(['climb',part,r,old,f,rank]);cur[r]=f + for part in ('A','centers','B','final'): + event(['phase',part]) + if part in ('A','B'): + for e in c[part]: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + for r in regs:climb(r,e[-1],part) + scal(scalar(e,back),e[-1]) + elif part=='centers': + tl=c.get('target_levels',{}) + lv=lambda r:tl.get(str(r-v),tl.get(r-v,0)) + assert all(cur[r]==lv(r) for r in range(v,2*v)) + for k,r in enumerate(c['centers']): + cf=c['center_frames'][k];assert cur[r]==cf + terms=[e for e in c['cut'] if e[2]==r] + served=sorted({lv(e[1]) for e in terms},key=lambda L:-len(frames[L])) + path=[cf]+[L for L in served if L!=cf] # descending chain of frames + C=['C',k] + if not back: + scal(['clear',C],cf);scal(['copy',C,['L',r]],cf) + for a in range(len(path)): + if a>0:event(['center',k,path[a-1],path[a],len(frames[path[a-1]])-len(frames[path[a]])]) + for e in terms: + if lv(e[1])==path[a] or (a==0 and lv(e[1])==cf):scal(['add',['L',e[1]],C,e[3],e[4]],path[a]) + scal(['clear',C],path[-1]) + else: + scal(['clear',C],path[-1]) + for a in range(len(path)-1,-1,-1): + for e in terms: + if lv(e[1])==path[a] or (a==0 and lv(e[1])==cf):scal(['add',C,['L',e[1]],e[3],e[4]],path[a]) + if a>0:event(['center',k,path[a],path[a-1],len(frames[path[a-1]])-len(frames[path[a]])]) + scal(['add',['L',r],C,-1,1],cf);scal(['clear',C],cf) + else: + for r,f in enumerate(c['final']):climb(r,f,part) + event(['phase','exit_adapters']) + for r,f in enumerate(c['final']):event(['adapter','new_to_old',r,f]) + event(['phase','full_frame_cleanup']) + for e in c['cleanup']: + regs=[e[1]]+([e[2]] if e[0]=='add' else []) + assert all(c['final'][r]==1 for r in regs) + scal(scalar(e,back),1) + event(['phase','done']) + return out + +def check_local(events,back): + # Literal scalar replay of the emitted stream, including center lifetimes. + state={('L',r):{r:Q(1)} for r in range(n)};live=[];paid=Counter();prims=0;macros=0 + for e in events: + if e[0]=='climb':assert not live;paid[e[5]]+=1 + elif e[0]=='center':assert live==[e[1]];paid[e[4]]+=1 + elif e[0]=='scalar': + op=e[1];tag=op[0];t=tuple(op[1]);macros+=1;prims+=2*primitive_bound(op) + if tag=='clear': + state[t]={} + if t[0]=='C' and t[1] in live:live.remove(t[1]) + elif tag=='copy':state[t]=dict(state.get(tuple(op[2]),{}));live.append(t[1]) + elif tag=='scale':state[t]={j:Q(op[2],op[3])*x for j,x in state[t].items()} + else: + s=tuple(op[2]);q=Q(op[3],op[4]);row=state.setdefault(t,{}) + if t[0]=='C' and t[1] not in live:live.append(t[1]) + for j,x in list(state.get(s,{}).items()): + z=row.get(j,Q(0))+q*x + if z:row[j]=z + else:row.pop(j,None) + assert not live and all(not row for r,row in state.items() if r[0]=='C') + for r in range(n): + expected={r:Q(1)} + if back and r Date: Sun, 11 Oct 2026 12:31:31 -0700 Subject: [PATCH 3/4] Add files via upload --- research/tensor-response-r715/MANIFEST.json | 184 ++ research/tensor-response-r715/PR.md | 42 + research/tensor-response-r715/PROOF.md | 37 + research/tensor-response-r715/PROVENANCE.md | 25 + research/tensor-response-r715/README.md | 13 + research/tensor-response-r715/RECENT-PRS.json | 219 ++ .../tensor-response-r715/REPLAY-MANIFEST.json | 184 ++ .../inputs/complex-reuse-pin.json | 112 + .../inputs/complex-selection.json | 317 +++ .../inputs/complex-selection79.json | 435 ++++ .../geometry/data/bit/bitE8-r865.json.gz | Bin 0 -> 33865 bytes .../inputs/kernel510.json.gz | Bin 0 -> 35963 bytes .../inputs/kernel79.json.gz | Bin 0 -> 37942 bytes .../inputs/rank151.json.gz | Bin 0 -> 54614 bytes .../inputs/residual-isometries.json | 2230 +++++++++++++++++ .../notices/PR433-LICENSE | 201 ++ .../notices/PR433-NOTICE.md | 43 + .../notices/PR451-LICENSE | 201 ++ .../notices/PR451-NOTICE.md | 32 + .../notices/PR453-LICENSE | 201 ++ .../notices/PR453-NOTICE.md | 3 + .../pricing/prime_witnesses.py | 99 + .../proofs/BORROWED-SPECTATOR.md | 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/dev/null +++ b/research/tensor-response-r715/PR.md @@ -0,0 +1,42 @@ +Conditional kappa = 0.001296606691405309: response-kernel cancellation and nested-donor flags on R715 + +This adds `research/tensor-response-r715/`, a source-bound offline construction and replay package. + +**Conditional kappa = 0.001296606691405309**, exactly `1296606691405309/1000000000000000000`: **+0.08476450% over #478** (`0.001295508560071773`) and **+0.19840410% over the pinned warm #473 claim** (`0.001294039264416565`). The bit supplier binds. This compares the complete whole-owner route; it is not a claim to exceed proposals using different admission assumptions. + +## Concrete new mechanisms + +1. **Simultaneous response-kernel cancellation.** Compute each immutable-source injection's transported target response. Delete a packet only when its response sum vanishes for every source. The useful cross-helper pair reads source3 at helpers444 and246; neither injection is removable alone. Rebuild inverse cleanup. Its local paid delta replaces rank1 plus rank5 by rank6, so strict subadditivity gives a moment improvement for every relevant exponent. Ten further duplicate pairs only reduce scalar work. Altogether22 injections and22 cleanup additions disappear, with all22 single-deletion controls rejected. +2. **Nested-donor flags.** Replace the old one-entrance-per-donor construction restriction with an explicit sufficient flag schedule. Donors receive logical shears at increasing nested frames; all dirty values remain arbitrary. Ten pivot upgrades yield110 pivots,102 physical donors,120 correction groups and total entrance rank129. Exact response relations, frame chains and residual isometries are checked. The new constructor is explicit; the old constructor's equal-entrance guard is not silently ignored. + +These are combined with the new retain-and-repair #473 kernel and our14 target factors from #478. Gains are priced through the complete composed program, never added. The full local/native and physical ownership checks use the actual changed word. All88 calls use one uniform provider; all62920 residual occurrences remain wholly on single physical families. No unverified heterogeneous portfolio or cross-family split contributes. + +## Exact pricing and validation + +- Bit saving lower bound: `1298290062988365072981/1000000000000000000000000`. +- Complex saving lower bound: `1305231506267591/1000000000000000000`, the unchanged source-bound completed supplier from #471. +- Bit dimension78,9600 live/9609 physical families; complete rank mass745536. +- Fresh physical prefix837bits, charged896; three-level coefficient2567bits, charged2624; row coefficient19431<20161. +- Source reconstruction,955 arbitrary-dirty binary columns, rational frames/integer operand spans, native signed/formal columns, physical target labels, mixing controls, Gram/projectors, global owner audit, fresh invoice, both exact moment implementations and all47 strict outer inequalities pass. Mutation controls cover the changed constructors and inherited physical audit. + +Run: + +```text +python -B research/tensor-response-r715/verify.py /absolute/new/output +``` + +Python3.11+, SymPy, a C++17 compiler and Boost headers are required. Replay uses no network or optimizer. Default replay rebuilds both suppliers. Our completed changed-component run explicitly reuses the unchanged complex supplier only after matching87 implementation hashes and17 output hashes against its pinned completed receipt. That mode emits a distinct receipt; it is not described as a fresh complex execution. VALIDATION.json records the actual run scope. GitHub CI is separate and is not claimed passed. + +## Sources, credit and retained research + +Direct inputs: #473 (new warm kernel), #478 (retained14 target factors), #472/#470/#467 (R715 kernels, retiming, whole-owner pooling), #463 (R715 carrier and XOR word), #450 (target mixing), #455/#476 (earlier target factoring and portable audits), and #471 (unchanged complex normalization/spectators). The retained complex/hosting/compiler lineage includes #449, #456, #457, #451, #454, #417, #442, #433, #425, #386, #377 and #370; outer assembly comes through #434/#315. #469 is credited for delivery scheduling, not its separate cross-family proposal. Upstream notices and licenses are preserved. + +#477's categorized experiment archive helped avoid repeating exhausted representations. #475, #474 and #397 were reviewed without counting their distinct results as numerical gains; #461/#465's sharper bad-edge charge is not used. RECENT-PRS.json records the frozen source sweep through #478 and explicitly records unavailable historical receipt files at the pinned #473 head. + +The library search read actual proof sources: ReasBook Woodbury/Schur update structure, Mathlib matroid exchange and subspace flags, OpenAI annihilator and SL-commutator proofs, CSLib diamond/confluence, Hadamard6 and prior tensor/CNOT project lemmas. Source hashes and sufficient mathematical proofs are retained. No new Lean kernel certification or exhaustive literature-priority claim is made. + +The third search lane tested noncommuting transport, GL3 basis changes, chronological affine synthesis, central-response cancellation and cleanup resynthesis. It found no admissible gain. These constructions, bounded results and C++ sources are retained for future workers; they are not advertised as a third successful technique. Previous affine-controller and heterogeneous-provider notes remain explicitly uninstantiated or unverified. + +## Scope + +All inherited all-size supplier/compiler, mutable-basis/target-label, complete-call correlated-dirty hosting, compressed-window, restored-work, precision, row and analytic interfaces remain conditional. This is not an unconditional sub-n-log-n multiplication theorem, a new Lean certificate, or a global optimum. diff --git a/research/tensor-response-r715/PROOF.md b/research/tensor-response-r715/PROOF.md new file mode 100644 index 0000000000..c12a36a5b5 --- /dev/null +++ b/research/tensor-response-r715/PROOF.md @@ -0,0 +1,37 @@ +# Sufficient construction and composition + +This proves the finite transformations and explains their composition with the inherited conditional all-size compiler/supplier and analytic interfaces. It does not remove those interfaces or prove an unconditional integer-multiplication theorem. + +## 1. Retained source and target factors + +Start with the pinned warm PR473 word. Reconstruct the14 disjoint target-interval factors retained from PR478. If donor d gains B and receiver u originally gains A during an interval, setup u+=d, replace the receiver increment by A+B, then recovery u+=d gives (u+d)+(A+B)+(d+B)=u+A over F2. Each concrete frame/operand is checked; the scalar identity alone does not license arbitrary physical routing. These factors are inherited, not new in this submission. + +## 2. Simultaneous response-kernel packets + +For each selected source injection i, propagate its destination to the final target vector to obtain response r_i. Sources are immutable. Deleting a set S changes the final target map by + + sum_s (sum_{i in S, source(i)=s} r_i) x_s. + +All sums are over F2. Therefore a zero response sum for each source is a sufficient certificate for simultaneous deletion, even if every selected injection is individually observable. Rebuild helper cleanup as the literal inverse of the modified helper network. Sources and all arbitrary dirty helper values are then restored; the target map is unchanged, so the original dirty-target compensation remains valid. + +The realized cross-helper pair reads source3 at helpers444 and246. Each single deletion fails; the pair succeeds. Its paid local delta replaces rank1 and rank5 children by rank6. For p=1-a in(0,1),6^p<1+5^p, so the recurrence moment strictly decreases at fixed rank mass. Ten additional full-frame duplicate pairs remove scalar operations without an additional moment gain. The combined packet constructor removes22 injections and their22 inverse-cleanup partners; all22 single-deletion controls fail. Backward-response certificates, all955 binary dirty columns, exact rational frame ranks and clean integer operand supports are replayed. + +The Woodbury/Schur and sparse-annihilator source analogues suggested the small response-product certificate U V=0. The elementary proof above is sufficient here; no inverse formula over the wrong field is assumed as a physical construction. + +## 3. Nested-donor flags + +The public constructor requires every donor to serve only one entrance frame. That is a sufficient construction restriction, not a requirement of the common-frame physical compiler. We replace it explicitly. + +Write a register's value in current frame F as T_F h, with logical value h. A legal climb changes the physical representation from T_F h to T_G h without changing h. At a common frame, a donor correction induces the logical shear h_d+=h_p. Therefore a donor can receive corrections at several nested frames in increasing order. Pivot/donor disjointness makes their logical shears commute; frame inclusions must still be checked for the chosen chronology. No dirty register is assumed zero. + +For each pivot p, the exact response relation is R_p=sum_{d in donors(p)}R_d. Thus the donor corrections cancel its otherwise uncorrected target response. Full-frame inverse corrections restore the helper logical values. A helper starting at E and ending at FULL implements T_FULL*T_E^-1; the inherited bit projector interface identifies its active residual with the complement of E. Every entrance in this witness has an explicit rational orthogonal isometry; the exact projector equations and permitted coordinate-route cost are checked. + +The selected word upgrades ten pivots while keeping110 pivots and102 physical donors. Its correction prefix has120 grouped rows and total entrance rank129. The actual monotone chains, all response relations, all955 dirty columns and every integer-clean operand span are checked. Deleting a selected correction or reverting its frame is rejected. An independent review recomputes the relations, prefix chains and all16 residual isometries. The old equal-entrance constructor is not invoked to justify this extension. + +## 4. Whole-owner compilation and pricing + +The changed uniform provider is used in all88 complete invocations of the eleven-stage, eight-replica controller. Every one of62920 residual occurrences stays wholly on one physical family. The new width inventory is packed by an explicit integral selection; the verifier runs no optimizer. It independently checks the complete owner array, time windows, residual coordinate slices, forward/reverse local streams and global reconstruction. No gain is obtained by splitting a correlated dirty invocation across unrelated arrays. + +Native legality, signed/formal-column checks, physical target labels, mixing controls, Gram data, exact projectors and independent global audit are run on the changed word. The emitted program supplies a fresh integer row-L1 prefix bound, finite precision/work invoice and row coefficient. Both rational moment implementations certify the actual complete child profile. The unchanged completed complex supplier is either rebuilt by default or reused only after checking its pinned implementation and output hashes. Six bootstrap steps and all47 strict outer inequalities then give RESULT.json's kappa. Reported improvements are composed through these profiles; they are never added. + +The separate research notes retain the universal packet and flag proofs, concrete witnesses, source hashes, and bounded searches that did not yield improvements. No third positive technique is claimed. diff --git a/research/tensor-response-r715/PROVENANCE.md b/research/tensor-response-r715/PROVENANCE.md new file mode 100644 index 0000000000..34a6b8c4ec --- /dev/null +++ b/research/tensor-response-r715/PROVENANCE.md @@ -0,0 +1,25 @@ +# Provenance and attribution + +The source snapshot is frozen through PR478. RECENT-PRS.json records the changed heads, comparison with the prior sweep, and files unavailable at the pinned PR473 head. No live refresh is performed during packaging. Public claims are attributed; unchanged public verification chains were not rerun. + +## Direct construction sources + +- [PR473](https://github.com/CrocSwap/integer-mult-bounds/pull/473), head `2242365e482de3c6d230de86340896e5f46ec403`: retain-and-repair R715 kernel with110 pivots, entrance rank119 and102 donors. Its word is the source-bound input to our constructors. This is a direct reused improvement, not our new technique. +- [PR478](https://github.com/CrocSwap/integer-mult-bounds/pull/478), head `bea1d52fd330c699903f81612ee58be81697d1eb`: our14 checked target factors, portable physical audit, and previous reference kappa0.001295508560071773. The factors are reconstructed on the new473 word. +- [PR472](https://github.com/CrocSwap/integer-mult-bounds/pull/472), [PR470](https://github.com/CrocSwap/integer-mult-bounds/pull/470), [PR467](https://github.com/CrocSwap/integer-mult-bounds/pull/467): R715 shared kernels, retiming, stable delivery scheduling, eight-replica whole-owner packing and implementation lineage. +- [PR463](https://github.com/CrocSwap/integer-mult-bounds/pull/463): R715 carrier/frame-pair and binary-cancellation construction. +- [PR450](https://github.com/CrocSwap/integer-mult-bounds/pull/450): mutable target mixing and its target-label interface. +- [PR455](https://github.com/CrocSwap/integer-mult-bounds/pull/455), [PR476](https://github.com/CrocSwap/integer-mult-bounds/pull/476): earlier explicit target prefix constructions, portable audits, and pricing. No first-use claim for prefix factoring. +- [PR471](https://github.com/CrocSwap/integer-mult-bounds/pull/471): unchanged complex monomial normalization and same-owner spectator construction, retained as a completed hash-bound supplier. +- [PR449](https://github.com/CrocSwap/integer-mult-bounds/pull/449), [PR456](https://github.com/CrocSwap/integer-mult-bounds/pull/456), [PR457](https://github.com/CrocSwap/integer-mult-bounds/pull/457), [PR451](https://github.com/CrocSwap/integer-mult-bounds/pull/451), [PR454](https://github.com/CrocSwap/integer-mult-bounds/pull/454), [PR417](https://github.com/CrocSwap/integer-mult-bounds/pull/417): inherited response kernels, complex pooling, whole-family hosting and physical compiler lineage. +- [PR442](https://github.com/CrocSwap/integer-mult-bounds/pull/442), [PR433](https://github.com/CrocSwap/integer-mult-bounds/pull/433), [PR425](https://github.com/CrocSwap/integer-mult-bounds/pull/425), [PR386](https://github.com/CrocSwap/integer-mult-bounds/pull/386), [PR377](https://github.com/CrocSwap/integer-mult-bounds/pull/377), [PR370](https://github.com/CrocSwap/integer-mult-bounds/pull/370): inherited geometry, compiler and audit foundations. Outer assembly is through [PR434](https://github.com/CrocSwap/integer-mult-bounds/pull/434) and [PR315](https://github.com/CrocSwap/integer-mult-bounds/pull/315). + +PR469 is credited for stable delivery reordering in the parent473 lineage; its cross-family hosting proposal is not imported. PR477's categorized experiment archive informed the search and distinction between restricted failures and impossibility. PR475's complementary reservoirs, PR474's receipt binding and PR397's indexed scalar bridge were reviewed without adding their claims as numerical gains. PR461/465's sharper bad-edge charge is not used. + +Upstream notices, licenses and authorship are preserved in vendored code. The new contribution is simultaneous response-kernel packet deletion plus a sufficient nested-donor flag extension and its concrete whole-owner composition. This is a claim about additions to this construction, not exhaustive literature priority. + +## Lean/source inspiration + +Actual declaration/proof reads and SHA256 hashes are retained in research-notes/response, research-notes/flags and research-notes/chronological. They distinguish source-only retrieval from prior checked DAG records. Relevant structures include ReasBook Sherman-Morrison-Woodbury, Mathlib Schur block factorization, Mathlib matroid exchange/closure and basis flags, OpenAI sparse annihilator reflections and elementary transvection commutators, CSLib diamond/confluence, and prior tensor/CNOT project lemmas. Elementary sufficient proofs are provided here; no external source theorem is treated as an unproved physical compiler or cost oracle. No new Lean certificate is claimed. + +Historical dependency notes are retained as research-notes/PREVIOUS-PROVENANCE.md; historical heads there do not replace this release's frozen input hashes. diff --git a/research/tensor-response-r715/README.md b/research/tensor-response-r715/README.md new file mode 100644 index 0000000000..beaa7bb339 --- /dev/null +++ b/research/tensor-response-r715/README.md @@ -0,0 +1,13 @@ +# Response cancellation and nested donor flags + +Conditional kappa **0.001296606691405309** (`1296606691405309/1000000000000000000`), +0.08476450% over PR478. The bit supplier binds. Two new sufficient constructions are combined with the pinned PR473 warm kernel and retained14 target factors. The third library-search lane found no admissible improvement and is documented honestly. + +Run `python -B research/tensor-response-r715/verify.py /absolute/new/output` from the repository root. Requires Python3.11+, SymPy, C++17 and Boost headers; set CXX and BOOST_INCLUDE if needed. The output directory must be new and outside this package. No optimizer or network is used. + +The default verifier reconstructs both suppliers. The explicit `--complex-output /path/to/completed/run` mode checks the pinned completed complex receipt,87 implementation files and17 outputs before reuse; its receipt identifies that limited execution scope. See VALIDATION.json for the actual completed run. + +PROOF.md gives the sufficient construction and assembly. RESULT.json contains exact rational bounds and47 strict inequalities. PR.md supplies the title/body. PROVENANCE.md and RECENT-PRS.json record direct PR influences and frozen source pins. Research notes include source hashes, independent mathematical review, unsuccessful finite screens and retained earlier ideas. MANIFEST.json binds the final package; REPLAY-MANIFEST.json identifies the inputs used by the recorded replay. + +The input is PR473@2242365e482de3c6d230de86340896e5f46ec403. Constructors run in order:14 target factors, simultaneous source-response packets, nested-donor flags. Final word SHA25686ec5a244728e90714d545d0ecb8557346577f9e5c4a265b1cad844398ba4f02. Every new residual occurrence is assigned wholly to one owner. The inherited complex supplier is unchanged. + +All-size and analytic interfaces remain conditional. No new Lean certificate, unconditional multiplication theorem, GitHub CI pass or global optimality is claimed. Source retrieval across the registered libraries is not a fresh kernel audit. diff --git a/research/tensor-response-r715/RECENT-PRS.json b/research/tensor-response-r715/RECENT-PRS.json new file mode 100644 index 0000000000..c056e3830e --- /dev/null +++ b/research/tensor-response-r715/RECENT-PRS.json @@ -0,0 +1,219 @@ +{ + "scope": "Initial updated-PR sweep; no verification replay of unchanged public constructions. Freeze this snapshot for packaging.", + "new_prs": [ + 476, + 477, + 478 + ], + "updated_prs": [ + 473, + 186 + ], + "notes": { + "473": "Head2242365e: warm kernel110pivots rank119, conditionalkappa0.001294039264416565; fullwrapperpending in fetched text.21 validationfiles from diff unavailableat pinnedhead; not claimed downloaded or verified.", + "477": "100idea archive and200 kerneltrials; no newbound. 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