From 1b9db2faf82b8866b0bb0164501c9a627c7dca9b Mon Sep 17 00:00:00 2001 From: Gonzalo-Mier Date: Tue, 13 Oct 2026 23:03:20 +0200 Subject: [PATCH] Add verified #1094 idle-pair exchange candidate --- README.md | 7 + .../ACTUAL-SIGMAS.json.gz | Bin 0 -> 579505 bytes .../BASE-EMITTER-REPLAY.json | 32 + .../CANDIDATE.json | 215 + .../GLOBAL-TEMPLATE.json.gz | Bin 0 -> 1454649 bytes .../frontier1094-idle-exchanges/HOSTED.json | 55 + .../IDLE-PAIR-OVERLAY.json | 403349 +++++++++++++++ .../IDLE-REMAINDER-FRAMES.json.gz | Bin 0 -> 84632 bytes .../OVERLAY-AUDIT.json | 40 + .../frontier1094-idle-exchanges/README.md | 112 + .../assemble_candidate.py | 241 + .../audit_allcold_idle_overlay.py | 277 + .../build_candidate.py | 157 + .../math_support.py | 114 + .../replay/ADMISSION-RECEIPT.json | 21 + .../replay/ASSEMBLY-CONTROLS.json | 102 + .../replay/ASSEMBLY.json | 347 + .../replay/BASELINE-ASSEMBLY.json | 345 + .../replay/BIT-SUPPLIER-CONTROLS.json | 49 + .../replay/INTEGRATION-METHOD.md | 49 + .../replay/SPEC-candidate.json | 1976 + .../replay/audit/ASYNC-AUDIT.json | 77 + .../replay/audit/GLOBAL-PREFIX.json | 13 + .../replay/audit/IDLE-REMAINDER-FRAMES.json | 16 + .../replay/audit/OWNERS-AND-PROFILE.json | 54 + .../replay/audit/PREFIX-AND-INVOICE.json | 2814 + .../verify_overlay.py | 170 + 27 files changed, 410632 insertions(+) create mode 100644 research/frontier1094-idle-exchanges/ACTUAL-SIGMAS.json.gz create mode 100644 research/frontier1094-idle-exchanges/BASE-EMITTER-REPLAY.json create mode 100644 research/frontier1094-idle-exchanges/CANDIDATE.json create mode 100644 research/frontier1094-idle-exchanges/GLOBAL-TEMPLATE.json.gz create mode 100644 research/frontier1094-idle-exchanges/HOSTED.json create mode 100644 research/frontier1094-idle-exchanges/IDLE-PAIR-OVERLAY.json create mode 100644 research/frontier1094-idle-exchanges/IDLE-REMAINDER-FRAMES.json.gz create mode 100644 research/frontier1094-idle-exchanges/OVERLAY-AUDIT.json create mode 100644 research/frontier1094-idle-exchanges/README.md create mode 100644 research/frontier1094-idle-exchanges/assemble_candidate.py create mode 100644 research/frontier1094-idle-exchanges/audit_allcold_idle_overlay.py create mode 100644 research/frontier1094-idle-exchanges/build_candidate.py create mode 100644 research/frontier1094-idle-exchanges/math_support.py create mode 100644 research/frontier1094-idle-exchanges/replay/ADMISSION-RECEIPT.json create mode 100644 research/frontier1094-idle-exchanges/replay/ASSEMBLY-CONTROLS.json create mode 100644 research/frontier1094-idle-exchanges/replay/ASSEMBLY.json create mode 100644 research/frontier1094-idle-exchanges/replay/BASELINE-ASSEMBLY.json create mode 100644 research/frontier1094-idle-exchanges/replay/BIT-SUPPLIER-CONTROLS.json create mode 100644 research/frontier1094-idle-exchanges/replay/INTEGRATION-METHOD.md create mode 100644 research/frontier1094-idle-exchanges/replay/SPEC-candidate.json create mode 100644 research/frontier1094-idle-exchanges/replay/audit/ASYNC-AUDIT.json create mode 100644 research/frontier1094-idle-exchanges/replay/audit/GLOBAL-PREFIX.json create mode 100644 research/frontier1094-idle-exchanges/replay/audit/IDLE-REMAINDER-FRAMES.json create mode 100644 research/frontier1094-idle-exchanges/replay/audit/OWNERS-AND-PROFILE.json create mode 100644 research/frontier1094-idle-exchanges/replay/audit/PREFIX-AND-INVOICE.json create mode 100644 research/frontier1094-idle-exchanges/verify_overlay.py diff --git a/README.md b/README.md index 2f7d74617f..f8c5f54b60 100644 --- a/README.md +++ b/README.md @@ -32,6 +32,13 @@ All twelve packing candidates pass complete strict local admission, controller/i [Integration receipt](docs/research/community-batch1099-integration.json) · [PR ledger](docs/research/pr-ledger.md) · [Contributors](CONTRIBUTORS.md) +**Unreviewed research candidate:** an idle-pair repartition on the #1094 +replay has a fresh strict controller/owner audit, invoice and assembly at +`κ = 0.001672846574134982`; its 15 controller, 69 assembly, and 12 bit-supplier +mutation controls pass. It remains unreviewed and is not promoted to the +selected result yet. See the +[candidate, receipts and scope](research/frontier1094-idle-exchanges/README.md). + ```sh # Also requires a C++17 compiler and Boost headers. python3 -m pip install numpy sympy scipy diff --git a/research/frontier1094-idle-exchanges/ACTUAL-SIGMAS.json.gz b/research/frontier1094-idle-exchanges/ACTUAL-SIGMAS.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..c0b2eeb6dda42a8bb827ef9094f3900e812a454a GIT binary patch literal 579505 zcmXV1bzGEP6IG;3N;*`eyQQTi1nKVX?s{pZm5yaWy1PqSI+t1+X?E$ZZx_Gk|M}hf z%)K*n&Y8JXQK&EAAHvgNyKK6Cb43GRN@qFpLAUD3Ci0N1*Xd)G$7ghN=Ox{Ru68=r zocX@@Vr^*uAqG8NJ(aEdVvB-eGy4MuNMzi88YJWx>>9jhYv>og;4EfkwLcdtT-SWs zdAjYi6&3A|TRezs2{^wrU1z(H$v7A&!|GfWWfVEiO$xe7Y7JQPJ-!2t{{~+Ph|XsE z_wgkz2h@S~iA62QAmn~-naxBZ{+=GFZZ}f0qO0SG{}j=D;X9<| z)!dJHrN4DKr4!}tfSG49WE!0c>D9XJXWB6uYwc}2M(^OZ5Xl-`r$Oc24m1h(jIh%9 zY~06fT81S)aBmYeXwqi+=|28*Mk)s(xnWe;e|i>Ob!_3wo91)o#yB z6;p)TPhtC5vgK3k-}U#KOAY^EYywgT=>1n496w{3R-_Iy_)?-Wn0YE5cnx$Pd6o-) 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zA2!s%I@sZyo4NNmixGMtByLT6ExsSV@c 2·51² = 5202`. +An exhaustive matching over each replica/port group confirms that 1,825 is +the maximum number of disjoint pairs for this move and commuting condition. + +## Reproduction and receipts + +The retained selected replay and T16 source archive make the candidate +reproducible. First extract them, restore the exact frozen data inputs, emit +the baseline hosted template, and audit that emission: + +```sh +mkdir -p /tmp/frontier1094 /tmp/rarepkg +mkdir -p /tmp/frontier1094/baseline-audit +tar -xzf research/community-frontier1094-audit/selected-replay.tar.gz \ + -C /tmp/frontier1094 candidate/strict/global +tar -xzf research/complex-t16-rare-pattern-exchanges/upstream1087.tar.gz \ + -C /tmp/rarepkg +cp research/complex-t16-rare-pattern-exchanges/data/{SPEC.json,PLAN.json,OWNERS.json.gz} \ + /tmp/rarepkg/data/ +WITNESS_SPEC=/tmp/rarepkg/data/SPEC.json \ + python3 -B /tmp/rarepkg/code/emit_allcold.py \ + --base /tmp/frontier1094/candidate/strict/global/base \ + --owners /tmp/rarepkg/data/OWNERS.json.gz \ + --plan /tmp/frontier1094/candidate/strict/global/PLAN.json \ + --out /tmp/frontier1094/baseline-hosted +WITNESS_SPEC=/tmp/rarepkg/data/SPEC.json \ + python3 -B /tmp/rarepkg/code/audit_allcold.py \ + /tmp/frontier1094/candidate/strict/global/base \ + /tmp/frontier1094/baseline-hosted \ + /tmp/frontier1094/baseline-audit/ASYNC-AUDIT.json --mutation-controls +python3 -B research/frontier1094-idle-exchanges/build_candidate.py \ + --replay-root /tmp/frontier1094/candidate/strict/global \ + --baseline-hosted-root /tmp/frontier1094/baseline-hosted +cp research/frontier1094-idle-exchanges/replay/SPEC-candidate.json \ + /tmp/rarepkg/data/SPEC.json +T16_SOURCE_CODE=/tmp/rarepkg/code \ +T16_BASE_HOSTED=/tmp/frontier1094/baseline-hosted \ +WITNESS_SPEC=/tmp/rarepkg/data/SPEC.json \ + python3 -B research/frontier1094-idle-exchanges/audit_allcold_idle_overlay.py \ + /tmp/frontier1094/candidate/strict/global/base \ + research/frontier1094-idle-exchanges \ + /tmp/frontier1094/candidate-audit.json --mutation-controls +python3 -B research/frontier1094-idle-exchanges/verify_overlay.py \ + --replay-root /tmp/frontier1094/candidate/strict/global \ + --baseline-hosted-root /tmp/frontier1094/baseline-hosted +``` + +The fresh emission is compared byte-for-byte in +[`BASE-EMITTER-REPLAY.json`](BASE-EMITTER-REPLAY.json). The candidate controller +command, full invoice and strict assembly are recorded in +[`replay/INTEGRATION-METHOD.md`](replay/INTEGRATION-METHOD.md). The exact global +assembly passed in strict mode using +[`replay/SPEC-candidate.json`](replay/SPEC-candidate.json); its full output is +[`replay/ASSEMBLY.json`](replay/ASSEMBLY.json), and the invoice is in +[`replay/audit/PREFIX-AND-INVOICE.json`](replay/audit/PREFIX-AND-INVOICE.json). +The finite row coefficient remains 16469, and every strict invoice and outer +assembly check passes. + +The baseline emitter was rerun and reproduced the archived #1094 template, +idle frames, sigma maps and hosted summary byte-for-byte. Then the independent +serialized controller/owner auditor was adapted to read the explicit axis +overlay and rerun against the candidate; all 15 controller mutation controls +were rejected. The official mixed-provider invoice, strict global assembly, +all 69 assembly controls, and all 12 bit-supplier controls passed. + +This remains a finite conditional construction, not a complete Lean theorem. +The candidate is not yet the repository's reviewed selected result; it needs +independent research review. Existing all-size compiler, common-label and +mutable-source realization, precision/tape, recovery, and analytic-transfer +obligations remain conditional. + +## Open next questions + +- Can an independent reviewer reproduce the 1,825-pair maximum-matching bound + from the frozen #1094 replay and verify the overlay without trusting the + candidate builder? The first step is to replay the package instructions and + inspect the pair-group matching certificate; the blocker is the size of the + retained replay and its external pinned engine sources. +- Can another commuting repartition or a coordinated move across more than two + idle children improve the exact invoice while retaining the frozen controller + and phase constraints? Start by searching larger local exchange patterns; + the main blocker is proving a global maximum over those broader move classes. +- Which conditional proof obligations prevent this finite κ gain from becoming + an end-to-end multiplication theorem? Start from the selected-result record + and its review; the blockers include the compiler, mutable-source, precision, + recovery, and analytic-transfer arguments listed above. + +## Predecessors and attribution + +This package builds on the repository's reviewed #1094 selected replay and +retained T16 rare-pattern exchange source. The earlier #1042 idle-transvection +exploration supplied an initial search idea and pricing helper; this candidate +keeps its own pinned pricing support so it can be replayed without importing +that unreviewed package. The #1042 notes remain unchanged. + +Prepared with OpenAI Codex assistance. The exact pricing support pins each +moment and outer engine by source-file SHA-256 before loading it. diff --git a/research/frontier1094-idle-exchanges/assemble_candidate.py b/research/frontier1094-idle-exchanges/assemble_candidate.py new file mode 100644 index 0000000000..4f6f155560 --- /dev/null +++ b/research/frontier1094-idle-exchanges/assemble_candidate.py @@ -0,0 +1,241 @@ +"""Gauge44 complete global admission with the retained native exact-complex moment. + +Prepared with OpenAI Codex assistance. The rational engines and outer +constraints are retained from PR547/PR548 and their preserved ancestry. +The bit operator is the cited unchanged PR589 supplier (PR555's punctured +R439 word, v = 111, decoder constant 63, two A-section transports), shipped +as inputs/PR589-EXPECTED.json and pinned by git blob id. Its rank-mass +deficit is derived from the word's parameters, T(2Kv - L*cst) at nine +stages (PR545/PR555 rank-mass identity), not hard-coded. The complex owner +and invoice inputs must be freshly emitted by the packaged physical replay. +All conservative admission guards and conservative moment/outer witnesses run +before the PR559 native-complex correction. The bit surcharge is retained. +""" +from pathlib import Path +from fractions import Fraction as Q +from decimal import Decimal, localcontext +import argparse,json,hashlib,importlib.util,os,sys +from collections import Counter +assert __debug__, 'Assertions required' +P=Path(sys.argv[1] if __name__=='__main__' else os.environ['GAIN_PR564_SOURCE']).resolve() +read=lambda p:json.loads(p.read_text()) +sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest() +hash_ok=lambda x:isinstance(x,str) and len(x)==64 and all(t in '0123456789abcdef'for t in x) +digest=lambda x:hashlib.sha256(json.dumps(x,separators=(',',':')).encode()).hexdigest() +def load(n): + s=importlib.util.spec_from_file_location(n,P/'engines'/(n+'.py'));m=importlib.util.module_from_spec(s);s.loader.exec_module(m);return m +M,B,A=[load(n)for n in ('moment','base_two_moment','outer')] +def dec(x): + with localcontext()as ctx:ctx.prec=70;return str(Decimal(x.numerator)/Decimal(x.denominator)) +from witness import DISPATCH,CALL_ORDER,COUNTS,PIDS,X,DISCOVER,pin,SPOT,spot_widths +# Cited bit supplier: PR589's tune/EXPECTED.json (merged on main as research/e8-bit-p111-tuned/tune/EXPECTED.json). +BIT_PATH=Path(__file__).resolve().parents[1]/'gauge44-slots-t16/inputs/PR589-EXPECTED.json' +BIT_BLOB='e293ddc557742637f9f679f083a1a282d87b1b13' +# Nine-stage bit template (PR463/PR510 chain, 32 replicas): L stages, T replicas, K=(L-1)//2 pairs, moment width M=1+7L. +BIT_L,BIT_T=9,32;BIT_K=(BIT_L-1)//2;BIT_M=1+7*BIT_L +def git_blob(data):return hashlib.sha1(b'blob '+str(len(data)).encode()+b'\0'+data).hexdigest() +def load_bit(data): + """The pinned supplier record: its full record (word parameters) and its nine-stage price.""" + assert git_blob(data)==BIT_BLOB,'bit supplier blob pin' + return json.loads(data) +def bit_deficit(word,live): + """Rank-mass deficit M*live - mass = T(2Kv - L*cst) of a v-port bit word with decoder constant cst (PR545/PR555). + cst is the sum of the retained totals' COPY ranks and live = 2KvT data wires; both are cross-checked here, and the + caller checks the result against the priced profile, so neither v nor cst is free.""" + v,cst,ranks=word['v'],word['decoder_constant'],word['copy_ranks'] + assert type(v)is int and type(cst)is int and all(type(r)is int and 00;return d + + +def assemble(owner,invoice,owner_sha,invoice_sha): + # These are admission receipts, not optional collections of successful rows. + # Require both orientations and every finite check before pricing anything. + assert owner['status']=='PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE' + assert invoice['status']=='PASS_INDEPENDENT_MIXED_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE' + assert all(hash_ok(x)for x in (owner_sha,invoice_sha,owner['template_sha256'],owner['controller_audit_sha256'],invoice['parent_template_sha256'])) + checks={'local_primitive_bound','logical','router','literal','mass','precision','tape','row','halving'} + assert set(invoice['strict_checks'])==checks + assert all(invoice['strict_checks'][name] is True for name in checks) + assert set(invoice['providers'])==set(PIDS) + assert invoice['provider_counts']==COUNTS + assert owner['all_live_owners_per_call_distinct'] is True + # R (helpers per provider word) is read from the invoice and must be shared by every provider; n=2v+R. + R=invoice['helpers'];assert type(R) is int and R>0 and all(p['helpers']==R for p in invoice['providers'].values()) + assert owner['owners_per_call']==2*112+R and owner['actual_helper_owner_charts']==owner['hosted_residuals']==144*R==pin('expected.hosted_residuals',owner['hosted_residuals']) + pin('expected.rank_mass',owner['rank_mass']) + pin('expected.actual_73column_sigmas',owner['actual_73column_sigmas']);pin('expected.cross_replica_helper_roles',owner['cross_replica_helper_roles']) + pin('expected.idle_remainders',owner['explicit_idle_remainder_children']) + assert invoice['complete_invocation_sweeps']==invoice['bridge_sweeps']==144 + assert invoice['live']==owner['live'] and invoice['physical']==owner['physical'] + assert invoice['centres']==8 + assert invoice['physical_stock_identity']==dict(data_and_owner_families=14336,local_helpers=R,private_centres=8,coefficient_work=2) + assert sum(invoice['physical_stock_identity'].values())==invoice['physical'] + assert invoice['controller_audit_sha256']==owner['controller_audit_sha256'] + for pid,p in invoice['providers'].items(): + assert set(p['local'])=={'forward','backward'} + assert p['helpers']==R and p['centres']==8 and p['n']==2*112+R and p['v']==112 and p['h']==9 + K='providers.'+pid+'.';pin(K+'entering',p['entering_helpers']);pin(K+'entrance',p['entrance_rank']) + pin(K+'inventory',p['width_inventory']) + assert all(type(w) is int and 0=0 for n in idle.values()) + idle=+idle;assert sum(idle.values())==owner['explicit_idle_remainder_children'] + pin('expected.idle_remainder_profile',{str(r):n for r,n in sorted(idle.items())}) + paid.update(idle) + assert dict(paid)=={int(r):n for r,n in owner['paid_profile'].items()} + assert invoice['compiler']==64*74**3 + assert invoice['local_adapters']==max(p['local_adapters']for p in invoice['providers'].values()) + assert invoice['local_primitive_bound']==max(p['local_primitive_bound']for p in invoice['providers'].values()) + # Recount the retained dedicated-bank envelope independently. Its geometry + # stays fixed, while every local primitive and wrapper comes from the actual + # selected provider/orientation sums above. + parent_live,parent_physical,parent_idle=23408,23922,32256 + parent_banks,rem=divmod(parent_live-2*112*4*16,9);assert rem==0 and parent_physical==parent_live+504+8+2 # two independent bank groups, each with R0=504 helpers; restored private workspace is shared + assert owner['source_idle_children_charged']==parent_idle + bridges,shifts=2*112*144,4*112*16;moves=2*shifts + nonlocal_items=(4*112*16*9+2*112*16*9+2*144*R+parent_idle+9*parent_banks+bridges+shifts+moves+parent_live+parent_physical+invoice['wrapper_elementary_factors_charged']) + outside=8*nonlocal_items+64*73 + pervertex=(invoice['selected_real_component_primitives']+bridges+shifts+moves+parent_live+(144*invoice['local_adapters']+outside)*invoice['compiler']+64*parent_physical) + rebased=pervertex+65*(invoice['physical']-parent_physical)+(invoice['live']-parent_live) + assert invoice['unhosted_pervertex']==pervertex and invoice['hosted_rebased_pervertex']==rebased + used=max(pervertex,rebased) + prior=invoice['retained_prior_overcharge'] + if prior is not None: + assert hash_ok(prior['sha256']) and type(prior['previous_pervertex_allowance']) is int and prior['previous_pervertex_allowance']>0 + assert prior['added_complete_new_pervertex']==pervertex + assert prior['policy']=='Retain old allowance and add entire fresh mixed recount.' + used=max(used,prior['previous_pervertex_allowance']+pervertex) + assert invoice['conservative_pervertex_used']==used + finite=invoice['finite'] + assert 02*48*48) + assert actual_checks==invoice['strict_checks'] and all(actual_checks.values()) + bit_record=load_bit(BIT_PATH.read_bytes()) + bit=bit_record['nine'] + assert 'nine-stage' in bit['pipeline'] and '32 replicas' in bit['pipeline'] + c=Q(bit['bit_lower']) + bit_D=bit_deficit(bit_record['word'],bit['bit']['live']) + H={int(r):n for r,n in owner['paid_profile'].items()};pin('expected.global_profile',owner['paid_profile']) + # Claimed lower endpoints come from the spec; discovery derives them with the same certified moment engine. + # Either way they are verified below (accepted at b, rejected at b+1e-24). + if DISCOVER:b=Q(M.certify(H,73,owner['live'],False)['lower']);conservative_b=Q(M.certify(H,73,owner['live'],True)['lower']) + else:b=Q(X['complex_lower']);conservative_b=Q(X['conservative_complex_lower']) + assert owner['template_sha256']==invoice['template_sha256'] and owner_sha==invoice['owner_audit_sha256'] + pin('expected.live',owner['live']);pin('expected.physical',owner['physical']);assert owner['deficit']==5120 + assert owner['banked_residuals']==0 + def check_moment(side,h,m,W,lower,deficit,bad): + assert m*W-sum(r*n for r,n in h.items())==deficit and m*m>2*max(h)**2 + rows=[] + for z,accept in [(lower,True),(lower+Q(1,10**24),False)]: + l,u=M.moment(h,m,W,z,bad);ll,uu=B.moment(m,W,list(h.items()),z) + if bad: + fl,fu=B.moment(m,W,[(1,32*m*m*sum(h.values()))],z);ll+=fl/10**16;uu+=fu/10**16 + assert (u<1 and uu<1)if accept else(l>1 and ll>1) + rows.append(dict(side=side,surcharge=bad,endpoint=str(z),accept=accept,mercator=[str(l-1),str(u-1)],base_two=[str(ll-1),str(uu-1)])) + return rows + bitH={int(r):n for r,n in bit['profile'].items()} + assert BIT_M==64 and sum(r*n for r,n in bitH.items())==bit['bit']['rank_mass'] + bit_moments=check_moment('bit',bitH,BIT_M,bit['bit']['live'],c,bit_D,True) + conservative_moments=check_moment('conservative_complex',H,73,owner['live'],conservative_b,5120,True) + assert bit['bit']['two_level_coefficient_bits']0 + ceil=lambda x:-(-x.numerator//x.denominator);cut=max(ceil(36/gap**2),ceil(2*(4+512)/gap));assert cut*gap**2>=36 and cut*gap>=2*(4+512) + cuts.append(dict(exponent=str(a),gap=str(gap),cutoff_log2=str(cut)));chain.append(a) + q=chain[-1]*(1-2*eta);margin=(1-eta)*q/(1+q);ticks=margin*10**18;k=Q((ticks.numerator-1)//ticks.denominator,10**18) + bridge={'semantic':{'C0':{'base':2,'exponent':210000},'strict_literal_gap':1},'rows':{'degree_gap':Q(10**6)-Q(51*20161,25)}} + outer=A.assembly(chain[-1],bb,bridge,k,eta=eta,beta=beta);assert len(outer['strict_constraints'])==47 and all(v>0 for v in outer['strict_constraints'].values()) + controls=[] + for name,kk,ee,be in [('next_grid',k+Q(1,10**18),eta,beta),('zero_eta',k,Q(0),beta),('zero_beta',k,eta,Q(0)),('unit_beta',k,eta,Q(1))]: + try:A.assembly(chain[-1],bb,bridge,kk,eta=ee,beta=be) + except AssertionError:controls.append(name) + else:raise AssertionError(name) + return k,cuts,outer,controls + conservative_k,conservative_cuts,conservative_outer,conservative_controls=outer_witness(conservative_b) + pin('expected.conservative_kappa_decimal',dec(conservative_k)) + # Only after every conservative supplier/admission/outer check succeeds is + # the reviewed native exact-complex recurrence selected. Bit charge stays. + native_moments=check_moment('complex',H,73,owner['live'],b,5120,False) + k,cuts,outer,controls=outer_witness(b) + pin('expected.kappa_decimal',dec(k)) + assert M.moment(H,73,owner['live'],b,True)[0]>1 + assert M.moment(bitH,64,bit['bit']['live'],c+Q(1,10**24),False)[1]<1 + model_controls=['native_complex_endpoint_rejected_with_old_surcharge','omitting_bit_surcharge_would_fail_next_endpoint_rejection'] + moments=bit_moments+native_moments + input_hashes={'owner_audit':owner_sha,'fresh_invoice':invoice_sha,'package:inputs/PR589-EXPECTED.json':sha(BIT_PATH)} + input_hashes.update({'engines/'+name+'.py':sha(P/'engines'/(name+'.py'))for name in ('moment','base_two_moment','outer')}) + return dict(status='PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY',kappa=str(k),kappa_decimal=dec(k),complex_lower=str(b),complex_decimal=dec(b),bit_lower=str(c),bit_decimal=dec(c),binding='complex',gain_over_pr635_percent=dec(100*(k/Q(X['gain_baseline_kappa'])-1)),complex_profile=H,provider_counts=invoice['provider_counts'],surcharge_model={'complex':False,'bit':True},conservative_complex_lower=str(conservative_b),conservative_complex_decimal=dec(conservative_b),conservative_kappa=str(conservative_k),conservative_kappa_decimal=dec(conservative_k),conservative_moments=conservative_moments,conservative_bootstrap=conservative_cuts,conservative_outer={n:str(v)for n,v in conservative_outer['strict_constraints'].items()},conservative_controls=conservative_controls,model_controls=model_controls,native_correction_gain=dec(k-conservative_k),template_sha256=owner['template_sha256'],input_sha256=input_hashes,bit_supplier=dict(pr=589,repository='CrocSwap/integer-mult-bounds',commit='a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46',merged_as='b3eb785ac5b4b1ca2beea0f80db078a505626a90',path='research/e8-bit-p111-tuned/tune/EXPECTED.json',git_blob_sha1=BIT_BLOB,word=dict(v=bit_record['word']['v'],decoder_constant=bit_record['word']['decoder_constant'],copy_ranks=bit_record['word']['copy_ranks']),derived_deficit=bit_D,deficit_formula='T(2Kv-L*cst), L=%d T=%d K=%d M=%d'%(BIT_L,BIT_T,BIT_K,BIT_M),replay_scope='Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit.'),moments=moments,bootstrap=cuts,outer={n:str(v)for n,v in outer['strict_constraints'].items()},controls=controls,scope='Conditional native exact-complex witness after complete conservative admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. The new source-branch gauge and retired-basis completion, the gauge44-barch U8 local word and all 72 cold helper ends, and explicit all144 whole-owner dispatch with a two-copy remainder trade are composed with the cited unchanged merged PR589 bit supplier (PR555 punctured R439 word; derived bit deficit T(2Kv-L*cst)), replacing the PR543 supplier of PR635; This is a new T16 composition of the accepted PR799 and PR589 suppliers. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification.') +if __name__=='__main__': + import sys + package,C,out=map(Path,sys.argv[1:4]);assert package.resolve()==P and not out.exists() + owner_path=C/'audit/OWNERS-AND-PROFILE.json';invoice_path=C/'audit/PREFIX-AND-INVOICE.json' + owner,invoice=read(owner_path),read(invoice_path) + assert owner['template_sha256']==read(C/'hosted/HOSTED.json')['template_sha256'] + r=assemble(owner,invoice,sha(owner_path),sha(invoice_path));out.write_text(json.dumps(r,indent=2)+'\n');print(r['status'],r['kappa_decimal']) diff --git a/research/frontier1094-idle-exchanges/audit_allcold_idle_overlay.py b/research/frontier1094-idle-exchanges/audit_allcold_idle_overlay.py new file mode 100644 index 0000000000..bfb4e1ce5d --- /dev/null +++ b/research/frontier1094-idle-exchanges/audit_allcold_idle_overlay.py @@ -0,0 +1,277 @@ +"""OpenAI Codex independent serialized ASYNCHRONOUS controller/spectator audit. +Imports no emitter, optimizer, expander, edge-coloring, or source hosting code. +CLI: BASE HOSTED REPORT [--mutation-controls] +Each provider is independently read from BASE/providers, never from a baseline width histogram. +OpenAI Codex two-provider width-seven extension; retains all inherited independent controller checks. +The exact 63 width-seven and 9 plain calls are frozen below. +""" +import sys,json,gzip,hashlib,copy,os +assert __debug__, 'Assertions must remain enabled' +from pathlib import Path +from collections import Counter,defaultdict +import sys as _s,pathlib as _p;_s.path.insert(0,os.environ['T16_SOURCE_CODE']) +from witness import * +from generated_identity import artifact_identities +BASE,OUT,REPORT=map(lambda p:Path(p).resolve(),sys.argv[1:4]);read=lambda p:json.loads(gzip.decompress(p.read_bytes())if p.suffix=='.gz'else p.read_bytes()) +parent=read(BASE/'split-centres/GLOBAL-TEMPLATE.json.gz') +ph=read(BASE/'work/complex-nine-native/DATA-PHASES.json') +ct=read(OUT/'GLOBAL-TEMPLATE.json.gz');summary=read(OUT/'HOSTED.json') +sha=lambda p:hashlib.sha256(p.read_bytes()).hexdigest() +overlay=read(OUT/'IDLE-PAIR-OVERLAY.json') if 'idle_axis_overlay' in ct else None +overlay_frames={} +if overlay: + baseline_hosted=Path(os.environ['T16_BASE_HOSTED']).resolve() + assert ct['idle_axis_overlay']['path']=='IDLE-PAIR-OVERLAY.json' + assert ct['idle_axis_overlay']['frame_path']=='IDLE-REMAINDER-FRAMES.json.gz' + assert ct['idle_axis_overlay']['source_template_sha256']==overlay['source_template_sha256'] + assert ct['idle_axis_overlay']['source_frames_sha256']==overlay['source_frames_sha256'] + assert overlay['status']=='PASS_EMITTED_1825_IDLE_48_PAIR_EXCHANGES' + overlay_rows=read(OUT/'IDLE-REMAINDER-FRAMES.json.gz') + overlay_frames={(x['replica'],x['port'],x['child']):x for x in overlay_rows} + assert len(overlay_frames)==len(overlay_rows) + assert overlay['source_template_sha256']==sha(baseline_hosted/'GLOBAL-TEMPLATE.json.gz') + assert overlay['source_frames_sha256']==sha(baseline_hosted/'IDLE-REMAINDER-FRAMES.json.gz') + assert overlay['profile']==summary['global_profile'] + assert summary['idle_pair_overlay_sha256']==sha(OUT/'IDLE-PAIR-OVERLAY.json') +provider_ids=PIDS +providers={};registry={};phase_semantic_hashes={};artifact_semantic_hashes={} +required_artifacts={'work/complex-nine-native/DATA-PHASES.json'} +provider_files=('CANONICAL-WORD.json.gz','LOCAL-PROGRAMS.json.gz','LOCAL-CHECKS.json', + 'INDEPENDENT-LOCAL-REPLAY.json','RESIDUAL-ADAPTERS.json','CLIFFORD-RECIPES.json','CLIFFORD-REVIEW.json') +for pid in provider_ids: + p=BASE/'providers'/pid + c=read(p/'CANONICAL-WORD.json.gz');checks=read(p/'LOCAL-CHECKS.json') + programs=read(p/'LOCAL-PROGRAMS.json.gz');replay=read(p/'INDEPENDENT-LOCAL-REPLAY.json') + phase=read(p/'CLIFFORD-REVIEW.json');adapters=read(p/'RESIDUAL-ADAPTERS.json')['recipes'] + widths=[len(c['frames'][c['final'][2*c['v']+h]])-len(c['frames'][c['start'][2*c['v']+h]])for h in range(c['R'])] # HPE: residual width |final|-|start| + assert tuple(widths[h]for h in SPOT)==spot_widths();pin('providers.%s.inventory'%pid,{str(k):v for k,v in sorted(Counter(widths).items())}) + canonical_sha=sha(p/'CANONICAL-WORD.json.gz');programs_sha=sha(p/'LOCAL-PROGRAMS.json.gz') + assert replay['status']=='PASS_INDEPENDENT_LOCAL_SCALAR_FRAME_AND_WRAPPER_REPLAY' + assert replay['canonical_word_sha256']==canonical_sha and replay['local_programs_sha256']==programs_sha + assert replay['v']==c['v'] and replay['helpers']==c['R'] + assert set(programs)==set(checks)==set(replay['local'])==set(replay['paid_profiles'])=={'forward','backward'} + for orientation,events in programs.items(): + ck=checks[orientation];rr=replay['local'][orientation] + assert hashlib.sha256(json.dumps(events,sort_keys=True,separators=(',',':')).encode()).hexdigest()==ck['sha256'] + assert ck['events']==len(events) and ck['all_columns']==2*c['v']+c['R'] + assert ck['private_centers_cleared'] and ck['private_coefficient_stream_cleared_after_each_macro'] + assert rr['all_exact_columns']==2*c['v']+c['R'] and rr['private_work_erased'] + literal=Counter(e[-1]for e in events if e[0]in('climb','center')) + assert dict(literal)=={int(r):n for r,n in ck['paid_profile'].items()}=={int(r):n for r,n in c['local_profile'].items()} + assert ck['paid_profile']==replay['paid_profiles'][orientation] + assert phase['canonical_word_sha256']==canonical_sha and phase['recipe_sha256']==sha(p/'CLIFFORD-RECIPES.json') + assert phase['all_child_equalities_include_global_phase'] + artifact_semantic_hashes[pid]=artifact_identities(p) + pin('providers.%s.artifact_semantic_sha256'%pid,artifact_semantic_hashes[pid]) + phase_semantic_hashes[pid]=artifact_semantic_hashes[pid]['CLIFFORD-REVIEW.json'] + for h,w in enumerate(widths): + assert 0>i)&1==0);a=q^(1<>i&1 else 0)for i in order]+[1<2*max(paid)**2 + return dict(profile=dict(sorted(paid.items())),mass=mass,hosted=HOSTED,entering=entering,cross_replica=cross,sigma_digest=digest.hexdigest(),sigmas=sigmas,idle_remainders=len(wanted),busy_family_checks=len(roles),invocations=144) + +r=audit(ct);raw=gzip.decompress((OUT/'GLOBAL-TEMPLATE.json.gz').read_bytes());assert hashlib.sha256(raw).hexdigest()==summary['template_sha256'];assert r['profile']=={int(k):v for k,v in summary['global_profile'].items()};assert r['sigmas']==read(OUT/'ACTUAL-SIGMAS.json.gz');assert r['sigma_digest']==summary['sigma_stream_sha256'] +assert all(hashlib.sha256((BASE/name).read_bytes()).hexdigest()==value for name,value in summary['source_artifacts'].items()) +controls=[] +def reject(name,mut): + if '--mutation-controls' not in sys.argv[4:]:return + q=copy.deepcopy(ct);mut(q) + try:audit(q) + except(AssertionError,KeyError,IndexError,ValueError,TypeError):controls.append(name) + else:raise AssertionError('ACCEPTED '+name) +enter=lambda q:next(o for c in q['calls']for o in c['owners'][(2*V):]if o[1][0]==4) +reject('alias two whole owners',lambda q:q['calls'][0]['owners'].__setitem__((2*V+1),q['calls'][0]['owners'][(2*V)])) +reject('helper on active data family',lambda q:q['calls'][0]['owners'][(2*V)].__setitem__(0,q['calls'][0]['owners'][0][0])) +reject('owner in private namespace',lambda q:q['calls'][0]['owners'][(2*V)].__setitem__(0,DATA)) +reject('wrong residual width',lambda q:enter(q)[1].__setitem__(3,enter(q)[1][3]-1)) +reject('wrong spectator coordinate',lambda q:enter(q)[1][4].__setitem__(0,72)) +reject('omit idle remainder',lambda q:q['idle_children'].pop()) +reject('understate physical reserve',lambda q:q.__setitem__('physical',PHYSICAL-1)) +# Single-provider dispatch still has all source/program/width binding controls. +if len(provider_ids)==1: + P=provider_ids[0] + at_p=lambda q:next(c for c in q['calls']if c['provider_id']==P) + narrow=next(h for h in range(R)if providers[P]['widths'][h]<9) + reject(P+': wrong provider at its invocation',lambda q:at_p(q).__setitem__('provider_id','__unregistered__')) + reject(P+': stale per-call local program hash',lambda q:at_p(q).__setitem__('local_program_sha256','0'*64)) + reject(P+': stale serialized provider program',lambda q:q['local_providers'][P]['local_programs']['forward'].pop()) + reject(P+': unbound residual adapter hash',lambda q:q['local_providers'][P].__setitem__('residual_adapter_sha256','0'*64)) + reject(P+': wrong provider width registry',lambda q:q['local_providers'][P]['widths'].__setitem__(narrow,providers[P]['widths'][narrow]-1)) + reject(P+': wrong per-call residual width',lambda q:at_p(q)['owners'][2*V+narrow][1].__setitem__(3,at_p(q)['owners'][2*V+narrow][1][3]-1)) + reject(P+': wrong sweep provider',lambda q:next(e for e in q['execution_schedule']if e['kind']=='local_cover_sweep').__setitem__('provider_id','__unregistered__')) + reject(P+': entering helper width silently restored to nine',lambda q:q['local_providers'][P]['widths'].__setitem__(narrow,9)) +else: + # Per-provider substitution controls: every provider is swapped against a partner provider. + for P in provider_ids: + Qp=partner(P) + at_p=lambda q,P=P:next(c for c in q['calls']if c['provider_id']==P) + diff=[h for h in range(R)if providers[P]['widths'][h]!=providers[Qp]['widths'][h]] + narrow=next(h for h in range(R)if providers[P]['widths'][h]<9) + reject(P+': wrong provider at its invocation',lambda q,P=P,Qp=Qp,at_p=at_p:at_p(q).__setitem__('provider_id',Qp)) + reject(P+': stale per-call local program hash',lambda q,Qp=Qp,at_p=at_p:at_p(q).__setitem__('local_program_sha256',registry[Qp]['local_program_checks'][at_p(q)['orientation']]['sha256'])) + reject(P+': stale serialized provider program',lambda q,P=P,Qp=Qp:q['local_providers'][P].__setitem__('local_programs',registry[Qp]['local_programs'])) + reject(P+': unbound residual adapter hash',lambda q,P=P:q['local_providers'][P].__setitem__('residual_adapter_sha256','0'*64)) + if diff:reject(P+': partner width in provider width registry',lambda q,P=P,Qp=Qp,h=diff[0]:q['local_providers'][P]['widths'].__setitem__(h,providers[Qp]['widths'][h])) + reject(P+': wrong per-call residual width',lambda q,at_p=at_p,h=narrow:at_p(q)['owners'][2*V+h][1].__setitem__(3,at_p(q)['owners'][2*V+h][1][3]-1)) + reject(P+': wrong sweep provider',lambda q,P=P,Qp=Qp:next(e for e in q['execution_schedule']if e['kind']=='local_cover_sweep'and DISPATCH[e['stage'],e['replica']]==P).__setitem__('provider_id',Qp)) + reject(P+': entering helper width silently restored to nine',lambda q,P=P,h=narrow:q['local_providers'][P]['widths'].__setitem__(h,9)) + +report=dict(status='PASS_INDEPENDENT_ASYNC_WHOLE_OWNER_CONTROLLER_PHASES_AND_SPECTATORS',template_sha256=summary['template_sha256'],complex_template_sha256=summary['template_sha256'],complex_live=DATA,complex_profile=r['profile'],complex_hosted_residuals=HOSTED,physical=PHYSICAL,rank_mass=r['mass'],deficit=5120,entering_helper_roles=r['entering'],cross_replica_helper_roles=r['cross_replica'],one_owner_per_complete_invocation=True,helper_busy_family_window_checks=r['busy_family_checks'],complete_invocations=r['invocations'],actual_orthogonal_73column_maps=len(r['sigmas']),actual_sigma_stream_sha256=r['sigma_digest'],all_actual_residual_and_spectator_charts=True,idle_remainders=r['idle_remainders'],mutations_rejected=controls,mutation_controls_run='--mutation-controls' in sys.argv[4:],provider_phase_semantic_sha256=phase_semantic_hashes,provider_artifact_semantic_sha256=artifact_semantic_hashes,widths_by_provider={pid:dict(sorted(Counter(providers[pid]['widths']).items()))for pid in provider_ids},provider_counts=dict(Counter(c['provider_id']for c in ct['calls'])),all_provider_program_phase_and_wrapper_bindings=True,scope='Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. Uses per-invocation local providers bound by exact scalar, phase and residual-wrapper receipts; all-size compilation and complete coefficient invoice are separate inherited obligations.') +REPORT.parent.mkdir(parents=True,exist_ok=True) +REPORT.write_text(json.dumps(report,indent=2)+'\n');print(json.dumps(report,indent=2)) + +owners=dict(status='PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE',template_sha256=summary['template_sha256'],paid_profile=r['profile'],live=DATA,physical=PHYSICAL,rank_mass=r['mass'],deficit=5120,hosted_residuals=HOSTED,banked_residuals=0,all_live_owners_per_call_distinct=True,owners_per_call=N,actual_helper_owner_charts=HOSTED,actual_73column_sigmas=len(r['sigmas']),cross_replica_helper_roles=r['cross_replica'],explicit_idle_remainder_children=r['idle_remainders'],source_idle_children_charged=sum(x['replicas']for x in parent['idle_children']),source_artifacts=summary['source_artifacts'],provider_phase_semantic_sha256=phase_semantic_hashes,provider_artifact_semantic_sha256=artifact_semantic_hashes,controller_audit_sha256=hashlib.sha256(REPORT.read_bytes()).hexdigest()) +(REPORT.parent/'OWNERS-AND-PROFILE.json').write_text(json.dumps(owners,indent=2)+'\n') + +# Literal residual frames are a compact export of the already checked offsets, +# not another global replay. Every row names its actual inherited axes. +frames=[] +for z in ct['idle_children']: + frame=overlay_frames.get((z['replica'],z['port'],z['child'])) + if frame: + assert frame['rank']==z['rank'] and frame['hosted']==z['hosted'] and frame['pending_offset']==z['pending_offset'] + tail=list(map(int,frame['orthogonal_axes'])) + else: + axes=list(map(int,ph['recipes'][z['port']]['idle_children'][z['child']]['orthogonal_axes'])) + tail=axes[z['pending_offset']:] + assert len(tail)==z['rank'] + frames.append(dict(z,orthogonal_axes=tail)) +frame_raw=json.dumps(frames,sort_keys=True,separators=(',',':')).encode() +portable=bytearray(gzip.compress(frame_raw,mtime=0));portable[9]=255 +(OUT/'IDLE-REMAINDER-FRAMES.json.gz').write_bytes(bytes(portable)) +frame_receipt=dict(status='PASS_LITERAL_IDLE_REMAINDER_FRAMES',template_sha256=summary['template_sha256'], + uncompressed_frames_sha256=hashlib.sha256(frame_raw).hexdigest(),children=len(frames), + rank_profile=dict(sorted(Counter(z['rank']for z in frames).items())), + source_data_phase_sha256=hashlib.sha256((BASE/'work/complex-nine-native/DATA-PHASES.json').read_bytes()).hexdigest(), + scope='Actual orthogonal axes after the independently checked whole-owner prefix in each inherited pending child.') +(REPORT.parent/'IDLE-REMAINDER-FRAMES.json').write_text(json.dumps(frame_receipt,indent=2)+'\n') diff --git a/research/frontier1094-idle-exchanges/build_candidate.py b/research/frontier1094-idle-exchanges/build_candidate.py new file mode 100644 index 0000000000..43376c3974 --- /dev/null +++ b/research/frontier1094-idle-exchanges/build_candidate.py @@ -0,0 +1,157 @@ +#!/usr/bin/env python3 +"""Build and price pairwise idle 48+48 -> 45+51 exchanges on #1094.""" +import argparse, gzip, hashlib, json +from collections import Counter, defaultdict +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[2] +from math_support import read, dot, rank, price, load_engine + +OWNER_MAP = ROOT / 'research/complex-t16-rare-pattern-exchanges/OWNERS.json.gz' +BASELINE_ASSEMBLY = ROOT / 'research/community-frontier1094-audit/ASSEMBLY.json' +OUT = Path(__file__).resolve().parent + + +def sha(path): + return hashlib.sha256(Path(path).read_bytes()).hexdigest() + + +def canonical(obj): + return json.dumps(obj, sort_keys=True, separators=(',', ':')).encode() + + +def portable_gzip(raw): + data = bytearray(gzip.compress(raw, mtime=0)); data[9] = 255 + return bytes(data) + + +def main(): + parser=argparse.ArgumentParser(description=__doc__) + parser.add_argument('--replay-root',type=Path,required=True, + help='Extracted candidate/strict/global directory from selected-replay.tar.gz') + parser.add_argument('--baseline-hosted-root',type=Path, + help='Freshly emitted/audited baseline hosted directory; defaults to replay-root/hosted') + args=parser.parse_args() + replay=args.replay_root.resolve() + base, audit = replay / 'base', replay / 'audit' + hosted=(args.baseline_hosted_root or replay/'hosted').resolve() + frame_path = hosted / 'IDLE-REMAINDER-FRAMES.json.gz' + template_path = hosted / 'GLOBAL-TEMPLATE.json.gz' + phases_path = base / 'work/complex-nine-native/DATA-PHASES.json' + frames, template = read(frame_path), read(template_path) + phases = read(phases_path) + owners = read(OWNER_MAP) + audit_owner = read(audit / 'OWNERS-AND-PROFILE.json') + baseline = json.loads(BASELINE_ASSEMBLY.read_text()) + recipes = {x['port']: x for x in phases['recipes']} + owner_slots = {(x['owner_replica'], x['port'], x['child']) for x in owners} + grouped = defaultdict(list) + for row in frames: + if (row['rank'] == 48 and row['hosted'] == 0 and row['pending_offset'] == 0 + and (row['replica'], row['port'], row['child']) not in owner_slots): + grouped[row['replica'], row['port']].append(row) + + selected = [] + for (replica, port), rows in sorted(grouped.items()): + recipe = recipes[port] + ys = [int(s[k]) for s in recipe['stage_alignment'] + for k in ('entry_Y', 'exit_Y')] + [int(recipe['terminal_Y_translation'])] + xs = [int(s[k]) for s in recipe['stage_alignment'] + for k in ('entry_X', 'exit_X')] + used = set() + for i, left in enumerate(rows): + if i in used: + continue + left_axes = list(map(int, left['orthogonal_axes'])) + for j in range(i + 1, len(rows)): + if j in used: + continue + right = rows[j] + right_axes = list(map(int, right['orthogonal_axes'])) + translations = [int(recipe['idle_children'][c]['translation_after']) + for c in (left['child'], right['child'])] + movable = [v for v in left_axes if all( + dot(v, x) == 0 + for x in right_axes + ys + xs + translations)] + if len(movable) < 3: + continue + moved = movable[:3] + new_left, new_right = [v for v in left_axes if v not in moved], right_axes + moved + if rank(new_left) != 45 or rank(new_right) != 51: + continue + selected.append(dict(replica=replica, port=port, + left_child=left['child'], right_child=right['child'], + left_family=left['family'], right_family=right['family'], + old_axes_left=left_axes, old_axes_right=right_axes, + moved_axes=moved, new_axes_left=new_left, new_axes_right=new_right, + translation_after=translations, + stage_X_commutes=True, stage_Y_commutes=True, + owner_slots_empty=True, pair_Z4_polynomial_unchanged=True)) + used.update((i, j)); break + + assert len(selected) == 1825, len(selected) + edits = {(x['replica'], x['port'], x['left_child']): (45, x['new_axes_left']) for x in selected} + edits.update({(x['replica'], x['port'], x['right_child']): (51, x['new_axes_right']) for x in selected}) + new_frames = [] + for row in frames: + out = dict(row) + new = edits.get((row['replica'], row['port'], row['child'])) + if new: + out['rank'], out['orthogonal_axes'] = new + new_frames.append(out) + + profile = Counter({int(k): v for k, v in audit_owner['paid_profile'].items()}) + profile[48] -= 2 * len(selected); profile[45] += len(selected); profile[51] += len(selected) + profile = +profile + assert sum(r*n for r,n in profile.items()) == audit_owner['rank_mass'] + assert 73**2 > 2*51**2 + assert len(edits) == 3650 + + current = baseline + native = price(profile, False, current, load_engine('moment'), + load_engine('base_two_moment'), load_engine('outer')) + conservative = price(profile, True, current, load_engine('moment'), + load_engine('base_two_moment'), load_engine('outer')) + assert native['kappa_decimal'] > baseline['kappa_decimal'] + overlay = dict(status='PASS_EMITTED_1825_IDLE_48_PAIR_EXCHANGES', + source_template_sha256=sha(template_path), source_frames_sha256=sha(frame_path), + source_phases_sha256=sha(phases_path), source_owner_map_sha256=sha(OWNER_MAP), + source_audit_sha256=sha(audit / 'OWNERS-AND-PROFILE.json'), pairs=selected, + changed_children=3650, profile={str(k): v for k,v in sorted(profile.items())}, + scope='Replica-local residual pair repartitions; preserves each pair axis union. See OVERLAY-AUDIT.json and replay/ for the independent controller, invoice and assembly receipts.') + overlay_path = OUT / 'IDLE-PAIR-OVERLAY.json' + overlay_path.write_text(json.dumps(overlay, indent=2)+'\n') + template['version'] += '+idle-48-pair-exchanges-v1' + template['idle_axis_overlay'] = dict(schema='replica-local-idle-axes/1', + path='IDLE-PAIR-OVERLAY.json', frame_path='IDLE-REMAINDER-FRAMES.json.gz', + pairs=len(selected), changed_children=3650, + source_template_sha256=sha(template_path), source_frames_sha256=sha(frame_path)) + for child in template['idle_children']: + edit = edits.get((child['replica'], child['port'], child['child'])) + if edit: + child['rank'] = edit[0] + template_raw, frames_raw = canonical(template), canonical(new_frames) + (OUT/'GLOBAL-TEMPLATE.json.gz').write_bytes(portable_gzip(template_raw)) + (OUT/'IDLE-REMAINDER-FRAMES.json.gz').write_bytes(portable_gzip(frames_raw)) + if (hosted/'ACTUAL-SIGMAS.json.gz').is_file(): + (OUT/'ACTUAL-SIGMAS.json.gz').write_bytes((hosted/'ACTUAL-SIGMAS.json.gz').read_bytes()) + hosted_data = read(hosted/'HOSTED.json') + hosted_data.update(status='CANDIDATE_1825_IDLE_PAIR_EXCHANGES', + template_sha256=hashlib.sha256(template_raw).hexdigest(), + global_profile=overlay['profile'], rank_mass=sum(int(k)*v for k,v in overlay['profile'].items()), + maxchild=51, idle_remainder_frames_sha256=hashlib.sha256(frames_raw).hexdigest(), + idle_pair_overlay_sha256=sha(overlay_path)) + (OUT/'HOSTED.json').write_text(json.dumps(hosted_data,indent=2)+'\n') + result = dict(status='PASS_FRONTIER1094_IDLE_PAIR_PRICE_CANDIDATE', + baseline_kappa=baseline['kappa_decimal'], native=native, conservative=conservative, + selected_pairs=len(selected), changed_children=3650, profile=overlay['profile'], + profile_delta={'45': len(selected), '48': -2*len(selected), '51': len(selected)}, + source_sha256=dict(template=sha(template_path), frames=sha(frame_path), phases=sha(phases_path), + owners=sha(OWNER_MAP), baseline_assembly=sha(BASELINE_ASSEMBLY)), + scope='Exact phase/profile/price lead; see replay/ADMISSION-RECEIPT.json for the fresh controller, invoice and strict assembly admission.') + (OUT/'CANDIDATE.json').write_text(json.dumps(result,indent=2)+'\n') + print(result['status'], 'pairs='+str(len(selected)), 'kappa='+native['kappa_decimal']) + + +if __name__ == '__main__': + main() diff --git a/research/frontier1094-idle-exchanges/math_support.py b/research/frontier1094-idle-exchanges/math_support.py new file mode 100644 index 0000000000..5e2a7da315 --- /dev/null +++ b/research/frontier1094-idle-exchanges/math_support.py @@ -0,0 +1,114 @@ +"""Exact local helpers and pinned pricing engine loader for this candidate.""" +import gzip +import hashlib +import importlib.util +import json +from decimal import Decimal, localcontext +from fractions import Fraction as Q +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[2] +ENGINE_ROOT = ROOT / 'research/complex-k492-owner-repair/vendor/multicold/engines' +ENGINE_SHA256 = { + 'moment': '81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482', + 'base_two_moment': 'aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098', + 'outer': 'c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c', +} + + +def read(path): + raw = Path(path).read_bytes() + if str(path).endswith('.gz'): + raw = gzip.decompress(raw) + return json.loads(raw) + + +def dot(a, b): + return (int(a) & int(b)).bit_count() & 1 + + +def rank(vectors): + pivots = {} + for x in map(int, vectors): + while x: + bit = x.bit_length() - 1 + if bit in pivots: + x ^= pivots[bit] + else: + pivots[bit] = x + break + return len(pivots) + + +def load_engine(name): + path = ENGINE_ROOT / (name + '.py') + digest = hashlib.sha256(path.read_bytes()).hexdigest() + assert digest == ENGINE_SHA256[name], (name, digest) + spec = importlib.util.spec_from_file_location('frontier1094_' + name, path) + module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def decimal(q): + with localcontext() as ctx: + ctx.prec = 60 + return str(Decimal(q.numerator) / Decimal(q.denominator)) + + +def price(profile, bad, current, moment, base_two, outer): + M, W, deficit = 73, 14336, 5120 + assert M * W - sum(r * n for r, n in profile.items()) == deficit + assert M * M > 2 * max(profile) ** 2 + certified = moment.certify(profile, M, W, bad) + endpoint = Q(certified['lower']) + rows = [] + for z, accept in ((endpoint, True), (endpoint + Q(1, 10**24), False)): + lo, hi = moment.moment(profile, M, W, z, bad) + blo, bhi = base_two.moment(M, W, list(profile.items()), z) + if bad: + slo, shi = base_two.moment(M, W, [(1, 32 * M * M * sum(profile.values()))], z) + blo += slo / 10**16 + bhi += shi / 10**16 + assert (hi < 1 and bhi < 1) if accept else (lo > 1 and blo > 1) + rows.append(dict(endpoint=str(z), accept=accept, + mercator=[str(lo - 1), str(hi - 1)], + base_two=[str(blo - 1), str(bhi - 1)])) + + bit = Q(current['bit_lower']) + eta = beta = Q(1, 10**24) + s = min(bit, (1 - beta) * endpoint) - Q(1, 10**27) + chain = [Q(384599, 10**10)] + cutoffs = [] + ceil = lambda x: -(-x.numerator // x.denominator) + for _ in range(7): + 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 + 512) / gap)) + assert cutoff * gap**2 >= 36 and cutoff * gap >= 2 * (4 + 512) + cutoffs.append(str(cutoff)) + chain.append(a) + q = chain[-1] * (1 - 2 * eta) + ticks = (1 - eta) * q / (1 + q) * 10**18 + kappa = Q((ticks.numerator - 1) // ticks.denominator, 10**18) + bridge = {'semantic': {'C0': {'base': 2, 'exponent': 210000}, + 'strict_literal_gap': 1}, + 'rows': {'degree_gap': Q(10**6) - Q(51 * 20161, 25)}} + assembled = outer.assembly(chain[-1], endpoint, bridge, kappa, + eta=eta, beta=beta) + assert len(assembled['strict_constraints']) == 47 + assert all(x > 0 for x in assembled['strict_constraints'].values()) + try: + outer.assembly(chain[-1], endpoint, bridge, kappa + Q(1, 10**18), + eta=eta, beta=beta) + except AssertionError: + pass + else: + raise AssertionError('next kappa grid point accepted') + return dict(endpoint=str(endpoint), endpoint_decimal=decimal(endpoint), + moments=rows, kappa=str(kappa), kappa_decimal=decimal(kappa), + cutoffs=cutoffs, + strict_outer_constraints={k: str(v) for k, v in assembled['strict_constraints'].items()}, + next_grid_rejected=True, binding='complex') diff --git a/research/frontier1094-idle-exchanges/replay/ADMISSION-RECEIPT.json b/research/frontier1094-idle-exchanges/replay/ADMISSION-RECEIPT.json new file mode 100644 index 0000000000..5b16e010b9 --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/ADMISSION-RECEIPT.json @@ -0,0 +1,21 @@ +{ + "status": "PASS_CANDIDATE_FRESH_CONTROLLER_INVOICE_AND_STRICT_ASSEMBLY", + "baseline_result": "research/community-frontier1094-audit/ASSEMBLY.json", + "candidate_kappa": "0.001672846574134982", + "baseline_kappa": "0.001672660197076918", + "candidate_template_sha256": "dce77bd7ccffef70175526fd6a6f380a444410e1beae51bc8b76548dea45e9ae", + "invoice_sha256": "d0f2e543bac6ba392a0e651aebcd20c9e26ba9bf1cbae92e90170bd2bdbcfffe", + "assembly_sha256": "1491257e60fd81f453c5bb5e1f6ddb5441e819abf6aca8319baf5b2f0d8360b8", + "overlay_audit_sha256": "18dae2a0257d3c1746a515d5cef04d44a9179b9338b1bd9d8d31e716cfa04369", + "method": "Fresh baseline hosted emission reproduced the archived #1094 template, idle frames, sigma maps, and hosted record byte-for-byte. The independent serialized controller/owner auditor replayed the candidate axes, all calls, routes, charts, profile and 15 mutation controls in strict pin mode. The unmodified official mixed-provider invoice passed using the retained prior invoice; the candidate strict assembler passed with changed profile/endpoints and rank-51 halving guard. All 69 assembly and 12 bit-supplier negative controls rejected their mutations.", + "scope": "Independent finite candidate replay; all-size compiler, common-label/mutable-source realization, precision/tape, exact recovery, analytic transfer and Lean obligations remain inherited conditional assumptions.", + "controller_audit_sha256": "379ba532252ebac05b9c89a877dff1caee7254d07a0c42c42383088aa22c4e42", + "owner_audit_sha256": "b4ed35252c0ac0cdc1fd6d170276c963148a072389b4de82895535b3eafdb8bd", + "assembly_controls_sha256": "012ad4cebc8650318016f8b5f36222be68430d211f5df419000ad5cecba3b932", + "bit_controls_sha256": "5d2804891a732b8cef194e1097ddecbb713cb9c65238cb2100ec25d3ce294d20", + "controller_mutations_rejected": 15, + "controller_mutation_controls_run": true, + "baseline_emitter_receipt_sha256": "be87d0da6e921f20cbb1942e23e8242d3288babb045b3a33beb481a77361a00b", + "controller_auditor_source_sha256": "575b37cbd627529d68d29c52a0cb889d9033fceab18ededf1fc7cbdcf5a25406", + "candidate_assembler_source_sha256": "430f23bc37ed97615b17193c36a082bc9b17711affe7919ce1a41cdf6a8cafb2" +} diff --git a/research/frontier1094-idle-exchanges/replay/ASSEMBLY-CONTROLS.json b/research/frontier1094-idle-exchanges/replay/ASSEMBLY-CONTROLS.json new file mode 100644 index 0000000000..4647d68a00 --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/ASSEMBLY-CONTROLS.json @@ -0,0 +1,102 @@ +{ + "status": "PASS_EXACT_MIXED_048_ALLCOLD_NATIVE_ASSEMBLY_ADMISSION_NEGATIVE_CONTROLS", + "valid_receipt_kappa": "836423287067491/500000000000000000", + "input_sha256": { + "owner_audit": "b4ed35252c0ac0cdc1fd6d170276c963148a072389b4de82895535b3eafdb8bd", + "fresh_invoice": "d0f2e543bac6ba392a0e651aebcd20c9e26ba9bf1cbae92e90170bd2bdbcfffe", + "package:inputs/PR589-EXPECTED.json": "b9f0e5ca038abe837b0007c8fe006f366a6f02009244ac57705a8a200e2301f4", + "engines/moment.py": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482", + "engines/base_two_moment.py": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098", + "engines/outer.py": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c" + }, + "assembler_sha256": "430f23bc37ed97615b17193c36a082bc9b17711affe7919ce1a41cdf6a8cafb2", + "rejected_controls": [ + "empty_certification_maps", + "failed_invoice_status", + "nonboolean_precision_check", + "wrong_owner_role_count", + "understated_physical_stock", + "changed_profile_same_rank_mass", + "insufficient_finite_C0", + "missing_finite_check", + "wrong_reflected_orientation_selfconsistent_totals", + "missing_selected_call", + "wrong_selected_primitive_sum", + "wrong_selected_coefficient_work_sum", + "unpaid_wrapper_factors", + "wrong_global_compiler", + "wrong_global_adapter_maximum", + "understated_exact_prefix_and_global_sum", + "wrong_global_prefix_sum", + "wrong_row_prefix_reserve", + "wrong_parent_geometry_charge", + "wrong_rebased_geometry_charge", + "wrong_complete_pervertex_envelope", + "wrong_prior_added_complete_invoice", + "wrong_finite_router_bits", + "wrong_finite_literal_bits", + "wrong_finite_physical_stock_bits", + "wrong_finite_row_coefficient", + "reordered_complete_calls", + "understated_explicit_idle_remainders", + "understated_actual_chart_types", + "wrong_cross_replica_role_count", + "old_no_cold_wrapper_counts_selfconsistent", + "gauge44:missing_provider", + "gauge44:missing_backward_orientation", + "gauge44:unpaid_scalar_primitive", + "gauge44:wrong_local_artifact_binding", + "gauge44:false_dirty_restoration", + "gauge44:wrong_declared_provider_count", + "gauge44:wrong_local_compiler", + "gauge44:wrong_local_adapter_charge", + "gauge44:wrong_local_primitive_bound", + "gauge44:forged_provider_and_call_program_hash", + "gauge44:provider_at_wrong_call", + "gauge44:synchronized_forged_source_recipe_hash", + "gauge44:synchronized_forged_phase_review_semantics", + "gauge44:width_order_swap_4_5", + "gauge44:width_inventory_shift_4_5", + "gauge44:width_order_swap_4_7", + "gauge44:width_inventory_shift_4_7", + "gauge44:width_order_swap_4_8", + "gauge44:width_inventory_shift_4_8", + "gauge44:width_order_swap_4_9", + "gauge44:width_inventory_shift_4_9", + "gauge44:width_order_swap_5_7", + "gauge44:width_inventory_shift_5_7", + "gauge44:width_order_swap_5_8", + "gauge44:width_inventory_shift_5_8", + "gauge44:width_order_swap_5_9", + "gauge44:width_inventory_shift_5_9", + "gauge44:width_order_swap_7_8", + "gauge44:width_inventory_shift_7_8", + "gauge44:width_order_swap_7_9", + "gauge44:width_inventory_shift_7_9", + "gauge44:width_order_swap_8_9", + "gauge44:width_inventory_shift_8_9", + "gauge44:cold_helper_width_swap_258", + "gauge44:cold_helper_width_swap_270", + "gauge44:cold_helper_width_swap_282", + "gauge44:cold_helper_width_swap_294", + "wrong_owner_receipt_hash" + ], + "discovery_accepted_controls": [], + "exact_outer_controls": [ + "next_grid", + "zero_eta", + "zero_beta", + "unit_beta" + ], + "conservative_outer_controls": [ + "next_grid", + "zero_eta", + "zero_beta", + "unit_beta" + ], + "recurrence_model_controls": [ + "native_complex_endpoint_rejected_with_old_surcharge", + "omitting_bit_surcharge_would_fail_next_endpoint_rejection" + ], + "scope": "Complete receipt schema; ordered widths and both reflected providers; exact program, work and paid-profile binding; independently recounted compiler, conservative envelope and finite inequalities. Does not replace fresh physical replay." +} diff --git a/research/frontier1094-idle-exchanges/replay/ASSEMBLY.json b/research/frontier1094-idle-exchanges/replay/ASSEMBLY.json new file mode 100644 index 0000000000..d90a5da5d9 --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/ASSEMBLY.json @@ -0,0 +1,347 @@ +{ + "status": "PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY", + "kappa": "836423287067491/500000000000000000", + "kappa_decimal": "0.001672846574134982", + "complex_lower": "104728104934992539263/62500000000000000000000", + "complex_decimal": "0.001675649678959880628208", + "bit_lower": "1733427039589844234749/1000000000000000000000000", + "bit_decimal": "0.001733427039589844234749", + "binding": "complex", + "gain_over_pr635_percent": "2.237143632118360048961111571328737996375372075191724427679329678962083", + "complex_profile": { + "1": 349604, + "2": 60192, + "3": 62585, + "4": 20448, + "5": 11808, + "7": 7, + "8": 1152, + "45": 1825, + "48": 1216, + "51": 1825 + }, + 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admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. The new source-branch gauge and retired-basis completion, the gauge44-barch U8 local word and all 72 cold helper ends, and explicit all144 whole-owner dispatch with a two-copy remainder trade are composed with the cited unchanged merged PR589 bit supplier (PR555 punctured R439 word; derived bit deficit T(2Kv-L*cst)), replacing the PR543 supplier of PR635; This is a new T16 composition of the accepted PR799 and PR589 suppliers. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification." +} diff --git a/research/frontier1094-idle-exchanges/replay/BASELINE-ASSEMBLY.json b/research/frontier1094-idle-exchanges/replay/BASELINE-ASSEMBLY.json new file mode 100644 index 0000000000..5fd676df06 --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/BASELINE-ASSEMBLY.json @@ -0,0 +1,345 @@ +{ + "status": "PASS_GAUGE44_NATIVE_EXACT_GLOBAL_ASSEMBLY", + "kappa": "836330098538459/500000000000000000", + "kappa_decimal": "0.001672660197076918", + "complex_lower": "67018507072324140917/40000000000000000000000", + "complex_decimal": "0.001675462676808103522925", + "bit_lower": "1733427039589844234749/1000000000000000000000000", + "bit_decimal": "0.001733427039589844234749", + "binding": "complex", + "gain_over_pr635_percent": "2.225753072846734155686237293080565286991751430561837568524869952894006", + "complex_profile": { + "1": 349604, + "2": 60192, + "3": 62585, + "4": 20448, + "5": 11808, + "7": 7, + "8": 1152, + "48": 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admission, moment and outer checks; PR559 exact-cover recurrence correction only, bit bad-residue surcharge and H1-H5 retained. The new source-branch gauge and retired-basis completion, the gauge44-barch U8 local word and all 72 cold helper ends, and explicit all144 whole-owner dispatch with a two-copy remainder trade are composed with the cited unchanged merged PR589 bit supplier (PR555 punctured R439 word; derived bit deficit T(2Kv-L*cst)), replacing the PR543 supplier of PR635; This is a new T16 composition of the accepted PR799 and PR589 suppliers. All-size compiler, common-label/mutable-source realization, whole-call hosting, precision/tape and analytic transfer remain assumptions. No unconditional theorem or full Lean certification." +} diff --git a/research/frontier1094-idle-exchanges/replay/BIT-SUPPLIER-CONTROLS.json b/research/frontier1094-idle-exchanges/replay/BIT-SUPPLIER-CONTROLS.json new file mode 100644 index 0000000000..2383942aad --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/BIT-SUPPLIER-CONTROLS.json @@ -0,0 +1,49 @@ +{ + "status": "PASS_PR589_BIT_SUPPLIER_DERIVED_DEFICIT_NEGATIVE_CONTROLS", + "kappa": "0.001672846574134982", + "bit_lower": "1733427039589844234749/1000000000000000000000000", + "bit_decimal": "0.001733427039589844234749", + "binding": "complex", + "bit_supplier": { + "pr": 589, + "repository": "CrocSwap/integer-mult-bounds", + "commit": "a5afc8c6169ea61ba7c51dfd3cade02cc7b13b46", + "merged_as": "b3eb785ac5b4b1ca2beea0f80db078a505626a90", + "path": "research/e8-bit-p111-tuned/tune/EXPECTED.json", + "git_blob_sha1": "e293ddc557742637f9f679f083a1a282d87b1b13", + "word": { + "v": 111, + "decoder_constant": 63, + "copy_ranks": [ + 7, + 7, + 7, + 7, + 7, + 7, + 7, + 7, + 7 + ] + }, + "derived_deficit": 10272, + "deficit_formula": "T(2Kv-L*cst), L=9 T=32 K=4 M=64", + "replay_scope": "Cited unchanged supplier; this assembly reprices its full profile and does not rebuild its bit circuit." + }, + "derived_deficit": 10272, + "rejected_controls": [ + "revert_hardcoded_9984", + "ports_112", + "decoder_constant_64_copy_ranks_unchanged", + "decoder_constant_64_with_one_copy_rank_8", + "eight_retained_totals", + "live_minus_one", + "profile_rank_mass_plus_one", + "profile_rank_mass_receipt_mismatch", + "bit_lower_next_grid", + "not_nine_stage_record", + "tampered_bytes_next_grid", + "pr543_file_under_pr589_pin" + ], + "assembler_sha256": "430f23bc37ed97615b17193c36a082bc9b17711affe7919ce1a41cdf6a8cafb2" +} diff --git a/research/frontier1094-idle-exchanges/replay/INTEGRATION-METHOD.md b/research/frontier1094-idle-exchanges/replay/INTEGRATION-METHOD.md new file mode 100644 index 0000000000..30748c7792 --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/INTEGRATION-METHOD.md @@ -0,0 +1,49 @@ +# Candidate audit and admission method + +`BASE-EMITTER-REPLAY.json` binds a fresh #1094 hosted emission to the archived +template, idle frames, sigma maps and summary. The candidate builder applies +the disjoint pair exchange to those byte-identical baseline artifacts. + +[`audit_allcold_idle_overlay.py`](../audit_allcold_idle_overlay.py) is the +independent serialized controller/owner auditor from the retained T16 source, +adapted to consume the explicit overlay frame file. It independently checks +the call schedule, all 69,120 owner charts and windows, candidate profile, +provider bindings, and the 15 existing controller mutations. It runs in strict +pin mode using `SPEC-candidate.json`; `WITNESS_DISCOVER` is unset. The separate +[`verify_overlay.py`](../verify_overlay.py) checks every changed pair's axes, +phase polynomial, owner slots, translations, and maximum matching size. + +After building the overlay, copy +[`SPEC-candidate.json`](SPEC-candidate.json) to `/tmp/rarepkg/data/SPEC.json` +and rerun the independent controller audit in strict pin mode: + +```sh +cp research/frontier1094-idle-exchanges/replay/SPEC-candidate.json \ + /tmp/rarepkg/data/SPEC.json +T16_SOURCE_CODE=/tmp/rarepkg/code \ +T16_BASE_HOSTED=/tmp/frontier1094/baseline-hosted \ +WITNESS_SPEC=/tmp/rarepkg/data/SPEC.json \ +python3 -B research/frontier1094-idle-exchanges/audit_allcold_idle_overlay.py \ + /tmp/frontier1094/candidate/strict/global/base \ + research/frontier1094-idle-exchanges \ + research/frontier1094-idle-exchanges/replay/audit/ASYNC-AUDIT.json \ + --mutation-controls +``` + +The full mixed-provider invoice uses the package's unmodified +`invoice_allcold.py` and retains the previous invoice from the archived T16 +source package. The strict assembler is the package assembler with its fixed +rank-48 guard generalized to the candidate's exact rank-51 guard +`[5329, 5202]`. The resulting assembly is pinned by +[`SPEC-candidate.json`](SPEC-candidate.json). The 69 assembly negative controls +and 12 PR589 bit-supplier controls also pass. + +`assemble_candidate.py` is the strict assembler copy used for the final run; +its only algorithmic change is deriving the halving vector from the candidate +maximum rank. Its source package argument provides the three exact moment +engines; the PR589 bit input remains pinned to the retained package. + +The source-level patch is limited to understanding the explicit idle-axis +overlay in the independent auditor and comparing the halving guard against the +candidate maximum rank. 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"gain_baseline_kappa": "0.001636241501576388", + "hosted_residuals": 69120, + "rank_mass": 1041408, + "actual_73column_sigmas": 10002, + "cross_replica_helper_roles": 57480, + "idle_remainders": 7526, + "idle_remainder_profile": { + "1": 2276, + "3": 377, + "7": 7, + "45": 1825, + "48": 1216, + "51": 1825 + }, + "global_profile": { + "1": 349604, + "2": 60192, + "3": 62585, + "4": 20448, + "5": 11808, + "7": 7, + "8": 1152, + "45": 1825, + "48": 1216, + "51": 1825 + }, + "live": 14336, + "physical": 14826, + "conservative_kappa_decimal": "0.001672846571282754", + "kappa_decimal": "0.001672846574134982", + "complex_lower": "104728104934992539263/62500000000000000000000", + "conservative_complex_lower": "1675649676098086086493/1000000000000000000000000", + "kappa": "1672188119205421/1000000000000000000", + "assembly_controls_rejected": 69, + "provider_counts": { + "gauge44": 144 + }, + "mutations_rejected": 15 + }, + "pivot_swap": { + "recipe": "construction/leaver/PIVOT-SWAP-k8.json", + "sha256": "3ef7acf0cf67442a532f25b53d5fbeda76d3a84524118df8e003ca69b5cac0bb" + } +} diff --git a/research/frontier1094-idle-exchanges/replay/audit/ASYNC-AUDIT.json b/research/frontier1094-idle-exchanges/replay/audit/ASYNC-AUDIT.json new file mode 100644 index 0000000000..e4bcf2dc7a --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/audit/ASYNC-AUDIT.json @@ -0,0 +1,77 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_WHOLE_OWNER_CONTROLLER_PHASES_AND_SPECTATORS", + "template_sha256": "dce77bd7ccffef70175526fd6a6f380a444410e1beae51bc8b76548dea45e9ae", + "complex_template_sha256": "dce77bd7ccffef70175526fd6a6f380a444410e1beae51bc8b76548dea45e9ae", + "complex_live": 14336, + "complex_profile": { + "1": 349604, + "2": 60192, + "3": 62585, + "4": 20448, + "5": 11808, + "7": 7, + "8": 1152, + "45": 1825, + "48": 1216, + "51": 1825 + }, + "complex_hosted_residuals": 69120, + "physical": 14826, + "rank_mass": 1041408, + "deficit": 5120, + "entering_helper_roles": 34560, + "cross_replica_helper_roles": 57480, + "one_owner_per_complete_invocation": true, + "helper_busy_family_window_checks": 69120, + "complete_invocations": 144, + "actual_orthogonal_73column_maps": 10002, + "actual_sigma_stream_sha256": "e9d95a4a108476a0971d19c8815e1cb747e3b28214b44c92500fdd9647f9bf6d", + "all_actual_residual_and_spectator_charts": true, + "idle_remainders": 7526, + "mutations_rejected": [ + "alias two whole owners", + "helper on active data family", + "owner in private namespace", + "wrong residual width", + "wrong spectator coordinate", + "omit idle remainder", + "understate physical reserve", + "gauge44: wrong provider at its invocation", + "gauge44: stale per-call local program hash", + "gauge44: stale serialized provider program", + "gauge44: unbound residual adapter hash", + "gauge44: wrong provider width registry", + "gauge44: wrong per-call residual width", + "gauge44: wrong sweep provider", + "gauge44: entering helper width silently restored to nine" + ], + "mutation_controls_run": true, + "provider_phase_semantic_sha256": { + "gauge44": "4960fd1215509b5347ef7f0092868f79aea0f8e24fb84352da9a1033e4394007" + }, + "provider_artifact_semantic_sha256": { + "gauge44": { + "CANONICAL-WORD.json.gz": "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c", + "LOCAL-PROGRAMS.json.gz": "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3", + "LOCAL-CHECKS.json": "18f09b79835aa352f04d27041d86d1338c5ad0094b888588c1c05af2dc399ffd", + "INDEPENDENT-LOCAL-REPLAY.json": "2d4680965c62db1fde1236c4857b19bf7bc97af58805e6b4109afbc452f0fdd8", + "CLIFFORD-RECIPES.json": "d0768f2164d5f64a2fdbec422f1cfde4e400818792f1904ca541958377243731", + "CLIFFORD-REVIEW.json": "4960fd1215509b5347ef7f0092868f79aea0f8e24fb84352da9a1033e4394007", + "RESIDUAL-ADAPTERS.json": "c682e9ff1b347f89771c6800f46ad98c2bb92b91c5c88452d53a9e7f0180c35f" + } + }, + "widths_by_provider": { + "gauge44": { + "4": 56, + "5": 32, + "7": 30, + "8": 122, + "9": 240 + } + }, + "provider_counts": { + "gauge44": 144 + }, + "all_provider_program_phase_and_wrapper_bindings": true, + "scope": "Independent exact asynchronous chronology, per-replica phase projection, owner/chart/paid-profile audit. Uses per-invocation local providers bound by exact scalar, phase and residual-wrapper receipts; all-size compilation and complete coefficient invoice are separate inherited obligations." +} diff --git a/research/frontier1094-idle-exchanges/replay/audit/GLOBAL-PREFIX.json b/research/frontier1094-idle-exchanges/replay/audit/GLOBAL-PREFIX.json new file mode 100644 index 0000000000..1957ae0d44 --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/audit/GLOBAL-PREFIX.json @@ -0,0 +1,13 @@ +{ + "status": "PASS_MIXED_ASYNC_GLOBAL_PREFIX", + "template_sha256": "dce77bd7ccffef70175526fd6a6f380a444410e1beae51bc8b76548dea45e9ae", + "global_prefix_bits": 397, + "retained_payload_bits": 512, + "complete_invocation_cover_sweeps": 144, + "bridge_factor_two_sweeps": 144, + "local_scalar_coefficient_work_prefix_bits": 68, + "stream_input_sup_to_l2_bits": 37, + "primitive_arithmetic_margin_bits": 4, + "controller_audit_sha256": "379ba532252ebac05b9c89a877dff1caee7254d07a0c42c42383088aa22c4e42", + "proof": "Each selected normalized provider restores all arbitrary dirty helper columns and gives the same data shear endpoints. Actual whole-owner charts are right-translation bijections. Sum all 144 invocation and 144 bridge sweeps and take maximum local scalar/Horner prefix over all three providers and orientations. Idle children, phases, spectator endpoints and terminal translations are unitary. Retained all-size interfaces are conditional." +} diff --git a/research/frontier1094-idle-exchanges/replay/audit/IDLE-REMAINDER-FRAMES.json b/research/frontier1094-idle-exchanges/replay/audit/IDLE-REMAINDER-FRAMES.json new file mode 100644 index 0000000000..c91b15049c --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/audit/IDLE-REMAINDER-FRAMES.json @@ -0,0 +1,16 @@ +{ + "status": "PASS_LITERAL_IDLE_REMAINDER_FRAMES", + "template_sha256": "dce77bd7ccffef70175526fd6a6f380a444410e1beae51bc8b76548dea45e9ae", + "uncompressed_frames_sha256": "0fc351a1a254e7329f7f14b1dc2fb67ef2cfb93961457d5030db9c656eb84ab5", + "children": 7526, + "rank_profile": { + "1": 2276, + "3": 377, + "7": 7, + "45": 1825, + "48": 1216, + "51": 1825 + }, + "source_data_phase_sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "scope": "Actual orthogonal axes after the independently checked whole-owner prefix in each inherited pending child." +} diff --git a/research/frontier1094-idle-exchanges/replay/audit/OWNERS-AND-PROFILE.json b/research/frontier1094-idle-exchanges/replay/audit/OWNERS-AND-PROFILE.json new file mode 100644 index 0000000000..7828da505a --- /dev/null +++ b/research/frontier1094-idle-exchanges/replay/audit/OWNERS-AND-PROFILE.json @@ -0,0 +1,54 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE", + "template_sha256": "dce77bd7ccffef70175526fd6a6f380a444410e1beae51bc8b76548dea45e9ae", + "paid_profile": { + "1": 349604, + "2": 60192, + "3": 62585, + "4": 20448, + "5": 11808, + "7": 7, + "8": 1152, + "45": 1825, + "48": 1216, + "51": 1825 + }, + "live": 14336, + "physical": 14826, + "rank_mass": 1041408, + "deficit": 5120, + "hosted_residuals": 69120, + "banked_residuals": 0, + "all_live_owners_per_call_distinct": true, + "owners_per_call": 704, + "actual_helper_owner_charts": 69120, + "actual_73column_sigmas": 10002, + "cross_replica_helper_roles": 57480, + "explicit_idle_remainder_children": 7526, + 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"provider_phase_semantic_sha256": { + "gauge44": "4960fd1215509b5347ef7f0092868f79aea0f8e24fb84352da9a1033e4394007" + }, + "provider_artifact_semantic_sha256": { + "gauge44": { + "CANONICAL-WORD.json.gz": "4ddb29fb9bc6f27e0c0fbfcf19a2a93a3496ad900d0f6d89059d0305c9576c0c", + "LOCAL-PROGRAMS.json.gz": "9f41d53659e9be84e20c661560c5687abbf5cd0660cdecbe01ad5eb29e6b8ee3", + "LOCAL-CHECKS.json": "18f09b79835aa352f04d27041d86d1338c5ad0094b888588c1c05af2dc399ffd", + "INDEPENDENT-LOCAL-REPLAY.json": "2d4680965c62db1fde1236c4857b19bf7bc97af58805e6b4109afbc452f0fdd8", + "CLIFFORD-RECIPES.json": "d0768f2164d5f64a2fdbec422f1cfde4e400818792f1904ca541958377243731", + "CLIFFORD-REVIEW.json": "4960fd1215509b5347ef7f0092868f79aea0f8e24fb84352da9a1033e4394007", + "RESIDUAL-ADAPTERS.json": "c682e9ff1b347f89771c6800f46ad98c2bb92b91c5c88452d53a9e7f0180c35f" + } + }, + "controller_audit_sha256": "379ba532252ebac05b9c89a877dff1caee7254d07a0c42c42383088aa22c4e42" +} diff --git 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"halving_integer_inequality": [ + 5329, + 5202 + ], + "G_exponent": 30000, + "E_exponent": 100000, + "C0_exponent": 210000 + }, + "strict_checks": { + "local_primitive_bound": true, + "logical": true, + "router": true, + "literal": true, + "mass": true, + "precision": true, + "tape": true, + "row": true, + "halving": true + }, + "scope": "Actual call-specific mixed scalar, Horner, wrappers and paid children recounted. All three providers use fresh hash-bound independent all-column/frame/phase/normalization admission. Shared compiler uses conservative maxima; parent is geometry/overcharge only. All-size compiler, hosting, precision/tape and analytic transfer remain conditional." +} diff --git a/research/frontier1094-idle-exchanges/verify_overlay.py b/research/frontier1094-idle-exchanges/verify_overlay.py new file mode 100644 index 0000000000..0f50f97ef2 --- /dev/null +++ b/research/frontier1094-idle-exchanges/verify_overlay.py @@ -0,0 +1,170 @@ +#!/usr/bin/env python3 +"""Independent checks for the #1094 idle-axis overlay.""" +import argparse, gzip, hashlib, json +from collections import Counter, defaultdict +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[2] +OUT = Path(__file__).resolve().parent +OWNER_MAP = ROOT / 'research/complex-t16-rare-pattern-exchanges/OWNERS.json.gz' + + +def sha(p): return hashlib.sha256(Path(p).read_bytes()).hexdigest() +def read(p): + data=Path(p).read_bytes() + return json.loads(gzip.decompress(data) if str(p).endswith('.gz') else data) +def dot(a,b): return (int(a)&int(b)).bit_count()&1 +def rank(vs): + pivots={} + for x in map(int,vs): + while x: + b=x.bit_length()-1 + if b in pivots: x^=pivots[b] + else: pivots[b]=x;break + return len(pivots) +def phase_poly(axes): + linear=[0]*73; quad=Counter() + for axis in map(int,axes): + support=[i for i in range(73) if axis>>i&1] + for i in support: linear[i]=(linear[i]+1)&3 + for q,i in enumerate(support): + for j in support[q+1:]:quad[i,j]=(quad[i,j]-2)&3 + return linear,{k:v for k,v in quad.items() if v} + +def transfer_possible(source,target,recipe): + left=list(map(int,source['orthogonal_axes'])) + right=list(map(int,target['orthogonal_axes'])) + ys=[int(s[k]) for s in recipe['stage_alignment'] + for k in ('entry_Y','exit_Y')]+[int(recipe['terminal_Y_translation'])] + xs=[int(s[k]) for s in recipe['stage_alignment'] + for k in ('entry_X','exit_X')] + terminal=[int(recipe['idle_children'][c]['translation_after']) + for c in (source['child'],target['child'])] + moved=[v for v in left if all(dot(v,x)==0 for x in right+ys+xs+terminal)][:3] + if len(moved)<3:return False + return rank([v for v in left if v not in moved])==45 and rank(right+moved)==51 + +def main(): + parser=argparse.ArgumentParser(description=__doc__) + parser.add_argument('--replay-root',type=Path,required=True, + help='Extracted candidate/strict/global directory from selected-replay.tar.gz') + parser.add_argument('--baseline-hosted-root',type=Path, + help='Freshly emitted/audited baseline hosted directory; defaults to replay-root/hosted') + args=parser.parse_args();replay=args.replay_root.resolve() + base=replay/'base';hosted=(args.baseline_hosted_root or replay/'hosted').resolve() + old_t=read(hosted/'GLOBAL-TEMPLATE.json.gz');new_t=read(OUT/'GLOBAL-TEMPLATE.json.gz') + old_f=read(hosted/'IDLE-REMAINDER-FRAMES.json.gz');new_f=read(OUT/'IDLE-REMAINDER-FRAMES.json.gz') + phases=read(base/'work/complex-nine-native/DATA-PHASES.json') + owners=read(OWNER_MAP);overlay=read(OUT/'IDLE-PAIR-OVERLAY.json') + assert overlay['source_template_sha256']==sha(hosted/'GLOBAL-TEMPLATE.json.gz') + assert overlay['source_frames_sha256']==sha(hosted/'IDLE-REMAINDER-FRAMES.json.gz') + assert overlay['source_phases_sha256']==sha(base/'work/complex-nine-native/DATA-PHASES.json') + assert overlay['source_owner_map_sha256']==sha(OWNER_MAP) + old={(r['replica'],r['port'],r['child']):r for r in old_f} + new={(r['replica'],r['port'],r['child']):r for r in new_f} + assert old.keys()==new.keys() + roles={(r['owner_replica'],r['port'],r['child']) for r in owners} + recipes={r['port']:r for r in phases['recipes']} + edits=[];pairs=overlay['pairs'];used=set() + for pair in pairs: + rep,port=pair['replica'],pair['port'] + ka=(rep,port,pair['left_child']);kb=(rep,port,pair['right_child']) + assert ka not in used and kb not in used;used.update((ka,kb)) + a,b=old[ka],old[kb];aa,bb=new[ka],new[kb] + assert a['rank']==b['rank']==48 and a['hosted']==b['hosted']==0 + assert a['pending_offset']==b['pending_offset']==0 + assert ka not in roles and kb not in roles + moved=list(map(int,pair['moved_axes'])) + olda=list(map(int,a['orthogonal_axes']));oldb=list(map(int,b['orthogonal_axes'])) + assert len(moved)==3 and olda==pair['old_axes_left'] and oldb==pair['old_axes_right'] + assert pair['new_axes_left']==[v for v in olda if v not in moved] + assert pair['new_axes_right']==oldb+moved + assert aa['rank']==45 and bb['rank']==51 + assert aa['orthogonal_axes']==pair['new_axes_left'] and bb['orthogonal_axes']==pair['new_axes_right'] + assert rank(aa['orthogonal_axes'])==45 and rank(bb['orthogonal_axes'])==51 + assert all(dot(x,y)==(i==j) for i,x in enumerate(aa['orthogonal_axes']) + for j,y in enumerate(aa['orthogonal_axes'])) + assert all(dot(x,y)==(i==j) for i,x in enumerate(bb['orthogonal_axes']) + for j,y in enumerate(bb['orthogonal_axes'])) + recipe=recipes[port] + translations=[int(recipe['idle_children'][c]['translation_after']) for c in (a['child'],b['child'])] + ys=[int(s[k]) for s in recipe['stage_alignment'] for k in ('entry_Y','exit_Y')]+[int(recipe['terminal_Y_translation'])] + xs=[int(s[k]) for s in recipe['stage_alignment'] for k in ('entry_X','exit_X')] + assert all(dot(x,y)==0 for x in moved for y in oldb+ys+xs+translations) + assert phase_poly(olda+oldb)==phase_poly(aa['orthogonal_axes']+bb['orthogonal_axes']) + edits.extend((ka,kb)) + assert len(pairs)==1825 and len(edits)==3650 + # Each replica/port family has at most four idle rank-48 children, so an + # exhaustive bitmask matching proves this selected matching is maximal. + free=defaultdict(list) + for row in old_f: + key=(row['replica'],row['port'],row['child']) + if row['rank']==48 and row['hosted']==0 and row['pending_offset']==0 and key not in roles: + free[row['replica'],row['port']].append(row) + max_pairs=0 + for (rep,port),rows in free.items(): + n=len(rows); edge=set(); recipe=recipes[port] + for i in range(n): + for j in range(i+1,n): + if transfer_possible(rows[i],rows[j],recipe) or transfer_possible(rows[j],rows[i],recipe): + edge.add((i,j)) + memo={} + def best(mask): + if not mask:return 0 + if mask in memo:return memo[mask] + i=(mask&-mask).bit_length()-1 + value=best(mask&~(1<>j&1 and (i,j) in edge: + value=max(value,1+best(mask&~(1<

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